Ashley makes 9 dollars for each hour of work. Write an equation to represent her total pay p after working h hours

It is influenced by the independent variables, such as the presence or absence of ammonium nitrate and the duration of light exposure.

Therefore, the correct answer is B. A dependent variable.

Here, we have,

In this experiment, the dependent variable is the variable being measured or observed as the outcome.

It is what we are interested in studying and can be influenced by the independent variables.

In the given scenario, the height of the plants is being monitored over the four weeks.

This height measurement is the outcome of the experiment and is the dependent variable.

It is influenced by the independent variables, such as the presence or absence of ammonium nitrate and the duration of light exposure.

Therefore, the correct answer is B. A dependent variable.

To learn more on experiment click:

https://brainly.com/question/16979203

#SPJ4

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

Answer: W = 15, L = 20

Step-by-step explanation:

The ratio of the length of a rectangle to its width is 4:3. It's area is 300 square inches. What are its length and width? Length = 4×5 =20 inches , width = 3×5= 15 inches.

Answer:

5% chance

Step-by-step explanation:

devide how many students the teacher will choose from the amount of students there is to choose from:

1 / 20 = 0.05

then multiply by 100 to get the amount expressed in percentage:

.05 * 100 = 5%

the result:

Jo has 5% chance of winning.

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

Find out more on sample space at https://brainly.com/question/29719992

#SPJ1

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

IT WOULD BE 2.5 IN decimal form or it would be 5/2 and it is equivalent to 2 and 1/2

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

7x5=35

Make it a ratio and 1 doesnt make a diffrence.

If a machine fills boxes at a constant rate at the end of 35 minutes, it has filled 5 boxes then 1 box is filled in 7 minutes.

A division is a process of splitting a specific amount into equal parts.

Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.

A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function.

The constant rate of change is also known as the slope.

Linear functions will have a constant rate of change.

Now, in 35 minutes machine has filled 5 boxes.

So, 1 box is filled in 35/5=7 minutes.

Hence, if a machine fills boxes at a constant rate at the end of 35 minutes, it has filled 5 boxes then 1 box is filled in 7 minutes.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ3

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

Find out more on linear equations here: https://brainly.com/question/14323743

#SPJ1

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

Step-by-step explanation:

The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.

In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:

1. Find the GCF of 24 and 72

               2   /    24      72

               2   /     12      36

               2    /      6       18

               3    /      3        9

                   /       1        3

Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which  we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24

Therefore, the GCF of 24 and 72 is 24.

2. Find the GCF of 24, 32 and 48

                   2  /   24   32    48

                  2   /    12    16   24

                   2  /     6     8     12

                        /     3     4      6

So the GCF is: 2x2x2 = 8

Therefore, the GCF of 24, 32 and 48 is 8.

3. Find the GCF of 18, 27 and 45.

                3  /  18     27     45

                3  /    6      9      15

                    /    2      3       5

So the GCF is: 3x3 = 9

Therefore, the GCF of 18, 27 and 45 is 9.

4. Find the GCF of 24 and 36.

            2   /  24      36

            2   /  12       18

            3   /   6         9

                 /   2         3

So the GCF is 2x2x3 = 12

Therefore, the GCF of 24 and 36 is 12.

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

Learn more about discounts at https://brainly.com/question/28176129.

#SPJ1

Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

the solution to the system of equations is (x, y) = (27/13, 31/26).

Why it is?

To solve the system of equations using substitution, we need to solve one of the equations for one of the variables in terms of the other variable, and then substitute that expression into the other equation. Let's solve the first equation for x in terms of y:

-2x + 6y = 6

-2x = -6y + 6

x = 3y - 3/2

Now we can substitute this expression for x into the second equation:

-7(3y - 3/2) + 8y = -5

Distribute the -7:

-21y + 21/2 + 8y = -5

Combine like terms:

-13y + 21/2 = -5

Subtract 21/2 from both sides:

-13y = -31/2

Divide both sides by -13:

y = 31/26

Now we can use this value of y to find the corresponding value of x:

x = 3y - 3/2

x = 3(31/26) - 3/2

x = 93/26 - 39/26

x = 54/26

Therefore, the solution to the system of equations is (x, y) = (27/13, 31/26).

