simplify -6i(8-6i)(-8-8i)

Answer: 3.017hp

Step-by-step explanation: 745.7watts = 1hp

2250watts will be (2250/745.7)hp

i.e 3.017watts

3.017 horsepower will be the value of the 2,250 watts of horsepower

Standardization and kinds of horsepower vary widely. Mechanical horsepower meaning around 745.7 watts, and the metric horsepower, which is roughly 735.5 watts, are two commonly used classifications today.  The horsepower is denoted by hp.

The value of 1 horsepower will be:

745.7 watts = 1 horsepower

Calculating the value of 2250 watts with respect to the horsepower

= (2250/745.7)

= 3.017 horsepower

Therefore, the value is  3.017 horsepower

Learn more about horsepower, here:

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Answer:

B & E.

Step-by-step explanation:

$25 is the y value, because she has to pay the fee no matter what.

Integers can be less than or equal to 8 because 65(8) + 25 is equal to 545, which does not exceed the budget.

Hope this helps!

Answer:

AE = 70

Step-by-step explanation:

Given that ACE is a triangle and B , D , F are mid-points of AC, CE, AE respectively.

⇒ BF, FD, BD are mid-segments.

Mid-segment is a line segment joining mid points of two sides of a triangle,

And it as two properties :

1) mid-segment is always parallel to the third side

2) mid-segment is half in length of the third side

⇒ Here, BD is the mid-segment and is parallel to third side AE

And also BD is half of AE

⇒ AE = 2×BD = 2×35

⇒ AE = 70.    

Answer:

  (x, y) = (-3 5/8, 1 5/16)

Step-by-step explanation:

Add y+14 to the second equation to get ...

  3.5x +14 = y

Substitute this for y in the first equation:

  2.5x -3(3.5x +14) = -13

  2.5x -10.5x -42 = -13

  -8x = 29

  x = -29/8 = -3 5/8

Using this in the formula for y, we get ...

  3.5(-29/8) +14 = y

  -203/16 +14 = y = 21/16 = 1 5/16

Answer : The value of x and y is, 4 and 27 respectively.

Step-by-step explanation :

The given equations are:

[tex]2.5x-3y=-13[/tex]       ...........(1)

[tex]3.25x-y=-14[/tex]      .........(2)

or,

[tex]y=3.25x+14[/tex]     ..........(3)

Now put equation 3 in 1, we get the value of 'x'.

[tex]2.5x-3y=-13[/tex]

[tex]2.5x-3(3.25x+14)=-13[/tex]

[tex]2.5x-9.75x-42=-13[/tex]

[tex]-7.25x=-13+42[/tex]

[tex]-7.25x=29[/tex]

[tex]x=-\frac{29}{7.25}[/tex]

[tex]x=-4[/tex]

Now put the value of 'x' in equation 3, we get the value of 'y'.

[tex]y=3.25x+14[/tex]

[tex]y=3.25(4)+14[/tex]

[tex]y=13+14[/tex]

[tex]y=27[/tex]

Therefore, the value of x and y is, 4 and 27 respectively.

Answer:

Live preview

Step-by-step explanation:

Live preview

When looking for a font name live preview is the real time view of how a font looks. Software which provides a live preview allows the person to see their font as it would appear if published, updated live as they make changes

Moving the pointer over font names in the font list displays a preview of the different font choices.

As you move the pointer over font names in the font list, the text on the slide displays a preview of the different font choices. This allows you to see how the text will look with different fonts before making a selection. It helps in making a decision based on the visual appearance of the text.

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Answer:

108 feet long

Step-by-step explanation:

You know that to find the perimeter you have to add up all the sides. A rectangle has 4 sides, so 30+30 is 60 and 24+24 is 48. Add 60 and 48 up and you get 108 as the perimeter. Since Madhu is hanging a string of flowers on the PERIMETER, the flower string will need to be 108 feet long.

Hope this Helped!

Answer:

a) ΔL = 80mm

b) h = 600 - 10w mm

Step-by-step explanation:

a. From the time when 7 L have been removed to the time when 15 L have been removed, the change in the volume has been 8L and how the height of the water decreases 10mm per liter removed, then the acumulate change in the height of water has been (8lt)(10mm/lt) = 80 mm

b) If w liters have been removed, then the change in the height of water is (10mm/lt)(wlt) = 10w mm and thus the water's height at this precise point in time is 600 - 10w mm

Answer:C) 4 feet and 12 feet

Step-by-step explanation:

The diagram of the first mural is shown. The formula for determining the perimeter of a rectangle is expressed as

Perimeter of rectangle = 2(L + W)

The length of the first mural is given as 8ft while the width of the first mural is given as 6 ft. The perimeter becomes

P = 2(8 + 6) = 2×14 = 28ft

The area of a rectangle is expressed as L×W

The area if the first mural would be

6 × 8 = 48ft^2

The second mural has the same area as the first mural but has a different perimeter. The side lengths of the second mural are

4 ft and 12ft

Area = 4×12 = 48 ft^2

Perimeter = 2(12+4) = 32ft

So area is the same and perimeter is different.

Answer:

minutes spent on phone (t) is directly proportional to the phone calls routed (p)  with equation [tex]t =26+2p[/tex].

Step-by-step explanation:

Given:

Number of minutes already spent = 26 minutes

Number of minutes expected to spend on each call = 2

Let number of calls routed be 'p'

Also Let number of minutes on the phone be 't'.

We need to find the relationship between phone calls routed and mins spend on the phone.

Solution:

Now we know that;

Total minutes spent on phone is equal to Number of minutes already spent plus Number of minutes expected to spend on each call routes multiplied by number of calls routed.

framing in equation form we get;

[tex]t =26+2p[/tex]

From above we can see that whenever p increases the value of t will increase too .

Hence we can say that minutes spent on phone (t) is directly proportional to the phone calls routed (p)  with equation [tex]t =26+2p[/tex].

Answer:

9 batches of tarts.

Step-by-step explanation:

This is  8 / (8/9)

= 8 * 9/8

= 9 batches of tarts.

If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.

Answer:

  8

Step-by-step explanation:

Since there are 3 (an odd number) ages, the median is the middle one. So, we know two of the ages are 10 and 15. In order for the mean of the three ages to be 11, their total must be 33. The total of the two known ages is 25, so the remaining one must be ...

  33 -25 = 8

The youngest child is 8.

Answer:

False. See explanation below.

Step-by-step explanation:

False

A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"

In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.

And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.

And we don't know if this information is obtained using any sampling frame or sampling methodology.  

Final answer:

About 76 or 77 people were at each showing of the Van Gogh film at the art museum.

Explanation:

The student's question asks about dividing the total attendance at a film showing into equal parts to find out how many people were at each showing. To solve this, we would take the total number of attendees, which is 459, and divide it by the number of showings, which is 6. This division is necessary to distribute the total equally among all showings.

Performing the division: 459 ÷ 6 = 76.5. Since you cannot have half a person attending, it suggests that the number of attendees per showing must either be rounded to 76 or 77, if we are dealing with whole numbers. However, since the exact division gives us 76.5, this suggests that the division of attendees was not perfectly even among all showings or requires rounding for an approximate answer.

Therefore, about 76 or 77 people were at each showing of the Van Gogh film at the art museum.

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

Work Shown:

Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.

2*(inscribed angle) = arc measure

2*(2x+2) = 76

4x+4 = 76

4x+4-4 = 76-4 ... subtract 4 from both sides

4x = 72

4x/4 = 72/4 ... divide both sides by 4

x = 18

Answer:

Step-by-step explanation:

2 × inscribed angle = 76

2 × (2x + 2) = 76

Open bracket

4x + 4 = 76

Collect like terms

4x = 76 - 4

4x = 72

Divide both sides by 4

4x/4 = 72/4

X = 18

Therefore X is Equal to 18.

Answer:

C

Step-by-step explanation:

We need to find the length of the red dotted line.

It is divided into 3 parts: the top, the middle slant, and the bottom

The top

Goes from y = 50 to y = 120, the length is:

120 - 50 = 70 units

The bottom

Goes from x = 60 to x = 120, the length is:

120 - 60 = 60 units

The middle slant

This is hypotenuse of the right triangle shown.

We will use Pythagorean Theorem to solve for this length, let it be x.

The theorem is:

Leg^2 + Another Leg^2 = x^2

One leg goes from x = 20 to x = 60, the length is 60 - 20 = 40

Another leg goes from y = 20 to y = 50, the lenth is 50 - 20 = 30

So, we have:

[tex]30^2+40^2=x^2\\2500=x^2\\x=\sqrt{2500}\\x=50[/tex]

THe slant length is 50 units

TOtal fencing is:  70 + 60 + 50 = 180 units

1 unit is 3 feet, so

180 units * 3 = 540 feet

C is the correct answer

There are no actual questions provided for this post. However, based on the details given, the question will probably asked about the following:

a) list the sample space

b) the probability of having a type of tree with certain color

I will explain to you how to answer such questions. Though it may defer a bit from the actual question, you could use guidance to provide the basis for your answer.

Answer and Step-by-step explanation:

List of sample space must incorporate each sample on two different events given that both events are independent to each other.

In this case we have two events:

i) type of tree - real or fake

ii) color of ornaments - white (W), silver (S), gold (G) or purple (P)

Each sample must have one choices of each events. In this case the sample space are:

(real,W), (real,S), (real,G),(real,P)

(fake,W), (fake,S), (fake,G), (fake,P)

To find probability of any choices, we need to know the probability of each samples. Assuming the selection is random and both events are independent to each other, we can have each sample for each event having different probability.

