Special right triangles find missing sides.

Special Right Triangles Find Missing Sides.

Answers

Answer 1

Answer:

56+45=101

101-90=11 °

Step-by-step explanation:

here is your answer 11°


Related Questions

The area of a rectangle is 44 square inches . The length of one side is 11 inches.what is the length of the other side

Answers

Answer:

Step-by-step explanation:

A = 44

a = 11

______

b - ?

A = a·b

b = A / a = 44 / 11 = 4 ( inches)

What is the value of the expression?
Drag and drop the answer into the box to match the expression.

0.3(14−1)+0.35

A -0.575
B -0.125
C 0.125
D 1.925
E 1.4

Answers

You can PEMDAS this equation. For this specific one you go Parentheses, Multiplication, then Addition.

0.3(13)+0.35
3.9+0.35
4.25

Answer: 4.25

The monthly property tax for a home, in dollars, in a certain city y years after 1990 is $333 + $35y
Which of the following is correct?
OA. The property tax increased by $333 each year after 1990.
OB. The property tax decreased by $333 each year after 1990.
OC. The property tax increased by $35 each year after 1990.
OD. The property tax decreased by $35 each year after 1990.

Answers

C is the right answer

Answer:

The property tax increases by 35

Step-by-step explanation:

The number 333 in the equation is a constant.  It is added to the total no matter how many years after 1990.  The 35 is what is increasing every year after 1990.

This item has two parts: Part A and Part B. Use the information and table to complete Part A and Part B.

Jennifer’s bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance.

f(x) = 12x + 45

The balance of William’s bank account is modeled in the table.

Weeks 0 1 2 3 4
Total Balance ($) 30 44 58 72 86


Part A
What function represents the balance of William’s bank account?

g(x) = 14x + 30

g(x) = 30x

g(x) = 30x + 14

g(x) = 14x

Part B
Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Is Jennifer CORRECT?

No, because her rate of change is $ 45 per week which is less than William’s rate of change.

Yes, because her rate of change is $ 12 per week which is more than William’s rate of change.

Yes, because her rate of change is $ 45 per week which is more than William’s rate of change.

No, because her rate of change is $ 12 per week which is less than William’s rate of change.

Answers

Answer:

A) g(x) = 14x + 30

B) The last explanation

No, because her rate of change is $12 per week which is less than William's rate of change.  

Step-by-step explanation:

A:

At the beginning William as 30 dollars (0,30)  Week zero he has 30.  Then each week, his balance goes up 14 dollars

g(x) = 14x + 30  

B:

Jennifer's bank account is increasing by 12 dollars a week, but William's is increasing 14 dollars a week.

Noreen can walk 13 mile in 12 minutes. What is her average speed in miles per hour?.

Answers

The average speed in miles per hour is 1.67 miles/hour

What is her average speed?

Average speed is calculated by dividing distance by time (eg miles/hour).

Given that, Noreen can walk 1/3 mile in 12 minutes.

We need to find her average speed.

We know that the total distance covered divided by the total time taken is called the average speed of Noreen.

Mathematically, it is given by :

v=d/t

t = 12 minutes = 0.2 hours

v=(1/3 mile)/0.2 hours

v = 1.67   miles/hour

So, the average speed of Noreen is 1.67  miles/hour. Hence, this is the required solution.

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A chef's specialty calls for one-twentieth of an ounce of a spice per serving. The chef has a digital scale that shows the weight as a decimal. What scale reading
does the chef need to see for this spice when preparing the specialty for 19 people?

Answers

The scale of reading that the chef needs to see for this spice when preparing the specialty for 19 people would be = 4.5 ounce.

Who is a chef?

A chef is a trained individual in various aspects of preparation of dishes, who has the knowledge of combination of food products to achieve an adequate meal.

The quantity of spice per serving= 1/20 ounce.( For an individual)

The quantity of people to prepare specialty for = 90 people

The quantity of spice that would be used to prepare specialty for 90 people would be;

= 1/20 × 90

= 90/20

= 4.5 ounce.

Therefore, the scale reading the chef needs to see for preparing of specialty for 90 people would be = 4.5 ounce.

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2x+y=1 and y=2x+1 how many solutions

Answers

The expression 2x + 1 = y and y = 2x + 1 has no solution.

Expression:

The expression means a mathematical statements that have two terms at least that contain variables, numbers, or both connected by the arithmetic operators.

Given,

Here we have the expressions 2x + 1 = y and y = 2x + 1.

Now, we have to find the number of solution for this expression.

When we try to find the solution(s) graphically, you would plot both of the equations as straight lines. The solution(s) lies where the lines intersect.

But here we looking into the given equation both are equal.

And if we plot these on the graph then it will simply present the straight line. And there is no intersection in it.

Which also states that there is no solution for this expression.

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Please help! Four transformed absolute value functions are shown in the graph. Write the name of the function that matches each equation on the blank.

Answers

The name of the function that matches each equation on the blank is,

-|x-7|= h(x)

0.5|x-3|= g(x)

|x-3|-2= f(x)

-5|x-7|=j(x)

What is meant by a function?

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.

The name of the function that matches each equation on the blank is,

-|x-7|= h(x)

0.5|x-3|= g(x)

|x-3|-2= f(x)

-5|x-7|=j(x)

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In a certain Algebra 2 class of 24 students, 6 of them play basketball and 7 of them play baseball. There are 13 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

  P(basketball or baseball) = 11/24

Step-by-step explanation:

You want the probability that a randomly chosen student plays either sport, given the probability that 13 of the 24 students plays neither sport.

Complement

The probability that a student plays at least one (of the two) sports is the complement of the probability they play neither sport. If 13 of 24 students play neither sport, then (24-13)/24 = 11/24 must play at least one of the two sports.

  P(basketball or baseball) = 11/24

__

Additional comment

6+7-11 = 2 students play both sports.

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Need help pls
I HAVE A BAD GRADE IN MATH HELP PLS

Answers

The rounded value of x² = 521/73 is ± 2.67 and already rounded to the nearest hundred.

What is a perfect square number?

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

Given, x² = 521/73.

∴ x² = 7.13.

x = ± √7.13.

x = ± 2.67.

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Jason decided to begin a workout program. He wants to start running three times a week. At the beginning of the workout program, his weekly average per run is 1 mi. He increases his weekly average per run by 17% each week, according to an exponential growth model. Jason makes a sketch of the graph for this situation. He plots the point containing the y-intercept, (0,1) . He then plots the point representing the weekly average per run for Week 7 and rounds the coordinates of the point to the nearest tenth. What are the coordinates of the point that represents the weekly average per run for Week 7?

Answers

The coordinates of the point that represents the weekly average per run for Week 7 is (7, 3.00).

What is an exponential function?

It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = aˣ

where a is a constant and a>1

It is given that:

Jason decided to begin a workout program. He wants to start running three times a week.

As we know, the exponential function can be represented as:

f(x) = abˣ

The weekly average per run is 1 mi.

He increases his weekly average per run by 17% each week,

The exponential function:

f(x) = 1(1.17)ˣ

Plug x = 7

f(7) = 1(3.0012)

f(7) = 3.00

Thus, the coordinates of the point that represents the weekly average per run for Week 7 is (7, 3.00).

The complete question is:

Jason decided to begin a workout program. He wants to start running three times a week. At the beginning of the workout program, his weekly average per run is 1 mi. He increases his weekly average per run by 17% each week, according to an exponential growth model. Jason makes a sketch of the graph for this situation. He plots the point containing the y-intercept, (0,1) . He then plots the point representing the weekly average per run for Week 7 and rounds the coordinates of the point to the nearest tenth. What are the coordinates of the point that represents the weekly average per run for Week 7?

options:

A. (7, 3.2)

B. (7, 2.7)

C. (7, 3.0)

D. (7, 4.6)

E. (7, 4.1)

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Answer:

7,3,0

Step-by-step explanation:

A salami is 2 3/5 inches long. The salami is cut into 1/8 inch thick slices.
How many slices of salami were cut?

