3 years ago

A garden hose fills a 2-gallon bucket in 5 seconds.

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

6 0

The correct answer would be A Hope you have a good day Hope this helped you and bye......

natulia [17]3 years ago

5 0

The filling rate is 2/5=0.4 gallons per second. So the appropriate equation is A.

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boyakko [2]

Answer:

C (1 2/3)

Step-by-step explanation:

This is a division problem.

10 pieces total; 5 eaten

5 pieces eaten split evenly between John and 2 friends

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3 years ago

At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be

baherus [9]

Answer:

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Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

<em>Note: </em>The identity $cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)$

$cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}$

So they intersect at $x=\frac{\pi}{2}, \frac{3\pi}{2}$

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Answer:

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Step-by-step explanation:

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