123,608,902.904.Written in words​

Answers

Answer 1

Answer:

One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!


Related Questions

Ms.Sinnott has 7/12 m of string and she cuts the string into eight pieces how long are the new piece of string

Answers

Answer:

7/96 m

Step-by-step explanation:

7/12 ÷ 8 = 7/96

please help and find the missing side x

Answers

[tex]\text{Hello there!}\\\\\text{A simple way to find the value of x is to find the scale factor}\\\\\text{When you flip the shapes to make it look exactly the same,}\\\text{you would see that the numbers are divisible to it}\\\\\text{Side 21 is congruent to side 3}\\\\\text{Divide 21 by 3 and you'll get 7 (1/7 sine we're going to a smaller shape)}\\\\\text{The x side is congruent to the 91 side}\\\\\text{Divide 91 by 7}\\\\91\div7=13\\\\\large\boxed{x=13}[/tex]

The missing side x would be 13. I figured this out by seeing how to get 21 from 3 which is 3 •7 then I did the same with all the others sides and they all added up to __•7 so all you have to do is divide 91 by 7 and you will get 13.

I hope this helped you understand!!:):) Sorry if you couldn’t understand how I explained it

Write three numbers that are between -3 and -4

Answers

Answer:

-3.3, -3.5, -3.7

Which of the following represents a combination? Select all that apply.
the PIN for a bank or credit card
a committee consisting of three members with the same role
a committee consisting of a president, vice president, and secretary
final standings in a professional sports league
m selecting two sandwiches from a menu of 10

Answers

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

What the answer fast

Answers

To solve this problem, first let x=0.933333(repeating). Then, you want to multiply both sides by 10 to get 10x = 9.33333 (repeating). Next, take equation 2 and minus equation 1 from it giving you 9x = 8.4. Finally, multiply both sides by 10 and you will get 90x = 84. Divide both sides by 90 giving x=84/90. Answer is 84/90. 84/90 can reduce to 14/15.

Which choice is equivalent to the product below? Square root of 3/16 • Square root of 3/9

Answers

Answer:

3/12

Step-by-step explanation:

it was right on, you know, where its from

The product Square root of 3/16 • Square root of 3/9  = 3/12 = 1/4.

What is square root?

The root is figuring out what number accelerated by way of itself is the same as the variety under the square root image. So: √9= 3, due to the fact 3² $ -3² = 9

square root, in mathematics, a component of a variety of that, while accelerated by way of itself, gives the authentic quantity. for example, each 3 and –3 are square roots of 9.

The square root of 3/16 • Square root of 3/9

⇒[tex]\sqrt{\frac{3}{16} }[/tex]×[tex]\sqrt{\frac{3}{9} }[/tex]

⇒3/4*3

⇒1/4.

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Translate 4n-5 To verbal statement

Answers

Final answer:

The algebraic expression 4n-5 translates verbally to 'four times a number minus five.'

Explanation:

To translate the algebraic expression 4n-5 into a verbal statement, consider the components of the expression. The '4n' part indicates four times a number 'n', and '-5' signifies that five is subtracted from the product of four and the number. Thus, the verbal statement of the expression is 'four times a number minus five.'

The complete question is:Translate 4n-5 To verbal statement

The algebraic expression 4n - 5 translates to "Five subtracted from the product of 4 and a number."

In Mathematics, an algebraic expression is a type of mathematical equation which is typically used for showing the relationship existing between two (2) or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

Generally speaking, the variable x is typically used for denoting an independent variable.

Based on the given algebraic expression 4n - 5, a word problem that represents the expression can be written as "Five subtracted from the product of 4 and a number."

Simplify 8 over negative 3 divided by negative 4 over 9. −8 −6 6

Answers

Answer:

6

Step-by-step explanation:

[tex] - \frac{8}{3} \div - \frac{4}{9} = - \frac{8}{3} \times -\frac{9}{4} = \frac{72}{12} = 6[/tex]

I am joyous to assist you anytime.

Can someone explain to me how to do questions 6-8 because I understand how to do 3-5 now. Can you explain to me how you do this please ? I have a test tomorrow

Answers

Answer: 6. 4,2

              7. 3,2

              8. 5,2

please forgive me if i am incorrect.

Answer:

see explanation

Step-by-step explanation:

Using the midpoint formula to equate the x and y coordinates of the endpoints to the x and y coordinates of the midpoint, that is

(6)

let ( x, y ) be the coordinates of the required endpoint, then

x → [tex]\frac{x+6}{2}[/tex] = 2 ( multiply both sides by 2 )

  x + 6 = 4 ( subtract 6 from both sides )

x = - 2 and

y → [tex]\frac{y+2}{2}[/tex] = 0 , thus

y + 2 = 0 ( subtract 2 from both sides )

y = - 2

Coordinates of the other endpoint = (- 2, - 2)

(7)

x → [tex]\frac{x-4}{2}[/tex] = - 1 ( multiply both sides by 2 )

x - 4 = - 2 ( add 4 to both sides )

x = 2 and

y→ [tex]\frac{y+3}{2}[/tex] = - 1 ( multiply both sides by 2 )

y + 3 = - 2 ( subtract 3 from both sides )

y = - 5

Coordinates of the other endpoint = (2, - 5)

(8)

x → [tex]\frac{x+7}{2}[/tex] = 2 ( multiply both sides by 2 )

x + 7 = 4 ( subtract 7 from both sides )

x = - 3 and

y → [tex]\frac{y+3}{2}[/tex] = 1 ( multiply both sides by 2 )

y + 3 = 2 ( subtract 3 from both sides )

y = - 1

Coordinates of the other endpoint = (- 3, - 1)

When Spencer was 5, he was 28 inches tall. Today he is 5 feet 3 inches tall. What is the percent increase in Spencer’s height?

I appreciate any help! Thank you!

Answers

Answer:

The percentage increase in Spencer’s height is 125 %

Solution:

[tex]\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}[/tex]

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

 [tex]\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}[/tex]

Solve -3 |2x+3| -4 = 1

Answers

Answer: x = 1.5

Step-by-step explanation:

First, we need to isolate the absolute value.

+ 3 to each side.

|2x + 3| - 4 = 4

Then, add 4 more to each side.

|2x + 3| = 8

Subtract 3 from each side.

|2x| = 5

Divide each side by 2

|x| = 1.5

Answer:

no solutions

Step-by-step explanation:

[tex]-3|2x+3|-4=1[/tex]

[tex]-3|2x+3|=1+4[/tex]

[tex]-3|2x+3|=5[/tex]

[tex]{\left|2x+3\right|}=\frac{5}{-3}[/tex]

The absolute value of a number is always positive or zero.

A go-kart travels 21 miles per hour. Convert this speed into feet per minute.

Answers

Answer:  1848 feet per minute

Step-by-step explanation:

[tex]\dfrac{21\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{5280\ feet}{1\ mile}\quad =\dfrac{21\times 5280\ feet}{60\ minutes}\quad =\dfrac{110,880\ feet}{60\ minutes}\\\\\\=\large\boxed{1848\ feet\ per\ minute}[/tex]

solve the equation 7-y-y=-1

Answers

Answer: y=4

Step-by-step explanation:

7-y-y=-1

Combine like terms

7-2y=-1

Subtract seven on both sides of the equation

7-7-2y=-1-7

-2y=-8

Divide both sides by -2

-2y/-2=-8/-2

y=4

Check the answer by plugging 4 back in the equation for y.

7-4-4=3-4=-1

The final answer is y=4

7-2y = -1
-2y =1 - 7
-2y = 8
Y = 4

I need to know what this table is cause I need the answer

Answers

Answer:

f(- 2) = 1

Step-by-step explanation:

f(- 2) means what is the value of f(x) when x = - 2

From the table we can see that when x = - 2 f(x) = 1

Hence

f(- 2) = 1

Answer:

f(-2) = 1

Step-by-step explanation:

Actually, you need to know how to use this table to find the value of the function defined by the table when x = -2.  

Look in the first column of the table for x = -2.  When x = -2, f(x) = 1.  This is the desired result ("What is f(-2)?")

