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3 years ago

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The height in feet of a rocket launched into the air is modeled by the function (t)=-16t^2+160t+300 where t is time in seconds.

Approximately how many seconds will the rocket exceed the height of 500 ft?

1 answer:

liq [111]3 years ago

7 0

approximately 1.5 seconds

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Need help with courseReplace 250 with 575 and -3 with -5.

Svetlanka [38]

Given

The demand function

$p(x)=\frac{250}{\sqrt{x}}-5$

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

$p(x)=\frac{250}{\sqrt{x}}-5$

a) The revenue function is given by,

$\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}$

b) The marginal revenue function is,

$\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}$

c) The marginal revenue when x=200 is,

$\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}$

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

$y=3.84x+c$

That implies, for y=12.68, and x=200,

$\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}$

Hence, the equation of tangent is,

$y=3.84x-755.32$

8 0

1 year ago

There are 60 slices of cheesecake in 5 cheesecakes.If There are the same number of slices in each cheesecake, how many slices ar

aniked [119]

60 slices in 5 cheesecakes. So 1 cheesecake has 12 slices. So 8 cheesecakes will have 96 slices

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3 years ago

the area of the green square is 21% greater than the area of the yellow square l. workout the ratio a:b

gogolik [260]

Answer:

11:10

Step-by-step explanation:

Let area of yellow square be x

Area of green square=x+0.21*x=1.21*x

Ration of side=(1.21x)^(1/2)/(x)^(1/2)=1.1=11/10.

Answered by Gauthmath

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3 years ago

What is standard form of the line passing through the points (2,-3) and (4,2)

S_A_V [24]

(5x/2)-y=8 Is the standard form equation <3

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3 years ago

Tyrone's parents bought 9 bags of chips for his party. At the end of the night, 7 1/6 bags have been eaten. How many bags do the

Tatiana [17]

Answer:

Hi there again!! the answer wold be 1 5/6.

Step-by-step explanation:

First subtract 9 by 7. The answer is 2. Now we have 1/6 of a bag eaten, which means there is 5/6 left. But we only have 1 bag left because 5/6 is the second bag. So the answer is 1 5/6!

Please mark me Brainliest! Thank you and have a nice day!

6 0

4 years ago

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