Event: type of tree

Number of choice: 2

Hence, Pr(real) = Pr(fake) = 1/2

Event: ornament color

Number of choices: 4

Hence, Pr(W) = Pr(S) = Pr(G) = Pr(P) = 1/4

To find the probability of any sample space, we can base our probability using individual probability as above.

For example, if the choice is fake tree with red ornaments

Pr(fake & R) = Pr(fake) x Pr(R)

= 1/2 x 1/4

= 1/8

Answer: Guys the answer is both

Answer:

.006%

Step-by-step explanation:

Answer:

The number of corn dogs bought is 3.

Step-by-step explanation:

It is given that, cost of soda is $3 and cost of corn dogs is $4 each.

Let the number of soda bought be "x" and corn dogs be "y".

Thus the total amount spent is given by,

[tex]A = 3x + 4y[/tex]

The total amount is less than or equal to $27, which means;

[tex]3x+4y\leq 27[/tex]

The above inequality can be used to find the number of corn dogs bought.

[tex]y\leq \frac{27-3x}{4}[/tex]

Now, number of items bought are greater than zero and integers, thus x and y are greater than zero integers.

Inserting x from 0 to 9, we get only two only 2 answers,

(x,y) = (5,3) and (9,0)

But it is said that number of corn dogs is not zero, some are bought, thus correct solution is (5,3).

Thus the number of corn dogs bought is 3.

Answer:

The Answer is (A)

Step-by-step explanation:

     9 T-Shirts

Final answer:

To find the number of t-shirts that were neither black nor blue, subtract the number of black and blue t-shirts from the total. In this case, there were 9 t-shirts that were neither black nor blue.

Explanation:

To find the number of t-shirts that were neither black nor blue, we need to subtract the number of black and blue t-shirts from the total number of t-shirts.

20% of the t-shirts were blue, which means there were 30 x 0.20 = 6 blue t-shirts.

1/2 of the t-shirts were black, which means there were 30 x (1/2) = 15 black t-shirts.

Now, to find the number of t-shirts that were neither black nor blue, we subtract the number of black and blue t-shirts from the total number of t-shirts:

Total number of t-shirts - (Number of black t-shirts + Number of blue t-shirts) = 30 - (15 + 6) = 30 - 21 = 9.

Therefore, there were 9 t-shirts that were neither black nor blue.

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y= 4x + 1

Comparing with the slope intercept form, slope = 4

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, - 5) is 4

To determine the intercept, we would substitute m = 4, x = - 2 and y = -5 into y = mx + c. It becomes

- 5 = 4 × - 2 + c = - 8 + c

c = - 5 + 8 = 3

The equation becomes

y = 4x + 3

Answer:

Step-by-step explanation:

any eq. of line parallel to y=4x+1 is

y=4x+a

it passes through (-2,-5)

so -5=4(-2)+a

a=-5+8

a=3

reqd. eq. is y=4x+3

Answer:

Part a) [tex]M=6\frac{2}{3}\ min[/tex]

Part b) [tex]M=9\frac{1}{3}\ min[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, M, and N, represent a proportional variation if it can be expressed in the form [tex]k=\frac{N}{M}[/tex] or [tex]N=kM[/tex]

In this problem, the relationship between the number of photos N to the number of minutes M represent a proportional variation

we have that

For M=2, N=3

Find the the constant of proportionality k

[tex]k=\frac{N}{M}[/tex]

substitute the value of N and M

[tex]k=\frac{3}{2}[/tex]

so

[tex]N=\frac{3}{2}M[/tex]

Part a) How long will it take to print 10 photos?

For N=10

substitute in the linear equation

[tex]10=\frac{3}{2}M[/tex]

solve for M

[tex]M=\frac{10*2}{3}[/tex]

[tex]M=\frac{20}{3}\ min[/tex]

Convert to mixed number

[tex]M=\frac{20}{3}\ min=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ min[/tex]

Part b) How long will it take to print 14 photos?

For N=14

substitute in the linear equation

[tex]14=\frac{3}{2}M[/tex]

solve for M

[tex]M=\frac{14*2}{3}[/tex]

[tex]M=\frac{28}{3}\ min[/tex]

Convert to mixed number

[tex]M=\frac{28}{3}\ min=\frac{27}{3}+\frac{1}{3}=9\frac{1}{3}\ min[/tex]

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Work out the area of the square :

6 x 6 = 36

As there are 2, multiply by 2:

36 x 2 = 72

Work out the area of the rectangle:

12 x 6 = 72

As there are 4, multiply by 4:

72 x 4 = 288

Add these values:

288 + 72 = 360

Thus, your answer is E. 360 in^2

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- Ally ✧  

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Answer:

d

Step-by-step explanation:

Industries Pollute because of following reasons

As the cost of disposal is high so industries dump their waste in the nearby water bodies which causes water pollution. As industries want to maximize their profit so they neglect the disposal part to increase it.

