Answer:
19,2 l
Step-by-step explanation:
It's given that the area = 96 [tex]m^{2}[/tex]
// make a proportion
1 liters - 5 [tex]m^{2}[/tex]
x liters - 96 [tex]m^{2}[/tex]
x = 96/5 = 19,2 (l)
For the function below, write the differential. f(x) = ln(1 + x2) dy = Calculate dy for the given values of x and dx. x = 2 and dx = 0.2 dy = How accurate is dy in approximating ?y (i.e., what is their difference) to the nearest thousandth?
The dy for the given values of x and dx. x = 2 and dx = 0.2 dy is 0.16
The given function f(x) = ln(1 + x2) dy
In differentiation, we have a formula where f(x) is calculated:
d/dx ln=1/u.du/dx
Apply this formula for the given function:
f(x) = ln(1 + x2) dy
f'(x)= 1/x²+1*2x dx
f'(x)=2x/x²+1 dx
To calculate the dy for the given values of x and dx. x = 2 and dx = 0.2 dy
substitute these values into f'(x) we get:
f'(x)=2x/x²+1 dx
f'(x)=2(2)/2²+1 (0.2)
f'(x)=4/5(0.2)
f'(x)=0.16
To know more about differentiation:
https://brainly.com/question/23819325
#SPJ4
Jason makes 8 gallons of punch he serves 1 pint containers now he has 12 pints of punch how many pints of punch did jason serve
The pints of punch that Jason served were 52 pints.
How many pints are in a gallon?The number of pints that make up a gallon is 8 pints. So, in 8 gallons, we can expect that there will be 64 pints. Now, we are told that Jason served 1 pint container and now he has 12 points remaining, what we are to do is to subtract the remaining pints from the original pints that he had.
Since the original was 64 pints, removing 12 pints will amount to 52 pints. This means that 52 pints of punch were served in the 1-pint containers.
Learn more about gallon-to-pints here:
https://brainly.com/question/767699
#SPJ1
Evaluate the expression when x=6. X^2-9x-7
The value of the expression x² - 9x - 7 when x = 6 is -25.
What is Quadratic Equation?Quadratic equations are second degree polynomial equations which are of the form ax² + bx + c = 0, where a, b and c are real numbers and x is the variable with the highest degree of 2.
Given the quadratic expression,
x² - 9x - 7
We have to find the value of the expression when x = 6.
Substitute x = 6, we get,
6² - (9 × 6) - 7 = 36 - 54 - 7
= -25
Hence the value of the given expression when the value of x = 6 is -25.
To learn more about Quadratic Expressions, click on the link :
https://brainly.com/question/14680354
#SPJ1
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer: There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). ✅
PLEASEEEE GIVE BRANLIEST
Step-by-step explanation:
There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). One statement that could be true for g is:
g(x) = 2x + 8
This function has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45. It also satisfies the values of g(0) = -2 and g(-9) = 6.
It's important to note that this is only one possible function that satisfies the given information and there are many other functions that could also work such as:
g(x) = 3x -2
g(x) = -2x +10
g(x) = x+5
So the statement that could be true for g is that "There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9)."
*Keep in mind you didn't specify a specifc statement to verify false or true*
Unit price of 3 scarves totaling 26.25
Answer:
Step-by-step explanation:
26.25 divided by three = 8.75
Paula downloaded 16 songs at a total cost of $32.00. What is the unit rate, in dollars, for the songs?
Answer: Paula spent $2 for each song.
Step-by-step explanation: For this question, we have to find the unit rate that Paula paid per song. As we're already given the amount of songs downloaded and the total cost, all that we really have to do is divide!
Because we want to know the amount of money spent on one song, we divide the amount of money spent by the amount of songs purchased. This gives us 32/16 = 2.
Paula spent $2 (don't forget the units!) for each song. This is out unit rate. Hope this helps!
-5(2x+14)=-2(x+63) x=6
The value of the variable, x is 7
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, coefficients, variables, constants and factors.
These mathematical operations are also made up of arithmetic operations. These operations includes;
AdditionSubtractionMultiplicationFloor divisionBracketParenthesesDivisionFrom the information given, we have;
-5(2x+14)=-2(x+63)
expand the bracket
-10x -70 = -2x - 126
Now, collect like terms
-10x + 2x = -126 + 70
Add or subtract the terms
-8x = -56
Make 'x'' the subject
x = 7
Hence, the value is 7
Learn about algebraic expressions on:
https://brainly.com/question/4344214
#SPJ1
whats the answer with all the work shown?
The answer to the work shown is x = 8.
The law of indices.The law of indices are laws that has to be applied to expressions involving powers or fractions. These laws have individual application.
Considering the given question, we have;
16^(3x - 6) = 64^(x + 4)
It can be deduced that, the factors of;
16 = 4 x 4
= 4^2
and
64 = 4 x 4 x 4
= 4^3
So that;
4^2(3x - 6) = 4^3(x + 4)
Divide through by 4 to have;
2(3x - 6) = 3(x + 4)
6x - 12 = 3x + 12
collect like terms,
6x - 3x = 12 + 12
6x = 24
x = 24/6
= 8
The answer to the work shown in the question is: x = 8
Learn more about laws of indices at https://brainly.com/question/170984
#SPJ1
yvette buys sandwiches for $22from a restaurant using its online ordering system her bill includes the food purchase price as well as 8.5% sales tax she choose to add an 18%tip for delivery driver to the bill when she completes the online order.to the nearest whole percent what percent did she pay over the price of the sandwiches
To the nearest whole percent, the percentage Yvette paid over the price of the sandwiches is 27%.
How is the percentage determined?The percentage represents a proportion of a whole value.
The percentage is determined as the quotient of the difference (increase or decrease) and the initial value, multiplied by 100.
The purchase price of restaurant sandwiches = $22
Sales tax = 8.5%
= $1.87 ($22 x 8.5%)
Additional tip for delivery = 18%
= $3.96 ($22 x 18%)
Total bill = $27.83 ($22 + $1.87 + $3.96)
Difference between the total bill and the purchase price = $5.83 ($27.83 - $22)
Percent difference = 26.5% ($5.83/$22 x 100)
= 27%
Thus, Yvette paid 27% above the price of the sandwiches in form of sales tax and tips.
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
HELPPPP
Which of the following graphs represents a function?
A Th graph showing a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.
B The graph shows a parabola open to the top and touching the base at (0, 0).
C The graph shows a s- shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).
D The graph shows a parabola open to the left and touching the base at (0, 0).
The graph that represents a function is:
The graph shows a parabola open to the top and touching the base at
(0, 0).
The graph shows a parabola open to the left and touching the base at
(0, 0).
Options B and D is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many-to-one but not one-to-many.
A
The graph shows a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.
This means,
If the center of the circle is (h, k).
The coordinates of the circle are:
(5, k), (-5, k), (h, 5), and (h, -5)
(h, 5) and (h, -5) indicate one-to-many.
This is not a function.
B.
The graph shows a parabola open to the top and touching the base at
(0, 0).
The equation of the parabola is y = x².
For x = 1, y = 1
For x= -1, y = 1
This indicates many-to-one only.
This is a function.
C.
The graph shows an s-shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).
The points (0, 1), (0, -1), and (0, -3) indicate one-to-many.
This is not a function.
D
The graph shows a parabola open to the left and touching the base at
(0, 0).
The equation of the parabola is y² = 4px.
This equation is a function.
Thus,
The graph that represents a function is a parabola open to the top and a parabola open to the left.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
What is the product of 6\sqrt{8}6 8 and 3\sqrt{24}3 24 in simplest radical form?
The product of 6√8 and 3√24 in simplest radical form is 144√3
How to determine the productWe can solve this problem by using the distributive property and simplifying the radicals.
6√8 * 3√24 = (6 * 3) * √(8 * 24)
Evaluate the products
6√8 * 3√24 = 18 * √(8 * 24)
Evaluate the products of radicals
6√8 * 3√24 = 18 * √(192)
Simplify the radical
6√8 * 3√24 = 18 * 4 * √12
So, we have
6√8 * 3√24 = 72√12
Now to simplify the radical, we can divide the radicand by the greatest perfect square that is a factor of it.
So, we have
72√12 = 72 * 2 * √3
= 144√3
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
For the following function f(x)=x-3/5 Find f^-1(x)
Answer:
the having of the record is that
The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. Which of the following is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
answer choices
0.03
±
2.326
(
0.03
)
(
0.97
)
500
0.03±2.326 500
(0.03)(0.97)
0.15
±
2.326
(
0.15
)
(
0.85
)
500
0.15±2.326 500
(0.15)(0.85)
0.03
±
2.576
(
0.03
)
(
0.97
)
500
0.03±2.576 500
(0.03)(0.97)
0.15
±
2.576
(
0.15
)
(
0.85
)
500
0.15±2.576 500
(0.15)(0.85)
The confidence interval is (0.0104, 0.0496) (can include those endpoints too)
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those endpoints too)
To find the confidence interval for proportions
Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by
The standard mean error is calculated by:
Then the confidence interval limits can be found by
Using the above formula for finding the confidence interval
We have n = 500, x = 15 and
Finding the standard mean error:
From the z tables, we get z = 2.5758
Thus, the confidence interval is obtained by
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
Therefore, The confidence interval is (0.0104, 0.0496) (can include those endpoints too)
To know more about confidence interval visit:
https://brainly.com/question/16427118
#SPJ4
Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy created all the students in your math class for a week, how many meters could the truck drive?
For a combined energy of 15 students in a week, a truck will drive for 914.24 meters subjective to the number of students.
How to find the meter?To find the meters a truck will drive when the energy of a class is combined in one week;
1 day per person = 32 kilometers
One week = 7 days
Assuming a math class with 15 students for 7 days = (15 students x 7 days)
= 1/(15 x 7) x 32
= 1/35 x 32 = 0.02857 x 32 = 0.91424 kilometers
Changing 0.91424 kilometers to meter = 0.91424 x 1000 = 914.24 meters. It will take 15 students 914.24 meters truck drive in one week.
Learn more on meters and kilometers here: https://brainly.com/question/9032119
#SPJ1
help …………… me please
The value of x is 10 the answer being ten is because the smaller triangle is half the size of the bigger one.
What is a formula for a triangle?
To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formulaThe basic formula to find the area of a triangle is, area of triangle = 1/2 (b × h); where 'b' is the base and 'h' is the height of the triangle. However, there are other formulas that are used to find the area of a triangle which depend upon the type of triangle and the known dimensions.The area of a triangle is the space enclosed within the three sides of a triangle. It is calculated with the help of various formulas depending on the type of triangle and is expressed in square units like, cm2, inches2, and so on.To learn more about formula for a triangle refers to:
brainly.com/question/30104293
#SPJ1
The camp director is putting 85 sack lunches
The meaning of the situation involving the camp director and the sack lunches, is D. The number of lunches left over after packing the boxes.
What does the remainder show ?The remainder in this instance, shows the number of lunches that the camp director will not be able to fit in boxes and so will be left over after the boxes have been packed.
There are 85 sack lunches and yet only 3 lunches can go into a single box. The number of boxes would be:
= 85 / 10
= 10 boxes remainder 5 lunches
10 boxes will be filled with lunch sacks and 5 lunches will be leftover.
Find out more on remainders at https://brainly.com/question/29347810
#SPJ1
The full question is:
The camp director is putting 85 sack lunches in boxes for a picnic. She can fit 8 lunches in each box. She does the division problem shown to find out how many boxes she will need. 85 divided 8 = 10 remainder 5
What is the meaning of the remainder in this situation?
A. The number of extra boxes needed.
B. The number of extra lunches needed.
C. The number of boxes left over after packing the lunches.
D. The number of lunches left over after packing the boxes.
Which table shows a proportional relationship between x and y? Responses x 3 9 10 15 y 1 3 4 5x 3 9 10 15 y 1 3 4 5 , x 2 3 5 6 y 3 4 7 9x 2 3 5 6 y 3 4 7 9 , x 1 5 8 10 y 15 75 120 150x 1 5 8 10 y 15 75 120 150 , x 4 6 8 10 y 6 8 10 12 PLEASE I NEED HELP I NEED HELP NOW!!!!!!!!!
The table that shows a proportional relationship between x and y is:
C. x 1 5 8 10 y 15 75 120 150
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of that constant.
If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.
In this case, the constant based on the information will be:
= 15 / 1
= 15
Also when x is 5, y will be:
= 5 × 15.
= 75..
The correct option is C.
Learn more about proportional relationship on:
https://brainly.com/question/23318486
#SPJ1
HELP ME PLEASE I WILL GIVE BRAINLIEST AND 10 POINTS!! PLS EXPLAIN
DE and FG have the same slope, so both the sides are parallel. The opposite side of the quadrilateral are equal. Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.
What is a parallelogram?A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.
DE and FG have the same slope, so both the sides are parallel.
Since, DE = FG, the opposite side of the quadrilateral are equal.
Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.
Learn more about parallelogram here:
https://brainly.com/question/29147156
#SPJ1
Please Help!!
Simplify -|-7+4|
Answer: 7-4
Step-by-step explanation:
So basically multiply (-1) to -7 and 4
-7(-1)=7 4(-1)=-4
then, 7-4
is either x = 6 or x = 4 a solution to 33 - x = 27?
A: x = 6 is a solution, but x = 4 is not.
B: x = 4 is a solution, but x = 6 is not.
C: Neither are solutions
D: they are both solutions
Answer: A: x=6
Step-by-step explanation: If we plug in 6 for X in the equation we get
33 - 6. 33 - 6 does equal 27.
Now to make sure X = 4 is not an answer, we plug that in too. 33 - 4.
33 - 4 = 29, so this is not the answer.
Answer:
A: x = 6 is a solution, but x = 4 is not.
Step-by-step explanation:
33-x=27
-33 -33
-x=-6
-x/ -x/
x=6
Convert each rate using dimensional analysis 44yds/s=?mi/h
Using dimensional analysis we have converted 44 yards/sec = 90 miles/hour.
What is dimensional analysis?Dimensional analysis is the study of how dimensions and units of measurement affect the relationship between physical quantities.
Dimensional analysis is crucial because it maintains the consistency of the units, which facilitates accurate mathematical computation.
As we use conversion factors to obtain the same units, dimensional analysis is also known as the Factor Label Method or Unit Factor Method.
We know that 1 yards/sec = 2.04545 miles/hour
Here given that 44yds/s = ? miles/hour
Lets solve
1 yards/sec = 2.04545 miles/hour
44 yards/sec = 44 × 2.04545 miles/hour
44 yards/sec = 89.9998 miles/hour
44 yards/sec = 90 miles/hour
Learn more about Dimensional analysis
https://brainly.com/question/13078117
#SPJ1
The cross-section of the reflector in a flashlight is a parabola. Suppose the light bulb is located at the focus of the cross-section, 2.5 cm in front of the vertex.
Assume the vertex is at the origin and that the parabola is concave left (it opens left as depicted in the picture). What is the equation for the cross-section of the reflector?
The equation of the cross-section of the reflector which is in the form of a parabola is y² = -10x
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.
Given that, The cross-section of the reflector in a flashlight is a parabola, the light bulb is located at the focus of the cross-section, 2.5 cm in front of the vertex.
We know that, the equation of the parabola turned to the left i.e. to the negative side of the coordinate system is:
y² = -2px
where p is the parameter of the parabola
The relationship between the parameter and the focus is.
p = 2 f
p = 2×2.5 = 5 cm
Since, the equation of the parabola is:
y² = -2p
Therefore, put p = 5
y² = - 2×5x = -10x
y² = -10x
Hence, the equation is y² = -10x
Learn more about parabola, click;
https://brainly.com/question/21685473
#SPJ1
hi can someone please help with this i’m confused by the graph. helpppp
Therefore , solving the provided question, we can say that the, probability P( 24 period hour) = 5/24
What is probability?The probability that an event will occur or a claim will be true is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number from 0 and 1, in which about 0 represents how likely the event should be to occur and 1 represents certainty. A probability is a quantitative illustration of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging from 0% to 100% or from 0 to 1. the ratio of the number of outcomes to the proportion of occurrence in a whole set all equally likely options that lead to a specific occurrence.
Here,
=> E1 = stops at 5 clock
=> E2 = start at 24 hours
=> P( 24 period hour) = 5/24
=> the, probability P( 24 period hour) = 5/24
To know more about probability visit:
brainly.com/question/11234923
#SPJ1
The square below represents one whole.
What percent is represented by the shaded area?
