madison and jacob are training for a 5k. Below shows a week of their running log complete the tables

Answer:

I found thois from someone else asking this queetion so gope it helps.

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                     f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                          b - a

                                   change in function value

This is equivalent to  ---------------------------------------

                                           change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                8

              ------ = 8 units    (Section A)

                 1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

       224 units

     ----------------- = 224 units (Section B)

           1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

Answer:

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]

From the question we have

[tex]m = \frac{7 - 4}{1 - 2} = - \frac{3}{1} = - 3 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

A

its the first one

Answer:

All i have to say is be kind. Thats all.

Step-by-step explanation:

The answer is 5 11/12.

You have to add 3 1/4 AND 2 2/3.

3 1/4 + 2 2/3 =

add the whole numbers FIRST.

2 + 3 = 5

Now add the fractions

1/4 + 2/3 = 11/12.

Now add both of the numbers

5 + 11/12 = 5 11/12

Do you mean this 2(8-(-2))-8(17-12)4  - If that then the answer is -140

Answer:

Plants use capillary action to bring water up the roots and stems to the rest of the plant. Therefore, if the plant could not do this the plant would die.

Step-by-step explanation:

Answer:

X=5 2/3

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Replace x with 1, because x = 1:

(1) [(1) - 3] + 2

[1 - 3] + 2

[-2] + 2

0

Answer:16

Step-by-step explanation:

Answer:

16 hours

Step-by-step explanation:

The description that matches the inequality x < 1 is:

All the points to the left of x = 1 are part of the solution, and there is an open interval at x = 1.

The values that are less than a number a in the number line are the values to the left of a.

Hence, for the inequality x < 1, we have that:

All the points to the left of x = 1 are part of the solution

Additionally, since the inequality signal is < and not ≤ 1, x = 1 is not part of the inequality, meaning that there is an open interval at x = 1.

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Answer:

1.7,0.7,0.17,0.007 is the answer

Answer:

10 is  the constant

y = 4x + 10

Step-by-step explanation:

Y is the y- intecerpt

x is the slope.

constant is any number by itself no x no nothing since 4 is the slope and has X the constant is the y-intercept which is 10.

Answer:

K = 2.5

y = 2.5 * 4

Step-by-step explanation:

K = y/x

K = 10/4

2.5 = 10/4

K = 2.5

y = k * x

y = 2.5 * 4

Answer:

6x9 =54

54-4 =50

v =9

Answer:

v =9

Step-by-step explanation:

Answer:

D.) The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150

Step-by-step explanation:

The given information says that the total amount of lunch bought should equal $150 when both options cost $5:

[tex]5r+5t=150[/tex]

It also says that the food should feed all 20 employees:

[tex]r+t=20[/tex]

This is now a system. Solve by substitution.

Solve the second equation for r. Use inverse operations to isolate the variable by subtracting t from both sides:

[tex]r+t-t=20-t\\\\r=20-t[/tex]

Now insert this value of r into the first equation:

[tex]5(20-t)+5t=150[/tex]

Simplify the equation. Use the distributive property:

[tex]5(20)+5(-t)+5t=150\\\\100-5t+5t=150[/tex]

Cancel the terms:

[tex]100\neq 150[/tex]

100 does not equal 150, so there is no solution to the system.

:Done

Answer: 314

Step-by-step explanation: This is true because 2512 by 8 you get 314

The radius of a pool is 10 feet.

It is required to find the radius of a pool.

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. A cylinder has two bases and a curved surface. Total surface area = 2πr(r +h) square units. Curved surface area = 2πr h square units.

Given:

The given pool is in the shape of cylinder.

Volume of a pool = 2512 cubic feet

The height = 8 feet.

According to given question we have,

Volume of a pool=π[tex]r^{2} h[/tex]

2512 =π[tex]r^{2} *8[/tex]

Divide 8 on both sides we get,

[tex]r^{2}[/tex]=314/π

[tex]r=\sqrt{314/3.14} \\\\r=10 feet[/tex]

Therefore, the radius of a pool is 10 feet.

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divide.

-25/176 is -.142

Answer:

you divide -25 by 176

-25 on the inside of the "dog house" and 176 on the outside because if you did it the other way it would be a whole number.

It would equal -0.14204545454

I hope this is good enough for you:

Answer:

92/2= 46/h

46 and hour is the answer

Step-by-step explanation:

it comes to

[tex] - 7x[/tex]

Answer:

Area of whole circle, i.e. 360 degrees = π(8.91)(8.91) = 79.3881 sq. cm

Area of 1 degree = 0.2205225 sq.cm.

Area of 81 degrees = 17.8623225 sq.cm.

The area of the shaded sector is about 16.77 cm2.

We are given that;

The radius=8.91

Now,

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

To find the area of the shaded sector, we need to use the formula:

[tex]$A = \frac{\theta}{360} \times \pi r^2$[/tex]

where [tex]\theta[/tex] is the central angle in degrees, and r is the radius of the circle.

Plugging in the given values, we get:

[tex]$A = \frac{81}{360} \times \pi (8.91)^2A \approx 16.77 \text{ cm}^2$[/tex]

Therefore, by the area answer will be 16.77 cm2.

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Answer:

Step-by-step explanation:

Student 2 and student 1

Answer: 5 2/5

Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Lastly, you should end up with an answer.

Answer:

x + (x + 9) = 47

Step-by-step explanation:

This equation can be used to solve for the smaller number.

Answer:

Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.

Step-by-step explanation: