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Yuliya22 [10]
2 years ago
7

What is the volume and surface area

Mathematics
1 answer:
Maurinko [17]2 years ago
3 0
The volume is 32 and the surface area is 40
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When using the indirect method, which of the following would be included in the net cash flows from operating activities section
Blizzard [7]
When using the indirect method, Payment of interest and expenses would be included in the net cash flows from operating activities section of a cash flow statement.

Answer: C) or the third option.
4 0
3 years ago
Let P and Q be polynomials with positive coefficients. Consider the limit below. lim x→[infinity] P(x) Q(x) (a) Find the limit i
jenyasd209 [6]

Answer:

If the limit that you want to find is \lim_{x\to \infty}\dfrac{P(x)}{Q(x)} then you can use the following proof.

Step-by-step explanation:

Let P(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0} and Q(x)=b_{m}x^{m}+b_{m-1}x^{n-1}+\cdots+b_{1}x+b_{0} be the given polinomials. Then

\dfrac{P(x)}{Q(x)}=\dfrac{x^{n}(a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n})}{x^{m}(b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m})}=x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}

Observe that

\lim_{x\to \infty}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\dfrac{a_{n}}{b_{m}}

and

\lim_{x\to \infty} x^{n-m}=\begin{cases}0& \text{if}\,\, nm\end{cases}

Then

\lim_{x\to \infty}=\lim_{x\to \infty}x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\begin{cases}0 & \text{if}\,\, nm \end{cases}

3 0
3 years ago
A car rental agency charges ​$33 per day to rent a car and ​$11.95 per day for a global positioning system​ (GPS). Customers are
harkovskaia [24]

(a) b = (33+11.95)d + 55.5

(b) The bill for a 5 day rental is $280.25

Step-by-step explanation:

Given,

Rent of car per day = $33

Rent of GPS per day = $11.95

Cost of gas = $3.70 per gallon

Cost of 15 gallons = 3.70*15 = $55.5 per tank

a) Write a function rule for the total bill b as a function of the days d the car is rented.

Let,

d be the number of days.

Total bill = (Rent of car per day + Rent of GPS per day )* Number of days + Cost of tank

b = (33+11.95)d + 55.5

b) What is the bill for a 5 day​ rental?

Putting d=5 in above function

b = (33+11.95)*5+55.5\\b=(44.95)*5+55.5\\b=224.75+55.5\\b=280.25

The bill for a 5 day rental is $280.25

Keywords: function, addition

Learn more about addition at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

5 0
2 years ago
PLZ HELP!
9966 [12]

Answer:

The area of the triangle is 36 square units

Step-by-step explanation:

First you can make the graph to set up the problem. You then plot the point 3,6 (A). You then reflect this over the Y axis which would be the point -3,6 (B). Point A is then reflected over the X axis to give you 3,-6 (C). You then multiply their total lengths 12 and 6 which is 72. Then you divide 72 by 2 because it is a triangle to get 36

8 0
3 years ago
Why is the quotient -100/(-5) the same as the quotient 100/5
Tatiana [17]

Answer:The quotient of -100 and -5  is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

8 0
3 years ago
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