Given that y is directly proportional to x^2 and that y=2 when x=3 find the value of y when x=6

Answers

Answer:y=4/3

y is directly proportional to x^2 is written as

[tex]y \alpha {x}^{2} [/tex] introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

[tex]2 = {3}^{2} \times k[/tex]

2=9k . dividing through by 9 to get the value of k

[tex] \frac{2}{9} = \frac{9k}{9} [/tex]

[tex]k = \frac{2}{9} [/tex]

putting it in the general expression

[tex]y = \frac{2}{9} x[/tex]

the value of y when x=6

[tex]y = \frac{2}{9} \times 6[/tex]

[tex]y = \frac{4}{3} [/tex]

therefore the value of y when x=6 is

4/3

rewrite equation to solve for m 4n-6m=-2

Answers

Answer:

Step-by-step explanation:

4n - 6m = - 2              Subtract 4n from both sides.

4n-4n - 6m = -2-4n

-6m = - 2 - 4n             Divide by - 6

-6m/-6= -2/-6 -4n/-6  Do the division

m = 1/3 + 2n/3

The signs change because each term has 2 minus signs. 2 minus signs make a plus. Or both minus signs cancel.

13. A reflection of the rectangle over which line will map the rectangle onto itself?

a. y = 0 b. y=2_c. y=x d. y = 2x

Answers

Answer:

Step-by-step explanation:

Y=2

Final answer:

Reflection of a rectangle over the x-axis (y = 0) will generally cause it to map onto itself. The other given lines (y = 2, y = x, and y = 2x) will not typically have this result, unless the rectangle is specifically located on the plane.

Explanation:

In geometry, a shape maps onto itself under reflection when it is reflected over a line that bisects it symmetrically. With a rectangle, this can occur when it is reflected over the x-axis or y-axis, assuming the rectangle's sides are parallel to the axes. From the given options, only y = 0 (x-axis) could create this type of reflection.

Reflection over the line y = 0 will leave a rectangle in the same position if its height is evenly distributed above and below the x-axis. For lines like y = 2, y = x, and y = 2x, they would not bisect a rectangle symmetrically unless the rectangle is specifically positioned, so they will not generally result in the rectangle mapping onto itself.

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This table shows the distance traveled by a car and the car’s average speed on different days. A three column table with six rows. The first column, Day, has the entries 3, 4, 5, 6, 7. The second column, Average Speed in miles per hour, has the entries, 55, 58, 63, 65, 68. The third column, Distance in miles, has the entries, 495, 660, 825, 990, 1,155. Given that the days are the independent variable, which dependent variable has a constant rate of change? What is the constant rate of change?

Answers

The Dependent variables are Average speed and Distance and the rate of change in distance is constant.

Day ____ Average Speed __ Distance

3 __________ 55 __________ 475

4 __________ 58 __________ 660

5 __________ 63 __________ 825

6 __________ 65 __________ 990

7 __________ 68 __________ 1155

The dependent variables are Average speed and Distance.

The rate of change is the change in the dependent variable per change in the independent variable.

Average speed :

The rate of change in speed for the different days is not constant.

Between Day 4 and 3 :

58 - 55 = 3

Between Day 5 and 4 :

63 - 58 = 5

Distance in miles :

Rate of change in distance for the different days is constant

Between Day 4 and 3 :

660 - 475 = 165

Between Day 5 and 4 :

825 - 660 = 165

Between Day 6 and 5 :

990 - 825= 165

Between Day 7 and 6 :

1155 - 990 = 165

Therefore, the rate of change in distance per day is 165 for days 3 to 7.

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Answer:

Distance and 165

Step-by-step explanation:

got it right

Find the two roots of 4 49 A) 2 and 7 B) 2 7 and - 2 7 C) 2 and -7 D) -2 and -7

Answers

Answer:

the answer should be 2, -2, 7, -7

Which is the most accurate measurement of 1 mile (Remember, there are 1760 yards in a mile

Answers

What are the answer choices?

Answer: 1755 yards

Step-by-step explanation:

apex

HELP PLZ!!!

In an equilateral triangle, all 3 sides are equal length, and the perimeter of an equilateral triangle is 3 times the length of one side. If one side measures 9 + 3x, and the measure of another side is 5x – 5, what is the perimeter of the equilateral triangle?

Answers

Check the picture below.

Answer:

The perimeter of the equilateral triangle is 90 units.

Step-by-step explanation:

Let the side of the triangle be = s

So, perimeter of equilateral triangle = [tex]s+s+s=3s[/tex]

One side measures 9+3x and the measure of another side is 5x-5.

