The perimeter of a square is 8 root 2x units. The area of a square is 56 units square. Find the value of x

Answers

Answer 1

According to the perimeter, the value of x is 7/2.

The problem tells us that the perimeter of a square is 8√2x units. We can use this information to set up an equation. Since all four sides of a square are equal, we can let s represent the length of one side of the square. Then, we know that:

Perimeter of square = 4s = 8√2x

We can simplify this equation by dividing both sides by 4:

s = 2√2x

Now, we can use this expression for s to find the area of the square. The area of a square is simply the length of one side squared. So, we have:

Area of square = s² = (2√2x)² = 8x

The problem tells us that the area of the square is 56 units square, so we can set up another equation:

8x = 56

Solving for x, we get:

x = 7/2

To know more about perimeter here

https://brainly.com/question/6465134

#SPJ4


Related Questions

suppose that 6 j of work is needed to stretch a spring from its natural length of 26 cm to a length of 36 cm. (a) how much work is needed to stretch the spring from 30 cm to 32 cm? (round your answer to two decimal places.) 0.6 incorrect: your answer is incorrect. j (b) how far beyond its natural length will a force of 20 n keep the spring stretched? (round your answer one decimal place.)

Answers

(a)The amount of work needed to stretch the spring from 30 cm to 32 cm is 0.6 J. (b) The distance the spring will be stretched by a 20 N force is 0.03 m.

The formula for the force needed to keep a spring stretched beyond its natural length is F = kx where F is the force, k is the spring constant, and x is the distance from the spring's natural length. The spring constant k is given by the formula: k = (Wd)/x² where W is the work done, d is the distance the spring is stretched from its natural length, and x is the distance from the spring's natural length.

Substituting the values for W, d, and x gives: k = (6 J)/(0.10 m)²

k = 600 N/m

Using the formula F = kx and substituting the values for F and k gives: 20 N = (600 N/m)x

Solving for x gives: x = (20 N)/(600 N/m)

x = 0.0333 m.

Hence, the correct answer is 0.03 m.

To learn more about "Work": brainly.com/question/8917733

#SPJ11

Can you help please? Thanks

Answers

The hypοtenuse's length is c = 17.

Hοw dο yοu figure οut hοw lοng the hypοtenuse is?

Add the square rοοts οf the οther sides tο find the hypοtenuse. Tο find the shοrter side, subtract the squares οf the οther sides, then take the square rοοt.

Using the Pythagοrean theοrem, we can calculate the length οf the right triangle's missing side:

[tex]a^2 + b^2 = c^2[/tex]

where a, b, and c are the lengths οf the triangle's legs, and c is the length οf the hypοtenuse.

The lengths οf the twο legs are given in this case: a = 8 and b = 15. Sο we can plug the fοllοwing values intο the equatiοn:

[tex]8^2 + 15^2 = c^2[/tex]

[tex]64 + 225 = c^2[/tex]

[tex]289 = c^2[/tex]

When we take the square rοοt οf bοth sides, we get:

[tex]c = \sqrt{(289)} = 17[/tex]

As a result, the hypοtenuse length is c = 17.

To know more about Length of Hypotenuse visit:

brainly.com/question/16893462

#SPJ1

The rate of depreciation dV/dt of a machine is inversely proportional to the square of t + 1, where V is the value of the machine t years after it was purchased. The initial value of the machine was $500,000, and its value decreased $100,000 in the first year. Estimate its value after 4 years.

Answers

The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = [tex]e^{10/(t + 1)²)}[/tex]

V = [tex]e^{10/(t + 1)²)}[/tex] + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = [tex]e^{10/(3 + 1)²}[/tex] + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

To know more about  rate of depreciation, refer here:

https://brainly.com/question/11861805#

#SPJ11

With respect to the average cost curves, the marginal cost curve: Intersects average total cost, average fixed cost, and average variable cost at their minimum point b. Intersects both average total cost and average variable cost at their minimum points Intersects average total cost where it is increasing and average variable cost where it is decreasing d. Intersects only average total cost at its minimum point

Answers

With respect to the average cost curves, the marginal cost curve: intersects both average total cost and average variable cost at their minimum points that is option B.

The fixed cost per unit of production is the average fixed cost (AFC). AFC will reduce consistently as output grows since total fixed costs stay constant. The variable cost per unit of production is known as the average variable cost (AVC). AVC generally declines until it reaches a minimum and then increases due to the growing and then lowering marginal returns to the variable input. The average total cost curve's (ATC) behaviour is determined by the behaviour of the AFC and AVC.

