The answer to your question is C
Answer:
or 
Step-by-step explanation:

The opposite of
is 

Convert decimal number −0.75 to fraction
.
Reduce the fraction
to lowest terms by extracting and canceling out 25.

Least common multiple of 4 and 5 is 20. Convert
and
to fractions with denominator 20.

Since
and
have the same denominator, add them by adding their numerators.

Add -15 and 8 to get -7

Convert decimal number 0.4 to fraction
. Reduce the fraction
to lowest terms by extracting and canceling out 2.

Least common multiple of 20 and 5 is 20. Convert
and
to fractions with denominator 20.

Since
and
have the same denominator, add them by adding their numerators.

Add -7 and 8 to get 1.

Least common multiple of 20 and 4 is 20. Convert
and
to fractions with denominator 20.

Since
and
have the same denominator, subtract them by subtracting their numerators.

Subtract 15 from 1 to get -14.

Reduce the fraction
to lowest terms by extracting and canceling out 2.
or 
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
The 7th term of the sequence to the nearest thousandth is 223.949
<h3>What are geometric sequences?</h3>
These are sequence that increases in an exponential form.
The formula for calculating the nth term of a geometric sequence is expressed as:
Tn = ar^n-1
Given the following parameters
a = 75
r = 1.2
n = 7
Substitute the given parameter into the formula
T7 = 75(1.2)^6
T7 = 223.949
Hence the 7th term of the sequence to the nearest thousandth is 223.949
Learn more on geometric sequence here: brainly.com/question/9300199
Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

And

So the equation becomes

Now we multiply by 4 each term on both sides, and we get

Now we subtract 29 from both sides,

And finally, we divide both sides by 4:

Learn more about equations:
brainly.com/question/11306893
brainly.com/question/10387593
#LearnwithBrainly
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>