2 years ago

What’s equivalent to 25^x

Mathematics

1 answer:

Leviafan [203]2 years ago

3 0

Answer:

5^2x

Step-by-step explanation:

write the number in exponential form with a base of 5

(5^2)^x

simplify the expression by multiplying exponents

5^2x

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2 years ago

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

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Answer:

The exact value of the volume is equal to

$V=19\frac{397}{512}\pi\ in^{3}$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$D=5\frac{5}{8}\ in$

convert to an improper fraction

$D=5\frac{5}{8}\ in=\frac{5*8+5}{8}=\frac{45}{8}\ in$

$r=(45/8)/2=\frac{45}{16}\ in$

$h=7\frac{1}{2}\ in=\frac{7*2+1}{2}=\frac{15}{2}\ in$

substitute in the formula of volume

$V=\frac{1}{3}\pi (\frac{45}{16}^{2})(\frac{15}{2})=\frac{30,375}{1,536}\pi\ in^{3}$

Simplify

$\frac{30,375}{1,536}=\frac{29,184}{1,536}+\frac{1,191}{1,536}=19\frac{397}{512}$

substitute

$V=19\frac{397}{512}\pi\ in^{3}$

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