help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2

Help Me Quickly Please!!! What Is The Area Of The Composite Figure If Line AB Is Congruent To Line BC

Answers

Answer 1
Answer: Choice C. 2pi+40 square mm

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

Work Shown:

Segments AB, BC, CD, DA, and DN are all the same length (4 units)

The semicircle has area of

A = (1/2)*pi*(radius)^2

A = 0.5*pi*2^2

A = 2pi

The square has area of

B = (side length)^2

B = 4^2

B = 16

The trapezoid has area of

C = (height)*(base1+base2)/2

C = (DN)*(CD+MK)/2

C = (4)*(4+8)/2

C = 24

Add up the results of A, B and C to get the total area

A+B+C = 2pi+16+24 = 2pi+40

The total area is 2pi+40 square mm

Answer 2

The area of the figure will be 2π + 40 mm². Then the correct option is C.

What is the area?

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The figure is made by semicircle, square, and trapezium. Then the area is given as,

A = Area of a semicircle + Area of square + Area of trapezium

A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN

A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4

A = 2π + 16 + 24

A = 2π + 40 mm²

The area of the figure will be 2π + 40 mm². Then the correct option is C.

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Related Questions

Which is the equation for a sphere with the center (2,-9,-1) and radius √r? a. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r b. (x - 2)2 + (y + 9)2 + ( z + 1)2 = r c. (x - 2)2 + (y + 9)2 + ( z + 1)2 = √r d. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r2

Answers

Answer: b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Step-by-step explanation:

The general equation of a sphere is : [tex](x - a)^2 + (y - b)^2+ (z - c)^2 = R^2[/tex], where (a, b, c) represents the center of the sphere, R represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Given, Center of the sphere =  (2,-9,-1)

Radius = √r

Then, the equation of the sphere would be

[tex](x - 2)^2 + (y - (-9))^2+ (z - (-1))^2 = (\sqrt{r})^2\\\\\Rightarrow\ (x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Hence, the correct option is b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex] .

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

f(x)=2(x-3)^2

Step-by-step explanation:

vertex form: a(x-h)^2+k

so find the vertex (h,k) and use it to turn it into vertex form

Angle BAC measures 112°. What is the measure of angle BDC? a. 28 b. 34 c.56 d. 112

Answers

Answer:

112 degrees

Step-by-step explanation:

All corresponding, or reflected angles are the same. the angles BAC & BDC should be the same.

Answer:

C. 56

Step-by-step explanation:

right on edge

List the sides of ∆XYZ in order from shortest to longest if m∠X = 51, m∠Y = 59, and m∠Z = 70

Answers

Step-by-step explanation:

Angles and sides go hand-in-hand. Although I don't see the actual triangle that's used, and that can affect my answer, the side opposite of the shortest angle will be the shortest, the side opposite of the middle angle will be the middle, and the side opposite the largest angle will be the largest. For example, if the shortest angle (m∠X = 51) is the top vertex, the base side will be the shortest.

s the ordered pair (6, 5) a solution to the equation 3x − 4y = −2?

Answers

Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 145 mph faster than the first. Of the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains

Answers

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

Find the distance between the points (4, 0) and (–3, 4).

Answers

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

how much is 4 raised to 4?​

Answers

Answer:

4 raised to 4 is 256

Step-by-step explanation:

Answer: 256

Step-by-step explanation:

Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 4 raised by 4 is: 4 x 4 x 4 x 4 and that multiplication results in: 256. I hope and it has helped you ;)

A rectangle has a length of 12 mm and a width of 15 mm. Which statement best describes the change in the
A new rectangle was created by multiplying all of the perimeter of the new rectangle?
dimensions by a scale factor of 3.
The new perimeter will be times the perimeter of
2
the original rectangle.
WI-
15 mm
5 mm
4 mm
The new perimeter will be times the perimeter of
the original rectangle.
The new perimeter will be 2 times the perimeter of
the original rectangle.
The new perimeter will be 3 times the perimeter of
the original rectangle.
12 mm

Answers

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

If i make $8.00 per hour and work 6 hours a day 5 days per week how much would my check be bi-weekly?

