Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

Answer:

Step-by-step explanation:

Given

Perpendicular line has negative reciprocal slope, so the slope is -1

The line in slope-intercept form is:

Using the given point, finding the y-intercept:

So the Werewolf's equation is:

Answer:

$60

Step-by-step explanation:

48/4=12

12*8=60.

So you'd pay 60 dollars for 8 movie tickets. ^^

Answer:

Fraction

Step-by-step explanation:

Tell me if im wrong

Answer

in this case its a fraction

Step-by-step explanation:

the give away in this question is that it says part of a whole. this just means what amount of the whole. for example 1/2

pls mark brainleist

Answer:

yeah watch my hero academy One punch man n Naruto also Dragon Ball Z

Answer:

It’s not really an amine but avatar the last airbender

Step-by-step explanation:

Attack on titan

One punch man

the devils a part-timer

Answer:

Step-by-step explanation:

The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]

and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]

and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

Hence, resulting matrix

[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

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Answer:

5

Step-by-step explanation:

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Answer:

Absolute change = 7.4 million

Relative change percentage = 85.1%

Step-by-step explanation:

Given that:

Number of refugees in 2005 = 8.7 million

Number of refugees in 2015 = 16.1 million

The absolute change :

(Number of refugees in 2015 - number of refugees in 2005)

(16.1 million - 8.7 million) = 7.4 million refugees

The relative change in the number of refugees :

((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%

[(16.1 - 8.7) / 8.7] * 100%

(7.4 / 8.7) * 100%

0.8505747 * 100%

= 85.057%

= 85.1%

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Answer:

Hello!

Step-by-step explanation:

Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3

Answer:

B

Step-by-step explanation:

Answer:

13.5 units^2

27/2 units^2

Step-by-step explanation:

multiply 27/5 and 5/2

the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2

Answer:

C. I think I'm not sure

Step-by-step explanation:

38.88 is the correct answer

i have the answer below i got 100%

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

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Answer:

4.99 divided by 18

0.277222222

Rounded to $0.28

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

Answer:

x=19

Step-by-step explanation:

14x-43=71+8x         problem

14x=114+8x           add 43 to both sides

6x=114              subtract 8x from both sides

x=19                 divide by 6 to both sides (114/6 =19) x=19

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

Answer:

90 pairs

Step-by-step explanation:

We can use clues from the problem in order to set up our inequality.

First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.

That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:

[tex]8.5p\geq 765[/tex]

Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.

[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]

Stephanie needs to sell at least 90 pairs of earrings.

Hope this helps!

Answer:

x=2, And i think the 2nd one is reflexive

Step-by-step explanation:

Answer 5/3

Explanation

Slope formula   m = y2 - y1  - Rise

                                x2 - x1   - Run          

10 - 5  =    5

6-3     =     3  

I know this is correct. I am not sure why this isn't one of the answers.