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Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer: D.
Step-by-step explanation:
1. You have the following expression given in the problem above:
÷5
2. By definition, two expression are equivalent when they are the same even though they they are written in a different form.
3. Keeping this on mind, you can rewrite the division of those two numbers as a fraction, as you can see below:
3. Then, is the equivalent expression to 4h ÷ 5.
Answer:
The computer can perform 1051050 calculations in 10 seconds.
Step-by-step explanation:
1. Put the quantity of calculations the computer can perform in 1 second:
2. Multiply the quantity of calculations by 10 seconds:
Note that the units of seconds are cancelled as they appear on the numerator and the denominator, and the final response unit is given in calculations number.
The computer can perform 1051050 calculations in 10 seconds.