The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
20
,
P
=
2000
.
Work out the speed (to 1 DP) when the power is
1960
watts

Answers

Answer 1

Answer:

30

Step-by-step explanation:


Related Questions

Find the area of the SHADED region.
Round to the nearest TENTH if necessary.

Answers

Answer:

112

Step-by-step explanation:

18×8= 144 for the area of the entire rectangle.

4×4= 16/2=8 for the area of the triangle.

8×4=32 because there are 4 triangles.

144-32=112 because you don't want the area of the triangles only the shaded area

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4

Answers

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.
What is the height of the cylinder?

__cm

Answers

The height of the given cylinder is 39 centimeters.
Step-by-step explanation: Given : The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters

Answer:

13 cm

Step-by-step explanation:

just took the test

Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.

Answers

Answer:

Interior angles are congruent.

Step-by-step explanation:

We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.

Angles 3,6 are opposite and do not share the same vertex.

Similarly angles 4 and 5 do not share the same vertex.

They are congruent.

If we look closely we see that angles 3 &4  and angles 5&6 are supplementary angles.

i.e they together make up the 180 degrees on the straight line.

On  the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles

which also make supplementary angles on the parallel lines.

From the diagram we see that

∠ 5= ∠7  

and

∠6 = ∠ 8

as the corresponding angles are equal

∠8=∠3

∠7=∠4

As they are opposite angles

Similarly

∠1=∠6

∠2=∠5  ( opposite angles)

From above

∠5=∠7

but ∠7= ∠4

therefore

∠ 5= ∠4-----------------A

Also

∠6 = ∠ 8

but ∠8=∠3

therefore

∠6=∠8----------------------B

From An and B we conclude  interior angles are congruent

Please help me ASAP!!!

Answers

Answer:

the third one (2,-18)

Step-by-step explanation:

How many significant figures are in 609.80

Answers

There are 5 significant figures.

Pls help I’ll give brainliest

Answers

Answer:

5

Step-by-step explanation:

GUYS SINCE YOU ARE SMART AND IM NOT HELP PLEASE

Answers

X = 2010/16is the same as12.5/20Please let me know if I am wrong.

Solve these equations: tan^2x-3tanx+2=0

Answers

Let u be the value of tan(x) and that the equation above may also be written as,
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.

6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x) ​

Answers

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

I know this is in german but i really really need help...

Answers

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.

The volume of the sand pile is approximately___ cubic feet.

Use 3.14 for pi. Do not round your answer.

Answers

7736.4uhshshszszehzeehe

select the compound inequality shown on the graph.

Answers

it's C i don't really have an explanation but notice me if you need one

Find the area of the given triangles. please and thank you

Answers

Answer:

6cm squared

Step-by-step explanation:

to find the area of a triangle, it is base x height divided by 2

4 x 3 = 12

12 divided by 2 = 6

A cylinder with height of 4 meters has a volume of 2,827.43 cubic meters. Find the length of the diameter.

Answers

Answer: 30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

Help please I’ll mark you brainliest!!

Answers

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres? Explain?

Answers

Answer:

196 square meters

Step-by-step explanation:

If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.

L=14 W=14

14x14=196

There are 196 square meters

A cylindrical soup can has a diameter of 3.8 in. and is 5.4 in. tall. Find the volume of the can.

Answers

Answer:

the volume of the can is 61.21 cubic inches

Step-by-step explanation:

Given that

The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches

And, the height of the cylindrical soup is 5.4 inches

We need to find out the volume of the can

As we know that

The volume of the can is

[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]

Volume = 61.21 cubic inches

Hence, the volume of the can is 61.21 cubic inches

We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2

Answers

Answer:

70/2

Step-by-step explanation:

We have a population of 200 people

Growth rate = 2%

How long it will take for the population to double

Double the population = 2× 200 = 400

The formula for Exponential growth =

y = a(1 + r)^t

y = Value at time t = 400

a = Initial value = 200

r = 2% = 0.02

t = ?

Hence:

400 = 200 ( 1 + 0.02)^t

Divide both sides by 200

400/200 = 200 ( 1 + 0.02)^t/200

2 = (1.02)^t

Take logarithm of both sides

log 2 = log(1.02)^t

log 2 = t log 1.02

t = log 2/log 1.02

t = 35.003417942

Approximately t = 35

We have so many formula to calculate doubling time

t = 70/Growth rate

From the above question

Growth rate = 70/2%

= 35

Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2

Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3

Answers

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?

Answers

75% of the bracelets are blue

Answer:

75%

Step-by-step explanation:

We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.

To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.

[tex]\frac{9}{12}[/tex]

Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :

[tex]\frac{9/3}{12/3}[/tex]

[tex]\frac{3}{4}[/tex]

Divide 3 by 4 :

[tex]3/4 = 0.75[/tex]

Multiply 0.75 by 100 to get our percentage :

[tex]0.75 * 100 = 75[/tex]%

what is 4 1/2 plus 6 2/5

Answers

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

18.6 in

Which is the best approximation for the measure of angle

EGF?

32.8°

40.2

OOO

49.8°

57.2

Answers

Answer:

The answer is "[tex]40.2^{\circ}[/tex]"

Step-by-step explanation:

Please find the graph file.

Let

[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]


x2 + 4
Select all that apply



Answers

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?

Answers

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Brainliest?

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

i need help asap please

Answers

Answer:

1. 1570

2. can't see properly

3. can't see properly

4. 392.5

5. 615.4

6. 6049

7. not clear can't see

8. 1589

9.:1570

Solve the algebraic expression , is it equivalent?

Answers

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

Please answer ☻
Convert the following number to a percentage find the value that belongs in the box.
333 = __%

Answers

Answer:

3 (or 3.33)

Step-by-step explanation:

333 as a percent is 3.33

this rounds down to 3, so 3 is your answer

What is the standard form of a trinomial?

Answers

Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

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