1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
Answer:
C
Step-by-step explanation:
Here we have the question,
7x+4 = -19 + 5x
Now we add 19 to both sides,
7x + 4 + 19 = -19 + 19 + 5x
7x + 23 = 5x
Now we subtract 7x from both sides,
23 = -2x
We divide -2 from both sides,
x = -23/2
Now we plug this in into 2x - 14,
2(-23/2) - 14 = -23-14 = -37
Our answer is C
Area = (x+1) * (x+1)
Area = x^2 +2x + 1
Multiply $75 by 1.1 because it includes the tax and the cake. you should get $82.50.
Complete question :
A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The population would grow by 30 percent per year
how many after one year
how many after two years
Answer:
39 deers
51 deers
Step-by-step explanation:
The question can be expressed using the compounding rate formula:
A = P(1+r)^t
A = final population ; P = initial population ; rate, r = 30% = 0.3 ; t = time
After 1 year, t = 1
A = 30(1 + 0.3)^1
A = 30(1.3)^1
A = 39 deers
B.)
After 1 year, t = 2
A = 30(1 + 0.3)^2
A = 30(1.3)^2
A = 50.7
A = 51 deers approximately
