Answer: Third Option

Step-by-step explanation:
We have the following exponential equation

We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation

Simplifying we get the following:

To simplify the expression
we apply the base change property

This means that:

Then:



Answer:
should be 21
Step-by-step explanation:
The answer to the proportion is t=52.5
Answer:
x ≈ 7.2
Step-by-step explanation:
Given a tangent- secant from an external point to the circle, then
the the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 4(4 + 9) = 4 × 13 = 52 ( take the square root of both sides )
x =
≈ 7.2 ( to the nearest tenth )
Answer:
30 parts
Step-by-step explanation:
We are given that machine produces 100 parts twice as fast as machine B does.
Machine produces 100 parts in 40 minutes.
We have to find number of parts produces by machine A in 6 minutes.
According to question
Machine A takes time to produce 100 parts =
Machine A and machine B produces parts at constant rate.
Machine A produces parts at the rate=
In one minute,Machine A produces =5 parts
In 6 minutes , machine B produces =
parts
Hence, machine A produce parts in 6 minutes=30