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Mariana [72]
3 years ago
11

6. The expected life of a calculator varies inversely with the amount of times a student

Mathematics
1 answer:
loris [4]3 years ago
6 0

9514 1404 393

Answer:

  250 days

Step-by-step explanation:

If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.

The expected life is (8/20)(625 days) = 250 days.

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Step-by-step explanation:

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
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To form
Andreas93 [3]

Answer:

40 toothpicks

Step-by-step explanation:

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B

Step-by-step explanation:

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how much money did they start off with?

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