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Lunna [17]
3 years ago
9

The coolor below holds 10 gallons. How many quarts will the jug hold?

Mathematics
1 answer:
kiruha [24]3 years ago
6 0
Can we get a picture?
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Fine The Slope Of Each Line Defined Below And Compare Their Values.
victus00 [196]

Answer:

slope of line A= 5/3

slope line B=3/5

they are reciprocals  5/3>3/5

Step-by-step explanation:

the intercepts are 0,5 and -3,0 so 0+3/5+0= the slope

3/5 is the slope

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3 years ago
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Step-by-step explanation:

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3 years ago
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defon
Pat has 4 more cards than Frank. Hope that helps! :) 
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3 years ago
The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

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3 years ago
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