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3 years ago

At a conference, four speakers are evenly dividing up the time in a 45-minute session. How much time will each speaker get?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer:

11.25

Step-by-step explanation:

you will divide the total time (45 mintues) by the 4 speakers bc the question said tht each speaker will have the same time (evenly divided time)

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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

3 years ago

Lexie rolls a six-sided number cube 1200 times.

Bingel [31]

Answer:

your answer is D lexie will roll an even number roughly 400 times but not exactly 400 times

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3 years ago

Jenna has 8 pairs of jeans. Three of them are blue.Jenna bought two more pairs of jeans. If both of them are blue, what percenta

vovikov84 [41]

Answer:62.5%

Step-by-step explanation:You do 5/8 and then divide it and you will get a decimal and move the number 0.625 back to the tens which will get you 6.25%

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3 years ago

Is (1,-3) is a solution of the equation 8p-2q=14?

PSYCHO15rus [73]

Answer: YES

Step-by-step explanation:

8p - 2q = 14

8(1) - 2(-3) = 14

8 - -6 = 14

8 + 6 = 14

14 = 14

TRUE

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aleksley [76]

3 is the correct slope of the line:)

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