A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.

The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.

The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.

These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.

Which choice shows how to combine h and d to build f

A Basketball Is Thrown Upward From A Height Of 6 Feet At An Initial Speed Of 15 Feet Per Second. As The

Answers

Answer 1

Answer: f(t)=h(t)+d(t)

f(t)=-16t^2+15t+6

Step-by-step explanation:

I just got this question right


Related Questions

In Phoenix, Arizona, the average temperature is 85 degrees Fahrenheit or higher during 25% of the year. During about how many weeks of the year is the average temperature below 85 degrees Fahrenheit?

Answers

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is [tex]85^{\circ}F[/tex] or higher

A year has 52 weeks

It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]

So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]

No of weeks can be determined by

[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]

WORTH 24 POINTS PLEASE HELP

Answers

Answer:

What do you need help with?

Step-by-step explanation:

What do you need help with-?

add all these numbers together im too lazy to

Answers

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

Some of answers use 3,14 as a substitute for pi.
Some use the symbol for pi. which type of answers
more accurate? The more accurate value is
is

Answers

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

The product of 3 and a number is at most nine

Answers

9y is the answer I believe

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Which measurement is closest to the area of the circle in square meters?

Answers

Answer is C 113 here is an explanation

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Answers

Answer:

C

Step-by-step explanation:

The area of a circle is 647 cm2. What is the circumference, in centimeters? Express
your answer in terms of pi.

Answers

Answer:

Hello! To find the answer you have to use the formula C=2 square x pie x the area. So the answer would be C= 90.17

Step-by-step explanation:

At the beginning of the week, a puppy weighed 5 1/4 pound. During the week the puppy gained another 8 pounds.

how much does the puppy weigh, in pounds, at the end of the week​

Answers

The answer would be 13.25 :)).

Answer:

5 3/4

Step-by-step explanation:

This equilateral triangle has side lengths of 6 inches and a height of approximately 5 inches. Find the area, given these dimensions.​

Answers

To find the area of a triangle we use this equation:

[tex]\frac{1}{2} bh\\[/tex]

b= base

h= height

So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:

[tex]\frac{(6)(5)}{2}[/tex]= 15

So the are is 15 inches sqaured, hope this helps :)

What are the next three terms in the sequence 11, 18, 25, 32, ...? 39, 46, 53 43, 50, 57 37, 44, 51 41, 48, 55

Answers

Answer:

39...........

Step-by-step explanation:

plz mark me as brainest answer

Answer:

39

Step-by-step explanation:

the sequence increases by seven every time so 32+7 =39

The length of a rectangle is 1 meter less than twice its width. The perimeter of the rectangle is 40 meters. What are the dimensions of the rectangle?

Answers

So 1 is blank and two is 40 so DO IT URSELF STOP BEING LAZYYY

What is the value of the expression {(23+7^2)}{2^{2}}

Answers

I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's

Answer:

288

Step-by-step explanation:

{(23 + 7^2)(2^2)

{(23+49)(4)}

(23 x 4) + (49 x 4)

92 + 196

288

Remove the brackets using the distributive law for the following: -9(a + 4)

Answers

Answer:

-9a - 36

Step-by-step explanation:

Step-by-step explanation:

I m not sure but I think this is the answer

HALP! please i have every other question answered but this one-

Answers

Answer:

where  is the link for the image or the picture of it because I can not see it.

Step-by-step explanation:

What is the domain of this function?
y = 2x - 2

Answers

Answer:

The domain is (-∞,∞)

Step-by-step explanation:

Since there's no limit to this function, the values are infinity.

40% of the flowers in a garden are red. If 70
flowers are growing in the garden, how many
red flowers are growing?

Answers

Answer:

40% of 70 = red flower hence red flower are 28

Answer:

So there are 28 red flowers are growing

Step-by-step explanation:

=40/100 ×70

= 28

Plz mark me as Brainest answer

Determine if the following lengths could make a right triangle. (Your answer will be yes or
no.)
1) 8 cm, 12 cm, and 6 cm
I
2) 50 in., 48 in., and 14 in.

Answers

Answer:

(2) is a right angled triangle.

