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sammy [17]
4 years ago
15

What does u stand for and could you make your answer a little clearer please?

Mathematics
1 answer:
Karolina [17]4 years ago
4 0
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour become 3km/h.

If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t

To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2

After that you need to find the initial speed. Try to put the 1st hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h 

Then the full function would be:
v= 6km/h - 1km/h^2 * t

The graph would look like a backslash(\) from 6 gradually go down to 1. 
You might be interested in
Ben Frank is an electrician who installs lighting fixtures. He charges (in dollars) his clients 15h + 40f, h, plus, 40, f where
Savatey [412]

Answer:

15h+40f

15(7)+40(9)

105+360

465

465 fixtures

Step-by-step explanation:

7 0
3 years ago
A newspaper reported that 4040​% of people say that some coffee shops are overpriced. The source of this information was a telep
vampirchik [111]

Answer:

a. Identify the population of interest in this study.

  • all the population of the country

b. Identify the sample for the study.

  • 50 adults (the ones that were surveyed)

c. Identify the parameter of interest in the study.

  • the parameter of interest is the people that believe that coffee shops are overpriced

d. Find and interpret a 95​% confidence interval for the parameter of interest.

z score for a 95% confidence level = 1.96

margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579

95% confidence level interval:

0.4 - 0.13579 = 0.26421

0.4 + 0.13579 = 0.53579

  • 95% confidence interval (0.26421 , 0.53579)

5 0
4 years ago
A cheetah runs at 65 miles per hour. Which equation represents his speed if y is the
Masteriza [31]

Answer:

c. y = 65x

Step-by-step explanation:

y = miles

x = hours

7 0
3 years ago
Given that a randomly chosen flight arrives on time, what is the probability that it arrives in Philadelphia (PHL)?
olga55 [171]

Using concepts of probability, it is found that there is a 4.7% probability that it arrives in Philadelphia (PHL).

<h3>What is a probability?</h3>
  • A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • Over a large number of trials, a percentage can also represent the probability of  single event.

In this question, researching the problem on the internet, we have that over a large number of flights, of those which arrived on time, 4.7% of them were in Philadelphia, hence:

  • There is a 4.7% probability that it arrives in Philadelphia (PHL).

You can learn more about probabilities at brainly.com/question/15536019

3 0
2 years ago
A chain 27 feet long whose weight is 95 pounds is hanging over the edge of a tall building and does not touch the ground. How mu
bazaltina [42]

Answer:

Work done = 2,565 lb-ft

Step-by-step explanation:

The density of the chain in lb/ft  is equal to

\frac{95}{27} lb/ft

Total Work done is equal to the summation of  work done up to the top of building.

We will use integration for this evaluation.

The mathematical relation is as follows

\int\limits^{40}_0 {X} \, pdx

where "p" is the density

Substituting the given values, we get

\frac{95}{27} \int\limits^{27}_0 {X} \, dx\\\frac{95}{27}  X^2\int\limits^{27}_0\\ \frac{95}{27}  {27^2 - 0^2}\\\frac{95}{27}  * 27 * 27\\95* 27\\= 2,565

Work done = 2,565 lb-ft

6 0
3 years ago
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