how do I do this on a line?[tex]3 \ \textless \ 2x - 3 \leqslant 13[/tex]

Answers

Answer 1

Let the inequality:

[tex]3\text{ }<\text{ 2x - 3}\leq\text{ 13}[/tex]

1. we add + 3 :

[tex]3\text{ +3}<\text{ 2x }\leq\text{ 13}+3[/tex]

this is equivalent to :

[tex]6<\text{ 2x }\leq\text{ 1}6[/tex]

we resolve for x ( we divide by 2) :

[tex]3<\text{ x }\leq8[/tex]

that is the interval:

[tex](3,\text{ 8}\rbrack[/tex]

on the real line, the interval is:

On the other hand, the inequality:

[tex]-2\text{ }<\frac{3+x}{4}\leq\text{ 3}[/tex]

1. Multiply by 4:

[tex]-8\text{ }<3+x\leq12[/tex]

2. Add -3:

[tex]-11\text{ }that is the interval:

[tex](-11,\text{ 9}\rbrack[/tex]

on the real line, the interval is:

How Do I Do This On A Line?[tex]3 \ \textless \ 2x - 3 \leqslant 13[/tex]
How Do I Do This On A Line?[tex]3 \ \textless \ 2x - 3 \leqslant 13[/tex]

Related Questions

Please help with linear equations See attached pic to understand problem more clearly

Answers

Given the system of equations. We have:

- For (5,0)

Substitute x = 5 and y = 0 in the equations:

[tex]\begin{gathered} 5(5)+4(0)=-1 \\ 25+0=-1 \\ 25\ne-1 \end{gathered}[/tex]

Answer: No

- For (-7, -8)

x = -7 and y = -8

[tex]\begin{gathered} 5(-7)+4(-8)=-1 \\ -35-32=-1 \\ -67\ne-1 \end{gathered}[/tex]

Answer: No

- For (3, -4)

[tex]\begin{gathered} 5(3)+4(-4)=-1 \\ 15-16=-1 \\ -1=-1 \\ \text{and} \\ 3(3)-2(-4)=-5 \\ 9+8=-5 \\ 17\ne-5 \end{gathered}[/tex]

This is satisfied for the first equation but not for the second. Therefore it is not a solution to the system.

Answer: No

- For (-2, -2)

[tex]\begin{gathered} 5(-2)+4(-2)=-1 \\ -10-8=-1 \\ -18\ne-1 \end{gathered}[/tex]

Answer: No

HELP ME QUICKLY!!!
What is the equation of a line with a slope of 6 and à
y-intercept of 8.
A) y=6x+8
B) y=8x+6
C) y=48x
D) y=6x-8

Answers

Answer:

Equation of the line is 6x−y+8=0.

So I think Its A

Step-by-step explanation:

I rlly hope it helps u lol

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?

Answers

The expression which is equivalent to fog(x), is

fog(x) = 3x² + 5

Given, the functions f(x) and g(x), as follows

f(x) = 3x + 2 and g(x) = x² + 1

Now, we have to find the fog(x),

fog(x) = 3( x² + 1 ) + 2

fog(x) = 3x² + 3 + 2

fog(x) = 3x² + 5

So, the value of fog(x) = 3x² + 5

Hence, the expression which is equivalent to fog(x), is

fog(x) = 3x² + 5

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Is y-8= -x a linear equation?

Answers

no because it is not in y=mx+b formation

Solve the problem involving probabillities withindependent events.A single die is rolled twice. Find theProbability of getting a 6 the first time anda 3 the second time.

Answers

Solution

If a single die is rolled twice, we would have

[tex]P((6,3))=\frac{1}{36}[/tex]

Han finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in terms of its radius r in inches. This is the graph Han gets if he allows r to take on any value between -1 and 5.

What would be a more appropriate domain for Han to use instead?

What is this asking I don't understand

Answers

The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.

Given that,

Han discovers an equation for S(r) that, in terms of the radius r in inches, yields the surface area in square inches of any cylindrical container with a particular fixed volume. If Han lets r to take on any value between -1 and 5, he will obtain the graph shown above.

The more appropriate domain to use

The function's finishing graph is added as an attachment.

We can make the following observations based on the graph.

Minimum x value = 0

Maximum x value = 4

The following is a representation of the domain of the function's graph:

Minimum x value  <=  x <= Maximum x value

Substitute the known values in the above equation

So, we have

0 <= x <= 4

0 and 4 are represents a more appropriate domain.

The minimum surface area

The graph that completes the function is added as an attachment

From the graph, we have the following observation

Minimum y value = 20

20 is the minimum surface area of the cylindrical can.

Therefore, The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.

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Yuvia works in a computer store, where she earns a commission of 8 percent of her sales. On monday, her sales were $2,500. She calculates the amount she made on commission: ($2,500)(0. 08) = yuvia also earns a base salary of $45 per day. What is the total amount she earned that day? [total salary = base pay + commission].

Answers

If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

What is percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Write the equation y= 4/3 x + 2 in standard form also please Include step by step process

Answers

The standard form of the equation of the line

The equation of the line can be expressed in several forms. One of them is the standard form:

Ax + By = C

Where A, B, and C are constants, and x and y are the variables.

We have the equation:

[tex]y=\frac{4}{3}x+2[/tex]

Multiplying by 3:

[tex]3y=4x+6[/tex]

Subtracting 4x:

[tex]-4x+3y=6[/tex]

Is the required standard form of the line

Y=-3|x+2|+8 Slope of the rays

Answers

The slopes of the rays of the absolute value function, y = -3·|x + 2| + 8 are 3 and -3

What is an absolute value function?

In an absolute value function, an algebraic expression is contained within an absolute value symbol.

The given absolute value function is; y = -3·|x + 2| + 8

The slope of the rays are found as follows;

The general form of the absolute value function is; f(x) = a·|x - h| + k

The vertex of the function is the point (h, k)

The slope of the function is a

Comparing the specified function, y = -3·|x + 2| + 8, to the general function, we get;

The vertex of the function is (h, k) = (-2, 8)

The slope of the rays of the function are; a = 3

Slope of the ray 1 = (8 - (-19))/(-2 - (-11)) = 3

Slope of ray 1 is therefore; 3

Slope of ray 2 = (8 - (-19))/(-2 - 7) = -3

The slope of the ray 2 is therefore; -3

The slope of the rays are; 3 and -3

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20 hours and earns $210.00

Answers

Answer:

$10.5/hr

Step-by-step explanation:

210/20=10.5

I am going to have to send you a photo of the problem because it is to large to crop into this.

Answers

Solution

we need to convert the following expression:

four less than half a number n

Then the best answer is:

[tex]\frac{1}{2}n-4[/tex]

Please help me i need this answer in less than 15 minutes. What is -1 5/8 estimated?

Answers

Answer:

[tex] - 120[/tex]

that would be your answer thank you very much

Need help asap!!!!!!
The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
Define your variables.

Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

What is the slope of the line? Show your work

Write the equation of the line in point-slope form. Show your work

Write the equation of the line in slope-intercept form. Show your work.

Answers

The equation of the line in point-slope form is; y=1.25 x+12.5 The slope of the line is 1.25.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y is the total cost at the county fair and x is the number of tickets per ride

The variable in the linear equation;

y=mx+c

m=Cost per ticket ride

c= fair admission price

Given that;

y=$43.75

m=$1.25 per ticket ride

x=25 tickets

c=unknown

Now replacing;

43.75=(1.25×25)+c

c=43.75-31.25

c=12.5

The fair admission price will be; 12.5 dollar

The equation of the line in point-slope form is; y=1.25 x+12.5

The slope of the line is 1.25.

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select all pairs of ratios that form a proportion.

A. 1/6,4/20

B.7/9 ,28/36

C. 14/18 ,21/27

D. 30/80 , 6/18

Answers

All the pairs of ratios that form a proportion are;

B. 7/9, 28/36

C. 14/18, 21/27

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

All the ratio are,

A. 1/6,4/20

B.7/9 ,28/36

C. 14/18 ,21/27

D. 30/80 , 6/18

Now,

Solve the ratio in simplest form as;

A. 1/6, 4/20

1/6 = 1 / 6

And, 4 / 20 = 1 / 5

Thus, It is not form a proportion.

