Answer:
D. 119
Step-by-step explanation:
To find the common difference, we take the second term and subtract the first term
2-(-7) = 9
We check by taking the third term and subtracting the second
11-2 = 9
The common difference is 9
The formula for an arithmetic sequence is
an = a1 +d(n-1)
where a1 is the first term, d is the common difference and n is the number of the term in the sequence
a1=-7, d=9 and we are looking for the 15th term so n=15
a15 = -7 +9(15-1)
a15 = -7+9(14)
=-7 +126
= 119
Answer: this is the answer
( {x}^{3} ) {}^{ - 5} = {x}^{ - 15}
Step-by-step explanation:
To solve for the other leg, you need to use Pythagorean theory.
The theory states that C^2 = A^2 + B^2
In your case, you have to solve for B.
C = 40 (hypotenuse) A = 24 (leg 1)
The formula rewritten for B is

Now, you can solve.

Therefore, B = 32.
So the second leg is 32 feet.
Y>0 because raising a number to a negative power doesn't make it negative
"the difference of a number x and 4": x - 4
"is": =
"3": 3
Combine the terms so that it looks like the sentence numerically:
"the difference of a number x and 4 is 3": x - 3 = 4
x - 3 = 4 is your answer.
To solve for x:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.
x - 3 = 4
x -3 (-3) = 4 (-3)
x = 4 - 3
x = 1
1 is your answer for x.
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