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Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

I hope this is helpful.

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The cost to hire a plumber for x hours is shown on the graph. For this graph, what does the y-intercept of the line of best fit

Alenkasestr [34]

The y-intercept represents the flat charge to hire the plumber

Explanation: The y-intercept is 0 hour, which can represent flat charge

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2 years ago

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Tom has some toy cars. 25 of them are red. He has 35 more green cars than red cars. The remaining 15 toy cars are yellow. Tom de

horrorfan [7]

Answer:

Step-by-step explanation:

red = 25

green = 25 + 35 = 60

yellow = 15

red = 25/5 = 5

green = 60/5 = 12

yellow = 15/5 = 3

Red + green = 5 + 12 = 17 boxes

yellow = 3 boxes

17 - 3 = 14 boxes

There are 14 more boxes of red and green cars than yellow cars.

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3 years ago

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2 years ago

The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$