Answer:
(foh)(6) = -29
Step-by-step explanation:
(f o h)(6) is f(h(x)) when x = 6.
We have that:
f(x) = 4x - 1
h(x) = -x-1
f(h(x)) = 4(-x-1) - 1 = -4x - 4 - 1 = -4x - 5
(foh)(6) = -4(6) - 5 = -29
(foh)(6) = -29
The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.
Answer:
599/711
Step-by-step explanation:
Band Sports Debate Total
Male 105 320 7 432
Female 105 160 14 279
Total 210 480 21 711
P(female or plays sports)
We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them
P(female) + P (sports) - (female and sports)
female/total + sports/total - female sports/ total
279/711 + 480/711 - 160/711
599/711
Answer:
- The circumference of the circle in term of pi = 10π inches
- The circumference of the circle us 3.14 as pi = 31.4 inches
Step-by-step explanation:
Given
The radius of the circle = r = 5 in
We know that diameter is twice the radius.
so d = 2r = 2(5) = 10 in
<u>Finding the circumference of the circle in terms of pi</u>
Using the formula to find the circumference of the circle
C = dπ
C = 10×π
C = 10π inches
Thus, the circumference of the circle in term of pi = 10π inches
<u>Finding the circumference of the circle using π = 3.14</u>
We know that the formula to find the circumference of the circle
C = dπ
Given
π = 3.14
substituting π = 3.14 to find the circumference of the circle
C = 10×3.14
C = 31.4 inches
Thus, the circumference of the circle = 31.4 inches
2^x = 32
x = 5
Hope this helps!