A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.

The identity matrix of C is invertible, when its determinant is zero.

A matrix is a collection of numbers arranged in rows and columns. In linear algebra, we often work with square matrices, which are matrices with the same number of rows and columns.

Here we have given that for which numbers c is this matrix not invertible.

Here we have to consider that an important property of a square matrix is its invertibility, which determines whether or not the matrix can be "reversed" to get back to the identity matrix.

Therefore, the number "c" for which the matrix is not invertible is when the determinant of the matrix is zero. In other words, the matrix is singular and has no inverse. This can occur when the rows of the matrix are linearly dependent, meaning that one row can be written as a linear combination of the other rows. When this happens, the matrix collapses to a lower-dimensional space, and its determinant becomes zero.

In conclusion, a matrix is not invertible when its determinant is zero, and this is because the matrix has linearly dependent rows and collapses to a lower-dimensional space.

Complete Question:

For which three numbers c is this matrix not invertible, and why not?

\(A = \begin{bmatrix}2 &c &8 \\ c& c &7 \\ c&c & c\end{bmatrix}\)

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Answer:

-3, -2, or -1

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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Answer:

the answer should be C,E please give brainliest

Step-by-step explanation

Answer:

C. 360

E. 720

Step-by-step explanation:

note: 2pi radians = 360 degrees.

Cos(x) = 1  whenever x = 2k pi where k is an integer, thus

This translates to

cos(x) = 1 when x=0, 360, 720, 1080, ... degrees.

Between 270 and 810, the angles that satisfy cos(x) = 1 are

360 and 720.

So choose C and E

Perimeter of Rectangle is 44m

A perimeter is a closed path that encompasses, encircles, or delineates a one-dimensional length or a two-dimensional shape.

According to the given information

Area of Rectangle = l × b

Area of Rectangle = 105 \(m^{2}\)

Length of one side = 7 m

Let the length of the adjacent side = b

Area of Rectangle given = 7 × b

                     105   = 7 × b

                       b    =  \(\frac{105}{7}\)

                       b   = 15 m

Perimeter of Rectangle given = 2( l + b )

                                        = 2 ( 7 + 15 )

                                        = 2 × 22

                                        = 44m

Perimeter of Rectangle is 44m

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Explanation

Step 1

2 lines are parallel if they have the same slope, so

a) let's check the slope of the given line

it is in the form

so, the slope of the line we are looking for is 8

Step 2

Now, to find the equation of the line, we can use this expression

then, Let

replace,

therefore, the answer is

I hope this helps you

Answer:

4

Step-by-step explanation:

Answer:

2.51

2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.

To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:

1 mile = 1609.34 meters

1 hour = 60 × 60 = 3600 seconds

Given the skater's rate of 5.6 mph:

Speed in m/s

= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)

≈ 2.51 m/s

So, the skater is traveling at a rate of approximately 2.51 meters per second.

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Answer:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)

Step-by-step explanation:

Create a blank frequency table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

If 79% of the participants played pickleball, then 21% of the participants do not play pickleball.

Input these percentages into the table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

Of those who play pickleball, 6% are female.

Therefore, of those who play pickleball, 94% must be male.

The total percentage of those who play pickleball is 79%, so find 6% and 94% of 79%:

\(\begin{aligned}\textsf{Plays pickleball (female)}&=6\% \; \sf of \; 79\%\\&=0.06 \times 0.79\\&=0.0474\\&=5\%\; \sf (nearest\;percent)\end{aligned}\)

\(\begin{aligned}\textsf{Plays pickleball (male)}&=94\% \; \sf of \; 79\%\\&=0.94 \times 0.79\\&=0.7426\\&=74\%\; \sf (nearest\;percent)\end{aligned}\)

Input the found percentages into the table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

Of those who do not play pickleball, 21% are male.

Therefore, of those who do not play pickleball, 79% must be female.

The total percentage of those who do not play pickleball is 21%, so find 21% and 79% of 21%:

\(\begin{aligned}\textsf{Does not play pickleball (male)}&=21\% \; \sf of \; 21\%\\&=0.21 \times 0.21 \\&=0.0441\\&=4\%\; \sf (nearest\;percent)\end{aligned}\)

\(\begin{aligned}\textsf{Does not play pickleball (female)}&=79\% \; \sf of \; 21\%\\&=0.79 \times 0.21\\&=0.1659\\&=17\%\; \sf (nearest\;percent)\end{aligned}\)

Input the found percentages into the table and calculate the column totals:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)

Answer:

c

Step-by-step explanation:

i took the test :)

Answer:

A and C

Step-by-step explanation:

Both angles j and m share one common side and vertex with angle k. Angle n only shares a vertex and not a side with angle k, so it is not adjacent.

5.5 ( 2 - 6x ) - 2.5x

open the parenthesis

) - 2.5x

open the parenthe

The angle of incidence can be found using Snell's law: n1 * sin(theta1) = n2 * sin(theta2), where n1 and n2 are the indices of refraction of the two mediums and theta1 and theta2 are the angles of incidence and refraction, respectively.

a. The angle of incidence can be found by rearranging Snell's law and substituting the given values:

n1 * sin(theta1) = n2 * sin(theta2)

sin(theta1) = (n2 / n1) * sin(theta2)

sin(theta1) = (1 / 1.31) * sin(38 degrees)

theta1 = arcsin((1 / 1.31) * sin(38 degrees))

b. To find the angle of refraction in the water, we need to use Snell's law again, this time with the indices of refraction of ice and water:

n1 * sin(theta1) = n2 * sin(theta2)

sin(theta2) = (n1 / n2) * sin(theta1)

sin(theta2) = (1.31 / n2) * sin(theta1)

theta2 = arcsin((1.31 / n2) * sin(theta1))

We don't have the specific index of refraction of water in this question, so we cannot provide a numerical value for the angle of refraction in the water without that information.

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Answer:

That state is Illinois.

Answer:

4, tell me if wrong

Step-by-step explanation:

c² = b² + a²

now, 5x5 = 25

3 x 3 = 9

25 - 9 = \(\sqrt{16\\}\)

4

Answer:

Front = 30

Back = 30

Right = 30

Left = 30

Bottom = 25

Top = 16

Total = 161

Let me know if this helps!

Since a reflection flips the figure across average line and changes the figure's orientation, it does not maintain congruence.

In order to produce a new figure on a coordinate grid, a figure must undergo a transformation. When two figures are congruent, their size and shape match. A transformation that doesn't alter the figure's size or shape maintains congruence. Congruence is lost through the usual change of reflection. This is such that the figure's orientation is altered by flipping it over a line. For instance, if a figure is mirrored over the x-axis, the initial orientation of the figure will be reversed. This is because the reflection operation flips the figure over the x-axis, causing the orientation to be reversed. Other transformations that do not preserve congruence include enlargement and rotation. Enlargement and rotation both change the size and orientation.

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Answer:

-7 and -10 are solutions, 5 and 0 aren't

Step-by-step explanation:

For the inequality, -4 + 5y will have to be less than or equal to -39. So, y would have to be a negative number. That would remove 5 as a possible solution.

Next, we can calculate the solution for others. For 0, we can multiply it by 5 and get 0. Then, add it to -4 which would get us -4. This is greater than -39 so 0 isn't a solution.

If we solve for -7, we'll get: -4 + 5(-7) -> -4 - 35 -> -39. This is equal to -39 so it is a solution. If we solve for -10, we get: -4 + 5(-10) -> -4 - 50 -> -54. This is less than -39 so it is a solution.

A change in the price of chicken, the good's own price, will cause a movement along the demand curve for chicken, a normal good, resulting in an increase in the quantity demanded.

The demand curve for chicken represents the relationship between the price of chicken and the quantity of chicken demanded by consumers. The law of demand states that there is an inverse relationship between the price of a good and the quantity demanded, holding all other factors constant. In other words, as the price of chicken decreases, the quantity demanded of chicken increases, and vice versa.

A movement along the demand curve for chicken occurs when there is a change in the price of chicken. When the price of chicken decreases, ceteris paribus, consumers are willing to purchase more chicken at the lower price, resulting in an increase in the quantity demanded along the demand curve. Conversely, when the price of chicken increases, consumers are willing to purchase less chicken at the higher price, resulting in a decrease in the quantity demanded along the demand curve.

Other factors that can shift the demand curve for chicken include changes in consumer income, the prices of substitute or complementary goods, and changes in consumer preferences. However, these factors cause a shift in the entire demand curve, rather than a movement along the curve.

