Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
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B. 100 minutes correct me if i’m wrong
Answer:
Step-by-step explanation:
In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions. In c and d, the bases are between 0 and 1, and thus these are decay functions.
In the second problem we have 3ln(x + 1). Rewrite this as ln(x + 1)^3.
We also have 9ln(x - 4). Rewrite this as ln(x - 4)^9.
Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form
ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).
Now we have:
ln [ (x + 1)^3 ] * (x - 4)^9 - 4ln(x + 7), or:
[ (x + 1)^3 ] * (x - 4)^9
ln ------------------------------------
(x + 7)^9
Answer:
12x^5
Step-by-step explanation:
(-2x)(-6x^4)
Multiply the numbers
-2 * -6 = 12
Multiply the variables
x* x^4 = x^5
12x^5
