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djyliett [7]
3 years ago
13

A giraffe runs top speed at tree that is 400'ft away. write expression representing the giraffes distance from tree after s seco

nds, if the rate is 51 ft per second
Mathematics
1 answer:
guapka [62]3 years ago
4 0
7 43/60 seconds in all
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What is the following is the solution to the equation 25^(z+2) = 125
maksim [4K]

First, rewrite the equation 25^{z+2} = 125 with the base equal to 5. Note that:

  • 25=5^2;
  • 125=5^3;
  • 25^{z+2}=(5^2)^{z+2}=5^{2\cdot (z+2)}.

Then

5^{2\cdot (z+2)}=5^3.

Since the bases are equal, you have that powers are equal too:

2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.

Answer: z=-\dfrac{1}{2}.


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Solomon has read 1/3 of his book. He finishes the book by reading the same amount each night for 5 nights. A. What fraction of t
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