A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

tysm! :)

Answers

Answer 1

If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.

What is a geometric sequence?

In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.

How to calculate the nth term of a geometric sequence?

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.

Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:

x, 7x, 49x, 343x, .....

Check:

7/1 = 49/7 = 343/49 = 7 (proof).

Therefore, this is a geometric sequence.

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Complete Question:

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

arithmetic

geometric

both

neither


Related Questions

Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The  distance the plane traveled from point A to point B is: 13,027ft .

How to find the distance?

Constant altitude =6300 feet

Angle of elevation =15 to the plane at point A

An angle of elevation =31 to the plane at point B.

So,

Tan 15° = 6300/ON

ON =23,511.92

Tan 31° =6300/OB

OB = 10,484.96

So,

AB =23,511.92 - 10,484.06

AB = 13,026.96

AB = 13,027ft (Approximately)

Therefore the distance is 13,027ft.

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area of a parallelogram help wanted ty

Answers

The area of the parallelogram is 72 square units. Option B

How to determine the area of the parallelogram

The formula for calculating the area of a parallelogram is expressed as;

A = bh

Given that;

A is the area of the parallelogramb is the base of the parallelogramh is the height of the parallelogram

From the information given, we have that;

The base of the parallelogram = x + yThe height of the parallelogram = h

Now, substitute the values

x + y = 8 + 4

add the values

x + y = base = 12 units

h = 6 units

Now, substitute the values into the formula, we get;

Area, A = 12(6)

multiply the values

Area, A = 72 square units

Hence, the value is 72 square units

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12 divided by four
plus 2 x 6+4

Answers

Answer:

19

Step-by-step explanation:

12 divided by four plus 2 x 6+4

assuming that the question is:

12 : 4 + 2 x 6 + 4 =

3 + 12 + 4 =                     (remember PEMDAS)

19

standard equation for hyperbola with vertices (-2, 1), (2, 1) and foci (-3, 1) (3,1)

Will give brainliest

Answers

Answer:y=(x+3)2−17

Step-by-step explanation: 3,11 5,15

if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}

Answers

1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.

2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.

3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.

4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.

5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.

6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.

What is a function?

It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.

On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.

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Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.

Answers

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

16. Find the length of x.

Answers

Answer: 4.8

Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8

This simplifies to 10x = 48

After dividing both sides by 10 we get x = 4.8

A rectangle has a length of
2,000 cm and a width of 23 cm.
What is the area?
What is the perimeter?

Answers

Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!

wht is the answer ??? ​

Answers

The equation to represent the height of a glass slab is y=11x+2.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given table, we have (2, 24) and (4, 46).

Substitute (x₁, y₁)=(2, 24) and (x₂, y₂)=(4, 46) in m=(y₂-y₁)/(x₂-x₁)

= (46-24)/(4-2)

= 22/2

= 11

Substitute m=11 and (x, y)=(2, 24) in y=mx+c, we get

24=11(2)+c

c=2

Substitute m=11 and c=2 in y=mx+c, we get

y=11x+2

Therefore, the equation to represent the height of a glass slab is y=11x+2.

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a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts

Answers

Answer: 5 Hours

Step-by-step explanation:

Divide 6600 by the amount per 1.5 hours.

6600 / 1980 = 3.333

Multiply the answer by the 1.5 hours.

1.5 x 3.333 = 5

I REALLY NEED HELP WITH PLINK A PLUNK

Answers

Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.

Describe equation.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6  by resolving this equation.

Here,

we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).

It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.

The four equations provided are

4 lorgs to a sind

5 dalts x 2 plunks

2 harps from 5 sinds.

3 harps equal 1 plunk.

In that order, I'll refer to them as equations (1) through (4).

One sind equals four logs (1)

5 sinds = 20 lorgs; add 5 to both sides.

2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)

1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)

Equation: 1 plunk = 30 lorgs (6)

Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.

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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"

help please!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

Not a function

Step-by-step explanation:

A function is when every input(x) has only one output (y).  The input 1 has two outputs (0 and 1) so it is not a function.

Are The Numbers 16,64,18 and 72 In Proportion​

Answers

Answer: Yes.

Step-by-step explanation: They are in 1:4::1:4

Hope this helps

Answer:

Yes

Step-by-step explanation:

Are The Numbers 16,64,18 and 72 In Proportion​?

A proportion is an equation in which two ratios are set equal to each other

16 : 64 = 18 : 72

0.25 = 0.25

or

1/4 = 1/4

so your answer is yes

98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.

Answers

here, on solving  company reduced the size of their percentage  container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.

what is percentage ?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

The initial size was x.

Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.

90% of the original size is equal to 4.5 ounces,

hence the calculation we use to determine the original size x is:

0.9 x = 4.5 x

= 4.5 / 0. 9 x = 5

The bottle's initial capacity was 5 ounces.

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A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?​

Answers

Step-by-step explanation:

d = 30m, so r = 15m

h = 20m

We know,

V = πr^2h

= (22×15×15×20)/7 [Taking π = 22/7]

= 14142.86m^3

= 14142875.14 litres

3. At practice the team wants to know how fast Ryan can skate. He skates 10 laps around the
rink in 3 minutes and, later on in practice he skates 5 laps in 1 minute. What was his
average speed in laps per minute?

Answers

The average speed in laps per minute of Ryan is 2.5 laps per minute

How to determine the average speed in laps per minute?

From the question, we have the following parameters that can be used in our computation:

He skates 10 laps around the rink in 3 minutes In practice he skates 5 laps in 1 minute

The above can be expressed as

(x, y) = (1, 5) and (3, 10)

The average speed in laps per minute can be calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Rewrite as

Average speed = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 5) and (3, 10)

Substitute the known values in the above equation

So, we have the following equation

Average speed = (10 - 5)/(3 - 1)

Evaluate

Average speed = 2.5

Hence, the average speed is 2.5

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is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false

Answers

Answer:

True, 50 tens times hundreds equal 40 tens times 5 hundreds

Step-by-step explanation:

50 tens times 4 hundreds equals to 40 ten times 5

hundreds because if you multiply 50 by 4 hundreds

you'll get 20,000 and if you multiply 40 tens by

hundred it will still give you 20,000

Therefore:

50 × 400 = 40 × 500

20,000 = 20,000

find an equation for the line that passes through the points (-6,-3) and (4,5).

Answers

The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.

How to determine the equation of the line from two points

In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:

y = m · x + b

Where:

x - Independent variable.y - Dependent variable.m - Slopeb - y-Intercept

The slope of the line can be determined by secant line formula:

m = Δy / Δx

Where:

Δx - Change in independent variable.Δy - Change in dependent variable.

First, determine the slope of the line:

m = [5 - (- 3)] / [4 - (- 6)]

m = 8 / 10

m = 4 / 5

Second, determine the intercept of the line:

b = y - m · x

b = 5 - (4 / 5) · 4

b = 5 - 5

b = 0

Third, write the equation of the line:

y = (4 / 5) · x

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Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick

Answers

Answer:

$28.29

Step-by-step explanation:

1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29

Make 4 equal warehouses out of a fence 300 m long. What is the width and length of the sv part if we want them to be the largest possible areas

Answers

The width and the length that gives the largest possible areas are 75 meters by 37.5 meters

How to determine the width and the length that gives the largest possible areas

From the question, we have the following parameters that can be used in our computation:

Number of warehouses = 4

Perimeter of fence = 300 meters

Represent the width with x and the length with y

So, we have the following equations

Area = 4xy

Perimeter = 2(4x + y)

Substitute the known values in the above equation, so, we have the following representation

2(4x + y) = 300

Divide both sides by 2

2x + y = 150

Make y the subject

y = 150 - 2x

Substitute y = 150 - 2x in Area = 4xy

A = 4x(150 - 2x)

This gives

A = 600x - 8x²

Differentiate and set to 0

600 - 16x = 0

So, we have

16x = 600

Divide by 16

x = 37.5

Recall that

y = 150 - 2x

So, we have

y = 150 - 2 x 37.5

Evaluate

y = 75

Hence, the dimensions are 75 meters by 37.5 meters

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Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)

Answers

The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.

What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the graph

f(x) = (-1/5)x + 1

Using the slope intercept, slope m is -1/5

The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.

Slope of perpendicular line = -1 / (-1/5)

Slope of perpendicular line = 5

Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - (-1) ) = 5( x - (-2) )

( y + 1 ) = 5( x + 2 )

y + 1 = 5x + 10

y = 5x + 10 - 1

y = 5x + 9

f(x) = 5x + 9

Therefore, the equation of the perpendicular line is f(x) = 5x + 9.

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You are given 2 parallel lines on the coordinate plane. You are told to translate x + 3,y-2, rotate 180° clockwise about the origin, then reflect over the y-axis. After the transformations you will have what type of lines?

A Intersecting lines
B. The Same Line
C. Parallel Lines

Answers

Since matching angles are formed and the equal corners are congruent when a line joins two parallel lines, one of the choices isc=d.

Parallel lines are what?

Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.

Here,

Given :  vertical angles, A = d also represents a solution.

B+d=180 as a result of b+c=180 therefore

B+d=180 as a result of b+c=180 therefore Since a=d, c=d, and b+d=180, the answer is B,C,E.

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determine if each liners function is a direct variation. If it is state the constant of variation.

Answers

The liners function are not direct variation

What is a direct variation?

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.

For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation

If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a

In the problem, the variables are compared as follows

feet = k * sec

k = feet / sec

For the first values, k = 33 / 3 = 11

For the second values, k = 36 / 6 = 6

since 11 ≠ 6 the function is not a direct variation

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Does the table below represent a proportional relationship?

A. Yes, because all the ratios of y to x are equal to 2.

B. Yes, because all the ratios of y to x are equal to 3.

C. No, because all the ratios of y to x are not equal.

D. No, because all the numbers are positive.

Answers

The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)

What is a proportional relationship?

Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.

The equation that is used to represent a proportional relationship is:

y = kx

Where:

k = constant of proportionality

Value of k when x is 1:

3 = k

Value of k when x is 2:

6 = 2k

k = 6 / 2

k = 3

Value of k when x is 3:

9 = 3k

k = 9 / 3

k = 3

Value of k when x is 4:

12 = 4k

k = 12 / 4

k = 3

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If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices

320

280

310

260

200

Answers

If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.

What does a node's degree mean?

The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the given information:

S1 probability = 0.6

F's likelihood is 0.40.

If the probability of S1 is given a value of 0.6, then

Probability of S2 then equals 0.4.

Using the table equation's payoff values as an exception.

EV=Σ

Each decision's expected value is calculated.

EV(Node 8) = 0.6 * 100 + 0.4 * 300

= 180

EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320

We chose the best value for node 4 from nodes 8 and 9.

The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.

The ideal anticipated value is determined to be 320.

Node 4's EV is 320.

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The four approved methods of document destruction are

Answers

Answer:

1area

2 water

3 food

4 house

Answer:

shredding, incineration, pulping, and pulverization.

Step-by-step explanation:

Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.

Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.

Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.

Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.


Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?

Answers

It takes him 3 days to finish

If
f
(
x
)
=
2
x
4

3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x

1
x−1?

Answers

Answer:

If

f

(

x

)

=

2

x

4

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

The measure of angle X is three times as large as the complement of the angle. Which equation can be used to find the measure of angle X?

A
(x+3)+x=90(x+3)+x=90
B
3x+x=1803x+x=180
C
(x+3)+x=180(x+3)+x=180
D
3x+x=903x+x=

Answers

Answer:

Step-by-step explanation: 55

If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function

Answers

Therefore the table values of which represents a linear function are table 2 and table 3

What is linear equation?

A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.

Here,

The values shown in table 2 have same constant rate of change of 3 units.

where as,

The values shown in table 3 have same constant rate of change of 5 units.

Therefore the table values of which represents a linear function are table 2 and table 3

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Other Questions
Select the correct answer from the drop-down menu.Read the excerpt from "The Phantom Rickshaw."(10) In my room I sat down and tried calmly to reason out the matter. Here was I, Theobald Jack Pansay, a well-educated Bengal Civilian in the year of grace 1885, presumably sane, certainly healthy, driven in terror from my sweetheart's side by the apparition of a woman who had been dead and buried eight months ago. These were facts that I could not blink. Nothing was further from my thought than any memory of Mrs. Wessington when Kitty and I left Hamilton's shop. Nothing was more utterly commonplace than the stretch of wall opposite Peliti's. It was broad daylight. The road was full of people; and yet here, look you, in defiance of every law of probability, in direct outrage of Nature's ordinance, there had appeared to me a face from the grave.What idea do the underlined details support?The details underlined in the excerpt support the idea that Jack is What is the only act of freedom the caged bird hasWhat does Marguerite do when she begins to feel free? Why did the author call it as an uneventful chronicle? A group of students is making paper airplanes. They think that the kind of paper and the design of the airplane may affect how far each paper airplane flies. The students first test if the kind of paper affects how far the airplane flies. They make several airplanes out of different kinds of paper, using the same design. Why is it important that all the airplanes have the same design? (SC. 6. N. 1. 1) By using the same design, the students can learn about both the effect of the design and the effect of the paper. By using the same design, the students can learn about the effect of the design. If they do not use the same design, the students cannot learn about the effect of the paper. It is NOT important for the airplanes to have the same design because the students are not testing the effect of the design A pilot is flying a small plane at 130 m/s in a circular path with a radius of 400 m. If a force of 3200 N is needed to maintain the pilot's circular motion, what is the pilot's mass in kilograms rounded to the nearest hundredth? 12. Which set of ordered pairs below is a function? How do you find the missing side of an obtuse triangle? How do you solve 3 composite functions? What are the main ideas of this poster? Choose three answers. Explain why fat-free potato chips fried in artificial fats contain fewer calories than those fried in natural fats. Which of the following statements is true of right-to-work laws?a. They promote closed shops in organizations.b. They restrict compulsory union membership.c. They require that all union members have legal work permits.d. They prohibit union meetings during work hours. PLEASE HELP 15 POINTS!!!Read the story summary below, and think about authors purpose.Read Me ButtonHow do the conflict and resolution in this story help suggest the authors purpose?A- The things Heather buys at the mall are newer than the things she buys at the flea market, so the story shows that conflicts between mother and daughter are silly.B- The potos and the flea market experience help resolve the conflict between Heather and her mother, so the story shows a novel solution to a common problema.C. Shopping at the flea market causes conflicts between Heather and her grandmother, so it is shown to be a bad idea.D. Heather and her mother cannot agree about the rules for visiting the mall, so the mall is shown to cause a conflicto. What does the girl say about her living brothers and sisters answer? CREATE an epithet for Odysseus based on what you learned about him today. What is the probability of tossing a coin and getting heads three times in a row?What is the chance that the next toss will be heads? What is the chance that the next toss will be tails? How to find the legs of a 45 45 90 triangle given the hypotenuse? Read the following implied thesis statement:Legalizing recreational marijuana will not encourage teen-agers to use the drug.Which choice below is the most effective supporting topic sentence for a paragraph in this essay?A CDC report states that 82% of American teens say they have been offered marijuana or other drugs.Marijuana is easy to access and many teenagers have tried it.There is no evidence that marijuana is a so-called gateway drug that leads teenagers to experiment with harder drugs or alcohol.A recent study found that over that last decade, pot-smoking by teens has fallen to an all-time low, even as more and more states have legalized marijuana. Jasmine has played basketball since she was six years old. Each winter, she starts practicing for her local team. This year, she has decided to take a job at a supermarket. Jasmine is not able to do both activities, because her shift at the supermarket would begin before the team's practices would end. Based on what you have read, if Jasmine works at the supermarket, what is her opportunity cost Do you think that Sher Shah was a just ruler? Give reasons to support your answer. how do you test the methods of cleaning an oil spill while not risking the lives of the organisms