What is the solution set of |-x| = -10?

(10)
7-10)
{-10, 10)
no solution

Answer:

n²+7n=n(7+n)

Step-by-step explanation:

Using the distributive property on the right side of the equation will make both sides of the equality equal.

In the given stem-and-leaf plot, we can conclude that there are at least 5 outliers

The number of outliers in the given stem-and-leaf plot can be determined by identifying values that are significantly higher or lower than the majority of the data.

To find the number of outliers in the stem-and-leaf plot, we need to analyze the data distribution and identify values that deviate significantly from the rest of the scores.

Looking at the stem-and-leaf plot, we observe that the majority of the scores are concentrated between 20 and 90. The numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10 represent the tens digit of the scores, while the leaves represent the ones digit.

Upon examining the plot, we notice that there are a few values that stand out from the rest. These values are 00, 01677, 6899, 233569999, and 01268. Outliers are typically defined as values that fall outside the "typical" range of the data, and these values appear to deviate significantly from the majority of the scores.

To determine the exact number of outliers, we need to apply specific criteria. One common method is to use the 1.5 × IQR (interquartile range) rule. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data. Any values below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR are considered outliers.

In this case, we don't have the exact raw data to calculate the quartiles and IQR. However, based on visual inspection of the stem-and-leaf plot, we can still identify the values mentioned earlier as outliers due to their significant deviation from the majority of the scores.

Therefore, in the given stem-and-leaf plot, we can conclude that there are at least 5 outliers

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Answer:

-5

Step-by-step explanation:

Answer:

90.7 > 9.008

Step-by-step explanation:

Answer:

2. 90.7> 9.008

aren't it

Answer:

3/50

Step-by-step explanation:

The experimental probability that a person selected at random is going to City B is 19/50.

Experimental probability is a probability that is determined on the basis of a series of experiments.

The table shows the results of a survey of 100 people selected at random at an airport.

The total number of responses is;

= 24 + 38 + 14 +22 +2

= 100

The experimental probability that a person selected at random is going to City B is given by;

\(\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}\)

Hence, the experimental probability that a person selected at random is going to City B is 19/50.

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At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

What is aircraft?

A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.

As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.

Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

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The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

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sorry bro i let my brother try to solve random problems on here

Answer:

\(x=-6,\: x=1\)

Step-by-step explanation:

\((x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1\)

Answer:

D. the incenter

Step-by-step explanation:

Hope this helps

Answer:

D. the incenter

Step-by-step explanation:

Because it is the "Correct Answer"

To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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Answer:

x<-10

Step-by-step explanation:

10-2.5x>35

2.5x>10-35

2.5x>-25

x>-25/2.5

x>-10

x<-10

Answer:

x < -10

Step-by-step explanation:

-2.5x > 35-10

-2.5x > 25

-2.5x > 25/-2.5

x > -10

You have to switch the sign because you divided it by negative

x<-10

HOPE THIS HELPS :)

Step-by-step explanation:

http://nwhsgeometry.weebly.com/uploads/3/9/8/7/39872773/unit_10_review_-_answer_key.pdf

(a) There is no extreme value of A subject to the given constraint,

(b) For x = 0, y + z² ≤ 16.

y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.

For x = ±y, z = 4 - y².

y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.

When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.

Therefore, one should exclude the value of zero from the domain of the function or expression.

In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.

Let's find the partial derivatives of A with respect to x, y, and z.

∂A/∂x = 3

∂A/∂y = 2y - 2 = 2(y - 1)

∂A/∂z = 0

Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.

\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)

Substituting the values of the partial derivatives, we get:

\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)

The second and third equations are contradictory. So, under the given constraint, A has no extreme value.

In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.

Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.

We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.

2x = λ(2x),

2y = λ(1),

2z = λ(2z).

Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.

Substituting the values of x and λ from the first and second equations into the third equation, we get:

z = 4 - y² or z = 0.

Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:

Case 1: x = 0, y + z² ≤ 16.

So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.

Case 2: x = ±y, z = 4 - y².

So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.

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Answer:

6

Step-by-step explanation:

1)

-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]

2)

NOW, Simple simplify....

Answer:

B

Step-by-step explanation:

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

The number of freshmen that are students is 738

Let y represent the number of students that are freshmen

The freshmen class is made up of 480 female students

This number represents 65% of the freshmen class

Therefore the total number of students that are freshmen can be calculated as follows

y × 65/100= 480

65y/100= 480

Cross multiply both sides

65y= 480 × 100

65y= 48000

y= 48000/65

y= 738.4

≅ 738

Hence 738 students are freshmen

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Answer:

Step-by-step explanation:

answer is c

Answer:

The answer is B, the second one on your screen. I hope I wasn't too late! :)

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

Rewriting 11,000,000 as a power of 10 using scientific notation is: 1.1 * 10⁷

A number is written in scientific notation whenever a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 * 10^8.

