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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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Julie travels 3 times as fast as Bill. Traveling in opposite directions, they are 190 miles apart after 2.5 hours. Find their ra
Mkey [24]

Answer:

Step-by-step explanation:

Let b

Bill's rate of travel = x

Let Julie's rate of travel = 3x

The time each travels is 2.5 hours

Together they travel a distance of 190 miles

d = r*t

Bill's distance covered is r * t = 2.5x

Julie's distance travel is 2.5 * 3x = 7.5x

The total distance = Bill + Julie

2.5x + 7.5x = 190

10x = 190

x = 190/10

x = 19

Bill's distance = 2.5 * 19 = 47.5

Julie's distance = 19 * 7.5 = 142.5

Rate = distance / time

Bill's rate = 47.5 / 2.5 = 19 miles per hour.

Julie's rate = 142.5/2.5 = 57 miles per hour

Is there an easier way?

You should notice that Bill's rate is just x which is 19 miles / hour

You can also notice that Julie is going 3 times as fast or 19*3 = 57

6 0
3 years ago
(05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
ira [324]

Answer:

iuhiyugyuguyguygtugtugtufytfutuygfryuhtriubntuoeibngriuoirntutyrnytn

Step-by-step explanation:

4 0
2 years ago
Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x
FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

f(x) = 32,500 \times \left(0.88\right)^x

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x

8 0
3 years ago
PLEASE HELP, URGENT!!!
sveticcg [70]
For this equation, let b equal the cost per box.
b=$100/5
4 0
3 years ago
a cookie recipe calls for 2 1/4 cups of sugar for every 2/3 cups of flour.if you made a batch of cookies using 1 cup of flour ho
GenaCL600 [577]
Figure out how many cups of sugar are in 1/3 cup flour: 9/4÷2= 9/4÷1/2= 1 1/8. Multiply by 3: 1 1/8x3= 9/8x3/1= 27/8= 3 3/8. 3 and 3/8 cup of sugar for 1 cup flour. :)
7 0
3 years ago
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