Answers

Answer:

20 slices

Step-by-step explanation:

2 3/5 = 13/5

13/5 / 1/8

(13/5)(8/1) = 20.8

about 20 slices

PLEASE HELP ASAP
Given 2 and 1 over 10 times negative seven times 5 over 12, determine the product.


negative fourteen and 5 over 120

negative six and 1 over 8

fourteen and 5 over 60

six and 1 over 8

Answers

Answer:A

Step-by-step explanation:negative fourteen and 5 over 120

Because you multiple

2 x -7  = -14

10 x 12 = 120

1 x 5 = 5

The price of an item yesterday was $80. Today, the price rose to $216. Find the percentage increase.

Answers

Answer:

170%

Step-by-step explanation:

increase in price = 216 - 80 = $136

x : 100 = 136 : 80

x = 100 * 136 / 80

x = 10 * 136/8

x = 1360 / 8

x = 170 %

Answer:

170%

Step-by-step explanation:

80+170%=$216

A tank ha 120 gallon of water and i being drained at a rate of 1/2 gallon each econd. Another tank ha 100 gallon of water and i being drained at a rate of 1/4 gallon each econd. Which equation could be ued to determine x, the number of econd, when the two tank have the ame amount of water?

Answers

The equation that could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120 - 1/2(x) = 100 - 1/4(x) or x = 80.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x be the number of seconds at the moment that the two tanks have the same amount of water.

If a tank has 120 gallons of water and is being drained at a rate of 1/2 gallon each second, the the amount of water left after time = x is "120 - 1/2(x)".

If another tank has 100 gallons of water and is being drained at a rate of 1/4 gallon each second, the the amount of water left after time = x is "100 - 1/4(x)".

Equate the two expressions to determine the time, x , at which the two tanks have the same amount of water left.

120 - 1/2(x) = 100 - 1/4(x)

20 = 1/4 x

x = 80

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The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

The slope of the line is 10.

Given:

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.

The line begins at the line begins at the origin and passes through the point (2,20).

slope between (0,0) and (2,20).

slope m = y2 - y1 / x2 - x1

= 20 - 0 / 2 - 0

= 20/2

= 10.

Therefore the slope of the line is 10.

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The directions on a swimming pattern says to cut an extra 15 percent of fabric to account for error chloe needs 0.75 yard of fabric to make a skirt and she cuts 0.8625 yards did chloe cut the correct amount of fabric white or why not

Answers

The directions on a swimming pattern says to cut an extra 15 percent of fabric to account for error, Chloe needs 0.75 yard of fabric to make a skirt and she cuts 0.8625 yards,

Given that the directions on a sewing pattern say to cut an extra 15% of fabric to account for an error, and Chloe needs a 0.75 yard of fabric to make a skirt, so she cuts 0.1125 yard, to determine if Chloe cut the correct amount of fabric the following calculation must be made:

0.75 x 1.15 = X

0.8625 = X

0.8625 - 0.1125 = 0.75

Therefore, the amount of fabric that Chloe cut is correct.

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Find the length of, side x in simplest radical form with a rational denominator.

Answers

The side x is √2 cm when the right angle triangle is given with hypothesis 2 cm.

Given that,

In the picture we have a right angle triangle.

We have to find the side x.

The angles are 90°, 45° and 45°.

The hypothesis is 2cm.

By the trigonometric ratio.

The study of angles and the angular relationships between two-dimensional and three-dimensional shapes is known as trigonometry.

Sin45°= opposite side/ hypothesis

1/√2= x/2

x=2/√2

x=√2

Therefore, The side x is √2 cm when the right angle triangle is given with hypothesis 2 cm.

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Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?

Answers

The correct option is (c).

(A) We know that sum of the interior angles of a triangle is equal to 180°.

m∠a + m∠b + m∠c = 180° (all three are interior angles)

(B) If the sum of two angles is 180°, that angle is called a supplementary angle. In other words, when two angles add to form a straight line, they are called supplementary angles.

m∠d + m∠c = 180° (both are in a straight line making an angle)

(C) Transitive properties help establish a connection by stating that if a = b and b = c, then a = c.

m∠a + m∠b + m∠c = 180°

m∠d + m∠c = 180°

Therefore, this property

We can say,

m∠a + m∠b + m∠c = m∠d + m∠c    

(D) Subtraction equality properties: Subtraction equality properties indicate that subtracting or removing an equal value from two equal elements results in a new equal quantity.

