Answer: 107
Step-by-step explanation:
Answer:
Step-by-step explanation:4log(5) = log(5^4) = log(625).
This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.
The property in mathematical terms is: Alog(B) = log(B^A).
So, 4log(5)= log(5^4) = log(625)
Hello!
To find the surface area of a sphere you use the equation

A is surface area
r is radius which is half the diameter
Put in the values you know

Square the number

Multiply the 4 and the 39.0625

The answer is

Hope this helps!
Separate the variables:

Separate the left side into partial fractions. We want coefficients a and b such that





So we have

Integrating both sides yields






With the initial condition y(0) = 1, we find

so that the particular solution is

It's not too hard to solve explicitly for y; notice that

Then






Answer:
34 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...
Tan = Opposite/Adjacent
tan(10°) = (height of lifeguard)/(distance from shore)
Then the distance from shore is ...
distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)
distance from shore ≈ 34 ft