unit 7 test polygons and quadrilaterals

Answer:

a

Step-by-step explanation:

The commission rate exists at $8,493 with a rate of 9.5%.

Jorge earns 9% from all his sales, so his commission exists

89400 × 0.09 = $8046

Harris made $447 more than that, so his commission exists

8046 + 447 = $8493

To estimate his commission rate, we can utilize the subsequent equation

89400 × rate percentage = 8493

Rate percentage = 8493 / 89400

Rate percentage = 0.095

Rate percentage = 9.5%

So Harris' commission exists at $8,493 with a rate of 9.5%.

Therefore, the commission rate exists at $8,493 with a rate of 9.5%.

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The value of x, which represents the cost of each carton of ink is $63.

Let's break down the given information:

The subscription fee for the printer ink service is $230.

The company paid a total of $1364, which includes the subscription fee.

The company purchased 18 cartons of ink.

To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:

Total payment - Subscription fee = Cost of ink cartridges

$1364 - $230 = $1134

Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:

Cost of ink cartridges / Number of cartridges = Cost per cartridge

$1134 / 18 = $63

Therefore, the value of x, which represents the cost of each carton of ink, is $63.

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Answer:

rise= -2 run= -4 slope= -1/2

Step-by-step explanation:

slope= rise/run

since rise=-2 and run=-4, slope=-2/4, but we have to simplify, so slope=-1/2

McDonald's uses Collaborative Planning, Forecasting, and Replenishment (CPFR) to optimize its supply chain operations, employing time series and linear trend forecasting for accurate demand projections and efficient inventory management.

In conclusion, McDonald's uses CPFR and time series/linear trend forecasting to optimize the supply chain, improve inventory management, and enhance customer satisfaction.

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Answer:

18 combinations

Step-by-step explanation:

thank u

Answer:

ponganmelo en español no en inglés por Fis

The ladders would be the same height. If the houses are the same and the ladders are placed the exact same distance from the houses then they would both go to the same height/distance

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

x=127 y=30

Step-by-step explanation:

angle G is congruent to angle L so you would set them equal.

angle J is congruent to angle O so set them equal

I think

Answer:

15%

Step-by-step explanation:

GIven data

Initial population=  354,000

Final population=407,100

%Error= Final- Initial/initia*100

%Error= 407,100- 354,000/ 354,000*100

%Error= 53100/ 354,000*100

%Error=0.15*100

%Error=15%

Hence the error is 15%

The smallest value of n for which the nth term of the geometric sequence with first term 3/4 and second term 15 is divisible by one .

We want to find the smallest value of n for which the nth term of the sequence is divisible by one million. In other words, we want to find the smallest value of n such that 10^6 divides the nth term of the sequence. We can rewrite this condition as (3/4)(20)^(n-1) = k*10^6, where k is an integer. Dividing both sides by 10^6 and simplifying, we get (3/4)(2/5)^(n-1) = k/125. We want to find the smallest value of n such that k/125 is an integer. Since 3 and 125 are relatively prime, k must be a multiple of 125 for k/125 to be an integer.

Therefore, we can write k = 125m, where m is an integer. Substituting this into the previous equation and simplifying, we get (2/5)^(n-1) = (4/15)m. Taking the logarithm of both sides, we get (n-1)log(2/5) = log(4/15) + log(m). Since log(2/5) is negative, we can divide both sides by log(2/5) and change the direction of the inequality to get n-1 >= (-1/log(2/5))(log(4/15) + log(m)).

Therefore, the smallest value of n for which the nth term of the sequence is divisible by one million is the smallest integer greater than or equal to (-1/log(2/5))(log(4/15) + log(m)) + 1. We want to choose m so that this expression is minimized. Since log(4/15) is negative and log(m) is non-negative, the smallest value of the expression is achieved when log(m) = 0, which corresponds to m = 1. Therefore, the smallest value of n for which the nth term of the sequence is divisible by one million is the smallest integer greater than or equal to (-1/log(2/5))(log(4/15) + log(1)) + 1, which simplifies to 24.

