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MissTica
3 years ago
6

find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft heigh

t=1ft
Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

4

Step-by-step explanation:

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Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
Adult tickets for the movie theater cost $9. Child tickets cost $5.25. Write an expression for the total cost of a group of adul
sammy [17]

Answer:

Step-by-step explanation:

9a + 5.25c

5 0
3 years ago
Between the time Iko woke up and lunchtime,the temperature rose by 11°.Then by the time he went to bed,the temperature dropped b
natali 33 [55]

Answer: Cannot be done

Step-by-step explanation:

This is impossible as there is no previous information and we don’t have a formula.

7 0
3 years ago
Read 2 more answers
Investment banks generally provide all the following services except:
Natasha_Volkova [10]

Answer:

D. making loans to businesses for capital investment.

Step-by-step explanation:

We can define the responsibilities of investment bans like- these banks specialize in complex financial transactions like underwriting.

These also play the role of broker or financial adviser for institutional clients. These banks helps organisations to raise capital.

These also help companies and governments issue new securities.

So, the answer is -

Investment banks generally provide all the following services except: making loans to businesses for capital investment.

7 0
3 years ago
Read 2 more answers
Farmer yoy started with 74 habs on his farm. Every hour, he squashed 1 more of them. Farmer umpt started with 54 habs on her far
bearhunter [10]

Answer:

4 hours it will take for them to be equal.

Step-by-step explanation:

every hour Umpt collects 4

every hour Yoy loses 1,

54 + 4 = 58 +4 = 62 + 4 = 66 + 4 = 70

74 - 1 = 73 - 1 = 72 - 1 = 71 - 1 = 70

5 0
3 years ago
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