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Ahat [919]
3 years ago
15

Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = (x, y) | 2 ≤ x ≤ 8, 6

≤ y ≤ 10 (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid.

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

See attached picture:

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Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are
DIA [1.3K]

Answer:

50 Students

Step-by-step explanation:

24% = 0.24

12/total amount of students = 0.24

12/0.24 = total amount of students

total amount of students = 50

4 0
3 years ago
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Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
maria [59]

Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

C = 11

Therefore, the number of pounds of cashew is 11

8 0
3 years ago
Solve the inequality. Show your work.
amm1812
What inequality? its not here.
5 0
3 years ago
Which expression can be used to find the area of the rectangle shown on the coordinate plane?
Nimfa-mama [501]

Answer:

7X8

Step-by-step explanation:

There is 7 spaces along one side and 8 along the other, area=l x w (length multiplied by width)

7 0
3 years ago
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The volume of the oblique cylinder is 24 ft3.
Marianna [84]

Answer:

A)    C)     E)

Step-by-step explanation:

ON edge

7 0
3 years ago
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