Now, we want to write the number 11000000 as a power of 10. Using the concept of scientific notation, we have:

11000000 = 1.1 * 10⁷

That is the final expression of the given number as a power of 10

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Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.

To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.

Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:

Amount to borrow = Total cost - $10.00

Amount to borrow = C - $10.00

By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.

Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.

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Step-by-step explanation:

it C but if it not please don't blame me

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

85, 91, 83, 78, 79, 64, 81, 97

Ordered data : 78, 79, 81, 83, 85, 91, 97

Mean:

Σx / n =

n = sample size = 8

(64+78+79+81+83+85+91+97) / 8

= 658 / 8

= 82.25

Median = 1/2(n+1)th term

1/2(8+1)th term = 1/2 * 9 = 4.5th term

(4th term + 5th term) /2 = (81 + 83) / 2 = 82

Mode = 85, 91, 83, 78, 79, 64, 81, 97

Outlier:

Lower = Q1 - 1.5(IQR)

Upper = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 78.5 ; Q3 = 88 ;

IQR = (Q3 - Q1)

(88 - 78.5) = 9.5

Outlier :

78.5 - 1.5(9.5) = values < 64.25

88 + 1.5(9.5) = values > 102.5

Hence. Outlier is 64

Removing the Outlier :

Data = 78, 79, 81, 83, 85, 91, 97

Mean = 84.85

Median = 83

Based on the result, the median is the best measure of central tendency for the data:

O sin(0.0005) ≈ 0.0005. The line tangent to the graph of f(x) = sin x at (0,0) is y = x.

The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). This means that the point (0,0) is on the line y = x and the slope of the line y = x is equal to the derivative of the function f(x) = sin x evaluated at x = 0. The slope of the line y = x is 1, so the derivative of f(x) = sin x evaluated at x = 0 is 1.

The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. This is because the first derivative of sin x evaluated at x = 0 is 1, which is the same as the slope of the line y = x. Therefore, the tangent line to the graph of f(x) = sin x at (0,0) is y = x.

Finally, O sin(0.0005) ≈ 0.0005. This is because sin x is approximately equal to x for small values of x. When x = 0.0005, sin x is approximately equal to 0.0005. Therefore, O sin(0.0005) ≈ 0.0005.

In summary, the line tangent to the graph of f(x) = sin x at (0,0) is y = x. The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. O sin(0.0005) ≈ 0.0005.

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We have 1 = C(0), which implies that C is undefined.Let x = 2. Then, we have 1 = B(0), which implies that B is undefined.It is impossible to find real numbers a and b that satisfy the equation 1 / (x-1)^2(x-2) = a / (x-1)^2 + b / (x-2).

Let's prove that there are no real numbers a and b that make the following partial fraction decomposition true: 1 / (x-1)^2(x-2

= a / (x-1)^2 + b / (x-2)We know that a and b are real numbers and that the denominators x - 1 and x - 2 are linear factors. Therefore, the partial fraction decomposition above is valid and true for all real numbers x, except for x

= 1 and x

= 2, which make the denominators zero and create a singularity.The denominator of the given rational function can be factored as follows: 1 / (x-1)^2(x-2)

= A / (x-1) + B / (x-1)^2 + C / (x-2), where A, B, and C are constants.Let's find A, B, and C by adding the three fractions together and equating the numerators of both sides of the equation:1

= A(x-1)(x-2) + B(x-2) + C(x-1)^2Let x

= 1. We have 1

= C(0), which implies that C is undefined.Let x

= 2. Then, we have 1

= B(0), which implies that B is undefined.It is impossible to find real numbers a and b that satisfy the equation 1 / (x-1)^2(x-2)

= a / (x-1)^2 + b / (x-2).

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Given: The dimension of the right-trinagle as

To Determine: The second leg of the triangle to the nearest tenth

Solution:

Let us represent the given using a right-triangle

The hypothenuse is the logest side and the side facing the right angle

Applying pythagoras theorem which state that the square of the hypothenuse is equal to the sum of the squares of the other sides

Let the other leg be y

Therefore

Hence, the second leg of the triangle is 20.8 inches rounded to the nearest tenth

The standard normal distribution has the largest variance.

The variance of a normal distribution determines the spread or dispersion of the data.

A larger variance indicates a wider spread of values around the mean. The standard normal distribution is a specific case of the normal distribution with a mean of 0 and a variance of 1. Since the variance is fixed at 1 for the standard normal distribution, it has the largest variance compared to any other normal density with different variances.

The variance of a normal distribution measures how much the data values deviate from the mean.

It is calculated as the average of the squared differences between each data point and the mean. A higher variance implies a greater dispersion of values, indicating a wider range of possible outcomes.

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Answer:

-0.11111111111

Step-by-step explanation:

Answer:

-1/9

Step-by-step explanation: