Answer:
x=1
Step-by-step explanation:
3^ (3x+1) = 81
Rewrite 81 as a power of 3
3^4
3^ (3x+1) = 3^4
Since the bases are the same, the powers are the same
3x+1 =4
Subtract 1 from each side
3x+1-1 =4-1
3x=3
Divide by 3
3x/3 = 3/3
x =1
Answer:
Using the formula of 4/3pir^3, the answer is
Step-by-step explanation:
1) Divide the diameter by 2
2) Plug into your formula
3) cube root it
4) multiple 4
5) Divide the answer by 3
6) use a calculator to multiple the answer with pi
Answer:
Any equation of the form
y = kx + b,
with b different from zero
Step-by-step explanation:
For example
y = 5*x +3
cannot be written in the form
y = k*x, because there is a term that shifts the graph upwards.
Answer:
1.25 seconds
Step-by-step explanation:
Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.
At the maximum:
8π/5 t = 0
t = 0
At the minimum:
8π/5 t = π
t = 5/8
t = 0.625
The time from maximum to minimum is 0.625 seconds. Therefore, the time from minimum back to maximum is also 0.625 seconds. So the total time is:
0.625 + 0.625 = 1.25
I think you doubled them
ratio of dogs to cats=3:2
30 animals total
3+2=5 units
30=5unit
divide by 5
6=1unit
dogs=3 unit
6=1unit
times 3
18=3unit=dogs
18 dogs