Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
They are b and c.
Step-by-step explanation:
Let's simplify each expression:
a. b+2 (b+2b)
= b + 2b + 4b = 7b.
b. 3b + b = 4b.
c. 2(2b) = 2 * 2b = 4b.
Answer:
y=4
Step-by-step explanation:
Answer:
No this is not a function.
Step-by-step explanation:
This is not a function because some of the x-values repeat, which is not how a function works. For this to be a function, each x-value would have to be different. In this case, the 4 and 5 repeat in the x-values.
If this answer is correct, please make me Brainliest!
Answer:
2x⁴ - 20x² - 78
To factor the expression look for the LCM of the numbers
LCM of the numbers is 2
Factorize that one out
That's
2( x⁴ - 10x² - 39)
Hope this helps