Please help me ASAP pleaseee please

Please Help Me ASAP Pleaseee Please

Answers

Answer 1

It is given that ABCD is a rectangle. We have to give reasonings for the statements.

What is the rectangle?

A rectangle is a four-sided polygon with four right angles. The opposite sides of a rectangle are equal in length (congruent) and the opposite angles are equal in measure (congruent). The opposite sides are parallel to each other. A rectangle can be defined as a special case of parallelogram where all angles are right angles.

Given: ABCD is a rectangle

Prove: triangle ADC is congruent to triangle BCD

1. Given ABCD is a rectangle

2. By definition of rectangle, opposite sides are congruent (AD is congruent to BC)

3. By definition of rectangle, opposite angles are right angles (angle ADC and angle BCD are right angles)

4. By definition of right angle, adjacent angles are congruent (angle ADC is congruent to angle BCD)

5. By reflexive property, an object is congruent to itself (DC is congruent to DC)

6. By SAS Congruence (Side-Angle-Side), if two triangles have two congruent sides and the included angle congruent, the two triangles are congruent. Since AD=BC and angle ADC= angle BCD, and DC=DC, then triangle ADC is congruent to triangle BCD.

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Related Questions

Translate the following statements into equations and solve. Show your solution.

1. Two more than four times a number is -10.

2. One less than thrice a number is equal to 26.

3. Seven added to a certain number is 34.

Answers

Answer: 4x + 2 = -10

3x - 1 = 26

x + 7 = 34

Step-by-step explanation:

You live and work in a country that tells you where to work and sets your wage. The goods you produce go to the government, which then sells them in government-run stores. What type of economy do you live in? A. Specialized B. Command C. Free market D. Mixed

Answers

The given situation represents the (B) command economy.

What is a command economy?

In a planned economy, the production, distribution, and allocation of capital goods all occur in accordance with economic plans that may be economy-wide or specific to a particular class of products and services.

Centralized, decentralized, participative, or Soviet-style economic planning is all possible in a planned economy.

Depending on the precise kind of planning mechanism used, the degree of centralization or decentralization in decision-making and involvement will vary.

Central planning has been utilized in socialist regimes built on the Soviet model, however, some, like the former Socialist Federal Republic of Yugoslavia, have embraced some kind of market socialism.

Therefore, the given situation represents the (B) command economy.

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Several friends each want to buy new basketball shoes that cost $60. To earn money, they do yard work for $9 an hour. The table shows the number of hours each person did yard work for each day. Who earned enough money to buy the basketball shoes? What inequality can you write to represent this situation?

Indicate whether or not each friend earned enough money to buy the basketball shoes.

Answers

Answer:

Step-by-step explanation:

There's no table or image attached to your question, but they would have to work at least 7 hours in order to earn enough money. In 7 hours, they would earn $63.

6) A container ship made a trip to
Madagascar and back. On the trip there it
traveled 16 km/h and on the return trip it
went 10 km/h. How long did the trip there
take if the return trip took eight hours?

Answers

The trip there take if the return trip took eight hours is 5hrs.

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.

What is Rate?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

We are given ;

A container ship made a trip to Madagascar and back

On the trip there it traveled 16 km/h.

the return trip it went 10 km/h.

if the return trip took eight hours;

then,

16x = 10 * 8

16x = 80

x = 80/16

x = 5

Therefore,  he trip there take if the return trip took eight hours is 5hrs.

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many television viewers express doubts about the validity of certain commercials. in an attempt to answer their critics, timex group usa wishes to estimate the true proportion p of all consumers who believe what is shown in timex television commercials. what is the smallest number of consumers that timex can survey to guarantee a margin of error of 0.05 or less at a 99% confidence level?

Answers

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10".

To estimate the true proportion p of consumers who believe what is shown in Timex television commercials, Timex can use a sample proportion formula which is:

p = (number of positive responses) / (sample size)

To guarantee a margin of error of 0.05 or less at a 99% confidence level, Timex can use a sample size calculator. The sample size calculator takes into account the margin of error, confidence level, and the proportion of the population that is expected to be positive.

