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Answer:

(6, 1)

Step-by-step explanation:

When a point is reflected over the x-axis, its y-coordinate changes sign. When a point is reflected over the y-axis, its x-coordinate changes sign.

So, when point Q, located at (-6,-1), is reflected over the x-axis to create point Q', the new point has the same x-coordinate and a y-coordinate of -1 to 1 = 1. So, Q' is located at (-6, 1).

Next, when Q' is reflected over the y-axis to create Q'', the new point has the same y-coordinate and an x-coordinate of -6 to 6 = 6. So, Q'' is located at (6, 1).

So, the ordered pair that describes the location of Q'' is (6, 1).

Answer:

Step-by-step explanation:

Here's a step by step explanation for writing a function to approximate the number of annual visitors to the overlook x years after the nature center is built:

Start by defining the initial number of visitors as the baseline. We'll call this y0 and set it equal to 3,500 tourists:

y0 = 3,500

Define the rate of growth as a percentage increase. We're told that the number of visitors is expected to increase by 5% each year, so we'll call this rate "r" and set it equal to 0.05:

r = 0.05

Write the equation for exponential growth. The formula for exponential growth is given by:

y = y0 × (1 + r)^x

where x is the number of years after the nature center is built.

So, the equation for the function in this case would be:

f(x) = 3,500 × (1 + 0.05)^x

This function models the expected number of annual visitors to the overlook x years after the nature center is built. The function is exponential because the number of visitors is multiplied by a constant factor (1 + 0.05) raised to a power (x) at each time step.

The only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given is a quadratic function f(x) = x² - 5x + 12, there are some options given, we need to select the option which are correct according to the given quadratic function,

So, firstly we will plot the graph of the given function,

From the graph, we get,

The function is a parabola which opens up, the points (20, -8) and (0, 0) do not lie in the graph,

Now, finding the value of f(-10), put x = -10

(-10)² - 5(-10) + 12 = 100+52+12 = 164

Hence, in the conclusion the only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

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A more accurate value would be 13.8271643518519

Round it however you need to.

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

Explanation:

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Let's see how many seconds there are in a day.

[tex]1 \text{ day} = (1 \text{ day})*\frac{24 \text{ hrs}}{1 \text{ day}}*\frac{60 \text{ min}}{1 \text{ hr}}*\frac{60 \text{ sec}}{1 \text{ min}}\\\\=\frac{24*60*60}{1*1*1}\text{ sec}\\\\=86,400\text{ sec}\\[/tex]

I set up those fractions so that the units "day", "hours", "minutes" cancel out. The only unit left over is "seconds".

There are exactly 86,400 seconds in 1 day.

This leads to the fact the sink fills up at a rate of 86,400 drops per day, since the leak rate is 1 drop per second.

----------

1 drop = 0.003 cubic inches approximately

x of those drops give a volume of 0.003x cubic inches, where x is some positive whole number. Set this equal to the volume of the sink and solve for x.

0.003x = 3584

x = 3584/0.003

x = 1,194,666.66666667 approximately

Round up to the nearest whole number to get 1,194,667

The sink starts to overflow when we have 1,194,667 drops of water in it.

Divide this over 86,400 mentioned earlier.

(1,194,667)/(86,400) = 13.8271643518519 approximately.

Round that however you need to. If for instance you round to 3 decimal places, then it would be 13.827

The average thickness of the metal sheet is 0.0423 inches.

In statistics, the mean is a measure of central tendency of a set of data. It is also referred to as the arithmetic mean and is calculated by adding up all the values in the data set and dividing by the total number of values.

Mean = (sum of all values) / (number of values)

For example, suppose we have the following set of data: 5, 7, 9, 11, 13. To find the mean, we add up all the values and divide by the total number of values, which is 5 in this case:

Mean = (5 + 7 + 9 + 11 + 13) / 5

Mean = 9

Therefore, the mean of this data set is 9.

The mean is a commonly used measure of central tendency because it takes into account all the values in the data set and is sensitive to changes in the data. However, it can be affected by outliers or extreme values in the data set, which can skew the results.

To find the average thickness of the sheet, we need to add the five measurements together and then divide by 5 (the number of measurements):

Average thickness = (0.0401 + 0.0417 + 0.0462 + 0.0407 + 0.0428) / 5

Average thickness = 0.0423 in

Therefore, the average thickness of the metal sheet is 0.0423 inches.

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The table offers an average rate of change greater than the average rate of change of the function f(x) = x² + 2 · x - 1.

In this problem we need to determine two average rates of change, one from an equation and another from a table. Graphically speaking, average rate of change is the slope of a line secant to a curve and it can be computed by secant line formula:

m = [f(2) - f(- 2)] / [2 - (- 2)]

First, we proceed to determine the average rate of change for the function f(x) = x² + 2 · x - 1:

f(- 2) = (- 2)² + 2 · (- 2) - 1

f(- 2) = 4 - 4 - 1

f(- 2) = - 1

f(2) = 2² + 2 · 2 + 1

f(2) = 9

m = [9 - (- 1)] / [2 - (- 2)]

m = 10 / 4

m = 5 / 2

m = 2.5

And the average rate of change of the table:

m = (6.25 - 0.16) / [2 - (- 2)]

m = 0.09 / 4

m = 609 / 400

m = 1.523

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Answer:

11300

Step-by-step explanation:

The closest 100 to 11311 is 11300

If the number was 11351 you would round up to 11400

Answer:

Step-by-step explanation:

You want an inequality and its solution for finding the cost of goggles that put Winston over his $150 budget when combined with the purchase of a $90.50 helmet.

If x represents the cost of the goggles, then Winston's total spending is ...

  90.50 + x

If that is over is $150 budget, the relation is described by ...

  90.50 +x > 150

Subtracting 90.50 from both sides gives ...

  x > 59.50

This tells us the goggles cost more than $59.50.

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Each worker would take home a net pay of $586.71.

What is the net pay?

The net pay is the amount of money that an employee takes home after all deductions have been made from their gross pay. Gross pay is the total amount of money an employee earns before taxes and other deductions are taken out.

To calculate net pay, you need to subtract all the required deductions from the employee's gross pay.

To calculate the net pay for each worker, we first need to determine their gross pay. The gross pay will depend on the number of hours they worked and whether they worked any overtime.

For the first 40 hours worked, each worker earns $15.90 per hour, so their gross pay for those hours would be:

Gross Pay for 40 hours = $15.90/hour x 40 hours = $636

For any hours worked beyond 40, the worker earns time and a half wages. This means they earn 1.5 times their regular hourly wage of $15.90, or $23.85 per hour. So, if they worked, for example, 45 hours in total, the additional 5 hours would be paid at the overtime rate, resulting in an additional gross pay of:

Gross Pay for 5 overtime hours = $23.85/hour x 1.5 x 5 hours = $178.88

Therefore, their total gross pay would be:

Total Gross Pay = Gross Pay for 40 hours + Gross Pay for 5 overtime hours = $636 + $178.88 = $814.88

Now, we need to calculate the deductions, which we are told are 28% of the gross pay. So the total deductions would be:

Total Deductions = 28% x $814.88 = $228.17

Finally, to determine the net pay, we need to subtract the total deductions from the gross pay:

Net Pay = Gross Pay - Total Deductions = $814.88 - $228.17 = $586.71

Therefore, each worker would take home a net pay of $586.71.

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Answer:

qr rs st qt are the line hope it helped

Answer:

50

Step-by-step explanation:

4x10=40.

5x10=50

Answer:

Step-by-step explanation:

To increase a quantity in a given ratio, we can follow these steps:

Step 1: Find the total increase in the quantity.

Suppose the original number of books is "b". The total increase in the number of books is 40, so:

b + 40 = b

Step 2: Divide the total increase into two parts in the given ratio.

In this case, the ratio is 5:4, so we can divide the increase of 40 into two parts in the ratio 5:4. Let's call the first part "x". Then, the second part is 40 - x.

The first part (5x) is 5 times the second part (4x), so:

5x = 4(40 - x)

Step 3: Solve for x.

Expanding the right side:

5x = 160 - 4x

Adding 4x to both sides:

9x = 160

Dividing both sides by 9:

x = 40/9

Step 4: Find the new number of books.

The first part of the increase (x) is 40/9, and the second part (40 - x) is 40 - 40/9 = 40 * 9/9 - 40/9 = 40 * 8/9. The new number of books is the original number plus the two parts of the increase:

b + 40/9 + 40 * 8/9 = b + 40

So, the new number of books is b + 40.

There are 29% of the Planes are Green.

The percentage is defined as a ratio expressed as a fraction of 100.

Total number of green planes = 250

The total number of green vehicles = 870

The percent of green planes = (number of green planes/number of total green vehicles) x 100

The percent of green planes = (250/870) x 100

The percent of green planes = 0.2873 x 100

The percent of green planes = 28.73

Round to the nearest percent, and we get

The percent of green planes = 29%

Thus, 29% of Planes are Green.

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The location of the points for quadrilateral KLMN have been plotted in the graph shown in the image attached below.

In Geometry, there are different types of quadrilateral and these include the following:

Next, we would use an online graphing calculator to construct (plot) quadrilateral KLMN on a cartesian coordinate based on the given vertices. Also, you should enter the value for each vertices of quadrilateral KLMN on the x-coordinate and y-coordinate respectively as shown in the table.

By critically observing the graph of quadrilateral QRST, we can reasonably infer and logically deduce that it represents a parallelogram.

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The probability that a customer selected randomly would only like Carmel apple is 23/76

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space/ total outcome

sample space is the number of customers that like caramel apple latte only = 46

The total number of customers = 46+61+27+18 = 152

Therefore The probability that a customer selected randomly would only like Carmel apple = 46/152 = 23/76

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The speed of Petra will be 0.55 mile/minute.

What exactly is speed?

The definition of speed is:

The pace at which an object's location changes in any direction.

Speed is defined as the ratio of distance travelled to time spent travelling. Because it has just one direction and no magnitude, speed is a scalar number.

Formula for Speed

The speed formula is shown below:

s=d/t

Where,

s is the speed in metres per second, d is the distance travelled in metres, and t is the duration in seconds.

Now,

As given petra jogs 60 miles in 110 minutes

then in one minute she will jog =60/110 mile

=0.5454 mile/min

Hence,

           The speed of Petra will be 0.55 mile/minute.

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The equation that represents the graph of a line passing through the points (0, -1) and (1, -4) is y = -3x - 1.

What is graph?

A graph is a visual representation of data or information that shows the relationship between different variables or quantities. Graphs can take many forms, including bar graphs, line graphs, scatterplots, and pie charts, among others. They are widely used in many fields, including mathematics, science, economics, and social sciences, to help visualize and analyze data, identify patterns, and communicate findings to others in a clear and concise manner. By representing complex information in a simple, easy-to-understand format, graphs can provide valuable insights and help us make informed decisions.

The equation that represents the graph of a line passing through the points (0,-1) and (1,-4) is:

y = -3x - 1

To find the equation of a line given two points, you can use the slope-intercept form:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is one of the given points.

First, we can find the slope of the line:

m = (y2 - y1) / (x2 - x1)

= (-4 - (-1)) / (1 - 0)

= -3

Next, we can choose one of the given points and substitute its coordinates and the slope into the slope-intercept form:

y - (-1) = -3(x - 0)

y + 1 = -3x

y = -3x - 1

Therefore, the equation that represents the graph is y = -3x - 1.

Option A, y = -1/3x - 1, has a slope of -1/3, which is not the slope of the line passing through the given points.

Option C, y = -1/3x + 1/3, also has an incorrect slope of -1/3, and it also does not pass through the point (0,-1).

Option D, y = -3x + 1/3, has the correct slope of -3, but it does not pass through the point (0,-1).

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If the equation be [tex]$\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$[/tex] then the value is 1.22222

The term "numerical evidence" describes information that is expressed in a numerical manner, such as numbers, quantities, or statistical data. It is thought to be objective and quantifiable, and it is used to support a claim or argument.

The quantity of sales made during a specific business quarter is an example of numerical data. Simply put, if the response includes a number, the data is quantitative (numerical).

Let the equation be [tex]$\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{x^2-x-30}{x^2-3 x-18}= \frac{x+5}{x+3}$[/tex]

[tex]$=\lim _{x \rightarrow 6}\left(\frac{x+5}{x+3}\right)$$[/tex]

Plug in the value x = 6

= (6 + 5)/(6 + 3)

= 11/9 = 1.22222

Therefore, the equation of [tex]$\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$[/tex] be 1.22222.

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[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{g}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{g}-\underset{x_1}{(-7)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{ 7 }\implies \cfrac{-7}{g+7}=7\implies -7=7(g+7) \\\\\\ \cfrac{-7}{7}=g+7\implies -1=g+7\implies \boxed{-8=g}[/tex]

If you are 25yr old and single with no kids/dependents.  The total Federal Income Taxes is $11,218 and FICA paid is $6,478.

First, you need to determine your taxable income.

Gross income: $84,649

Itemized deductions: $10,211

Tax-deferred retirement contributions: $3,288

Taxable income: $71,150

Next, you can use the tax brackets and rates for the 2023 tax year to calculate your federal income tax liability.

The first $10,950 is taxed at 10%: $1,095

The next $32,250 is taxed at 12%: $3,870

The next $28,425 is taxed at 22%: $6,253

The remaining $0 is taxed at 24%: $0

Total federal income tax liability: $11,218

b. For 2023, the Social Security tax rate is 6.2% on the first $147,000 of income, and the Medicare tax rate is 1.45% on all income.

Social Security tax: $5,240.80

Medicare tax: $1,237.20

Total FICA taxes: $6,478

Therefore the total Federal Income Taxes is $11,218 and FICA paid is $6,478.

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The expression when simplified is 2c^3d^3(4cd^2 + 1)

From the question, we have the following parameters that can be used in our computation:

8c^4d^5+2c^3d^3

Factor out 2 from the expression

So, we have the following representation

2(4c^4d^5 + c^3d^3)

Factor out c^3d^3 from the expression

So, we have the following representation

2c^3d^3(4cd^2 + 1)

Hence, the expression is 2c^3d^3(4cd^2 + 1)

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The proof of the parallelogram has been given below

We have WXYZ as a parallelogram.

XW = ZY

XW // ZY

such that

M ∠VXW = M VZY (This is alternate interior angles,)

M∠VWX = M ∠VYZ

therefore ΔVXW ≅ Δvzy

wv = yv

Then XZ bisects WY

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The answer is not one of the given choices. The correct answer is 73.

To find the total number of individuals who took the quiz, we need to add up the frequency (f) for each score (x) and then take the sum:

5(6) + 4(5) + 3(5) + 2(3) + 1(2) = 30 + 20 + 15 + 6 + 2 = 73

Therefore, the answer is not one of the given choices. The correct answer is 73.

       Frequency distributions are portrayed as frequency tables or charts. Frequency distributions can show either the actual number of observations falling in each range or the percentage of observations. In the latter instance, the distribution is called a relative frequency distribution.

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Answer:

Step-by-step explanation:

The surface area of a rectangular box can be calculated as follows:

Surface area = 2lw + 2lh + 2wh

Where l is the length, w is the width, and h is the height.

We are given the surface area (500 ft2) and the length and width (16 ft and 7 ft respectively), so we can use these values to solve for the height:

500 = 2 * 16 * 7 + 2 * 16 * h + 2 * 7 * h

500 = 224 + 32h + 14h

500 = 238h + 224

276 = 238h

h = 276 / 238

h = 1.16 ft

So the height of the box is approximately 1.16 feet.

The proofing will be illustrated thus:

1.  Seg. AC bisects ∠BAD                                 1.  Given

2.  (m=measure) m∠BAC=∠CAD                      2.  Definition of angle bisector

   Therefore, m∠BAC≅∠CAD.

3.  AC=AC                                                      3.  reflexive property

4.  ∠ABC =∠ADC                                            4.  Given

5.  Triangle ABC≅Triangle ADC                        5.  Angle-Angle-Side (AAS postulate).

6.  Therefore, BC=DC                                     6. CPCTC

It should be noted that AAS stands for Angle-Angle-Side. In this case, ehen two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Corresponding parts of congruent triangles are congruent.

Here, the two pairs of angles correspond, but there is a shared side that is not between the angles.

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Given: AC bisects \angle BAD

Given: AC bisects \angle BAD

\angle ABC=\angle ADC

Write a two-column proof to prove= BC=DC

C is 22 and B is 20, then the length of CB is √(22² + 20²) = √(884) = 29.

Length is a measurement of size and it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept in mathematics, science and engineering and many others build it to used to calculate the dimensions of this area. And more it is also used to measure the time it takes to travel.

The length of CB can be determined by using the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. Since CB is the hypotenuse of a right triangle, the length of CB can be determined by solving the following equation:

C² + B² = CB²

Therefore, when given the lengths of sides C and B, the length of CB can be calculated by taking the square root of the sum of the squares of C and B.

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Answer:

undefined or no slope.

Step-by-step explanation:

m is slope. slope is always change of y over change of x. this mean. y2-y1 divide by x2-x1. in this case y2 is -8, y1 is 5 and x2 is 6 and x1 is 6. remember the number in front the variable are base. the answer is undefined.

The shape of the newly cut cross section is option A. A rectangle, 5 inches by 6 inches.

Rectangle is a two dimensional shape or figure which consists of four sides and four angles and all the angles are right angles.

Opposite sides are equal.

It is clearly seen that the red line is passing along the length of the  block.

So the new cross section cannot have the dimension 15 inches in any part.

And the width and height is not getting cut.

So the dimension will be 5 inches by 6 inches.

A square has all the sides equal.

Since both the dimensions are not equal it is a rectangle and not a square.

Hence the new cross section is A. A rectangle, 5 inches by 6 inches.

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The complete question is as follows and the image for the block is attached below :

Landis cuts a foam block along the red line. When he looks at the newly

exposed face, what is the shape of the cross-section?

A. A rectangle, 5 inches by 6 inches

B. A rectangle, 15 inches by 6 inches

C. A rectangle 5 inches by 15 inches

D. A square, 5 inches by 5 inches