The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work out the power when the speed is 25 m / s

Answers

Answer 1

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt


Related Questions

Calculate the length of the side LN given the following data for 37°.

Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754

pls help ASAP

Answers

Answer:

It is given that,

Sin 37° = 0.602

Cos 37° = 0.790

Tan 37° = 0.754

To find:

The length of side LN.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]

Using this in triangle LMN, we get

[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]

[tex]0.602=\dfrac{6}{LN}[/tex]

[tex]0.602LN=6[/tex]

Divide both sides by 0.602.

[tex]LN=\dfrac{6}{0.602}[/tex]

[tex]LN=9.966777[/tex]

[tex]LN\approx 9.97[/tex]

Therefore, the correct option is C.

Pickle cannot get the cart up the ramp. In order to be successful he should

make the ramp longer.


make the ramp shorter.


make the ramp steeper.


back up and begin with a running start.

Answers

Answer: Make the ramp longer

making the ramp shorter and making the ramp steeper would be the same, and backing up wouldn't really help

Pickle should make the ramp longer in order to be successful.

Option A is the correct answer.

What is a ramp?

The ramp refers to a sloped surface that connects a lower level to a higher level.

We have,

- A longer ramp will provide a more gradual slope, which will make it easier for the cart to move up the ramp.

- If the ramp is too short,

The slope will be too steep and it will be difficult to push the cart up.

- Making the ramp steeper will also make it more difficult to push the cart up.

- Starting with a running start may provide some initial momentum, but it will not address the underlying problem of the ramp being too short.

Thus,

Pickle should make the ramp longer in order to be successful.

Learn more about the ramp here:

https://brainly.com/question/12023500

#SPJ2

Help I just want to know if this is cos, sin, or tan?

(This is geometry)

Answers

Answer:

it's cosine

Step-by-step explanation:

cos45° = x/17

cos = adjacent / hypotenuse

cos 45° = x/17

17 cos 45° = x

x = 12.0202...

x = 12.0 (nearest tenth)

Please help me solve this

Answers

Answer:

1st pic:

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

2nd pic:

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

1st pic:

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

2nd pic:

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

HELP PLSSS ITS DUE NEXT 5MINS!!!!! (AS MUCH AS YOU CAN DOOO!!!!!!!!!!!!)​

Answers

simplify the expressions #3
a) 6+2y-3+4y
=3+6y
b)16+t-2s+12
=18+t-2s
c)3w-6v+4v-100
=3w-2v-100
d)79t+50-30t-3
=49t+47
all i can do for now

What is the next term of the geometric sequence?

48,-36,27....

Answers

Answer:

-15 is the next number in the sequence

Mayson wanted to play his video games. His mother told him that he needed to finish his homework, walk the dog, and clean his room before playing video games. . He completed his homework in 48 minutes. He took 25 minutes to walk the dog. He took 75 minutes to clean his room. . There are 60 minutes in 1 hour. How much time did Mayson have to spend doing homework and cleaning before playing video games?​

Answers

Answer: 2 hours and 28 minutes

Equation: 48+25 = 72+75 = 148 min

Find the total amount of interest earned on this savings account.

Time: 7 years

Interest Rate: 2.5%

Principal: $4,556

Interest:

$79.73
$797.30
$7,973
$79,730

Answers

Answer:

$797.30 or B on egunty :

)

Answer:

The answer is B.$797.30 on Edge 2021

"Expand the brackets and simplify" (please i need help asap)​

Answers

ok, b)

you can times anything inside bracket by 8. so, 8r -40  + 12

You can simplify to 8r - 28.

d)

You can rearrange it to 6a + 12a -12/3 -15/3

= 18a - 27/3

Ling baked 72 cookies with 4 scoops of flour. With 5 scoops of flour, how many cookies ca
Ling bake? Assume the relationship is directly proportional.

Answers

Answer:

90

Step-by-step explanation:

Divide 72 by 4 you get 18 which is how many Ling baked with one scoop of flour. Then just add 18 to 72 and you get 90

Please help me with this 4.7 x 10^-1
as an ordinary number

Answers

Answer:

The answer is 0.47

Msmsmsmaka

Answer:

0.47

Step-by-step explanation:

47/100

hope it helps thank you

there is 12 apples 3/4 of he apples go missing how many apples are left

Answers

I think the answer might me 34
3
Because you can make 3/4 9/12 and if you just subtract 9 from 12 you get 3

Find it ! Find the perimeter

Answers

Answer:

P=60

Step-by-step explanation:

P=2(l+w)

P=2(14+16)

P=2(30)

P=60

Perimeter of a rectangle with 16in length and 14in width is 60 in.

Perimeter of a rectangle = 2(l+b)

here l = length and b= width

Given : l= 16 in and b= 14 in

perimeter = 2(l+b)

= 2(16+14)

= 2(30)

=60 inches.

The perimeter of rectangle is 60 inches

To learn more about perimeter refer to,

https://brainly.com/question/15287805

Emily needs 21 feet of wire. Andy needs 15 feet of wire. How much will each of them spend for wire?

Answers

Answer:

$540.

Step-by-step explanation:

Aprrox some wire cost $15. And 21 x 15= 315. And 15 x 15= 225, so you add and you should have $540.

Which of the following could be the interpretation of the distance vs time graph shown?
Which of these answers this Question, Is It 1, 2, or 3 that's in parentheses???


( 1.) A biker takes off on a course that begins with a small ramp. The biker bikes up a hill and across a flat portion of the course before heading down a steep descent.

( 2.) A driver leaver her house and slows down to make a stop at her neighbor's house. She then drives at a constant speed and stops at a house further down the street. After visiting with her neighbor, she quickly drives back home.

( 3.) A hiker begins hiking, but shortly after realized he left his water bottle in his car. He turns around to get his water bottle and then starts hiking again at a constant rate. The hiker stops for lunch at the furthest point of his hike and then hikes back at a quicker constant rate.

Answers

The slope of the curve is positive between the times t=0\text{ s}t=0 st, equals, 0, start a text, space, s, end text, and t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text since the slope is directed upward. This means the acceleration is positive.

The slope of the curve is negative between t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text, and t=8 \text{ s}t=8 st, equals, 8, start a text, space, s, end text since the slope is directed downward. This means the acceleration is negative.

At t=2\text{ s}t=2 st, equals, 2, start a text, space, s, end text, the slope is zero since the tangent line is horizontal. This means the acceleration is zero at that moment.

Concept check: Is the object whose motion is described by the graph above speeding up or slowing down at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?

[Show me the answer.]

What does the area under a velocity graph represent?

The area under a velocity graph represents the displacement of the object. To see why to consider the following graph of motion that shows an object maintaining a constant velocity of 6 meters per second for a time of 5 seconds.

To find the displacement during this time interval, we could use this formula

\Delta x=v\Delta t=(6\text{ m/s})(5\text{ s})=30\text{ m}Δx=vΔt=(6 m/s)(5 s)=30 mdelta, x, equals, v, delta, t, equals, left parenthesis, 6, start text, space, m, slash, s, end text, right parenthesis, left parenthesis, 5, start text, space, s, end text, right parenthesis, equals, 30, start text, space, m, end text

which gives a displacement of 30\text{ m}30 m30, start text, space, m, end text.

Now we're going to show that this was equivalent to finding the area under the curve. Consider the rectangle of the area made by the graph as seen below.

The area of this rectangle can be found by multiplying the height of the rectangle, 6 m/s, times its width, 5 s, which would give

\text{ area}=\text{height} \times \text{width} = 6\text{ m/s} \times 5\text{ s}=30\text{ m} area=height×width=6 m/s×5 s=30 mstart text, space, a, r, e, a, end text, equals, start text, h, e, i, g, h, t, end text, times, start text, w, i, d, t, h, end text, equals, 6, start text, space, m, slash, s, end text, times, 5, start text, space, s, end text, equals, 30, start text, space, m, end text

This is the same answer we got before for the displacement. The area under a velocity curve, regardless of the shape, will equal the displacement during that time interval. [Why is this still true when velocity isn't constant?]

\text{area under curve}=\text{displacement}area under curve=displacementstart text, a, r, e, a, space, u, n, d, e, r, space, c, u, r, v, e, end text, equals, start text, d, i, s, p, l, a, c, e, m, e, n, t, end text

[Wait, aren't areas always positive? What if the curve lies below the time axis?]

What do solved examples involving velocity vs. time graphs look like?

Example 1: Windsurfing speed change

A windsurfer is traveling along a straight line, and her motion is given by the velocity graph below.

Select all of the following statements that are true about the speed and acceleration of the windsurfer.

(A) Speed is increasing.

(B) Acceleration is increasing.

(C) Speed is decreasing.

(D) Acceleration is decreasing.

Options A, speed increasing, and D, acceleration decreasing, are both true.

The slope of a velocity graph is the acceleration. Since the slope of the curve is decreasing and becoming less steep this means that the acceleration is also decreasing.

