A train travelling along a straight line with constant acceleration is observed to travel consecutive distances of 1km in times of 30s and 60s respectively. Find the initial velocity of the train.

Answers

Answer 1

Answer:

116.7m/s

Step-by-step explanation:

distance(s) = 1km = 1 × 1000m = 1000m

Time(t) = 60– 30 = 30s

initial velocity = u

acceleration (a) = 10m/s

using the formula

S = ut + ½at²

1000 = 30u + ½ × 10 × 30²

1000 = 30u + 5 × 900

1000 = 30u + 4500

30u = 4500 – 1000

30u = 3500

divide both sides by 30

u = 116.7m/s

i hope i helped


Related Questions

Ava read 126 books in 12 months. How many books per month did she read? Show your work

Answers

10.5 hopes this helps

A nurse administers 25 milligrams of a drug to a patient. The amount of the drug, A, in milligrams, left in the patient after thours can be modeled by the function A(t) = 25e 0.354
How many hours will it take for the amount of the drug left in the patient to drop to 0.25 milligrams? Round your answer to the nearest tenth of an hour.
hours
Pls helppp

Answers

Answer:

heyy guyss how r u all I'm Aditya from. India I've changed my server to Ireland is this Ireland

Step-by-step explanation:

and plss guyss fo llo w me

the graph shows the height y, in feet, of a balloon that is launched from a platform 13.5 feet high, as a quadratic function of x, the time in seconds. What is the domain of this function in this situation?

Answers

Answer:

B) 0<=x<=54

Step-by-step explanation:

The domain of the function is,

0 ≤ x ≤ 54.

What is domain?

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

The graph is given in the attached image.

The graph shows the height y, in feet, of a balloon that is launched from a platform 13.5 feet high, as a quadratic function of x, the time in seconds.

The domain of the function is those value where the function is defined.

The domain of the function is,

0 ≤ x ≤ 54.

Therefore, 0 ≤ x ≤ 54 is the domain.

To learn more about the domain;

https://brainly.com/question/28135761

#SPJ2

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Work:

[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]


I don’t get this I need help if you get it right I will mark you as brainlest

Answers

Answer:

Step-by-step explanation:

Lesson 18: Exponentials Unit Test Algebra 1 B Unit 5: Exponentials

What is the value of the function? f(x)=(−2)3(3)0(4)−2
−3/2

0

−3/4

−1/2

Simplify the expression (45y5y744y9)2



This is a 17 question test those are the first 2 please try and find all 17 you have the title first to give all 17 will get brainlist

Answers

Answer:

search mo po sa goggle

Answer:

id k the first one

Simplify the expression (45y5y744y9)2 =

90[tex]y^{758}[/tex]

Help a brother out pls
I have a f because of this assignment pls help

Answers

Answer:

error: "I was a newly caged animal that rushed about"

correction: "I was like a newly caged animal that rushed about"

“I was a newly caged animal, rushed about”

My question... please answer asap

Answers

Answer:

slope=1/4

y-intercept=3

y=.25x+3

Step-by-step explanation:

slope=rise over run so

slope=1/4

y-intercept is the value of y where the line crosses the y axis..

y-intercept=3

In y=mx+b form m is slope and b is y-intercept so...

y=.25x+3

2 1/4 yd x 1/4 yd
stuck, please help

Answers

Answer:

9/16 yd^2

Step-by-step explanation:

2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2

help me please i’ll give you brainliest

Answers

Answer:

He should have canceled x

The answer is the last one. He should have canceled x

Complete the sentence.
9 is 36% of

Answers

Answer:

3.24

Step-by-step explanation:

9 takes up 3.24 of 36%

Answer:

9 is 36% of 25

Step-by-step explanation:

36%×x=9

36/100×x=9

x=9×100/36

x=25

56. The zip code of a location consists of five digits chosen from the set Z shown below.
Z= {0, 1, 2, 3, 4, 5, 6, 7, 8,9}
The set L represents the digits in the zip code for Key Largo.
L = {3,3,0,3,7)
The set K represents the digits in the zip code for Killarney.
K= {3,4,7,4,0}
How many odd numbers are in the set "(L UK)?

Answers

Answer:

2 I.e 3 and 7

Step-by-step explanation:

(L U K)={0,3,4,7} [ elements are not repeated in set ]

odd numbers = 3 & 7

an influencer had 400 subscribers in January. The number of subscribers have grown by a factor of 1.5 every month since then. write a sequence that represents the number of subscribers for the three months that followed (january through april)

Answers

Answer:

y=400(1.5)^4

Step-by-step explanation:

Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please

Answers

Answer:  58 .23

Step-by-step explanation:

Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is

a 45% chance they'll win.

Trigonometric ratios can be used with any type of triangle.
O
True
O
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

AB is the mindset of the trapezoid. Find the value of X.

Answers

Answer:

AB has a bad mindset :(

X is valued a lot bc he helps out AB

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.

Answers

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480

How long did it take Jason to reach his maximum height?

Answers

Answer:

5 seconds

Step-by-step explanation:

I did the same question a while ago.

Please help I need it soon

Answers

Answer:

[tex](3 \times 12) + (3 \times 3 \times 0.5)[/tex]

Step-by-step explanation:

answer is 40.5 . please like my answer and brainliest me HSHSSHSHS

20% of _____ is 18

what is the blank

Answers

Answer:

90

Step-by-step explanation:

HELP PLEASE! I WILL GIVE BRAINLIEST

Answers

Answer:

13.89

Step-by-step explanation:

A^2+B^2=C^2

7^2+12^2=C^2

193 = C^2

193 square root = 13.89

In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain constant. The death rate is projected to increase from 56 million per year in 2012 to 80 million per year in 2040 and to continue increasing at the same rate.
(a) Assuming the death rate increases linearly, write a differential equation for P(t), the world population in billions t years from 2012.
(b) Solve the differential equation.
(c) Find the population predicted for 2050.

Answers

Answer:

[tex](a)\ \frac{dP}{dt} = 0.078- 0.000857t[/tex]

[tex](b)\ P = 0.078t- 0.0004285t^2 + 7.02[/tex]

[tex](c)\ 9.37\ billion[/tex]

Step-by-step explanation:

Given

In 2012

[tex]P(t) = 7.02\ billion[/tex]

[tex]R_1 = 134\ million/year[/tex] --- Birth rate

[tex]R_2 = 56\ to\ 80[/tex] -- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

[tex]\triangle P= Birth - Death[/tex]

[tex]\triangle P= 134 - 56[/tex]

[tex]\triangle P = 78[/tex] million

From 2012 to 2040, we have the death rate per year to be:

[tex]Rate/yr = \frac{80 - 56}{2040 - 2012}[/tex]

[tex]Rate/yr = \frac{24}{28}[/tex]

[tex]Rate/yr = \frac{6}{7}[/tex] million/year

So, the differential equation is:

[tex]\frac{dP}{dt} = \triangle P - Rate/yr * t[/tex] where t represents time

[tex]\frac{dP}{dt} = 78 - \frac{6}{7} * t[/tex]

[tex]\frac{dP}{dt} = 78 - \frac{6t}{7}[/tex]

Express in millions

[tex]\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}[/tex]

[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]

Solving (b): The solution to the equation in (a)

[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]

Make dP the subject

[tex]dP = (0.078- 0.000857t)dt[/tex]

Integrate both sides

[tex]\int dP = \int (0.078- 0.000857t)dt[/tex]

[tex]P = \int (0.078- 0.000857t)dt[/tex]

This gives:

[tex]P = 0.078t- \frac{0.000857t^2}{2} + c[/tex]

[tex]P = 0.078t- 0.0004285t^2 + c[/tex]

Solve for c.

When t = 0; P = 7.02

So, we have:

[tex]7.02 = 0.078*0- 0.0004285*0^2 + c[/tex]

[tex]7.02 =0-0 + c[/tex]

[tex]7.02 =c[/tex]

[tex]c = 7.02[/tex]

So:

[tex]P = 0.078t- 0.0004285t^2 + c[/tex]

[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]

Solving (c): The population in 2050

We have:

[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]

In 2050, the value of t is:

[tex]t = 2050 - 2012[/tex]

[tex]t = 38[/tex]

So, the expression becomes

[tex]P = 0.078*38- 0.0004285*38^2 + 7.02[/tex]

[tex]P \approx 9.37\ billion[/tex]

Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers

Answers

Answer:

Step-by-step explanation:

28 : 50 and 15 : 30

14 : 25 and 1 : 2 are not equivalent

Isaac's finish 7 heavy cleans every 5 minutes Ryan finish heavy 8 clean every 4 minutes how many more cleans did Isaac complete than
Ryan ​

Answers

Answer:

12 more cleans

Step-by-step explanation:

You need to make each person have done work the same amount of time that is a multiple of 4 and 5. The closest is 20. So multiply 5 to 8 cleans for Ryan and 4 to 7 cleans for Issac. 40 cleans for Ryan - 28 cleans for Issac = 12 more cleans for RYAN, not Issac.

Please help I will give brainlist thanks

Answers

Answer:

still need help?

Step-by-step explanation:

6 8ths -2 8ths thanks please explain to​

Answers

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Luis solved the following equation below: - x ^ 2 + 10x - 21 = y Line Line Line 1x = (- (10) plus/minus sqrt((10) ^ 2 - 4(- 1) * (- 21)))/(2(- 1)) 2x = (- 10 plus/minus sqrt(100 - 84))/- 2 3x = (- 10 plus/minus sqrt(16))/- 2 Line 4 x= -10 pm sqrt 4 -2 5x = (- 10 plus/minus 2)/- 2 Linedx = (- 10 + 2)/- 2 x = (- 10 - 2)/- 2 x = - 8/- 2 x = - 12/- 2 Line Line 7 Line 8 x = 4 x = 6 Did Luis solve the above function properly ? Justify why or why not and be specific (use the line numbers as reference

Answers

Answer:

Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)

[tex]\sqrt{x}[/tex] <-- pretty much like this one and is at the bottom of your brainly tab :)

It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6

Hope this helps :)

Step-by-step explanation:

Answer:

x = 7, x = 3

Steps:

-x²+10x-21 = 0

x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)

x = (-10±√(100-84))/-2

x = (-10±√16)/-2

x = (-10±4)/-2

x = (-10-4)/-2 , x = (-10+4)/-2

x = -14/-2 , x = -6/-2

x = 7 , x = 3

Luis did not solve the equation properly!

WALLAHI HELP ME PLEASE

Answers

9514 1404 393

Answer:

  (a)  yes

Step-by-step explanation:

Put the numbers in for x and y and see if you get a true statement.

  5 ≤ 2(4) +1

  5 ≤ 9 . . . . . . true

The point is a solution.

Can someone pls help me with this question

Answers

The answer will be C. -3
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