1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
10

A freight train departs from one train station to its destination at a constant speed. Suppose the distance the train is from th

e station in miles is represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5, 135) and (2,81), what is the distance between the train station and the freight train's destination? (1 point) A. 189 miles B. 171 miles C. 153 miles D. 162 miles​
Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

108 miles

Step-by-step explanation:

Given the points (0.5, 135) and (2,81)

Diatnce between two points :

D = √(x2 - x1)² + (y2 - y1)²

X1 = 0.5 ; y1 = 135 ; x2 = 2 ; y2 = 81

D = √(2^2 - 0.5^2) + (81^2 - 135^2)

D = √(4 - 0.25) + (6561 - 18225)

D = √3.75 −11664

D = 107.98263

D = 108 miles

You might be interested in
guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important
Andrej [43]
Okkk .. this is what this app is for anyways to help.
5 0
3 years ago
Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
3 years ago
Miss Osborne is standing next to a tree at high noon the tree cast a 44 foot shadow and miss Osborne cast a 4 foot shadow how ta
Gwar [14]

Answer:ok soooo I did this last year but I don’t remember anymore

Step-by-step explanation:

3 0
3 years ago
Which is the answer?
algol13
B or c that’s feels the most likely to be it
7 0
3 years ago
Other questions:
  • What is the arc length of a circle that has an 8-inch radius and a central angle that is 95 degrees?
    9·1 answer
  • The sum of two numbers is negative thirty. One number is five times the other
    13·2 answers
  • Please help me I don’t understand how to do this
    5·2 answers
  • Is the value of ( -9) -3 x (-9) -2 positive or negative
    13·2 answers
  • Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%20" id="TexFormula1" title=" \sqrt{48} " alt=" \sqrt{48} " ali
    12·2 answers
  • Given the point (3, 4) and the slope of 6, find y when x = 27
    9·2 answers
  • A+c =r-d solve for a.
    7·1 answer
  • HELP!! URGENT!! 75 POINTS + BRAINLIEST!!
    8·1 answer
  • Have an amazing day :) <br><br> Will give brainlst
    15·1 answer
  • Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!