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
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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: There is probability that he will be asked a question in class during Week 7 is 64%.
Step-by-step explanation:
Since we have given that
Probability that question in class being asked during Week 1 = 1%
Probability that question in class being asked during Week 2 = 2%
Probability that question in class being asked during Week 3 = 4%
and so on.
So, we need to find the probability that question being asked in class during week 7.
Since it forms geometric series:
1%, 2%, 4%, ........
So, we need to find the 7 th term:

Hence, there is probability that he will be asked a question in class during Week 7 is 64%.
Answer: 15
Step-by-step explanation:
My answer is correct because, if in 22 weeks she learned 55 recipes of appetizers, the we have to divide 55 by 22. And 55 divided by 22 equals 2.5. So now since we have that and they are asking us what would it be for a total of 6 weeks then we just have to multiply 2.5 and 6. And 2.5 times 6 equals 15.
#
You can't change more than 100 percent
Answer:
y = x - 3
Step-by-step explanation: