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IrinaK [193]
2 years ago
14

Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
6 0

Answer:

60

Step-by-step explanation:

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Write a linear equation that intersects y = x2 at two points. Then write a second linear equation that intersects y = x2 at just
yarga [219]

Answer:

  1. y = x
  2. y = x - 1/4
  3. y = x - 1/2

Step-by-step explanation:

1. Any linear equation that describes a line with non-zero slope through the vertex of the parabola will intersect the parabola at two points (the vertex being one of them). A simple equation for such a line is y=x.

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2. Differentiating the equation, you find that the slope of the curve y = x^2 is 2x, so if we choose a line with a slope of 1, it will go through the point on the curve with x-value equal to 1/2. The y-value at that point is y = (1/2)^2 = 1/4, so the y-intercept of the line must be -1/4.

The line that intersects the curve at one point (1/2, 1/4) is tangent at that point. It has equation y = x -1/4.

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3. Any line with the same slope as the tangent line, but a more negative y-intercept, will not intersect the parabola at all. Such a line is y = x -1/2.

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Truth be told, I found the line y = x -1/2 did not intersect the parabola at all when I thought I was writing the equation for the tangent line. It was an answer to part of your question, just not the part I originally intended.

3 0
2 years ago
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Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart. When Wong’s changes the oil in customers’ c
attashe74 [19]

Question says that Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart.

That means cost of 1 quart motor oil = $0.75

Now it says that Wong’s changes the oil in customers’ cars and marks up the oil 175% of the cost.

So that means selling price of the 1 quart of the motor oil

= 175% of original price

= 175% of 0.75

= 1.75* 0.75

= 1.3125

Which is approx $1.31


Hence final answer is $1.31


7 0
2 years ago
Round steak costs $6.95 per pound. Sara wants to buy 9.5 pounds of round steak which she estimates will cost $54. Which statemen
iren2701 [21]

Answer:

 the answer is 2

Step-by-step explanation:

5 0
2 years ago
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Mr. Scott uses an 8 GB flash drive to store his files for his classroom. His principal buys him a new 64 GB flash drive. What is
katovenus [111]

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

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2 years ago
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What is the sum answer of (1/3)9³ =
Verdich [7]
\frac{1}{3}\cdot9^3=\frac{1}{3}\cdot9\cdot9\cdot9=\frac{9}{3}\cdot9\cdot9=3\cdot9\cdot9=27\cdot9=\boxed{243}
3 0
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