The formula for this is if a = b, then a-c = b-c

In the question,

m∠a + m∠b = m∠d

Both ∠a and ∠b are two interior angles and the exterior angle is ∠d.

According to the exterior angle property of a triangle theorem, the sum of two opposite interior angles is equal to exterior angles.

Hence, this is also correct.

Therefore, the correct option is (c) which has the correct steps and reasons for the given question.

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Social Security tax: 6.2%. Maximum: $106,800. Medicare tax: 1.45%
In 2009, Dr. Kirmser's gross pay was $381,318.60.
What was her monthly gross pay?

Answers

Dr. Kirmser's monthly gross pay = $ 29345.65

Social Security tax:

Employers and workers are both subject to the Social Security tax, which is used to pay for the country's Social Security program. Federal Insurance Contributions Act (FICA)-mandated payroll taxes or Self-Employed Contributions Act-mandated self-employment taxes are the two ways that Social Security tax is collected (SECA).

Here we have

In 2009, Dr. Kirmser's gross pay was $381,318.60.

Social Security tax = 6.2%     [ Maximum: $106,800 ]  

=> 6.2% = 6.2/100 = 0.062  

Medicare tax = 1.45%  

=> 1.45% = 1.45/100 = 0.0145  

From the above information,

Total tax on salary =0.062 + 0.0145 = 0.0765

In 2009, Dr. Kirmser's gross pay was $381,318.60.

Tax can be calculated on Gross pay = 0.0765 × $381,318.60

= 29170.827  

As we know

Net pay = gross salary - deductions

=> Monthly gross pay = $381,318.60 - $29170.827 = $ 352147.773

Therefore,

Dr. Kirmser's monthly gross pay = 352147.773 ÷ 12 = $ 29345.65

Hence,

Dr. Kirmser's monthly gross pay = $ 29345.65

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if you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the . a. normal probability density function b. binomial probability function c. poisson probability function d. standard normal probability density function

Answers

When conducting an experiment with the probability of a success of 0.02 and you are interested in the probability of 2 successes in 15 trials, the correct probability function to use is the binomial probability function. (Option B)

Binomial probability function, in probability theory and statistics, refers to the discrete probability distribution of the number of successes in a sequence of repeated independent experiments. Generally, the binomial distribution represents data generated from a yes–no question, and each with its own Boolean-valued outcome: success or failure.  As the experiment where probability of success is given and you are interested in the probability of 2 successes in 15 trials, the appropriate probability function is binomial probability function.

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Find the equation for the line of best fit for the scatter plot shown below.
Answer Choices:
y=1.5x+0.5
y=1.5x+4.5
y=1.5x+5

Answers

The equation for the line of best fit of the scatter plot according to the attached image is; y = 1.5x + 0.5.

What is the equation of the line of best fit of the scatter plot given?

It follows from the task content that the equation of the line of best fit of the scatter plot is to be determined.

By observation, it can be inferred that the y-intercept of the line of best fit is at the point; (0, 0.5).

Also, the slope of the equation can be determined by considering the points; ( 2 , 1 ) and ( 9 , 12 ).

Therefore, since the slope is given by; m = (y2 - y1) / (x2 - x1).

In this scenario, slope, m = (12 - 1) / (9 - 2)

m = 11/7.

Hence, the slope is approximately; 1.5.

Ultimately, the equation of the line of best fit is; y = 1.5x + 0.5.

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Yesterday, Grace drove 41 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

33.2 miles per gallon is the unit rate for miles per gallon.

Given, Grace drove 41 1/2 miles.

She used 1 1/4 gallons of gasoline.

So, Grace drove 41 1/2 miles = Grace used 1 1/4 gallons of gasoline

41(1/2) miles = 1(1/4) gallons of gasoline

83/2 miles = 5/4 gallons of gasoline

as, 5/4 gallons of gasoline = 83/2 miles

1 gallon of gasoline = (4/5)×(83/2)

1 gallon of gasoline = (2/5)×83

1 gallon of gasoline = 166/5

1 gallon of gasoline = 33.2 miles

33.2 miles/gallon is the unit rate.

Hence, 33.2 miles per gallon is the unit rate for miles per gallon.

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a plumber charges $12.00 per hour for her work, plus a $32.00 materials fee. If you pay her $74.00, how many hours did the plumber work?

Answers

Answer:

3.5 hours

Step-by-step explanation:

74-32=42

42/12=3.5

The dimensions of a room are 4.2 m by 6 m. On a plan, the longer side is equal to 4cm. What is the length of the shorter side on this plan?

Answers

The length of the shorter side on this plan is 2.8cm.

How to calculate the length?

Based on the information illustrated, let the length of the shorter side on this plan be represented by x.

In this case, the dimensions of a room are 4.2 m by 6 m and on a plan, the longer side is equal to 4cm.

This will be illustrated as:

x/4 = 4.2 / 6

Cross multiply

6x = 4 × 4.2

x = (4 × 4.2) / 6

x = 2.8cm

The length is 2.8 cm.

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(Real-World Proportional Problems MC)

The time it takes to read 5 pages of a book can be represented with the equation y equals 4.5 divided by 5 times x, where y represents the total time in minutes and x represents the number of pages read.

Determine how long it will take to read a book that has 218 pages.

242.22 minutes
218.63 minutes
196.2 minutes
54.5 minutes

Answers

Answer:

C. 196.2 minutes

===========================

Equation

y = (4.5 / 5) x

Given

x = 218

Find y

y = (4.5/5)*218 y = 0.9*218y = 196.2

Correct choice is C

Answer:

c) 196.2 minutes

Step-by-step explanation:

Forming the equation,

→ y = (4.5/5) × 218

Now required value of y will be,

→ y = (4.5/5) × 218

→ y = 981/5

→ [ y = 196.2 min ]

Hence, the value of y is 196.2.


Johnson had 22,000 shares in a blue chip company before a stock split of 2:1. How many shares does Johnson have after the stock split?

Answers

Answer:

44,000 shares in a blue-chip company

Step-by-step explanation:

So since Johnson had 22,000 shares in a blue-chip company and it split 2:1, we multiple the beginning number of shares by 2 because they split into 2 different shares.

22,000*2=44,000

Calculate P(3, 2)
12
8
7
6

Answers

Answer: the answer is number 6

The table shows the amount of dietary fiber in bananas. Use the table to find the constant of proportionality. Express your answer in decimal form.



Dietary fiber (g) 9.3 18.6 27.9 37.2
Servings 3 6 9 12

Answers

The Constant Of Proportionality Is 3.1

A per the table,

Amount of dietary fiber in 3 servings of banana = 9.3 grams

Amount of dietary fiber in 6 servings of banana = 9.3 grams

Amount of dietary fiber in 9 servings of banana = 9.3 grams

Amount of dietary fiber in 12 servings of banana = 9.3 grams

We need to find

The constant of proportionality.

We know that the constant of proportionality is a constant number that represents the rate at which ratios of a quantity decrease or increase.

Let the constant of proportionality be, k.

So, k = x/y

Where,

x = Quantity

y = Total Number of the quantity.

Ratio 1 = 9.3/3 = 3.1

Similarly,

Ratio 2 = 18.6/6 = 3.1

Ratio 3 = 27.9/9 = 3.1

Ratio 4 = 37.2/12 = 3.1

since all the ratios are equal;

Hence, The Constant Of Proportionality Is 3.1

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At a local high school, gpa's are normally distributed with a mean of 2. 9 and standard deviation of 0. 6. What is the gpa of the highest 2. 5% of the students?.

Answers

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6.

x=4.25 is the GPA highest 2.5% of the students.

We have to find the GPA of the highest 2.5% of the students.

Mean = μ = 2.9

Standard deviation = σ = 0.6

Finding the z value for corresponding area 0.9750

For 95% confidence interval ,

z = 1.96

For 97.5% confidence interval,

We get z = 2.25

From

Z = ( x - μ ) / σ

For 2.5% of the students

To solve for x

x = Z*σ + μ

x = 2.25*0.6 + 2.9

x = 1.35 + 2.9

x = 4.25   GPA of highest 2.5% of students

Hence the answer is, x=4.25 is the GPA highest 2.5% of the students.

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Other Questions
Find the perimeter or circumference and area of each figure if each unit on the graph measures what higher-order function process applies a function to each value in a sequence and returns a new sequence of the results? This excerpt revolves around aO cultural allusion.O historical allusion. literary allusion. religious allusion. Birth Order and Personality 4 Questions(Question 1).According to the birth-order effect, being theyoungest child causes someone to be _______. aa strong leader bwealthier ca natural mediator dmore rebellious-----------------------------------(Question 2).The passage suggests that middle children who solve family disagreements are likely to _______. achoose professions involving mediation bbecome more creative workers ctell people about different kinds of squids dagree with previous research studies---------------------------------------------------------(Question 3).Judith Rich Harris claims that people behave differently in family and non-family settings.What evidence does she give? astatistics about people in different careers bmention of studies that reject the birth-order effect cexamples of siblings interacting dquotes from noted psychologists--------------------------------------------------(Question 4).Harris disagrees with some birth-order studies because she believes ________. athe research studies are unreliable bthe results do not reflect her personality cpeople act differently in front of scientists dyou cannot generalize about personality according to the department of justice, an agreement between competitors to establish or adhere to uniform price discounts is a type of which antitrust violation? nancy bought 50 shares of abc stock for $50 per share. she made additional purchases at the end of each of the following years: year 1: 10 shares at $52 per share year 2: 10 shares at $53 per share year 3: 10 shares at $45 per share abc stock has not paid any dividends during her holding period. at the end of year 4, the stock is trading for $55 per share. which of the following is nancy's return over the past four years on abc stock (assume she sells the stock for the current trading price)? a) 2.95% b) 3.25% c) 5.00% d) 4.65% Meioi I i _____________________ diviion which produce two ______________________. Cytokinei between Meioi I and Meioi II form _______________ cell each with a __________________ number of chromoome. Meioi II i ______________________ diviion which produce _______________ nuclei in _____________________ cell for a total of __________________ nuclei. Cytokinei after Meioi II form _____________________ cell each containing a _____________________ number of chromoome If it is 3 pm at 45E, what is the time at 75E What section of the Game Design Document features a brief two-to-three sentence snapshot of what the game is all about that makes the game sound appealing? A. purpose B. title C. description D. audience in the biopsychosocial model of psychological disorders, ___________ is considered a psychological influence, whereas_________ is an example of a social-cultural influence. Why area of square is a2?. a8=12, a16=22 Write a rule for the nth term of the arithmetic sequence. According to the reading, what might cause customers to come to a restaurant even if its prices are somewhat higher than competitors?. 9(12) as an addition expression You have d dollars to buy fence to enclose a rectangular plot of land. the fence for the top and bottom costs $a per foot and for the sides it costs $b per foot. find the dimensions of the plot with the largest area. for this largest plot, how much money was used for the top and bottom , x, and for the sides, y? In what way is the work of the adirondack land trust different from the other organizations described in the activity?. bryson sciences is planning to purchase a high-powered microscopy machine for $385,000 and incur an additional $31,300 in installation expenses. it is replacing older microscopy equipment that can be sold for $116,500, resulting in taxes from a gain on the sale of $42,600. because of this transaction, current assets will increase by $11,000, and current liabilities will increase by $5,200. calculate the initial cash flow in the high-powered microscopy machine. A rectangular prism with a volume of 4x^3+22x^2+10x cubic units has a base area of x +5x square units. Find the height of the rectangular prism.The height of the prism is_____units You are the cook in your family, you're a great cook, and you take great pride in your cooking. You cook meals all the time, but you have noticed that your significant other only compliments your cooking occasionally. Sometimes your significant other gives you a compliment for each meal that you cook, but sometimes several meals go by without a compliment. You've been keeping track, and you've noticed that on average they praise your cooking for one quarter of the meals, but it seems random. In this example, the compliments are based on. The edgecumbe volcano is showing signs of activity after being dormant for over 800 years. Which state is it in?.