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Aleksandr [31]
2 years ago
12

Please complete marking the first answer brainliest!

Mathematics
1 answer:
melomori [17]2 years ago
5 0

Answer:

$31.56

Step-by-step explanation:

$9.85 × 4 = $39.40

$39.40 25% off is $29.55

6.75% rounded to the nearest cent 6.80%

Sales tax is $2.01

$29.55 + $2.01 = $31.56

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Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.
dimulka [17.4K]

Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

7 0
3 years ago
Help please with this fast
nikdorinn [45]
The answer is 120 to find mt
5 0
3 years ago
Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. Takes him 12 hrs to knit a hat,
kari74 [83]

Constraints are simply the subjects of an objective function.

The inequality that represents the constraint is: 12x + 6y \le 20

Represent the number of hats with x, and the number of scarves with y.

From the question, we have:

  • He spends 12 hours to knit a hat
  • He spends 6 hours to knit a scarf

So, the equation of the total time spent is:

Time = 12x + 6y

This time spent is not more than 20 hours.

So, the inequality is

12x + 6y \le 20

Hence, the inequality that represents the constraint is: 12x + 6y \le 20

Read more about constraints at:

brainly.com/question/24574823

3 0
2 years ago
Which of the following is the sum of all the odd integers between 5 and 102?
STALIN [3.7K]

Answer:

2601

Step-by-step explanation:

The integers between 5 and 102 are

7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

The sum of the odd intergers between 2 and 105 can be calculated as follows

= (N + 1/2)^2

= (101 + 1 /2) ^2

= (102/2)^2

= 51^2

= 2601

Hence the sum of the odd intergers between 5 and 102 is 2601

3 0
3 years ago
You withdraw $29.79 from your bank account. Now your balance is −$20.51. Write and solve an equation to fi nd the amount of mone
Lunna [17]
You had $9.28 prior to making the withdrawal

-$20.51 = x - $29.79
x = $9.28
4 0
3 years ago
Read 2 more answers
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