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lilavasa [31]
3 years ago
12

A certain westbound U.S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means

. A 9% downhill grade for a segment of road means that the decrease in elevation of the road over the segment is 9% of the change in horizontal distance over the same segment. In other words, for every
Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

Step-by-step explanation:

A Certain westbound U.S highway truck route near a river has a downhill grade of 9%

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

In other to make things clear, lets assume

for X = 1 , y = 9% = 0.09

for y =  9 , x = 9 / 0.09 = 100

slope = y/x = 0.09 / 1 = 0.09

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If f(x) = x2 + 1 and g(x) = x -4, which value is equivalent to (f•g)(10)?
Phantasy [73]

Answer:

<h2>(f•g)(10) = 37</h2><h2 />

Step-by-step explanation:

(f•g)(x) = (x - 4)² + 1

then

(f•g)(10) = (10 - 4)² + 1 = 6² + 1 = 37

4 0
3 years ago
What is<br> as a decimal rounded to 3 decimal places?
puteri [66]
“Three decimal places” is the same as “the nearest thousandth.” So, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places."
7 0
3 years ago
A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
How much do subtract from 37/6 to make 6
choli [55]
37÷6
=6.1666666667
- 0.1666666667
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4 0
3 years ago
Kaylah's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Lady_Fox [76]

Answer:

b) 50

Step-by-step explanation:

you can multiply all of the answers by .7 (70% converted into a decimal) to see which one matches 35 miles.

24.5(.7) = 17.15 INCORRECT

50(.7) = 35 CORRECT

59.5(.7) = 41.65 INCORRECT

200(.7) = 140 INCORRECT

8 0
2 years ago
Read 2 more answers
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