Answer:
Catherine is not correct (see the explanation)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The formula to calculate the slope between two points is equal to

the two points from the graph are
(4,40) and (7,70)
substitute the values in the formula

therefore
Catherine is not correct
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
Divide the figure into known figures like rectangle and semi-circle
Calculate the area of the whole figure by adding the area of the separate figures
I think starting from the top it would go as follows
9/36, 27/36, 32/36 , 4/36
b.) 9/36
c.) I really don't remember how to do the "order doesn't matter" thing anymore, so idk. my best idea is for you to look up the formulas for permutation and combinations. I know it has to do with that