Answer:
Sweater costs 56.00
To calculate the discounted price of the sweater
56 * (30/100) = 16.8
We used (30/100) to find out the 30 percent of the sweater which will be on discount/reduced.
56-16.8=39.2 is the discounted price
Then we subtract the amount of discount from the original price of sweater to find out the discounted price.
Step-by-step explanation:
Answer:
0.0221 feet per minute.
Step-by-step explanation:

If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,

Rate of Change of the Volume, 
Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.
We have:

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.
The area enclosed by the given 2 curves is; 8/3 or 2.67
<h3>How to Solve Integration with Limits?</h3>
We want to find the area enclosed by the curves;
y = x² - 2x
y = -x² + 2x
The point of intersection of the parabola and the line is given by;
x² - 2x = -x² + 2x
2x² - 4x = 0
Solving this gives;
x = 0, 2
Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;
A = ∫₀² (-x² + 2x - x² + 2x)
A = ∫₀² (-2x² + 4x)
Using online integration calculator here gives;
A = 2.67
Read more about Integration at; brainly.com/question/14388434
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Answer:
the explanation is in the picture
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Answer: Sabric is correct because 3.613 is smaller than 3.63. Therefore, –3.613 lies to the left of –3.63 on a number line.
Step-by-step explanation:
Given that:
Sabric's claim = –3.613 > –3.63
Jessica's claim = –3.613 < –3.63
From the claims above, - 3.613 is greater than - 3.63, this is because both numbers are negative and as such moving towards the left hand side of the number line from 0. - 3.613 will be encountered first before - 3.630, which signifies that - 3.613 is greater than - 3.630