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aliya0001 [1]
3 years ago
15

What’s the volume of this cone?

Mathematics
1 answer:
lara [203]3 years ago
5 0
200
Because you have to multiply
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Show all work and reasoning
Natalija [7]
Split up the interval [2, 5] into n equally spaced subintervals, then consider the value of f(x) at the right endpoint of each subinterval.

The length of the interval is 5-2=3, so the length of each subinterval would be \dfrac3n. This means the first rectangle's height would be taken to be x^2 when x=2+\dfrac3n, so that the height is \left(2+\dfrac3n\right)^2, and its base would have length \dfrac{3k}n. So the area under x^2 over the first subinterval is \left(2+\dfrac3n\right)^2\dfrac3n.

Continuing in this fashion, the area under x^2 over the kth subinterval is approximated by \left(2+\dfrac{3k}n\right)^2\dfrac{3k}n, and so the Riemann approximation to the definite integral is

\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n

and its value is given exactly by taking n\to\infty. So the answer is D (and the value of the integral is exactly 39).
8 0
3 years ago
Five sevenths times seven thirds
lord [1]

5/7 x 7/3

Multiply the numerators together and the denominators:

(5 x 7) / (7 x 3)

35/21 reduces to 5/3 = 1 2/3

3 0
3 years ago
If n=11, what is 5n ?
mezya [45]

Answer:

55

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of h
loris [4]

Answer:

<em>24, 48, 72, 96</em>

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:

Multiples of 15: 15,30,45,60,75,90,...

Multiples of 25: 25,50,75,100,...

Note 75 is a common multiple of both and is also the smallest possible.

Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:

6 = 2*3

8 = 2*2*2

Multiplying the common factors the maximum number of times it appears:

LCM = 2*2*2*3 = 24

Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.

The sequence of lockers is:

24, 48, 72, 96

7 0
3 years ago
Richard can mow the lawn three times as fast as Terri. Together, they finish mowing the lawn in 20 minutes. Which of the followi
marysya [2.9K]

Answer:

d it adds the two up and only mutiplys terris amount.

7 0
3 years ago
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