What is the slope of this graph

Answer:

P = 2288 W

Step-by-step explanation:

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

[tex]P\propto s^2[/tex]

or

[tex]P=ks^2[/tex]

Put s = 35, P = 1760 to find k.

[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]

Now put k = 1.43 and s = 40. So,

[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]

So, the new power is 2288 W when the speed is 40 m/s.

Answer:

473.2608 rounded to the nearest tenth Is 473.3

Step-by-step explanation:

Answer:

f(g(4)) = -2

Step-by-step explanation:

First, find g(4) by plugging in 4 as x into the function:

g(x) = 2x - 3

g(4) = 2(4) - 3

g(4) = 8 - 3

g(4) = 5

f(g(4)) can be found by finding f(5), since g(4) = 5

Find f(5) by plugging in 5 into the function:

f(x)= x - 7

f(5) = 5 - 7

f(5) = -2

So, f(g(4)) = -2

Answer:

146

Step-by-step explanation:

because 3times the cups is 36

so four times more 36

There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.

Let's assume the amount of sugar used in the recipe is represented by the variable "s."

According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:

Flour = 3s + 4

Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:

12 = 3s + 4

Subtracting 4 from both sides of the equation:

12 - 4 = 3s

8 = 3s

Dividing both sides by 3:

8/3 = s

s = 2.67

Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.

Now, we can find the amount of flour by substituting the value of sugar into the equation:

Flour = 3s + 4

Flour = 3(3) + 4

Flour = 9 + 4

Flour = 13

Therefore, there are 13 cups of flour in this recipe.

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Answer:

26 miles.

Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

24^2 + 10^2 = X^2

576 + 100 = X^2

√676 = X

26 = X

Thus, the distance between the two points is 26 miles.

Answer:

8ft

Step-by-step explanation:

Use similarity and congruence

AB/ED=AC/EF

3/6=4/X

CROSS MULTIPLICATION

3X=6*4

3X=24

X=8ft

Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

Answer:

98

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area:

Circumference:

Substitute values in area:

Circumference is:

Answer :

Statements :-

1. Segment XY is parallel to segment WV.

2. Angle 1 is congruent to angle 2.

3. Angle 3 is congruent to angle 1.

4. Angle XMY is congruent to angle VMW.

Reasons :-

1. Given

2. Given

3. Given

4. SSS (Side-Side-Side)

Hope this helps, thank you !!

cos(2θ) + sin²(θ) = 0

Half-angle identity:

cos(2θ) + (1 - cos(2θ))/2 = 0

Simplify:

2 cos(2θ) + 1 - cos(2θ) = 0

cos(2θ) = -1

Solve for θ :

2θ = arccos(-1) + 2nπ

2θ = π + 2nπ

θ = π/2 + nπ

where n is any integer.

Answer:

4/5

Step-by-step explanation:

Step-by-step explanation:

y = 25t + 250

y is the total amount

t is number of times babysitting

Answer:

[tex]x = 2 \\ y = 3[/tex]

[tex] - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ [/tex]

[tex] - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2[/tex]

[tex]y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3[/tex]

Step-by-step explanation:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 352

Answer:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 35

2

Step-by-step explanation:

9514 1404 393

Answer:

  48

Step-by-step explanation:

Evaluate each of the functions by putting the number where x is.

  [tex]g(x)=x^2-4\\\\g(-7)=(-7)^2-4=49-4\\\\\boxed{g(-7)=45}\\\\f(x)=x+4\\\\f(-7)=-7+4\\\\\boxed{f(-7)=-3}[/tex]

Then the difference is ...

  g(-7) -f(-7) = 45 -(-3) = 45 +3 = 48

Answer:

solution given;

g(x)=x²-4

f(x)=x+4

Now

g(-7)-f(-7)=(-7)²-4-(-7+4)=49-4+3=48

48 is a required answer.

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

Answer:

x = -7

Step-by-step explanation:

it’s right!

Answer:

30+11x−28x2

Step-by-step explanation:

it is 30+11x-28x2

4 2/3 think of how many time you can put 3 into 14 the section out the rest

Answer:

4 2/3

Step-by-step explanation:

the millers travled 4 2/3

9514 1404 393

Answer:

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Given:

Endpoint of segment AB are A(0,2), B(2,3).

Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6).

To find:

The scale factor of dilation.

Solution:

If a figure is dilated about the origin with factor k, then

[tex](x,y)\to (kx,ky)[/tex]

Using this rule, we get

[tex]A(0,2)\to A'(k(0),k(2))[/tex]

[tex]A(0,2)\to A'(0,2k)[/tex]

So, the image of A is A'(0,2k).

It is given that image of A is A'(0,4). So,

[tex]A'(0,2k)=A'(0,4)[/tex]

On comparing the y-coordinates from both sides, we get

[tex]2k=4[/tex]

[tex]k=\dfrac{4}{2}[/tex]

[tex]k=2[/tex]

Therefore, the scale factor is 2 and the correct option is B.

Dilation involves changing the size of a line

The scale factor is 2.

From the graph, the coordinates of AB are:

[tex]\mathbf{A = (0,2)}[/tex]

[tex]\mathbf{B = (2,3)}[/tex]

The coordinates of AB are:

[tex]\mathbf{A' = (0,4)}[/tex]

[tex]\mathbf{B' = (4,6)}[/tex]

Divide A' by A or B' by B to calculate the scale ratio (k)

[tex]\mathbf{k = \frac{A'}{A}}[/tex]

So, we have:

[tex]\mathbf{k = \frac{(0,4)}{(0,2)}}[/tex]

Expand

[tex]\mathbf{k = \frac{2(0,2)}{(0,2)}}\\[/tex]

Divide

[tex]\mathbf{k = 2}\\\\\\\\[/tex]

Hence, the scale factor is 2.

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Answer:

y = -1/2x + 4

Step-by-step explanation:

to answer this question you need to find the slope and the y-intercept

to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line

in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2

knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:

y = mx + b  and then plug the values in so find the y-intercept ('b')

5 = (-1/2)(-2) + b

5 = 1 + b

b = 4

put it all together:  y = -1/2x + 4

Answer:

ill say its c but im not that sure

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

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Answer:

0.0023 or 23 / 10000

Step-by-step explanation:

23% = 0.23

0.23 / 100 = 0.0023

Answer:

23

Step-by-step explanation:

anything over 100 s a percent

like 15/100 is 15%

Answer:Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 2/

5

to a improper fraction: 3 2/5 = 3 2/

5

= 3 · 5 + 2/

5

= 15 + 2/

5

= 17/

5

To find new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/

5

= 15/

5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Subtract: 33/

4

- 17/

5

= 33 · 5/

4 · 5

- 17 · 4/

5 · 4

= 165/

20

- 68/

20

= 165 - 68/

20

= 97/

20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Subtract: 7/

3

- 1/

4

= 7 · 4/

3 · 4

- 1 · 3/

4 · 3

= 28/

12

- 3/

12

= 28 - 3/

12

= 25/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seven thirds minus one quarter = twenty-five twelfths.

Subtract: the result of step No. 3 - the result of step No. 5 = 97/

20

- 25/

12

= 97 · 3/

20 · 3

- 25 · 5/

12 · 5

= 291/

60

- 125/

60

= 291 - 125/

60

= 166/

60

= 2 · 83/

2 · 30

= 83/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step , cancel by a common factor of 2 gives 83/

30

.

In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.

Step-by-step explanation:took a lot of time brainliest plz