Answer:
Step-by-step explanation:
This is a good example of permutations. For the first slot on his shelf, Dylan has 7 trophies to choose from. Then 6, 5, and so on. Since he is only fitting 4 trophies on his shelf, we only continue until we have the slots filled. Thus, we have 
to do so.
*Note: We do not divide by 
because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.
We know that
[volume of the larger sphere]=[scale]³*[volume of smaller sphere]
scale=∛[volume of larger sphere/volume of smaller sphere]
scale=∛[64/27]-------> scale=4/3
the scale is equal to the<span> ratio of the length of the radio of these two spheres
so
the answer is
4/3</span>
Answer:
1 5/6 miles
Step-by-step explanation:
3 1/2 - 1 2/3 convert to improper fractions.
7/2 - 5/3 = 21/6 - 10/6 (common denominator)
21/6 - 10/6 = 11/6
11/6 as a proper fraction is 1 5/6
Answer:
a) 
b) 
Step-by-step explanation:
From the question we are told that:
Rate r=90 units per hour
Setup cost =20
Operating Cost =26
Units=40000
Generally the equation for Total cost is mathematically given by
Differentiating
Equating equ 1 to zero
Therefore
Substituting n
For Equ 1
F(n)>0
For Equ 2
F(n)'<0
