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2 years ago

X| 25 | 35 | 45 | 55 |

Mathematics

1 answer:

Yanka [14]2 years ago

6 0

A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.

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If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107

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A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

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$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

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$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

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$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

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Step-by-step explanation:

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Step-by-step explanation:

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[One could also determine the equation for the line. Provided below.]

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

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