How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters

Answers

Answer 1

I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.

Sampling

Sampling means selecting the group that you will actually collect data from in your research.

zoning

Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.

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Related Questions

Construction A construction company is building a new parking garage and is

charging the following rates: $5000 a month for the first 2 months; $8000 a month

for the next 4 months; $6000 in total for the last 4 months, when the garage will be

completed. This amount will be paid in a lump sum at the end of the 6th month.

Express the cost C (in thousands of dollars) as a function of

the time t (in months) that the construction company works

on the parking garage.

Answers

Answer:

C(t) = 5t for 0 < t ≤ 3

C(t) = (8t-9) for 3 < t ≤ 6

C(t) = 44 for 6 < t ≤ 10

C is given in thousands of dollars and t is given in months.

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Step-by-step explanation:

We will do a piecewise analysis for this cost function.

How to obtain the total cost changes with each time interval.

In the first 3 months,

C(t) = 5t for 0 < t ≤ 3

Note that C is given in thousands of dollars

In the next 3 months,

C(t) = (8t-9) for 3 < t ≤ 6

- Here, it gets a little complex, we use the upper limit of the previous interval and the lower limit of this new interval to get the constant to be subtracted from the normal 8t that characterizes this interval.

8(3) = 24

5(3) = 15

constant = 24 - 15 = 9

In the last 4 months,

C(t) = 44 for 6 < t ≤ 10

- For the last four months, it is a single sum of $5000 plus the [8(6) - 9] from the previous inteval

C = [8(6) - 9] + 5 = 39 + 5 = 44

So, the cost of parking, tracked month after month gives

T | Cost (in thousands of dollars)

1 | 5

2 | 10

3 | 15

4 | 23

5 | 31

6 | 39

7 | 44

8 | 44

9 | 44

10 | 44

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Hope this Helps!!!

This is not my answer yet is a stollen verrified one.

Why is halting problem undecidable?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be  the halting problem is undecidable for Turing machines.

Tractable problem: what is it?

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

Alan Turing proved in 1936 that a general algorithm running on a Turing

machine that solves the halting problem for all possible program-input

pairs necessarily cannot exist.

the halting problem is undecidable for Turing machines.

Therefore , the solution of the given problem of probability comes out to be  the halting problem is undecidable for Turing machines.

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How many 2/3s are in 2?

Answers

On solving the provided question we can say that - in fractions 2/3 and 2 we can do 2/3X2 = 4/3

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

in the given fractions 2/3 and 2/1,

we can do that -

2/3 X 2/1 = 4/3

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What is the revolution of the Earth and Moon?

Answers

The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes time of 365.24 days, and the Moon's revolution takes 27.32 days.

The revolution of the Earth and Moon is the path of the two celestial bodies around the Sun. The Earth takes 365.24 days to complete one revolution, which is also known as one year. The Moon, on the other hand, takes 27.32 days to complete one revolution, which is also known as one lunar month.

The revolution of the Earth and Moon refers to their orbits around the Sun, with the Earth taking 365.24 days and the Moon taking 27.32 days to complete one revolution.The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes 365.24 days, and the Moon's revolution takes time of  27.32 days.

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Seventh grade

>

R. 4 Evaluate linear expressions UG6

Evaluate the expression for c = 2.

40 - 7 =

Submit

Answers

The answer to linear expression is 233.

A linear expression is defined as an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to Simplify linear expressions in the process of writing linear expressions in their way and simplest forms such that the value of the original expression is maintained.

There are a few steps to follow when we want to simplify expressions

The first step is to eliminate the brackets by multiplying the factors if there are any.Add and subtract the like terms.

Given equation is C= 240-7

C= 240-7=233

The answer to the given expression is 233.

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If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?

Answers

Answer:

20%

$18.84

Step-by-step explanation:

3.14 is what percent of 15.70?

Use the percent-to-dollar conversion (100: 15.70) :

3.14 * 100% / 15.70 =

3.14 / 15.70 * 100% =

1/5 * 100% =

100% / 5 = 20% ==> percent tip

$15.70 + $3.14 = $18.84  ==> Total cost

Marcus is shopping for pants. The available styles are boot cut (B), skinny (S), and relaxed fit (R). Make an organized list to show all possible outcomes if he buts two new pair of pants.

Answers

There are 9 possible outcomes  to buy two new pair of pants.

What is combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

Given:

we have the following Styles

Boot cut (B), Skinny (S), and Relaxed fit (R).

So, if her buys two paints then the possible combination he can take as

Boot cut x Boot cut

Skinny x Skinny

Relaxed fit x Relaxed fit

Boot cut x Skinny

Boot cut  x Relaxed fit

Skinny x Relaxed fit

Skinny x Boot cut

Relaxed fit x Boot cut

Relaxed fit x Skinny

Hence, there are 9 possible ways.

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Which of the following 3 lengths can be combined to form a right triangle?

A. a = 1, b = 2, c = 3
B. a = 7, b = 12, c = 13
C. a = 9, b = 20, c = 21
D. a = 8, b = 15, c = 17

Answers

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem formula is given as

H² = P² + B²

If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.

Let's check option D, then we have

17² = 8² + 15²

289 = 64 + 225

289 = 289

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

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The radii of two concentric circles are in the ratio 3:5. If the length of the chord of the larger circle that is tangent to the smaller circle is 40 cm, complete the following statements:

Answers

The length of the chord of the larger circle can be found by taking the square root  [tex](5r)^2 - (2r)^2[/tex] which is equal to r√21, where r is the radius of the smaller circle.

The given problem states that there are two concentric circles with radii in the ratio of 3:5. This means that the radius of the smaller circle is 3r and the radius of the larger circle is 5r. The distance between the center of these two circles is 2r.

Also, it is given that the length of the chord of the larger circle that is tangent to the smaller circle is 40 cm. Using this information, we can find the length of the chord of the larger circle by using the Pythagorean theorem.

The length of the chord of the larger circle is found by taking the square root of [tex](the radius of the larger circle)^2[/tex] - [tex](the distance between the two centers)^2[/tex] which is √21[tex]r^2[/tex]= r√21.

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The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.


What are the slope and y-intercept of the line that models this situation? I

Answers

The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212

The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.

To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.

Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0

Hence we get the y-intercept as 212° F.

Now, the formula for slope

= change in y/ change in x

here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.

Taking the first 2 rows gives us

Slope = -0.9/500

= -0.0018

Hence we choose option A) Slope = -0.0018, y-intercept = 212

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Complete Question

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?

A. Slope= -0.0018, y-intercept = 212

B. Slope= 0.0018, y-intercept =-212

C. Slope =212, y- intercept= 0.0018

D. Slope=-212, y-intercept = 0.0018

What kind of triangle has sides 4 4 8?

Answers

Answer:

No triangle

Step-by-step explanation:

Since [tex]4+4=8[/tex], the side lengths fail to satisfy the triangle inequality theorem. Thus, no such triangle exists.

What is the coefficient in this expression?
12 - x + 3

Answers

The coefficient is -1

The scatterplot below shows the grade 10 students earned on a test and the amount of time each student studied for the test

Which describes the relationship between the number of hours studied and the students grade on the test?

Answer choices
A There is a weak positive relationship between the variables.
B There is a strong negative relationship between the variables.
CThere is a weak negative relationship between the variables.
D There is a strong positive relationship between the variables.
Answer fast please

Answers

In the graph, there is a strong positive relationship between the variables. Option D

What is the correlation?

We know that the term correlation has to do with how two or more variables are related. The way that the variables are related can be seen from the graph that is shown.

There is a strong positive correlation if we notice that the straight-line of the graph is moving in the positive direction. As we can see from the graph that we have, there is a positive correlation among the variables.

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Z is a standard normal random variable. The P(Z > 2.11) equals
0.4821
0.9821
0.5000
0.0174

Answers

The correct answer should be 0.0174

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2

Answers

On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735

what is mean absolute deviation?

The average of the absolute deviations from the center point within a dataset is called the mean absolute deviation. This statistic summarizes the statistical spread or variability. Each data point's average distance from the mean is known as the dataset's mean absolute deviation. This gives a sense of the dataset's variability. To determine the absolute value, take the mean from each integer in the dataset and then subtraction. Take the total of the absolute values next. Subtract the aforementioned sum from the total number of items in the dataset to obtain the mean absolute deviation.

12,12,12,22,23,32,43

Mean Absolute Deviation (MAD): 8.8979591836735

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Answer:

On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735

Step-by-step explanation:

4. Clare is paid $90 for 5 hours of work. At this rate, how many seconds does it take care to earn 25 cents?
5. A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
6. Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend.

Answers

The first answer is 50 seconds.
And If you see this please help me answer this question!

How do you write numbers more than 100?

Answers

The numerical figures are used to write numbers more than 100.

What is numbers?

An arithmetic value known as a number is used to represent a quantity and perform calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

To represent numbers greater than 100, use numeral figures; however, whole numbers, such as 300 or 1,000, should be written out.

When representing non-whole numbers like 1,239 or 603, use numerals.

Except for whole numbers combined with hundred, thousand, hundred thousand, million, billion, and beyond, the Chicago Manual of Style advises spelling out numbers from zero to one hundred and using figures after that (e.g., two hundred; twenty-eight thousand; three hundred thousand; one million).

Hence, the numerical figures are used to write numbers more than 100.

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A family buy a new minivan for $45,000 and makes a down payment of $12,000. The monthly payment factor is 0.202764. Calculate the monthly payment

Answers

The family's monthly payment for their new minivan is $6,664.52

How to calculate the monthly payment?

To calculate the monthly payment, we first need to find the total amount that the family is financing by subtracting the down payment from the total cost of the minivan: $45,000 - $12,000 = $33,000.

Then, we can use the monthly payment factor to calculate the monthly payment. The formula to do this is:

Monthly Payment = Financed Amount * Monthly Payment Factor

So in this case:

Monthly Payment = $33,000 * 0.202764 = $6,664.52

Therefore, the family's monthly payment for their new minivan is $6,664.52

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The third pistachio Farm Top Choice Ponce intends to set up shop next weekend at the farmers market in order to immediately win over all the customers who shopped there talk to a sponge promises are pistachios will cause 20% less when the next cheapest Farm it will cost talk to his Farms $125 to rent a booth at the farmers market in Top Choice Farm sell out of their food 3520 ounces of pistachios at their promise low low price how much profit will they make after paying for Farmers Market booth​ ?

Answers

If it cost them $125 to rent a booth at the farmers market, then their profit will be $2816 - $125 = $2691.

Top Choice Ponce farm wants to set up a booth at a farmers market next weekend, they promise to sell their pistachios at 20% cheaper than the next cheapest farm. They plan to sell 3520 ounces of pistachios at $0.8 per ounce.

The booth rent cost them $125. To calculate the profit, they will subtract the booth cost from the total revenue of pistachios which is $2816. Therefore, their profit will be $2691. They will make this profit after paying for the Farmers Market booth.

If Top Choice Farm's pistachios are 20% cheaper than the next cheapest farm, and the next cheapest farm's pistachios cost $1 per ounce, then Top Choice Farm's pistachios will cost $1 - $1 × 20% = $0.80 per ounce.

If they sell 3520 ounces of pistachios at $0.80 per ounce, then their total revenue from pistachios will be 3520 × 0.8 = $2816

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Simplifying algebraic expression

Answers

Answer:

-33

Step-by-step explanation:

Given algebraic expression:

[tex]5c-9c+3[/tex]

To simplify the given algebraic expression using c = 9, substitute the given value of "c" into the expression and solve:

[tex]\implies 5(9)-9(9)+3[/tex]

[tex]\implies 45-81+3[/tex]

[tex]\implies -36+3[/tex]

[tex]\implies -33[/tex]

Answer:

[tex] \sf \: 5c - 9c + 3 = - 33[/tex]

Step-by-step explanation:

Given information,

→ 5c - 9c + 3

→ where c = 9

Let's simplify the expression,

→ 5c - 9c + 3

→ 5(9) - 9(9) + 3

→ (5 × 9) - (9 × 9) + 3

→ 45 - 81 + 3

→ 45 - 78

→ -33 => final value

Hence, the final value is -33.

Find the interet and total amount due on 1200 after 1 year 5 month at a rate

of interet of 4% p. A

Answers

Total interest earned = 68

Total amount collected = 1268

What is simple Interest ?

Simple interest is a way to figure out how much interest will be paid on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the following year's principal to compute interest, the principal amount under simple interest remains constant.

Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the initial principle amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of several forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.

Since nothiong mentioned the interest is considered simple

Total amount = 1200 (principal)

Time = 1 year 5 month = [tex]1\frac{5}{12} = \frac{17}{12}[/tex]

rate = 4 %

Total interest earned = [tex]\frac{1200 * 4 * \frac{17}{12} }{100}[/tex] = 68

Total amount generated = 1200 + 68 = 1268.

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A temperature C, in degrees Celsius, is the same as a temperature of
9
5
C+32, in degrees Fahrenheit. The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
What is that temperature in degrees Fahrenheit?
Write your answer as a whole number or decimal.

Answers

The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A temperature C, in degrees Celsius, is the same as a temperature of (9/5)C + 32, in degrees Fahrenheit.

The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.

Convert the temperature from Celcius to Fahrenheit. Then we have

⇒ (9/5)C + 32

⇒ (9/5) x 40 + 32

⇒ 9 x 8 + 32

⇒ 72 + 32

⇒ 104 F

The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.

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How do you find the X and y-intercept of a function?

Answers

To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.

The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).

Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.

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fFind the length of the arc on a circle with radius of 27 meters and intercepted by a central angle of 120 degrees

Answers

The length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.

We know that the length of the arc of a circle = Radius of the circle × angle subtended by the arc (in radians)

Here radius of the circle is 27 m

The angle subtended is 120°

Hence we will first convert the angle into radians

Angle in radians = Angle in degree X π/180

= 120 X π/180

= 2π/3

Therefore, the length of the arc = 27 X 2π/3

= 18π m

Therefore, the length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.

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Suppose x is 5 and y is 7. Choose the value of the following expression: (x != 7) && (x <= y) a. false b. true c. 0 d. null Suppose that x is an int variable. Which of the following expressions always evaluates to true? a. (x > 0) || ( x <= 0) c. (x > 0) && ( x <= 0) b. (x >= 0) 11 (x == 0) d. (x > 0) && (x == 0)

Answers

1)correct option is b) true

2)Which of the following expressions always evaluates to true?

 correct option is d)(x > 0) && (x == 0)

given that

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.

x = 5 and y = 7

Choose the value of the following expression: (x != 7) && (x <= y)

a. false

b. true

c. 0

d. null

(5! = 7) && (5<=7)

5 ≠ 7

correct option is b) true

Suppose that x is an int variable.

Which of the following expressions always evaluates to true?

a. (x > 0) || ( x <= 0)

b. (x > 0) && ( x <= 0)

c. (x >= 0) 11 (x == 0)

d. (x > 0) && (x == 0)

a) x = 1,2,3.... || x =0,-1,-2,-3......

b)x = 1,2,3.... && x = 0,-1,-2,-3,.....

c) x = 0,1,2,3..... 11 x = 0

d) x = 1,2,3.... && x = 0

correct option is d)(x > 0) && (x == 0)

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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

WILL GIVE 100 POINTS!

A. g(-4) = -11
B. g(7) = -1
C. g(0) = 2
D. g(-13) = 20

Answers

Answer:

D. g(-13) = 20

Step-by-step explanation:

Given information:

Domain:  -20 ≤ x ≤ 5Range:  -5 ≤ g(x) ≤ 45g(0) = -2g(-9) = 6

Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.

Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.

Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.

Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.

4. BK has endpoints B(1, 4) and K(4, -3). Rotate BK clockwise 270 degrees about the

origin.

Part AWrite an algebraic description of the transformation of BK.

Part B: What are the endpoints of the new line segment?

Answers

The algebraic description of the transformation of B(x, y) = B'(y + 0, 0 - x)

The algebraic description of the transformation of K(x, y) = K'(y + 0, 0 - x)

The endpoints of the new line segment are B'(4, -1) and K'(-3, -4).

As per the given data BK has endpoints B(1, 4) and K(4, -3).

Rotate BK clockwise 270 degrees about the origin.

Every point of a source image is transformed in a plane via a rotation that rotates it around a fixed point at a specific angle and direction. The fixed point is referred to as the rotational center.

The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.

Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees anticlockwise.

Now, it would be (x, y) = (-y, x)

We have;

R (x, y) to R' (y, -x)

The algebraic description is simply written as;

R (x, y) = R'(y + 0, 0 - x)

B (x, y) = B'(y + 0, 0 - x)

K (x, y) = K'(y + 0, 0 - x)

To get the new endpoints, we simply write the transformation as shown;

B(1, 4) becomes B'(4, -1)

K(4, -3) becomes K'(-3, -4)

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What are the real roots of the equation x2 3 x1 3 − 2?

Answers

The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.

The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.

But,

Let y = x^(1/3)

The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.

Solving for the roots of this equation,

y² + y - 2 = 0

(y + 2)(y - 1) = 0

y = -2   ;   y = 1

Substitute the value of y and solve for x.

y = x^(1/3)

-2 = x^(1/3)   ;   1 = x^(1/3)

x = -8   ;   x = 1

Therefore, the real roots of the equation is 1 and -8.

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the current ratio of Sara's sales to Ravi's sales is 100:2 would you earn a greater total commission with Sara or Ravi?
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?

Answers

One would earn more if one apprenticed for Sara as a professional artist as evident judging from the current sales ratio and commission rates.

Which of Sara and Ravi guarantees more earnings after apprenticeship?

As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.

Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.

Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.

Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.

Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.

Ultimately, one would earn more if one apprenticed for Sara.

Complete question; Sara's pieces of art sell for $25 each your commission is 60%.

Ravi's pieces of art sell for $2000 each and your commission is 25%.

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3. Mr. Langley is painting the exterior of his house. He uses 7 1/2 gallons of paint for the surface

and 2/3 of a gallon of paint for the trim. He had estimated that he would use 11 gallons of paint. How

many gallons of paint was he away from his estimation?

Answers

The amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

What is estimation?

Estimation is the process of making an educated guess about the value of something, such as a quantity, cost, or other measurement, based on the available information. It's used in many fields, including mathematics, engineering, economics, business, and project management. Estimation is an important skill which can help people make decisions and solve problems quickly.

Mr. Langley was away from his estimation by 0.21 gallons of paint. This is calculated by subtracting the total amount of paint he actually used (7.5 + 0.66 = 8.16 gallons) from the amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

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