The marginal cost is the cost added to the overall cost of producing one extra unit of output. MC initially falls until it hits a minimum and then increases. When both AVC and ATC are at their minimal points, MC equals both. Also, when AVC and ATC are dropping, MC is lower; when they are growing, it is higher.Initially, the marginal cost of manufacturing is lower than the average cost of preceding units. When MC falls below AVC, the average falls. The average cost will reduce as long as the marginal cost is smaller than the average cost.When MC surpasses ATC, the marginal cost of manufacturing one more extra unit exceeds the average cost.

Learn more about Marginal cost curve:

https://brainly.com/question/15570401

#SPJ4

Complete question:

With respect to the average cost curves, the marginal cost curve:

A) Intersects average total cost, average fixed cost, and average variable cost at their minimum point

B) Intersects both average total cost and average variable cost at their minimum points

C) Intersects average total cost where it is increasing and average variable cost where it is decreasing

D) Intersects only average total cost at its minimum point

The velocity of a particle. P. moving along the x-axis is given by the differentiable function v, where (t) is measured in meters per hour and r is measured in hours. V() is a continuous and decreasing function Selected values of v(f) are shown in the table above. Particle P is at the t= 30 at time t = 0. T(hours) 0 2 4 7 10 V(t) (meters/hour) 20.3 14.4 10 7.3 5 (a) Use a Right Riemann sum with the four subintervals indicated by the data in the table to approximate the displacement of the particle between 0 hr to 10 hr. What is the estimated position of particle Pat t=10? Indicate units of measure. (b) Does the approximation in part (a) overestimate or underestimate the displacement? Explain your reasoning (c) A second particle, Q. also moves along the x-axis so that its velocity for O<=T<= 10 is given by VQ(t) = 35✓t cos( 0.06t^2) meters per hour. Find the time interval during which the velocity of particle vo(t) is at least 60 meters per hour. Find the distance traveled by particle Q during the interval when the velocity of particle Q is at least 40 meters per hour. (d) At time t = 0, particle Q is at position x = -90. Using the result from part (a) and the function vo(t) from part (c), approximate the distance between particles P and Q at time t = 10.

Answers

The velocity of a particle. P. moving along the x-axis is given by the differentiable function v, where (t) is measured is given by:

A differential function v gives the velocity of a particle P travelling down the x-axis, where v(t) is measured in metres per hour and t is measured in hours. v(t) is a declining function that is continuous. The table below shows several examples of v(t) values.

T [hours]                   0           2      4           7      10

v(t) [meters/hour] 20.3 14.4     10  7.3       5

a) We know that the particle's displacement is the area under the curve v(t). We can calculate the particle's displacement by integrating v(t). Because v(t) is a monotonous (constantly declining) differentiable function, it is also Riemann Integrable. There are now five non-uniform subdivisions:

Partition                     t0   t1 t2 t3 t4

T [hours]                      0           2 4 7 10

v(t) [meters/hour]   20.3 14.4 10 7.3 5

Using Right Riemann sum to approximate the displacement of particle between 0 hr and 10 hr is given by:

[tex]\sum_{n=1}^{4}v(t_n)\Delta t_n=v(t_1)(t_1-t_0)+v(t_2)(t_2-t_1)+v(t_3)(t_3-t_2)+v(t_4)(t_4-t_3) \\=(14.4)(2)+(10)(2)+(7.3)(3)+(5)(3) \\=28.8+20+21.9+15 \\=85.7[/tex]

Therefore, the total displacement between 0 hr and 10 hr is is 85.7 meters.

The estimated position of particle P at time t = 10 hour is 115.7 (= 30 +85.7) meters.

b) Because the function v(t) is decreasing and we are estimating the integral using the Right Riemann sum, the approximation in part(a) underestimates the displacement.

c) A second particle Q also moves along the x-axis so that its velocity is given by :

[tex]V_Q(t)=35\sqrt{t}\cos(0.06t^2)\text{ meters per hour for }0\leq t\leq 10.[/tex]

Hence, the time interval during which the velocity of a particle is atleast 60 meters per hour is [9.404, 10].

Now, the time periods during which a particle's velocity is at least 40 metres per hour are [1.321,4.006] and [9.218, 10]. The distance travelled by the particle Q when its velocity is at least 40 metres per hour is then calculated. :

[tex]\int_{1.321}^{4.006}v_Q(t)dt+\int_{9.218}^{10}v_Q(t)dt\\\\=\int_{1.321}^{4.006}35\sqrt{t}\cos(0.06t^2)dt+\int_{9.218}^{10}35\sqrt{t}\cos(0.06t^2)dt[/tex]

d) At time t = 0, particle Q is is at position x = -90.

We know that P is at xp =  115.7 meters.

Now, The position of Q at t = 10 hr is xq:

[tex]x_q=-90+\int_{0}^{10}v_Q(t)dt=-90+\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt[/tex]

And the distance between Q and P is given by :

[tex]|x_p-x_q|=|115.7-(-90+\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt)|[/tex]

               [tex]\\=|205.7-\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt|[/tex]

Learn more about Velocity particle question:

https://brainly.com/question/14879436

#SPJ4

If y varies inversely with x and y is = to 100 x = 25 what is the value of y when x=10

Answers

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=25\\ y=100 \end{cases} \\\\\\ 100=\cfrac{k}{25}\implies 2500=k\hspace{12em}\boxed{y=\cfrac{2500}{x}} \\\\\\ \textit{when x = 10, what's "y"?}\qquad y=\cfrac{2500}{10}\implies y=250[/tex]

listed are 29 ages for academy award winning best actors in order from smallest to largest. 18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 a. (5pts) find the score at the 20th percentile

Answers

The score at the 20th percentile is 27.

To find the score at the 20th percentile of the 29 ages for Academy Award winning best actors, follow the steps below:

Arrange the given ages from smallest to largest.

18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

Determine the total number of data points

n = 29

Find the rank of the percentile

20th percentile = (20/100) * 29 = 5.8 = 6 (rounded to the nearest whole number).The rank of the percentile is 6.

Use the rank to determine the corresponding data value. The corresponding data value is the value at the 6th position when the data is arranged in ascending order. The score at the 20th percentile is 27.

To learn more about score at percentile refer :

https://brainly.com/question/14444761

#SPJ11

-3(-4x + 5) = [?]x - [ ]


(Using the distributive property)

Answers

The answer to the distributive property-based problem -3(-4x + 5) = [?]x - [] is 12x - 15.

what is equation ?

A mathematical assertion proving the equality of two expressions is known as an equation. Variables, constants, and mathematical processes like addition, subtraction, multiplication, and division are frequently included. Finding the value of the variable that makes an equation correct is the aim of equation solving. Linear equations, quadratic equations, and exponential equations are just a few of the different ways that equations can be expressed.

given

-3(-4x + 5) = [?]x - [ ]

12x - 15

by distributive property

The answer to the distributive property-based problem -3(-4x + 5) = [?]x - [] is 12x - 15.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Select all numbers that are solutions to the inequality w < 1

Answers

In the case of the inequality w < 1, we found that the set of solutions is (-∞, 1), which represents all real numbers less than 1.

The inequality w < 1 means that w is less than 1. To identify all the numbers that satisfy this inequality, we need to look for values of w that are less than 1.

We can continue this process and substitute different values of w in the inequality w < 1 to find more solutions. For instance, if we substitute w = -1, we get -1 < 1, which is also true.

Therefore, -1 is a solution to the inequality w < 1. However, if we substitute w = 2, we get 2 < 1, which is false. This means that 2 is not a solution to the inequality w < 1.

Therefore, the set of all numbers that are solutions to the inequality w < 1 is the set of all real numbers that are less than 1. We can represent this set using interval notation as (-∞, 1), where (-∞) represents all numbers less than negative infinity and 1 represents the upper bound of the interval.

To know more about inequality here

https://brainly.com/question/28823603

#SPJ4

if log a = 0.05 , what is log (100a)?

Answers

0.6990 is value of logarithm .

A logarithm is defined simply.

The logarithm represents the power to which a number must be raised to obtain another number (see Section 3 of this Math Review for more about exponents).

                              As an illustration, the base ten logarithm of 100 is 2, since ten multiplied by two equals 100: log 100 = 2, since 102 = 100. Binary logarithms, which have a base of 2, natural logarithms, which have a base of e 2.71828, and common logarithms with a base of 10 are the four most popular varieties of logarithms.

Now, log0.1= log(1/10) =log (10^-1) =-1 log10

Here log 10= 1 .

 log a = 0.05

log (100a) =  log (100 * 0.05)

                 =  log( 5.00)

                 = log(5)

                = 0.6990

Learn more about logarithm

brainly.com/question/30085872

#SPJ1

Pizza burger taco shake

Answers

Answer:

Is there supposed to be a joke in this?

Answer:

bro what

Step-by-step explanation:

change the denominator of the fraction a+3/6-2a to 2(a^2-9)

Answers

The answer of the given question based on the changing the denominator of fraction the answer is the fraction a+3/6-2a can be rewritten with a denominator of 2(a²-9) as (3 + a)/(2(a - 3)).

What is Formula?

