The maximum speed possible on a length of railroad track is directly proportional to the cube root of the amount of money spent ob maintaining the track. Suppose that a maximum speed of 25 km/hr is possible on a stretch for which 450,000 was spend on maintence, find the maximum speed if the amount spent on maintence is increased to $1,750,000 Pls help me show steps please

Answers

Answer 1

Answer:

[tex]39.29\ \text{km/h}[/tex]

Step-by-step explanation:

s = Speed of the train

m = Money spent on maintanence

[tex]s\propto m^{\dfrac{1}{3}}[/tex]

Let k be the constant of proportionality so

[tex]s=k (m)^{\dfrac{1}{3}}[/tex]

Now a case is given where 25 km/hr is possible on a stretch for which 450,000 is spent so

s = 25

m = 450000

[tex]s=k (m)^{\dfrac{1}{3}}\\\Rightarrow k=\dfrac{s}{m^{\dfrac{1}{3}}}\\\Rightarrow k=\dfrac{25}{450000^{\dfrac{1}{3}}}\\\Rightarrow k=0.326[/tex]

Now when m = 1750000

[tex]s=k (m)^{\dfrac{1}{3}}\\\Rightarrow s=0.326\times 1750000^{\dfrac{1}{3}}\\\Rightarrow s=39.29\ \text{km/h}[/tex]

The maximum speed of the train would be [tex]39.29\ \text{km/h}[/tex].


Related Questions

HEEEEEELP MEEEEEEE PLZZZZ WILL CHOOSE BRAINLIEST

Answers

Answer:

no jami can not mow 1 1/2 in 1 hour

Step-by-step explanation:

well 1/6 * 9 = 1.5

8 * 9 = 72

i would take her 1 hour and 12 minutes to mow

Which point lies on the graph of the finite sequence shown? 5,-1,6, 0, 7, 1,8 O (-1,2) (0,5) (5, 1) (6, 1) ​

Answers

Answer: (6,1)

Step-by-step explanation:

A point which lies on the graph of the finite sequence is,

⇒ (6, 1)

Given that;

A sequence is,

⇒ 5, -1, 6, 0, 7, 1, 8

Now, You have to look at the first coordinate (x -Axis) then go over that many times in the sequence and if that number is matched with the y-axis, then you got it.

Hence, Look at your numbers then go to (6, 1) go over 6 and if you land on 1 then that's the answer.

Thus, A point which lies on the graph of the finite sequence is,

⇒ (6, 1)

Learn more about the sequence visit:

https://brainly.com/question/6561461

#SPJ2

PLS HELP!!! find the length of side a

Answers

Answer:

2

Step-by-step explanation:

the slope is always 1/2 so 5-3

Answer:

a = 4

Step-by-step explanation:

a = ?

b = 5

c = 3

a = √ (c^2 - b^2)

a = √ (3^2 - 5^2)

a = √ 25 - 9

a = √ 16

a = 4

rounding to 1 significant figure, estimate the answers to these questions:
a)
78 x 92
b)
615 x 38
c)
423 x 764

Answers

a. Is 7,176

b. 23,370

c. 323,172

help plz i'll give braineys

Answers

Answer:

c. 2/3

Step-by-step explanation:

the value of the number marked on the number line is 4/6, which simplifies down to 2/3.

Any help would be appreciated!
7/9+ 8/9 as a mixed number

Answers

Answer:

15/9 :))

is your answerrr

Answer:

15/9

Step-by-step explanation:

For this all you have to do is add the numerators.

So 7 + 8 = 15

The number is 15/9

Hope this helps ya!!

modern parents are not trying in parenting please help debate que
dont steal my points​

Answers

Answer:

Parents are too busy with their careers which leads children to seek attention by being aggressive

Parents Who Abuse Their Children Set an Example of Violence

Authoritative Parenting is Better Than Coddling to Prevent Violent Children

What About Outside Sources?

Parents Can Prevent Violence by Spending Time With Their Kids

Step-by-step explanation:

Hope this helped!

Please help I need an explanation i will give brainliest :)

Answers

y=10

If you divide 8 by 2 you'll get 4. Now do the opposite of division. multiply5 by 2 you'll get 10

What is the value of -6 1/2 x 1 1/4

Answers

Answer:

-8.125

Step-by-step explanation:

Answer:

-8 1/2

Step-by-step explanation:

-6 1/2 x 1 1/4 equal -8.125, -8.125 as a fraction is -8 1/2

I have been asking and asking for help and not one hleped me all they did was troll and say dumb stuff that has nothing to do with the question plss hlep me I can't do this

Answers

Answer:

Try 120

Step-by-step explanation:

There are five dashes in between 100 and 200. Count up by 20s

sum of numbers 12-111

Answers

Answer:

12-111=-99

Step-by-step explanation:

-99 ahshjsjdhsjshdhagd

A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1.

What is the residual e when x = 12?

Enter your answer in the box.
e =

Answers

Answer:

Im pretty sure it is E=8

Step-by-step explanation:

Answer:

E=8

Step-by-step explanation:

took the test :)

a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?

Answers

Answer: The team will be 160 feet below sea level after 3 minutes.

Step-by-step explanation:

If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going  -50 ft per minute, it also means that they are still going below sea level.

The rule will be,     d= -50t -10        

If t is the time, input 3 minutes into  the equation for t and solve for d to find their depth.

d= -50(3) - 10

d= -150 - 10

d= -160

Fredrick manages a band and sing leads vocal the band charges $700 per concert Frederick receives 175 of that money and he shares the rest equally among the other five members of the band how much money does each of the five band members receive per concert

Answers

Answer:

Each will receive $105

Step-by-step explanation:

Step one:

given data

we are told that the total amount made is $700

If Frederick receives $175 from the amount made the balance left to share is

=700-175

=$525

Step two:

Hence the five band members will share $525

each of them will receive

=525/5

=$105

How many positive divisors does the number 24 have?

Answers

1,2,3,4,6,8,12 and 24 are the divisors so there are 8 counting 24
12346812 and 24 are divisors! Good luck!

If you can solve both of these ill give brainliest with work!

Answers

Answer:

1) 4 ft

2) Length =69

Width=64

Step-by-step explanation:

1) 2x-2+2x-2+x-2+x-2=x+x-1+x-1

6x-8=3x-2

6x-3x=-2+8

3x=6

x=2

plugging it back in, we get for the triangle

2+2-1+2-1=4 (same answer for the rectangle, although it would have a width of zero)

2) w+w+w+5+w+5=266

4w+10=266

4w=266-10

4w=256

w=64

l=64+5=69

If a bus travels 200 miles in 5 hours what was the average speed of the bus in miles per hour

Answers

Answer:

ths answrs is 40 miles pwr hour becUsd 200/5=40

Answer:The average speed  the bus was going is 40 mph

Step-by-step explanation: 200÷5=40

Can you mark me brainliest

Mary-Ann has $28, which is 2 1 3 as much money as Lola has. How much money does Lola have? find the number

Answers

Answer:

Lola has $12

Step-by-step explanation:

To find how much money Lola has, we need to divide $28 by 2 1/3:

28 ÷ 2[tex]\frac{1}{3}[/tex] = [tex]\frac{28}{1}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{1}[/tex] = 12

Hope this helps! :)

Answer:

$12

Step-by-step explanation:

Lola has x.

Mary-Ann has 2 1/3 times what Lola has. Mary-Ann has $28

2 1/3 * x = 28

Change 2 1/3 into a fraction.

(7/3)x = 28

Multiply both sides by the reciprocal of 7/3 which is 3/7.

(3/7) * (7/3)x = (3/7) * 28

x = 12

Answer: Lola has $12.

What is the equation of the line that passes through the point (2,0) and has a slope of 5/2 ?

Answers

Answer:

y = [tex]\frac{5}{2}[/tex] x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{2}[/tex] , thus

y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = 5 + c ⇒ c = 0 - 5

y = [tex]\frac{5}{2}[/tex] x - 5 ← equation of line

The equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.. Thus the equation of the line with point (2,0) and slope 5/2 is,

[tex]y=\dfrac{5}{2} x-2[/tex]

Given information;

The point of the line through which the line passes are (2,0).

The slope of the line is 5/2.

Equation of the line

The equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.

