Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package.

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: 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.

Learn more details about cylinder here:

https://brainly.com/question/16134180

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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:

Telescopes have several curved lenses inside that reflect on mirrors that gather light.  

Step-by-step explanation:

You can find more information on NASA as well. They have very interesting explanations and photos there. :)

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:

-2.797

Step-by-sep explanation:

The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]

n = 25

Since sample size, n, = 25,

Degree of freedom = n - 1 = 25 - 1 = 24

The value of t for the t distribution, that is the t critical value, would be:

[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]

The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797

The t critical value of the left tail would be critical value is -2.797.

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

Answer:

i'm not that sure what you mean but here's what i think your aksing..

Step-by-step explanation:

5 is for basketball and 4 is for baseball

Answer:

hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.

Answer:

X=5 2/3

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

x + (x + 9) = 47

Step-by-step explanation:

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

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

Answer:

M = 1

Step-by-step explanation:

Step-by-step explanation:

it comes to

[tex] - 7x[/tex]

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:

X = 65*

Step-by-step explanation:

Each triangle's angles equal 180*. So the equation you would type to find X is

180 - 65 - 50 = X

X = 65

Answer:

x=0.4012

Step-by-step explanation:

162X - 1 = 64

162x = 64 +1

162x= 65

x=65/162

x=0.4012

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:

23 degrees

Step-by-step explanation:

157+b=180

Answer:

30,60,90

Step-by-step explanation:

triangle are in the ratio 1:2:3.​

So

Angles=X,2x,3x

X+2x+3x=180

6x=180

X=180/6

X=30

So angles are 30,60,90

Answer: Each student need to pay  $ 17.55 to go on the field trip.

Step-by-step explanation:

As per given, Total students = 25+24 = 49

Program cost per student = $10

Bus cost = $235.20

Charge per student =$2.75

Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost

Total cost of trip =  $ [( 10 +2.75)(49) + 235.20]

= $[12.75(49)+235.20]

= $ [624.75+235.20]

= $ 859.95

Each student have to pay = (Total cost of trip ) ÷ (Total students)

= (859.95 ) ÷ 49

= $ 17.55 [approx.]

Hence,  Each student need to pay  $17.55 to go on the field trip.

Answer:

m<11=5.75

Step-by-step explanation:

since you already know what m<4 is

we just have to divide the result (63) by 4

63%4=15.75

therefore m<1= 15.75

Answer:

8 jars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Student 2 and student 1

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

The integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Given that,

So, the integer that explained the depth of the hole after 15 minutes is

[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]

Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Learn more about the integer here: brainly.com/question/14232618

Answer:16

Step-by-step explanation:

Answer:

16 hours

Step-by-step explanation: