Answer:
The volume of foam needed to fill the box is approximately 2926.1 cubic inches.
Step-by-step explanation:
To calculate the amount of foaming that is needed to fill the rest of the box we first need to calculate the volume of the box and the volume of the ball. Since the box is cubic it's volume is given by the formula below, while the formula for the basketball, a sphere, is also shown.
Vcube = a³
Vsphere = (4*pi*r³)/3
Where a is the side of the box and r is the radius of the box. The radius is half of the diameter. Applying the data from the problem to the expressions, we have:
Vcube = 15³ = 3375 cubic inches
Vsphere = (4*pi*(9.5/2)³)/3 = 448.921
The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
Vfoam = Vcube - Vsphere = 3375 - 448.921 = 2926.079 cubic inches
The volume of foam needed to fill the box is approximately 2926.1 cubic inches.
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 
<u>ANSWER:</u>
Kari bought 3 boxes of cookies to share. The algebraic expression is 
<u>Solution:</u>
Given, Kari bought 3 boxes of cookies to share with a book club.
Each box contains 12 cookies.
So, in total we have 3 x 12 cookies = 36 cookies.
Now, we have to find how many cookies can each person p will get.
Let, the total number of persons be x.
Then, after equally sharing the cookies,


Hence, the algebraic expression is 
Answer:
989000
Step-by-step explanation:
Divide 2,967 ÷ 0.003
B + N = 18 and 6B + 5N = 101. This is the system of equations you would use.