The standard form of the equation of the line for point and slope can be given as,

[tex](y-y_1)=m(x-x_1)[/tex]

Put the values,

[tex](y-0)=\dfrac{5}{2} (x-2)[/tex]

Solve it further;

[tex]y=\dfrac{5}{2} x-2[/tex]

Thus the equation of the line with point (2,0) and slope 5/2 is,

[tex]y=\dfrac{5}{2} x-2[/tex]

learn more about the equation of the line here;

https://brainly.com/question/2564656

The area of triangle ABC is 34cm squared
calculate the area of triangle DEF

Answers

Not enough information to complete the problem. Please comment with the correct question so I can solve it.

0.7,7/9,7/8 order least to greatest

Answers

0.7, 7/9, 7/8 already in the order.

Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7). Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5). What is the component form of vector Vector P Q minus R S?

Answers

Answer:

5,3

Step-by-step explanation:

Took on Ed

Answer:

5,3

Step-by-step explanation  

Vector PQ in component form is 2,4 (5-3),(7-3)

Vector RS in component form is -3,1

After subtracting -3,1 from 2,4 you get 5,3

Answer: 5,3

10 is 32% of what number?

a. ; 32
b. ; 31.25
c. ; 3.2
d. ; 312.5

Answers

ANSWER:

31.25

STEP-BY-EXPLANATION:

you take 32 percent of a number and get 10, then what is that number?

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:31.25

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Answer:

b. 31.25

Step-by-step explanation:

[tex]\frac{10}{y} :\frac{32}{100}[/tex]

y × 32 = 10 × 100

32y = 1000

32y ÷ 32 = 1000 ÷ 32

y = 31.25

Question 2 (1 point)
(03.01 LC)
What is the length of leg y of the right triangle? (1 point)

a- 2
b- 8
c- 12
d- 35

Answers

Answer:

my guys its 12 so its c

Step-by-step explanation:

i did the test

Answer:

12

Step-by-step explanation:

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance.

Answers

Here is the complete question.

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below.

a) What is the total of minimum payments?

b) What is the total sum of the finance charges?

c) How much does the starting balance decrease after these three payments?

d)The total of your finance charges is what percent of our total payments?

Answer:

Step-by-step explanation:

Month       Beginning        Finance          New               Minimum

                  Balance          Charge            Balance        Payment

1          $ 1200             24.99           1224.99            36.75

2          1188.24             24.75          1212.99            36.39

3          1176.60             24.50           1201.10            36.03

4          1165.07             24.26           1189.33             35.68

a.

The total minimum payments for 3 months = 36.75 + 36.39 + 36.03

The total minimum payments for 3 months = $ 109.17

b.

Total finance charges for 3 months = 24.99 + 24.75 + 24.50

Total finance charges for 3 months = $ 74.24

c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93

d. The total of finance charges = 74.24×(100/109.17)

The total of finance charges = 68% of total payments.

24. Seven tenths of a number plus 14 is less than forty-nine.

Answers

Answer:

50. ☺️☺️

Step-by-step explanation:

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50

Answer: 50

Step-by-step explanation:

49 - 14 = 35

35/7 = 5

10 x 5 = 50

Since, 35 is Seven tenths of a number, One tenth is 5 and there are ten tenths, One tenth which is 5 times ten since there are ten tenths equals to 50 (5 x 10 = 50).

what is 1,630 divided by 44 as a Decimal

Answers

Answer: 18.5227272727

Step-by-step explanation:

1630/44 = 37.0454545455

Therefore 37.0454545455 to 2 decimal places = 37.05

1630/44 divided by 2 » (1630/44) ÷ 2 » 37.0454545455 ÷ 2

= 18.5227272727

Answer:

3704.54545455

Step-by-step explanation: simplified

1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?

Answers

Answer:

So 12 of 15 free throws is 80% so she would have to make at least 13 of 15 free throws to at least get over 85% cause 13 of 15 is 86.6% repeated

Step-by-step explanation:

Find 3/7 • 9/10 as a fraction

Answers

Answer:

27/70

Step-by-step explanation:

This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.

Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.

Put them together and you get 27/70.

Hope I helped!!!

ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven 10 minutes after being turned on

Answers

Answer:

The temperature of the oven after 6 minutes is 125 degrees and after 10 minutes its 165 degrees.

Step-by-step explanation:

10 x 6 = 60

60+65=125

10 x 10 = 100

100+65=165

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