Which of the following could be the equation of the function below?
WILL MARK BRAINLIEST

Which Of The Following Could Be The Equation Of The Function Below?WILL MARK BRAINLIEST
Which Of The Following Could Be The Equation Of The Function Below?WILL MARK BRAINLIEST

Answers

Answer 1

Answer:

A: [tex]y=-3sin(2(x+\pi))+2[/tex]

Step-by-step explanation:

As all of the functions are sin functions, the option must be negative due to the shape of the graph.

This narrows down the options to A and B

When looking at b, it has a period of [tex]2\pi[/tex] which is not equivalent to the given graph that has a period of [tex]\pi[/tex]

Function A has a period of [tex]\pi[/tex] and is negative, so it is the correct option

Answer 2

Answer:

[tex]y=-3\sin(2(x+\pi)+2[/tex]

Step-by-step explanation:

The graph completes two cycles on the interval [tex][-\pi,\pi][/tex].

This implies that, the graph has a period of [tex]\pi[/tex].

The functions is a sine function that is reflected in the x-axis and shifted up by 2 units.

The range of the graph is -1 to 5.

This means that the amplitude is 6/2=3

The graph is also shifted to the right [tex]\pi[/tex] units

The function is

[tex]y=-3\sin(2(x+\pi)+2[/tex]


Related Questions

Solve the inequality n/-3+ 8 > 6.
A.) n > -6
B.)n > 42
C.)n < 6
D.)n > -42

Answers

Answer:

C.) n < 6

Step-by-step explanation:

Subtract 8:

n/-3 > -2

Multiply by -3. The negative multiplier requires the comparison be reversed:

n < 6

Final answer:

To solve the inequality n/-3 + 8 > 6, we first subtract 8 from both sides of the inequality and then multiply by -3. This reveals that n < 6, which corresponds to option C.

Explanation:

To solve the inequality n/-3 + 8 > 6, we first isolate the term containing n by subtracting 8 from both sides of the inequality:

n/-3 + 8 - 8 > 6 - 8

n/-3 > -2

Now, we can multiply both sides of the inequality by -3 to find the value of n. Remember, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign:

n/-3 × -3 < -2 × -3

n < 6

Thus, the correct answer to the inequality n/-3 + 8 > 6 is n < 6, which corresponds to option C.

Which fact would help you to solve for x in the diagram shown?
A) Angles in an equilateral triangle are congruent.
B) The sum of the interior angles in a quadrilateral is 360°.
C) Alternate interior angles formed by a transversal and parallel lines are congruent.
D) The exterior angle of a triangle is equal to the sum of the two remote interior angles.

Answers

The answer is A, Angles in an equilateral triangle are congruent.

Which fact would help you to solve for x in the diagram shown?

A) Angles in an equilateral triangle are congruent.  

Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution

Answers

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

Final answer:

The solution to the system of equations is (5, -1), matching option b. This is found by setting both equations equal to each other, combining like terms, solving for x, and then using that value to find y.

Explanation:

To solve the system of equations, set the two equations equal to each other since they both equal y:

y = -5x + 24
y = 4x - 21

Now equate them:

-5x + 24 = 4x - 21

Add 5x to both sides:

24 = 9x - 21

Add 21 to both sides:

45 = 9x

Now divide by 9 to solve for x:

x = 5

Substitute x back into either original equation to find y:

y = -5(5) + 24
y = -25 + 24
y = -1

The solution is (5, -1), which corresponds to option b.

To check the solution, we can substitute x = 5 into both of the original equations to verify that they are true. For the first equation:

-5(5) + 24 = -25 + 24 = -1

For the second equation:

4(5) - 21 = 20 - 21 = -1

Since both substitutions lead to an identity, the solution is correct. The final answer is (5, -1), or option b.

(PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers of units produced by company 1: F(x)=0.05x^2-7x+300 The Following table represents the production cost g(x) in dollars, for x number of units produced by company 2: x: 0.6,0.8,1, 1.2, 1.4 G(x): 899.58,899.52,899.50,899.52, 899.58 based on the given information, the minimum production cost for company ____ is greater [put 1 or 2 in blank space]

Answers

Answer:

production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x^2 − 7x + 300

2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x        g(x)

0.6     899.58

0.8     899.52

1        899.50

1.2     899.52

1.4     899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x            f(x) = 0.05x^2 − 7x + 300    g(x)

0.6         295.818                               899.58

0.8         294.432                               899.52

1            293.05                                 899.50

1.2         291.672                               899.52

1.4          290.298                              899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

Answer: Based on the given information, the minimum production cost for company 2 is greater.

Step-by-step explanation:

An ice cream shop makes 14 different flavors of ice cream. You can get each flavor in a waffle cone, sugar cone, cake cone, or a cup. If you are daring you can add one of these toppings rainbow sprinkles, cookie crumbs, or peanuts as a topping. How many different outcomes are possible? show work

Answers

14×3×3=126. So 126 is your answer.

Answer:

14*4*3         168

Step-by-step explanat

Find the solution of this system of equations. Separate the x- and the y- values with a comma. X=6+y -8x+9y=-29

Answers

Answer:

x= 25, y = 19

Step-by-step explanation:

Solve the following system:

{x = y + 6 | (equation 1)

9 y - 8 x = -29 | (equation 2)

Express the system in standard form:

{x - y = 6 | (equation 1)

-(8 x) + 9 y = -29 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 9 y = -29 | (equation 1)

x - y = 6 | (equation 2)

Add 1/8 × (equation 1) to equation 2:

{-(8 x) + 9 y = -29 | (equation 1)

0 x+y/8 = 19/8 | (equation 2)

Multiply equation 2 by 8:

{-(8 x) + 9 y = -29 | (equation 1)

0 x+y = 19 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{-(8 x)+0 y = -200 | (equation 1)

0 x+y = 19 | (equation 2)

Divide equation 1 by -8:

{x+0 y = 25 | (equation 1)

0 x+y = 19 | (equation 2)

Collect results:

Answer:  {x = 25 , y = 19

Answer: X= -29, Y= -267 over 10

Step-by-step explanation:

X= -29, substitute the value of X into the equation 6+y-8(-29)+9y an then solve for Y...

Hope this helps!

Which verbal description, when graphed has the same slope as y= -2x+6

A. Teo has read 6 books. He reads 2 per day, X is the number of days and y is the total number of books read

B. Caroline is 6 miles from home. She walks towards home at 2 miles per hour, X is the number of hours and Y is the number of miles from Home

C. Ned deposits $6 per week into his saving account, which already has $2 in it, X is the number of weeks and Y is the total of dollars

Answers

Answer: i say its A but i could be wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! evaluate ^3√343/512

Answers

Answer:

Step-by-step explanation:

7/8 0r 0.875

The admission fee at an amusement park is $4.50 for children and $13 for adults. On a certain day, 249 people enter the park, and the admission fees collected totaled $2,013.00 how many children and how many adults were admitted?

Answers

Answer:

154 adults 94kids

Step-by-step explanation:

A French class has a total of
42
students. The number of males is
8
more than the number of females. How many males and how many females are in the class?

Answers

Their are 34 females in the class.

If 42 is the total amount of French students; subtract the amount of males(8) from the whole class to receive how many females their are in the class. Which is 34.

Which line passes through the origin?
(A) y = 3
(B) y = x − 3
(C) y = −3x
(D) y = 2x + 1

Answers

Answer:

c. y=-3x

Step-by-step explanation:

Plug in x=0 and y=0.

0=-3(0)

0=0...the origin

Which of the following could be folded to produce the object above?

Answers

Answer:

answer is Z

Step-by-step explanation:

15. Scott and Tara were asked to find the
area of this trapezoid:
16 cm
18 cm
24 cm
Scott wrote A = 2(24 + 16)(8).
Tara wrote A = (16 + 24)(8)
Which student is correct? Explain.​

Answers

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> Note The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

Verify Scott 's work

Note Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

Verify Tara's work

Note Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

What are these Ratios in order from greatest to least? 23:24, 11:12, 7:8

Answers

Answer:

From greatest to least is  23:24 , 11:12, 7:8

Step-by-step explanation:

Hope this helps!!!

what is the sum of an 8-term geometric series if the first term is -11, the last term is 180, 224, and the common ratio is -4​

Answers

Answer:

The sum is [tex]144,177[/tex]

Step-by-step explanation:

we know that

The formula of the sum in a geometric sequence is equal to

[tex]S=a1[\frac{1-r^{n}}{1-r}][/tex]

where

a1 is the first term

r is the common ratio

n is the number of terms

we have

a1=-11

r=-4

n=8

substitute the values

[tex]S=(-11)[\frac{1-(-4)^{8}}{1-(-4)}][/tex]

[tex]S=(-11)[\frac{1-(65.536)}{5}][/tex]

[tex]S=144,177[/tex]

Can someone please help me out

Answers

Answer:

D

Step-by-step explanation:

Look at where the two functions intersect.

