Write the equation of this line in slope-intercept form.

The price per square foot of a vacant lot that measures 50' x 102' and sold for $108,250 is $21.23.

To find the price per square foot of the vacant lot, we need to divide the total price by the total area of the lot.

We can find the area of the lot by multiplying the length by the width:

Area = 50' x 102' = 5100 sq.ft

Then, we can divide the total price by the total area to find the price per square foot:

Price per sq.ft = Total Price / Total Area

Price per sq.ft = 108,250 / 5100

Price per sq.ft = 21.23

Therefore, the price per square foot of the vacant lot is $21.23.

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The slope and y-intercept can provide important information about the relationship between the variables being modeled.

What are the slope and y-intercept?

The slope and y-intercept are both elements of a linear equation of the form y = mx + b, where m represents the slope of the line and b represents the y-intercept of the line.

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It tells us how much the y-value changes for a given change in the x-value. The slope can be positive, negative, or zero, and it is often represented as a ratio, such as "rise over run" or "rise/run". A positive slope indicates that the line rises as x increases and a negative slope indicates that the line falls as x increases.

The y-intercept (b) represents the point at which the line crosses the y-axis. It tells us the value of y when x = 0. In other words, the y-intercept is the value of the dependent variable when the independent variable is zero.

Hence, the slope and y-intercept can provide important information about the relationship between the variables being modeled.

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If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

By employing the criteria that certain events have occurred, the Bayes Theorem allows us to determine the posterior probability. 

Given that,

E: Purchaser has extended Warranty.

A: He chooses a basic model.

B: He chooses a deluxe model.

P(A) = 0.42

P(B) = 0.58

P(E/A) = 0.44

P(E/B) = 0.49

The probability that a randomly selected customer has an extended warranty is given by:

P(E)= P(E/A)*P(A)+P(E/B)*P(B) = 0.44*0.42 + 0.49*0.58= 0.469

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is given by:

P(A/E)= P(E/A)*P(A)/P(E) = 0.44*0.42/0.469 = 0.3940

Thus, If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

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Answer: 0.8? i'm not sure lol check explaination

Step-by-step explanation:
slope formula: y2-y1/x2-x1
5-1/3-(-2)=4/5=0.8

Answer:

The total boxes would be 625,000

Step-by-step explanation:

5,000,000÷8=625,00

If you have 5,000,000 toys and each box holds 8 toys, you need to divide the number of toys that will fit into a box from the total number of toys

Solution for the given expression is x = 16y^2 -5.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given an expression in terms of x where y and x both are variables

To make x the subject we need to calculate the value of x in terms of y

Thus,

√(x +5) / 4 = y

multiply by 4 both sides

√(x + 5 ) = 4y

take square

x + 5 = 16 y²

x = 16y² - 5

therefore, given expression in terms of y is  x = 16y² - 5.

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Answer:

b. F' (3, 0), G' (-6, -1), H' (-5, -3)

The value of a and b is 1.

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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Answer:

Step-by-step explanation:

The function f(x) = 4x/(x-16) has two vertical asymptotes at x = 16. This can be seen by taking the limit of the function as x approaches 16 from the left and right sides.

On the left side, as x approaches 16 from the left, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach -∞. This results in a limit of -∞, indicating a vertical asymptote at x = 16.

On the right side, as x approaches 16 from the right, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach +∞. This results in a limit of +∞, also indicating a vertical asymptote at x = 16.

The end behavior of the function is that as x approaches +∞, the function will approach +∞, and as x approaches -∞, the function will approach -∞.

The possible values for f and g are -2, 2, -4, 4, -1, 1.

What is inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

If fg^2 = 32, then either fg = ±4, ±2, or ±1. If f < 20 and g < 20, then the possible values for f and g are:

f = 2, g = 4

f = 4, g = 2

f = 1, g = 4

f = 4, g = 1

f = 2, g = 2

f = 1, g = 1

Hence, the possible values for f and g are -2, 2, -4, 4, -1, 1.

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That bill age is currently 46 years old, and the ted age is currently 14 years old, according the provided statement.

Frequently, having an ancient soul only means you see things differently. There is nothing improper about that. In fact, most individuals would contend that having a distinct outlook on life may be advantageous to both you and those in your life. Depending on how you do it with your understanding, the wider world may be a possibility.

Equations:

B+2 = 3(t+2), B+t = 60, B-t = 4, and B+t = 60

Solve for "t" by subtracting: 4t = 56 t Equals 14 (Ted's current age).

Calculate "b" as follows: b + t = 60 b + 14 = 60 b Equals 46 (Bill's current age).

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As per the given bar graph, the class with the least number of data values is 85 - 95.

The term bar graph in math is defined as  a graphical representation of data, quantities, or numbers using bars or strips and they are used to compare and contrast different types of data, frequencies, or other measures of distinct categories of data.

Here we have the following bar graph with the values are plotted on it.

By looking into the given graph we have idetintified the value of the interval as follows:

35 - 45 = 3

45 - 55 = 5

55 - 65 = 8

65 - 75 = 6

75 - 85  = 4

85 - 95 = 2

As we looking into the value we know that the option (d) has the lowest value among them.

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Naturally, the task did not require the values of the two variables.Each tree costs $47 and each bush is $23.

Although I don't have subtotals for the bushes and trees, I could try to add the bushes and trees to get 19 bushes and 6 trees, but this wouldn't help me at all.

So I'll choose two variables ("b" for the quantity of bushes and "t" for the quantity of trees) and construct an equational structure:

13b + 4t = 487 is the first order.

second order: 6b plus 2t equals 232.

When I divide the second row by -2, I obtain:

13b + 4t = 487

-12b – 4t = –464

Therefore, b must equal 23.

Using back-solving, I discover that t = 47.

Naturally, the task did not require the values of the two variables.

The answer, when translated back into English, is:

Each tree costs $47 and each bush is $23.

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The range for the function f(x) = 3x² + 18x is option d: [-27 , ∞).

What is the range of a function?

A function's range includes all conceivable values for y. Y = f(x) is the formula to determine a function's range . It is only a function in a relation if each x value has exactly one y value.

The given function is -

f(x) = 3x² + 18x

The set of values of the dependent variable for which a function is defined is a function's range.

For a parabola ax^2+bx+c with vertex (xv,yv) -

If a<0 the range is f(x) ≤ yv.

If a>0 the range is f(x) ≥ yv.

Here a=3, and vertex (xv,yv) = (-3,-27)

So, f(x) ≥ -27.

Therefore, the range is [-27 , ∞).

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Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 9) ← 2 points on the line

m = [tex]\frac{9-2}{8-1}[/tex] = [tex]\frac{7}{7}[/tex] = 1

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = x + 1 ← equation of line

Answer:

11)  y = -x + 9

12) y = 4x - 16

13) y = x - 5

14) y = -2x + 4

15)y =  0.5x - 3

Step-by-step explanation:

In all these equations isolate y by moving the other terms to the left side and dividing by the coefficient of x to get the slope intercept form

11)

x + y = 9

y = -x + 9 by moving x to the right side

12)
4x - y = 16

-y = -4x + 16

Multiply by -1 to get y = 4x - 16

13)

2x - 2y = 10

-2y = -2x + 10

Divide by -2 to get y = x - 5

14)

4x + 2y = 8

2y = -4x + 8

Divide by 2 to get y = -2x + 4

15)
x - 2y = 6

-2y = -x + 6

Divide by -2 to get y = x/2 - 6 = 0.5x -3

Answer:

Step-by-step explanation:

The line passes through points (2,1) and (0,-5)

Using this, we can find the slope, which is

change in y/change in x = -6/-2 = 3

Therefore the slop of this line is 3.

Next, the y-intercept of this line is -5.

So we can find the equation of this line in slope-intercept form which is:

y=3x-5

Yes, the above mentioned is a valid probability distribution because the probabilities add up to give you 1.

Probability distribution gives you the probability of different variations of the event happening. It gives the chances of the occurrence of random events like rolling a die, tossing a coin, etc. To check whether your probability distribution is right, you have to sum up your probabilities. If it adds up to 1, it is right. If it does not, it is not. Only if the sum is 1, the table shows the real probability of the event happening. In this question, 0.22 + 0.62 + 0.16 = 1. Therefore, the probability distribution is valid.

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Driving to the supermarket is Joshua. He covers 7.5 miles since he goes an average of 0.56 miles per minute.

By dividing the entire specific number by sum of all the values, the average can be obtained. A mean may indeed be calculated by adding all of the values in a sample of data. In other terms, a means is also known as the arithmetic mean. The average is referred to as having a mean.

The provided function is

d(t) = 0.5t

Simply substitute it to get the figure set t = 15

7.5 miles are equal to d (15) 0.5 (15).

To get the distance, use the range equations d = st, which says "distance equals force times time." Rate and speed are equivalent because they both indicate a specific length of distance per unit time, such like km/h or kilometers per hour. R = s = d/t is true if clip r and mobility s are equal.

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The given historical date have time difference. So the Historical Dates From 800 BC to 1800 AD is a interval data. So the option a is correct.

In the given question we have to classify the historical dates from 800 BC to 1800 AD.

All real numbers that fall inside any two of the set's numbers are known as members of an interval, which is a set of real numbers.

Data that may be labelled or categorized into groups that are mutually exclusive within a variable is known as nominal data. There is no logical order in which to place these categories.

Ordinal data is a categorical statistical data type when the distances between the categories are unknown and the variables have naturally occurring, ordered categories.

A type of numerical data is ratio data. It evaluates variables on a continuous scale, with equal distance between neighbouring values.

As we can see that the given historical date have time difference. So the Historical Dates From 800 BC to 1800 AD is a interval data. So the option a is correct.

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Answer:

the first one

Step-by-step explanation:

using the vertical line rule, we can see that a vertical line would intersect the first graph more than once at any point to the right of the vertex. this cannot be said for the other graphs

We may calculate the corresponding value of z = 1.476 using a conventional normal right-tailed z-table.

Find the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table (e.g. whole number and the first digit after the decimal point). It is 1.0 in this instance. We then look up the last number, which in our example is 0.09, from across table (on top).

The amount of standard deviations a scoring or value (x) is from the mean is the number of Z scores (Z value). Z-score quantifies data dispersion in other terms. Z-score, informally, indicates however many standard deviations a number (x) is below or above population mean (µ).

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Answer:

$25.80

Step-by-step explanation:

Since we need to mark up the price of something, we need to find what 20% of 129 is, then add it to 129. To find our 20%, we put 129 in a fraction like this and get:

[tex]\frac{129}{5} = 25.8[/tex]

So, the markup is $25.80.

Hope this helped!

Company A charges $90 for unlimited mileages, while company B charges $75 initial fee and #0.6 per mile driven. Company A will  charge less than company B if the number of miles driven is greater than 25 miles or m > 25.

To solve the problem, we need to translate the word problem into equations.

Let C(A) and C(B) represent the cost charged by company A and B respectively. Let m = the number of mileages.

Company A charges $90 and allows unlimited mileage, it means the charge is a constant and it is not a function of mileage.

Hence,

C(A) = 90

Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. Hence,

C(B) = 75 + 0.6 m

The inequality that translate: for what mileages will company A charge less than company B is:

C(A) < C(B)

90 < 75 + 0.6 m

To solve the above inequality, subtract 75 from both sides:

90 - 75 < 75 + 0.6 m - 75

15 < 0.6 m

m > 15/0.6

m > 25

Hence, if the mileages > 25 miles, company A charges less than company B.

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The percentage error if 3,750 is used as an approximation to 3,754 as calculated is found out to be as , 0.1066%.

We calculate the percentage of  error as ,

| Vobs – Vtrue |/ Vtrue× 100%

Therefore the percentage error in this case will be ,

= 3754 - 3750/3750

= 4/3750

=0.1066%

Therefore, the required POE is found out to be as , 0.1066%.

Percent error tells us about the  magnitude of our errors while measuring anything , this concept is used in approximation. Lower percentage errors suggest that we are getting close to the original number. A 1% inaccuracy, for example, implies that we were extremely close to the approved number, whereas a 48% error indicates that we were rather far from the genuine value.

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Answer: 176 BLUE marbles

Explanation:

First --> Total marbles ==> 264 / 0.60 = 440

Second --> Hence, the total number of BLUE marbles is 440 - 264 = 176

and there is 176 BLUE marbles

Answer:

660

Step-by-step explanation:

first, 264 yellow marbles.

the percentage of yellow is 60.

If total percentage is 100 then, blue is 100-(yellow percentage)

that is: 40 percent

the next sentence.

total marbles of blue is:

divide both sides by 0.4

x= 660.

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

A sequence is an arrangement of numbers, or "terms." Terms like 2, 5, and 8 are examples. By taking advantage of a specific pattern some sequences use, they can be made to go on forever. To continue the sequence, add 3 and use the example of 2,5,8. In a succession of words, there exist formulas that show where to look. In mathematics, a sequence is a collection of items that are arranged in some manner (or events). Because it has parts, it is similar to a set (also called elements or terms). The length of the sequence is defined as the total, possibly unlimited number of ordered objects. arranging two or more elements in a sensible sequence. Chronological.

given

Complex conjugation refers to the real line's reflection of the complex plane. Z or z can be used to represent the complex conjugate of z. Similar real and imaginary parts exist in the complex conjugate, but with the opposite sign on the imaginary portion.

This means that z=a+ib follows from z=a+ib.

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

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To find the equivalent expression with the fewest symbols possible for 1/3(3j6),One third of three times the value of six, which is equal to one times the value of two.

1/3(3j6)

= 1/3(3*6)

= 1/3(18)

= 18/3

= 6

= 1j2

To find the equivalent expression with the fewest symbols possible for 1/3(3j6), we need to start by multiplying 3 and 6 together. This gives us the result of 18. Next, we divide 18 by 3, which gives us the result of 6. Finally, we express the result as 1j2, which is the equivalent of 1/3(3j6) with the fewest possible symbols. By following these steps, we can easily calculate the equivalent expression with the fewest symbols. In this case, it is 1j2. The process of calculating the equivalent expression with the fewest symbols is relatively straightforward, but it is important to remember to use the correct order of operations when performing calculations. To ensure accuracy, it is best to work step by step, multiplying 3 and 6 together first and then dividing 18 by 3 to get the final result of 1j2.

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