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torisob [31]
3 years ago
15

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.
When the water was 4 feet from the end of the hose, what was its height above the ground?

A. 3.2 feet
B. 4.8 feet
C. 5.6 feet
D. 6.8 feet

Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
The problem above can be modelled as shown in the graph below

At x=4, the height of the water from the ground is
f(4)=-0.3 (4)^{2} +2(4)
f(4)=3.2 ft

Feliz [49]3 years ago
4 0

Answer:

The answer is 3.2

Step-by-step explanation:

I can't explain it very well but A is the answer.

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Number Two or B would be correct
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You roll two dice 44 times how many times do you expect to roll at least one even die?
Vilka [71]

Answer:

2

Step-by-step explanation:

6, because there's 3 types of even die and you're rolling it 44 times, or 6 times per number

3 0
3 years ago
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Eduardwww [97]
Answer: 4 for the first one and 4.25

Explanation:


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7 0
3 years ago
Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
How do I show work for this question?, A train travels at an average speed of 67.5 miles per hour. At this speed how far could t
KatRina [158]

Answer: 219.375 miles

<u>Step-by-step explanation:</u>

d = r * t

   = 67.5 * 3.25

   = 219.375

5 0
3 years ago
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