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kompoz [17]
3 years ago
15

Find the Lowest Common Multiple of 8 and 6.

Mathematics
2 answers:
olchik [2.2K]3 years ago
4 0

Answer:

24

Step-by-step explanation:

Tomtit [17]3 years ago
4 0

Answer:

24

Step-by-step explanation:

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For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
1 year ago
Find the surface area of a square prism with a side measure of 15
Phoenix [80]
Since the length is 15, and the width would be 15, you need to first do 15 x 15.

15 x 15 = 225


Multiply the 6 faces.

225x6

Your final answer would be 1,350.
7 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
inna [77]

The 3 inside angles of a triangle need to equal 180 degrees.

Since you are given 2 angles, subtract both of those from 180 to find X.

X = 180 - 70 - 30 = 80 degrees.

X = 80

7 0
2 years ago
Solve for x:<br> 4x + 10 = 34
VladimirAG [237]

Answer:

x=6

Step-by-step explanation:

4x+10=34

4x=24

x=6

7 0
3 years ago
Read 2 more answers
For his research report, Derek writes 21 pages in a week. Which shows his writing rate in pages per day?
Gelneren [198K]

Answer:

3 pages per week

Step-by-step explanation:

21 (pages written)/ 7 (amount of days)

21/7= 3

6 0
3 years ago
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