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

PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links

Find the value of the monomial.
5x^3 for x = 0.5

Answers

Answer:

⁵/₈

Step-by-step explanation:

x = 0.5

5x³ = 5(¹/₂)³

5x³ = 5(¹/₈)

5x³ = ⁵/₈

(7.9×108)–(7.53×108)
put in scientfic notation

Answers

Answer:

3.996x10

Step-by-step explanation:

7.9x108 = 853.2

7.53×108 = 813.24

853.2-813.24=39.96

not sure how many sig figs there are supposed to be though

3.996x10 has 4 sig figs

y=6x-4 y=4x+2 substitution pls help plsplslsl​

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 3 , 14 )

Equation Form:  x  =  3 , y  =  14

Step-by-step explanation:

What are the values of m and n

Answers

Answer:

[tex]m=20°; n=45°[/tex]

Step-by-step explanation:

Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]

Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?

Answers

Answer:

45 minutes

Step-by-step explanation:

Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk

[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]

Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.

[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]

Done.

PLEASE HELP IT’S DUE TMR!!

Answers

4856

1.07

12.9

7.00

0.00199 (199)

0.000660 (660)

:)

the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court​

Answers

Answer: L = 59 feet, W = 29.5 feet

Step-by-step explanation:

Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court.  We'll assume it is rectangular.

We know that the P of the rectangle is 2L+2W:  

 P = 2L+2W

We also are told that:

 L = 2W

We can use this definition of L in the forst equation:

P = 2L+2W

P = 2*(2W)+2W

P = 6W

P = 177 feet

Therefore 177 ft = 6W, and

W = 29.5 feet

The total for the length is 177 - 2W, or (177 - 59) ft

2L = (177 - 59)

2L = 118

L = 59 feet

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?

Answers

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.

Based on the above information, the calculation is as follows:

[tex]= 1000 \times 3.5\% \times 3[/tex]

= 105

Learn more: https://brainly.com/question/14279491?referrer=searchResults

Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12

A) 6+3x < 12

B) 6-3x < 12

C)12<6+3x

D) 12 < 6-3x


***All of them have a line underneath the <****

Answers

Answer:

Step-by-step explanation

c

Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =

When x = -1, the value of y is

When x = 0, the value of y is

When x = 1, the value of y is

Answers

When x = -1, the value of y is -2.6

When x = 0, the value of y is -2.2

When x = 1, the value of y is -1.8

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

To learn more on Rectangles click:

https://brainly.com/question/20693059

#SPJ5

can somebody help like rn

Answers

Answer:

4

Step-by-step explanation:

(25-18+5)/4=4

(insert the variables)

2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

Answer:

Step-by-step explanation:

Combining like terms occurs at this step:

3x - 6 + 6 = 3 + 6

Combining the - 6 + 6 =and 3 + 6 yields:

3x = 9

Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + = 0
A. -6.7 + 6.8 B. -6.7 + ( - 6.6) C. 7.2 + ( -7.2) D. 7.2 + (-7.3)

Answers

we have -4.5 + 4.4 + x = 0

<=> -0.1 + x = 0

<=> x = 0.1 ( P/s: x is the answer to fill in the blank )

Now look in the answer below we have :

+) A. -6.7 + 6.8 = 0.1 (S)

+) B. -6.7 +(-6.6) = -13.3 (NS)

+) C. 7.2 + (-7.2) = 0 (NS)

+) D. 7.2 + (-7.3) = -0.1 (NS)      ( P/s: NS : not selected , S : selected )

So A is the correct answer

Ok done. Thank to me :>

Answer:it is D

Step-by-step explanation:

The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51

6. What is the percent of increase from 10 to
12?
A. 20%
B. 25%
C. 30%
D. 33
33%

Answers

Answer:

A. 20%

Step-by-step explanation:

% Increase = 12−10/10x100

= 2/10x100

= 20%

Mark me as brilliant

Answer
A. 20%
Explanation: I bet u get it right

Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36

Answers

The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).

The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.

Hint:

Every row will have 4 numbers, 1 in each bubble which will give us 100.

The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100

The rest of the arrangement is shown in the figure 2 attached below. (See attachment).

Learn more here:

https://brainly.com/question/7043752

Please help! I will give points <3

Answers

-261 you are welcome

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

3 candidates run for president of the club and 5 candidates run for vice-president. How many different possibilities for

filling the two positions are there?

b. 5

c. 8

d. 3

a. 15

Answers

5 I think… yes I think it’s 5.

Please help me, I’m stuck on this question.

Solve
3h/7 − 11 =2 23/28

Solve for h, and provide your answer.

Please include explanation and all your steps toward the answer

Thank you!

Answers

3h/7-11=2×23/28

h=25/2

Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).

Answers

Answer:

8684787

Step-by-step explanation:

To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.

Answers

Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km

OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD

Answers

90

Step-by-step explanation:

because it has a parallel line

1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?

Answers

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

solve the following equations step by step


x + 7 = 4​

Answers

[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]

Since your answer is ' 11 '

hope it was helpful for you ~

Answer:

Thank you for points

Step-by-step explanation:

Thank you

Can anyone solve the problem on the picture?

Answers

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)

Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.

Answers

[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]

Solve the equation for x.

x-8 = 2​

Answers

Answer:

x=10

Step-by-step explanation:

here are 8 cardsthere is a number on each of these 6 cards

Answers

Answer:

I don't know

Step-by-step explanation:

sorry I apologize

Other Questions
PLS FAST!! WILL GIVE BRAINLIEST!! 30 POINTS!! About one-third of Americans will suffer from an anxiety disorder at some point in their lives. About one-quarter will experience a serious depressive episode. Although therapy can reduce symptoms of depression and anxiety, many people do not seek professional help.What internal factors might make people more or less likely to seek help? Internal factors might include the persons mood, thought patterns, energy levels, feelings of hopelessness, attitudes toward mental health providers, and so on.What external factors might make people more or less likely to seek help? External factors might include time, cost, the attitudes and expectations of friends and family, and so on.Given these factors, what changes in our society might lead more people to seek help? What exactly is the dog doing? Explain your answer and give at least 2 pieces of evidence. What did Dona marina preform in the service of Hernan Cortes? I NEED HELP IDENTIFYING THE STAGES!!! PLZ HELP!!! Interphase, Prophase, Metaphase, Anaphase, or Telophase 2. EVALUATING Which actdid the British pass to try toprevent smuggling? How didthis act and other trade lawsthreaten the personal rightsof colonists? The colonists protested the Stamp Act and created the Stamp Act Congress. Later the King reversed or canceled the Stamp Act. Which termbelow best describes what the King did to the Stamp Act?O BoycottRepealO TreatyO Petition Suppose that the radius of a sphere is divided by 9. What happens with the surface area? 9.2 less than 3 times a number is the same as 21 1/4 who is athena.and what good did she do The thermometer bulb should have____a) high heat capacityb) No heat capacityc) Small heat capacityd) Varying heat capacity The graph of a function is shown: Which choice is equivalent to the expression below? 5 SQR7-4x SQR7-xSQR7A. 0B.-2xSQR7C.-X^2D. 5 SQR 7 -5xSQR7 a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a. What security feature on a smartphone prevents the device from being used until a passcode is entered? 1.What is an opinion?2.Why do we need to use opinion marking signals?PA HELP PO PLSS Youre pretty Without (c)You are du(m)b Which is an x-intercept of the graph of the What is the value of y in y = 2x - 5, when x = 3.9? Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,... Find the exact value of the expression below Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees