mr.rogers bought a computer that cost 2,500. the sales tax rate was 7% how much did he pay for the computer

Answer:

okay, but i need something to answer

Step-by-step explanation:

Answer:

Air conditioners are rated by the number of British Thermal Units (BTU) of heat they can remove per hour. Another common rating term for air conditioning size is the "ton," which is 12,000 BTU per hour.

Each air conditioner has an energy-efficiency rating that lists how many BTUs per hour are removed or “pulled out” for each watt of power it draws.

The efficiency rating for room conditioners is the Energy Efficiency Ratio, or EER.

The efficiency rating for central air conditioners, is the Seasonal Energy Efficiency Ratio, or SEER.

These ratings are posted on an Energy Guide Label, which must be conspicuously attached to all new air conditioners. Energy Star-labeled appliances mean that they have high EER and SEER ratings

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

Answer:

Data set A mean = 4

Data set B mean = 6.5

Step-by-step explanation:

Data set A:

3(3) + 4(2) + 5(3) = 32

32/8 = 4

Data set B:

5(4) + 6(4) + 7(4) + 8(4) = 104

104/16 = 6.5

Data set A mean = 4

Data set B mean = 6.5

Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;

For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :

Where , D = b² - 4ac (Discriminant)

Now , simplifying the equation :

[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]

[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]

[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]

[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]

Dividing both sides by -1 will yield :

[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]

Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204

Now, By quadratic Formula ;

[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]

m = slope of the line

b = y-intercept of the line

b = y-intercept of line

m = slope of line

Hope this helps! Have a nice day! God bless and stay safe.

A translation followed by a reflection

Answer:

D . (486 – 9 + 6) + (33 × 2)

Step-by-step explanation:

Which expression is equivalent to 486 – 9 + 6 + 33 × 2?

486 – 9 + 6 + 33 × 2

486 – 9 + 6 + 66

477 + 6 + 66

549

D . (486 – 9 + 6) + (33 × 2)

      477 + 6 + 66

               549

Hope this helps!

Answer:

C is the Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the larger rectangle is (4)(5)=20.

The area of the top left right triangle is (1/2)(2)(5)=5.

The area of the top right right triangle is (1/2)(2)(1)=1.

The area of the bottom right triangle is (1/2)(4)(4)=8.

So A = 20 - 5 - 1 - 8 = 15 - 9 = 6.

Answer:

234

Step-by-step explanation:

Man I don't know

Answer:

B

Step-by-step explanation:

Simply choose an x coordinate and plug it into the equations from the choices given.

i.e. where x=1

y=2(1)^2 - 4(1)

y= 2-4

y= -2

it can then be seen that where x=1 on the graph, y= -2 aligns perfectly

Answer:

B

Step-by-step explanation:

In y = 2x^2-4x, we put y = 0 to represent the intersection points on the x-axis of the graph. (Since y = 0 is always on the x-axis)

For 2x^2-4x = 0, using the quadratic formula, we get x = 0 and x = 2.

This matches the int. points on the graph.

Answer:

N=20

Step-by-step explanation:

Answer:

$28.89

Step-by-step explanation:

[tex]398.5\times7.25[/tex]%

Calculate
[tex]398.5\times0.0725[/tex]

Calculate the product or quotient

[tex]28.89125[/tex]

I hope this helps you

:)

Angle 4 is on a straight line with angle 2 meaning that the angle 4 plus Angle 2 is 180 degrees:

    Angle 2 + Angle4 = 180

     72 + Angle 4 = 180

         Angle 4 = 108 degrees

Hope that helps!

»f(x) = (x + 2)²

»f(5) = (5 + 2)²

»f(5) = 7²

»f(5) = 49✅

~Hello! I will try to help you!

•Given : -

•To Find : -

•Step-by-step explanation : -

[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]

»Just substitute the value 5 into the function f(x) above, then:-

[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]

With this it's done!

Answer:

D is how long until the canoe

Step-by-step explanation: I have no idea i just guessed

Answer:

Option A is the correct answer.

Step-by-step explanation:

First, look at the second equation. Get s and r onto the same side.

For simplicity, I will use x for r and y for s

Multiply the first equation by 3, and multiply the second equation by -4.

3(2x+8y=−4)

−4(7x+6y=8)

Becomes:

6x+24y=−12

−28x−24y=−32

Add these equations to eliminate y:

−22x=−44

x=2=r

Now we substitute this back in for the original equation

(2)(2)+8y=−4

8y=-8

y=-1=s

Option A is the correct answer.

Answer:

1quart 4cups =8quatcups

Step-by-step explanation:

thanks:)

Answer:

9

Step-by-step explanation:

2*4 + 1 = 9 cups

This is equivalent to 13 kilojoules.

=======================================================

Work Shown:

m = 65 kg = mass

v = 20 m/s = velocity

KE = kinetic energy

KE = (1/2)*m*v^2

KE = (1/2)*65*(20)^2

KE = 13000 joules

This can be written as 13 kilojoules since "kilo" means "1 thousand"

The abbreviation of the unit "joules" is the letter J.

Answer:

the answer is 29° because you have to subtract 61 from 90 and you will  get 29.

x = 29°

Answer:

The answer is 29°

Step-by-step explanation:

We are given a figure,

Here, we know that on straight line the sum of all angles is equal to 180°

So,

x + 90° + 61° = 180°

x + 151° = 180°

x = 151° – 151° = 180° – 151°

x = 29°

Thus, The value of x is 29°

x + 90° + 61° = 180°

29° + 90° + 61° = 180°

180° = 180°

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

Step-by-step explanation:

14/11-15/11

14-15/11

-1/11

Answer: A

Step-by-step explanation:

The triangles are similar by AA. Angles BPA and CPD are congruent because they are vertical angles, and angles ABP and CDP are congruent because all right angles are congruent.

»f(x) = (9 + 2x)²

»f(2) = (9 + 2(2))²

»f(2) = (9 + 4)²

»f(2) = 13²

»f(2) = 169✅

[tex]\\ \rm\hookrightarrow f(x)=(9+2x)^2[/tex]

f(2):-

put 2 inplace of x

[tex]\\ \rm\hookrightarrow (9+2(2))^2[/tex]

[tex]\\ \rm\hookrightarrow (9+4)^2[/tex]

[tex]\\ \rm\hookrightarrow 13^2[/tex]

[tex]\\ \rm\hookrightarrow 169[/tex]

Answer:The slope is 2 .

Step-by-step explanation: mark branlest if right!

Answer:

1/2

Step-by-step explanation:

In the attachment below