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wel
2 years ago
15

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas

ing at 3 m/ s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?
Mathematics
2 answers:
Mazyrski [523]2 years ago
3 0
I believe it would be 6 due to the radius being a half of the actual circumfrence
zimovet [89]2 years ago
3 0
The relation between perimeter and radius  is P = 2 pi r

dP/dr = 2pi

dP/dt = 3  

when r = 2   dr/dt  = dP/dt * dr/DP =  3 * 1/2pi  = 0.477  m/s
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Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

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3 years ago
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When is the product of two integers less than or equal both of the two factors?
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Answer:

Step-by-step explanation:

rewrite each equation

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