The power, P(watts), of a car engine is proportional to the square of its speed, s(m/s).
When s=45 P=2200.
Work out the speed (to 1 DP) when the power is 1890 watts

Answers

Answer 1

The speed of the car is 41.7 m/s when the power is 1890 watts.

What is Proportion?

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

To learn more about Proportion, click:

https://brainly.com/question/11240259

#SPJ1


Related Questions

Factor 28z–32. what is the factor??????

Answers

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

The answer is 4(7z - 8)

The following equation is true because of the distributive property, YES or NO.

2(y + 5) = 2y + 10

Answers

The answer is yes.

Step-by-step explanation:

The number outside the bracket gets multiplied with both the numbers inside the bracket.

What is the missing numerator?


blank over seven minus three-eighths equals twenty-seven fifty sixths


4

5

6

7

Answers

Answer:

6

Step-by-step explanation:

6/7 - 3/8= 27/56

Answer:

it is 6

Step-by-step explanation:

8. The area of a rectangular fence is 500 square feet. If the length of the
fence is 25 feet, then find its width.

Answers

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Can someone help me pls

Answers

Slope is -3/2.

Equation in slope intercept form is: y=-3/2-2

Equation in point slope form is:
y+2=-3/2x-3/2.

If you want the un simplified version of the equation in point slope form it is: y- -2= -3/2(x+1)

Hope this helps!! :)

What is the solution?

Answers

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

f(x)=-3x^2 find f(-2)

Answers

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

calls for
1
4
4
1

cup of sugar and
2
3
3
2

cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.

Answers

Answer:

Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar

solve by factoring x^2+5-14=0

Answers

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

6)$$;6?6?6?6gvhxhtfi

Use the example as a model. Simplify the expressions.
t^37=?

i
-i
1
-1​

Answers

Answer:

Step-by-step explanation:

[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]


[tex] \: \: \: [/tex]

help me po

1.) if mHO =150° and mPO =80° what is the m∠HEO?


2.) if mMT =140° and mMHT =220° find m∠ MAT


answer 3-4 only

need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported​

Answers

Answer:

b. secantc. 45°d. 35°d. 40°

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

What does this graph represent?
Question options:
not moving
acceleration
constant speed

Answers

Answer:

A or C

Step-by-step explanation:

Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False

Answers

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ7

this is due in less the 30 minutes and this is my last question on the assignment please help and show work. will give brainliest

Answers

Answer:

22,100

Step-by-step explanation:

Answer:

the answer in 18,300

Step-by-step explanation:

2 x 3 5/8= 7 1/4

7 1/4 +1 9/10= 9 3/20

9 3/20 / 2= 18 3/10

18 3/10 x 1000=18,300

1. write a mathematical expression that explains the following sentence:

The sum of 4 and d, then multiply the result by 2

Answers

Answer:

(4 + d) × 2

Step-by-step explanation:

2(4+D)

Use pemdas to evaluate the equation

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

Answer:

A is the best answer to give

BRAINLIST ???

Answer:

C a line that shows the set of all solutions to the equation

Step-by-step explanation:

y = -4x+7  is the slope intercept form of a line

The slope is -4 and the y intercept is 7

I need help with these questions. Thanks!​

Answers

Answer:

47.27°44.22°

Step-by-step explanation:

Q1)

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

Q2)

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

need help
on this problem

Answers

Answer:

4.6

Step-by-step explanation:

23/5=4.6

Solve this equation

(X+1)/4 = x/2

Answers

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?

Answers

Answer:

how many kids are in each class though

Find the 75th term of the arithmetic sequence -21, -10, 1

Answers

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)

Answers

Answer:

Yes it is possible

Step-by-step explanation:

let a = 10.3, b =5.8 , c= 4.6

a+b= 16.1>4.6=c

b+c=5.8+4.6=10.3>10.3=a

c+a=4.6+10.3=14.7>5.8=b.

HELP ASAP!!!
x3+y3+z3

Answers

Answer:

= k

Step-by-step explanation:

Properties of Exponents-
Simplify (4a⁵b⁶)⁴ ​

Answers

~exponent

===========================

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²b² ✔️

~ nice to help you ^^

☆Answer :

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²b²

plss help po
grade 11 student topic​

Answers

Answer:

1. f(3) = 11

2. f( 1 ) = 6

3. f(-2) = -5

Step-by-step explanation:

Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3.  However, I will provide the correct answer for question 3, as your reference.

In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).

1. f(x) = 2x + 5, find f(3).

To evaluate the given linear function, simply substitute x = 3 as an input into the function:

f(3) = 2x + 5

f(3) = 2(3) + 5

f(3) = 6 + 5

f(3) = 11

Therefore, the value of f(x) = 2x + 5 given f(3) is:  f(3) = 11.

2. f(x) = x² + 2x + 3, find f(1)

Similar to question 1, substitute x = 1 as the input of the given quadratic function.

f(x) = x² + 2x + 3

f( 1 ) = ( 1 )² + 2( 1 ) + 3

f( 1 ) = 1 + 2 + 3

f( 1 ) = 6

Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.

3. f(x) = 3x² + 5x - 7, find f (-2)

If evaluated properly, the correct answer is: f(-2) = -5.

how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y

Answers

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

What are the x and y -intercepts for the equation 5x - 4y = 10

Answers

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2

5/7 of a number is 55
work out the number.
please help with this question

Answers

Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

The answer is 77

typingthistogettothe20charactercap

Find the solution set of this inequality. Enter
your answer in interval notation using grouping
symbols.
| 2x+3 | <= 3

Answers

Answer:

-3 ≤ x ≤ 0

Step-by-step explanation:

2x + 3 ≤ 3

2x ≤ 0

x ≤ 0

-2x - 3 ≤ 3

-2x ≤ 6

x ≥ -3

Other Questions
Determine the range of the following graph: Can someone please help me!! Q; write the sentence as an equation. 251 is equal to 130 added to q While all states that provide massage therapy licenses require attendance in a massage program, which of thefollowing is not a requirement in a few states? A stomp rocket takes 3.1 seconds to reach its maximum height.What was its maximum height? week 9 classwork pt 2 Can you help me I have a basketball game Tuesday and if I dont pass I cant play plz !! I need help with this what is 4x58 Use the distributive property toexpand the expression below.6(2a 3) = [?]a - [ ] Mercurys natural state is where the atoms are close to each other but are still free to pass by each other. In which state(s) could mercury naturally exist? Determine whether the inverse of F(x) is a function. Which sentence best supports the inference that Einstein understands the political power that Germany had over its people prior and during WWII? *A. Growing restriction of the range of public information under the pressure of military secrecy. B. Subtle indoctrination of the public by radio, press, and schools. C. The belief seemed to prevail that in the end it would be possible to achieve decisive military superiority.D. The maxim which we have been following during these last five years has been, in short: security through superior military power, whatever the cost. Why did Louis and Mary Leakey choose Olduvai Gorge as the place to spend decades doing their research GIVING BRAINLIEST!! people with mental health problems, and can not prescribe medication?PsychiatristTrusted adultCounselorNeurologist Choose the word or phrase that best answers each question.Which city is located in southern Africa? What country is the city of Cairo located in?Which country in Africa is an island? 2/-2.5+4.1+1.2(3+6)/-0.1 What change will occur if liquid gallium is removed from a hand [tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5 the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm? Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm all graphs range from -10 through 10 ;)