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

Answer:

B) 25

Step-by-step explanation:

√25=±5

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.

Step-by-step explanation:

i took the test it is not c

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]

Answer:

b

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

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

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:

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

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]

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).

Answer:

The domain is (-∞,∞)

Step-by-step explanation:

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

Answer:97 °

Step-by-step explanation:

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

83 + b = 180

b = 97°

Answer:

What do you need help with?

Step-by-step explanation:

What do you need help with-?

The answer would be 13.25 :)).

Answer:

5 3/4

Step-by-step explanation:

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 :)

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

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.

Answer:

(2) is a right angled triangle.

Step-by-step explanation:

8²+6²=64+36=100=10²≠12²

48²+14²=2304+196=2500=50²

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.

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

Answer:

C

Step-by-step explanation:

Answer:

-9a - 36

Step-by-step explanation:

Step-by-step explanation:

I m not sure but I think this is the answer

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

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.