The power, P (watts), of a car engine is proportional to the square of its speed, s(m/s) When s= 30 P= 1500 Work out the speed (to 1 DP) when the power is 1715 watts

Answers

Answer 1

Answer:

S = 32.1 m/s

Step-by-step explanation:

P = 1,500

S = 30

since P is proportional to S², then we must first determine S² = 900

900 / 1,500 = S² / 1,715

(900 x 1,715) / 1,500 = S²

1,543,500 / 1,500 = S²

S² = 1,029

S = √1,029 = 32.08 m/s ≈ 32.1 m/s


Related Questions

True or false is a relation in which each y value has only 1 x value

Answers

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

what are those equations simplified

Answers

1. w^8v^3z

2. 13d^3g^6

3. c^2m^4p^6

4.5k^6m^2

Which number is missing from the following prime factorization expression? 792 = __ x 2 x 2 x 2 x 3 x 11 A. 2 B. 3 C. 5 D. 7

Answers

Answer:

3

Step-by-step explanation:

Evaluate 2 x 2 x 2 x 3 x 11 (better written as 2·2·2·3·11, because "x" is a variable name, not a math operator).

2·2·2·3·11 = 8·33 = 264

Then divide 792 by this 264 to find the final factor:

final factor = 792/264 = 3

Then the prime factorization of 792 is 2·2·2·3·3·11

which we obtained by multiplying 2 x 2 x 2 x 3 x 11 by 3.

Answer:

i agree, 3 is the answer

Took same test

Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.

Answers

Answer:

[tex]x=9.6cm[/tex]

Step-by-step explanation:

[tex]x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm[/tex]

Which of the following relations is a function?
A: {(0, 0), (0, 2), (0,5)}
B: {(2, 5), (2,0), (0,5)}
C: {(5, 2), (2, 5), (5, 0)}
D: {(0, 0), (2, 0), (5,0)}

Answers

D because there are none of the same domain factors
DOMAIN: {0, 2, 5}
RANGE: {0,0,0}

Help me please I need help

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]l = R \times \alpha [/tex]

[tex]l = length \: \: of \: \: the \: \: arc[/tex]

[tex]R = radius = 13 \: \: km[/tex]

[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]

Hint :

[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]

Thus ;

[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]

_________________________________

[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]

[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]

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PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT!

Answers

Answer:

k=42

Step-by-step explanation:

Answer:

k = 42

Step-by-step explanation:

That's a right angle, indicated by the square. A right angle is 90 degrees.

To find [tex](k+1)[/tex], we need to subtract 47 from 90. 90 - 47 = 43.

To find k, we subtract 1 on both sides. k = 42.

HELPPPPPP!!!!!!!Select the correct locations on the graph.
Select the lines that represent functions.

Answers

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?

Answers

Answer:

420

Step-by-step explanation:

If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.

Answer:

Step-by-step explanation:

The answer is 420

Round 10,982 to the nearest thousand

Answers

11,000 - rounded to the nearest thousand!

Answer: 11,000 - rounded to the nearest thousand!

on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do

Answers

Answer:

0.295

Step-by-step explanation:

you needed to subtract 2.175-1.88=0.295

14. Which set of side lengths can be used to prove the statement below is false?

"In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides."

a) 4 cm, 5 cm, 7 cm

b) 5 cm. 12 cm 13 cm

c) 3 cm, 4 cm, 5 cm

d) 9 cm, 12 cm, 15 cm​

Answers

Answer:

a) 4 cm, 5 cm, 7 cm

Step-by-step explanation:

The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.

To find a counter example, we can try with the options and see which one works as a counterexample:

a) 4 cm, 5 cm, 7 cm

The longest side is 7cm, then the statement says that:

4^2 + 5^2 = 7^2

16 + 25 = 51

while 7^2 = 49

Then for this particular set of sides, the statement is false.

So we already found the counter example, because:

4^2 + 5^2 ≠ 7^2

The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;

Option A; 4 cm, 5 cm, 7 cm

To answer this question, let us look at each option;

Option A; 4 cm, 5 cm, 7 cm

Thus; 4² + 5² = 51 and 7² = 49

Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.

Option B; 5 cm. 12 cm 13 cm

Thus; 5² + 12² = 169 and 13² = 169

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option C; 3 cm, 4 cm, 5 cm

Thus; 3² + 4² = 25 and 5² = 25

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option D; 9 cm, 12 cm, 15 cm​

Thus; 9² + 12² = 225 and 15² = 225

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Read more at; https://brainly.com/question/16175002

16. Write the following in standard form
36505000
pls need ans. fast ​

Answers

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

Find the average retail price for a 4-year old V6 four-door sedan with air conditioning, power mirrors, leather seats, power sunroof, and aluminum wheels. It has been driven 42,510 miles?

