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

Jason purchased three different sizes of candy at the store. The
medium candy was twice as expensive as the small candy. The large
candy was $5 more than the medium candy. He spent a total of $30 on
candy. Write and solve an equation to determine the cost of the small
candy.

Answers

Answer: $5

Step-by-step explanation:

Let the small candy be represented by x.

The medium candy was twice as expensive as the small candy. This will be: = 2×x = 2x

The large candy was $5 more than the medium candy. This will be: = 2x + 5

Since Jason spent a total of $30 on

candy, the cost of the small candy will be:

x + 2x + 2x + 5 = 30

5x + 5 = 30

5x = 30 - 5

5x = 25

x = 25/5

x= 5

The small candy cost $5

find the value of x in each triangle. show your work on a separate piece of paper

Answers

Answer:

x = 70°

Step-by-step explanation:

the interior angle which is supplemental to 140° is 40°

the sum of the interior angles of any triangle is 180°

so:

180° = 40° + 2x

subtract 40° from each side of the equation:

2x = 140°

x = 70°

Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?

Answers

Answer:

48.1 cubic meters or 48100000 cubic centimeters

Step-by-step explanation:

Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75

Volume of Cylinder=Pi×radius squared×height

Lastly 3.14×1.75×1.75×5=48.1

I hope this helps you in any way:)

Select the table that represents a linear function. (Graph them if necessary.)
Ο Α. | xo
1 2 3
y 11 8 5 2
B. x 0
X 0 1 2 3
y 0258
C. X 0
1 2 3
y 10974
O D. X 0 1 2 3
y 8 6 6175
HELP !!!!!

Answers

Answer: D

Step-by-step explanation:


Find the missing angle

Answers

Answer: 110 degrees

Step-by-step explanation:

30+40=70

180-70=110

The line m has a slope of 4. What is the slope of a line perpendicular to line m?

Answers

Step-by-step explanation:

Given

Slope (m1) = 4

As it is said that the lines are perpendicular so we have

m1 * m2 = - 1

4 * m2 = - 1

m2 = - 1/4

The slope of the line perpendicular to line m is

- 1/4

Hope it will help :)❤

Answer:

The slope of the perpendicular line is -1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

Let the slope of the perpendicular line have sloe p

m*p = -1

4 * p = -1

Divide each side by 4

p = -1/4

The slope of the perpendicular line is -1/4

Terry has a box of craft beads.
• 11 are green
• 27 are yellow
• 24 are blue
• 38 are red
What percent of the beads are red?

Answers

Answer:

38% of the beads are red

HELP PLEASE!! Alita is 2 times as old as Jiro. Jiro is 4 years younger than Erik. Erik is 1/3 as old as dawn. The sum of all their ages is 72 What equation could you write to represent this situtation????

Answers

Step-by-step explanation:

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

or

1/3d - 4 × 2 =72

let d = dawn

let e = erik

let j = jiro

let a = alita

remember that a number next to a variable means multiplication.

The equation could  write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

What is equation?

An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13.  These are the expressions  2x – 5 and 13.The sign connecting these two expressions is "=".

In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.

Equations are different, for example:

Linear equations Quadratic equations Cubic equations Quartic equations Differential equations Parametric equations

Let us suppose ,

age of Erik is e

dawn is d

Jiro is j

Alita is a

The equation could write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

To learn more about equation, refer;

https://brainly.com/question/10413253

#SPJ2

Q1 - Finding simple interest
Find the simple interest on a loan of:
£7500 borrowed for 6 years at a
rate of 12% p.a.
interest = £

Answers

Answer:

£ 5400

Step-by-step explanation:

P = £ 7500

r = 12% = 0.12

t = 6 years

Simple Interest = P*r*t

                         = 7500 * 0.12 * 6

                         = £ 5400

If 400,000 tourists contribute $67 million to a local economy, how much would 600,000 tourists contribute?

Answers

Answer:

[tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.

Step-by-step explanation:

Given that,

400,000 tourists contribute $67 million to the local economy.

We need to find how much would 600,000 tourists contribute.

400,000 tourists = $67 million

1 tourist = [tex](\dfrac{67}{400,000 })\ \text{million}[/tex]

So, 600,000 tourists contribution is :

[tex]600000\ \text{tourists}=(\dfrac{67}{400,000 })\times 600000\ \text{million}\\\\=100.5\ \text{million}[/tex]

Hence, [tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.

Someone help please? its late.

Answers

Answer:

It would be 10 units

you can use the midpoint formula.

Maia walks 12 miles. Then she walks 1/4 of that distance.

Answers

Answer:

12×0.25 is definitely right

×0.25 is another way of finding a quarter of something. I looked at the other answers and I think this one is the only correct one

Richard rolls a fair dice 420 times.
How many times would Richard expect to roll a four?

Answers

70 times, because there is one four, giving him the change of 1/6

Can anyone help me will give you the brainliest

Answers

Answer:

256.76inch²

Step-by-step explanation:

area of square = side × side

6.4 × 6.4 = 40.96

number of squares = 6

6×40.96=256.76

6 sides , each is 6.4*6.4

40.96*6

245.76in

It costs $525 for seven adult tickets and twelve youth tickets to the hockey game. If the difference in price between an adult ticket and a youth ticket is $18.00, find the cost of each kind of ticket.​

Answers

Answer:

adult ticket $39 and youth ticket $21

Hope it helped

PLS mark BRAINLIEST

a basketball player made 62 out of 100 attempted free throws. what percent of free throws was made?

