Given that 72=12^x, evaluate 12^(2x)

Mathematics

1 answer:

baherus [9]3 years ago

3 0

Answer:

x=ln(72)/ln(12) or x=1.721

Step-by-step explanation:

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find the least common denominator of the following rational expression 1/x-5 , x+3/x^2-10x+25, 7x/x^2-25

I am Lyosha [343]

Hello there!
Find the last common denominator of the following rational expression 1/x-5 , x+3/x^2-10x+25, 7x/x^2-25

Find the LCD.
$x^{2} (x-5)(x+5)$

Answer: $x^{2} (x-5)(x+5)$

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3 years ago

If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these

Vikki [24]

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

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d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

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3 years ago

Between which two numbers will you find|-2.56|

Vadim26 [7]

Answer:

2 and 3

Step-by-step explanation:

|-2.56| = 2.56

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3 years ago

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