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3 years ago

Which equation represents a linear function? (5 points)

Mathematics

2 answers:

lbvjy [14]3 years ago

5 0

Answer: 2 - y =3x + 1

Sedaia [141]3 years ago

4 0

Answer :

y = 3x + 1

Explanation:

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The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 2 i

Marrrta [24]

Answer:

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

Step-by-step explanation:

We have

$\texttt{Volume = }\frac{1}{3}\pi r^2h$

Taking derivative with respect to time,

$V=\frac{1}{3}\pi r^2h\\\\\frac{dV}{dt}=\frac{1}{3}\pi \frac{d}{dt}\left (r^2h \right )\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)$

Given that

r = 40 inches

h = 20 inches

$\frac{dr}{dt}=2inch/s\\\\\frac{dh}{dt}=-2inch/s$

Substituting

$\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2\times 40\times 2\times 20+40^2\times (-2)\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left (3200-3200\right)=0inch^3/s$

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

4 0

3 years ago

Select all expressions that are equivalent to 8.8.8.8.8

svetoff [14.1K]

Answer:

the first one

the third one

and the forth one

Step-by-step explanation:

they all add up to the same amount

8 0

3 years ago

$10,000 is invested at two different rates. $4,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne

Katyanochek1 [597]

The question is asking to calculate how much interest is earned at the end of the year, and base on my research and further analysis, I would say that the answer would be $455, I hope you are satisfied with my answer and feel free to ask for more if you have questions

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3 years ago

What is the value of 4(2f-3d)+2(2d+e)

garri49 [273]

Answer:

−8d+8f+5.436564

Step-by-step explanation:

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3 years ago

Type answer as integer proper fraction or mixed number

Artist 52 [7]

Answer: