Examine the coordinate grid below. What are the coordinates of the point A’ when point A is reflected across the x-axis?

Answer:

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Step-by-step explanation:

In many contexts, we can estimate distances between objects or locations, but we may not always be able to measure them precisely. There are several reasons why we might only be able to estimate distances rather than measure them exactly:

Limitations of measuring instruments: The precision of a measuring instrument can limit our ability to measure distances accurately. For example, a ruler may only have markings up to a certain level of precision, so we may need to estimate distances between the markings.

The variability of the distance: In some cases, the distance we are measuring may be constantly changing, making it difficult to measure with precision. For example, if we are trying to measure the distance between two moving objects, the distance between them will constantly change, and we may need to estimate the distance at a particular moment in time.

Environmental factors: The environment can also make it difficult to measure distances precisely. For example, atmospheric conditions such as haze or fog can obscure objects and make it difficult to judge their distance accurately.

Human perception and judgment: Finally, our own perception and judgment can also limit our ability to measure distances accurately. For example, when estimating the distance to an object, our perception of the size of the object can affect our judgment of its distance.

In many cases, despite these limitations, estimates of distances can still be useful and informative. For example, in navigation, we may not need to know the exact distance between two points, but only an estimate that is accurate enough to help us navigate from one point to the other

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Step-by-step explanation:

x - y = 16 ---eq(1)

x - y = 16 ---eq(2)

From eq(1)

x - y = 16

x = 16 + y ---eq(3)

Substituting the value of eq(3) into eq(2)

(16 + y) - y = 16

16 = 16

We can't get a proper value for this pair of linear Equations

But, Since both the equations are the same, the lines formed by them will be coincident and therefore they will have infinitely many solutions

The range of heights for lots in New York City is:

1776 feet - 0 feet = 1776 feet.

Height is a mathematical term that refers to the vertical distance between an object's top and base. On sometimes, it has the designation "altitude." The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.

The range of heights for lots in New York City is the difference between the tallest and shortest lots.

The tallest lot is 1 World Trade Center, which is 1776 feet tall.

The shortest lot is empty and 0 feet tall.

Therefore, the range of heights for lots in New York City is:

1776 feet - 0 feet = 1776 feet

So, the answer is A. 1776 feet.

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The quadratic equation y = 4 · x² + 28 · x + 49 is an example of a perfect square trinomial.

There are two configurations for the dimensions of the rectangle:

Configuration 1: b = 6 · (x - 1 / 2), h = x + 4 / 3

Configuration 2: b = 6 · (x + 4 / 3), h = x - 1 / 2

In this problem we find the quadratic equation y = 4 · x² + 28 · x + 49 and we need to check if the expression represent a perfect square trinomial. A quadratic equation is a perfect square trinomial if and only if the following formula is fulfilled:

a · x² + b · x + c = r₁² · x² + 2 · r₁ · r₂ · x + r₂² = (r₁ · x + r₂)²

That is,

r₁² = a

r₁² = 4

r₁ = 2

r₂² = c

r₂² = 49

r₂ = 7

2 · r₁ · r₂ = b

2 · 2 · 7

28

The quadratic equation y = 4 · x² + 28 · x + 49 is a perfect square trinomial.

Finally, we determine the dimensions of a rectangle whose area is the quadratic equation A = 6 · x² + 5 · x - 4. The area formula for a rectangle is described by the following formula:

A = b · h

Where:

Then, the factored form of the quadratic equation is:

A = 6 · x² + 5 · x - 4

A = 6 · [x² + (5 / 6) · x - 2 / 3]

A = 6 · (x - 1 / 2) · (x + 4 / 3)

There are two possible configurations for the rectangle:

Configuration 1: b = 6 · (x - 1 / 2), h = x + 4 / 3

Configuration 2: b = 6 · (x + 4 / 3), h = x - 1 / 2

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The proportion of people with IQs above 140 is 2.5% of a mean of 100 and standard deviation of 20.

Comparative magnitude or extent; ratio; the relationship between several entities or components in terms of relative size, number, or degree. the right or ideal relationship between components of a whole; symmetry or balance. If a change in one variable can be expected from a change in the other, two variables are said to be in proportion. For secondary school chemists, there are two separate sorts of proportional relationships: direct proportion and inverse proportion.

When we find the proportion , we obtain:

P(y > 140) = 1 - P(y< 140)

               = 1 - P[(x - α) / β < (140 - 100) / 20]  

               = 1 - P(z < 2)                                  

               = 1 - 0.9772

               = 0.0228

               = 2.5%.

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The given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]

What are the rules of exponents?

The rules of exponents are a set of mathematical rules that simplify expressions that involve powers or exponents. Some of the basic rules of exponents include:

The expression [tex]x^6 * x * x^3[/tex] can be simplified using the rules of exponents as follows:

[tex]x^6 * x * x^3 = x^{(6+1+3)} = x^{10}[/tex]

Therefore, the given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]

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Answer:

a+75+65= 180(sum of angle of triangle)

a+140=180

a=180-140

a=40

In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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Answer:

Second inequality is
12x + 16y ≥ 460

We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative

Step-by-step explanation:

The other equality refers to the earnings

Let x be the hours worked in the first job
Earnings at $12 per hour = 12x

Let y be the hours worked in the second job
Earnings at $16 per hour = 16y

Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥

So second inequality is
12x + 16y ≥ 460

Answer:

Diameter: 17

Circumference: 53.58

Area: 226.865

Step-by-step explanation:

How to solve for diameter of a circle:

(The radius is half of the diameter.)

How to solve for a circumference of a circle:

How to solve for the area of a circle:

Hope it helped!

Answer:

7.25

Step-by-step explanation:

Divide 8.99 by 1.24

The slope of this graph​ is equal to 0.375 or 3/8.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (35 - 20)/(40 - 0)

Slope, m = 15/40

Slope, m = 0.375 or 3/8.

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The value of the integral is π(540)^2.

We can change the order of integration as follows:

∫^(∞)(0)∫540∫9y6e−x2+zdxdydz = ∫^(540)(0)∫^∞_0∫^√(9y^6)_(−∞)e−x^2dzdxdy

The limits of z are from −∞ to ∞, but the integrand is an even function of z, so we can simplify the integral by taking the absolute value of the integrand and multiplying it by 2:

∫^(540)(0)∫^∞_0∫^√(9y^6)(−∞)e−x^2dzdxdy = 2∫^(540)_(0)∫^∞_0∫^√(9y^6)_0 e−x^2dzdxdy

We can now evaluate the integral with respect to z:

2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−√x^2+z)/2]|^√(9y^6)_0 dxdy

where erf is the error function.

Substituting the limits of integration and simplifying, we get:

2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−3y^3/√2x)/2]dxdy

Next, we can evaluate the integral with respect to x:

2∫^(540)_(0)[√π/2(x - √2/3y^3erf(−3y^3/√2x))]|^∞_0 dy

Since the limits of integration with respect to x are from 0 to ∞, the first term in the square brackets evaluates to ∞, and the second term evaluates to √π/2. Therefore, the integral reduces to:

2∫^(540)_(0)√π/2 dy = π(540)^2

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The volume of the rectangular prism is 32 square centimeters.

A prism is a polyhedron in three dimensions with two identical ends.

The volume of the rectangular prism

= base area of the prism x the height of the prism.

Given:

The base of the prism is squared shape.

And the side of the square is 4 centimeters.

b = 4 and the height is 2 centimeters.

The volume of the rectangular prism,

= base area x height

= (4 x 4) x 2

= 32 square centimeters.

Therefore, the volume of the prism is 32 square centimeters.

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The complete question is given in the attached image.

The investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method.

The process through which an investment earns returns on both the principal and the accrued interest over time is known as compounding. To put it another way, it is the reinvestment of interest income into an investment that enables the investment to increase exponentially over time.

Compounding works on the basic premise that interest earned on an investment is added to the principal amount. The interest is then calculated using the new, higher principal amount during the subsequent interest period, yielding even more interest. When the money generated is reinvested and grows over time, this cycle keeps repeating, increasing the investment's value more swiftly.

The investment given has a principal of $1,000, an annual interest rate of 3%, and interest periods of 4 per year. The investment is held for 15 years. To compare this investment to one with the same principal and annual interest rate compounded annually, we need to calculate the future value of the investment using both methods and compare the results.

Using the given investment method, we can calculate the future value as follows:

FV = P(1 + r/n)^(nt)

FV = 1000(1 + 0.03/4)^(4*15)

FV = $1,489.36

Using annual compounding, we can calculate the future value as:

FV = P(1 + r)^t

FV = 1000(1 + 0.03)^15

FV = $1,520.10

So, the investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method. This difference occurs because compounding more frequently leads to more frequent accumulation of interest, resulting in a higher final amount.

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Answer:

Angle 1= 45°

Angle 2= 90°

Step-by-step explanation:

Angle is found when you divide 90 by 2

We do this because all edges of a square add up to 90 and this angle is split in half, which is why we divided by 2

The to find angle 2 you get 45 for the left side of the triangle, 45 on the right side add them, which will give you 90, then subtract from 180 because angles in triangle equals 180 when you do this you get 90.

the sale price of a fishing rod is $28.16.

How to do?

The markup of 220% means the store sells the rods for 100% + 220% = 320% of the cost price.

So, the selling price of one fishing rod before the discount is:

320% of $11 = (320/100) x $11 = $35.20

Now, the rods are marked down by 20%, which means the selling price is reduced by 20% of $35.20:

20% of $35.20 = (20/100) x $35.20 = $7.04

Therefore, the sale price of one fishing rod after the 20% discount is:

$35.20 - $7.04 = $28.16

So, the sale price of a fishing rod is $28.16.

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Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,

A= [[-1, 0],
   [ 0, 1]]

This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.

Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).

Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.

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The probability that a randomly selected teacher earns more than $525 a week is 0.1820. Therefore, the probability that a randomly selected teacher earns more than $525 a week is 0.2177.

This is calculated by using the standard normal distribution formula:

P(x > 525) = 1 - P(x ≤ 525) = 1 - 0.8413 = 0.1820

The probability that a randomly selected teacher earns more than $525 a week can be found by calculating the z-score for $525 and then using the standard normal table to find the probability.

The z-score is calculated as follows:

z = (x - μ)/σ

Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

Plugging in the values from the question, we get:

z = (525 - 490)/45 = 0.78

Now, we can use the standard normal table to find the probability that a randomly selected teacher earns more than $525 a week. The table gives us the probability that a value is less than a given z-score, so we need to subtract the probability from 1 to find the probability that a value is greater than the z-score.

The probability that a value is less than 0.78 is 0.7823. So, the probability that a value is greater than 0.78 is 1 - 0.7823 = 0.2177.

Therefore, the probability that a randomly selected teacher earns more than $525 a week is 0.2177.

Answer: 0.2177

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The piecewise function graphed is defined as follows:

A piecewise function is a function that has multiple definitions, depending on the input x of the function.

The function in this problem has definitions for two intervals, given as follows:

For x < -5, the function is decreasing with a slope of -2, as when x increases by 1, y decays by 2, hence:

y = -2x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = -2(-6) + b

b = -12.

Hence:

y = -2x - 12, x < -5.

For x > 3, the function is decreasing with a slope of -1, as when x increases by 1, y decays by 1, hence:

y = -x + b.

When x = 5, y = 0, hence the intercept b is given as follows:

0 = -5 + b

b = 5.

Hence:

y = -x + 5, x > 3.

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The solution is, the required z-score is, 0.25.

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

Given that :

Mean score, μ = 69

Standard deviation, σ = 4

Score, x = 64

The standardized score, Zscore can be obtained using the formular :

Zscore = (x - μ) / σ

Zscore = (69 - 68) / 4

Zscore = 1 / 4

Zscore = 0.25

Hence, The solution is, the required z-score is, 0.25.

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On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer:

19. x = 60

20. x= 27

Step-by-step explanation:

19. Given 2 triangles are congruent

so BQ/BC = BR/BD

30/84 = x/168

84x = 30(168)

84x = 5040

x = 5040/84 = 60

20. Given 2 triangles are congruent

QS/QP = ST/PR

18/x = 10/15

10x = 18(15)

10x = 270

x = 270/10 = 27

Answer: i think its 20

Answer:

1 2/3 x 12 = 20

Step-by-step explanation:

1 2/3 x 12  = 5/3 x 12

5x12/ 3 x 1

60/3

60/3 / 3/3

= 20

Answer: i think for me its $10,300

Step-by-step explanation: Allowance account is deducted from Accounts Receivable to determine Net ... $300 credit balance + 10,000 additional credit = $10,300 credit balance.

Answer: D

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SOLUTION

TO DETERMINE

Decrease 72 in the ratio 4 : 3

EVALUATION

We have to Decrease 72 in the ratio 4 : 3

Let the numbers are 4x and 3x

So by the given condition

Hence the required number

= 3 × 18

= 54

FINAL ANSWER

Hence the required number = 54

The probability of spinning a blue is is 1/4.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.


The probability of spinning a blued, then blue is 1/4. The numerator of this fraction is 1.

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Answer:

Step-by-step explanation:

To determine which pairs satisfy the equation 2y - 8x = 6, we need to find values of x and y that make the equation true. One way to do this is to solve for y in terms of x:

2y - 8x = 6

2y = 8x + 6

y = 4x + 3

Now we can substitute different values of x into this equation and see what values of y we get. For example:

When x = 0, y = 3

When x = 1, y = 7

When x = -1, y = -1

When x = 2, y = 11/2

When x = -2, y = -5

So the pairs that satisfy the equation 2y - 8x = 6 are:

(0, 3), (1, 7), (-1, -1), (2, 11/2), (-2, -5)

In each of these pairs, when we substitute the values of x and y into the equation, we get a true statement

The equation has no real solution.

Mathematical expression is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ y = 4 (x + 1)³ + 8

Now, All the zeroes are find by substitute y = 0,

⇒ y = 4 (x + 1)³ + 8

⇒ 0 = 4 (x + 1)³ + 8

⇒ 4 (x + 1)³ = - 8

⇒ (x + 1)³ = - 8

⇒ x + 1 = ∛- 8

⇒ x + 1 = ∛8i²

⇒ [tex]x + 1 = 2i^{2/3}[/tex]

⇒ [tex]x = 2i^{2/3} - 1[/tex]

Hence, It has no real solution.

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Answer: i beleive it is the CEO

Step-by-step explanation:

Answer:

the correct answer is C, the general ledger.

Step-by-step explanation:

When adjusting entries in accounting, an accountant will compare their analysis of the trial balance with the company's general ledger accounts. The general ledger is the master set of accounts that contains all the transactions of the company, including adjusting entries. Adjusting entries are made at the end of an accounting period to update the accounts and ensure that the financial statements accurately reflect the company's financial position and results of operations. These entries may involve accruals of revenue or expenses, prepayments, depreciation, or other adjustments. After making these entries, the accountant will compare the updated balances in the general ledger to the trial balance to ensure that they are accurate and balanced. Therefore, the correct answer is C, the general ledger.