We are asked to perform the long division on the following expression.
Let us perform the long division.
So, we have
Quotient: q(x) = 19x^2 - 24x + 30
Remainder: r(x) = -32
Divisor: b(x) = x + 1
Therefore, the equivalent expression is
The 3rd option is the correct answer.
Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
Answer: Option a.
Step-by-step explanation:
By definition, a functioon is even when:
And it is odd when:
Therefore, you can verify if the function is even substituting -x into the function:
Then:
It is an even function.
First term a1 = 6+5 = 11
second term = 12+5 = 17
common difference = 6
Sum of n terms:-
Sn = (n/2) [ 2a1 + d(n - 1)]
Sum of 30 terms:-
S30 = (30/2)[ 2*11 + 6(30-1)]
= 15 * ( 22 + 174)
= 15 * 196
= 2940 Answer
