Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer:
Step-by-step explanation:
Let's take a real situation. Suppose he has 1500 books in total
2/3 of them are fiction. Of means multiply.
them = 1500
2/3 * 1500 = 3000/3 = 1000
Now of the one thousand fiction books 4/5 of them are mysteries.
4/5 * 1000 = 4000/5 = 800.
Now let's see what happens when we just do this by answering the question directly.
2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.
Try this on the 1500 books.
8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333
Just to check, does 0.5333333 * 1500 = 800? Try it.
Answer and Step-by-step explanation:
The answer would be D. 82%.
All we need to do is add together the amount that can swim.
We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.
0.34 + 0.48 = 0.82.
Multiply by 100 and we get 82%.
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Answer:
40 feet
Step-by-step explanation:
Required:
Find the length of Samson's shadow
The question can be illustrated with the attached figure where Samson's shadow is represented with x.
To solve for x, we make use of the following equivalent ratios:
Convert to fraction
Cross Multiply
Make x the subject
<em>Hence, Samson's shadow is 40ft</em>
The amount save by Marcia in interest by consolidating the two balances is $133.92.
<h3>What is the total payment for APR of 16%?</h3>
The total monthly payment for APR of 16% is calculated as follows;
Total monthly payments for 16% =$39.38x48 = $1890.24
<h3>What is the total payment for APR of 12%?</h3>
Total monthly payments for 12% APR = $36.59*48 = $1756.32
<h3>Amount saved by Marcia</h3>
A = $1890.24 - $1756.32
A = $133.92
Learn more about APR here: brainly.com/question/2772156
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