Answer:
Step-by-step explanation:
77/100 or 0.77
Split 500m in the ratio 1:4
If 500m is split in the ratio of 1:4, then the first part would equal 125m and the second part would equal 375m.
What is the ratio ?The ratio is a comparison of two or more related values or amounts. It is expressed as a fraction or a decimal number, and is used to compare the relative size of two or more values. Ratios can be used to compare numbers, objects, people, or other elements in order to study their relative size or relationships.
If 500m is split in the ratio of 1:4, then the first part would equal 125m and the second part would equal 375m. This is because the ratio of 1:4 can be simplified to 1/5 and 1/5 of 500m is 125m. Therefore, the first part is 125m and the second part is 375m.
To learn more about ratio
https://brainly.com/question/2328454
#SPJ1
What is the domain of the function y=3^√x?
-∞AX<∞
O 0
O 0
0 1
Answer: The domain of a function is the set of all input values (x-values) for which the function produces a valid output value (y-value).
For the function y = 3^√x, the input value x can't be negative because the value under the square root should be non-negative and 3^√x is defined for all x in the domain of real numbers. This means that the domain of the function y = 3^√x is (-∞,∞).
Step-by-step explanation:
The domain of the function is [0, ∞).
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function y = 3^√x has a base of 3, which means that the output of the function is always a positive number.
For the function to be defined, the input x must also be a positive number or zero, as the square root of a negative number is not a real number.
Therefore,
The domain of the function is all non-negative real numbers, or [0, ∞).
In interval notation, the domain can be written as [0, ∞).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
What is t equal to 30+6t=11t
If 30+6t=11t then the value of t is: 6
How to solve the given equation?This is a simple algebraic equation. To solve for t, we can start by isolating t on one side of the equation.
The equation is 30 + 6t = 11t
First we can subtract 11t from both sides:
30 + 6t - 11t = 11t - 11t
This gives:
30 - 5t = 0
Next, we can add 5t to both sides:
30 - 5t + 5t = 0 + 5t
This gives:
30 = 5t
Finally, we can divide both sides by 5:
30 / 5 = 5t / 5
This gives:
t = 6
So, t is equal to 6.
To know more about algebraic equation visit:
https://brainly.com/question/24875240
#SPJ1
Solve for y, x+10i=y-yi
The value of y in the equation that we have here is given as , y = x + (10 + y)i
How to solve for yTo solve for y, we can start by isolating y on one side of the equation. We can do this by adding yi to both sides:
x+10i+yi = y-yi+yi
This simplifies to:
x+10i+yi = y
We can then rearrange the equation to get:
y = x+10i+yi
So, y = x + (10 + y)i
Read more on equations here: https://brainly.com/question/22688504
#SPJ1
Examine the straight line depreciation O I/so 1 A value 189 art mintiw graph for a car. 9m 10 Doled 1 35,000 a. At what price was the car purchased? b. After how many years does the car totally depreciate? c. Write the equation of the straight line depreciation graph shown.
a. The y-intercept of the graph is 35,000, which represents the original purchase price of the car. Therefore, the car was purchased for $35,000.
b. We can see from the graph that the car's value becomes 0 after 9 years. Therefore, the car totally depreciates after 9 years.
c. The equation of a straight line can be written as y = mx + b, where m is the slope and b is the y-intercept. The slope of the graph is the rate of depreciation, which is -4000. The y-intercept is the original price of the car, 35000.
So the equation of the straight line depreciation graph is: y = -4000x + 35000
This equation represents the value of the car, where y is the value of the car (in dollars) x is the number of years since the car was purchased and -4000 is the rate of depreciation and 35000 is the original price of the car.
1. A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work.
The person is 16. 55ft from the boat
How to determine the distanceFrom the information given, we have that;
The boat is 15ft away from the shoreline65° angle is formed between the closest point to the boatTo determine the distance between the boat and the person, let's use the trigonometric identity, sine
sine θ = opposite side/hypotenuse side
Given that;
Opposite side = 15ftHypotenuse side = dθ = 65 degreeSubstitute the value
sin 65 = 15/d
cross multiply
d = 15/sin 65
Find the value
d = 15/0.9063
divide the values
d = 16. 56 ft
Hence, the value is 16.56ft
Learn more about distance here:
https://brainly.com/question/4931057
#SPJ1