Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
Answer :
x = - 12 for y = - 4
Step-by-step explanation:
Given as y = - 6 when x = - 14
write in equation form
I.e y = x + c
Put x and y values ,
So, c = y - x
c = - 6 + 14 = 8
Now when y = - 4 and c = 8 ,
So, from eq x = y - c
∴ x = - 4 - 8 = - 12 Answer
Answer:
3.2
Step-by-step explanation:
12 4/5 times 1/4= 3 1/5 or 3.2
Answer: 3
Step-by-step explanation:
Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.
Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:
Ratio of chile peepers to tomato= 1;3
Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.
For 1 chile peeper, there'll be 3 tomatoes.
For 3 chile pepper, thee will be 9 tomatoes.
