Answer:
10 cm³
Step-by-step explanation:
Volume of a cube = (Side)³
Volume of bigger cube = (12)³
(12)³ = 1728 cm³
Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728
(x)³ = 1728 - (6)³ - (8)³
(x)³ = 1000
x = ∛1000
x = 10 cm³
Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [a, b ] is

Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = -
+ 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change =
=
= - 15 → A
Answer:your answer is B
Step-by-step explanation:
Answer:
a) 4⁻³ = 1/64 = 0.015625
b)13⁻² = 1/169 = 0.0059171598
c)(-3)⁻² = 1/-3² = 0.1111111111
Step-by-step explanation:
To solve the question above, when we have an integer ( positive or negative) that is raised to a negative power, this means the reciprocal of that integer raised to the positive power
Example:
a⁻ⁿ = 1/aⁿ
a) 4⁻³ = 1/4³
= 1/(4 × 4 × 4)
= 1/64
= 0.015625
b) 13⁻² = 1/13²
= 1/(13 × 13)
= 1/169
= 0.0059171598
c)(-3)⁻² = 1/-3²
= 1/(-3 × -3)
= 1/9
= 0.1111111111