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4 years ago

Which expressions describe the end behavior of the graph.

Mathematics

1 answer:

Savatey [412]4 years ago

3 0

As x increases,f(x) approaches the line y=-2

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V=4/3? r^2 Suppose that, for the sphere in the video, instead of being told how fast the radius is changing, we're told that the

grigory [225]

Answer:

$\frac{dr}{dt}=0.01$ cm per second

$\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3$

Volume of sphere is increasing at a constant rate

$\frac{dV}{dt}=4$ cubic centimeters per second

We have to find the rate of radius at which increasing

when r= 10 cm

Differentiating w.r.t time

$\frac{dV}{dt}=\frac{4}{3}\pi\cdot3r^2\frac{dr}{dt}$

$4=4 r^2\frac{dr}{dt}$

$\frac{dr}{dt}= \frac{1}{r^2}=\frac}{1}{(10)^2}=0.01$ cm per second

Now ,we are given that surface area of sphere

$S=4\pir^2$

Differentiate w.r.t time then we get

$\frac{dS}[dt}=8\pir\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi\times 20\times 2$

$\frac{dS}{dt}=320$ cm per second

5 0

3 years ago

A certain shade of orange requires a 3 to 2 ratio of yellow paint to red paint. If you have 6 gallons of red paint, many gallons

Studentka2010 [4]

I believe that the answer is 9

4 0

3 years ago

Read 2 more answers

Can someone help me solve this question

Norma-Jean [14]

Answer:

Step-by-step explanation:

Choosing a white pen from box a

8 0

3 years ago

Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert

Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Beverages:

3 from a set of 15. So

$B = C_{15,3} = \frac{15!}{3!12!} = 455$

Appetizers:

3 from a set of 10. So

$A = C_{10,3} = \frac{10!}{3!7!} = 120$

Desserts:

3 from a set of 13. So

$D = C_{13,3} = \frac{13!}{3!10!} = 286$

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

$T = B*A*D = 455*120*286 = 15,615,600$

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0

4 years ago

Find the length x and y please

Artemon [7]

Answer:

Step-by-step explanation:

To find the x-intercept using the straight-line equation, substitute y=0 and solve for x. To find the y-intercept, substitute x=0 and solve for y.

7 0

2 years ago

Which expressions describe the end behavior of the graph.​

Which expressions describe the end behavior of the graph.