A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown:

A. The range represents the 54 month time period of the study.

B. The range represents the 36 month time period of the study.

C. The range represents the number of users each month for 36 months.

D. The range represents the number of users each month for 54 months.

Answer:

Quadratic equations of second degree.

\({ \bf{a {x}^{2} + bx + c = 0}}\)

Quadratic equations of third degree.

\({ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}\)

Answer:

.............ft2..............

The farmer calculates the surface area in a unit of ft².

The surface area of any given object is the area or region occupied by the surface of the object.

The area is the amount of surface a two-dimensional shape can cover, measured in square units. The SI unit of area is the square meter (m²), which is a derived unit.

Volume is the amount of space available in an object.

Each shape has its surface area as well as volume.

Surface area is the total area of the faces of a three-dimensional shape.

Surface area is measured in square units.

Thus, the farmer calculates the surface area in a unit of ft².

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\(\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b }},\:\quad \:a\ge 0,\:b\ge 0\)

\(\dfrac{\sqrt{6}}{\sqrt{27}}=\sqrt{\dfrac{6}{27}}\)

\(=\sqrt{\dfrac{6}{27}}\)

\(\mathrm{ Cancel \ \ \dfrac{6}{27} \ \ \ ; \ \ \dfrac{2}{9} }\)

\(=\sqrt{\dfrac{2}{9}}\)

\(\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b }},\:\quad \:a\ge 0,\:b\ge 0\)

\(=\sqrt{\dfrac{2}{9}}\)

\(\sqrt{9}=3\)

\(=\dfrac{\sqrt{2}}{3} \ \ === > \ \ \ Answer\)

\(\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

To verify if Tammy's answer is correct, we can calculate the product of 5/7 and 1 1/4 and compare it to 1 3/4.

First, let's convert 1 1/4 to an improper fraction:

1 1/4 = (4 * 1 + 1) / 4 = 5/4

Now, let's calculate the product of 5/7 and 5/4:

(5/7) * (5/4) = (5 * 5) / (7 * 4) = 25/28

The product of 5/7 and 1 1/4 is actually 25/28, not 1 3/4.

Therefore, Tammy's answer of 1 3/4 is incorrect.

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To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Hi ;-)

\(\frac{2xy}{5ac}:\frac{4xy^2}{15a^2c}=\frac{2xy}{5ac}\cdot\frac{15a^2c}{4xy^2}=\frac{3a}{2y}\\\\Answer: \ \text{D}\)

Answer:

\({ \underline{ \sf{D. \: \: \frac{3a}{2y} }}}\)

Step-by-step explanation:

\({ \sf{ \frac{2xy}{5ac} \div \frac{ {4xy}^{2} }{15 {a}^{2} c} }}\)

find the reciprocal :

\({ \sf{ = \frac{2xy}{5ac} \times \frac{15 {a}^{2}c }{4 {xy}^{2} } }} \\ \\ = { \sf{( \frac{2xy}{4 {xy}^{2} }) \times ( \frac{15 {a}^{2}c }{5ac} ) }} \\ \\ = { \sf{ \frac{1}{2y} \times 3a}} \\ \\ = { \sf{ \frac{3a}{2y} }}\)

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

The length of a side of the square would be 8.

Step-by-step explanation:

Answer:

The correct sequence of licenses that allow you to receive a full provisional license is C: limited provisional license, full provisional license, limited learner permit.

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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Answer:

Step-by-step explanation:

5x+2x+7=7x+7

No it is not

5x+7+2x

5x + 7x are like terms add them

7x + 7 is the answer

The amount raised by a booster club compared with the number of  raffle tickets sold shows a constant rate of change;

A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.

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overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

In two's complement representation, numbers are represented using a fixed number of bits. The most significant bit (MSB) is reserved to indicate the sign of the number, where 0 represents a positive number and 1 represents a negative number.

Overflow occurs in two's complement arithmetic when the result of an operation exceeds the range that can be represented with the available number of bits.

When overflow occurs, the result is truncated or wrapped around to fit within the bit representation. This wrapping around effectively causes the MSB to flip its value, changing the sign of the number. As a result, the number that was intended to be positive becomes negative in the two's complement representation.

