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Mathematics

1 answer:

joja [24]3 years ago

5 0

Answer:

Step-by-step explanation:

The circumference of a circle's formula is pi*d (d being diameter).

If it only shows you the radius, then the formula would be 2*pi*r (r being radius), this is the same as pi*d.

2*r = d

Question 2

The circle has a diameter of 100m. Find circumference

pi*d

pi*100

314.16m in total

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Find k and help with the equation!

anzhelika [568]

<h3>Answer: k = 6+10x</h3>

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Work Shown:

$64*4^{5x}\\\\\left(2^6\right)*\left(2^{2}\right)^{5x}\\\\\left(2^6\right)*\left(2^{2*5x}\right)\\\\\left(2^6\right)*\left(2^{10x}\right)\\\\2^{6+10x}\\\\$

The result is in the form $2^k$ with k = 6+10x

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Explanation:

First we need to get everything as an exponential expression with a base 2.

We rewrite 64 as $2^6$ and 4 as $2^2$ in the second step.

In the third step, I used the rule $(a^b)^c = a^{b*c}$ which says to multiply the exponents together. That's how I went from $(2^2)^{5x}$ to $2^{2*5x}$ . Then the 2*5x in the exponent becomes 10x.