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Marianna [84]
3 years ago
10

Explain​ how, in​ general, riemann sum approximations to the area of a region under a curve change as the number of subintervals

increases.
Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.

As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.

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A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.
Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

\mathrm{Portion\ poured }=\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}

If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.

The container can hold 280 liters of water.

4 0
2 years ago
Simplify (7^6)^2 .....................................
marysya [2.9K]

Answer:

13,841,287,201

Step-by-step explanation:

simply the parenthesis:

7^6 or 7 times itself 6 times: 7x7x7x7x7x7

which equals 117,649 and then multiply that number by itself

117,649x117,649 and you should get 13,841,287,201

5 0
3 years ago
F(x) = 5x + 4<br> g(x) = 5x2 – 7x – 2<br> Find: f(x) · g(x)
weeeeeb [17]

Answer:

25x^{3}-15x^{2} -38x-8

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8

7 0
2 years ago
HELP PLSSS THIS IS HARD SOMEONEEE
inna [77]

Answer:

it's not even hard

Step-by-step explanation:

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6 0
2 years ago
The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression
Triss [41]

The footage of the room with a rental price of $1500 is 709 square foot

<h3>Linear equation</h3>

A linear equation is given by:

  • y = mx + b

where m is the rate of change, b is the initial value of y, y, x are variables.

Let y represent the monthly rental price and x represent the square footage. Given the equation:

y = 0.7752x + 950.25

For a rent of $1500:

1500 = 0.7752x + 950.25

  • x = 709 square foot.

The footage of the room with a rental price of $1500 is 709 square foot

Find out more on linear equation at: brainly.com/question/13763238

5 0
2 years ago
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