Step-by-step explanation:

8²+6²=64+36=100=10²≠12²

48²+14²=2304+196=2500=50²

Which of the following numbers is a perfect square?
A. 10
B. 25
C. 3
D. 2​

Answers

Answer:

B) 25

Step-by-step explanation:

√25=±5

SOS!!! I NEED HELP ASAP!!! PLS PLS PLS PLS PLSSSSSS TYSM TO THOSE WHO HELP ME (I will crown you.) Luv yall

Answers

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho


I have found the area but I'm not sure how to find the perimeter.

Answers

Answer:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Which of the following does NOT represent a function?
a. y=2
b. y=-x
c. x=5
d. y=x to the power of 2

Answers

Answer:

c

Step-by-step explanation:

because a function has no repeating x values. and 5 repeats

C, it becomes an undefined line

George and James each have a collection of nickels. The value of the nickels George has is $0.10 more than the value of the nickels James has. If the value of the nickels James has is $0.75, how many nickels does George have?

Answers

George has 17 nickels

HELP QUICK PLS :’( What is the equation of the line that goes through (2, 2) and is perpendicular
to y = 5x + 3?

Answers

Answer:

b

Step-by-step explanation:

B............


explanation:

find the measure of angle b (imagine below)

Answers

Answer:97 °

Step-by-step explanation:

83° & b° are a supplementary angle, meaning that they equal 180°. So:

83 + b = 180

b = 97°

Read the excerpt from "Pilgrim at Tinker Creek The sharks disappeared as each wave rolled toward me then a new wave would swell above i scorpions in amber, sharks that roiled and heaved. Which answer best describes how the word roiled affects this excerpt? It demonstrates that the sharks are wiggling playfully in the water lt illustrates that the sharks are swaying gently. lt suggests that the sharks are moving violently. lt shows that the sharks are swimming in unison.​

Answers

Answer:

Read the excerpt from "Pilgrim at Tinker Creek."

The sharks disappeared as each wave rolled toward me; then a new wave would swell above the horizon, containing in it, like scorpions in amber, sharks that roiled and heaved.

Which answer best describes how the word roiled affects this excerpt?

It shows that the sharks are swimming in unison.

It demonstrates that the sharks are wiggling playfully in the water.

It illustrates that the sharks are swaying gently.

It suggests that the sharks are moving violently.

Step-by-step explanation:

i took the test it is not c

"all points equal in distance from a fixed point called the center" is part of the definition for what 2d shape?

Answers

Answer:

Are you in Mr. Burg...'s class?  I have no clue what the answer is though.

Step-by-step explanation:

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval (0,3)

Answers

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex](a,b) = (0,3)[/tex]

i.e.

[tex]a = 0\\b=3[/tex]

For f(x)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]

[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]

So:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{2 - 16}{3}[/tex]

[tex]Rate = -\frac{14}{3}[/tex]

For g(x)

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]

From the table of g(x)

[tex]g(3) = 1[/tex]

[tex]g(1) = 27[/tex]

So:

[tex]Rate = \frac{1 - 27}{3}[/tex]

[tex]Rate = -\frac{26}{3}[/tex]

For h(x)

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]

From the graph of h(x)

[tex]h(3) = -3[/tex]

[tex]h(0) = 4[/tex]

So:

[tex]Rate = \frac{-3 - 4}{3}[/tex]

[tex]Rate = -\frac{7}{3}[/tex]

So, the calculated rates of change are:

[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]

[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]

[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

Answer: IN THIS ORDER!!   g(x), f(x), h(x).

The number of carbon atoms in a fossil is given by the function [tex]y = 5100(0.95)^{x}[/tex], where x represents the number of years since being discovered. What is the percent of change per year? Explain how you arrived at your answer.

Answers

Answer:

[tex]\%x=5\%[/tex]

Step-by-step explanation:

From the question we are told that:

Carbon atoms in fossil function

[tex]y=5100(0.95)^x[/tex]

 

Generally the equation a 2 year change is mathematically given by

For[tex]x=1[/tex]

[tex]y_1=5100(0.95)^1\\y_1=4845[/tex]

For [tex]x=2[/tex]

[tex]y_2=5100(0.95)^2\\y_2=4602.75[/tex]

Generally the equation percentage year changes [tex]\%x[/tex] is mathematically given by

[tex]\%x=\frac{y_1-y_2}{y_1} *100[/tex]

[tex]\%x=\frac{4845-4602.75}{4845} *100[/tex]

[tex]\%x=5\%[/tex]

Therefore  the percent of change per year is

[tex]\%x=5\%[/tex]

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