Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Answer:16 is the answer of your question
hope it is helpful to you
Answer:diameter of circle A is
(2r - 10) centimeters while Answer:diameter of circle B is 2r
Step-by-step explanation:
Diameter = radius/2
Circle A has a radius that is 5 centimeters less than the radius of Circle B. It means that if the radius of circle B is 5 centimeters, then the radius of circle A would be (r - 5) centimeters. Also,
The diameter of circle B would be
2 × r = 2r centimeters
Therefore, the diameter of circle A would be expressed as
2(r - 5) = (2r - 10) centimeters
Answer:
2b+4p=25.00 4b+5p=30.00
Step-by-step explanation:
