Answer:
The solution is
Step-by-step explanation:
We need to write everything as a power of 3.
We know that:
So
And
This following property is also important:
To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side
This means that:
Answer:
Given:
Radius of large sphere: R1
Volume of sphere: V1
Radius of small sphere: R2
Volume of sphere: V2
R1=2R2
We know that:
Volume of a sphere: 4/3πR^3
Volume of large sphere: 4/3πR1^3
Now we know that R1=2R2(given)
Thus volume of large sphere(V1) 32/3πR2^3.
Volume of small sphere(V2): 4/3πR2^3.
Ratio of volume of large sphere to small sphere is 8:1.
Step-by-step explanation:
Answer:
A. 1000x75t=i
B. 1000(1+5%/n)^t
Step-by-step explanation:
i=prt interest principle rate time
a=p(1+r/n)^t amount principle rate number of times interest is compound time
<em>Hope this helps.</em>
Hey there! :)
Answer:
m = 4.25, or 17/4.
Step-by-step explanation:
Given the proportion:
Cross multiply:
8(m - 3) = 5 · 2
Distribute the 8:
8m - 8(3) = 10
8m - 24 = 10
Add 24 to both sides:
8m = 34
Divide both sides by 8:
8m/8 = 34/8
m = 4.25, or 17/4.