A rectangular-shaped dining room table is modeled by the figure given below. A) Write an equation to represent the area of the dining room table. B) If the the area of the table is 112 ft2, what are the dimensions of the dining room table?

A Rectangular-shaped Dining Room Table Is Modeled By The Figure Given Below. A) Write An Equation To

Answers

Answer 1

Answer:

A) (x+10)(x+4) = ?

B) (x+10)(x+4) = 112, solve for x

Step-by-step explanation: you multiply the two equations to get the area.

Answer 2

Answer:

a)[tex](x^{2} +14x+40)ft^{2}[/tex]

b)14ft, 8ft

Step-by-step explanation:

a) Area of Rectangle = Length x Breadth

= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]

b) Given Area of rectangle = [tex]112ft^{2}[/tex]

[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]

Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]

In this case, a = 1, b = 14, c = -72

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]

We reject negative values.

so x = 4,

The length of table = (x+10) ft = 4+10 = 14ft

The breadth of the table = (x+4) ft = 4 + 4 = 8ft


Related Questions

how much is 10 cents + 7 dimes + 1 quater equals?

I'm trying to make a dollar ​

Answers

Answer:

5 pennies = 1 nickel1 nickel = 5 pennies1 nickel + 5 pennies = 1 dime1 dime = 1 nickel + 5 pennies10 pennies = 1 dime1 dime = 10 pennies2 nickels = 1 dime1 dime = 2 nickels5 nickels = 1 quarter1 quarter = 5 nickels2 dimes + 1 nickel = 1 quarter1 quarter = 2 dimes + 1 nickel4 nickels + 5 pennies = 1 quarter1 quarter = 4 nickels + 5 pennies2 dimes + 5 pennies = 1 quarter1 quarter = 2 dimes + 5 pennies10 pennies + 3 nickels = 1 quarter1 quarter = 10 pennies + 3 nickels1 dime + 2 nickels + 5 pennies = 1 quarter1 quarter = 1 dime + 2 nickels + 5 pennies1 dime + 1 nickel + 10 pennies = 1 quarter1 quarter = 1 dime + 1 nickel + 10 pennies2 quarters = 1 half dollar1 half dollar = 2 quarters5 dimes = 1 half dollar1 half dollar = 5 dimes

5 nickels + 1 quarter = 1 half dollar1 half dollar = 5 nickels + 1 quarter3 dimes + 4 nickels = 1 half dollar1 half dollar = 3 dimes + 4 nickels4 dimes + 2 nickels = 1 half dollar1 half dollar = 4 dimes + 2 nickels1 quarter + 1 dime + 2 nickels + 5 pennies = 1 half dollar1 half dollar = 1 quarter + 1 dime + 2 nickels + 5 pennies2 half dollars = 1 one dollar coin1 one dollar coin = 2 half dollars5 dimes + 10 nickels = 1 one dollar coin1 one dollar coin = 5 dimes + 10 nickels1 one dollar bill = 1 one dollar coin1 one dollar coin = 1 one dollar bill4 quarters = 1 one dollar bill1 one dollar bill = 4 quarters3 quarters + 2 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 3 quarters + 2 dimes + 1 nickel10 dimes= 1 one dollar bill1 one dollar bill = 10 dimes1 quarter + 7 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 1 quarter + 7 dimes + 1 nickel2 quarters + 2 dimes + 5 nickels + 5 pennies = 1 one dollar bill

Step-by-step explanation:

This program simplifies our complex monetary system by familiarizing users with common combinations of coins and bills that are equivalent in value. Starting with five pennies equal one nickel, the program works up to equivalents for a twenty dollar bill.

Answer:

$1.05

Step-by-step explanation:

1 dime = 10 cents so 7 dimes = 70 cents
1 quarter = 25 cents

Therefore 10 cents + 7 dimes + 1 quarter = 10 + 70 + 25 = 105 cents = $1.05

please help 8 points each but beware if you use my points for no reason I'll report you

Answers

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

Explanation -:

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

r stand for radius.Assuming π as 3.

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

Which of the following can be used to describe the rectangle below?


A rectangle is shown.


A.

All angles are acute.


B.

Opposite sides are perpendicular.


C.

The opposite sides are parallel.


D.

All sides are the same length.



I really need help please

Answers

the answer would be C

Answer:

B or C It depends on the definition of opposite sides

Step-by-step explanation:

Perpendicular lines bisect eachother. Parallel lines would never touch eachother.

4.2v - 5 - 6.5v
simplify the expression

Answers

If you subtract 6.5v from 4.2v it will be -2.3v-5 so the answer is -2.3v-5
5-2.3v because you combine like terms

Three-eighths of the students in a certain class are males and 3/5 of the male

students in the class are accounting majors.

