An office building has three air conditioning units, one for each office. Each unit runs only when employees are
working. The tables below show the number of hours employees worked at each office over a three-month period
and the total air conditioning electric costs for the entire office for each month.
June
July
August
Number of Hours Worked
Unit A
Unit B
184
207
174
198
168
189
Unit C
276
264
242
w
Total Air Conditioning Electric Costs
June
$142.60
July
$135.96
August
$128.30
How much does it cost to run Unit A per hour?

Answer:

6000 a month

Step-by-step explanation:

Answer:

The ball makes the field goal.

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of motion is -45.999º or 314.001º.

Step-by-step explanation:

According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:

[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)

[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.

[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.

[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.

[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:

[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)

[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)

From (Eq. 1b):

[tex]t = 3.170\,s[/tex]

And from (Eq. 2b):

[tex]y = 7.847\,m[/tex]

Therefore, the ball makes the field goal.

In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:

[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)

[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)

Where:

[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.

[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.

If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:

[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]

[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]

[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]

[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]

The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:

[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)

Where [tex]v[/tex] is the magnitude of the final velocity of the ball.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:

[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]

[tex]v \approx 18.166\,\frac{m}{s}[/tex]

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of the final velocity is given by this trigonometrical relation:

[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)

Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:

[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]

[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]

The direction of motion is -45.999º or 314.001º.

Answer:

No

Step-by-step explanation:

There is an x value that has two y values. If you were to graph this function, it would not pass the vertical line test.

Answer:

$7 per person.

Step-by-step explanation:

21/4 $5.25

Answer:

$5.25

Step-by-step explanation:

4 people = $21

1 person = $21/4 = $5.25

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

Answer:

7 hours

Step-by-step explanation:

56/8=7

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

Answer:

y = -3x + 12/2

Step-by-step explanation:

Step 1: Add -x to both sides

x + 2/3 + -x = 4 + -x

2/3y = -x + 4

Step 2: Divide both sides by 2/3

2/3y ÷ 2/3 = -x + 4 ÷ 2/3

y = -3x + 12/2

Answer:

You get 17.80 cents back

Step-by-step explanation:

4.5 times 0.49 is 2.20 cents

20 minus 2.20 is 17.80 dollars

Answer:

the moment of take-off

Step-by-step explanation:

it is in-between before and after take off

I believe that the answer to this the moment before take off.

Hope this helped and have a wonderful day!

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

Answer:

Group 4

Step-by-step explanation:

Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.

Was this the question or did you make a mistake with the numbers?

Answer:

35

Step-by-step explanation:

Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.

Answer:

-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )

-Not being concerned or cautious about ESD

-Do not over torque / over tighten screws.

-Not giving yourself enough room to build

-Not using a magnetic tray when building

Answer:

Parts

GEFORCE RTX 2060 SUPER this is a good graphics card for 399

intel core i5 is a pretty good budget processer

I recomend a nzxt case they are pretty good

these are only some parts but these are pretty good budget

Answer:

-4

Step-by-step explanation:

Answer:

7. +6

8. -2

9. +1

10. +2

11. -4

12. +4

13. -3

14. -2

15. +1

16. -5

17. -5

18. 0

Step-by-step explanation:

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Answer:5

Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.

I had the same question on my homework.

Answer:

Area = 1829.87

Step-by-step explanation:

Finding slope:

Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1

I choose (4,3) and (2,2)

2-3 divided by 2-4

= -1/2

Then to get the y intercept you use the formula: y=mx+b

For the x and y pick a cordinate to plug in. For m plug in your slope.

I pick (6,4)

4=-1/2×6+b

Multiply -1/2 and 6 to get -3 and plug that in

4=-3+b

Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7

7=b

Y-intercept =7

Now plug in the slope and y-intercept into the slope intercept format and get:

Y=-1/2x+7

Answer: 8 3/6= 17/2

4 3/8=35/8

2 2/4=5/2

9 4/5 =49/5

7 2/3= 23/3

Step-by-step explanation:

To convert a mixed number to a improper fraction you multiply the whole number part by the fractions denominator then you add that number to the numerator then you write the number on top of the denominator

Answer:

8988890

Step-by-step explanation:

oijhjkhk

Answer:

1/6, 2/5, 3/7, 3/5

Answer:

$150 billion in total will be spent on both Internet Advertising and TV Advertising.

$0.6 million more will be spent on Internet Advertising than TV.

Let TV Advertising expenses be x.

Expression will be;

x + (x + 600,000) = 150,000,000,000

2x = 150,000,000,000 - 600,000

x = (150,000,000,000 - 600,000) / 2

TV Advertising = $74,999,700,000

Internet Advertising

= TV Advertising + 0.6 million

= 74,999,700,000 + 600,000

= $75,000,300,000

9514 1404 393

Answer:

  16.05 cm

Step-by-step explanation:

Each bracelet will be 1/5 of 1/2 of the chain, so is

  (1/5)(1/2) = 1/10

of the original length of the chain.

  1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet

Answer:

I thinkkk its Option 2

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

The line is linear and the y-intercept hits at -1 so option 2 is correct.

Answer:

=36

Step-by-step explanation:

Step-by-step explanation:

for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....

so we have to multiply 3×3×4

=36

so if we divide 36 by 3 ,4 OR 9

we will not find any remainder

Answer:

no

Step-by-step explanation:

it is rational because it is a terminating decimal

No 0.875 , it is rational It can be expressed as the quotient of two integers.

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios made up of integers.

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

No, 0.875 a irrational number.

Learn more about irrational number here;

https://brainly.com/question/28973373

#SPJ6

Answer:

9

Step-by-step explanation:

just do 27 divided by 3

Answer:

9

Step-by-step explanation:

9 × 3 = 27 or 27 ÷ 3 = 9