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evablogger [386]
3 years ago
10

6.5 A six-lane freeway (three lanes in each direction) in a scenic area has a measured free-flow speed of 55 mi/h. The peak-hour

factor is 0.80, and there are 8% large trucks and buses and 6% recreational vehicles in the traffic stream. One upgrade is 5% and 0.5 mi long. An analyst has determined that the freeway is operating at capacity on this upgrade during the peak hour. If the peak-hour traffic volume is 3900 vehicles, what value for the driver population factor was used

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

Detailed solution is given in the diagrams attached:

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The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minut
Nataliya [291]

The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v  =  wr

Substitute w = 0.10472  and r = 74 feet into the formula:

v  =  0.10472  x  74

v  =  7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

Learn more on linear speed here: brainly.com/question/4357151

7 0
3 years ago
Write algebraic expressions for each of the following: a. Multiply n by 5 then add 4. b. Add 4 to n then multiply by 5. c. Add 4
kirza4 [7]

Answer:

A. n5+4   B. (4+n)5  C.(4+n)/5    D.(n*n)3   E. (n*3)  2

Step-by-step explanation:

I am not good at explaining but for E. the 2 will be squared but I am not sure how to type it out so Hope this can help  ;)

6 0
3 years ago
Read 2 more answers
Slope for (1,5) (3,4)​
frez [133]

Answer:

-1,2

Step-by-step explanation:

4-5=-1

3-1=2  

y2-y1

x2-x1

8 0
3 years ago
hi can someone please help me with this question please anyone please help me with this question please anyone please help me wi
Hatshy [7]
I think al you have to do is 7x9 but im not sure dubble check it for me. haha
7 0
3 years ago
The screen of an eReader has a length of 8 inches and a width of 6 inches.Can the page content from an atlas that measures 19 in
Ronch [10]

Answer: No, the page content of the atlas cannot be replicated on the eReader.

Please check explanations below for solution to question (b)

Step-by-step explanation: The dimensions of the eReader screen is given as 8 inches by 6 inches. In order to move a rectangular shape such as the atlas onto it would require the same measurements or, a measurement that has the same ratio as both the length and width of the screen, but a reduced size.

This brings us to similar shapes. When two shapes (rectangles in this case) are similar, it simply means there is a common ratio between the corresponding sides, that is the length and the width. If rectangle 1 has its side measuring 8 inches, then rectangle 2 would have the corresponding side having a common ratio with that of rectangle 1. This means the corresponding side in rectangle 2 can either be an enlargement (which would mean 8 times a scale of enlargement) or a reduction (which means 8 divided by a scale of reduction).

In the question given, the eReader screen has dimensions of 8 inches by 6 inches. The atlas has dimensions given as 19 inches by 12 inches. By observation we can see that the width of the atlas is times 2 of the screen. The length of the atlas however is not times 2 of the screen. That is;

Ratio = Rectangle 1 : Rectangle 2

Ratio of Width = 6 : 12

Ratio of Width = 1 : 2

Likewise

Ratio of Length = 8 : 19

Ratio of Length ≠ 1: 2

This proves that the atlas cannot be scaled down to fit properly into the screen. A solution to make this possible would be to resize the length of the atlas to become times 2 of the eReader screen. This would result in the atlas having new dimensions given as

Length = 16 inches

Width = 12 inches

This would ensure that both rectangular shapes are similar and the atlas can now be scaled down by a factor of 2 to fit in properly into the eReader screen.

8 0
3 years ago
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