Drag each tile to the correct box. The graph shows a proportional relationship between the number of words Shania can type and the time it takes her to type them. What does these ordered pairs mean? (5, 150) (1, 30) (0, 0) _____ Shania types 30 words in 1 minute. --> ______ Shania types 120 words in 4 minutes. ---> ____ Shania types 150 words in 5 minutes. ---> _____ (I REALLY Need help on this ASAP! This is Half of my points. Please help me out!)

Drag Each Tile To The Correct Box. The Graph Shows A Proportional Relationship Between The Number Of

Answers

Answer 1

Answer: Shania types 30 words in 1 minute. --> (1, 30)  

Shania types 120 words in 4 minutes. --> (4,120)

Shania types 150 words in 5 minutes. ---> (5, 150)

Step-by-step explanation:

In the given graph, At x-axis we have Time (minutes) which is an independent variable. On the other hand, at y-axis we have Words type which is dependent varaible.

Point on graph is written in the form (x,y)

So, points corresponding to

Shania types 30 words in 1 minute. --> (1, 30)  [here x= 1 and y=30]

Shania types 120 words in 4 minutes. --> (4,120) [here x=4 and y=120]

Shania types 150 words in 5 minutes. ---> (5, 150)[here x= 5 and y=150]


Related Questions

Candice is analyzing the length of time of each song in her playlist. Complete the sentences with the correct terms. Candice wants one number to summarize all of the values in the data set, so she should find a measure of center . She can calculate the or the of the data set.

Answers

Answer:

Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set.

Step-by-step explanation:

Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.  

The three measures of central tendency are:

Mean

Median

Mode

The mean is the average value of the data set.

The median is the middle value of the data, when arranged in ascending or descending order.

The mode of the data set is the value with the highest frequency.

The data collected by Candice is continuous and is measured on an interval scale.

The interval level of measurement classifies and arranges the data set. It also defines a specific difference between each interval of scale.

The measure of central tendency for an interval level of measurement are mean and median.

Thus, the complete sentence is:

"Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set."

Kala's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs at least 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.

Answers

Answer:

3x + 4y ≥ 82

Step-by-step explanation:

3x + 4y ≥ 82

we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82

Resolve into factors.

a)x4-5x2y2+4y4

Answers

Answer:

(x - y)(x + y)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)

The factors are - 1 and - 4 , thus

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x² - y²)(x² - 4y²)

Both of these factors are differences of squares which factor in general as

a² - b² = (a - b)(a + b) , so

x² - y² = (x - y)(x + y)

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y)

Hence

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

44.8

Step-by-step explanation:

cos α = adjacent leg/hypotenuse

cos 48° = 30/x

x = 30/(cos 48°) = 44.8

A bicycle is on sale price for $300 it can be brought through a hire purchase with a deposit of $60 and 10%
interest the outstanding balance, to prepaid in 10 monthly installments calculate:
a)the amount of each monthly instalment
b)the total cost of buying the bicycle by hire purchase

Answers

Answer:

a) $26.4

b) $324

Step-by-step explanation:

Hire purchase is the purchase of an item which can be paid instalmentally.

The bicycle costs $300 for an instant purchase.

For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance

The outstanding balance after paying deposit= $300 - $60 = $240

Hence, 10% of 240 = 10/100 × 240 = 24

An interest of $24 is added.

Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.

a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4

b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price

= $60 + $264

= $324

Hence, a total of $324 will be paid for the bicycle by hire purchase.

N.B: $300 is the sale price + $24 interest

Please can someone help me ASAP

Answers

a) [tex]\frac{8}{2}[/tex]

b) [tex]\frac{9}{4}[/tex]

c) [tex]\frac{3}{-1}[/tex]

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?


a.the oval method

b.the divide-center method

c.the area method

d.the regression calculator method


ty if you answer! :3

Answers

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

solve the equation using square root 5x2-9=6

Answers

Answer:

Is this what you are looking for....

Answer:

x=±√3 or ±1.732

Step-by-step explanation:

5x²-9=6

5x²=6+9

5x²=15

x=±√15/5

x=±√3

An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)? WILL MARK BRAINLIEST

Answers

Answer:

The shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]

Step-by-step explanation:

This question requires an attachment (See attachment 1 for question)

Given

Cube Dimension: 20cm * 20cm

Required

Shortest path from A to B

For proper explanation, I'll support my answer with an additional attachment (See attachment 2)

The shortest path from A to B is Line labeled 2

But first, the length of line labeled 1 has to be calculated;

This is done as follows;

Since, the cube is 20 cm by 20 cm

[tex]Line1^2 = 20^2 + 20^2[/tex] (Pythagoras Theorem)

[tex]Line1^2 = 2(20^2)[/tex]

Take square root of both sides

[tex]Line1 = \sqrt{2(20)^2}[/tex]

Split square root

[tex]Line1 = \sqrt{2} * \sqrt{20^2}[/tex]

[tex]Line1 = \sqrt{2} * 20[/tex]

[tex]Line1 = 20\sqrt{20}[/tex]

Next is to calculate the length of Line labeled 2

[tex]Line2^2 = Line1^2 + 20^2[/tex] (Pythagoras Theorem)

Substitute [tex]Line1 = 20\sqrt{20}[/tex]

[tex]Line2^2 = (20\sqrt{2})^2 + 20^2[/tex]

Expand the expression

[tex]Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20[/tex]

[tex]Line2^2 = 400*2 + 400[/tex]

Factorize

[tex]Line2^2 = 400(2+1)[/tex]

[tex]Line2^2 = 400(3)[/tex]

Take square root of both sides

[tex]Line2 = \sqrt{400(3)}[/tex]

Split square root

[tex]Line2 = \sqrt{400} * \sqrt{3}[/tex]

[tex]Line2 = 20 * \sqrt{3}[/tex]

[tex]Line2 = 20 \sqrt{3}[/tex]

The answer can be left in this form of solve further as follows;

[tex]Line2 = 20 * 1.73205080757[/tex]

[tex]Line2 = 34.6410161514[/tex]

[tex]Line2 = 34.64 cm[/tex] (Approximated)

Hence, the shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]

Answer:

44.72 cm

Step-by-step explanation:

1. This was marked correct by RSM

2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.

3. The answer is 44.72 cm

What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6

There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).

Answers

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.

What is the answer I need help

Answers

Answer:

C

Step-by-step explanation:

What is the probability of any particular pair being chosen?

Answers

The probability of a particular pair to be picked is 1/28, as there is only one way of choosing a particular pair, out of 28 pairs.

numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?

Answers

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add​

Answers

Answer:

24+x=40

Hope this helped

Answer:

hes right look up there

Step-by-step explanation:

hes right :) only for a p e x

A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?

Answers

Answer:

60cm

Step-by-step explanation:

Given the width of a rectangle W = x centimeters

If the  length is 10 centimeters longer than the width, then L = (10 + x)cm

Perimeter of the rectangle = 220 cm

To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;

Perimeter P = 2(L+W)

Substituting the value of the length and the width, we will have;

P = 2(10+x+x)

220 = 2(10+2x)

Dividing both sides by 2;

220/2 = 2(10+2x)/2

110 = 10+2x

2x = 110-10

2x = 100

x = 100/2

x = 50cm

Since the length of the rectangle L = 10+x

The length of the rectangle = 10+50 = 60 cm

Hence, the measure of the length is 60 cm

Answer:

60cms

Step-by-step explanation:

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

[tex]\boxed{\mathrm{all \: real \: numbers}}[/tex]

Step-by-step explanation:

[tex]F(x)=2^x[/tex]

The domain of a function is the set of input values that the function can take.

There are no restrictions on the value of x.

The domain of the function is all real numbers.

[tex]- \infty\leq x\leq \infty[/tex]

50 Pts!! Brainliest!! Answer ASAP, thx.

Answers

Answer:

1/625

Step-by-step explanation:

When you multiply, you add the exponents. You now have [tex]6^{-4}[/tex]. This is equivalent to [tex]\frac{1}{5^{4} }[/tex] which equals 1/625.

Answer:

1/625

Step-by-step explanation:

5^ -1 * 5^-3

The bases are the same, so we can add the exponents

5^ (-1+-3)

5^-4

We know that a^-b = 1/ a^b

1/5^4

1/625

Two angles are supplementary (meaning they add up to 180 ° ). The ratio of the relationship of the measure of Angle A to the measure of Angle B is 3:4. What are the measure of both angles?

Answers

Answer:

Angle A= 77.14°

Angle B= 102.86°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°, as stated in the question.

This means that Angle A + Angle B= 180°

The measure of Angle A to Angle B is 3:4

3:4 --------> 3+4 = 7 total parts

Hence, angle A will be 3/7 of the total angle (180°)

angle B will be 4/7 of the total angle (180°)

That is, angle A = 3/7 × 180° = 77.1428°

angle B= 4/7 × 180° = 102.857°

Approximately, angle A = 77.14° while angle B= 102.86°

How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4

Answers

Answer:

2 times

Step-by-step explanation:

Well let's first graph the quadratic equation,

Look at the image below ↓

By looking at the image below we can tell that the graph touches the x axis 2 times at,

(-1,0)

(1 1/3,0)

Thus,

the parabola touches the x axis twice.

Hope this helps :)

Answer:

3

Step-by-step explanation:

What is the measure of angle x?
10
20
30
40

Answers

Answer:

20

Step-by-step explanation:

Since 30 and 3x are complementary we can write:

30 + 3x = 90

3x = 60 so x = 20°.

Answer:

20

Step-by-step explanation:

30 + 3x = 90

=> 3x = 90 - 30

=> 3x = 60

=> x = 60/3

=> x = 20

pls mark me as brainleist :)

-3a(a^2-10a+25)= expand it and it has to be in polynomial form

Answers

Answer:

[tex] - 3 {a}^{3} + 30 {a}^{2} - 75a[/tex]

Step-by-step explanation:

[tex] - 3a( {a}^{2} - 10a + 25)[/tex]

Multiply each term in the parentheses by -3a

[tex] = - 3a \times {a}^{2} - 3a \times ( - 10a) - 3a \times 25[/tex]

Calculate the product

[tex] = - 3 {a}^{3} - 3a \times ( - 10a) - 3a \times 25[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) \ = ( + )[/tex]

[tex] = - 3 {a}^{3} + 3a \times 10a - 3a \times 25[/tex]

Calculate the product

[tex] = - 3 {a}^{2} + 30 {a}^{2} - 75a[/tex]

Hope this helps...

Best regards!!

Bro did you go in the next grade?

Graph the data set.
{(-1, 0.5), (0, 1), (1, 2), (3, 8), 5, 32)}
Which kind of model best describes the data?

a. quadratic
b. exponential
c. linear
d. cubic

Answers

Answer:

b. Exponential

Step-by-step explanation:

We are given the coordinates as the data set:

[tex]\bold{\{(-1, 0.5), (0, 1), (1, 2), (3, 8), (5, 32)\}}[/tex]

First of all, let us plot the given coordinates on the xy coordinate axis.

Let us have a look at the values of x and y first.

A pair is represented as (x, y) i.e. first value is of 'x' and the second value is of 'y'.

[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 0.5 \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 5 & 32\end{tabular}\end{center}[/tex]

If we plot them on the graph, we get the graph as the image attached in the answer area.

Let us join the coordinates using a curve.

If we closely look at the graph, there is a sudden increase with increasing value of 'x'.

Actually the increase is exponential.

Observing the given coordinates, we can see that they are in the form:

[tex](x, 2^x)[/tex]

i.e. [tex]y =2^x[/tex]

So, the exponential model best describes the data.

Correct answer is:

b. exponential

Plz plz please answer it fast urgent

Answers

Answer - 1) -6/3

2)3/20

3)3/4

Hope this may helps you

Answer:

A.-2

B.its 3/20=0.15

C.3/4=0.75

Pls answer the 9th question...plsss fast

Answers

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?

Answers

Answer:

The amount of fiber in the entire tomato is approximately 1 g

Step-by-step explanation:

A tomato is cut into 8 slices.

1 slice contains 012 g of fiber

8 slices will contain;

[tex]\frac{8 * 0.12}{1}[/tex] g = 0.96g which equals to 1 g when rounded up nearest  gram.

So the amount of fiber in the entire tomato is 0.96g ≈ 1g

Help please!!!!!!Thank you

Answers

Answer:

A

Step-by-step explanation:

The rhombus cuts the shorter side of the rectangle in half so it's equal to 5

we use pythagoras

[tex]13^{2} = 5^2+x^2\\x^2= 169-25\\x^2= 144\\x=12[/tex]

so the larger side is 2x=24

so the area is 24*10=140cm^2

If f(x) =27, then x=?

Answers

Answer:

x=1

Step-by-step explanation:

f(x)=27

y=27(x)

x=1

y=27

A Pythagorean spiral is constructed by drawing right triangles on the hypotenuse of the other right triangles. Start with a right triangle in which each leg is 1 unit long. Use the hypotenuse of that triangle as one leg of a new triangle and draw the other leg 1 unit long. A spiral has been started below, continue the pattern until a spiral with 12 triangles is formed. 1. Determine the Tangent of the angle at the centre of the spiral for each of the first five triangles. 2. Use this pattern to predict the tangent of the 100th triangle.

Answers

Answer:

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

x over 4 + 3/5 is equal to 3x over 5 - 2 ​

Answers

Answer:

[tex]\huge\boxed{x=\dfrac{52}{7}=7\dfrac{3}{7}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{4}+\dfrac{3}{5}=\dfrac{3x}{5}-2\qquad\text{multiply both sides by}\ LCD=20\\\\20\cdot\dfrac{x}{4}+20\cdot\dfrac{3}{5}=20\cdot\dfrac{3x}{5}-20\cdot2\\\\5\cdot x+4\cdot3=4\cdot3x-40\\\\5x+12=12x-40\qquad\text{subtract 12 from both sides}\\\\5x+12-12=12x-40-12\\\\5x=12x-52\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\5x-12x=12x-12x-52\\\\-7x=-52\qquad\text{divide botgh sides by (-7)}\\\\\dfrac{-7x}{-7}=\dfrac{-52}{-7}\\\\x=\dfrac{52}{7}[/tex]

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According to socialist supporters, what impact did industrialization have on workers?A. Instead of being dignified artisans, workers were now laborers for a bossB. Artisans were looked down on after industrializationC. There used to be more jobs available, but machinery replaced all of the workersD. New immigrants unfairly took jobs from others Draw the Lewis structure of acetaldehyde (CHCHO) and then choose the appropriate pair of molecular geometries of the two central atoms. a) tetrahedral/trigonal pyramidal.b) trigonal planar / linear.c) tetrahedral / trigonal planar.d) trigonal/tetrahedral.e) planar /trigonal planar. The following liquids are stored in a storage vessel at 1 atm and 25C. The vessels are vented with air. Determine whether the equilibrium vapor above the liquid will be flammable. The liquids are:________. a. Acetone b. Benzene c. Cyclohexane d. Toluene Problem bob has to pack 192 boxes. this morning, he packed 84 boxes in 3 1/2 hours. if bob continues at the same rate, how long will it take him to pack the remaining boxes? The following present value factors are provided for use in this problem. 1 0.9259 0.9259 2 0.8573 1.7833 3 0.7938 2.5771 4 0.7350 3.3121 Cliff Co. wants to purchase a machine for $40,000, but needs to earn an 8% return. The expected year-end net cash flows are $12,000 in each of the first three years, and $16,000 in the fourth year. What is the machine's net present value? Please answer this correctly without making a mistake I need a correct answer Please help. Ill mark you as brainliest if correct! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle? Describe the orientation of magnetic field lines by drawing a bar magnet, labeling the poles, and drawing several lines indicating the direction of the forces. Whoever will answer will be marked as brainliest. Please answer my question Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem? StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction Find the value of sin() for an angle theta in standard position with a terminal ray that passes through the point (4,-3) Several studies have found that in the United States ,their is a rising trend of obesity for people between the ages of 2 and 19. What does this say about the country's overall health ? A) Youth are at a lower risk of developing chronic diseases later in life. B) Healthier food choices are an important factor in reducing obesity and other chronic illnesses. C) Youth aged 2 to 19 years are less likely to consume unhealthy foods. D) An increase in youth diagnosed with nutrition-driven chronic disease will not likely continue. I would like some help please and thank you First 2 questions The format of writing an email Question 1(Multiple Choice Worth 5 points)What does jettison mean?To throw things off a ship to lighten its loadThe space between where the words end and the edge of the pageSomeone who hides on board a ship to avoid paying their fare or get away from pursuersSad, heart-wrenching Susan and Mark are given the same amount of money. Mark spends $5 and susan spends $20. If Mark now has twice as much money as Susan , how many dollars did they each have originally ? A particle moves in a velocity field V(x, y) = x2, x + y2 . If it is at position (x, y) = (7, 2) at time t = 3, estimate its location at time t = 3.01. 2. A solid plastic cube of side 0.2 m is submerged in a liquid of density 0.8 hgm calculate theupthrust of the liquid on the cube. Please help Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3