<h3>Answer: Check out the screenshots below.</h3>
=========================================
Explanations:
Part 1
For the first box, we use the log rule that log(A)+log(B) = log(A*B)
Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.
The third box then factors and uses the zero product property.
----------------------------
Part 2
We check each solution generated in part 1.
Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.
In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.
----------------------------
Part 3
There's not much to explain here that isn't already done so on the screenshot below.
Answer:
2. D
3. B
Step-by-step explanation:
Answer: $22.12
Step-by-step explanation:
I just did the compound interest formula which is
starting amount * (1. interst rate) ^ number of years
example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;
100 * (1.10) ^20 = 672.74$
but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;
I know the answer is right because I asked my teacher and it's correct.
REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$
Answer:
Tim needs to finish 59/90
Step-by-step explanation:
Add together what Evan Claire and Jaya ran
9/10 + 7/9+ 2/3
The common denominator is 90
9/10 (9/9) +7/9 *10/10 + 2/3 *30/30
81/90 + 70/90 + 60/90
211/90
We need 3 km = 3 *90/90 = 270 /90
270/90 - 211/90 = 59/90
Answer:

Step-by-step explanation:
First, we calculate the unknown angle of the left triangle and right triangle:
Unknown angle for left triangle⬆️

Unknown angle for right triangle⬆️
Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

The angle 65° and angle of x are vertical angle.(both are equal)
So... <u>x= 65°</u>
<em>hope it </em><em>helps </em><em>:</em><em>)</em>