[tex](-3,-3)[/tex] and [tex](0,6)[/tex].

Those are the solutions.

Solve for x: 3x - 5 = 9x + 8 - 5x

Answers

Answer:

X= -13

Step-by-step explanation:

Your first goal is to get all the X’s to one side of the equation.

So:

3x - 5 = 9x + 8 - 5x

+5x +5x

8x - 5 = 9x + 8

-9x -9x

-1x - 5 = 8

Now that you have all the X variables simplified and on one side, you make sure all of you constant terms are on the other side.

-1x - 5 = 8

+5 +5

-1x = 13

Because you can’t have a negative X, you divide the entire equation by -1.

-1x = 13

-1

x = -13

Dividing by -1 will give you the inverse of the equation which is positive one x equals negative thirteen.

What number is 20%of 40

Answers

Answer:

20% of the number 40 is 8

20% x 40=800 divide 100 =8

Find the number of even-numbered subsets that have only even numbers from the set (1,2,3,4,5,6...100)

I would greatly appreciate a quick answer

Answers

Answer:

Step-by-step explanation:

You could use the 'brute force' method, which would be to simply write out all the possible subsets.  We could avoid repetition within the subsets.

{2} would be the first subset; it contains one even number.

Next would be {2, 4}, next {2, 4, 6} ... {2, 4, 6, ... 94, 96, 98, 100}.  Provided that we correctly understand what this problem is asking for, writing out and then counting all these subsets should answer the question.

Which statement is true about the solution to √2x-1==1

Answers

Answer:

There are no real number solutions to this question.

The statement which is true for the equation[tex]\sqrt{2x-1} =-1[/tex] is option C which is that x=1.

What is an equation?

It is a relationship between variables and it can be in the form of one variable also.

How to solve the problem?

We have been given [tex]\sqrt{2x-1} =-1[/tex]

squaring both sides we get

2x-1=1

2x=1+1

2x=2

x=1

Hence the solution of the equation is x=1.

Learn more about equations at https://brainly.com/question/2972832

#SPJ2

what is y+5=7(x-8) written in standard form

Answers

Answer:

7x-y=61

Step-by-step explanation:

The standard form is Ax+By=C.

Let's simplify the equation first.

1. Distribute: y+5=7x-56

2. Subtract 5: y=7x-61

3. Arrange into standard form: 7x-y=61

Answer

-7x+y=-61

Its the same as 7x-y=61, but in a different form


Can someone plzz help me

Answers

For this case we have that by definition of trigonometric relations of a rectangular triangle that, the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle.

That is to say:

[tex]Sin (30) = \frac {IR} {14}[/tex]

We clear the length of the leg:

[tex]IR = 14 * sin (30)\\IR = 14 * \frac {1} {2}\\IR = 7 \ in[/tex]

Answer:

[tex]IR = 7 \ in[/tex]

what is 2 3/2 equal to?
A) Two times the square root of 8
B) three times the square root of 8
C) Three times the square root of 16
D) Two times the square root of 16​

Answers

Final answer:

The expression '2 3/2' is a mixed number. Converting this to an improper fraction results in 7/2, which simplifies to 3.5. This does not match any of the provided options.

Explanation:

The expression '2 3/2' implies that we are dealing with mixed numbers, meaning you have a whole number and a fraction combined. When you see this, you should convert the mixed number into an improper fraction. The way to do this is to multiply the whole number by the denominator of the fraction and then add the numerator to this product. In this case that would be (2*2) + 3 which equals 7. Your new fraction would be 7/2 which equals 3.5 when simplified to a decimal. This does not correspond to any of the provided options (A, B, C, D), signifying that the original question may have been misinterpreted or contains a typographical error.

Learn more about Mixed numbers here:

https://brainly.com/question/24137171

#SPJ12

Final answer:

2 3/2 is equal to 7/2 or D) Two times the square root of 16​.

Explanation:

When we have a whole number followed by a fraction, we can convert it to an improper fraction.

To do this, we multiply the whole number by the denominator of the fraction and add the numerator.

So in this case, 2 x 2 + 3 = 7.

Therefore, 2 3/2 is equal to 7/2 or D) Two times the square root of 16​.

