Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = 
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,


Recursive formula of this sequence will be,
, 
Therefore, Option (B) will be the answer.
Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400

Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall: 
Therefore:



The minimum cost occurs when the derivative of the Cost =0.






r=3.17 cm
Recall that:


h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Part A
So the coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.
Part B
To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve.
1. 25 * 7.50 = $187.5.
2. 0.20 * 300 = $60
3. Add it all together: $187.50 + $60 = $247.50 + $40 = $287.50
Part C
If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.
Answer:
−3.6
7.5
1
2
6.3
18
Step-by-step explanation:
Plug it into a calculator if they are not correct.
the measurement of QP=8 CM