B. 7/9, 28/36

7 / 9 = 7 / 9

And, 28 / 36 = 7 / 9

Thus, It is form a proportion.

C. 14/18 ,21/27

14 / 18 = 7 / 9

And, 21 / 27 = 7 / 9

Thus, It is form a proportion.

D. 30/80 , 6/18

30 / 80 = 3 / 8

And, 6 / 18 = 1 / 3

Thus,  It is not form a proportion.

Therefore, All the pairs of ratios that form a proportion are;

B. 7/9, 28/36

C. 14/18, 21/27

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What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯?
Enter your answer by filling in the boxes.

Answers

The coordinates of the midsegment are :

T ( 0 , 2 ) where x axis 0 and y axis is 2

S ( 8 , 0 ) where x axis is 8 and y axis is 0

R ( 0 , 6 ) where x axis is 0 and y axis is 6

All the points are mentioned in the first quadrant and

The coordinates of the midsegment are :

T ( 0 , 2 ) where x axis 0 and y axis is 2 this means we move 2 units from the origin towards right and 0 units from the x axis thus the y axis is 0

Similarly you can observe for the rest of the two points

S ( 8 , 0 ) where x axis is 8 and y axis is 0

R ( 0 , 6 ) where x axis is 0 and y axis is 6

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How do I solve this?

10-7(3 + 2) +7²

Answers

Answer:

24

Step-by-step explanation:

10 - 7(3 + 2) + 7²

10 - 7(5) + 49

10 - 35 + 49

10 - 35 = -25

-25 + 49 = 24

I hope this helps!

Person is right because you use P E M D A S as your strategy

Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. P(h) =P. e-0.00012h In this function, Po is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 65% of the air pressure at the surface of the Earth?


A. 0.65 m

B. 5416.7 m

C. 3587.4 m

D. 3589.9 m

Answers

3589.9 m is the height at which air pressure equals 65% of the air pressure at the surface of the Earth

How to find the height at which air pressure equals 65% of P₀?

Given: the function P(h) =P₀ e^(-0.00012h)

When air pressure equals 65% of the air pressure at the surface of the Earth. That means P = 0.65P₀

Substitute P = 0.65P₀ into the function:

P(h) = P₀ e^(-0.00012h)

0.65P₀  = P₀ e^(-0.00012h)

Dividing both sides by P₀ gives:

0.65  = e^(-0.00012h)

Take ln of both sides (ln is the inverse of e):

ln 0.65 = -0.00012h

h = ln 0.65/ (-0.00012)

h = 3589.9 m

Therefore, the height at which air pressure equal 65% of the air pressure at the surface of the Earth is 3589.9 m. Option D is the answer

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I need help with this math hw its' in the image

Answers

Answer:

x = 7y = 37

Step-by-step explanation:

You want to know the values of x and y that make the angle measures consistent with the triangles being congruent in the given figure.

Congruence

The side markings show congruent triangles with corresponding vertices (and angles) ...

  L (3x+24)° ⇔ P (8x -11)°

  M 84° ⇔ Q 84°

  N (2x +y)° ⇔ R (no marking)

Corresponding angles L and P have the same measure, so ...

  3x +24 = 8x -11

  35 = 5x . . . . . . . . add 11-3x

  7 = x . . . . . . . . . divide by 5

The measures of these angles are ...

  (3(7) +24)° = 45°

Angle sum theorem

The sum of the angles in each triangle is 180°, so the measure of angle N is found to be ...

  L +M +N = 180°

  45° +84° +N = 180°

  N = 51°

This lets us find the value of y from ...

  (2x +y)° = 51°

  2(7) +y = 51

  y = 37 . . . . . . . . subtract 14

The value of x is 7. The value of y is 37.

Find the rate of change for each interval solve 2

Answers

we will use the next formula to find the rate of change of the given interval

[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]

in our case

a=-3

b=6

[tex]f(-3)=10\log (-3+4)+2=2[/tex]

[tex]f(6)=10\log (6+4)+2=12[/tex]

then we substitute the values in the formula

[tex]r=\frac{12-2}{6-(-3)}=\frac{10}{6+3}=\frac{10}{9}[/tex]

The average rate of change is 10/9=1.11

Which line matches the equation belowF(x)=-3^xA RedB blueC greenD purple

Answers

The function is given as,

[tex]F(x)=-3^x[/tex]

The graph representing the above equation is green colour.

Brenda ordered 12 dozen cookies from the bakery 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate chip recipe cookies are oatmeal how many cookies are oatmeal cookies

Answers

The number of oatmeal cookies when Brenda ordered 12 dozen cookies from the bakery is 18.

How to calculate the value?

Since Brenda ordered 12 dozen cookies from the bakery, the total number ordered will be:

= 12 × 12

= 144 cookies

Since 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate, the fraction for oatmeal will be:

= 1 - (1/3 + 1/6 + 3/8)

= 1 - 7/8

= 1/8

The oatmeal cookies will be:

= 1/8 × 144

= 18

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Triangles ABC and DEF are similar.
Side length AB is 2, side length AC is 4, and side length BC is 3
Side length DE is 1.34
What is the length of DF and EF?

Answers

If Triangles ABC and DEF are similar. Side length AB is 2, side length AC is 4, and side length BC is 3 Side length DE is 1.34 then  length of  DF = 2.68 and length of  EF = 2.01

What are Similar Triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given,

Triangles ABC and DEF are similar.

AB = 2

AC = 4

BC = 3

DE = 1.34

We need to find the length of DF and EF

Given that ABC and DEF are similar, therefore:

AB/DE = BC/EF = AC/DF

2/1.34=3/EF=4/DF

1.49=3/EF=4/DF

Now,

1.49=3/EF

EF=3/1.49

EF=2.01

1.49=4/DF

DF=4/1.49

DF=2.68

Hence, length of  DF = 2.68 and length of  EF = 2.01

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Can sum1 pls help me asap

Answers

The correct answer is reflection. Option B.

Metamorphosis is a dramatic change in shape or appearance. Big events like getting a driver's license, going to college, or getting married can change your life. He has three basic fixed transformations of reflection rotation and translation. There is a fourth common transformation called expansion.

Simple Transformations is the SAP programming language for describing transformations between ABAP data and XML formats. ST is limited to ABAP data serialization and deserialization, the two most important modes of data integration. Transformation means change. A geometric transformation, therefore, means making some changes to a particular geometric shape. Transformation is a specific process by which exogenous genetic material is taken up and integrated directly into cells through the cell membrane.

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1.9 worksheet Name: Veronica is fertilizing her backyard. The total weight of fertilizer varies rectly with the number of bags.

Answers

The rate of cahne of rate with respect to bags is.

[tex]\begin{gathered} R=\frac{120-90}{4-3} \\ =\frac{30}{1} \\ =30 \end{gathered}[/tex]

Therfore, the rate is 30.

Since, the slope of the graph is positive. The variation is direct.

which relation is not a function?

Answers

Answer:

D

Step-by-step explanation:

Two of the same X's

More after...............................

Answers

Equation of line having passing points (-6,0) and (0,-24) is 4x + y + 24 = 0

What do you mean by equation of line?

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

Two passing points of line are (-6,0) and (0,-24)

Equation of line having two passing points as (a,b) and (c,d) is

[tex](y-b) = \frac{d-b}{c-a} (x-a)[/tex]

So, here equation of line become ,

[tex](y - 0) = \frac{-24-0}{0+6}(x+6)[/tex]

⇒ [tex]y = \frac{-24}{6}(x+6)[/tex]

⇒ y = -4(x+6)

⇒ y = -4x - 24

⇒ 4x + y + 24 =0

Hence, equation of line having passing points (-6,0) and (0,-24) is 4x + y + 24 = 0

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Adrianna’s football team ran some warm up laps with a total distance of 6125 centimeters. There are 7 players on her football team. If they all ran the same number of laps, what is the distance each player ran? At the end of practice, each player ran to the store, which was 10.31 meters from the field. What is the total distance each of them ran?

Answers

The distance each player ran for warm up laps is 875 cm and the distance each player ran for the store is 1.47 meters.

According to the question,

We have the following information:

Adrianna’s football team ran some warm up laps with a total distance of 6125 centimeters. There are 7 players on her football team.

The distance to the store = 10.31 meters

Now, we can find the distance ran by each player by dividing the total distance by number of players.

Distance for warm up laps = 6125/7

Distance ran by each player = 875 cm

Distance for the store = 10.31/7

Distance for the store = 1.47 m

Hence, the distance each player ran for warm up laps is 875 cm and the distance each player ran for the store is 1.47 meters.

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natalie is organizing textbooks on her bookshelf. she has a spanish textbook, a biology textbook, a physics textbook, and a health textbook. how many different ways can she line the textbooks up on her bookshelf?

Answers

Natalie can line up her textbooks in 24 different ways on her bookshelf.

Natalie has a Spanish book, a biology book,  physics book, and a health text book.

So, she has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So,

In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

So, there are 24 different ways possible.

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Cassandra has a tangler panto in her backyard the panto is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cassandra is panto write an equation to show your work

Answers

The perimeter measures around 36 metre.

Describe a perimeter?

The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.

As an expression,

2(13)+2(5)

=26+10

=36.

The perimeter is approximately 36 meters.

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What is the product of 54 and 2.2 \times 10^62.2×10 6 expressed in scientific notation?

Answers

The given expression is represented in scientific notation as (1.77 × 10⁶).

What do we mean by scientific notation?

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 × 10⁸ in scientific notation.

So, the given expression in scientific notation:

= (2.2 × 10^6) - (4.3 × 10^5)= (2.2 × 1000000) - (4.3 × 100000)= 2200000 - 430000= 1770000= 177 × 10^4= 1.77 × 10⁶

Therefore, the given expression is represented in scientific notation as (1.77 × 10⁶).

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Correct question?

2.2⋅10^6 −4.3⋅10^5 scientific notation

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What are some possible solutions for the immigration issue? A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 3 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. Find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone. ntents Library The time that the hose can complete the job alone is (?) hours. (Round to the nearest tenth.) The time that the inlet pipe can complete the job alone is (? )hours. (Round to the nearest tenth.) nizer I need help with problem number 3 Its about evaluating the composition of functions in different representations correctly Find sin ^-1 (-1/2). Write both angles for full credit In Triangle FGH, GJ is an angle bisect or of G and perpendicular to FH. What is the length of FH in units? Find the y-intercept of the line.y = 3.1x+2.6y-intercept: A scale for a skyscraper blueprint is 1 inch = 40 feet. The height of theskyscraper is 640 feet and the width is 540 feet. What are the height andwidth in inches of the scale drawing of the skyscraper what process are you performing to get the newly ligated promoter and plasmids from the gga reaction into e. coli cells? explain. I NEED SOME HELP PLEASE ;n; .Zan took her dog, Simba, to the dog park on Saturday afternoon. There were less than 15 dogs running around the park when they arrived.Determine which inequality describes the dogs at the park. d < 15 d > 15 d 15 d 15 An organism gets food, water, shelter, and other things it needs to live, grow, and reproduce from itsa. populationb. habitatc. abiotic factorsd. species help please i been on this question for a hour and i dont know :,)Which major event was a factor that led to the end of isolationism and prompted the U.S. involvement in World War IIAmerica did not want to share its wealth with other countries.Congress passing the Neutrality Acts in the 1930s.The Japanese attack on Pearl Harbor.The signing of the Lend-Lease Act with Britain The table below shows the average amount of time spent per person on entertainment per year from 2000 to 2005.Year Hours2000 34922001 35402002 36062003 36632004 37572005 3809(a) Use a graphing calculator or spreadsheet program to find a quadratic model that best fits this data. Let t represent the year, with t=0 in 2000. Round each coefficient to two decimal places.Pt =(b) Based on this model, how many hours would you expect the average person to spend on entertainment in 2012? Round your answer to the nearest whole number.hours(c) When would you expect the average amount of entertainment time to reach 4000? Give your answer as a calendar year (ex: 1997).During the year I bought5) Calculate the area and perimeter of the compound shape:Area =Perimeter = How do you find the slopeAnd the equation as well Authors portray character traits by using descriptive? Stir the liquid occasionally to release the _______________. Express the given Hindu-Arabic numeral in expanded form 26 The directions says state if the two triangles are congruent. If they are state how you know What is the electron figuration of selenium Determine the y-intercept of the equation -x + 2y = 10a. 1b.-10C. 5d. 2