One employee of a computer store is paid a base salary of 2000 a month plus an 8% commision on all sales over 7000 during the month. how much must the employee sell in one month to earn a total of 4000 for the month

Answer:  V=8 (If solving for V)

Step-by-step explanation:

-3v+11=-8v+51    Move the variable to the left hand side and change its sign.

-3v+8v+11=51      Collect the like terms

5v=51-11              Divide both sides of the equation by 5

v=8

Hope this helps!!

\(-3v+11=-8v+51\)

1. add 3v to -3v, then add 3v to the other side. \(11=-8v+11+51+3v\)

2. add 11 and 51  \(11=-8v+62+3v\)

3. add 3v to -8v \(11=-5v+62\)

4. subtract 62 from 62, then subtract 62 from 11 \(-51=-5v\)

5. divide -5v by 5, then divide -51 by 5 \(-10.2=v\)

Answer: -10.2

The acceleration due to gravity is typically denoted as -32.2 ft/sec^2, as it acts in the opposite direction of the rocket's upward motion.

The given function "14001" seems to be incomplete or incorrect, as it does not properly represent the height of the rocket in feet, 2 seconds after the rocket is launched. However, I can provide you with a general explanation of how the rocket's height can be modeled using the given information.

To model the height of the rocket in feet, 2 seconds after launch, we need to consider its initial velocity and starting height.

The rocket's initial velocity is given as 275 ft/sec, which represents the rate at which it is ascending. This velocity will affect the rocket's upward motion.

Additionally, the rocket starts at a height of 3 feet above the ground.

To determine the rocket's height after 2 seconds, we need to take into account the initial velocity, the effect of gravity, and the time elapsed.

Without a specific function or equation, we cannot provide an exact answer. However, in general, we can use the formula for vertical displacement under constant acceleration:

Height = Initial height + (Initial velocity * time) + (0.5 * acceleration * time^2)

Given that the rocket starts at a height of 3 feet and the time is 2 seconds, we can calculate the height of the rocket using the appropriate values of acceleration and initial velocity.

It's important to note that the acceleration due to gravity is typically denoted as -32.2 ft/sec^2, as it acts in the opposite direction of the rocket's upward motion.

Using the formula mentioned above and the provided values, we can determine the height of the rocket 2 seconds after launch. However, without a valid function or additional information, we cannot provide a specific value for the rocket's height.

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The quantity of heat required to raise the temperature of 11.25 liters of water from 15°C to 80°C is approximately 10 kJ.

What is the conversion unit?

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

To calculate the quantity of heat required to raise the temperature of 11.25 liters of water from 15°C to 80°C, we can use the following formula:

Q = mcΔT

where Q is the quantity of heat, m is the mass of the substance, c is the specific heat capacity of water, and ΔT is the temperature change.

The specific heat capacity of water is 4.184 J/(g·°C), which means that it takes 4.184 joules of energy to raise the temperature of 1 gram of water by 1 degree Celsius.

To use this formula, we need to convert the volume of water (11.25 liters) to its mass in grams. The density of water is 1 g/mL, so 11.25 liters of water has a mass of:

11.25 liters x 1000 mL/liter x 1 g/mL = 11,250 grams

Now we can plug in the values into the formula:

Q = mcΔT

Q = (11,250 g) x (4.184 J/(g·°C)) x (80°C - 15°C)

Q = 10,029,840 J

Converting this to kilojoules (kJ) gives:

Q = 10,029,840 J ÷ 1000 = 10,029.84 kJ

Rounding this to 1 decimal place, we get:

Q = 10 kJ

Therefore, the quantity of heat required to raise the temperature of 11.25 liters of water from 15°C to 80°C is approximately 10 kJ.

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The distance from the airplane to the end of the runway will be 45.89 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

An airplane is 45 miles from the end of the runway, AB, and 9 miles high, AC, when it approaches the airport. Then the triangle ABC is a right-angle triangle. Then we have

AC² = AB² + BC²

AC² = 45² +  9²

AC² = 2025 + 81

AC² = 2106

AC = 45.89 miles

The distance from the airplane to the end of the runway will be 45.89 miles.

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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The solutions to the quadratic equation 22p² + 16p - 5 = 6p² are give as follows:

p = -5/4 and p = 1/4.

A quadratic equation is defined according to the rule presented as follows:

y = ax² + bx + c.

The solutions are given by the equation presented as follows:

They depend on the discriminant given by:

\(\Delta = b^{2} - 4ac\)

In this problem, the equation is given as follows:

22p² + 16p - 5 = 6p².

In standard format, it is given by:

16p² + 16p - 5 = 0.

Hence the coefficients are given as follows:

a = 16, b = 16, c = -5.