Learn more about Fractions here:

https://brainly.com/question/10354322

#SPJ12

ASAP PLEASE HELP ME !!!!​

Answers

Answer:

The correct answer is third option

The sum of any number and its opposite is 0

Step-by-step explanation:

It is given an expression,

8.29 * (-5.62 + 5.62)/5.62

To find the correct reason

Here - 5.62 + 5.62 = 0

5.62 is opposite to - 5.62

because sum of a number and its opposite is 0.

Therefore the correct answer is third option.

The sum of any number and its opposite is 0

15% of 20 is
Ο 30
Ο 300

Answers

Answer:

3

Step-by-step explanation:

Is means equals and of means multiply

15% * 20 = ?

Change to decimal form

.15 * 20 = ?

3 = ?

15% of 20 is 3

Simplify the following expression.

A.49
B.1/14
C.1/49
D.14

Answers

Answer:

C

Step-by-step explanation:

Using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

• [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Hence

[tex]7^{-5/6-7/6}[/tex] = [tex]7^{-\frac{12}{6} }[/tex] = [tex]7^{-2}[/tex], then

[tex]7^{-2}[/tex] = [tex]\frac{1}{7^{2} }[/tex] = [tex]\frac{1}{49}[/tex] → C

ANSWER

C. 1/49

EXPLANATION

The given expression is

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

We apply this product rule of exponents to get:

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - \frac{5}{6} + - \frac{7}{6} } [/tex]

This implies that:

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - \frac{12}{6} } [/tex]

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - 2} [/tex]

Recall again that:

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

We apply this rule to get:

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = \frac{1}{ {7}^{2} } [/tex]

This simplifies to:

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = \frac{1}{49} [/tex]

The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Answers

ANSWER

See below

EXPLANATION

The given point (-3,1) lies in the second quadrant.

In this quadrant only sine is positive.

The length of the hypotenuse formed by the right angle triangle is

[tex] {h}^{2} = {3}^{2} + {1}^{2} [/tex]

[tex] {h}^{2} = 9 + 1[/tex]

[tex]{h}^{2} = 10[/tex]

[tex]h = \sqrt{10} [/tex]

The side opposite to θ, is 1 units.

The adjacent side is 3 units.

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin( \theta) = \frac{1}{ \sqrt{10} } = \frac{ \sqrt{10} }{10} [/tex]

[tex]\cos( \theta) = - \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos( \theta) = - \frac{3}{ \sqrt{10} } = - \frac{3 \sqrt{10} }{10} [/tex]

[tex] \tan( \theta) = - \frac{opposite}{adjacent} [/tex]

[tex]\tan( \theta) = - \frac{1}{3} [/tex]

The values of sine, cosine and tangent of θ are; 1/√10, -3/√10 and -1/3 respectively.

Sine, Cosine and Tangent of angles

From the task content, it follows from Pythagoras theorem that;

hypothenuse = √((-3)²+1²)

hypothenuse = √10

On this note;

Sin θ = 1/√10

Cos θ = (-3)/√10

Tan θ = -1/3

Read more on Trigonometric identities;

https://brainly.com/question/20519838

a submarine is at a depth of 2 1/3 km below sea level and if it starts ascending at the rate of 800m/h.then find its position after 2 hours?

Answers

Answer:

66 ⅔ m

Step-by-step explanation:

2 ⅓ km can be written in improper form as 5/3 km.

There's 1000 m in 1 km, so we can convert this:

5/3 km × (1000 m / km) = 5000/3 m

The submarine rises at 800 m/h.  So after 2 hours:

distance = rate × time

d = 800 m/h × 2 h

d = 1600 m

So the new position is:

5000/3 m − 1600 m

5000/3 m − 4800/3 m

200/3 m

66 ⅔ m

Final answer:

After ascending at a rate of 800 meters per hour for 2 hours from a depth of 2 1/3 kilometers, the position of the submarine would be 733.3 meters below sea level.

Explanation:

The student has asked to find the position of a submarine after it ascends from a depth of 2 1/3 km below sea level at a rate of 800 m/h for 2 hours.

Firstly, we convert the depth of the submarine from kilometers to meters to match the ascent rate's unit. There are 1,000 meters in a kilometer, so 2 1/3 km is equivalent to 2,333.3 meters (since 2 km = 2000 m and 1/3 km = 333.3 m).

The submarine ascends at a rate of 800 meters per hour. After 2 hours, the total ascent will be 800 m/h * 2 h = 1,600 meters.

