If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

Parallelogram ABCD is shown.
A is at negative 4, 1.
B is at negative 3, 2.
C is at 0, 2.
D is at negative 1, 1.

Answer:

(Fill in the blank)

If Parallelogram ABCD Was Reflected Over The Y-axis, Reflected Over The X-axis, And Rotated 180, Where

Answers

Answer 1

Answer:

-4, 1

Step-by-step explanation:

A (-4, 1)

reflected over y-axis –> (4, 1)

reflected over x-axis –> (4, -1)

rotated 180º –> (-4, 1)


Related Questions

How many students were asked? How do you know?


Find the median for these data.

Answers

Answer:

a=10 students because there are 10 answers.

b=5

Step-by-step explanation:

a=10 students because there are 10 answers.

b, you need to list the numbers all out and rearrange them from smallest to largest.

0, 0, 1, 2, 3, 7, 9, 10, 13, 15

The median means the middle which is 3 and 7

Because we have two numbers, we need to find the middle number of 3 and 7 which is 5

Is my answer of mine days right.

Answers

Answer:

indeed it is

Step-by-step explanation:

Use the vertical line test to determine which graph does not repela function

Answers

Answer:

graph b

Step-by-step explanation:

if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function

Answer:

the answer is graph b

Step-by-step explanation:

I'm doing algebra and I need help

3p+q=7
2p-2q= -6

sorry about the pic my handwriting is bad but please help me​

Answers

Answer:

3p + q =7

2p - 2q = -6

6p +2q = 14

2p -2q = -6

8p = 8

p = 1

so q = 4

Step-by-step explanation:

Answer:

P= 1, q= 4

Step-by-step explanation:

3p + q = 7 -------------(1)

q=7-3p ------------------(1a)

2p- 2q= -6 -------------(2)

Substitute (1a) in (2)

We have :

2p - 2( 7- 3p) = -6

2p -14 + 6p = -6

8p= 14-6= 8

P= 8/8 =1

From, q=7 -3(1)

q= 7-3

q= 4

Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth

Answers

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]

[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]

(b)Area of the sector

Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]

[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA. 13
OB. 40
C.
56
D.
64

Answers

Answer: They can do 56 different combinations.

Step-by-step explanation:

744-__=312+220 I m in need ​

Answers

744-x=532
-x=532-744
x=-212

Marie has a collection of shark teeth. When her uncle returns from vacation, he brings her 141414 more shark teeth. Now Marie has 515151 shark teeth.
How many shark teeth did Marie have before her uncle's gift?

Answers

Answer:

  37

Step-by-step explanation:

Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:

  51 -14 = 37

Marie had 37 shark teeth.

Which matrix represents the system of equations below?

Y=10

4x-5y=3

Answers

Answer:

The matrix that represents the system of equations is:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

Step-by-step explanation:

We will use the first column for x, the second to y and the last for the independent term.

We have:

[tex]y=10\rightarrow0x+1y=10\\\\4x-5y=3[/tex]

Then, we can write the matrix to represent the system of equations as:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

I will mark the brianliest for the first person to answer right. Give you 30 points.
There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in. If you make a horizontal slice through it, what is the area of the exposed 2-dimensional shape? (show your work in numbers)

Answers

Answer: The required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Step-by-step explanation:

Given, There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in.

If we make a horizontal slice through it, then we will have two-dimensional figure called 'rectangle' with dimensions length by width as 12.5 in. by 11 in.  [As per given]

Then, the area of the exposed 2-dimensional shape = Area of the reactngle

= Length x width

[tex]=12.5\text{ in.}\times11\text{ in.}\\\\=137.5\text{ in.}^2[/tex]

Hence, the required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

what is the circumference of the semicircle

Answers

Answer:

[tex]12.56m[/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]

Answer:

this answer is attached to the picture

Mrs. bell wrote the expanded form of a number, as shown. 5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Answers

Answer:

546.208

Step-by-step explanation:

Let's break this down.

5 x 100 = 500

4 x 10 = 40

6 x 1 = 6

2 x 1/10 = .2

8 x 1/1000 = .008

Now, let's add to find the number.

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form is 546.208

The final answer of Mrs. bell expression will be 546.208

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

the expanded form of a number is written as :

5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Let's calculate it bit by bit :

[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]

Now, let's add all the terms we get :

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form of expression written by Mrs. bell is 546.208

Read more about property of addition here :

https://brainly.com/question/14391436

#SPJ2

QUESTION 1
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his
Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the
situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and
Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below.
Patient
A
B
C
DE
F
G
HI
J
Age (X) in Years
20 25 50
3045
60
10
15 35
70
BP(Y) in (mmHg) 80 85 125
90 100 135 80 70 100 140
NB: Approximate to 2 decimal places
Use the table to answer the questions that follow,
Calculate the product moment correlation coefficient for the data and interpret your result.
(3 Marks)​

Answers

Answer:

r=0.96

Step-by-step explanation:

The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that shows the strength of the linear relationship between two variables.

Given the result of 10 hospital patients which were sampled below:

[tex]\left|\begin{array}{c|ccccccccccccc}$Patient&A&B&C&D&E&F&G&H&I&J\\$Age (X) in Years&20&25&50&30&45&60&10&15&35&70\\$B.P.(Y) in mmHg&80&85&125&90&100&135&80&70&100&140\end{array}\right|[/tex]

To determine the product moment correlation coefficient for the data, we follow the steps below:

Step 1: Find the following as it was done in the table below.

[tex]\sum{X}~,~ \sum{Y} ~,~ \sum{X \cdot Y} ~,~ \sum{X^2}~,~and \sum{Y^2}[/tex]

Step 2: Take the sum of every column to obtain:

[tex]\sum{X}=360 ~,~ \sum{Y}=1005 ~,~ \sum{X \cdot Y}=40425 ~,\\~ \sum{X^2}=16500 ~,~ \sum{Y^2}=106475[/tex]

Step 3: Use the following formula to find the PMCC.

[tex]r=\dfrac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}{\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}}[/tex]

[tex]=\dfrac{10\cdot 40425 - 360\cdot1005}{\sqrt{\left[10*16500}-\left(360\right)^2\right] \cdot \left[10*106475-\left(1005\right)^2\right]}}[/tex]

[tex]=\dfrac{42450}{\sqrt{1937265000}}\\=0.9645\\r\approx 0.96$ (correct to 2 decimal places)[/tex]

Interpretation

When r is closer to 1, there is a strong positive relationship between the variables. A value of 0 indicates that there is no relationship between the variables. Values close to -1 signal a strong negative relationship between the two variables.

Since r=0.96 which is closer to 1, we conclude that there is a strong relationship between the age and the high blood pressure related deaths in the state.

Which equation represents the following graph y=3x+2

Answers

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

A man loses 20 percent by selling an article for 11 naira. What was the cost price of the article

Answers

Answer:

hbbhhhhhggggg

Step-by-step explanation:

vgggggffffff

Please answer number 5 I give brainliest thank you!

Answers

Answer:

Mean : 66

Mode: 80

Median:70

Step-by-step explanation:

Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66

Mode most occurring, so 80.

Median arrange in ascending order and find middle value, so 70

What is the vertex of the function " f(x) = x2 – 8x – 9 "

Answers

Answer:

(4, -25)

Vertex form: (h, k)

Answer:

Hey!

Your answer is (4, -25) in the vertex form which is (h,k)

Step-by-step explanation:

HOPE THIS HELPS!!

PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!! I PROMISEEEEEEEE

Answers

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

Hannah is a freshman in college. Her scholarship indicated that each quarter she has $1000 deposited into a meal plan account for her to use to purchase food. Every day Hannah spends $25 on food. Let f(x) represent the amount of money remaining in the account and x represent the number of days.

Answers

Answer:

f ( x ) = $1000 - $25*x

( 40 days, $0 )

( 0 days , $1000 )

Step-by-step explanation:

Solution:-

- Every quarter Hannah receives $1000 in her account for meal plan.

- So for a quarter of a year she has $1000 to spend.

- She spends $25 on food each day; hence, an amount of $25 is deducted each day.

- We can mathematically express the amount remaining in her account after ( x ) days as follows:

                    y = f(x) = Initial deposit - (per day deduction)*x

Where,

               y: The amount remaining in Hannah's account after x days.

- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.

                   y= f(x) = $1000 - ($25)*x

- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.

- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:

                    f ( x ) = 1000 - 25x = 0

                    x = 1000 / 25

                    x = 40 days

- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:

                    ( 40 days , $0 )  ... Answer

- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):

                     f ( 0 ) = 1000 - 25*0

                     f ( 0 ) = $1000

- The ordered pair for the y-intercpet would be:

                     ( 0 days , $1000 )   ... Answer  

A 7 kg ham costs $19/kg. Find the cost per pound.

Answers

Answer: [tex]\$8.62/\text{Pound}[/tex]

Step-by-step explanation:

Given

There is [tex]7\ kg[/tex] of ham available which costs

cost[tex]=\$\ 19/kg[/tex]

i.e.

[tex]1\ kg\ \text{costs}\ \$19[/tex]

and we know

[tex]1\ kg=2.204\ \text{pound}[/tex]

So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]

thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.Is this evidence that the scent of lavender is not gender‑neutral, on average? Select the correct statement of H0H0 , HaHa , and the hypotheses parameter in the corresponding test. - Let µμ be the mean gender‑orientation score for all smells being studied. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if all of the smells are not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=1.28H0:μ=1.28 versus Ha:µ≠10.28Ha:μ≠10.28 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ<12H0:μ<12 versus Ha:µ≥12Ha:μ≥12 ; The alternative is not two‑sided because we want to test if lavender is gender‑neutral.

Answers

Question:

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.

Is this evidence that the scent of lavender is not gender neutral, on average? Select the correct statement of H0, Ha, and the hypotheses parameter in the corresponding test. -

a) Let µ be the mean gender-orientation score for all smells being studied. We test H0: µ=12 versus Ha: µ≠12 ; The alternative is two-sided because we want to test if all of the smells are not gender-neutral.

b) Let µ be the mean gender-orientation score for lavender. We test H0:µ=1.28 versus Ha:µ≠10.28; The alternative is two-sided because we want to test if lavender is not gender-neutral.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

d) Let µ be the mean gender-orientation score for lavender. We test H0: µ < 12 versus Ha: ≥ 12 ; The alternative is not two-sided because we want to test if lavender is gender-neutral.

Answer:

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Step-by-step explanation:

Here, some smells are perceived to be more feminine while some are more masculine. The researcher picked a sample size of 300 american adults to score quantitatively the perceived gender-orientation of lavender.

We are told that when the score is smaller it indicates a mord feminine scent, when the score is larger it indicates a more masculine scent while a score of 12 indicates a gender neutral scent.

In this case the participants gave lavender a score of 10.28

From the above information we have the following :

Mean, µ = 12

Sample size = 300

Sample mean x' = 10.28

Since the sample mean is less than 12, the null and alternative hypotheses will be:

H0 : µ = 12

Ha : µ ≠ 12

This is a two tailed test because the alternative hypothesis is not gender based, which means lavender could be perceived to be either more feminine or more masculine.

The correct option is option C.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Helen rolls a dice and flips a coin.

Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.​

Answers

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

Write the equation of a line with the slope of 2, which contains the point
(4,-8).

Write your equation in slope intercept form and do NOT put any spaces in your answer.

Answers

Answer:

y=2x-16

Step-by-step explanation:

So since we have a point and the slope, we can use the point-slope equation to find our equation of a line

y - y₁ = m(x - x₁)

Here our (x₁, y₁) point is (4, -8) and our m is 2

Plugging in these values to our equation gives us:

y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the  8 from both sides gives our equation of a line y = 2x - 16

In a class,three fifths of the children are girls.what percentage are boys.

Answers

Answer:

40%

Step-by-step explanation:

If 3/5 = .06 are girls

that means

2/5 = .04  are boys

now

5/5 = 1 are the total children

Finally find the percentage

(.06)(100) = 60% girls

(.04)(100) = 40% boys

What’s the correct answer for this?

Answers

Answer:

Option (2)

Step-by-step explanation:

Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0

Now we will convert this equation into the standard equation of the circle.

x² + 12y + 22x + y² - 167 = 0

(x² + 22x) + (y² + 12y) = 167

[x² + 2(11)x] + [y² + 2(6y)] = 167

[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167

[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167

(x + 11)² + (y + 6)²- (11)²- (6)² = 167

(x + 11)² + (y + 6)² - 121 - 36 = 167

(x + 11)² + (y + 6)² - 157 = 167

(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157

(x + 11)² + (y + 6)² = 324

Therefore, option (2) will be the standard equation of the given circle.

Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000 If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000 x =

Answers

Answer: 12.5

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

i just did it

What is the value of the expression 5 × (4 + 3) – 4

Answers

Answer:

31

Step-by-step explanation:

distribution

5(4+3) - 4

20+15-4

=31

Answer:

19

Step-by-step explanation:

5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps

A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176

Answers

Answer:

We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.

Step-by-step explanation:

hope it helps ig

A cone and cylinder have the same height and their bases are congruent circles. If the
volume of the cylinder is 120 in3, what is the volume of the cone?

Answers

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

Formulas

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

Cone volume

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

Other Questions
Which of these is not a natural earth cycle?rockwatercarbonoil In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether? What is the area of the circle below, the circle has a radius 20.5 ft.84 feet92 feetO 1319.59 ftsq659.79 ftsaO 128.74O none A rectangular pyramid has a volume of 1.512in, a height of 12 in., and a base length of 21 in. What is the width of its buse?2 in.6 in.12 in18 in. Working to improve the standard of living for residents of the inner cities is an example of _A) social justice B) religious diversity C) city planningD) financial deregulation I NEED THIS ASAPWhat does the satellite image below represent? After the assassination the Roman Republic was restored and all in Rome was in a peaceful time period. *true/ false Check all that apply Which graph shows a solution to the following system?{ x -y -1{ x+y 0 Please help me in this question. Under its executive stock option plan, W Corporation granted options on January 1, 2021, that permit executives to purchase 28 million of the company's $1 par common shares within the next eight years, but not before December 31, 2023 (the vesting date). The exercise price is the market price of the shares on the date of grant, $19 per share. The fair value of the options, estimated by an appropriate option pricing model, is $5 per option. No forfeitures are anticipated. The options are exercised on April 2, 2024, when the market price is $22 per share. By what amount will W's shareholders equity be increased when the options are exercised Based on this excerpt from Ernest Hemingway's "In Another Country," what is the contextual meaning of the phrase "take up"?"Ah, yes," the major said. "Why, then, do you not take up the use of grammar?" So we took up the use of grammar, and soon Italian was such a difficult language that I was afraid to talk to him until I had the grammar straight in my mind.A. to become interested in or engaged in somethingB. to begin to hold or work at a position or postC. to occupy time, space, or the attention of someoneD. to pursue a matter later or further with someone Buying a government bond is __________. I will give 5 stars, thanks and brainliest!! :)The antibiotic needs further testing before it can be licensed for human use.The first stage is pre-clinical tests using live cells, tissues and animals.Describe the other stages of drug testing.Give reasons for each stage. (6 marks) A gumball machine contains 7 red, 5 yellow, and 6 orange gumballs. What is the probability that the next gumball that comes out will be either red or yellow?show work pls tnx! Parks Corporation is considering an investment proposal in which a working capital investment of $10,000 would be required. The investment would provide cash inflows of $2,000 per year for six years. The working capital would be released for use elsewhere when the project is completed. If the company's discount rate is 10%, the investment's net present value is closest to (Ignore income taxes):a) $1,290 b) $(1,290) c) $2,000 d) $4,350 Which of the following is the result of expanding 5 n=1 (2n-2)? Sunlight enables plants to use water and carbon dioxide during photosynthesis to make and store sugar. Any animal that eats the plants can convert the sugar into the energy it needs to move from place to place. Which three types of energy are involved in this example? 1. 2. 3. ?4. 5. 6. ! !7. : 8. - !9. 10. [Shakespeare) was thirty before he undertook the completion of his first tragedy, more or less properly socalled Romeo and Juliet, in 1594. Perhaps this ambitious work was his first play designed for the LordChamberlain's Men; as probably his next tragedy five years later, Julius Caesar, was designed for theopening of the Globe. They would have been substantial incentives, the formation of the new company,the erection of the new theatre. In the interim he made many more comedies and histories... It isreasonable to enquire what happened to the man who during 1599 and 1600 probably wrote Henry V,Julius Caesar, As You Like It, Twelfth Night, who in 1601 wrote Hamlet and followed it during the nextfive years with with Othello, with King Lear, with Macbeth.-John Berryman, The American Poetry ReviewaWhat is Berryman saying about what Shakespeare preferred to write?Shakespeare preferred tragedies.b. Shakespeare did not write enough plays.Shakespeare was poor.d. Shakespeare preferred comedies and histories.CHelppppp