How can you find the area of a two-dimensional composite figure, or the surface area of a three-dimensional composite figure?

Answers

Answer 1

Step-by-step explanation:

a. the area of a two-dimensional composite figure

In this situation, we need to draw any necessary segments to view the figure as basic shapes, then:

Step 1: add basic shape areas belonging to the composite shape Step 2: subtract basic shape areas NOT belonging to the composite shape

b. the surface area of a three-dimensional composite figure

As we know (3D) composite objects are made of two or more objects put together. To find the surface area of a 3D composite object, we need:

Step 1:  find the outside surface area of each object Step 2: add the surface areas together

Hope it will find you well

Answer 2

Final answer:

To find the area of composite figures, break them down into simpler shapes and sum up their areas. For three-dimensional figures, find individual surface areas and add them up.

Explanation:

Area can be determined by counting the number of squares inside a shape on 1 cm x 1 cm graph paper. For composite figures, break them down into simpler shapes, find their individual areas using appropriate formulas, then add them up. For three-dimensional composite figures, calculate surface area by finding the sum of individual surface areas of each component shape.


Related Questions

[THIRTY POINTS]Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth

Answers

Answer:

First one:

Subtract 3 and one-fifth from both sides of the equation

Step-by-step explanation:

3 and one-fifth + n = 9

3⅕ + n = 9

3⅕ + n - 3⅕ = 9 - 3⅕

n = 5⅘

Answer:

first choice

Step-by-step explanation:

give brainileast to the other guy plas

James, a real estate appraiser is looking at homes in the 78681 zip code. He takes a random sample of 42 homes form the Austin MLS (that's where Realtors go for information) and finds that 29 of them are listed as "eclectic" style. What is the 80% confidence interval for the proportion of homes that are "eclectic"?

Answers

Answer:

80% confidence interval for the proportion of homes that are "eclectic" is [0.59 , 0.78].

Step-by-step explanation:

We are given that James takes a random sample of 42 homes form the Austin MLS (that's where Realtors go for information) and finds that 29 of them are listed as "eclectic" style.

Firstly, the pivotal quantity for 80% confidence interval for the population proportion is given by;

                              P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of homes that are "eclectic" = [tex]\frac{29}{42}[/tex] = 0.69

            n = sample of homes = 42

            [tex]\mu[/tex] = population proportion of homes that are "eclectic"

Here for constructing 80% confidence interval we have used One-sample z proportion statistics.

So, 80% confidence interval for the population proportion, p is ;

P(-1.282 < N(0,1) < 1.282) = 0.80  {As the critical value of z at 10% level

                                                     of significance are -1.282 & 1.282}  

P(-1.282 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.282) = 0.80

P( [tex]-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.80

P( [tex]\hat p-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.80

80% confidence interval for p = [ [tex]\hat p-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex],[tex]\hat p+1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]

= [ [tex]0.69-1.282 \times {\sqrt{\frac{0.69(1-0.69)}{42} } }[/tex] , [tex]0.69+1.282 \times {\sqrt{\frac{0.69(1-0.69)}{42} } }[/tex] ]

= [0.59 , 0.78]

Therefore, 80% confidence interval for the proportion of homes that are "eclectic" is [0.59 , 0.78].

A pair of sneakers was reduced from $127 to $85. What was the percent of change?

Answers

Find the difference:

$127 - $85 = $42

Divide the difference by the original price:

42 / 127 = 0.3307

Rounded to 2 decimal places = 0.33

Multiply by 100:

0.33 * 100 = 33% decrease

Answer: it was reduced by 33%

Step-by-step explanation:

127x0.67 is 85.09 which is about 33%

3 less than the quotient of 18 and a number m in algebraic expression

Answers

Answer:

18/m - 3

Step-by-step explanation:

Which function represents exponential growth

Answers

Answer:

The answer is this.

[tex]y = 4x {}^{2} [/tex]

Hope this helps ya.

