Answer:
Step-by-step explanation:
We want to find the inverse of the function:
To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:
Solve for <em>y</em>. Subtract two from both sides:
Divide both sides by two:
And take the principal square root of both sides. Therefore:
Hello!
The parent function of the graph of sin is y = sin(x).
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
The period can be found by using the formula: 
.
Since the amplitude is 3, the graph of sin is y = 3sin(x).
Given the period 2π, we can substitute this value into the given formula, , to find B.
2π = 2π / B (multiply B to both sides)
2π · B = 2π (divide by 2π)
B = 1
Thus, the equation is y = 3sin(x). I'll post the graph as well.
We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
4.1867×216
I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
904.32
So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.
Answer:
b $3,272.43
Step-by-step explanation:
A = p(1+r/n)^nt
Where
A= future value
P= principal = $2500
r= interest rate = 6.75% = 0.0675
n = number of periods = 12
t = time = 4 years
A = p(1+r/n)^nt
= 2500(1+0.0675/12)^12*4
= 2500(1+0.005625)^48
= 2500(1.005625)^48
= 2500(1.3089737859257)
= 3272.4344648144
Approximately
A= $3272.43
He will have $3272.43 to give as down payment in 4 years
Answer:k=4.5
Step-by-step explanation:4.5/1.5=3