Answers

Answer:

62%

Step-by-step explanation:

This is bc a percent is out of every 100, so an equation we can make is 62/100 = x/100, therefore bby solving this equation:

you get x = 62%

Hope this helps

Answer:

345

Step-by-step explanation:

what ratios is equivalent to 6/7

Answers

Answer:

6:7

12:14

24:28

Step-by-step explanation:

The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.

A type of fish for your aquarium costs ​$7 each. You can spend ​at most $56. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.Over the next 13 months you have to read more than 65 books. You have to read x books per month. The inequality 13x>68represents this situation. Solve the inequality to find the number of books you have to read per month.

Answers

Answer:

x  <= 8 ... you can buy a max of 8 fishes

6 books or more per month.

Step-by-step explanation:

Given the information provided, we can create the following inequality which multiplies the cost per fish ($7) by the number of fish we can buy (x) and it has to be less than or equal to $56

7x <= 56

We can now solve this inequality by isolating x

7x <= 56  ... divide 7 on both sides

x  <= 8   ... you can buy a max of 8 fishes

-----------------------------------------------------------------------------------------------------------------

13x > 68  ... divide both sides by 13

x > 5.23

Since the number of books needs to be a whole number then we round this decimal up to 6. Meaning that you must read 6 books or more per month.

Is it a function or not a function?

Answers

Answer:

Not a function

Step-by-step explanation:

there's two 9's

it is not a function since there is two nines in x column

please only answer if you know the correct answer and answer all question please please please please please

Answers

Answer:

Part A: B) 3

Part B: $40

4. -1

7. 5x + 6y

8. Part A: y = 20x

8. Part B: $300

9. e > 12000 pounds

Step-by-step explanation:

Part A: x = 5t + 5

20 = 5t +5

15 = 5t

t = 3

Part B: x = 5t + 5

x = 5(7) + 5

x = 35 +5

x = 40

4. 24 - 5^2

24 - (5*5)

24 - 25 = -1

7. 2x + 4y + 5 + 2y - 5 + 3x

2x + 3x = 5x

4y + 2y = 6y

5 + (-5) = 0

5x + 6y

8. Part A:

Total = y

Lawns = x

Amount = $20

so y = 20x

8. Part B:

y = 20x

y = 20(15)

y = 300

9. The elephant weighs more than 12000 pounds

Elephant = e

More than =  >

Pounds = 12000

e > 12000 pounds

Are all parallel lines congruent?

Answers

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.

please help me! i'll mark you brainliest
20 points, (maths)

Answers

Answer:

5/6 of the time or 50 minutes

Step-by-step explanation:

What’s the slope to this graph?

Answers

Answer:

1

Step-by-step explanation:

rise/run = 1/1 = 1

When a standard die is rolled, find the probability of getting a. 5 b. A number larger than 2 c. An odd number.

Answers

Answer:

P(getting a 5)=[tex]\frac{1}{6}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When a standard die is rolled, we get sample space as {1,2,3,4,5,6}

So, let's use formula

P(E)=[tex]\frac{outcomes favorable to event E}{Total number of outcomes}[/tex]

For part A:

Event is getting a 5.

So, out of 6 samples , we get one 5 as outcome

So,

P(getting a 5)=[tex]\frac{1}{6}[/tex]

For part B:

The numbers larger than 2 are {3,4,5,6}

So, p(number larger than 2)=[tex]\frac{4}{6} =\frac{2}{3}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

For part C:

The numbers which are odd are {1,3,5}

So, p(numbers which are odd)=[tex]\frac{3}{6 } =\frac{1}{2}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the mountains, h, in this mountain range.

Answers

Answer:

D, far apart from each other.

Step-by-step explanation:

The inequality that represent the heights of the mountains in the given range is h < 20,000

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, the heights of the mountains in a mountain range are less than 20,000 feet.

We need to write an inequality to represent the height of the mountain ranges,

Since, the height is less than 20,000,

Therefore, the inequality =

h < 20,000

Hence, the inequality that represent the heights of the mountains in the given range is h < 20,000

Learn more about inequality click;

https://brainly.com/question/30231190

#SPJ3

Solve this and get Brainliest :)

Answers

Answer:

Step-by-step explanation:

In 2.5 seconds, a projectile goes from 50 m/s to 800 m/s, heading southwest. What is the acceleration of the projectile?

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

[tex]m = \frac{10}{ - 5} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.

how many times does the divisor 4 divides into 324

Answers

Answer:

81 times

Step-by-step explanation:

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

Find the missing angle.

(look at the picture)

Answers

Answer: 45

Step-by-step explanation:

59 + 76= 135

180-135= 45

Answer:

m∠1 = 45 degrees

Step-by-step explanation:

All triangles have the interior angle of 180

to find the missing angle, take the known angles and add them together:

76 + 59 = 135

then take the sum and subtract it from 180:

180 - 135 = 45

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