In mathematics,  formula is  mathematical expression or equation that describes  relationship between two or more variables or quantities. A formula can be used to solve problems or make predictions about particular situation or set of data.

Formulas often involve mathematical symbols and operations, like addition, subtraction, multiplication, division, exponents, and square roots. They may also include variables, which are typically represented by letters, and constants, which are fixed values that do not change.

To change the denominator of the fraction a+3/6-2a to 2(a²-9), we need to factor the denominator of the original fraction and then use algebraic manipulation to rewrite it in the desired form.

First, we can factor the denominator of the original fraction as follows:

6 - 2a = 2(3 - a)

Next, we can rewrite the denominator using the difference of squares formula:

2(a² - 9) = 2(a + 3)(a - 3)

Now, we can use the factored form of the denominator to rewrite the original fraction:

(a + 3)/(6 - 2a) = (a + 3)/(2(3 - a)) = -(a + 3)/(-2(a - 3)) = (3 + a)/(2(a - 3))

Therefore, the fraction a+3/6-2a can be rewritten with a denominator of 2(a²-9) as (3 + a)/(2(a - 3)).

To know more about Equation visit:

https://brainly.com/question/9312365

#SPJ1

PLS HELPPPP

A group of friends go to a basketball game. The function b(x) represents the amount of money spent, where x is the number of friends at the game. Does a possible solution of (4.5, $107.75) make sense for this function? Explain your answer.

• Yes. The input and output are both possible.
• No. The input is not possible.
• No. The output is not possible.
• No. Neither the input nor output is possible.

Part B: During what interval(s) of the domain is the baseball's height staying the same? (2 points)
Your answer


Part C: During what interval(s) of the domain is the baseball's height decreasing the fastest? Use complete sentences to support your answer.


• 6 -x ‹ 8; the slope is the steepest for this interval
• 8-x < 10; the slope is the steepest for this interval
• 6 • 6

Part A: During what interval(s) of the domain is the baseball's height increasing?

Answers

Answer:

This is not my own answer it is a copied one.

If h (x) represents the amount of money spent and x the amount of friends, then we can write it as in a pair as (x, h (x)) Then the pair given is (6.5, $92.25) Here you see a problem, x is 6.5, knowing that x represents the amount of friends, this is a problem because you need to have a whole number ( you can't have a 0.5 of a friend)

Suppose a product's revenue function is given by R(q) = - 7q + 600qr. Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to use the proper variable in your answer. (Use the preview button to check your syntax before submitting your answer.) Answer: MR(q) =

Answers

The expression for the marginal revenue function is MR(q) = 600r - 7.

The given product's revenue function is R(q) = - 7q + 600qr.

To find an expression for the marginal revenue function, we can use the following steps:

Step 1: Take the first derivative of the revenue function with respect to q to obtain the marginal revenue function MR(q).

Step 2: Simplify the expression for MR(q) to record the final result.

In other words, the marginal revenue function MR(q) is the derivative of the revenue function R(q) with respect to q. Here, R(q) = - 7q + 600qr.

So, we have to differentiate R(q) with respect to q to get MR(q).

The derivative of - 7q with respect to q is - 7.

The derivative of 600qr with respect to q is 600r because the derivative of q with respect to q is 1.

MR(q) = dR(q) / dq

= (d/dq)(- 7q + 600r)

= (- 7) + (600r)

= 600r - 7

The equation that represents the marginal revenue function is MR(q) = 600r - 7.

To know more about the "marginal revenue function": https://brainly.com/question/2264821

#SPJ11

Use the shell method to write and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. x + y2 = 4 y 2 1 X 2 4

Answers

In the following question, among the conditions given, The volume of the solid generated by revolving the plane region about the x-axis is (128/3)π.

To find the volume of the solid generated by revolving the plane region about the x-axis, we can use the shell method. The given region is bounded by the lines x=2, y=1 and x+y^2=4.

The integral to evaluate is:
V = 2π ∫r2h dx,
where r = x+y^2 = 4, h = y = 1, and x varies from 2 to 4.

Therefore, V = 2π ∫4^2*1 dx, from x = 2 to x = 4.

Evaluating the integral, we have:
V = 2π[4x^3/3]24
V = 2π(64/3 - 8/3)
V = (128/3)π
Therefore, the volume of the solid generated by revolving the plane region about the x-axis is (128/3)π.

For more such questions on plane region

https://brainly.com/question/2254410

#SPJ11


in new york city at rush hour, the chance that a taxicab passes someone and is available is 15%. what is the probability that at least 10 cabs pass you before you find one that is free (before: success on 11th attempt or later).

Answers

The probability that at least 10 cabs pass you before you find one that is free is 0.00528665 or approximately 0.53%.

How to determine the probability

The solution to the problem is explained below:

Let, P(passes someone) = 0.15 or 15%

P(available taxi cab) = 0.85 or 85%

Let X be the number of cabs that pass before you find an available taxi cab. In order to find the probability that you see at least 10 cabs pass before you find a free one, we have to use the cumulative distribution function (CDF).

The probability that X is greater than or equal to 10 is equivalent to 1 - (the probability that X is less than 10). That is,P(X >= 10) = 1 - P(X < 10)

The probability that X is less than 10 is the probability of seeing 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 taxis pass you by.

Hence,P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)P(X = 0) = P(find an available taxi cab on the 1st attempt) = P(available taxi cab) = 0.85

P(X = 1) = P(find an available taxi cab on the 2nd attempt) = P(passed by the 1st taxi cab) x P(available taxi cab on the 2nd attempt) = (1 - P(available taxi cab)) x P(available taxi cab) = 0.15 x 0.85 = 0.1275

P(X = 2) = P(passed by the 1st taxi cab) x P(passed by the 2nd taxi cab) x P(available taxi cab on the 3rd attempt) = (1 - P(available taxi cab))² x P(available taxi cab) = 0.15² x 0.85 = 0.01817

P(X = 3) = (1 - P(available taxi cab))³ x P(available taxi cab) = 0.15³ x 0.85 = 0.002585

P(X = 4) = (1 - P(available taxi cab))⁴ x P(available taxi cab) = 0.15⁴ x 0.85 = 0.0003704

P(X = 5) = (1 - P(available taxi cab))⁵ x P(available taxi cab) = 0.15⁵ x 0.85 = 0.00005287

P(X = 6) = (1 - P(available taxi cab))⁶ x P(available taxi cab) = 0.15⁶ x 0.85 = 0.000007550

P(X = 7) = (1 - P(available taxi cab))⁷ x P(available taxi cab) = 0.15⁷ x 0.85 = 0.0000010825

P(X = 8) = (1 - P(available taxi cab))⁸ x P(available taxi cab) = 0.15⁸ x 0.85 = 0.000000154

P(X = 9) = (1 - P(available taxi cab))⁹ x P(available taxi cab) = 0.15⁹ x 0.85 = 0.0000000221

Hence,P(X < 10) = 0.85 + 0.1275 + 0.01817 + 0.002585 + 0.0003704 + 0.00005287 + 0.000007550 + 0.0000010825 + 0.000000154 + 0.0000000221 = 0.99471335

P(X >= 10) = 1 - P(X < 10) = 1 - 0.99471335 = 0.00528665

Therefore, the probability that at least 10 cabs pass you before you find one that is free is 0.00528665 or approximately 0.53%.

Learn more about probability at

https://brainly.com/question/31112320

#SPJ11

Audrey and Harper are selling fruit for a band fundraiser. Customers can buy small crates of apples and large containers of peaches. Audrey sold 3 small crates of apples and 10 large containers of peaches for a total of $116. Harper sold 11 small crates of apples and 20 large containers of peaches for a total of $292. Find the cost each of one small crate of apples and one large container of peaches. A) Define your variables. Write a system of equations to represent the situation. Solve using any method. Show all of your work. Andrew decides he wants to help the band as well. He sells 7 small crates of apples and 5 larges containers of peaches. How much money does he raise for the band?

Answers

The cost of one small crate of apples is $12 and the cost of one large crate of peaches is $8. The cost of 7 small cates of apples and 5 large containers of peach is $126.

What is the cost of 7 small crates and 5 large containers?

The system of equations that describe the question is:

3s + 10l = 116 equation 1

11s + 20l = 292 equation 2

Where:

s = cost of one small crate of apples

l = cost of one large crate of peaches

The elimination method would be used to determine the values of s and l.

Multiply equation 1 by 2

6s + 20l = 232 equation 3

Subtract equation 3 from equation 2:

5s = 60

Divide both sides of the equation by 5

s = 60 / 5

s = $12

Substitute for s in equation 1:

3(12) + 10l = 116

36 + 10l = 116

10l = 116 - 36

10l = 80

l = 80 / 10

l = 8

Cost of 7 small crates of apples and 5 large containers of peaches = (7 x 12) + (8 x 5) = $124

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

Which of the following statements is about CD and CE is true? A. CD is longer than CE B. CE is longer than CD C. CD and CE are the same length D. CE is 5 units long

Answers

From the given graph, CE is longer than CD.

What is the distance between two coordinates?

The length of the line segment bridging two locations in a plane is known as the distance between the points. d=√((x₂ - x₁)²+ (y₂ - y₁)²) is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.

Coordinates of E(8,6)

Coordinates of C(6,1)

Coordinates of D(3,-3)

x=8, y=6

x=6, y=1

x=3, y=-3

Distance CE=√{(8-6)² +(6-1)²} = √29

Distance CD=√{(6-3)² +(1+3)²}= √25=5

Therefore, CE is longer than CD.

To know more about lines, visit

https://brainly.com/question/30003330

#SPJ1

The vertex of the parabola below is at the point (5, -3). Which of the equations
below could be the one for this parabola?-ہے
A. y=-3(x-5)^2-3
B. x=3(y-5)^2-3
C. x=3(y+3)^2+5
D. x=-3(y+3)^2+5

Answers

None of the available options match the parabola's equation.

Which might be the parabola's equation?

To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(xh)2+k, and then to determine the value of the coefficient a.

A parabola's vertex form is given by:

[tex]y = a(x-h)^2 + k[/tex]

where (h,k) is the parabola's vertex.

[tex]y = a(x-5)^2 - 3[/tex]

These values are substituted into the equation to produce:

[tex]-15 = a(2-5)^2 - 3[/tex]

[tex]-15 = 9a - 3[/tex]

[tex]-12 = 9a[/tex]

[tex]a = -4/3[/tex]

[tex]y = (-4/3)(x-5)^2 - 3[/tex]

This equation is expanded and simplified to produce:

[tex]y = (-4/3)x^2 + (32/3)x - 53[/tex]

To know more about parabola's visit:-

https://brainly.com/question/4074088

#SPJ1

The circumference of a circle is 23π cm. What is the area, in square centimeters? Express your answer in terms of π .

Answers

Answer:

132.25 π

Step-by-step explanation:

The formula for circumference is 2πr. 2πr = 23π, so r = 11.5

Formula for area is πr^2

11.5^2 * π = 132.25 π

Hope this helps!

10) A rectangle has a width of 2m+3. The length
is twice as long as the width. What is the length
of the rectangle?

Answers

Answer:

4m + 6

Step-by-step explanation:

Since the length is twice as long your equation should look like this

2(2m + 3) = L

which would be 4m + 6 as the length of the rectangle

you decide to record the hair colors of people leaving a lecture at your school. what is the probability that the next person who leaves the lecture will have gray hair? express your answer as a simplified fraction or a decimal rounded to four decimal places. counting people blonde red brown black gray 50 40 39 33 43

Answers

The probability is a fraction of 43/205 which is approximately 0.2098.

What is the probability that the next person who leaves the lecture will have grey hair?

To calculate the probability of the next person who leaves the lecture having gray hair, we need to know the total number of people who left the lecture, as well as the number of people who have gray hair.

From the given data, we can see that there were a total of 50+40+39+33+43 = 205 people who left the lecture. We also know that there were 43 people who had gray hair.

Therefore, the probability of the next person who leaves the lecture having gray hair is:

P(gray hair) = (number of people with gray hair) / (total number of people who left the lecture)

P(gray hair) = 43/205

P(gray hair) ≈ 0.2098

Learn more on probability here;

https://brainly.com/question/24756209

#SPJ1

PLEASE HELP ME WITH THISSS!!!

Answers

Answer:

x = 1

Step-by-step explanation:

x + x + x + 30 = 33

3x + 30 = 33

3x + 30 - 30 = 33 - 30

3x = 3

x = 3/3 = 1

Find a basis for the vector space of polynomialsp(t)of degree at most two which satisfy the constraintp(2)=0. How to enter your basis: if your basis is1+2t+3t2,4+5t+6t2then enter[[1,2,3],[4,5,6]]

Answers

In the following question, among the conditions given, {q1, q2} is a basis for the vector space of polynomials p(t) of degree at most two that satisfy the constraint p(2) = 0. In this particular case, we must enter our basis as [[1,0,-4],[0,1,-2]], since q1(t) = t^2 - 4 and q2(t) = t - 2.

To find a basis for the vector space of polynomials p(t) of degree at most two which satisfy the constraint p(2)=0, we can take the following steps:
1. Rewrite the polynomials as linear combinations of the form a + bt + ct^2
2. Use the constraint p(2) = 0 to eliminate one of the coefficients a, b, or c
3. Normalize the polynomials so that they are unit vectors
For example, if your basis is 1 + 2t + 3t^2, 4 + 5t + 6t2 then you can enter it as [[1,2,3],[4,5,6]].

For more such questions on polynomials

https://brainly.com/question/4142886

#SPJ11

Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 12. What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?
A. -3
B. -1.5
C. 1.5
D. 3

Answers

The z-score formula is:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

Substituting the given values:

z = (13 - 16) / 12
z = -0.25

Therefore, the z-score for a wide receiver who dropped 13 footballs over the course of a season is closest to option A: -3.

expand and simplify 4(2x-1)+3(2x+5)

Answers

Answer:

Step-by-step explanation: 4(2x-1)+3(2x+5)

Expand the expression to eliminate the brackets

8x-4+6x+15.....Expansion

Now simplify by grouping like terms

8x+6x-4+15

8x+6x=14x

-4+15=11

Therefore simplification=14x+11

If a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11

Answers

True. If a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11.

When a two-digit number is reversed, it becomes a new number with the digits swapped, e.g., 12 becomes 21. The difference between the original number and the reversed number is obtained by subtracting one from the other. For example, the difference between 12 and 21 is 9. It can be observed that the difference between any two-digit number and its reverse is always a multiple of 9.

Now, let's consider the three-digit number ABC. When this number is reversed, it becomes CBA. The difference between the two is

(100C + 10B + A) - (100A + 10B + C) = 99(C - A),

which is a multiple of 11.

Therefore, if a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11.

Learn more about Counting Numbers:

https://brainly.com/question/29269537
#SPJ4

Complete Question:

If a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11. True/ False.

a rectangular swimming pool 50 ft long, 30 ft wide, and 8 ft deep is filled with water to a depth of 6 ft. use an integral to find the work required to pump all the water out over the top. (take as the density of water lb/ft. )

Answers

The work required to pump all the water out of the rectangular swimming pool over the top is approximately 2,323,200 ft-lb.

We have,

To find the work required to pump all the water out of the rectangular swimming pool, we can use the concept of work as the force multiplied by the distance.

First, let's calculate the weight of the water in the pool.

The weight of an object is given by the formula:

Weight = mass x gravitational acceleration

Since the density of water is given as 1 lb/ft³, we need to find the volume of water in the pool.

The volume of the pool is given by the formula:

Volume = length x width x depth

Volume = 50 ft x 30 ft x 6 ft = 9000 ft³

Now, let's calculate the weight of the water:

Weight = density x volume x gravitational acceleration

Weight = 1 lb/ft³ x 9000 ft³ x 32.2 ft/s² ≈ 290,400 lb

To pump all the water out over the top, we need to raise it to the height of the pool, which is 8 ft.

The work required to pump the water out is given by the formula:

Work = weight x height

Work = 290,400 lb x 8 ft = 2,323,200 ft-lb

Therefore,

The work required to pump all the water out of the rectangular swimming pool over the top is approximately 2,323,200 ft-lb.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ12

Find the value of the expression x+|x| if x≥0

Answers

Step 1: x is a positive number, so the absolute value of x will be equal to x.

Step 2: The expression x+|x| simplifies to 2x

Step 3: Therefore, the expression x+|x| = 2x if x≥0

could someone help me with 7 and 8 i don’t really understand this..

Answers

By answering the presented question, we may conclude that from the given graph we can say that zeros are = (-3,-1 ) and (--5,-9) ; y - intercept is, y = -2x/3 + 15 and vertex are = (-0-1)

What exactly are graphs?

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.

from the given graph we can say that

zeros are = (-3,-1 ) and (--5,-9)

y - intercept is, y = -2x/3 + 15

vertex are = (-0-1)

