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3 years ago

Which inequality is shown on the accompanying graph?

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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The radius of a right circular cylinder is increasing at a rate of 9 inches per minute and the height is decreasing at a rate of

pav-90 [236]

Answer:

$\frac{dA}{dt}=1840.97 in^{2}/min$

Step-by-step explanation:

The equation of the surface of the right circular cylinder is:

$A=2\pi rh+2\pi r^{2}=2\pi(rh+r^{2})$

Now, the rate change of this area will be:

Using the change rule

$\frac{dA}{dt}=\frac{\partial A}{\partial r}\frac{\partial r}{\partial t}+\frac{\partial A}{\partial h}\frac{\partial h}{\partial t}$

Where:

$\frac{\partial h}{\partial t}$ is the rate change of height (-16 in/min)
$\frac{\partial r}{\partial t}$ is the rate change of radius (9 in/min)

$\frac{dA}{dt}=\frac{\partial A}{\partial r}9+\frac{\partial A}{\partial h}(-16)$

$\frac{dA}{dt}=2\pi(h+2r)9-2\pi r16=2\pi((h+2r)9-16r)$

Now, r = 16 and h = 29

$\frac{dA}{dt}=2\pi((29+2*16)9-16*16)$

$\frac{dA}{dt}=1840.97 in^{2}/min$

I hope it helps you!

8 0

4 years ago

Assign two variables for each problem, and write the equations. Do not solve.

NemiM [27]

Price of boots is represented as x, price of tennis shoes is represented as y. x-y=44.38 x+y=196.12 Isolate x. (Or y, if you wanted to) x=y+44.38 x=196.12-y Set them equal to each other. y+44.38=196.12-y Solve for y. Then plug it in to either of the two original equations to find x. x=120.24 y=75.86 Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.

6 0

3 years ago

If f(x)=2x^3-2, what is the value of f(2)

CaHeK987 [17]

Answer:

The answer is F(2) is equal to 15

Step-by-step explanation:

My knowledge is so powerful my brain hurts when I think.

Hope this helped

this was easy!

let me know if you want help with anything else

8 0

4 years ago

Read 2 more answers

What are the first 10 digits after the decimal point when the fraction $\frac17$ is written in base 16?

Virty [35]

Answer:

The amswer is "2,4,9....."

Step-by-step explanation:

$x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\$

by leave you to work out the other 7 digits:

$\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\$

$\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\$

$\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\$

8 0

3 years ago

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha

alexira [117]

Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
$P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} 
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}$

Probability of combined events is
$P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}$

7 0

3 years ago

Read 2 more answers