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swat32
3 years ago
14

Rendering math...A jug has a maximum capacity of 3 liters. It’s filled to 95% of its capacity, and then poured out at a rate of

40 mL/s. Which of the following expressions models the volume remaining in the jug, in liters, after x seconds?
Mathematics
1 answer:
vivado [14]3 years ago
8 0

95% of 3 is 2.85 liters

1 ml = 1000 liters so divide the amount it’s emptied by 1000

40/1000 ml/s

Multiply the emptied rate by x ( number of seconds) and subtract that from starting amount:

W(x) = 2.85 - (40/1000)x

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Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

y=56x

comparing with the slope-intercept form of the line equation

m = 56

<u>Determining the y-intercept</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

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The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

4 0
3 years ago
Now use the distributive property to factor the expression you obtained in part D??????
Step2247 [10]

Answer:

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The expression 150 + 2x is equivalent to 2(75 + x).

Step-by-step explanation:

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8 0
3 years ago
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Step-by-step explanation:

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3 0
3 years ago
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stiv31 [10]

Answer:

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Step-by-step explanation:

An exponential equation can be written using the given data:

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Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...

  P = 20000×1.625^(n/4)

3 0
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