All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.
V = (4/3)pi(r^3)
12114.7 = (4/3)pi(r^3) Divide both sides by (4/3) and pi
2893.64 = r^3 Take the cube root of both sides
14.25 = r
So the diameter is about 28.5 cm (14.25 x 2 = 28.5)
Paralell means has same lsope
y=mx+b
m=slope
given
y=3x-5
slope=3
y=3x+b
find b
(3,1)
x=3
y=1
sub and find b
1=3(3)+b
1=9+b
minus 9 both sides
-8=b
y=3x-8 is equation
Answer:
N = 920(1+0.03)^4t
Step-by-step explanation:
According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.
Rate is 12 % annually
rate in quarterly = 12/4= 3%
We will apply the compound interest equation:
N=P( 1+r/n)^nt
N= ending number of cars serviced.
P= the number of cars serviced in 2012,
r = interest rate
n = the number of compoundings per year
t= total number of years.
Number of compoundings for t years = n*t = 4t
Initial number of cars serviced=920
The quarterly rate of growth = n=4
r = 3%
The growth rate = 1.03
Compound period multiplied by number of years = 920(1.03)^4t
Thus N = 920(1+0.03)^4t
N = number of cars serviced after t years...
Answer:
156
Step-by-step explanation:
Using PEMDAS: We do the paranthese first:
7 * 22 + (8-2) / 3.
7 * 22 + 6 / 3.
Multiply / Divide:
154 + 6 / 3
154 + 2
156
I'm pretty sure it's a 1/18 probability
