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

Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

wbv wncwic wndv envne jcsid ejshf vuia csiubc wcbu

Answer: 409

Step-by-step explanation:

67x6+(35÷5)

402+7= 409

Answer:

409

Step-by-step explanation:

all u do is do 35 divided by 5 which =7

then you do 67 times 6 which = 402

then you do 402 + 7 which = 409

Answer:

5 in

Step-by-step explanation:

Answer:

y= 6

Step-by-step explanation:

16-10

=6

6+6

= 12

Answer:

[tex]x=\frac{5}{k}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\text{log}_{3^k}243=x[/tex]

By using the law of logarithm,

[tex](3^k)^x=243[/tex]

[tex]3^{kx}=243[/tex]

[tex]3^{kx}=3^5[/tex]

By comparing exponents on both the sides of the equation,

[tex]kx=5[/tex]

[tex]x=\frac{5}{k}[/tex]

Therefore, [tex]x=\frac{5}{k}[/tex] will be the answer.

Answer:

(-8, -7) in 3rd Quadrant

Step-by-step explanation:

(-8, -7) in 3rd Quadrant

(8,7) in 1st Quadrant

(8, -7) in 4th Quadrant

(-8, 7) in 2nd Quadrant

Thus, (-8, -7) in 3rd Quadrant

-TheUnknownScientist

Answer:

Right; 5 Units

Down; 3 Units

Step-by-step explanation:

Self explanitory, please correct me if I made a typo, mistake in answer, etc.

Answer:

right 5 units and down 3

Step-by-step explanation:

just take a point and count how many spaces it goes moving it to its corresponding point on the new image

Answer:

Time = period of loan

Interest amount = $15

Interest rate = 10%

Step-by-step explanation:

Given:

Charge on loan = interest = $15

Interest rate on loan = 10%

Loan period = 2 weeks

The interest formula is given by the relation :

Interest = Principal * rate * time

Using the interest equation given :

The known variables Given in the question are :

Time = period of loan

Interest amount = $15

Interest rate = 10%

Answer:

$7.90

Step-by-step explanation:

Its is double both so u double $3.95

Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon

Given:

PQRS is a rectangle.

[tex]PS=5\ cm,\ PR=13\ cm[/tex]

To find:

The length of SR and QS.

Solution:

We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].

According to the Pythagoras theorem, in a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem in triangle PRS, we get

[tex]PR^2=PS^2+SR^2[/tex]

[tex]13^2=5^2+SR^2[/tex]

[tex]169-25=SR^2[/tex]

[tex]144=SR^2[/tex]

Taking square root on both sides.

[tex]\sqrt{144}=SR[/tex]

[tex]12=SR[/tex]

So, the measure of SR is 12 cm.

We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,

[tex]PR=QS[/tex]

[tex]13=QS[/tex]

Therefore, the length of SR is 12 cm and the length of QS is 13 cm.

Answer:

10ft.

Step-by-step explanation:

1yd = 3ft.

3yd = 9ft. + 1ft= 10ft.

Answer:

I think the answer is 3.04800

or just 10ft.

Answer:

17.5

Step-by-step explanation:

[tex]15^{2}+9^{2}= 306\\[/tex]

[tex]\sqrt{306} = 17.5[/tex]

Answer:

x ≈ 17.5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 15² = 81 + 225 = 306 ( take the square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

yes its correct

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Answer:

8 students in each van, 22 students in each bus

Step-by-step explanation:

Let's say v is number of students in each van

and b the number of students in each bus.

Let's make the equations:

8v + 8b = 240

4v + 1b = 54

8v + 8b = 240

v + b = 30

b = 30 - v

now let's use b = 30 - v and insert it into 4v + 1b = 54

4v + (30 - v) = 54

3v + 30 = 54

3v = 24

v = 8

b = 30 - v = 30 - 8 = 22

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

Step-by-step explanation:

Perimeter of a square with side a:

P- dependent value, 4- constant of proportionality, a- variable

When a = 11 cm,

Answer:

Step-by-step explanation:

Constant of proportionality is 4

Answer:

5:9

Step-by-step explanation:

20÷4=5

36÷4=9

If you divide 20 by 4 you get 5. If you divide 36 by 4 you get 9. You need to be able to divide each number in the ratio by the same number. In this case, that number is 4. You can tell that this ratio (5:9) is in simplest form because 5 is a prime number and cannot be simplified any more.

If you want to check this divide the ratio by 2 two times. Or just divide it by 4 once.

20÷2=10 → 10÷2=5

36÷2=18 → 18÷2=9

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

Answer:

-16/3

Step-by-step explanation:

I am not sure if you are aware of this but I am not sure if you are aware of the fact

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Answer:

I don't know what the options are, but my equation is (1/4) * n = 9

Step-by-step explanation:

n yards

Each strip = 1/4 yard

9 bracelets made

9 = (1/4) * n

Answer:

LETTER C. PO 40 ang sagot

Answer:

f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)

Step-by-step explanation: