Answer:
E1 and E2 are not mutually exclusive events. They have outcomes in common because a winning number can be both red and odd.
Step-by-step explanation:
EDMENTUM
Answer:
b
Step-by-step explanation:
texas industries probably most affected most by agriculture
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
Answer:
(f o g)(x) = 4x⁴ - 96x + 37
(g o f)(x) = 16x⁴ + 8x² - 2
Step-by-step explanation:
Since, the given functions are,
f(x) = 4x² + 1
g(x) = x² - 3
(f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
= 4(x⁴ - 24x + 9) + 1
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(g o f)(x) = g[f(x)]
= (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
= 16x⁴ + 8x² - 2
Therefore, out of the given options only two expressions are correct.