To know more about substitution visit:

https://brainly.com/question/17357038

#SPJ1

Answer:

Step-by-step explanation it will be 23 cups

Answer:

30

Step-by-step explanation:

since the width is 20, there are 2 sides, so multiply by 2 and it's 40. Subtract 40 from 100 and you get 60. 60 is both lengths combined, so divide by 2 and you have 30 as your length. :)

Answer:

25/12 or 2 1/12

Step-by-step explanation:

Hope this help, work is in the picture :)

Answer:

r = 15

Step-by-step explanation:

Line segments DG and GM add up to DM:

r + 3 + 4r - 28 = 50

5r - 25 = 50

5r = 75

r = 15

Answer:

15

Step-by-step explanation:

Given:

Solution:

Answer:

The rate of change for a line is the slope, the rise overrun, or the change in y over the change in x. The slope can be calculated from two points in a table or from the slope triangle in a graph. The slope is the parameter m in the slope=intercept form of a line: y=mx+b.

                                            Hope This Helped!

In conclusion solution for this question is (f⋅g)(2) = −9.

How to solve and what is algebra?

a. To find the product of two functions f and g, we need to multiply them together as (f⋅g)(x) = f(x)g(x). Thus:

(f⋅g)(x) = f(x)g(x)

= (x−5)(x2−2x+3)

= x3−2x2+3x−5x2+10x−15

= x3−7x2+13x−15

Therefore, (f⋅g)(x) = x3−7x2+13x−15.

b. To find (f⋅g)(2), we substitute x=2 into the expression we found in part (a):

(f⋅g)(2) = (2)3−7(2)2+13(2)−15

= 8−28+26−15

= −9

Therefore, (f⋅g)(2) = −9.

Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating these symbols. It involves solving equations and inequalities, finding unknown variables, and analyzing and graphing mathematical functions.

To know more about algebra related questions visit:

https://brainly.com/question/24875240

#SPJ1

estimate value of :- 2.99548 is 3

estimate value of :- 1.8342 is 2

So 3•2=6

so 6 is your answer

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

Answer:

es verdad pero 3 nomas puede ser dividido por 3 o 1

Step-by-step explanation:

Answer:

don't expect people to help when you comment bs under their questions for points, mad weird

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

\(H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}\)

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

Answer:

For x < -2  f(x) < 0.

For   5 < x < 7 , f(x) < 0.

In interval notation it is:

(∞, -2) ∪ ( 5, 7).

Step-by-step explanation:

First find the critical values of x:

f(x) = (x - 5)(x + 2)(x - 7) = 0

x = 5, -2  and 7.

(x - 5)(x + 2)(x - 7) < 0

Consider x = -2:

When x < -2 the sign of the expression is - * - * - = -  

and it is 0 for x = -2

So for x < -2,  f(x) < 0.

For:

-2  < x < 5  the sign of f(x) is - * + * -  = +

So for  -2  < x < 5,  f(x) > 0

For:

5 < x < 7  the sign of f(x) is + * + * - = -

So for 5 < x < 7 , f(x) < 0.

For x > 7,   f(x) > 0.

Answer:c

Step-by-step explanation:

edu

Answer:

The rate of change is -4.5 and the relation of the table is a linear function

Step-by-step explanation:

Linear function.

A linear function can be identified because the rate of change is constant at every point of its domain.

The graph of a linear function is a straight line with a constant slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):

\(\displaystyle m=\frac{78.5-83}{3-2}=-4.5\)

Now for (7,60.5) and (14,29):

\(\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5\)

Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.