Answer:
k = 
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log(
)
log a = log b ⇒ a = b
Given
logk - log(k - 2) = log25, then
log (
) = log25, thus
= 25 ( multiply both sides by (k - 2)
25(k - 2) = k
25k - 50 = k ( subtract k from both sides )
24k - 50 = 0 ( add 50 to both sides )
24k = 50 ( divide both sides by 24 )
k =
= 
Answer: 138.2 ft³
Step-by-step explanation:
The area of the figure is:

Calculte the volume of the cylinder:

Where r is the radius (
) and h is the height.
Then:

Calculte the volume of the cone:

Where r is the radius (
) and h is the height.
Then:

Therefore:

5 apples for $3.95 b/e you get 5 apples for literally 3.00 dollars
Answer:
True
Step-by-step explanation:
8-2 (i+1) < 12 − 7i + 4i
<u>Left side of the inequality:</u>
8 - 2(i + 1) <em>distribute</em>
8 - 2i - 2 <em>simplify</em>
(8 - 2) - 2i
6 - 2i
<u>Right side of the inequality:</u>
12 − 7i + 4i <em>simplify</em>
12 − 3i
<u>Combine: </u>
6 - 2i < 12 − 3i
6 is less than 12
3i is less than 2i
leads to the assumption that the statement is true