Both are equal, so we get the sides as:

[tex]9+3x=5x-5[/tex]

[tex]3x-5x=-5-9[/tex]

[tex]-2x=-14[/tex]

x = 7

We get the sides as :

First side [tex]9+3(7)[/tex]

= 30

OR

Second side [tex]5(7)-5[/tex]

= 30

And the third side will also be 30 as it is equilateral triangle.

Hence, the perimeter is = [tex]30+30+30=90[/tex] units

Therefore, the perimeter of the equilateral triangle is 90 units.

Help ASAP please!

The figure shows three quadrilaterals on a coordinate grid:

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of a rectangle labeled A is shown on ordered pair 1, 1 and 3, 1 and 3, 2 and 1, 2. Another image of a rectangle labeled B is shown on ordered pair 2, 2 and 6, 2 and 6, 4 and 2, 4. Another image of a rectangle labeled C is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3 , 2 and negative 3, 1.
Which of the following statements is true about the three quadrilaterals? (5 points)

a
A and B are similar but not congruent.

b
A and C are similar but not congruent.

c
A and B are similar and also congruent.

d
B and C are similar and also congruent.

Answers

9514 1404 393

Answer:

  (a)  A and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

  A and B are similar, but not congruent.

The absolute value of -5 and 5 are ?

Answers

The absolute value of both of them would be 5 because the absolute value sign makes negative numbers positive and positive numbers stay the same

Hey!

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

Absolute Value - the enormity of a number regarding its sign.

|-5| = 5

|5| = 5

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

Hope This Helped! Good Luck!

The number of deer to
hunters is 17:3. Altogether
deer and hunters is 740.
How many deer and how
many hunters on the ranch?​

Answers

Final answer:

The given ratio problem can be solved by converting the ratio to an algebraic equation and solving that equation. The total of deer and hunters on the ranch is 629 deer and 111 hunters.

Explanation:

The given ratio is of deer to hunters is 17:3, and their total sum is given as 740. We solve such problems by converting ratio to equation i.e., 17x + 3x = 740, where 'x' is a constant multiplier.

Adding 17x and 3x gives us 20x = 740. By dividing both sides by 20, we calculate the value of 'x' which is 37.

Substitute the value of 'x' in 17x and 3x, we get the number of deer and hunters as 629 and 111 respectively.

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Find the 15th term for the arithmetic sequence -3,3,9,...

Answers

Answer:

your adding 6 each time so just find the 15th term

Step-by-step explanation:

-3 + 6= 3 and 3+6 = 9

A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inches
How many cubes with edge length 1/5 inch fit in the prism?

Answers

Total 1920 cubes can fit in the given prism.

Given that:

Dimensions of prism are: [tex]2\dfrac{2}{5} = \dfrac{12}{5}[/tex] ,  [tex]3\dfrac{1}{5} = \dfrac{16}{5}[/tex],  and 2 inches respectively.

Size of a side of given cube = 1/5 inch

To find:

Number of cubes that can fit in given prism.

Calculations and explanation:

This problem is all about spaces. Only that number of cube will fit, which the prism will allow to. The given prism has got some space in it(The volume), and the cubes have some size (their volume).

Since prism is a cuboid(which is mistakenly written as rectangular in the question), thus we have:

Volume of prism = multiplication of lengths of its sides = [tex]\dfrac{12}{5} \times \dfrac{16}{5} \times 2 = \dfrac{384}{25}[/tex] cubic inches

Volume of the cube = cube of its one side's length = [tex](\dfrac{1}{5})^3 = \dfrac{1}{125}[/tex] cubic inches

We will divide the total space with space amount each cube take so as to find number of cubes allowed by prism to be fitted in it.

Thus:

[tex]\text{Number of cubes} = \dfrac{\dfrac{384}{25}}{\dfrac{1}{125}} = 1920 \: \rm cubes[/tex]

Thus, in total, there can be 1920 cubes fitted in the prism.

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The rectangular prism can hold 1920 cubes with edge lengths of [tex]\frac{1}{5}[/tex] inch. This is calculated by finding the volume of the prism and dividing it by the volume of one small cube.