☆CHEERS!☆

In a city school of 1200 students 42% of the students are on the honorable 64% have a part time job and 28% are on the honor roll and have a part-time job what is the probability that a randomly selected student is on the honor roll given that the student has a part time job

Answers

Answer:

[tex]P(H|P) = \frac{P(H \cap P)}{P(P)}[/tex]

And replacing we got:

[tex] P(H|P) =\frac{0.28}{0.64}= 0.4375[/tex]

And the probability required for this case is 0.4375

Step-by-step explanation:

For this case we define the following events:

H = represent that the student is honorable

P= represent that the student have a part time job

And we have the following probabilities:

[tex] P(H) = 0.42 , P(P) = 0.64, P(H \cap P) =0.28[/tex]

And we want to find this probability:

[tex] P(H|P)[/tex]

And we can use the following probability:

[tex]P(H|P) = \frac{P(H \cap P)}{P(P)}[/tex]

And replacing we got:

[tex] P(H|P) =\frac{0.28}{0.64}= 0.4375[/tex]

And the probability required for this case is 0.4375

is meter and milimeter the same thing

Answers

Answer: no, it does not mean the same thing

Answer:  No, a millimeter is much smaller than a meter.

Step-by-step explanation:

what is 8x-8 less than or equal to -72

Answers

Answer:

-8

Step-by-step explanation:

x less than or equals to -8

Answer:

If you are moving up the line toward the 0, the answer would be more than

If you are moving down the line, -72 would be more than -64.

Step-by-step explanation:

8 times negative 8 is -64     --- I think

is Circumference of a circle same as area?​

Answers

Answer:

The circumference of a circle is not the same as the area of the circle because the circumference represents the distance around the circle while the area represents the amount of space within the circle. Hope this helps.

Answer:

No

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle. It is similar to the perimeter of other shapes such as squares.

Hope this helps! :)

If the surface area of the box of cereal below is 272 in?, find the length of the box.
CEREAL
12 in
2 in
1=?

Answers

Answer:

x = 8 inches length

Step-by-step explanation:

Dimension of box:

12 inches  by 2 inches by length x

with total surface area = 272 square inches,

There are 6 faces.

Area =  2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)

Area = 272 sq. in.  = 48 + 4x + 24x

272 = 48 + 28x

272 - 48 = 28x

224 = 28x

x = 8 inches

Final answer:

To find the length of the box, use the surface area formula of a rectangular prism and solve for the length. The length of the box is 59 inches.

Explanation:

To find the length of the box, we need to calculate the dimensions of the cereal box. The surface area of a rectangular prism is given by the formula: Surface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the box. From the given information, we have:

12(2) + 12(1) + 2(2)x = 272

Simplifying the equation gives us: 24 + 12 + 4x = 272

Combining like terms, we have 4x + 36 = 272. Subtracting 36 from both sides gives us 4x = 236. Finally, dividing by 4 gives us x = 59.

Therefore, the length of the box is 59 inches.

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A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Write your answer using the form y=mx+b.

Please i need help ASAP

Answers

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

y = 4x + b

1 = 4(2) + b

b = 1 - 8

b = -7

y = 4x - 7

A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?

Answers

Answer:

27218

Step-by-step explanation:

y= 17000 (1.04) ^12

y=27217.54772

y= 27218

If a town has a population of 17000. The population after 12 years, to the nearest whole number is 27,218.

Population

Using this formula

A=P(1+r/100)^n

Let plug in the formula

A= 17000 (1+.04) ^12

A= 17000 (1.04) ^12

A=17000×1.601032

A=27217.54

A=27218 (Approximately)

Therefore the population after 12 years, to the nearest whole number is 27,218.

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When finding the POWER of a term with an exponent, you do what?

Answers


When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.

Can a triangle with the angles of 0, 90 , and 90 be considered a triangle?

Answers

A "triangle" with the angles 0, 90, and 90 degrees cannot be considered a triangle since the two 90 degree angles make a right angle, and 0 degrees would mean a flat line. Rather it would resemble something like a straight U that is stretched sideways.

Final answer:

A figure with angles of 0, 90, and 90 degrees cannot be considered a triangle because the angles must sum to 180 degrees and each angle must be greater than 0 degrees and less than 180 degrees to form a three-sided figure.

Explanation:

A triangle is defined as a three sided figure lying on a plane, with three angles that add up to 180 degrees. In the case of the angles provided (0, 90, and 90), they do not add up to 180 degrees; instead, they sum up to 180 degrees if you exclude the 0-degree angle, which cannot be a valid angle for a triangle since every angle in a triangle must be greater than 0 degrees and less than 180 degrees. Therefore, a figure with angles of 0, 90, and 90 degrees cannot be considered a triangle.

In addition, the shape with two 90-degree angles would be a straight line, which does not meet the criteria of a triangle having three sides. An example of a valid right-angled triangle is one having angles of 90, 45, and 45 degrees, which correctly sum up to 180 degrees and form a closed three-sided figure.

Which statements about the function are true? Select two
options.
The vertex of the function is at (1,-25).
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-4.
The graph is negative on the entire interval
4

Answers

Answer:

The vertex of the function is at (1,-25)

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

Part of the graph of the function f(x) = (x + 4)(x-6) is shown  below.

Which statements about the function are true? Select two

options.

The vertex of the function is at (1,-25).

The vertex of the function is at (1,-24).

The graph is increasing only on the interval -4< x < 6.

The graph is positive only on one interval, where x <-4.

The graph is negative on the entire interval  

My answer:

Given the factored form of the function:

f(x) = (x + 4)(x-6)

<=> f(x) = [tex]x^{2} - 2x -24[/tex]

We will convert to vertex form

<=> f(x) = ([tex]x^{2} - 2x +1[/tex]) - 25

<=> f(x) = [tex](x-1)^{2} -25[/tex]

=> the vertex of the function is: (1,-25)

We choose: a. The vertex of the function is at (1,-25)

Let analyse other possible answers:

c. The graph is increasing only on the interval -4< x < 6.

Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.

So the graph is increasing in the domain (1, +∞)

=> C is wrong

d. The graph is positive only on one interval, where x <-4

Wrong, The graph is positive only on one interval, where x > 6

e. The graph is negative on the entire interval

Wrong, The graph is negative only on one interval, where -4< x < 6.

Expand: In
2a3/b4
a)ln 2 + 3 ln a - 4 ln b

b)ln 2 - 3 ln a - 4 ln b

c)ln 2 - 3 ln a + 4 ln b

Answers

Answer:

A

Step-by-step explanation:

option A is correct,  2a³/b⁴ is expanded to log2+3loga-4logb

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 2a³/b⁴

We have to expand this by using logarithms.

logab=loga +log b

log(a/b)=loga-logb

log(2a³)/log(b⁴)

log2+loga³ - log(b⁴)

Another property of logarithm

logaˣ=xloga

log2+3loga-4logb

Hence, option A is correct,  2a³/b⁴ is log2+3loga-4logb

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What kind of equation is this ? Y= 1/2 x

A) inverse variation
B) linear equation
C) joint variation
D) direct variation

Answers

The answer is B) linear equation

What are the roots of the graph below?

Answers

The answer would be D

Write as a product. 5a–5a^2–10a^4

Answers

Answer:

-5a(2a^3+a-1)

Step-by-step explanation:

I factored -5a out of 5a -5a^2-10a^4

hope this helped you

Final answer:

The given expression 5a−5a²−10a⁴ is factored as a product by factoring out the common factors, resulting in 5a(1 - a - 2a³).

Explanation:

To write the expression 5a−5a²−10a⁴ as a product, we need to factor out the common factors in each term. The term with the lowest exponent in 'a' is '5a', which indicates we can factor out 'a' from the entire expression. However, we can also factor out a '5' since it is common to all terms. Here are the steps:

First, identify the common factors in the terms which are '5' and 'a'.Factor out '5a' from each term in the expression.

Doing this, we get: 5a(1 - a - 2a³)

The expression can now be expressed as the product of '5a' and '(1 - a - 2a³)'.

what is the equation of this line

Answers

answer: y = 2x + 14

Try using the website Symbolab! There’s a ton a calculators with the step by steps on how to get the answer :)

A rock group plans to travel for a total of 27 weeks, making three concert stops. They will be in Japan for 2 more weeks than they will be in Australia. Their stay in Sweden will be 2 weeks shorter than that in Australia. How many weeks will they be in each country?

Answers

Answer:

They spent 9 weeks in Australia, 11 weeks in Japan and 7 weeks in Sweden.

Step-by-step explanation:

A rock group plans to travel for a total of 27 weeks, making three concert stops in Japan, Australia and Sweden.

Let the number of weeks spent in Sweden be s.

Let the number of weeks spent in Japan be j.

Let the number of weeks spent in Australia be a.

This means that:

s + j + a = 27___________(1)

They will be in Japan for 2 more weeks than they will be in Australia. This means that:

j = a + 2 ______________(2)

Their stay in Sweden will be 2 weeks shorter than that in Australia. This means that:

s = a - 2 ______________(3)

We can replace s and j in (1) with (2) and (3):

=> a - 2 + a + 2 + a = 27

Collecting like terms:

a + a + a - 2 + 2 = 27

3a = 27

a = 27 / 3 = 9

The number of weeks they will spend in Australia is 9 weeks.

Putting this value of a in (2) and (3):

j = 9 + 2 = 11

and

s = 9 - 2 = 7

Therefore, they will spend 11 weeks in Japan and 7 weeks in Sweden.

Exit
8-8: MathXL for School: Practice & Problem Solving
(x) 8.8.PS-14
E Question Help
A box has the shape of a rectangular prism with height 32 cm. If the
height is increased by 0.9 cm, by how much does the surface area of the
box increase?
32 cm
Use pencil and paper. Show your work. Then show a second way to
19 cm
7.2 cm

Answers

Answer:

47.16 Square centimeters

Step-by-step explanation:

Width=7.2cm

Length =19cm

Height =32cm

Surface Area=2(LW+LH+WH)

=2(19*7.2+19*32+7.2*32)

Surface Area [tex]=1950.4 cm^2[/tex]

When the height is increased by 0.9cm

Height =32.9cm

Surface Area=2(LW+LH+WH)

=2(19*7.2+19*32.9+7.2*32.9)

Surface Area [tex]=1997.56 cm^2[/tex]

Difference in Surface Area=1997.56-1950.4

=47.16 Square centimeters

An alternative way is to calculate the surface area dealing with the height only using the height difference,

Difference=2(LH+WH)

=2(19*0.9+7.2*0.9)

=47.16 Square centimeters

THIS IS A QUESTION FOR WOLLFGIRL Write out 2-4 sentences about which advertisement would give you the "best deal"

Answers

Answer:

answers are highlighted below!   I hope this helps! please do not copy my work!   ^-^     :)

Step-by-step explanation:

okay, on the first one we are told we have 15% off of $729.99

which then takes off about $109.50

after we subtract the $109.50 from the $729.99 we are left with $620.49, that's not including tax

sales ax is 8.25% or $51.19      that comes out to equal $671.69

so we can conclude that the big tv sale at the big box store is equal to the amount of $671.69

on the second one, its normally $699.99

we have the coupon  for $100 off of that price so that leaves us with $599.99

but we have the $50 charge for delivery. so now its at $649.99

now we need to determine the price after tax. the price of tax is $53.62

add the tax amount to $649.99 to get $703.61

$703.61

the initial price of the tv is $734.95

$150 in rebate (refund)

$734.95 - $150 = $584.95

now we need to find the price including the delivery cost

$584.95 + $35 = $619.95

now lets find the tax price

$51.15

After Tax Price: $671.10

The TV from the Electronic Warehouse is the best option. You pay only $671.10!  The prices from the two other stores are $703.61 and $671.69.

We are paying .59 cents less than one of the TV's, and we are also paying $32.51 less than the other TV! So the best option would be the TV from the Big Box store!

What does the word FAITH mean?

Answers

Answer:

Faith means to believe in something you cannot see.

Step-by-step explanation:

An example can be oxygen. To a naked eye, you cannot see oxygen, yet you "believe" that it is there, or you have faith that there is oxygen around you to sustain you.

This is what faith is, the belief of something that you cannot see with the naked eye.

~

Answer:

Faith is a trust or confidence in a person, object, or concept.

Example:

"The dog remained faithful to his owner."

"They lost faith when he lied to them."

Find the probability given that each set of events is independent: drawing a 3 from 5 cards numbered 1 through 5 and rolling an even number on a number cube. A 3/30 = 1/10 b 4/30 = 2/15 c 2/30 = 1/15 d None of the above

Answers

Answer:

1/10

Step-by-step explanation:

So first we need to find the probability of the cards, there is 5 cards and one card needs to be chosen, so the probability is 1/5

Then we need to find the probability of the dice, there is 3 even numbers in 1,2,3,4,5,and 6, so the probablity is 3/6 which is also equal to 1/2

Finaly we need to multiply 1/5 with 1/2, which is 1/10

HELP ME PLZZ
The absolute value of a number is .|2| =

Answers

Answer:

The absolute value of a number is a distance /2/=2

Step-by-step explanation:

The absolute value of the absolute expression |2| will be 2.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute expression is given below.

⇒ |2|

The value will be always positive when the value inside the mode is taken out. Then we have

⇒ |2|

⇒ 2

The absolute value of the absolute expression |2| will be 2.

More about the value of the expression link is given below.

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Meauring the speed of a car at 60 mph would be an example of quantitative data.
True
False

Answers

Answer:

True

Step-by-step explanation:

Measuring the speed of a car at 60 mph would be an example of quantitative data
Answer: true

If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of sea water?

Answers

Answer:

1120 grams

Step-by-step explanation:

The amount of sea water is directly proportional to the amount of salt in the water.

Let the amount of sea water be W and the amount of salt be S.

This means that:

W α S

=> W = kS

where k = constant of proportionality

2 liters of sea water contain 70 grams of salt Therefore:

2 = k * 70

k = 2 / 70 = 1/35

Therefore, for 32 liters of sea water:

32 = 1/35 * S

S = 35 * 32

S = 1120 grams

There are 1120 grams of salt in 32 liters of water.

solve T = 7c-2d for d.

Answers

Answer:

[tex]d = \frac{t - 7c}{ - 2} [/tex]

Hope this helps at all. :)

Final answer:

To solve for d in T = 7c - 2d, isolate the variable d by moving the term with d to the other side of the equation and simplifying.

Explanation:

To solve for d in the equation T = 7c - 2d, we need to isolate the variable d. First, we'll start by moving the term with d to the other side of the equation.

Step 1: Add 2d to both sides of the equation.

T + 2d = 7c

Step 2: Now, we'll isolate the variable d by subtracting T from both sides of the equation.

2d = 7c - T

Step 3: Finally, divide both sides of the equation by 2 to solve for d.

d = (7c - T)/2

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Point S is located on RT so that RS/ST = 1/4. What are the coordinates of point S?



(5,5)



(8sqrt2, 8sqrt2)



(10, 10)



(4sqrt2, 4sqrt2)

Answers

Answer:

5,5

Step-by-step explanation:

(5, 5)

This is very correctamundo

Other Questions
Divide the school into classes and then randomly select students from each class is an example of: How does the magma chamber work?A. The magma chamber collects the magma deep underground. When the core moves, the magma chamber erupts. B. The magma chamber holds the lava until something aggravates it. It then releases a gas, followed by an eruption. C. The magma chamber collects the magma deep underground. It naturally pushes upward, and when pressure is high enough, it can split from the main vent. D. none of these the diameter of a circle is 26 miles. what is the circle's circumference. Use 3.14 for pi the pendulum has the most potential energy? '' at the top of swing'' , ''in the middle of the swing'' , ''at the bottom of the swing''. can someone please help i have no idea whats going on in this code Select the graph that represent the equation (x-6)^2+(y+7)^2=16 Why might Johnson have chosen to be lenient toward many Confederates? BTC, a consulting company with offices across the United States, began an employee discussion forum on its website. A few employees began criticizing the company on the forum and undermining its morale. BTC does not want to limit employee interaction, but at the same time, it would like to limit what employees can write. Which of the following features of a discussion forum will help them achieve this?a) tele-presence.b) anonymity.c) moderators.d) version control. Peter and Blair recently reviewed their future retirement income and expense projections. They hope to retire in 35 years and anticipate they will need funding for an additional 26 years. They determined that they would have a retirement income of $64 comma 000 in today's dollars, but they would actually need $88 comma 241 in retirement income to meet all of their objectives. Calculate the total amount that Peter and Blair must save if they wish to completely fund their income shortfall, assuming a 4 percent inflation rate and a return of 9 percent. What bone disease,most common in women over the age of 50.causes bones to become weak and brittle As the peppered moth evolved over time, its wings changed from light to dark so that it could better A)find food to eat. B)combat pollution. C)hide from predators. D)withstand its climate. Analyzing Student WorkAnalyze Marika's steps. Which statement is true abouther work?Marika solved the equation (6x +15)2 + 24 = 0. Her workis below.1. (6x + 15)2 = -242. V6x +15)2 = -24In step 2, Marika should have simplified / -24 to be4-63. 6x + 15 = -254. 6x = -2.5 - 15-256-155. X=There are no real solutions to this equation becausethe square root of a negative number is not a realnumberThere should be two real solutions to this equationbecause -24 = +25.Marika correctly solved this equation. Newton's "quantity of motion" is conservation.TrueFalse Which of the following could be the functiongraphed? A.) f(x)=8x^2/x^2-9 B.) f(x)=119x/792x+345 C.) f(x)=612/816x-272 D.) f(x)=237x/421x-515 The best definition of a proxy record is:A. Scientific measurements that are indirect and not recorded with instruments.B. Scientific measurements that use one set of data to represent another set of data in a calculation.C. Scientific measurements made using proximal distances between data points.D. Scientific measurements that contain data points that are average approximations of specific measurements. Find the zeros of f(x)=x^2 +5x -6.A. {2, 3}B. {-6, 1}C. {-2,-3}D. {-6,-1} Derby Inc. manufactures a product which contains a small part. The company has always purchased this motor from a supplier for $125 each. Derby recently upgraded its own manufacturing capabilities and now has enough excess capacity (including trained workers) to begin manufacturing the motor instead of buying it. The company prepared the following per unit cost projections of making the motor, assuming that overhead is allocated to the part at the normal predetermined overhead rate of 150% of direct labor cost.Direct material $ 38Direct labor 50Overhead (fixed and variable) 75Total $ 163The required volume of output to produce the motors will not require any incremental fixed overhead. Incremental variable overhead cost is $21 per motor. What is the effect on income if Derby decides to make the motors When a person bullies someone using technology, it's called:BullyingPrankingTauntingCyberbullying According to Boyle's law, how would you reduce the volume of a gas?a. by decreasing its pressure b. by increasing its temperature c. by decreasing its temperature d. by increasing its pressure Find the median, lower quartile, upper quartile, and interquartile range for each data set.45,00040,57076,92028,82051,68055,37043,69064,85058,770 Steam Workshop Downloader