Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
x = 4
Answer:
12π
Step-by-step explanation:
The formula for arc length is given as:
Plug r = 24 and θ=π/2 in the above formula, we fi d:

Answer:
8 Hours
Step-by-step explanation:
We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Therefore it would take 8 hours.