If 1/4 of the female students in the class are accounting majors, what fraction of

the students in the class are NOT accounting majors?

Answers

Answer:

3/5 of the students in the class are not in accounting majors

Step-by-step explanation:

The total number of males in the class is 3/8

3/5 of them are accounting majors

The ones who are not in accounting majors are;

3/8 - 3/5 = 9/40

The total number of female students in the class is;

8/8 - 3/8 = 5/8

1/4 of them are accounting majors

The ones who are not in accounting majors are;

5/8 - 1/4 = 3/8

Total number of students not in accounting majors;

9/40 + 3/8

= 24/40

= 3/5

if the students in class are not accounting majors it’s 3.5

Fill in the blanks based off the graph. (I added pictures)


Thanks :) 20 pointss!!!

Answers

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

What is the hypotenuse? Round to the nearest tenth.

Answers

Answer:

c = 14.6

Step-by-step explanation:

[tex]\textrm {Applying the Pythagorean Theorem : }[/tex]

⇒ a² + b² = c²

[tex]\textrm {Here, we are given :}[/tex]

⇒ a = 4

⇒ b = 14

[tex]\textrm {Solving :}[/tex]

⇒ c² = 4² + 14²

⇒ c² = 16 + 196

⇒ c² = 212

⇒ c = √212

c = 14.6 [tex]\textrm {(nearest tenth)}[/tex]

By using a2+b2=c2 and plugging the legs as a and b and the hypotenuse for c, you square them and square root them and you should get 14.6

What is the surface area of this cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.


_____ square meters.


Help

Answers

Answer:

  3504.24 square meters

Step-by-step explanation:

You want the surface area of a cylinder of radius 18 m and height 13 m.

Surface area

The surface area of a cylinder is given by the formula ...

  A = 2πr(r +h)

  A = 2(3.14)(18 m)(18 m +13 m) = 3504.24 m²

The surface area of the cylinder is about 3504.24 square meters.

<95141404393>

PLEASE HELP!!!!!
The cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?

Answers

40/10=4

Therefore: 1 cupcake costs 4 dollars
It’s 4,
When trying to find out how much one thing is from a group ex: ur question.
You want to divide your first price (40) by the number of items (10) which equals 4
40/10=4

Can someone help me with this as well? (I think I put 50 points for whoever answers this? ) Pls and ty!

I suck at math lol

Answers

Answer: G.

Step-by-step explanation:

The formula for a circle's circumference is C = 2[tex]\pi r[/tex]

r = radius

We know the rectangle ABCD has a perimeter of 72 cm.

The rectangle is divided into 6 perimeter sides: AP, PB, BC, CQ, QD, and DA.

If we divide 6 sides to the rectangle's perimeter, we can calculate the length of one side.

72 / 6 cm = 12 cm

A side of the perimeter of the rectangle ABCD is equal to 12 cm, which means PQ, the radius of the circle is equal to 12 cm.

C = 2[tex]\pi r[/tex]

radius = 12 cm

C = 2[tex]\pi[/tex] * 12 cm

C = 2 * 12 * Pi cm

C = 24[tex]\pi[/tex]

Answer = G.

Hope I Helped!

Answer:

24pi (G)

Step-by-step explanation:

This question might seem hard at first, but we know one crucial piece of information- line PQ- is the circle's radius. We also know that Q "fits perfectly" on line DC, and that angle QPB is a right angle. Since the line is straight and passes through THE MIDDLe of the rectangle, we can assume that line PQ divides the rectangle into two squares. Since squares have 4 corresponding sides, or sides with the same length, we can rewrite the equation as x+x+2x+2x, which is 6x = 72. Apply and find your answer.

EASIER EXPLANATION:

the radius is at a right angle, meaning it divides the rectangle into two squares.

It is stated that the perimeter of the rectangle is 72, meaning if we write it into an equation where x = short sides and y = long sides.

x+x+y+y = 72

However, the long sides really equal 2x, so we can rewrite the equation

x+x+2x+2x = 72

Simplify

X+x+x+x+x+x = 72

Simplify more

6x = 72

solve

x = 12

We also know that 2x is the dimeter, which is 24.

Apply to the circumference equation

C= Dpi

Since all our answeres are in pi form, we don't need to solve

ANSWER= 24

If the rectangles above are boards for a tree house, which one uses the best
measurements?
A. Rectangle A
B. Rectangle B
C. Rectangle C

Answers

Answer:

option A

Explanation:

General measurement for a treehouse:

2.5 m × 2.5 m8 feet × 8 feet6' × 6'

For best measurement, option A is correct.

In option B and C, the measurement is too small for the tree house.

Answer c will be it because it give more information on the pictures and it go with the question

Given conversion factor 12 in/ 1 ft, what is the above line segment's unit of
measure in feet? Round your answer to the nearest tenth.

Answers

Answer:

7.0

Step-by-step explanation:

84.5/12=7.046666667
=7 feet when rounded

Monroe Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this
morning, even though the Vitamin A supplements come in packs of 4 and the Vitamin D
supplements in packs of 7. What is the smallest number of each type that the store could
have sold?
supplements

Answers

Answer:

28 supplements

Step-by-step explanation:

4 x 7 = 28

7 x 4 = 28

Monroe vitamin shop sold equal quantities of vitamin a and d supplements

Ms.Kelly wants to give her kids cookies but the all need to be the same amount of cookies she has 14.5 cookies for 2 kids. How many cookies does Ms. Kelly give each kid?

Answers

Answer:

7.25 cookies to each kids

Step-by-step explanation:

14.5 divided by 2

The answer is 7.25 cookies which is 14.5 cookies divided by 2 kids.

i need help 25 points?

Answers

Answer:

Head Tails

Step-by-step explanation:

I hope this helps:)

The answer to this question is heads tails

Dilate the figure by the scale factor. Then enter the new coordinates.
K= 3

Answers

Answer:

which figure?????????????????????????????/

Step-by-step explanation:

i

where’s the figure ?

i attached the question :D

Answers

Answer:

$ 2155.62

Step-by-step explanation:

regular pay rate = 11.10

overtime pay rate = 1.8 * 11.10

142 *  $11.10        +         29 * ( 1.8 * $ 11.10)        =   $  2155.62

The answer is 2155.62 dollars

Simplify.

4n + 12 + 7n

A. 4 n + 19
B. 23 n
C. 16 n + 7
D. 11 n + 12

Answers

Answer:

D. 11n + 12

Step-by-step explanation:

You can simplify the 4n + 7n to be 11n by adding them together.

This means the answer is 11n + 12.

The answer to the problem is letter D

Please help me with this (i attached photos to cause less confusion)

Thanks :) 25 Points!!!

Answers

Answer:

See below

Step-by-step explanation:

The first two questions are slope = 0

   a horizontal line has zero slope  

            slope = rise/run  = 0 / run = 0

Greatest y value is + 4   from x = 3 to 4

the least y value is -3 fro x = -4 to -3

horizontal line has zero slope
slope=rise/run=0
#1) and #2) both are slope=0
greatest y value is +4 from x=3 to 4.
then least y value is -3 from x=-4 to -3.

Lola started a swimming lesson at 1:30 p.m. that lasted for 45 minutes.
Then she read a book for 35 minutes.

What time did she finish her swimming lesson and what time did she finish reading

Answers

Answer:

She finished swimming lesson at 2:15 p.m.

and reading book at 2:50 p.m.

Step-by-step explanation:

I hope this helped (:

Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.

She then spent 35 minutes reading a book.

To determine the time did she finish her swimming lesson and the time did she finish reading.

swimming  end time = began time + class duration

swimming  end time = 1:30 p.m. + 45 minutes

swimming end time = 2:15 p.m.

reading end time = began time + reading duration

reading end time = 2:15 p.m. + 35 minutes

reading end time = 2:50 p.m.

Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x²+6x+16 as an example.

Answers

Answer:

In vertex form: y = 1(x - (-3))² + 7

Vertex: Minimum (-3, 7)

Explanation:

Vertex form: y = a(x - h)² + k

Completing square (rules) :

1st rule: (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²

2nd rule: x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Given equation:

y = x² + 6x + 16

y = x² + 2(3)x + 3² + 7

y = (x + 3)² + 7

Into vertex form:

y = 1(x - (-3))² + 7

From this identify:

a = 1, h = -3, k = 7

Solution, vertex of this equation: Minimum (-3, 7)

So you find the a and b in (x-a)^2+b. A is 3 and b is 7.

Correct answers only. Vertical angles, complementary angles, supplementary angles, none of the above. If ur answer is incorrect, I will report u : )

Answers

Answer:

supplementary angles

Step-by-step explanation:

the two angles add up to 180 degrees, which is the definition of supplementary angles.

supplementary angles

John works as a part time waiter in a restaurant. He gets a monthly salary of ₹4,410.Calculate John’s daily, weekly and annual salary.(Take 1 month= 30 days)

Answers

1 month is aprox. 30 days, so

To find john's daily salary:

For a month, the salary is 4,410 rupees, so for a day how much?

days     salary

30          4,410    (This is how I learnt to solve these kind of problems)

1               ?

Then you crisscross the equation which becomes

4,410/30=147 rupees

To find weekly salary:

we now know the salary for one day so we can say: For a day, the salary is 147 rupees, so for 7 days (1 week) how much?

You multiply the salary for one day and the number of days: 147×7=1,029 rupees

To find salary for a year (annual):

we now know the salary for one day so we can say:  For a day, the salary is 147 rupees, so for 365 days (1 year) how much?

You multiply the salary for one day and the number of days: 147×365=53,655 rupees

Hope it helps!

Daily=147
Weekly=1,029
Yearly=53,655

(01.02 HC)Andrew is showing his work in simplifying (−5.7 + 2.2) − 1.1.

Step 1: (2.2 − 5.7) − 1.1
Step 2: 2.2 − (5.7 + 1.1)
Step 3: 2.2 − (6.8)
Step 4: −4.6

Which statement is true?
1. In step one andrew used the commutative property
2. in step 2 andrew used distributive property
3. in step 3 andrew used the associative property
4. In step 4 andrews answer is incorrect

Answers

Answer: A

Step-by-step explanation:

Let's fact check all the answer choices:

A. He used the commutative property

Well, the commutative property states that you can put the equation in any order and the result doesn't change. In step1, andrew makes the equation  -5.7+2.2 into 2.2-5.7. Both of these equations equal -3.5, so yes, he used the commutative property.

B.He used the distributive  property.

We know this is wrong because the distributive property involves multiplication. An Example of an equation that involves the distributive  property is 3(2+1), or 3x(2+1).

C. He used the associative property.

This is wrong because the associative  property involves grouping the equation into different parentheses , which doesn't happen.

D.  The answer is incorrect

Using a calculator , we know this is wrong.

Hope this helps :)) Also if i could have brainliest id really appreciate it :D

Answer:

4.6

Step-by-step explanation:

8TH GRADE GEOMETRY:100 POINTS+BRAINLIEST: Please answer the question and explain how you did it. Also, please tell me what a "radii" is. Any absurd answers for the sake of points will be reported thanks :)) !!!

Answers

Answer:

Option B       1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

[tex]V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h[/tex]  where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio.  Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}[/tex]

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}[/tex]

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}[/tex]

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

should be answer B shahs

how much is 10 cents +6 dimes + 5 cents equal?
is it equal to a dollar?​

Answers

Answer:

75 ¢

Step-by-step explanation:

10 cents +6 dimes + 5 cents equals  75 cents   or   3/4 of a dollar

Its 85 cents, it doesn’t equal a dollar

I WILL GIVE BRIANLIEST FOR FASTEST AND CORRECT ANSER

Answers

Answer: C

Step-by-step explanation:

Step 1: Find the unit rate (tomatoes  per  bowl)

Last time, the ratio was 9:12, or 9 tomatoes for 12 bowls of soup. To finndd the unit ratet, dividde the ffirst given unnit by the 2nd. In this case, tomatoes is the first unit, and bowls is the second. So the unit rate is:

9÷12= 0.75, or 3/4 of a tomato  per bowl of soup.

Now, the  ratio is 6:8, or 6 tomatoes for 8 bowls of soup. The unit rate is

6÷8= 0.75, or 3/4of a tomato per bowl of soup.

Step 2: Compare

As you can see, the number of tomatoes per bowl of soup hasn't changed at all. So the answer is C.

Hope this helps :)

Answer:

Todays’s soup will taste the same.

Step-by-step explanation:

9 tomatoes for every 12 cups of soup- ratio= 9/12=3/4

6 tomatoes for every 8 cups of soup- ratio=6/8=3/4

They both end in the same ratio, which is 3/4.

Determine whether the given value is a solution to the inequality. Enter yes or no.

8 ≠ 3p + 2; p = 2

Answers

Answer:  No

Explanation:

Replace p with 2 and simplify

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

We get a false claim, so the original inequality 8 ≠ 3p + 2 is false when p = 2. Meaning that p = 2 is not a solution.

If the "not equal" sign was changed to an equal sign, then we would have a solution.

Answer:

no / false

Step-by-step explanation:

If we set the "p" in this equation to be equal to 2 (p = 2), we can test this inequality:

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

FALSE STATEMENT

so, p = 2 is not a solution to this inequality

(no)

hope this helps!!

{"≠" means the opposite of = [the two sides of the equation are not equal, which is not true for this situation] }

PLS ANSWER ASAP- THIS IS A 7th GRADE QUESTION AND IF UR ANSWER IS THE FIRST AND CORRECT, I WILL MARK BRAINLIEST

Answers

Answer:

x = 6

Explanation:

scale factor × original dimension = dilated dimension

inserting values:

0.25 × x = 1.5

0.25x = 1.5

x = 1.5/0.25

x = 6

X= 6
The scale factor is the scale between two objects,
The scale factor is 0.25
1.5 divided by 0.25 equals 6

Therefore x equals 6


please help! i suck at these lol

Answers

All you need to do is isolate x by adding both sides by 5, then you get

x is greater than or equal to 3.

A closed/dark dot means that it is equal to and greater/less than, while an open/white one means it is only greater/less than.

Greater than always means traveling towards the positive (right) side, and the opposite for less than.

Therefore your answer is the last option

Hope this helped :)

Answer:

D (Last one)

Step-by-step explanation:

You already know the sign is> with an underline under it, meaning it had to be whole. Next, you need to simplify the equation and you would get the last one.

Other Questions
company leaders expect advertising agencies to produce tangible outcomes with an increasing emphasis on ______. Solve the following word problem.Money is invested at two rates of interest. One rate is 8 % and the other is 2%. If there is $1300 more invested at 8 % than at 2 %. find the amount invested ateach rate if the total annual interest received is $350. Let x = amount invested at 8% and y = amount invested at 2 %. Then the system that models the problem[x = y + 1300isSolve the system by using the method of addition.0.08x +0.02y = 350, Which of the following is not a characteristic of lipids?a. They enhance the flavors of foods.O b. They contribute to satiety.O c. They enhance aromas.O d. They provide abundant energy in small packages.Oe. They are beneficial to health irrespective of their intake. Sum to n terms of each of following series. (a) 1 - 7a + 13a ^ 2 - 19a ^ 3+... My dog Zeus won at the country dog show. What can be concluded about Zeus? Ideas spread from one group to another by the process of _____A. CultureB. Cultural dispersionC. DiasporaD. Cultural diffusion What is the length of line segment c d? round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm Write a story that ends with "but everybody was happy Zac releases the air from a balloon. Which statement best describes what will happen to the air that was inside theballoon?O It will become more compacted.O will remain the shape of the balloon but not the size.O It will remain the size of the balloon but not the shape.It will expand to fill the room. Mayor WantedIn this activity option, imagine you and your partners were asked to write a job description for the mayor of a new city. The city has 10,000 people living there. Most people work for a factory that packages and ships prepared foods or for the local schools. The city needs people to run for mayor in the upcoming election. You will determine what a person running for mayor of this city needs to know and be able to do.Steps:Discuss life in this community with your partner or group. What might be happening in their news? Are most of the people younger, older, or in between? How do they spend their free time?Make a list of concerns that people would have in this city. Each partner or group member should list at least three concerns.Discuss the job of mayor for this city. Make a list of the qualities, skills, and experiences a mayor should have to serve the city well. Each partner or group member should list at least three qualifications. Consider the concerns your group listed in the previous step.Create a job description for a new mayor. Base it on your discussion and work with your group. People interested in running for mayor should know from your job description whether they are qualified to run. You could make it in a newspaper advertisement or article format. Be sure to include at least three qualifications that your group agreed on.For your S2 Collaborate, be sure to turn in:Brainstorm list (concerns in the city, qualifications for mayor)Evidence of group discussion (emails or other communication about the city)Mayor Job Description According to Steven Pinker, all of the following have gone down over the last 100 years, but for what Give the name (monomial,binomial, trinomial etc.) anddegree of the polynomial.15xName? [?]Degree? [ ] In which island of the greater antillies were both kalinagos and tainos found at the end of the fifteenth century The North was on the verge of victory prior to Lincolns 2nd Inaugural address. He chooses words and analogies that are humble; he does not brag about victory nor blame one side. Why would he want to avoid blaming either side? Solvex + 5-6 = 7.OA. x = -8 and x = -18OB. x = 8 and x = -8C. x = -8 and x = 18OD. x = 8 and x = -18 Unlike early federal-government responses to the Great Depression, FranklinD. Roosevelt's New Deal programs:A. Expanded the governments role in the economy.B. Reduced spending to account for falling revenue.C. Allowed banks to fail if they ran out of capital.D. Created high tariffs to encourage domestic spending. [tex]\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }[/tex]solve this equation Does this graph represent a function? Why or why not? What is an operation? A. A process performed with numbers B. A way of showing an equality C. A symbol D. A type of acceleration To what orientation of philosophy do you adhere?