To find how many cubes with an edge length of [tex]\frac{1}{5}[/tex] inch fit into a rectangular prism with dimensions [tex]2\frac{2}{5}[/tex] inches, [tex]3\frac{1}{5}[/tex]  inches, and 2 inches, we follow these steps:

Convert the dimensions of the prism into improper fractions:

[tex]2\frac{2}{5}[/tex] inches = [tex]\frac{12}{5}[/tex] inches[tex]3\frac{1}{5}[/tex] inches = [tex]\frac{16}{5}[/tex] inches2 inches = [tex]\frac{10}{5}[/tex] inches

Calculate the volume of the prism:

Volume = [tex]\frac{12}{5} \times \frac{16}{5} \times \frac{10}{5} = \frac{1920}{125}[/tex] cubic inches

Determine the volume of one small cube:

Edge length of a small cube = [tex]\frac{1}{5}[/tex] inch → Volume = [tex]\left(\frac{1}{5}\right)^3[/tex] = [tex]\frac{1}{125}[/tex] cubic inches

Find the number of small cubes by dividing the volume of the prism by the volume of one small cube:

Number of cubes = [tex]\frac{1920/125}{1/125} = 1920[/tex]

Thus, 1920 cubes with an edge length of [tex]\frac{1}{5}[/tex] inch can fit into the given rectangular prism.

Corrected question:

A rectangular prism measures [tex]2\frac{2}{5}[/tex] inches by [tex]3\frac{1}{5}[/tex] inches by 2 inches

How many cubes with edge length [tex]\frac{1}{5}[/tex] inch fit in the prism?

Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade, and the subway.
a. What fraction of his earnings does Mariano put into each piggy bank?
b. If Mariano adds $2.40 to each piggy bank every week, how much does Mariano earn per week delivering papers?

Answers

Answer:

a. Fraction of earnings that Mariano put into each piggy bank  is 1/12

b. Mariano earns $28.8

Step-by-step explanation:

Mariano divides his earning in a saving account and 3 piggy banks.  

First ,  we have to know the fraction that we divide in the 3 piggy banks.

Piggy banks =Total earning-Saving account

Saving account 3/4,  

Total earning is 1

to rest both term we have to get the same denominator , so we can say that the total earning is 4/4

Piggy banks =4/4-3/4=( 4-3)/4=1/4

Piggy banks =1/4

Each piggy bank will be 1/3 of that 1/4

1/3 x 1/4=

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1/3×4=1/12

This fraction cannot be reduced.

b. Mariano adds $2.40

1/12 is 2.40

total earning  is ?

We use cross-multiplication

a/b=c/d  replacing   (1/12)/2.40 = 1/ ?

So,  the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

Final answer:

Mariano puts 3/4 of his earnings in his savings account and divides the rest equally into 3 piggy banks. The fraction of his earnings that he puts into each piggy bank is (1/12)x dollars. Mariano earns 0 dollars per week delivering papers.

Explanation:

To find the fraction of Mariano's earnings that he puts into each piggy bank, we need to calculate 3/4 of his earnings first. Let's assume he earns x dollars per week. Therefore, he puts 3/4 of x dollars into his savings account, which is (3/4)x dollars. The remaining (1/4)x dollars is divided equally into 3 piggy banks. So, each piggy bank gets (1/12)x dollars.

To find out how much Mariano earns per week delivering papers, we need to solve the equation (3/4)x + (1/12)x = x. Simplifying the equation, we get 9x/12 + x/12 = x. This is equivalent to (10/12)x = x. Multiplying both sides by 12, we get 10x = 12x. Subtracting 10x from both sides, we get 2x = 0. Therefore, x = 0.

The pass a quiz students need a score of at least 32 points out of a total of 40 points at least what percent do the students need to pass a quiz

Answers

Answer:

80%

Step-by-step explanation:

To find the percentage, we have to take 32 over 40 and multiply it by 100

32/40 * 100 = 80%

Therefore the students need 80% to pass a quiz :)

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Hank started the month with $531.49 in his bank account. He deposited 2 paychecks during the month into his bank account. One for $240.42 and the other for $281.67. During the month he ended up spending $275.66 on food, $48.29 on gas, and $107.64 and on his phone. He then bought a new iPad which cost him $429.81. How much money was in Hank's account at the end of the month?

Answers

I think it’s $192.18

Answer:

$192.18

Step-by-step explanation:

$531.49+$240.42+281.67

$1053.58-$275.66-$48.29-$107.64-$429.81

=$192.18

Student-Facing Statement
A circle has radius 50 cm. Which of these is closest to its area?

Answers

Answer:

A = 7,850

Step-by-step explanation:

1. Area = 3.14(50)^2

2. A = 3.14(2500)

3. A = 7,850

Other Questions
A pilot claims to have seen a UFO moving initially at a speed of about 351 m/s in an easterly direction and then, in a time interval of only 1.0 s, turning 48 south of east and moving at 351 m/s. Compute the UFO's average acceleration during the turn. Find Magnitude and direction During the Constitutional Convention, what issue did the Three-Fifths Compromise attempt to solve? Write .46 as a fraction Are budgets part of the performance measurement system or the performance reward system? a. Part of neither the performance measurement system nor the performance reward system b. Part of both the performance measurement system and the performance reward system c. Part of the performance reward system only d. Part of the performance measurement system only An astronaut weights 588 N in Earth surface. How much the astronaut would weight in the surface in the moon in pounds(lbs)? Benzene has a heat of vaporization of 30.72 kJ/mol and a normal boiling point of 80.1C. At what temperature does benzene boil when the external pressure is 445 torr? A balloon has a volume of 3.50 liters at 20.0C. What will be the volume of the balloon at 100.0C? Assume the pressure doesn't change and the amount of gas in the balloon doesn't change O a. 0.224 Ob.2.75L O c. 17.5L O d. 65.45 Oe. None of the above Read the passage.Size matters when you are hosting a conference. Trenton Place is the largest convention center in the country, boasting 2.6 million square feet of space. Over the course of a year, Trenton Place will host over three million visitors for public exhibitions and trade shows. Trenton Place is also home to Big Sky Theater. The theater is one of the largest theaters in the city, equipped to host concerts, plays, and seminars.What is the best use of ellipses to shorten the passage?A. Size matters when you are hosting a conference. . . . the largest convention center in the country, boasting 2.6 million square feet of space.B. Trenton Place is also home to Big Sky Theater. . . . one of the largest theaters in the city, equipped to host concerts, plays, and seminars.C. Over the course of a year, Trenton Place will host over three million visitors for public exhibitions and trade shows. . . . home to Big Sky Theater.D. Trenton Place is the largest convention center in the country. . . . Trenton Place will host over three million visitors for public exhibitions and trade shows. A group of humans traveling in space discover a habitable planet. They settle down there and start populating it. Their population grows at a steady rate and doubles every 10 years. Thousand years after the first group of humans arrived, the planet is filled to half its carrying capacity. How many more years are there to reach the carrying capacity of the planet? Assume there are no resource crisis and they grow at the same rate. A) 500 yearsB) 1000 yearsC) 5 yearsD) 1 yearE) 10 years The IllegalArgumentException class extends the RuntimeException class, and is therefore:a.) a checked exception class b.) an unchecked exception class c.) never used directly d.) None of these Which equations represent the line that is perpendicular to the line 5x 2y = 6 and passes through the point (5, 4)? Select three options. y = Two-fifthsx 2 2x + 5y = 10 2x 5y = 10 y + 4 = Two-fifths(x 5) y 4 = Five-halves(x + 5) Which term names a tempo marking on a music score1. allegro2. staccato3. forte4. legato A farmer has 96 feet of fence with which to make a corral. if hearranges it iinto a rectangle that is twice as long as it is wide,what are the dimensions? Which of the following was an American weakness during the Revolutionary War?A) Americans were not used to wilderness warfare.B) Americans faced hostile farmers in the countryside.C) Because of low pay, many men only enlisted for three months.D) There were too many hired soldiers fighting for the Patriots. Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 18 gallons of fuel, the airplane weighs 1999 pounds. When carrying 46 gallons of fuel, it weighs 2153 pounds. How much does the airplane weigh if it is carrying 58 gallons of fuel? The owner of a pizza-by-the-slice shop has determined the marginal cost for his company is $1.50. His daily fixed costs are $125. What is the total cost to sell 300 slices in one day? Write the equation in slope intercept form. A housing development was occupied by 12 people. During January 2016, 6 more people move into the development. During each subsequent month, 4 more people move into the development than moved in during the previous month. Assuming nobody dies or moves out of the development, work out how many people occupy the development on 31 March 2017. Plato math help please Place the following in order from least to greatest. 74.6, -74.69,-74.069, 74.59