The sum of 4 consecutive integers is 26. What is the least of 4 integers?

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[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&5\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&9\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+5t+9\implies \stackrel{h(t)}{0}=-4.9t^2+5t+9 \implies 4.9t^2-5t-9=0[/tex]

since we don't get any neat integer values from it hmmm let's plug that in the quadratic formula to see what we get as h(t) = 0.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{-5}t\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-5) \pm \sqrt { (-5)^2 -4(4.9)(-9)}}{2(4.9)}\implies t=\cfrac{5\pm\sqrt{25+176.4}}{9.8} \\\\\\ t=\cfrac{5\pm \sqrt{201.4}}{9.8}\implies t\approx \begin{cases} 1.96~~\checkmark\\ -0.94 \end{cases}[/tex]

notice, we do not use the negative value for "t", since the seconds cannot be less than 0.

Answer:

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Step-by-step explanation:

Let Colombian coffee bought = [tex]x[/tex] lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs

Price of 1 lb Colombian coffee = $4.25

Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]

Price of 1 lb French roast coffee beans = $3.75

Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])

It is given that total money spent is $4.

As per given statement:

[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Answer:

Value of x = 8

(3x - 7) = (5x - 23)

-2x = -16

x = 8

Value of m 8 = 17 degrees

5(8) - 23

40 - 23 = 17

Answer:

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

A line has angle of 180 degrees.

So

[tex](2z+17)+(4z-23)=180\\6z-6=180\\6z=186\\z=31[/tex]

Answer:

y=5.5x

Step-by-step explanation:

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

[tex]Salary = \$1500[/tex]

[tex]Commission = 5\%\ of\ sales[/tex]

[tex]March\ Earnings = \$2500[/tex]

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

[tex]March\ Earnings = Salary + Commission[/tex]

[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]

Substitute values of March Earnings and Salary

[tex]2500 = 1500 + 5\% * x[/tex]

[tex]2500 = 1500 + 0.05 * x[/tex]

[tex]2500 = 1500 + 0.05x[/tex]

Solve for 0.05x

[tex]0.05x = 2500 - 1500[/tex]

[tex]0.05x = 1000[/tex]

Solve for x

[tex]x = 1000/0.05[/tex]

[tex]x = 20000[/tex]

Hence:

His March Earnings is $20000

[tex]\\ \rm\longmapsto 1/2(10x+20y+10z)[/tex]

[tex]\\ \rm\longmapsto 10x/2+20y/2+10z/2[/tex]

[tex]\\ \rm\longmapsto 5x+10y+5z[/tex]

Answer:

5x+10y+5z

Step-by-step explanation: it was on khan academy and it was right  

Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

Answer:

-2x^2 + 4x + 11

Step-by-step explanation:

whats 2x2 ? do you mean 2x^2 ? if so then...

8x + 4 - 2x^2 - 4x + 7

4x + 11 - 2x^2

-2x^2 + 4x + 11

Answer:

this is the answers 2x^2+4x+11

Answer:

6 times as many dogs as cats

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

So we know that if we combine all of the dogs and cats, we get 25. We also know that there are 4 times more dogs than cats, so we can call cats x, and dogs 4x.

So 4x + x = 25

5x = 25

x=5

There are 5 cats. Now that we know the number of cats , we just need to multiply that by 4, which is 20 dogs.

Answer:

[tex]\boxed {x_{1} = 3}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

Step-by-step explanation:

Solve the following equation:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:

-First equation:

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Second equation:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

-Choose one of the two following equations, which I choose the first one, then you solve for [tex]x_{1}[/tex] by isolating

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]3x_{1} + 2x_{2} + 1 - 1 = 2 - 1[/tex]

[tex]3x_{1} + 2x_{2} = 1[/tex]

-Subtract [tex]2x_{2}[/tex] to both sides:

[tex]3x_{1} + 2x_{2} - 2x_{2} = -2x_{2} + 1[/tex]

[tex]3x_{1} = -2x_{2} + 1[/tex]

-Divide both sides by [tex]3[/tex]:

[tex]3x_{1} = -2x_{2} + 1[/tex]

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

-Multiply [tex]-2x_{2} + 1[/tex] by [tex]\frac{1}{3}[/tex]:

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

-Substitute [tex]-\frac{2x_{2} + 1}{3}[/tex] for [tex]x_{1}[/tex] in the second equation, which is [tex]5x_{1} + 5x_{2} + 2 = -3[/tex]:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

Multiply [tex]-\frac{2x_{2} + 1}{3}[/tex] by [tex]5[/tex]:

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

-Combine like terms:

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

[tex]\frac{5}{3}x_{2} + \frac{11}{3} = -3[/tex]

