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professor190 [17]
3 years ago
7

Beth has 15 pounds of laundry. The laundromat chargers $0.80 kilogram

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
$5.44. 15 lbs of laundry equals 6.8 kilograms times .80 gives you $5.44.
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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Darina [25.2K]

Answer:

Given definite  integral as a limit of Riemann sums is:

\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Step-by-step explanation:

Given definite integral is:

\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}

Substituting (2) in above

f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Riemann sum is:

= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

4 0
3 years ago
20 % of 2 is equal to wht
iren2701 [21]
It would be 0.4:) hope this helps
5 0
3 years ago
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Is {2,4,6} and {6,4,2} equal or not equal
lisabon 2012 [21]

ummmmmmmm it's equal..

3 0
2 years ago
Please help!!! It would be much appreciated
BigorU [14]

Answer:

Hours of television because it is the explanatory variable.

Step-by-step explanation:

For me, I am assuming the more time spent watching television would cause lower reading scores. I imagine this would be a bar graph, the vertical y-axis would be labeled the reading scores and the horizontal x-axis would be the amount of hours spent watching television. This is because when you graph, you move right then up to get to the unit, meaning the hours of television affect the reading scores. hope this helpss

6 0
2 years ago
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. Find the original number.
muminat

Answer:

37

Step-by-step explanation:

To start out, if you know that the digits add to 10, then the number must me around 46-37, as 28 and 82 wouldn't make sense, and 55 is a palindrome.

37-->73, 73-37=36.

3 0
3 years ago
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