It might seem counterintuitive, but the windsurfer is speeding up for this entire graph. The value of the graph, which represents the velocity, is increasing for the entire motion shown, but the amount of increase per second is getting smaller. For the first 4.5 seconds, the speed increased from 0 m/s to about 5 m/s, but for the second 4.5 seconds, the speed increased from 5 m/s to only about 7 m/s.

Example 2: Go-kart acceleration

The motion of a go-kart is shown by the velocity vs. time graph below.

A. What was the acceleration of the go-kart at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?

B. What was the displacement of the go-kart between t=0\text{ s}t=0 st, equals, 0, start text, space, s, end text and t=7\text{ s}t=7 st, equals, 7, start text, space, s, end text?

A. Finding the acceleration of the go-kart at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text

We can find the acceleration at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text by finding the slope of the velocity graph at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text.

\text{slope}=\dfrac{\text{rise}}{\text{run}}slope=  

run

Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger brother spent $230 on 8 new shirts and 10 pairs of shorts. The older brother purchased 8 new shirts and 4 pairs of shorts and paid a total of $116. How much did each item cost?

Answers

Answer:

Younger: 12.78 per item

Older: 9.67 per item

Step-by-step explanation:

Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.

Younger Brother:

8 shirts + 10 shorts = 18 items for $230

$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)

Older Brother:

8 shirts + 4 shorts = 12 items

$116 ÷ 12 items = about 9.67 per item (estimated again)

Mr. Foote's deck is 12 ft. 6 in wide. Its length is twice the width plus 3 more inches. How long is the deck?

Answers

Answer:

25 ft 3 in

Step-by-step explanation:

Mr foote deck is 12 ft 6 in wide

It's length is twice its width with additional 3 inches

Therefore the length can be calculated as follows

12 ft 6 in + 12ft 6 in + 3 in

= (12+12)ft (6+6)in + 3 in

= 24+1 3in

= 25 ft 3 in

Hence the length of the deck is 25 ft 3 in

I need help on this question thanks

Answers

Answer:

length of arc YPX=πrtheta /180

given radius =8m

= π(8)(360-90)/180=π(8)(270)/180=12πm

Mohsin, Yusuf and Luke are going to play a game.
At the end of the game, one of them will be in First place, one of them will be in
Second place and one of them will be in Third place.
Use the table below to list all the possible outcomes of the game.
First place
Second place
Third place

Answers

The possible outcomes of the game, in terms of first place, second place, and third place, are:

Mohsin, Yusuf, Luke

Mohsin, Luke, Yusuf

Yusuf, Mohsin, Luke

Yusuf, Luke, Mohsin

Luke, Mohsin, Yusuf

Luke, Yusuf, Mohsin

To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.

Using the table format, we can list the possible outcomes as follows:

Outcome 1: Mohsin, Yusuf, Luke

Outcome 2: Mohsin, Luke, Yusuf

Outcome 3: Yusuf, Mohsin, Luke

Outcome 4: Yusuf, Luke, Mohsin

Outcome 5: Luke, Mohsin, Yusuf

Outcome 6: Luke, Yusuf, Mohsin

Each outcome represents a different arrangement of the players in the first, second, and third places.

As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke

Luke, Mohsin, and Yusuf

Luke, Yusuf, and Mohsin

Mohsin, Luke, and Yusuf

Yusuf, Mohsin, and Luke

Mohsin, Yusuf, and Luke

These outcomes represent all the different ways in which the players can finish the game.

for such more question on permutations

https://brainly.com/question/28065038

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PLEASE HELP I DON’T UNDERSTAND PLEASE SHOW WORK TOO TY!!!

Answers

Answer:

5

Step-by-step explanation:

Plug in each number into the equation to its corresponding variable

So 9+6/3

Add the top numbers 9+6=15

now you have 15/3

Simplify 15/3

5

Find the greatest common factor of 15w2 and 25w3.

Answers

Answer:

5w^2

Step-by-step explanation:

Answer:

5w^2

Step-by-step explanation:

Write the equation of a
circle whose diameter has
endpoint (-3,0) and (3,0).

With steps please

Answers

if the diameter is -3 to 3 then the diameter is 6 so the radius is 3. the equation would be x^2 + y^2 = 9. fyi i found this somewhere else online. i do this a completely different way and am not sure if this is correct.

For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.

Answers

They will not intersect (I hope this helped)

URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Square Root of 85

4b. A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost for x months? *

Answers

The answer is 50x+200

answer:

the equation would be

200 + ( 50 * x ) = total cost

x is variable for the number of months  

but lets use the number 2 ( 2 months ) for example

200 + ( 50 * 2 ) =

using pemdas we solve what is in the parentheses first

50 * 2

= 100

then just add the following numbers since they are the only ones left over in the problem

100 + 200

= 300

now we know that in 2 months and if you chose this cell phone plan, you will have to spend 300 dollars even!

hope this helps you and if you ever need anymore help or just not understanding this topic then please feel free to ask me! :)

and just in cause you dont know what pemdas stands for,

parentheses, exponents, multiplication/division ( always start from left to right ), addition/subtraction ( and again always start from left to right )

Simplify: (2x3y5)3 Could you also explain how to do it?

Answers

Answer:

6x×9y×15

Step-by-step explanation:

that's the answear I got because you didn't add any math signs so assuming its all multiplication you take 3 and multiply it with each of the numbers with there variables

I don't know if you put the equation right but it's 18y^5

a person gain sp of 4 lemons by selling 20 lemon find profit percentage?​

Answers

Answer:

Question not Understood

Step-by-step explanation:

I am not understanding the question. Are they Gaining 4 lemons by selling 20? Did they buy 24 lemons, and sell 20 then keep the 4? please elaborate

210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
50 students are girls who want to go to the water park. 45 students are girls who want to go skating.
60 students are boys who want to go to the water park.
Water park Skating Total Boys
Girls Total
Answer the questions to analyze the data.
Boys: 60 want to go to the water park, 55 want to go skating. 115 boys total
Girls: 50 want to go to the water park, 45 want to go skating. 95 girls total

How many boys want to go skating?

Answers

55 boys want to go skating. For the template it is across it is 60,55, 115 for boys. For girls it’s 50,45,95. And for total it’s 110,100, 210

Can somebody please help me !!!!!!!!!47$4&

Answers

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

its 30 celsius! hope this helps:)

What is the answer, What is mCD?

Answers

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works

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The fireman were able to put _______ the fire in Church street. Item 6The prefix con- means "with."Based on this understanding, what can be inferred about the definition of the word consent?It is a topic that occurs in a series.It is the result of independence.It is a condition that cannot be negotiated.It happens when people agree with each other. Skyler goes to a school which has 1000 students in it.She asks 40 random students whether they like the new 8.30 am start to the day.30 of them say 'no' they do not like it.Use this information to estimate how many students in the whole schooldislike the 8.30 am start. ECONOMICSExamine the supply and demand schedules for headphones. How much would a seller charge if he or she wanted to sell headphones for their equilibrium price? A. $100 B. $50 C. $125 D. $25 ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample Does this graph represent a function? Why or why not?-10 -884O A. Yes, because it passes the vertical line test.O B. Yes, because it passes the horizontal line test.C. No, because it is not a straight line.D. No, because it fails the vertical line test. List 10 things that you wish someone had told you Read the following prompt and type your response in the space provided.The biography "'Equal Justice Under Law": Thurgood Marshall" and "On the Front Lines With Marshall: An Interview With Jack Greenberg" portray events in Thurgood Marshall's life.Compare and contrast the events described in the two texts. Make sure to use evidence to support your answer. You may refer to the texts. Hi! I need some help with this pleaseeee!!When two objects of different temperatures are placed in contact with one another, eventually: (choose one option from below)a) both their average kinetic energy and temperature will be the sameb) their average kinetic energy will be the samec) neither their average kinetic energy and temperature will be the samed) their temperature will be the same 3In 1847, Henry David Thoreau was sent to jail for refusing to pay taxes. What objection did Thoreauhave to paying taxes during this time?A He believed if you were not a property owner, you should not have to pay taxes.B He asserted that paying taxes was a form of cruel and unusual punishment. He refused to pay taxes because he failed to win a recent local electionHe opposed the use of tax money to support the U.S.-Mexican War.D 10 - 6z = -104 *pls help me how long is the shorter ladder pls answer quick plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Whats the value of x? plz help...match words in A with a grammar term in B. PLEASE HELLPP!!!!! Dont know what it is CORRECT ANSWER GETS BRAINLIESTto plot the point (-3,6), start at the origin and move three places down and six places right.(theres no graph) Graph the linear equation. Find threepoints that solve the equation, thenplot on the graph.3x - 4y = -18 1. True or false2. True or false Please help Which of these leadership qualities is MOST commonly associated with George Washington?A) his devotion to aboltionB) his ability to re-unify the countryC) his commitment to telling the truthD) his dedication to nonviolent protest