integral from 0 to 1 of f(t) dt = 28, find integral from -1.5 to -1 of f(3 + 2t) dt.

i set u = 3 + 2t and therefore du = 2 dt, then ended up with 1/2 * the integral from -1.5 to -1 of f(u) du.

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We must remember the formulas for volume for these different shapes.

Volume of a hemisphere = r³

V = 8³

V = 512

V = 1071.787

Volume of a cylinder = r²h

V = 8² × 40

V = 8042.477

Volume of Silo = 1071.787 + 8042.477 = 9114.264 feet³

Volume of Rectangle = l × w × h

V = 8 × 5 × 4

V = 160 feet³

Truckloads that can fit into silo = 9114.264 ÷ 160 = 56.964 truckloads.

You can round off to whatever you need to.

We must remember the formulas for volume for these different shapes.

Volume of a hemisphere = r³

V = 8³

V = 512

V = 1071.787

Volume of a cylinder = r²h

V = 8² × 40

V = 8042.477

Volume of Silo = 1071.787 + 8042.477 = 9114.264 feet³

Volume of Rectangle = l × w × h

V = 8 × 5 × 4

V = 160 feet³

Truckloads that can fit into silo = 9114.264 ÷ 160 = 56.964 truckloads.

You can round off to whatever you need to.

2/5 is the same as 4/10 if you multiply top and bottom by 2

The mixed number 1&3/10 converts to the improper fraction 13/10. You use this formula to convert

a & b/c = (a*c+b)/c

So that means -1&3/10 turns into -13/10.

Now add the fraction -13/10 to 4/10 to get -13/10+4/10 = (-13+4)/10 = -9/10

So the answer as a fraction is -9/10

Note how -4/5 = -8/10 = -0.8 and -9/10 = -0.9

This means that the fraction -9/10 is exactly at the midpoint between the tickmarks "-1" and "-4/5" on the number line.

Check out the image attachment below to see the location of the answer on the number line.

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