The sample size can be calculated using the formula :

n = (z^2 * p * (1-p)) / E^2

Where z is the z-score for the desired confidence level (z = 2.576 for 99% confidence level), p is the estimated proportion of the population that is expected to be positive (0.5 if the true proportion is unknown), and E is the desired margin of error (0.05).

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

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Suppose that you first want to eliminate the fraction in the example equation. What would your first step be? is -2 still the solution when you start by eliminating the fraction first?

Answers

The first steps of the elimination of fraction is to take LCM for the denominators.

In math the term fraction is defined as represent the parts of a whole or collection of objects

Here we have know that  first we want to eliminate the fraction in the example equation.

As we all know that the process of eliminating in fraction will follow the following steps, they are listed as follows:

First we have to take the LCM for the fractions and then we have to enter the equations.

Then we have to multiply each equation by a number to get the lowest common multiple for one of the variables.

And then we have to add or subtract the two equations to eliminate that variable .

Then we should substitute that variable into one of the equations and solve for the other variable.

Finally we have to check by substituting your answer into one of the equations,

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Part 1 out of 4 y+4=2(2x + 2) y+4= Show that the equation y +4=2(2x + 2) is linear and that it represents a proportional relationship between x and y. Check 5 X+ 7 8 Next​

Answers

Answer:

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Step-by-step explanation:

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how to determine if a function is even or odd algebraically

Answers

If f(-x) = -f(x), the function is odd. and if f(-x) = f(x), the function is even.

What are functions?

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).

If f(-x) = f(x), the function is even.

If f(-x) = -f(x), the function is odd.

In order to "determine algebraically" whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you'd started with.

If you end up with the exact same function that you started with (that is, if f (− x) = f (x), so all the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x) = − f (x), so all the signs are switched), then the function is odd.

If the result is neither exactly the same nor exactly opposite (that is, nor having all the same terms but with all the signs reversed), then the function is neither even nor odd.

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Help please please please

Answers

No. The slopes of the two lines are not equal, therefore they are not parallel.

What is Parallel lines?

Parallel lines are two lines that are located at an equal distance from one another and never cross.

The distance and direction between them remain constant. In geometry, parallel lines are used to find solutions to problems involving angles and shape distances.

The angles created between two lines are equal when they are parallel. As a result, the angles formed when two parallel lines cross another line at their places of intersection are equal.

The Parallel Lines Theorem is what this is. Problems relating the angles and separations of forms can be resolved using this theorem.

Along with these shapes, parallel lines are also employed to create circles and ellipses as well as squares, rectangles, and trapezoids.

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suppose a survey of women in the united states found that more than ​% are the primary investor in their household. which part of the survey represents the descriptive branch of​ statistics? make an inference based on the results of the survey.
A. 549 women were surveyed B. There is an association between U.S. women and being the primary investor in their household C. There is an association between the 549 women and being the primary investor in their household. D. 62% of women in the sample are the primary investor in their household.

Answers

D. 62% of women in the sample are the primary investor in their household.Inference: Women in the United States are likely to be the primary investors in their households.

The answer to this question is D. 62% of women in the sample are the primary investor in their household. This is an example of the descriptive branch of statistics because it summarizes the data collected in the survey. The inference based on the results of the survey is that women in the United States are likely to be the primary investors in their households.

62% of women in the sample are the primary investor in their household.

Inference: Women in the United States are likely to be the primary investors in their households.

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Draw a tape diagram that represents 5÷2/3

Answers

The numerical answer is 5

How to draw a tape diagram that represents 5÷2/3?

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5

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help is (2,-3) a solution to any of these equations

x+3y=-7 -x+y=-5 2x-y=1

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

You can check by substituting x = 2 and y = -3 in these equations. If both sides appear to have same values then (2,-3) is a solution to that equation. If both sides appear to have different values then (2, -3) is not a solution to that equation.

[tex]\displaystyle{x+3y=-7}\\\\\displaystyle{2+3(-3)=-7}\\\\\displaystyle{2-9=-7}\\\\\displaystyle{-7=-7}[/tex]

Hence, (2, -3) is a solution to x + 3y = -7

[tex]\displaystyle{-x+y=-5}\\\\\displaystyle{-2-3=-5}\\\\\displaystyle{-5=-5}[/tex]

Hence, (2, -3) is a solution to -x + y = -5

[tex]\displaystyle{2x-y=1}\\\\\displaystyle{2(2)-(-3)=1}\\\\\displaystyle{4+3=1}\\\\\displaystyle{7=1}[/tex]

Hence, (2, -3) is not a solution to 2x - y = 1

POINTS GIVEN!!! ASAP Alang was out at a restaurant for dinner when the bill came. His dinner came to $18. He wanted to leave a 10% tip. How much was his meal plus the tip, before tax, in dollars and cents? ASAP

Answers

Answer: $19.80

Step-by-step explanation:

Step 1:

Multiply to get tip:

18*0.1=1.8

Step 2:

Add:

18+1.8=19.8

Add the zero in the hundredths digit place since there are always two-digit places after the decimal point when dealing with money.

Solve the quadratic inequality in terms of x 3x^2-8x+15>10x

Answers

The solution of the inequality in terms of x is x > 3 or x < 5/3.

What is quadratic inequality?

A quadratic inequality is simply a type of equation that does not have an equal sign and includes the highest degree of two. The wavy curve method is a method used to solve quadratic inequalities. Solving quadratic inequalities is the same as solving quadratic equations.

To solve the quadratic inequality 3x^2 - 8x + 15 > 10x, we first need to move all the terms to one side of the inequality sign to create a standard form of quadratic inequality.

3x^2 - 8x + 15 > 10x

3x^2 - 18x + 15 > 0

Now we can factor the left side of the inequality as (3x-5)(x-3) > 0

To solve the inequality, we need to find the values of x that make the expression (3x-5)(x-3) > 0 true. We can do this by setting each factor to zero and solving for x:

3x - 5 = 0, x = 5/3

x - 3 = 0, x = 3

Now we need to test these values of x in the original inequality to see if they make it true or false, and also we need to test values of x between and around these roots.

For x = 5/3, we have 3(5/3)^2 - 8(5/3) + 15 > 10(5/3)

Which is true.

For x = 3, we have 3(3)^2 - 8(3) + 15 > 10(3)

Which is also true.

So, we can conclude that the solution of the inequality is x > 3 or x < 5/3.

Therefore, the solution of the inequality in terms of x is x > 3 or x < 5/3.

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purple
black
green
5-110
The spinner shown to the left is spun twice. Make a
table and calculate the probability of each of the
following outcomes. Write your answers as simplified
fractions.
Probability Table: NEED HELP WITH THE PROBABILITY TABLE


P(getting green twice)

Answers

Step-by-step explanation:

give me a brainlist please

There are two blue marbles, 10 orange marbles, and 4 white marbles in a bag. What is the probability of picking a blue or white marble?

Answers

Answer: Blue: 12.5%

              White: 25%

              Orange: 62.5%

              Blue or White: 37.5%

Step-by-step explanation:

Step 1: Add all the Marbles together: 2 blue + 10 Orange + 4 White = 16     Marbles

Step 2: Add Blue and White marbles together: 2 blue + 4 White = 6 Marbles

Step 3: Divide Blue and White Marbles with total Marbles: 6/16 = 0.375

Step 4: Convert to Percentage: 0.375 x 100 = 37.5%

Write the equation of the line that passes through the points ( − 3 , − 7 ) and ( 9 , 1 ). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

so, you’re going to need to do the y2-y1 and x1 - x2 formula.

1 - -7 = 8
9 - -3 = 12

(Simple)......Classify the transformation pls

Answers

The classification of the transformation is c. translation.

What is transformation?

Transformation is a process by which the orientation or dimension of a given object is changed so as to produce expected image. Some types of transformation are: translation, dilation, rotation and reflection.

i. Translation: This process implies shifting a given object a number of units in a particular direction.

ii. Dilation: This requires resizing a given object.

iii. Rotation: When a given object is turned about a reference point at a certain angle, then the process is called rotation.

iv. Reflection: This requires turning an object over a line or point to produce the desired image.

Considering the shapes given in the question, it can be deduced that the transformation to classify the process is translation.

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An architect's model for a building is 1. 4 m long and 0. 8 m wide. The

actual building is 240 m wide. What is the length of the building?

Answer:

Answers

Based on the dimensions of architecture's model and width of the building, the length of actual building is 420 meters.

The question is based on scale concept. Here the ratio of length to width will be same between the actual building and architect's model. Using this information to find the length of the building. Let us assume the length of actual building be x.

The ratio will be -

length:width (architect's model) = length:width (actual building)

1.4 : 0.8 = x : 240

Representing it as fraction

1.4/0.8 = x/240

x = 1.4 × 240/ 0.8

Performing multiplication in numerator

x = 336/0.8

Performing division

x = 420 meters

Thus, the length of the building is 420 meters.

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Let A1, A2, A3, and A4, be events from a common sample space. these events are pairwise mitially exclusive, with the exception tha A1 and A2 occur simultaneously with a probability of 0.1. if events A1, A2, and A3 each occur with probability 0.3, what is the largest possible value for the probability of A4?

this is my work:
P(A1) = P(A2) = P(A3) = 0.3
sum of the probabilities of all events must be equal to 1, so we have:
P(A1) + P(A2) + P(A3) + P(A4) = 1
the probability of both A1 and A2 is 0.1
P(A1 and A2) = 0.1
the probability of the intersection of two events is given by P(AnB) = P(A) + P(B) - P(AuB)
So, we can write:
P(A1) + P(A2) - P(A1 and A2) = 0.3 + 0.3 - 0.1 = 0.5
we have:
P(A1) + P(A2) + P(A3) + P(A4) = 1
0.3 + 0.3 + 0.3 + P(A4) = 1
P(A4) = 1 - 0.9 = 0.1

Answers

The largest possible value for the probability of A4 is 0.3.

If events A1, A2, A3, and A4 are pairwise mutually exclusive with the exception that A1 and A2 occur simultaneously, then the probability of A1 and A2 occurring together is 0.1. This means that the probability of A1 occurring separately is 0.3 - 0.1 = 0.2, and the same is true for A2.

Since A1, A2, A3, and A4 are pairwise mutually exclusive, the probability that they all occur together is 0. Therefore, the sum of their individual probabilities is also 0. Therefore, the probability of A4 is the remaining probability after accounting for the probability of A1, A2, and A3. The largest possible value for the probability of A4 is the total probability minus the probability of A1, A2, and A3.

So, the largest possible value for the probability of A4 would be:

1 - (0.2 + 0.2 + 0.3) = 1 - 0.7 = 0.3

Therefore, the largest possible value for the probability of A4 is 0.3.

HS
Population
1200
1450
900
1500
1400
1005
# of active band members
150
155
100
125
125
120
What is the correlation coefficient? Interpret what this means for the context of this
data.

Answers

Answer:

I'm trying to figure that out to

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 12 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

Answers

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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What’s the missing angles??

Answers

Try multiplying the 91 and 65 then that's an answer for one. Then try dividing them for another angle.

mj supply distubutes bags of dog food to pet stores its markup rate is 28% which eqaution represents the new price of a bag of dog food y given an orignal price x?

Answers

Answer:

Step-by-step explanation:

You didn't post any answer choices, but the answer should be:

y = x + (0.28)x = 1.28x

Write the word sentence as an inequality.

A number y minus

is no more than

N100

The inequality is

Answers

A number y is no more than -8. So the expression as inequality is y ≤ -8.

We have to write the word sentence as an inequality.

A number y is no more than -8.

A relationship between two values in an algebraic statement that are not equal is shown by an inequality. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The statement is saying that y is no more than means y is less that or equal to -8.

So we can write the expression as

y ≤ -8

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The complete question is:

Write the word sentence as an inequality. A number y is no more than -8.

Simplify. 4 square root 6+ 2 square root 6- square root 6

Answers

Answer:

[tex]5 \sqrt{6} [/tex]

Step-by-step explanation:

ignore the square roots and do 4+2-1

Courtney has $12 to spend at the concession stand. She

wants to buy a combination of air heads, x, and popcorn, y.

An air head costs $. 25 and popcorn costs $2. Which

inequality represents this situation?

Answers

The inequality representing Courtney's situation to buy air heads and popcorn is 0.25x + 2y ≤ 12.

Based on the situation of Courtney, we can conclude that she must get the combination in such quantity of each that it's total is less than or equal to 12. Creating the expression according to this statement.

Number of air heads × cost of one air head + number of popcorn × cost of one popcorn ≤ 12

Keep the values in formula to find the inequality

x×0.25 + y×2 ≤ 12

Performing multiplication between the constant and variable

0.25x + 2y ≤ 12

Thus, inequality representing this situation is 0.25x + 2y ≤ 12.

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Determine algebraically whether the given function is even, odd, or neither. f(x) = -9x3 O Even O Odd O Neither

Answers

The function f(x) = -9x^3 is odd because it is not at the initial state after replacing x by -x.

By taking a function, replacing each x with an equal value, simplifying it, and then comparing the outcomes to what you had initially, you can "determine algebraically" whether it is even, odd, or neither.

If the function is identical to what you started with that is, if f(-x) = f (x), with all the signs remaining the same then the function is even. If the function is exactly the opposite of what you started with (i.e., if f(-x) = -f(x), with all the signs switched this is known as an odd function.

The function is f(x) = -9x^3

Now substitute -x in place of x.

f(-x) = -9(-x)^3

f(-x) = -9 × -(x)^3

f(-x) = 9x^3

As we can see that the function is not in the initial position so the function is odd.

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(Three-Column Tables MC)
Brainly to whoever answers me correctly.

The table shows the parts of gelatin and water used to make a dessert.

Boxes of Gelatin Powder (oz) Water (cups)
3 9 6
9


At this rate, how much gelatin and water will Jeff use to make 9 boxes?

Jeff will use 18 oz of powder and 27 cups of water to make 9 boxes of gelatin.
Jeff will use 27 oz of powder and 18 cups of water to make 9 boxes of gelatin.
Jeff will use 15 oz of powder and 12 cups of water to make 9 boxes of gelatin.
Jeff will use 32 oz of powder and 27 cups of water to make 9 boxes of gelatin.

Answers

The amount of gelatin and water that Jeff use to make 9 boxes are 27 oz of powder and 18 cups of water respectively.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

We have

Amount of gelatin used for 3 boxes = 9 oz

Amount of gelatin for 1 box = 3 oz

Amount of water for 3 boxes = 6 cups

Amount of water for 1 box = 2 cups

We have to calculate the amount of gelatin and water for 9 boxes.

Amount of gelatin for 9 boxes = 3 × 9 = 27 oz

Amount of water for 9 boxes = 2 × 9 = 18 cups

Hence Jeff will use  27 oz of powder and 18 cups of water to make 9 boxes of gelatin.

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if the variance of a normal population is 5, what is the probability that the variance of a random sample of size 15 exceeds 9.329 (round off to third decimal place)?

Answers

If the variance of a normal population is 5,  the probability that the variance of a random sample of size 15 exceeds 9.329  is 0.069.The variance of a sample from a normal population has a chi-squared distribution, which is the sum of the squares of the standard normal distribution.

The probability can be calculated by finding the area to the right of the chi-squared value of 9.329 on the chi-squared distribution. This area can be found by using the chi-squared cumulative distribution function, which is the integrated form of the chi-squared probability density function.

To find the probability, the chi-squared cumulative distribution function is used to calculate the area to the right of the chi-squared value of 9.329. This will give us the probability of the variance of the sample exceeding 9.329, which is 0.069.

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Other Questions
background: in a growing plant root, the cells at the tip of the root are constantly dividing to allow the root to grow. because each cell divides independently of the others, a root tip contains cells at different stages of the cell cycle. this makes a root tip an excellent tissue to study the stages of cell division 3. AABC is equilateral. Use what you know about an equilateral triangle to write and solve an equation for x. What is the perimeter of AABC? 4x-3 B A 2x + 11 C On 1/1/2019, Colin and Associates purchased five apartments to rent out to tenants and earn rental income. The details regarding the assets are given as under:Apartment/Acquisition Cost/Useful Life1 100,000 102 120,000 83 95,000 54 33,000 55 30,000 3Given that the firm decides to value the apartments at their fair values, calculate the depreciation to be charged on the statement of income on 12/31/2019. The fair values all apartments went up by 8%, except for the 4th apartment whose fair value decreased by 9.25%.A $0B $64,310C $3,053D $60,600 Michael wants to place grass on the side of his lap pool find the area of the Shaded region that he wants to cover with grass Businesses often maintain records about vendors' pricing, delivery terms, and credit policies and use the information in the records to answer choicesfollow safe shipping proceduresnegotiate higher discountsmonitor inventory levelsaward purchasing contracts a study was conducted to help determine which of the top two political parties the general population would prefer to vote for in the up-coming election. in determining whom to include in the sample, two stages were involved. at the first stage, a random sample of 50 individuals was selected from each of the 20 regions in the country and then pooled into a combined sample of 1,000. at the second stage, these 1,000 individuals were divided into 5 income-level groups, and a random sample of 50 from each group was selected. Select all of the statements regarding the sampling design in the above scenario that are true:The study does not involve a voluntary response.The first stage creates a stratified random sample.The whole study creates a multistage random sample.The second stage involves simple random sampling only. a resting neuron is an unstimulated neuron that is not presently generating an action potential. the resting membrane potential is the separation of the relative positive and negative charges across the membrane of a cell at rest. This funnel is in the shape of a cone. Determine the volume of the following cone.The height of the cone is 20 cm and the R is 5 cm part a - comparing chromosome separation in bacteria and eukaryotes in all cells, separation of replicated chromosomes is a prerequisite for cell division. however, the mechanism of chromosome separation in bacteria is distinct from that in eukaryotes in several ways. sort the following statements into the appropriate bin. If FG = 2x, GH = x + 4, and FH = 10, what is FG? What are the key Enlightenment ideas that influenced the development of our government institutions and explain their influence? Read the excerpts below from The Devils Arithmetic and Refugee. Then, write about a similarity or difference between Jane Yolens and Alan Gratzs perspectives. Explain your answer in a paragraph using details from the texts. 2. Differentiating instruction means changing the pace, level, or kind of instruction youprovide in response to individual student's needs, style, or interest. Briefly explain how ateacher can differentiate the following aspect of his or her teaching in the classroom.A. ContentB. ProcessC. Product C Question 2 (SO3, AC1, AC2, AC3, AC4) Harry intends to complete a BSc degree. He has to take either Mathematics A or Physics A in his first year. If he takes Mathematics A, he can take chemistry A or Mathematics B in His second year. If he takes Physics A, he has to take Mathematics A in his second year. When Harry has to make a choice between two subjects both are likely to be chosen 1. Draw a decision tree to illustrate the above situation. 2. What is the probability that he will take Mathematics A during the two years? 3. What is the probability that he will take Mathematics A and B during the two years? [6 [2 (2 Find the 45th term of the arithmetic sequence an = 2 + 4(n 1).Group of answer choices182178145264 The heights, in feet, of the trees for sale at two nurseries are shown below.Yard Works: 7, 9, 7, 12, 5The Grow Station: 9, 11, 6, 12, 7Which statements are true regarding the measures of center and variability of these data sets? Select three choices.A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.B. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.D. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station. superficial equity is failing to take time to build Which is the approximate measure of angle yzx? 34.8 39.4 50.6 55.2 Which key constitutional principle is described in Document 3?O EqualityO Rights of the peopleO Checks and BalancesO Sovereignty TRUE/FALSE. to advance the progress completion percentage in a smartbook assignment, only one question per concept must be answered correctly.