Then the discriminant is:

\(\Delta = 16^{2} - 4(16)(-5) = 576\)

The solutions are given as follows:

As fractions in simplest form, they are given as follows:

p = -5/4 and p = 1/4.

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Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer:

I would think J because they gained the same amount

Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution  3∫(x^3)(u^5) du.

To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.

Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.

Now, we can rewrite the original integral in terms of u as follows:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.

Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.

Simplifying further, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.

Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.

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Complete question:

evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)

The first step in solving using the substitution method is making an unknown value the subject of the formula.

The substitution method is one of the methods that is used to solve simultaneous equations. It involves making one unknown value the subject of the formula.

For example, given these simultaneous equations:

a + b = 10

2a + 5b = 20

The first step is to make either a or b the subject of the formula

a = 10 - b

or

b = 10 - a

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Answer:

Jorge needs 1/2 apple to make the snack.

Therefore by increasing  \(\alpha\) smoothing characteristics we can achieve minimum MSE which is good for forecasting in exponential smoothing.

Therefore the pattern of the data is a horizontal pattern in time series.

The given data can be summarized as follows:

Week Value

1 24

2 13

3 20

4 12

5 19

6 23

7 15

a) To calculate a two-week moving average, we first need to calculate the average of the first two weeks:

\(MA_{1}=\frac{24+13}{2}=18.5\)

Then we can calculate the moving average for the second week as follows:

\(MA_{2}=\frac{13+20}{2}=16.5\)

Similarly, we can calculate the moving averages for the rest of the weeks:

Week Value Two-Week Moving Average

1 24

2 13 18.5

3 20 16.5

4 12 16.0

5 19 15.5

6 23 21.0

7 15 19.0

The forecast for the fourth week is the moving average for the second week (16.5), and the forecast for the fifth week is the moving average for the third week (16.0), and so on. The forecast error is the difference between the forecast value and the actual value.

Week Value Two-Week Moving Average Forecast Forecast Error

1 24  

2 13 18.5  

3 20 16.5  

4 12 16.0 16.5 -4.5

5 19 15.5 16.0 3.0

6 23 21.0 15.5 7.5

7 15 19.0 21.0 -6.0

The mean squared error (MSE) is the average of the squared forecast errors:

MSE= \(\frac{(-4.5)^{2}+3^{2}+7.5^{2}+(-6)^{2}}{4}=33.375\)

The forecast for the eighth week is the moving average for the seventh week (19.0).

b) To calculate a three-week moving average, we first need to calculate the average of the first three weeks:

\(MA_{2}=\frac{24+13+20}{3}=19.0\)

Then we can calculate the moving average for the third week as follows:

\(MA_{3}=\frac{13+20+12}{3}=15.0\)

Similarly, we can calculate the moving averages for the rest of the weeks:

Week Value Three-Week Moving Average

1 24

2 13

3 20 19.0

4 12

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Without the specific values of f(x) and f'(x) at x = 4, we cannot calculate the exact value of ∫40xf′(x)dx. ∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx

= x[f(x)]|₀⁴ - ∫f(x)dx       = 4f(4) - 8.

To find the value of ∫40xf′(x)dx, we can use integration by parts. The formula for integration by parts is:

∫u dv = uv - ∫v du,

where u and v are functions of x.

Let's apply this formula to the integral in question, where u = x and dv = f'(x)dx:

∫40xf′(x)dx = x∫f′(x)dx - ∫(∫f′(x)dx) dx.

The second term on the right side of the equation can be simplified as follows:

∫(∫f′(x)dx) dx = ∫f(x)dx.

Now, we can rewrite the integral as:

∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx.

Since f(x) is given in the table, we can calculate ∫f(x)dx by integrating the values of f(x) over the interval [0, 4].

∫f(x)dx = ∫40f(x)dx = 8.

Therefore, the value of ∫40xf′(x)dx can be expressed as:

∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx

= x[f(x)]|₀⁴ - ∫f(x)dx

= 4f(4) - 8.

To determine the value of ∫40xf′(x)dx, we need the value of f(4), which is not provided in the question. Without knowing the specific values of f(x) and f'(x) at x = 4, we cannot calculate the exact value of ∫40xf′(x)dx.

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The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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To find the GCF of 20 and 16 using the distributive property, we need to break down the numbers into their prime factors.

20 = 2 x 2 x 5
16 = 2 x 2 x 2 x 2

The greatest common factor is 2 x 2 = 4.

To rewrite the sum of 20 + 16 using the GCF, we can factor out 4 from both numbers:

20 + 16 = 4 x 5 + 4 x 4

Using the distributive property, we can simplify this expression:

20 + 16 = 4(5 + 4)

Therefore, the GCF of 20 and 16 is 4, and the sum can be rewritten as 4(5 + 4).

The distributive property allows us to factor out a common factor from an expression. In this case, we found the GCF of the two numbers using prime factorization and then used the distributive property to simplify the sum. By factoring out the GCF, we were able to rewrite the sum in a more simplified form.

The GCF of 20 and 16 is 4, and the sum can be rewritten as 4(5 + 4) using the distributive property. Factoring out the GCF can help simplify expressions and make them easier to work with.

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The probability that Chauncey Billups misses his first free throw and makes the second is 0.1056. This probability is obtained by multiplying the probability of missing a free throw (0.12) with the probability of making a free throw (0.88). Answer is c) 0.1056.

To calculate the probability, we first determine that the probability of missing a free throw is 1 - 0.88 = 0.12, as Billups makes free throws 88% of the time.The probability that Chauncey Billups misses his first free throw and makes the second can be calculated by multiplying the probabilities of each event.

Given that he makes free throw shots 88% of the time, the probability of missing a free throw is 1 - 0.88 = 0.12.

To find the probability of missing the first shot and making the second, we multiply the probabilities: 0.12 * 0.88 = 0.1056.

Therefore, the correct answer is c) 0.1056.

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Answer:

Step-by-step explanation:

A median is a line that joins the angle vertex to the the point that is located at 1/2 the distance across the the line.

Where the medians meet is the centroid.

The centroid divides the median into a ratio of 2 to 1.

HM/ML = 2/1

ML = 20

HM / 20 = 2/1         Multiply both sides by 20

HM = 2 * 20

HM = 40

A triangle with two congruent sides(if they have the same shape and size) is not always a 45-45-90 triangle. So the given statement is false.

A 45-45-90 triangle is a special type of right triangle where the two legs (the sides adjacent to the right angle) are congruent, and the hypotenuse (the side opposite the right angle) is the square root of 2 times the length of the legs.

However, there are other triangles with two congruent sides that are not 45-45-90 triangles. For example, an isosceles triangle has two congruent sides but does not necessarily have a 45-degree angle. The angles of an isosceles triangle can vary depending on the specific lengths of the sides.

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer:

nosabo pana i need points brr

Upper

daysThe(a) The time for an individual to recover from an infectious disease, is estimated to be between 4.02 and 5.98 days. (d) The structured SIR model assumes homogeneous mixing, constant population, recovered immunity.

(a) To calculate the time for an individual to recover with a 95% confidence level, we can use the properties of the normal distribution. The 95% confidence interval corresponds to approximately 1.96 standard deviations from the mean in both directions.

Given:

Mean (μ) = 5 days

Standard deviation (σ) = 0.5 days

The confidence interval can be calculated as follows:

Lower limit = Mean - (1.96 * Standard deviation)

Upper limit = Mean + (1.96 * Standard deviation)

Lower limit = 5 - (1.96 * 0.5)

= 5 - 0.98

= 4.02 days

Upper limit = 5 + (1.96 * 0.5)

= 5 + 0.98

= 5.98 days

Therefore, the time for an individual to recover from the infectious disease with a 95% confidence level is between approximately 4.02 and 5.98 days.

(b) To simulate the epidemic using the SIR model, we need additional information about the transmission rate and the duration of infectivity.

(c) Without the transmission rate and duration of infectivity, we cannot determine the fraction of the total population that will have come down with the infectious disease once the epidemic is over.

(d) The structured model in this case is the SIR (Susceptible-Infectious-Recovered) model, which is commonly used to study the dynamics of infectious diseases. The major assumptions associated with the SIR model include:

Homogeneous mixing: The model assumes that individuals in the population mix randomly, and each individual has an equal probability of coming into contact with any other individual.

Constant population: The model assumes a constant population size, without accounting for birth, death, or migration rates.

Recovered individuals develop immunity: The model assumes that individuals who recover from the infectious disease gain permanent immunity and cannot be reinfected.

No vaccination or intervention: The basic SIR model does not incorporate vaccination or other intervention measures.

These assumptions simplify the model and allow for mathematical analysis of disease spread dynamics. However, they may not fully capture the complexities of real-world scenarios, and more sophisticated models can be developed to address specific contexts and factors.

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Answer:

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

The number of phones sold is 26 and the number of accessories sold is 30.

An equation is said to be linear if the maximum power of the variable is usually 1.  A linear equation with one variable has the standard form Ax + B = 0. In this case, x is the variable and A is the coefficient of x, and B is a constant.

In mathematical problems, 'x' stands for unknown value or quantity. Here we use the Linear equation concept to solve the problem.

Given that

Cameron earns an $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells.

On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold. ​

Let x and y be the number of phones and accessories

Given that

Cameron made a total of $361 in commission

=> 11x + 2.5y = 361  ----- (1)

Total number of phones and accessories sold

=> x + y = 56

Multiply by 11

=> 11x + 11y = 616 ----- (2)

Do (2) - (1)

=> 11x + 11y - ( 11x + 2.5y) = 616 - 361

=> 11x + 11y - 11x - 2.5y = 255

=> 8.5y = 255

=> y = 255/8.5

=> y = 30  

Substitute y = 30 in x + y = 56  

=> x + 30 = 56

=> x = 26

Therefore,

The number of phones sold is 26 and the number of accessories sold is 30.

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The correct interpretation for a 99% confidence interval estimate is (a) "we are 99% confident that the true population mean is covered by the calculated confidence interval."

This means that if we were to repeat the sampling procedure many times and calculate a confidence interval each time, about 99% of these intervals would contain the true population mean. It does not mean that there is a 99% probability that the population mean lies within the calculated interval, and it does not guarantee that the calculated interval contains the true population mean. The correct interpretation for a 99% confidence interval estimate is (a) "we are 99% confident that the true population mean is covered by the calculated confidence interval."

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Answer:

Step-by-step explanation:

we want this to be in one inch units.   we are told 3/10  of an inch is 7/8 of a mile.  so use the reciprocal of 3/10 or   10/3  to get to one.

7/8* 10/3 = 70/24   mile is equal to one inch.

Now figure out how much 70/24th miles is.

2.91666666 miles = 1 inch

Answer: 3.25 pounds

Step-by-step explanation:

Answer:

$13.00 / $4.00 per pound = 3.25 pounds

hope that helped <3

Answer:

7

Step-by-step explanation:

njshhtb jahhhdvjsjjbvgshh shhkakhgsv jjjjgfe

Answer:

sinB=p/h

sin45=8/y

1/√2=8/y

y=8√2in

The results in part (a) and part (b) are specific to the given initial conditions of the ball being thrown straight into the air with an initial velocity of 45 feet per second from an initial height of 100 feet.

a) To find the maximum height of the baseball, we need to determine the vertex of the quadratic equation. The vertex can be found using the formula x = -b/(2a), where a, b, and c are coefficients of the quadratic equation. In this case, a = -10 and b = 80. Plugging these values into the formula, we have x = -80/(2*(-10)) = 4 seconds. Now we can find the maximum height by substituting x = 4 into the equation: f(4) = -10(4)^2 + 80(4) + 5 = 165 feet. Therefore, the maximum height of the baseball is 165 feet.

b) To determine when the ball attains its maximum height, we use the value of x that we found in part (a), which is x = 4 seconds.

For the second part of the question with the given equation h(t) = -16t^2 + v_0t + h_0, where h(t) is height, t is time, v_0 is initial velocity, and h_0 is initial height:

a) The ball's maximum height can be found by using the same process as in part (a) of the previous question. Plugging in the values v_0 = 45 and h_0 = 100 into the equation, we get h(t) = -16t^2 + 45t + 100. To find the maximum height, we calculate the vertex using the formula x = -b/(2a). In this case, a = -16 and b = 45. Plugging these values into the formula, we have x = -45/(2*(-16)) ≈ 1.40625 seconds. Now we substitute this value into the equation: h(1.40625) = -16(1.40625)^2 + 45(1.40625) + 100 ≈ 180.15625 feet. Therefore, the ball's maximum height is approximately 180 feet.

b) To determine when the ball reaches its maximum height, we use the time value found in part (a), which is approximately t = 1.40625 seconds.

c) To find when the ball strikes the ground, we set h(t) = 0 and solve for t. In the equation h(t) = -16t^2 + 45t + 100, we have -16t^2 + 45t + 100 = 0. Solving this quadratic equation, we find two values for t: t ≈ 0.625 seconds and t ≈ 5.625 seconds. However, since the ball is thrown into the air, we only consider the positive solution. Therefore, the ball will strike the ground at approximately t = 5.625 seconds.

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We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.

Option D is correct because it accurately interprets the meaning of a 95% confidence interval.

Option A is incorrect because we cannot make a statement about all employed adults, only about the sample of 1,501 employed adults that was surveyed.

Option B is incorrect because the probability of obtaining a mean between 41.18 hours and 42.63 hours applies only to the specific sample of 1,501 employed adults that was surveyed, not to all possible samples.

Option C is incorrect because the statement refers to 95% of all possible samples, which is not the same as the 95% confidence interval calculated for the specific sample of 1,501 employed adults that was surveyed.

Option D is the correct interpretation of the confidence interval. It means that if we were to take many samples of 1,501 employed adults from the population and calculate a 95% confidence interval for each sample, about 95% of those intervals would contain the true population mean. In other words, we can be 95% confident that the true population mean falls between 41.18 hours and 42.63 hours.

Option E is incorrect because we cannot make a statement with confidence about the true population mean, only about the sample mean.

Hence option D is correct.

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