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Usimov [2.4K]
2 years ago
5

The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost

for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
On a coordinate plane, a line goes through points (6, 8) and (12, 4).
(0, 12)
(0, 18)
(12, 0)
(18, 0)
Mathematics
1 answer:
Advocard [28]2 years ago
4 0

Answer:

1) y=12 and 2) (0,12) and (18,0)

Step-by-step explanation:

1) y intercept is when x=0, so 3y=36, y=12

2) the equation of line is y=-(2/3)x+18, so the answer is (0,12) and (18,0)

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

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a=0

b=\frac{\pi}{3}

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V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

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V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
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or

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1 + 2 *[(3+1)*5+3]

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