3 years ago

ASAP

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

1oc IS ur answer

Step-by-step explanation:

i think

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Advocard [28]

Answer:

Volume increasing rate = $62831.85 mm^3/s$

Explanation:

We rate of change of radius of sphere, $\frac{dr}{dt} =2mm/s$

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = $\frac{4}{3} \pi r^3$

Rate of change of volume = $\frac{dV}{dt}$

$\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}$

Substituting known values

$\frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s$

Volume increasing rate = $62831.85 mm^3/s$

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3 years ago

And ice cream factory makes 120 quarts of ice cream in 10 hours. How many quarts could be made in 12 hours? What was that rate p

nekit [7.7K]

My answer is 144 quarts are made in 12 hours.

I first found out how many quarts are made in 1 hour.
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12 quarts are made per hour.
So apply this to 12 hours.
12 times 12 = 144 quarts.

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3 years ago

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Simplify the expression 4(x+y) + 3y

Anuta_ua [19.1K]

Answer:

4x + 7y

Step-by-step explanation:

4(x+y) + 3y

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add like terms

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3 years ago

Please help i don't know how to do this

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Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

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