In ΔKLM, m = 17 inches, l = 44 inches and ∠L=153°. Find all possible values of ∠M, to the nearest 10th of a degree

To determine which point could be on the line that is perpendicular to Line MN and passes through point K, we need to analyze the slopes of the two lines.

First, let's find the slope of Line MN using the given points (2, 3) and (-3, 2):

Slope of Line MN = (2 - 3) / (-3 - 2) = -1 / -5 = 1/5

Since the lines are perpendicular, the slope of the perpendicular line will be the negative reciprocal of the slope of Line MN. Therefore, the slope of the perpendicular line is -5/1 = -5.

Now let's check the given points to see which one satisfies the condition of having a slope of -5 when passing through point K (3, -3):

For point (0, -12):

Slope = (-12 - (-3)) / (0 - 3) = -9 / -3 = 3 ≠ -5

For point (2, 2):

Slope = (2 - (-3)) / (2 - 3) = 5 / -1 = -5 (Matches the slope of the perpendicular line)

For point (4, 8):

Slope = (8 - (-3)) / (4 - 3) = 11 / 1 = 11 ≠ -5

For point (5, 13):

Slope = (13 - (-3)) / (5 - 3) = 16 / 2 = 8 ≠ -5

Therefore, the point (2, 2) could be on the line that is perpendicular to Line MN and passes through point K.

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t = 0:0.001:0.2;

xa = 5 * cos(120 * pi * t + pi/6);

plot(t, xa); This MATLAB code will plot the signal \( x_{a}(t) = 5 \cos(120 \pi t + \pi / 6) \) for \( 0 \leq t \leq 0.2 \).

To plot the given signal \( x_{a}(t) = 5 \cos(120 \pi t + \pi / 6) \) for \( 0 \leq t \leq 0.2 \) using MATLAB, follow these steps:

Step 1: Define the time axis

```matlab

t = 0:0.001:0.2; % time vector from 0 to 0.2 with a step of 0.001

```

Step 2: Define the signal equation

```matlab

xa = 5 * cos(120 * pi * t + pi/6);

```

Step 3: Plot the signal

```matlab

plot(t, xa);

xlabel('Time (s)');

ylabel('Amplitude');

title('Signal xa(t)');

```

Step 4: Customize the plot (optional)

You can customize the plot by adjusting the axis limits, adding a grid, legends, etc., based on your preference.

Step 5: Display the plot

```matlab

grid on;

legend('xa(t)');

```

By running the MATLAB code, you will obtain a plot of the signal \( x_{a}(t) \) with the time axis ranging from 0 to 0.2 seconds. The amplitude of the signal is 5, and it oscillates with a frequency of 60 Hz (120 cycles per second) and a phase shift of \(\pi/6\) radians. The plot will show the waveform of the signal over the specified time interval, allowing you to visualize the behavior of the signal over time.

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Answer:

c^4 + 8c^3 - 3c^2 - 7c

Step-by-step explanation:

Simplify (−3c 4 −5c 2 −7c) + (4c 4 +8c 3 +2c 2 ),

Which will take you the second portion of -3c^4 - 5c^2 - 7c + 4c^4 + 8c^3 + 2c^2

Combine like terms : 3c^4 + 4c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Add Similar elements: c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Do the final combining leaving you with the answer of :

c^4 + 8c^3 - 3c^2 - 7c

Answer:

Part A: 0

Part B: All real numbers

Step-by-step explanation:

Part A:

We have:

\((6^2)^x=1\)

First, let's evaluate the square:

\(36^x=1\)

Now, what to the xth power will equal 1?

Remember the fact that anything (except for 0) to the zeroth power is 1.

Therefore, our x is 0:

\(36^0=1\)

Part B:

We have:

\((6^0)^x=1\)

Like mentioned previously, anything to the zeroth power is 1. Thus:

\(1^x=1\)

Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:

\(1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1\)

Therefore, our values of x is all real numbers.

And we're done!

Critical value of t for testing the significance of each of the independent variable's coefficients will have 90 degree of freedom.

We are given the following parameters or data or information

"A regression analysis involved 8 independent variables", " 99 observations. "

Number of observations = 99

Number of independent variables = 8

In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).

To determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom = (number of observations) - (number of independent variables + 1).

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - (8 +1) = 90.

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Answer:

Tacos cost $2.50 each

Burritos cost $3.50 each

Step-by-step explanation:

Price variables:

  tacos:  t

  burritos:  b

Constraints:

  2b + 5t = 19.50

  5b + 2t = 22.50

2b + 5t = 19.50

2b  = 19.50 - 5t

b = 9.75 - 5/2t

5b + 2t = 22.50

5(9.75 - 5/2t) + 2t = 22.50

48.75 - 12.50t + 2t = 22.50

48.75 - 10.50t = 22.50

-10.50t = -26.25

t = 2.50

2b + 5t = 19.50

2b + 5(2.50) = 19.50

2b + 12.50 = 19.50

2b = 7

b = 3.50

Given:

Simplified value is 3a-2.

To find:

The expression which has a simplified value of 3a - 2.

Solution:

In option A,

\(-8+3a+10-a=(-8+10)+(3a-a)\)

\(-8+3a+10-a=2+2a\neq 3a-2\)

In option B,

\(-10-5a+12+8a=(-10+12)+(-5a+8a)\)

\(-10-5a+12+8a=2+3a\neq 3a-2\)

In option C,

\(-a+4+5a-a-6=(-a+5a-a)+(4-6)\)

\(-a+4+5a-a-6=3a-2\)

In option D,

\(-6a+9a+4-2=3a+2\neq 3a-2\)

Therefore, the correct option is C.

Answer:

I believe it's that Santa loses 19 cents total.

Santa lost 7 cents on Monday and 12 cents on Tuesday. 7 + 12 = 19.

Answer:

Middle graph is the graph of f(x)=4(1/2)^x

Step-by-step explanation:

plot a couple of easy points and find which graph has those points on the line.

f(0) = 4(1/2)^0  = 4

f(x) = 4(1/2)^1   = 2

f(2) = 4(1/2)^2  = 1

All these points fall on the line in the middle graph.

Answer:

The answer is B.63

Explanation:

63 is a composite number because a composite numbers is any positive number which is not a "prime number"

It is a right triangle.

A correlation coefficient is a statistical measure that shows the degree of association between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation (as one variable increases, the other decreases), 0 indicates no correlation, and 1 indicates a perfect positive correlation (as one variable increases, the other also increases).

When plotted on a scatter plot, the correlation coefficient can help you determine the strength and direction of the relationship between the variables. If the coefficient is close to -1 or 1, the points on the scatter plot will be more tightly clustered around the line of best fit, indicating a stronger relationship between the variables. On the other hand, if the coefficient is closer to 0, the points will be more spread out, indicating a weaker relationship.

The line of best fit, also known as the regression line, is the line that best approximates the relationship between the variables based on the data points on the scatter plot. It is calculated using a mathematical formula that takes into account the values of both variables. The correlation coefficient can be used to help determine the slope and intercept of the line of best fit, which can be useful for making predictions about future data points. Overall, the correlation coefficient provides valuable information about the strength and direction of the relationship between two variables, which can help inform further analysis and decision making.

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Answer:

3:7 and 12:21

6:14

9:21

12:28

No they do not for a proportion

Step-by-step explanation:

Answer:

I believe it is C.

Step-by-step explanation:

Answer:

do the work

Step-by-step explanation:

The statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

Given data:

7, 11, 12, 18, 20, 22, 43.

To find out whether the last observation is an outlier or not, let's use the three standard deviation criterion.

That is, if a data value is more than three standard deviations from the mean, then it is considered an outlier.

The formula to find standard deviation is:

S.D = \sqrt{\frac{\sum_{i=1}^{N}(x_i-\bar{x})^2}{N-1}}

Where, N = sample size,

             x = each value of the data set,

    \bar{x} = mean of the data set

To find the mean of the given data set, add all the numbers and divide the sum by the number of terms:

Mean = $\frac{7+11+12+18+20+22+43}{7}$

          = $\frac{133}{7}$

          = 19

Now, calculate the standard deviation:

$(7-19)^2 + (11-19)^2 + (12-19)^2 + (18-19)^2 + (20-19)^2 + (22-19)^2 + (43-19)^2$= 1442S.D

                                                                                                                               = $\sqrt{\frac{1442}{7-1}}$

                                                                                                                                ≈ 10.31

To determine whether the value of x = 43 is an outlier, we need to compare it with the mean and the standard deviation.

