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3 years ago

Help please:((((((((((((((((

Mathematics

1 answer:

disa [49]3 years ago

4 0

Answer:

B. The amount spent on grapes compared with the weight of the purchase.

Step-by-step explanation:

Grapes are usually sold at some dollar amount per pound. That dollar amount is the "rate of change," and it is generally constant.

___

In the case of pizza delivery or bus ridership, it is hard to imagine what the "rate of change" might be, as the relationship is probably <u>not</u> a function.

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Read 2 more answers

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He ha

pashok25 [27]

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches, let's simplify that as 1000 π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{72 \pi } = 13.88$

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{200 \pi } = 5$

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

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4 years ago