Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C. 
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:

THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.
Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The<em> rule of three</em> is:
8 feet - 10 feet
40 feet - h feet
Applying cross multiplication:
8h = 10 x 40
Simplifying by 8:
h = 10 x 5 = 50 feet.
More can be learned about proportions at brainly.com/question/24372153
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F(x)=25x+100To find the second month substitute x with 2. f(2)=25(2)+100month 2= $150 Do the same for month ten but substitute x with 10 this time.f(10)=25(10)+100month 10= 350 The average rate of change is $25.
Answer:
8 celcius
Step-by-step explanation:
The slope is -8 so it is decreasing by 8
Given:
The given inverse trigonometric term is:

To find:
The value given inverse trigonometric term.
Solution:
We have,

Using the calculator, we get


The value of given term is 31.1°.
Therefore, the correct option is B.