Density
is given by
where m is the mass of the object
V is the Volume of the object
let m1 be the mass of the smaller cube
let m2 be the mass of the larger cube
you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1
so apply this information into the density equation and you can determine the volume of the larger cube
Answer:
The multiplicative rate of change is 
Step-by-step explanation:
You are given the function
First, use the following property of exponents
So, your function is
If the exponential function is written in the form
then b is the multiplicative rate of change for this exponential function.
In your case, the multiplicative rate of change is
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.
Jupiter has greatest mass.
<span>Let x = # of rides
Plan A: 10 + 3x
Plan B: 20 + x
if x < 5 rides then plan A is better buy
if x = 5 both plans are the same
if x > 5 then plan B is the best buy
Prove:
x = 6 (rides)
plan A: </span>10 + 3x = 10 + 3(6) = 10+18 = $28
plan B: 20 + x = 20 + 6 = $26