Therefore, compute the z-score for the last observation (x=43).Z-score = $\frac{x-\bar{x}}{S.D}$

                                                                                                                      = $\frac{43-19}{10.31}$

                                                                                                                      = 2.32

Since the absolute value of z-score > 3, the value of x = 43 is considered an outlier.

Therefore, the statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

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Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

Answer:

No, because all of the new type of balls are not hit first, the distances they travel cannot be compared to the distances of the original ball.

Answer:

Repeating the experiment will allow the company to compare the distances traveled by the new type of golf ball from both experiments.

Step-by-step explanation:

However, this is not exactly the best way to find out if the new generation of golf balls would travel further. A golf pro can be inconsistent in the way they hit each ball [room of error].

A better way to compare is to use a golf ball machine that would launch each ball at the same angle and with the same force. However, generally with more tries the room of error would decrease significantly.

Answer:

-4m/s²

Step-by-step explanation:

Given Equation of velocity :-

Differenciation of first order will give acclⁿ :-

At t = 0 ,

The value of x in the expression is 3 / 2.

The value of x in the expression can be found as follows:

Therefore, the quotient rule can be used to find the value of quotient x in the expression as follows:

q⁵ × q²ˣ = q¹⁰ ×  q⁶ / q⁸

Using the quotient rule

\(A^{x} X A^{y} = A^{x + y}\)

Therefore,

q⁵ × q²ˣ = q¹⁰ ×  q⁶ / q⁸

q⁵⁺²ˣ = q¹⁶ / q⁸

q⁵⁺²ˣ = q⁸

cancel the base

5 + 2x = 8

2x = 8 - 5

2x = 3

divide both sides of the equation by 2

x = 3 / 2

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The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = \(1\frac{1}{2}\) = 3/2

Last term an = \(2\frac{1}{2}\) = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

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Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are \(1\frac{1}{2}\), \(2\frac{1}{2}\) and 1/9 respectively, how many terms has the sequence?

Answer:

C. I and II

Step-by-step explanation:

In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The length of rectangle is 19 cm and width is 31cm

What are the rectangle's perimeter and area?

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's edge is referred to as its perimeter.

Given that:

Let the length of the given rectangle be x cm

Then the width = x+12

now area = 589cm^2

Length x breath = 589 = x(x+12)

x^2 + 12x = 589

x^2 + 12x - 589 = 0

(x-19)(x+31) = 0

x = 19 , -31

But x cant be negative so x = 19

Length = 19 cm

Width = 31 cm

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Answer:

if i am right it 260

Step-by-step explanation:

in 1998, the university of Wisconsin collected data on means of transportation to work. in 2008, Betsy (a university of Minnesota student) used the data for her own project. betsy is using Secondary analysis collection method.

Secondary data is information gathered by someone other than the original user. It signifies that the data is already accessible and has been analyzed. Magazines, newspapers, books, and journals are examples of secondary data. It might be published or unpublished data.

Secondary analysis is the use of existing data acquired for the purposes of a previous study to pursue a research interest that is unique from the original work; this might be a new research topic or an alternate viewpoint on the original subject.

Secondary research methods commonly used include data acquisition via the internet, libraries, archives, schools, and organizational reports.

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The prices for each item are given as follows:

The prices are obtained with a system of equations, for which the variables are given as follows:

From the first row of the table, we have that:

40x + 32y = 74.

Simplifying by 32, we have that:

1.25x + y = 2.3125

y = 2.3125 - 1.25x.

From the second row, we have that:

20x + 25y = 43.75.

Replacing the first equation into the second, the value of x is obtained as follows:

20x + 25(2.3125 - 1.25x) = 43.75

11.25x = 14.0625

x = 14.0625/11.25

x = 1.25.

Then the value of y is obtained as follows:

y = 2.3125 - 1.25(1.25)

y = 0.75.

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