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Answer:

-1/2

Step-by-step explanation:

Make these mixed fractions:

-2 1/3 = -7/3

-1 5/6 = 11/6

Make these have common denominators:

-7/3 - (-11/6)

-14/6 - (-11/6)

-14/6 + 11/6

-3/6

-1/2

Answer:-0.5

Step-by-step explanation: have a good day!

Answer:

c

Step-by-step explanation:

explanation is because the matter of the time goes and you can't read this because of the pauses I am making and the technology is evolving and it goes and Ii goes and goes

The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

Parameter and statistic: Parameter is a value that describes the population, while statistic is a value that describes a sample.

Parameters are usually represented using Greek letters, while statistics are usually represented using Roman letters. In other words, a parameter is a population characteristic, whereas a statistic is a sample characteristic.

P and p hat: P represents the true proportion of a population with a particular attribute, while p hat represents the proportion of a sample with that attribute. P hat is an estimate of the true proportion p, which may differ from the actual proportion due to sampling error.

Sampling variability: Sampling variability is the variation in sample statistics that occurs from sample to sample. It is the result of the fact that different samples of the same size drawn from the same population will produce different estimates of the population parameter due to random sampling error. The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

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a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

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The first graph depicts the action potential found in cells that initiate and conduct impulses, also known as pacemaker cells.

These cells have an unstable resting membrane potential that gradually depolarizes until it reaches the threshold for firing an action potential. This results in a gradual increase in voltage known as the pacemaker potential or prepotential.

Once the threshold is reached, the cell fires an action potential characterized by a rapid depolarization phase, followed by a brief repolarization and a slow depolarization phase before returning to its resting state.

This pattern of depolarization and repolarization allows pacemaker cells to generate and conduct electrical impulses throughout the heart, initiating and coordinating the contraction of cardiac muscle cells.

The second graph depicts the action potential found in cardiac muscle cells responsible for mechanical pumping, also known as contractile cells. These cells have a stable resting membrane potential that remains constant until depolarized by an action potential from a pacemaker cell.

Once depolarized, contractile cells rapidly depolarize and reach a peak voltage, followed by a prolonged plateau phase that maintains the cell in a depolarized state, allowing for sustained contraction of the cell.

Finally, the cell undergoes a repolarization phase, returning to its resting membrane potential and allowing for relaxation. This pattern of depolarization, plateau, and repolarization allows contractile cells to contract and relax in a coordinated manner, effectively pumping blood through the heart.

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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The equation of the line of fit can be written as y = x + 4.

Two points from which to write the equation of a line of fit can be determined by using the mean, median, and mode of the data set. The mean, median, and mode help to identify the center of the data set, which helps to identify two points that can be used to write the equation of the line of fit. The mean is calculated by taking the sum of all the data points and dividing it by the total number of data points. The median is the middle value of the data set when the data points are ordered from lowest to highest. The mode is the value that appears the most in the data set. By finding the mean, median, and mode of the data set, two points that can be used to write the equation of the line of fit can be determined. The two points can be determined by taking the mean, median, or mode value of the data set, and adding or subtracting an arbitrary value from that point. For example, if the mean of the data set is 8 and an arbitrary value of 2 is added to it, the two points of the line of fit can be (8, 10) and (8, 6). Using these two points, the equation of the line of fit can be written as y = x + 4.

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Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers not due to the fact that he can write it as a fraction.

The correct answer is F. All three statements are true.In an inverse pair of matrices, when A and B are inverses of each other, the following properties hold:

1) AB = BA: The order of multiplication is important in matrix multiplication. However, when A and B are inverse matrices, they commute with each other, meaning that AB is equal to BA. This property ensures that statement 1 is true.

2) AB = I2: The identity matrix I2 is a special matrix that, when multiplied by any matrix, results in the original matrix itself. In the case of inverse matrices, when A and B are multiplied together, the result is the identity matrix I2. Therefore, statement 2 is true.

3) AI2 = B: Multiplying any matrix by the identity matrix on the right side does not change the matrix. So, multiplying A by I2 should yield the same matrix A. However, since A and B are inverses, B is the result of multiplying A by I2. Therefore, statement 3 is true.

All three statements are true when A and B form an inverse pair of matrices.

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Answer:

52.14

Step-by-step explanation:

do 365 divided by 7 because 7 days is a week