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KatRina [158]
2 years ago
14

A standard roll of toilet paper is 304 feet long. If Bob walks at a steady rate of five feet per second, how much time does it t

ake him to walk the length of the roll. Convert your answer to minutes.
Mathematics
1 answer:
PtichkaEL [24]2 years ago
6 0

Answer:

1.01 minutes

Step-by-step explanation:

The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.

Velocity is defined as the rate of change of displacement over time t:

v=d/t\\

The function can be expressed to make t the subject to calculate time taken by Bob;

v=d/t\\\therefore t=d/v, d=304, v=5\\\\t=\frac{304}{5}\times \frac{1}{60}\ min\\\\t=1.01 \ min

Hence, it takes Bob 1.01 minutes to walk the length of the roll.

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Where does the normal line to the paraboloid z = x2 + y2 at the point (1, 1, 2) intersect the paraboloid a second time?
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the intersection point is ( -5/4, -5/4, -9/8)

Step-by-step explanation:

F(x,y,z) = x² +y² -z= 0

Then find differential of each terms then we have

∀f(x)=2x

∀f(y)=2y

∀f(z)=-1

The partial differential which is the director vector is at F(x,y,z)= (1,1,2)

Vf(1,1,2) = (2,2,-1)

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Therefore, the intersection point is ( -5/4, -5/4, -9/8)

4 0
3 years ago
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