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FromTheMoon [43]
2 years ago
14

Water is filling a pool at a rate of 5 gallons per minutes. Write equivalent ratios for the first 5 minutes of the pool filing u

p. *

Mathematics
1 answer:
OverLord2011 [107]2 years ago
3 0

Time

1            2              3              4             5

___________________________________________

5           10            15            20           25

Amount of water

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The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector
Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

x^{2}=4py (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

x^{2}=4(6)y=24y (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

(4.5)^{2}=24y, solving for y

y=\frac{(4.5)^{2}}{24}\approx0.84\,ft

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3 years ago
Given: If a parallelogram has 4 congruent sides, then it is a rhombus.
makkiz [27]

B) ABCD is a rhombus as all the sides are congruent (equal)

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3 years ago
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Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many
prisoha [69]

divide total ounces by the amount each cup can hold

678 / 8 = 84.75

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3 years ago
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I cant fail this it’s my exam please help anyone
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The answer is b because it is b

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2 years ago
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A candy company uses 8 gallons of corn syrup to make 1,776 pieces of candy. If they use 52 gallons of corn syrup per hour, how m
kondor19780726 [428]

Answer: 11,544 pieces of candy are made per hour.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Gallons of corn syrup used: 8 </em>
  • <em>Pieces of candy produced: 1,776 </em>
  • <em>gallons of corn syrup per hour: 52 </em>

If we apply proportions:

8 /1,776 = 52/x

Where x is the pieces of candy made per hour.

Solving

x = 52x1, 776 /8

x = 11,544

11,544 pieces of candy are made per hour.

4 0
3 years ago
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