-Subtract [tex]\frac{11}{3}[/tex] to both sides:

[tex]\frac{5}{3}x_{2} + \frac{11}{3} - \frac{11}{3} = -3 - \frac{11}{3}[/tex]

[tex]\frac{5}{3}x_{2} = -\frac{20}{3}[/tex]

-Multiply both sides by [tex]\frac{5}{3}[/tex]:

[tex]\frac{\frac{5}{3}x_{2}}{\frac{5}{3}} = \frac{-\frac{20}{3}}{\frac{5}{3}}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

-After you have the value of [tex]x_2[/tex], substitute for [tex]x_{2}[/tex] onto this equation, which is [tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]:

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

-Multiply [tex]-\frac{2}{3}[/tex] and [tex]-4[/tex]:

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

-Since both [tex]\frac{1}{3}[/tex] and [tex]\frac{8}{3}[/tex] have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

[tex]x_{1} = \frac{9}{3}[/tex]

[tex]\boxed {x_{1} = 3}[/tex]

Answer:(1,2)

Step-by-step explanation: The signs may not be right(positive, negative) Sorry it’s been a long time since I did this

Hey there!

[tex]⇢ \: A = 2wl + 2lh + 2hw[/tex]

Substitute

[tex]⇢ \: = 2(8)(17) + 2(17)(12) + 2(12)(8)[/tex]

[tex]⇒872[/tex]

Surface area = 872 square inches

Check the picture below.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]

Answer:

A

Step-by-step explanation:

[tex] {16}^{2} = {14}^{2} + {x}^{2} [/tex]

[tex]256 - 196 = {x}^{2} [/tex]

[tex]x = \sqrt{60} = 2 \sqrt{15} [/tex]

Answer:

-2.2y-1.8

Step-byStep-byStep-byStep-byStep-byStep-byStep-byStep-byStep-by

1.2y-3.4y=-2.2y

4.5-6.3=-1.8

ssoso:-2.2y-1.8

2x - 5 + 3x = 35

simplify

5x - 5 = 35

add 5 to both sides

5x - 5 + 5 = 35 + 5

simplify

5x = 40

divide both sides by 5

5x/5 = 40/5

simplify

x = 8

Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

Answer:

$75.50

Step-by-step explanation:

Answer:

f(x) = −6(x+ 1)(x +5)

Step-by-step explanation:

x-intercepts at (−1, 0) and (−5, 0)

so the roots are -1 and -5 (where the graph intersects the x-axis)

this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)

y-intercept at (0, −30) is telling us that when x= 0 the y = -30

y = a ( x+1)(x+5) , in general

y = a(0+1)(0+5), is the equation if x=0

-30 = a·1·5, we need y= -30 when x= 0

-30 = 5a , divide both sides of the equation by 5

-6 = a

The correct choice is :

f(x) = −6(x+ 1)(x +5)

f(x) = −6(x − 1)(x − 5)

f(x) = −5(x +1)(x +5)

f(x) = −5(x − 1)(x − 5).

Answer:

The 12 portions weigh a total of 12*0.7 = 8.4 lbs

So, the almonds weigh 8.4 - 3.6 = 4.8 lbs

Answer:

Step-by-step explanation:

Let raisins weight be x

Then we get equation

Solving for x

Option B is correct one

Answer:$51.5

Step-by-step explanation:

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

Know more about Data here:

https://brainly.com/question/19243813

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Answer:

x^2 + 8 = 64 is not a linear function

Step-by-step explanation:

using the process of elimination and a graphing calculator, you can see that the rest of the functions give you a linear function. therefore, the answer is x^2 + 8 = 64 is not a linear function!! i hope this helps you!! <3

The [tex]x^2 + 8 = 64[/tex] is not the liner function.

The following information regarding the linear function is:

Therefore we can conclude that the [tex]x^2 + 8 = 64[/tex] is not the liner function.

Learn more about the linear function here: brainly.com/question/20286983

[tex]ratio-of-red-blocks-to-yellow-blocks = \frac{number-of-red-blocks}{number-of-yellow-blocks} =\frac{12}{8} =\frac{3}{2}[/tex]

Answer: [tex]\frac{3}{2}[/tex] or   3 : 2

Hope it helps!

Answer:

3 : 2

Step-by-step explanation:

Answer:

its true, depending on the times table.

Answer:

True

Step-by-step explanation:

This statement is always true.

Using a t-distribution calculator, it is found that the critical value of t* for a 98% confidence interval with 25 observations is given by:

B. t* = 2.492

It is found using a calculator, with two inputs, which are given by:

In this problem, we have a confidence level of 98% and 25 - 1 = 24 df, hence the critical value is of t* = 2.492, which means that option B is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.