Answer:
131.88
Step-by-step explanation:
Volume of cylinder: pi r^2h
D=2r=6
R=3
V=3^2x3.14x7=131.88
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:
-9
Step-by-step explanation:
find the value of i2, which is -9, find the value of i7, which is 6
Then, add them together and multiply by the number of terms in the sequence divided by 2 (6/2=3)
Answer:
1 inch = 0.3 miles
Step-by-step explanation:
We basically want to know how many miles in real life 1 inch on the map represents. We already know that 4 inches on the map corresponds to 1.2 miles in real life, but we need to find what 1 inch on the map corresponds to. Let's make a proportion:
Cross-multiply:
4x = 1.2
Divide by 4 from both sides:
x = 1.2/4 = 0.3
Thus, the scale is 1 inch = 0.3 miles.
Hope this helps!