To find the new position, we subtract the ascent distance from the original depth: 2,333.3 m - 1,600 m = 733.3 meters below sea level.

Therefore, after 2 hours, the position of the submarine would be 733.3 meters below sea level.

what is the best next step in the construction of a line that passes through B and is perpendicular to line A?

A. set the compass to be equal to CD
B. set the co pass to be wider than it was when placed at point B to draw the arc that passes through C and D
C. set the compass to be greater than CD
D. keep the compass setting the same width as when it was placed at point B to draw the arc that passes through C and D

Answers

Answer:The answe is D

Step-by-step explanation:

The correct next step is to keep the compass at the same width used at point B to draw an arc through points C and D, enabling the construction of a perpendicular line. Hence correct option D.

The best next step in the construction of a line that passes through point B and is perpendicular to line A is to keep the compass setting the same width as when it was placed at point B to draw the arc that passes through points C and D. This ensures that the arcs intersect the line A at points that are equidistant from B, which is essential in establishing a perpendicular line.

how many pennies would be on the square labled H​?
square A: 1 penny 2^0
square B: 2 pennies 2^1
square c: 4 pennies 2^2

Answers

[tex]\bf \begin{array}{|lllllllll|ll} \cline{1-9} label&A&B&C&D&E&F&G&H\\ &&&&&&&&&\\ pennies&2^0&2^1&2^2&2^3&2^4&2^5&2^6&2^7\implies 128\\ \cline{1-9} \end{array}[/tex]

Answer: part 2: 2n-1

Step-by-step explanation:

Other Questions
We elect a us representative for how many years? What is an interaction? describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions? Which best describes why a liquid needs a container when a solid does not? Scientists first found dinosaur fossils about 1820. The fossils suggested that dinosaurs were large, slow, reptiles. This view was widely accepted for decades. However, in 1960, scientists began to challenge the idea. More recently, several findings showed that some dinosaurs were closely related to birds, and had active, agile bodies. Which conclusion is BEST supported by this information? A)Most of the early dinosaur fossils were likely fakes. B)The earlier ideas of dinosaur fossils were unscientific. C)Scientists have had to revise accepted ideas of dinosaur biology. D)Scientists interpreted the available fossil evidence wrongly until 1960. What is the meaning/central idea statement for "My Jockey" by Lucia Berlin? How many states does the colorado river run through simplify the following:a)12:18:36. b)320:480. c)16mm:480 Im hella confused on all this. Whats EF Which process or theory explains how life could have arisen from nonliving materials? - 20 points.- Im struggling in chemistry, please help only if youre serious about it! Thank you!! Describe the progression of a reaction using the graph below. Start with reactants and proceed through products. Make sure you talk about the following terms: Reactants, Activation energy, Transition state, and Products. Is this reaction exothermic or endothermic? What kind of information do the seismic stations collect what happens to sodium sulphate in water What was one of the primary reasons for the spread of the bubonic plague (the Black Death) A- increase in trade B- colonization of the Americas C- development of the manorial systemD- economic decline sort the phrases according to whether they belong in the category of permanent or temporary magnets Which of the following points is a solution of the inequality y < -|x|?A. (1,-2)B. (1,-1)C. (1,0 ) The distance between points (3,7) and (x1,y1) is the square root of (x1 - 3)2 + (y1 - 7)2True or False? A.how did the european establishment of new trading-post empires in africa and asia affect the power of states in the interior of west and central africa? how was american society affended by sectionalism At 98.66 kPa and 20 degrees C nitrogen has a solubility in water of .018 g/L. At 82.66 kPa and 20 degrees C, its solubility is .015 g/L. Does nitrogen obey the gas pressure-solubility law? Allison was miserable. She was soaked, muddy, and covered in bug bites. Whoever decided sleeping in the wilderness was a good idea was clearly mistaken. Where are my ruby slippers when I need them? she thought. She was done with camping.What is the meaning of the sentence "Where are my ruby slippers when I need them?" in the paragraph? The ruby slippers are symbolic of Allisons anger and frustration, since the color red comes to her mind as she complains about the situation. The ruby slippers represent Allisons desire for comfort and luxury, things she is missing while she is on her camping trip. In The Wizard of Oz, the ruby slippers give Dorothy the power to return home; Allison references the ruby slippers because she too wants to go home. In The Wizard of Oz, the ruby slippers belonged to the Wicked Witch; Allison references the ruby slippers because she wants to take revenge on the person who suggested the camping trip.