Answers

Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

Pleas Help 9th grade work

Consider the reflectional symmetry of the shape.
How many lines of symmetry does the shape have?
2
3
4
5

Answers

Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

The answer is 4 lines of symmetry

which numbers below belong to the solution set of the inequality? Check all that apply. x -9 < 32 A) 41 B) 24 C) 53 D) 40 E) 36 F) 45

Answers

Answer:

[tex]a)41[/tex]

Step-by-step explanation:

[tex]x - 9 < 32[/tex]

[tex]by \: collecting \: like \: terms[/tex]

[tex]x < 32 + 9[/tex]

[tex]x < 41[/tex]

Answer:

B) 24

D) 40

E) 36

Step-by-step explanation:

x - 9 < 32

Add 9 on both parts.

x - 9 + 9 < 32 + 9

x < 41

x is lesser than 41.

24, 40, and 36 are lesser than 41 from the list.

I need help on this problem please

Answers

Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

Which figure shows a line of reflectional symmetry for the letter T? A letter T is folded at the horizontal line. A letter T is folded diagonally. A letter T is folded vertically through the middle. A letter T is folded diagonally through its center.

Answers

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

What is a Line of Reflectional Symmetry?

A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, two mirror images are created.

Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

Learn more about line of reflectional symmetry on:

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The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

Answers

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The water usage at a car wash is modelled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The amount of decrease in water used is modelled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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help quick plz i will make u a brainllest

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Let < D be x

Since the triangle isosceles < E is also the same as < D

Let < E also be x

Angles in a triangle add up to 180°

x + x + 102 = 180

2x = 180 - 102

2x = 78

Divide both sides by 2

x = 39°

Therefore m < D is 39°

Hope this helps you

The Answer Is B I’m 100% sure it is

For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?

Answers

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?

Answers

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

Simplest form w^3-w(w^2+2w-1)+2w

Answers

Answer:

[tex] - 2 {w}^{2} + 3w[/tex]

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of the quadrilateral EFGH?

Answers

Answer:

Can't be determined.

Step-by-step explanation:

From the fact that the quadrilaterals are similar:

Corresponding sides are in proportion and

Corresponding angles are congruent.

We can't create a proportion, so there's nothing else that we can determine.

Answer:

Below.

Step-by-step explanation:

Similar figures have the same size but not necessarily the same size.

The respective sides will be in the same ratio in a similar figure.

So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.

Answer this ASAP please

A. a=2, b=27, c=3

B. a=2, b=-27, c=-3

C. a=2, b=-3, c=-27

D. a=2, b=3, c=27

Answers

Answer:

Third Choice: a = 2, b = -3, c = -27

Step-by-step explanation:

The equation to be solved with the quadratic formula must be written in the form

ax^2 + bx + c = 0

2x^2 = 27 + 3x

Subtract 3x from both sides. Subtract 27 from both sides.

2x^2 - 3x - 27 = 0

Now we see we have

a = 2, b = -3, c = -27

Answer: Third Choice

The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answers

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

The product of a number and its inverse is 1. Represent it in algebraic form.

Answers

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

Find the height, x, of the triangle. A. 30 B. 40 C. 50 D. 60

Answers

Answer:

The correct option is;

A. 30

Step-by-step explanation:

Given that the perpendicular bisector forms two other right angled triangles, we have;

For the larger right angled triangle, hypotenuse length = 100

For the smaller right angled triangle, hypotenuse length = 90

We note that;

y² = x² + 10²

z² = x² + 90²

100² = z² + y ²

Therefore we have;

100² = x² + 10² + z² =  x² + 10² + x² + 90² = 2·x² + 90² + 10²

10000 =  2·x² + 8200

2·x² = 10000 -  8200 = 1800

x² = 1800/2 = 900

x = 30

What is the area of the triangle below?
3
16
O A. 24 sq. units
O B. 19 sq. units
O C. 48 sq. units
O D. 16 sq. units​

Answers

Answer:

answer is 24

area of triangle=1/2 base*height

1/2*16*3=24

Answer:

24 sq. units

Step-by-step explanation:

Area of a triangle = Base x height ÷ 2

Base = 16

Height = 3

Therefore 16 x 3= 48 ÷2 = 24

I really hope this helps:)

The number -32 belongs to which sets of numbers?

A) Integers,rational
B) Whole, Integers,rational
C) Integers,Irrational
D) Whole,Integers

Answers

A) Integers Rational because whole number has to be positive whole number.

The number -32 belongs to set : A) integers, rational

Rational numbers are terminating or  repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.

Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.

Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.

Given number : -32.

Since, the number is terminating, it is rational.

Further, it is not a fraction or decimal, hence integer.

But since the number is negative, not a whole number.

Therefore A) Integers, rational is correct option.

Learn more about rational number here

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A baker is making cookies. She uses 3 cups of flour for every 8 oz of chocolate chips
How many cups of flour are needed with 192 oz of chocolate chips?

Answers

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only.
1.P(z>1.38)=
2.P(1.233.P(z<−0.42)=
3.P(z<−0.42)=
4. P(−2.645.P(z<3.04)=
5. P(z<3.04)
6.P(07.P(z>−2.43)=
7.P(z>−2.43)=

Answers

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)​

Answers

Answer:

  [tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  [tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

Mr.Green works at a advertising agency. He has a marketing budget of $2500 to pay for television and newpaper advertising. Television advertising costs $100 per minute and newpaper advertisement cost $25 per square inch of print. The inequality represents the number of minutes of television advertising (A) and square inches of of newspaper advertising (B), Mr.Green can order without exceeding his marketing budget is

Answers

Step-by-step explanation:

A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.

To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.

100a + 25b  ≤  2500

Other Questions
The development of Heisenberg's uncertainty principle had what effect? Question 8 options: A) People could now objectively know truth. B) Electrons became impossible to study. C) Scientific progress stopped. D) Objectivity became questioned. What is the volume at STP, in liters, occupied by 26.4 g of F2 gas? Please help me out on Matching the weather observation in column 1 to the most likely result in column 2 Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay. Which of the following, if true, most seriously weakens the argument? (A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries. (B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat. (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel. (D) Suriland is surrounded by countries that do not import any wheat. (E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland. Which of the following is not one of the four purposes of a speech? this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000 What is the order of how early humans found food The rear of your car skids to the right. How do you begin to correct the skid? Brake hard Ease off the accelerator and steer left Accelerate quickly and steer left Ease off the accelerator and steer right At the beginning of the year, Ann and Becky own equally all of the stock of Whitman, Inc., an S corporation. Whitman generates a $120,000 loss for the year. On the 189th day of the year, Ann sells her half of the Whitman stock to her son, Scott. Becky's stock basis is $41,300 How much of the Whitman loss belongs to Ann and Becky? In your computations, round any divisions to four decimal places. Round the final answer to the nearest dollar. Assume a 365 day year. Ann's share of Whitman's loss is $_______ and Becky's share of the loss is $______ However,______ loss is limited to $__________. [10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? What are the most likely meanings of the idiom "we'll cross that bridge when we come to it"? Select two options. I NEED HELP PLEASE, THANKS! :) Help!!!!! please!!!!! Farmers may have moved to the Indus Valley from the Bolan River area _____. 1.because they wanted to build great cities 2.because the Bolan River dried up 3.because it had a plumbing system 4.because their gods told them to Where is our sun located in the Milky Way?O at the tip of one of the spiral armsO within one of the spiral armsO at the exact center of the galactic nucleusO in the galactic halo An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers. Which details best support the theme that oppressioncan make alternatives seem impossible? Select twooptions."This was not what they had aimed at when they hadset themselves years ago to work for the overthrow ofthe human race."her eyes filled withr thoughts, it wouldwhat they had aimedyears ago to work forThese scenes of terrorhad looked forward tostirred them tony picture of the future,5 set free from hungerking according to hise weak, as she hadngs with her foreleg onead-she did not knowwhen no one daredwling dogs roamedto watch your comradesshocking crimes."If she herself had had any picture of the future, it hadbeen of a society of animals set free from hunger andthe whip.""... they were far better off than they had been in thedays of Jones, and that before all else it was needfulto prevent the return of the human beings.""She would remain faithful, work hard, carry out theorders that were given to her, and accept theleadership of Napoleon." Find the general formula for the following sequence.300000, 480000, 768000, 1228800, 1966080, .... Not only do businesses benefit from the protections of __________, consumers do as well; they allow consumers to correctly identify the products they want to purchase. On December 15, 2015, Carboy, Inc., borrows $120,000 cash from Third National Bank at 9 percent annual interest. The note is due in 45 days. At December 31, 2015, Carboy records any unpaid interest with an adjusting entry. On January 30, 2016, Carboy pays the principal and interest owed on the bank note.Prepare the January 30 entry by Carboy for the payment (maturity) of the note plus interest by selecting the account names and dollar amounts from the drop-down menus. (Note that the account names must follow the order in the illustration in the text.)