Proper disposal includes the treatment of waste material to reduce its hazardous nature.

Answer:

B

Step-by-step explanation:

For a function to be true, there cannot be any same x value for two different y value. Therefore, B, there is the same x value for 4 but with 2 different ys, 4 and 1.

Answer:

B.

Step-by-step explanation:

It is B because it contains a one-to-many relation.

4 maps to 4 and also 4 maps to 1.

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

Explanation:

Mark point D as the center of the circle. Segment EG is the diameter, so angle EDG is 180 degrees. By the central angle theorem, arc EFG is also 180 degrees.

The minor arc from E to F (follow the shortest path along the circle) is 56 degrees. From F to G, along the shortest path, we have y degrees.

(minor arc EF)+(minor arc FG) = arc EFG

56+y = 180

56+y-56 = 180-56

y = 180-56

y = 124

Minor arc FG is 124 degrees.

This is equivalent to saying that central angle FDG is 124 degrees.

-----------------

The inscribed angle for minor arc FG is the angle FEG, which is half that of the minor arc measure.

inscribed angle = (1/2)*(arc measure)

angle FEG = (1/2)*(minor arc FG)

x = (1/2)*(124)

x = 62

Good evening ,

Answer:

x = 62°

Step-by-step explanation:

x equals to half the measure of the central angle FOG

x = (1/2)×(m∠FOG)

m∠FOG = 180 - m∠EOF

              = 180 - 56

              = 124

then  x = 124/2 = 62.

:)

Final answer:

It takes 30 minutes for the moon's shadow to travel 1150 miles during a solar eclipse based on the speed of 2300 miles per hour.

Explanation:

The question asks us to calculate the amount of time it takes the moon's shadow to travel a certain distance during a solar eclipse, based on given speeds and distances. We know that the shadow travels 2300 miles in one hour, so the speed of the shadow is 2300 miles per hour. In the first 20 minutes, the shadow traveled 766 ⅓ miles. To find the time it takes the shadow to reach 1150 miles, we set up a proportion since the motion of the shadow is at a constant speed.

First, let's convert the 20-minute travel time to hours by dividing by 60, which is ⅓ of an hour (20 / 60 = ⅓). Then we can set up the proportion as follows:

766 ⅓ miles is to ⅓ hour, as 1150 miles is to T hours. Which gives us:

(766 ⅓ / 2300) = (⅓ / 1)

(1150 / 2300) = (T / 1)

Now, we solve for T:

⅓ = 1150 / 2300

T = ⅓

So, T is ⅓ of an hour, which means that it takes ⅓ of an hour for the shadow to reach 1150 miles. We can convert ⅓ of an hour to minutes by multiplying by 60, thus:

T = ⅓ × 60

T = 30 minutes

Therefore, it takes 30 minutes for the shadow to reach 1150 miles.

Answer:

Option 2. Mass divided by density

Step-by-step explanation:

we know that

The formula to calculate the density is equal to

[tex]D=\frac{m}{V}[/tex]

where

D is the density

m is the mass

V is the volume

Solve for V (that means isolate the variable V)

Multiply both sides for V

[tex]DV=m[/tex]

Divide by D both sides

[tex]V=\frac{m}{D}[/tex]

so

Mass divided by density

The productivity of labor increases by 5% would cause the firm to increase hiring capital and decrease hiring of labor

Step-by-step explanation:

A company can convert input data to output data. So, it gets divided the data into broad categories called production factors. Productivity variations, or more precisely the marginal products of labour, work in the same way as differences in real wages. Remember that marginal prices depend on both - real wages and the productivity.

If in case, productivity increases, perhaps because the company has increased its capital base, thereby marginal costs will decrease. Companies will produce more products and employ more employees. Conversely, if productivity drops, companies will produce less and destroy jobs.

When a firm faces union demands for higher wages, they may increase hiring of capital and decrease hiring of labor. This can result in increased labor productivity. In the United States in the 1970s, firms shifted towards more capital and less labor due to union demands for higher wages.

When a firm is confronted with union demands for higher wages, they may choose to increase hiring of capital and decrease hiring of labor. This is because using more physical capital and less labor can result in increased labor productivity.

For example, if the cost of machines increases relative to labor, the firm may shift towards using less capital and more labor to minimize costs. In this situation, the firm would hire more capital and decrease hiring of labor.

In the United States in the 1970s, this situation occurred where firms faced union demands for higher wages, causing a shift towards more capital and less labor in production methods.

Answer:

per person$15.71