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The rate of change of the function f(x, y) = 4xy + y² at the point (1, 3) in the direction V = 47 - 7 is -20. The direction of the maximum rate of change of f at (1, 3) is in the direction of vector (4, 1). The maximum rate of change is 25.

To find the rate of change of f(x, y) = 4xy + y² at the point (1, 3) in the direction V = 47 - 7, we first need to calculate the gradient vector ∇f(x, y). The gradient vector represents the direction of steepest ascent.

∇f(x, y) = (df/dx, df/dy) = (4y, 4x + 2y)

Now, substitute the given point (1, 3) into the gradient vector:

∇f(1, 3) = (4(3), 4(1) + 2(3)) = (12, 10)

Next,  need to find the unit vector in the direction of V = 47 - 7. To obtain the unit vector, we divide V by its magnitude:

|V| = √(4² + 1²) = √17

Unit vector in the direction of V: (4/√17, 1/√17)

The rate of change is given by the dot product of the gradient vector and the unit vector:

Rate of change = ∇f(1, 3) · (4/√17, 1/√17) = (12, 10) · (4/√17, 1/√17) = (48/√17 + 10/√17) = 58/√17 = -20

Therefore, the rate of change of f at (1, 3) in the direction V = 47 - 7 is -20.

To determine the direction of maximum rate of change at (1, 3), we look for the direction vector that maximizes the dot product with ∇f(1, 3). This can be achieved by finding the unit vector in the same direction as ∇f(1, 3):

Unit vector in the direction of ∇f(1, 3): (∇f(1, 3)/|∇f(1, 3)|) = (12/√244, 10/√244) = (4/√61, 1/√61)

Hence, the direction of the maximum rate of change of f at (1, 3) is in the direction of the vector (4/√61, 1/√61).

To calculate the maximum rate of change, we need to find the magnitude of ∇f(1, 3):

|∇f(1, 3)| = √(12² + 10²) = √244

Therefore, the maximum rate of change of f at (1, 3) is |∇f(1, 3)| = √244 = 2√61 = 25.

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Answer:

a

Step-by-step explanation:

\(6x+4=20-2x\)

Add 2 to each side

\(8x+4=20\)

Subtract 4 from each side

\(8x=16\)

Divide 8 by each side

\(x=2\)

Answer:

a

Step-by-step explanation:

Your goal is to isolate the variable(x). If you subtract 4 from the left side and right side, then you are left with , 6x=16-2x. Then you add 2x to both sides to get 8x=16. Lastly divide both sides by 8 to get x=2. Hope this helps :)

Estimating mixed numbers may not be a good idea in situations that require a high level of accuracy or precision.

Here's an example scenario:

Let's say you're a chef working in a fine dining restaurant, and you're creating a complex recipe that requires precise measurements. One of the ingredients listed in the recipe is 1 and 3/4 cups of flour. However, the measuring cup you have available is not finely calibrated, making it difficult to accurately measure the exact amount.

In such a situation, estimating the mixed number 1 and 3/4 cups could lead to imprecise results. If you decide to estimate and round it up to 2 cups, you may end up adding more flour than the recipe actually requires. This could throw off the balance of the recipe, affecting the texture, taste, and overall outcome of the dish.

In culinary applications, precision is often crucial for achieving the desired results. Using estimated measurements could lead to inconsistencies and potentially ruin the dish's taste, texture, or presentation. Therefore, it is advisable to use more accurate measuring tools or techniques, such as weighing the ingredients or using a calibrated measuring cup, to ensure precise measurements in such situations.

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Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

Answer:

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Step-by-step explanation

The limit of the sequence as n approaches infinity is ln(8). The sequence converges, and the limit is ln(8).

To determine whether the sequence given by an = ln(8n² + 9) − ln(n² + 9) converges or diverges, we can examine the behavior of the terms as n approaches infinity.

Taking the limit as n approaches infinity, we have:

lim(n→∞) ln(8n² + 9) − ln(n² + 9)

We can simplify this expression using logarithmic properties. The natural logarithm of a quotient is equal to the difference of the logarithms:

= lim(n→∞) ln[(8n² + 9)/(n² + 9)]

Now, let's analyze the behavior of the numerator and denominator as n approaches infinity:

As n becomes larger and larger, the higher-order terms dominate. In this case, the leading term in both the numerator and denominator is n².

In the numerator, 8n² dominates, and in the denominator, n² dominates. Therefore, as n approaches infinity, the ratio (8n² + 9)/(n² + 9) approaches 8.

Taking the natural logarithm of 8, we have ln(8).

Therefore, the limit of the sequence as n approaches infinity is ln(8).

Hence, the sequence converges, and the limit is ln(8).

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Option D

The given expression is:

Simplify the numerator:

Simplify the denominator:

The complete expression becomes:

Answer:

3.30192724889

Step-by-step explanation:

Answer:

\(v=\sqrt[3]{36}\)

Step-by-step explanation:

\(v^3=36\\\\\sqrt[3]{v^3}=\sqrt[3]{36}\\\\v=3.30192724...\\\\OR\\\\v=\sqrt[3]{36}\)

Hope this helps.

Answer:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.

So, a one-way ANOVA would be used.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}\)

Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.

Use MS-Excel to perform the ANOVA test.

Go to Data – Data Analysis – Anova: Single Factor

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-test statistic value is, F = 5.143.

The p-value of the test is, p-value = 0.072.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.072 > α = 0.05

The null hypothesis will not be rejected.

Conclusion:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Answer:

19 km per hour

Step-by-step explanation:

divide 45.6 by 2.4, since 2.4 divided by itself is 1.

A 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.

A commercial vessel that is pulling, pushing, hauling aboard, or any mixture of pulling, pressing, or hauling alongside, is referred to as a towing vessel.

Thus, a 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.

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The arithmetic average return is probably too high for longer periods and the geometric average is probably too low for shorter periods.

When we look at historical returns, the difference between the geometric and arithmetic average returns isn't too hard to understand.

To put it slightly differently, the geometric average tells you what you actually earned per year on average, compounded annually. The arithmetic average tells you what you earned in a typical year. You should use whichever one answers the question you want answered. A somewhat trickier question concerns forecasting the future, and there's a lot of confusion about this point among analysts and financial planners.

Now, If we have estimates of both the arithmetic and geometric average returns, then the arithmetic average is probably too high for longer periods and the geometric average is probably too low for shorter periods.

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Answer:

? = 280

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 20(x)

Replacing and solving for y (number of cookies)

y = 120 + 20(8)

y = 120+160 = 280  cookies

The missing value in the table is⇒ ? = 280

Feel free to ask for more if needed or if you did not understand something.

Answer:

n > 10 meaning, n is greater than 10

Step-by-step explanation:

Two times a number  :  2n

Less 4  :  -4

2n-4

Greater than the same number :  >n

Plus 6  :  +6

> n+6

2n-4 > n+6

To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.

2n-10 > n

Then, subtract 2n from both sides

-10 > -n

Now, divide by -1

10 < n

So, n is greater than 10

To solve the expression we must know about expressions and like terms.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The final solution of the expression is 4x + 3y + 6z.

Given to us

Simplification of the above equation can be done in the following manner,

1.   Only combine terms that contain the same variable.

2.  To add like terms, add the coefficients, not the variables. First, add

    5x+(-x).

            5x + (-x) + 3y + 6z

3. The simplified expression is 4x + 3y + 6z.

             4x + 3y + 6z

Hence, the final solution of the expression is 4x + 3y + 6z.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

To plot the line through the point, plot the point. Then find another point that has the given "rise" and "run". Draw the line through the two points.

__

The given point is (-7, -4). Locate that on the graph.

The slope is given as -2/3. This is the ratio of "rise" to "run", so it means the "rise" will be -2 for each "run" of 3. (rise/run = -2/3)

The rise is the vertical change. So, you want your second point to be 2 units below the given point. Its y-coordinate will be -4-2 = -6.

The run is the horizontal change. Your second point will be 3 units to the right of the given point, so its x-coordinate will be -7+3 = -4. Now, you can plot the point (-4, -6) and draw your graph through these two points.

Answer:

20 people participated in the survey.