Answers

Answer:

$8502

Step-by-step explanation:

you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.

What is the domain and range please?

Answers

Answer:

domain is all the values that go into a function, and the range is all the values that come out.

Answer:

Domain: -6 <= x <= 3 and Range -9 <= y <= 5

Step-by-step explanation:

Domain is x

Range is y

(x, y)

The smallest x is -6

The largest x is 3

The smallest y is -9

The largest y is 5

50 POINTS !!! Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the
value of ?
O 8
O 11
19
30

Answers

Answer:

Step-by-step explanation:

Just add 19 and 11 and you will get your answer!

HOPE THIS HELPS!

Answer:

da answer is 30

Step-by-step explanation:

Edna runs at a speed of 9 miles per hour. How many miles per second is her speed?

Answers

Answer:

To convert any value in miles per hour to miles per second, just multiply the value in miles per hour by the conversion factor 0.00027777777777778. So, 65 miles per hour times 0.00027777777777778 is equal to 0.01806 miles per second. so the answer is 0.0025

Step-by-step explanation:

pls help me
(answer choices)
a: 134
b:46
c:136
d:43

Answers

Answer:

i wanna say its 136 but im not completely sure

C: 136

I hope this helps!!!

8. The graph of a linear function is shown on the grid. Which equation is best represented by this graph? (A.2C)

a) y+2= 7/5(x+7)
b) y-2= 7/5(x-7)
c) y+2 = 5/7(x+7)
d) y-2 = 5/7(x-7)​

Answers

Answer:

option A is correct if operation A is correct make me as brainleylist

The answer would be A

Evaluate the expression 4(x - 3) + 7 using x=2

Answers

4x - 12 + 7
4x - 5
4(2) - 5
8 - 5
the answer is 3

Answer:

3

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

x=2 4(2-3)+7

P: (2-3)=-1

E:

M: 4(-1)=-4

D:

A: -4+7= 3

S:

4(2-3)+7=3

9,051.7 divided by 5=?

Answers

Answer:

1810.34

Step-by-step explanation:

Just use a calculator

A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

Answers

Answer:

why is your profile therealeisha1

Step-by-step explanation:

i love her so much

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set? The box will go from 10 to 12. A line dividing the box will be at 12. The left whisker will go from 4 to 15. The right whisker will go from 12 to 20.

Answers

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

Please help! It’s already late! Help asap!

Answers

Answer:

B will be correct answer

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as v=sh. Rewrite the
equation so that the height is a function of the area of base and the volume (solve for
the height), then find the height when the area of base is 8 and the volume is 48.

Answers

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]

So, the height of the tetrahedron is 6 units.

divide 70 in the ratio 2:5​

Answers

Answer:

Step-by-step explanation:

20:50

How do you write this in index form?

Answers

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?

the velocity of a falling body varies directly as the time of flight if the velocity of the falling body at the end of two seconds is 64.4ft/s find the velocity at the end of 5 seconds

Answers

Answer:

Step-by-step explanation:

If the velocity of a falling body varies directly as the time of flight, this is expressed as;

v α t

v = kt

k = v/t

If at t = 2secs, v = 64.4ft/s

k = 64/2

k = 32 ft

To get the velocity at the end of 5 secs, we will say;

at t = 5secs v = ?

From the formula;

v = kt

v = 32(5)

v = 160ft/s

Hence the required velocity is 160ft/s

In the number 0.02415, the 4 is located in the _____ place.

thousandths
hundredths
ten thousandths
tenths

Answers

It is in thousandths place

Step-by-step explanation:

thousandths

0.004 =

[tex] \frac{4}{1000} [/tex]

Please Help & Please Answer This Correctly(Worth 20 Points!)

If only one-quarter of the earth's surface is not covered by bodies of water, and only one half of that exposed land area is inhabitable for humans (because of poles, deserts, etc.), what fraction of the earth's surface can humans live on?

Answers

Answer:

So on the one hand, you could say from these results that 10% of Earth is inhabited by humans. Or you could take a more glass half-empty view and say that 90% of Earth is covered by humans – either populated or connected with an ever-expanding network of roads, train tracks, highways, farms and industrial land.

Step-by-step explanation:

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