For example, consider an 8-bit two's complement representation. The range for a signed 8-bit number is -128 to +127. If we add 1 to the maximum positive value of 127, overflow occurs because the result exceeds the range. The binary representation of 127 is 01111111, and adding 1 results in 10000000. Since the MSB changed from 0 to 1, the number is interpreted as -128 in two's complement representation.

In summary, overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Given,

The length of the rolling paper is 200 cm.

The breadth of the rolling paper is 40 cm.

Required:

The area of the rolling paper.

The area of the rolling paper is,

The area of the rolling paper in m^2 is,

Hence, the area of the rolling paper is 0.8m^2.

Your answer is option b)

The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.

Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes

Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours

Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)

Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.

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The work produced by the turbine is 6534.912 kW.

The AKE is 14450 kJ/kg and the APE is 1763.8 kJ/kg.

The enthalpy change of the steam is 816.679 kJ/kg.

(a) The work produced by the turbine can be calculated using the equation:

Work = Mass flow rate * (Specific enthalpy at inlet - Specific enthalpy at outlet)

Given that the mass flow rate is 8 kg/s and the specific enthalpy at the inlet is 3596.939 kJ/kg, while the specific enthalpy at the outlet is 2780.26 kJ/kg, we can calculate the work as follows:

Work = 8 kg/s * (3596.939 kJ/kg - 2780.26 kJ/kg) = 6534.912 kW

Therefore, the work produced by the turbine is 6534.912 kW.

(b) The AKE (Absolute Kinetic Energy) and APE (Absolute Potential Energy) can be calculated using the following equations:

AKE = (Velocity^2) / 2

APE = Height * g

Given that the output velocity is 170 m/s and the height difference is 180 meters, and assuming g = 9.81 m/s^2, we can calculate the AKE and APE as follows:

AKE = (170^2) / 2 = 14450 kJ/kg

APE = 180 * 9.81 = 1763.8 kJ/kg

Therefore, the AKE is 14450 kJ/kg and the APE is 1763.8 kJ/kg.

(c) The enthalpy change of the steam can be calculated by subtracting the specific enthalpy at the outlet from the specific enthalpy at the inlet:

Enthalpy change = Specific enthalpy at inlet - Specific enthalpy at outlet

Enthalpy change = 3596.939 kJ/kg - 2780.26 kJ/kg = 816.679 kJ/kg

Therefore, the enthalpy change of the steam is 816.679 kJ/kg.

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

The component of statistical methodology that encompasses the collection, organization, and summarization of data is referred to as descriptive statistics.

Descriptive statistics is a fundamental aspect of statistical methodology that focuses on the initial stages of data analysis. It involves the collection of data through various methods such as surveys, experiments, or observational studies. This data is then organized and structured in a systematic manner to facilitate a comprehensive understanding of its characteristics.

The first step in descriptive statistics is data collection. This can involve various techniques such as sampling, where a subset of the population is selected to represent the entire group. The collected data can be quantitative (numerical) or qualitative (categorical), depending on the nature of the study.

Once the data is collected, it needs to be organized in a meaningful way. This can involve sorting, categorizing, and arranging the data into different groups or categories. For quantitative data, measures such as frequency distributions, histograms, and scatter plots can be used to organize and display the data. For qualitative data, methods such as tables, charts, or graphs may be employed to summarize the information.

Finally, descriptive statistics involves summarizing the collected and organized data to extract key insights and characteristics. This can include measures such as central tendency (mean, median, mode), variability (range, variance, standard deviation), and correlation. These measures provide a concise summary of the data, enabling researchers to gain a better understanding of its overall patterns, trends, and distribution.

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Answer:

Step-by-step explanation:

Outlier mean a data point that is far away from the rest of points.

From the plots, the one at the lower left corner has a data point far left of the rest of points so that is the one with an outlier.

Answer:

Exterior Angle Property of a Triangle

Step-by-step explanation:

According to exterior angle property of a triangle , the measure of any one exterior angle of a triangle is equal to the the sum of measure of it's opposite interior angles.

The relationship between angles 1, 2 and 3 is that they follows exterior angle principle. Therefore, ∠3 = ∠2 + ∠1

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

In other word, the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles

Therefore, the angle 3 is related to angle 1 and 2(remote interior angles) by the exterior angles theorem. Mathematically, this can be represented as follows:

∠3 = ∠2 + ∠1

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Answer:

39 ft²

Step-by-step explanation:

Surface area of square pyramid:

Surface area of square pyramid = lateral surface area+ base area

 s = 3 ft

 l = 5 ft

  \(\sf \boxed{\text {\bf Surface area of square pyramid = $2sl +s^2$ }}\)

       s - side of the base square

       l- slant height

      Surface area = 2*3*5 + 3*3

                            = 30 + 9

                            = 39 ft²

to get the equation of any straight line, we simply need two points off of it, let's use the provided ones

\(f(5)=-1\implies \underline{(\stackrel{x}{5}~~,~~\stackrel{y}{-1})}\hspace{5em}f(0)=-5\implies \underline{(\stackrel{x}{0}~~,~~\stackrel{y}{-5})} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}} \implies \cfrac{-5 +1}{-5} \implies \cfrac{ -4 }{ -5 } \implies \cfrac{4 }{ 5 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{4 }{ 5 }}(x-\stackrel{x_1}{5}) \implies y +1 = \cfrac{4 }{ 5 } ( x -5) \\\\\\ y-1=\cfrac{4 }{ 5 }x-4\implies {\Large \begin{array}{llll} y=\cfrac{4 }{ 5 }x-3 \end{array}}\)

We can start solving this problem by using a system of equations. Let x be the selling price of a card and y be the selling price of a photo frame.

From the information given, we know that on the first day:

3x + 9y = 75 (1)

And on the second day:

8x + 5y = 67 (2)

Now we have two equations with two variables. To find the value of x and y, we can use either substitution or elimination method.

One possible way to solve for x and y is to use substitution method:

Solve equation (1) for x in terms of y:

x = (75 - 9y) / 3

Substitute this expression into equation (2) to eliminate x:

8((75 - 9y) / 3) + 5y = 67

Solving this equation for y:

y = 3

Now we can substitute this value of y back into equation (1) or (2) to find the value of x:

3x + 9(3) = 75

3x = 48

x = 16

So the selling price of a card is $16 and the selling price of a photo frame is $3.

Answer:

Photo frame = $7

Card = $4

Step-by-step explanation:

Define the variables:

Given information:

Create a system of linear equations using the given information and defined variables:

\(\begin{cases}3c + 9p = 75\\ 8c + 5p = 67\end{cases}\)

Rearrange the first equation to isolate c:

\(\implies 3c+9p=75\)

\(\implies 3(c+3p)=75\)

\(\implies \dfrac{3(c+3p)}{3}=\dfrac{75}{3}\)

\(\implies c+3p=25\)

\(\implies c+3p-3p=25-3p\)

\(\implies c=25-3p\)

Substitute the expression for c into the second equation and solve for p:

\(\implies 8c+5p=67\)

\(\implies 8(25-3p)+5p=67\)

\(\implies 200-24p+5p=67\)

\(\implies 200-19p=67\)

\(\implies 200-19p-200=67-200\)

\(\implies -19p=-133\)

\(\implies \dfrac{-19p}{-19}=\dfrac{-133}{-19}\)

\(\implies p=7\)

Therefore, the selling price of a handmade photo frame was $7.

Substitute the found value of p into the expression for c and solve for c:

\(\implies c=25-3p\)

\(\implies c=25-3(7)\)

\(\implies c=25-21\)

\(\implies c=4\)

Therefore, the selling price of a handmade card was $4.

After answering the presented question, we can conclude that probability Therefore, the probability of not selecting a white shirt is 16/24 = 2/3. So, the answer is (B) 2/3.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

There are 24 t-shirts in the basket, and 4 are navy, 12 are red, so the remaining (24 - 4 - 12) = 8 t-shirts must be white.

The probability of not selecting a white shirt can be found by dividing the number of non-white shirts by the total number of shirts in the basket.

The number of non-white shirts is 4 (navy) + 12 (red) = 16.

Therefore, the probability of not selecting a white shirt is 16/24 = 2/3.

So, the answer is (B) 2/3.

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