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Mademuasel [1]
2 years ago
5

What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo

Mathematics
1 answer:
OLga [1]2 years ago
3 0

Answer:

volume: \sf 16\pi x^3y^4

given:

  • height: \sf 4xy^4
  • radius: \sf 2x

<u>cylinder volume</u>:

\hookrightarrow \sf \pi r^2h

\hookrightarrow  \sf \pi (2x)^2(4xy^4)

\hookrightarrow  \sf \pi (4x^2)(4xy^4)

\hookrightarrow  \sf 16\pi x^3y^4

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How do the signs of b and c in standard form, x^2 + bx + c, affect the signs of p and q in factored form, (x + p)(x + q)?
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Step-by-step explanation:

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3 years ago
Can a triangle be formed by 7.4 cm , 8.1 cm , 9.8 cm
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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini
Trava [24]
The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
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Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
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3 years ago
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