Answer:
F(-2)=-2²+3(-2)-2=4+-6×-2=4+12=16
Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
B. 5, 20, 80, 320.
Step-by-step explanation:
f(1) = 5
After the first rem, each term id 4 times the previous term, so:
f(2) = 4f(1) = 4*5 = 20.
f(3) = 4f(2) = *20 = 80
f(4) = 4(f3) = 4*80 = 320.
The volumes will be the same, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
Answer:
213 in base 4 = 124 in base 5
Step-by-step explanation:
First we convert base 4 to base 10
213 in base 4
2*42 + 1*41 + 3*40
32 + 4 + 3
39 in base 10
Now we convert base 10 to base 5
39/5
7/5 r = 4
1 r = 2
124 in base 5
Hence 213 in base 4 = 124 in base 5