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2 years ago

10

George earns $8 1/4 an hours. He is paid 1 1/2 times the regular rate when he works over time. How much does he make per hours w

hen he works overtime?

1 answer:

AnnyKZ [126]2 years ago

6 0

1/2 of 1/4 is 1/8 and 1/2 of 8 is 4 so 4 1/8 + 8 1/4 is 12 and 3/8 or about $12.38

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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

Which is the most accurate way to estimate 25% of 53?

Alex Ar [27]

You can calculate them out and check which one is the most accurate

so if one of the choices was 1/3 of 50, then you would do:
1/3 in the calculator (should be 0.333...) times 50

And you can compare it with the EXACT number, which is:
0.25*53=13.25

This way you can test all the options

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3 years ago

Which graph represents the function r(x) = |x -21-1

Pepsi [2]

Its the last one! Also if you dont know what I mean by this is, its the 4th one. You Welcome Merry Christmas

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2 years ago

Help me please. Find the measures of CAD and DAE

VladimirAG [237]

well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus

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2 years ago

What is the answer to -9=-7+x+2

Angelina_Jolie [31]

X=-4 cause
-2=x+2
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3 years ago

Read 2 more answers