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never [62]
2 years ago
12

Determine forms of exponential expressions please help

Mathematics
1 answer:
Irina-Kira [14]2 years ago
4 0

Answer:

(36^t) / (6^(t^2)) is nonequivalent

(6^(t^2)) / (36^t) is equivalent

(6^(t^2)) * 36^t is nonequivalent

Step-by-step explanation:

We can use the exponential quotient law for this problem.

a^x / a^y = a^x - y

(6^(t^2)) / (6^2t) = (6^(t^2)) / (36^t)

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A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
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Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

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Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

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Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

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