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Other Questions
For this truss geometry:|/\|/\|/\|/\|Select one or more:a. The bottom chords do not usually need the verticals, since the bottom chords are not subjected to bending loads and the bottom chords only go into compression under severe wind suction that overcomes the dead weight of the structure.b. This is called a Modified Warren Truss.c. The vertical webs help brace the top chord against buckling upward and downward.d. The vertical webs help support parts of the top chord, thereby reducing the span, and associated bending stress, of the top chord under the uniform gravity force of the decking resting on the top chord of the truss.e. The unbraced length for the bottom chords is twice as long as the unbraced length for the top chords. Which sentence uses the most precise language?a. A car uses four wheels and an engine to transport people.b. The car was going fast.c. The man honked his horn.d. The red Mustang zipped past the finish line. What is the prefix/suffix of Contented as well as its root. 8. The circle graph shows the favorite gametype of students in Ms. Hunter's class.3.FR.1.1SportFavorite Game TypeBComputerWhat fraction of the students chose card?A121126Board210Card An exceptionally clear recollection of an important event is a (an) ________.a. engramb. arousal theoryc. flashbulb memoryd. equipotentiality hypothesis what forms of transportation were improved or invented at this time? The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds Construct a 95% confidence interval for the population mean weight of newborn elephants. State the confidence interval (Round your answers to two decimal places.) Sketch the graph. (Round your answers to two decimal places.) CL - 0.95 X Calculate the error bound (Round your answer to two decimal places) _____ is the most significant driver of global climate change. it is considered to be both natural and unnatural.\ In which of the following cases does a car have a negative velocity and a positive acceleration? A car that is traveling in the ................. (A) -x direction at a constant 10 m/s. (B) - direction increasing in speed. (C) +x direction increasing in speed. (D) - direction decreasing in speed. (E) +x direction decreasing in speed. Explain one effect of participants and spectators and referees behaviour in preventing effort of nationbuilding One of the principal effects of 9/11 was instilling in Americans a fear that their personal security was at greater risk than ever before. Many aspects of the post-9/11 world are indeed new, but the fear it evokes echoes that felt by prior generations. At times the country has met those fears while still holding fast to its core democratic principles. Other times, fear has overruled American principles, especially the protection of individual freedoms. The most important legacy of the American experience following 9/11 will not be the novelty of fear, but rather how well the country copes with that fear while adhering to its constitutional framework. Given how searing the 9/11 experience was, it is sometimes hard to remember that prior generations of Americans didnt always sleep soundly either. Pearl Harbor is an often-cited example, but it joins many other moments of intense fear in U.S. history. During the 40-plus years of the Cold War, American school children practiced "duck and cover" drills the way todays kids might practice school lock-downs. As a teenage in the 1980s, I joined Sting in hoping we could avert a nuclear holocaust if "the Russians love their children, too."With the collapse of the Soviet Union, other threats in the United States soon appeared: the 1993 World Trade Center bombing, the 1995 Oklahoma City bombing, and the 1996 Atlanta Olympic Park bombing, to name just a few. During the 1990s, some in the military liked to refer to the United States as a "homeland sanctuary;" after 9/11, many talk about the end of that sanctuary.True, the country has experienced fewer external threats to its population than have most other nations. But its a misconception to think that the American sense of external threat is new.-Kathleen Hicks, "What Will Americans Do About Their Fear of Terrorism?" The Atlantic Monthly, 2016.The experience of those who lived through 9/11 needs to create which of the following outcomes, according to the author of the passage?a. Citizens should not let their fear of another terror attack override the countrys ability to adhere to the civil liberties protections outlined in the Constitution.b. Citizens need to acknowledge that the 9/11 attack was a unique event and work to develop a new strategy to combat future terror attacks.c. Citizens have to be willing to sacrifice some civil liberties in order to protect the country from future terrorist attacks.d. Citizens can rely on the government to develop plans to protect them in the event of a future attack on the United States. All organisms need to exchange substances with the environment in order to survive. Outline how multicellular organisms and single-celled organisms exchange substances, and explain why they exchange substances differently. (6 marks) Which of the following policies should be adopted to help reduce increasing congestion caused by devices attempting to resend lost packets too quickly or too often?Retransmission policyWindow policyDiscarding policyAdmission policy The ___ test for estimating vo2 max is based on the principle that your heart rate returns to resting levels after exercise faster when you have a higher level of cardiorespiratory fitness.1.5 mile runstep cycle ergometer1-mile walk What type of bankruptcy allows the debtor to keep his or her property and pay debts over a period of 3/5 years? prove that n lines separate the plane into (n2 n 2)/2 regions if no two of these lines are parallel and no three pass through a common point. Some Americans believe that Europeans produce superior automobiles. Others believe that French wines are better than American wines. These examples best fit with the concept _______. Use formal charge to explain why the fulminate ion is less stable and therefore more reactive) than the cyanate ion. Match the items in the left column to the appropriate blanks in the sentences on the right. Reset Help more Each resonance contributor for the fulminate ion the octet less rule. the sum of the formal charges is -1 When comparing the electronegativity values, Nis electronegative than C, thus structures with a negative formal charge on C stable and structures with a positive formal charge on N are stable the octet rule is not obeyed are does not follow follows Given this information, the fulminate ion is unstable mainly because more resonance contributors are needed formal charge distribution is unfavored A former world heavyweight boxing champion tells us why we should patronize a chain of automotive repair shops. "If you are between the ages of 50 and 85, you can't be turned downl" says game show host Kent McCoy about a brand of life insurance A. Plain folks B. Name calling CC.Glittering generalities D. Testimonial brianna is playing with her son, kevin. when brianna smiles at kevin, he smiles back at her, and when kevin smiles at his mother she responds by smiling back at him. this shows that brianna and kevin are engaging in_____