Use Matlab (write an M-file) to solve the following sets of simultaneous equations if possible (do the necessary check. The program should display an error if there is no solution). −4x3 + 12x4 = 5 -4x1 - 20x3 + 3x4 = -1
2x1 + 2x3 + 5x4 = 20 X1 - 3x2 + 11x3 — 10x4 = −6

Answer:

3,360 different codes.

Step-by-step explanation:

Here we have a set of 8 numbers:

{0, 0, 1, 5, 8, 9, 9, 9}

Now we want to make an 8th digit code with those numbers (each number can be used only once)

Now let's count the number of options for each digit in the code.

For the first digit, we will have 8 options

For the second digit, we will have 7 options (because one was already taken)

For the third digit, we will have 6 options (because two were already taken)

you already can see the pattern here:

For the fourth digit, we will have 5 options

For the fifth digit, we will have 4 options

For the sixth digit, we will have 3 options

For the seventh digit, we will have 2 options

For the eighth digit, we will have 1 option.

The total number of codes will be equal to the product between the numbers of options for each digit, then we have that the total number of codes is:

N = 8*7*6*5*4*3*2*1 = 8!

But wait, you can see that the 9 is repeated 3 times (then we have 3*2*1 = 3! permutations for the nines), and the 0 is repeated two times (then we have 2*1 = 2! permutations for the zeros).

Then we need to divide the number of different codes that we found above by 3! and 2!.

We get that the total number of different codes is:

C = \(\frac{8!}{2!*3!} = \frac{8*7*6*5*4}{2} = 8*7*6*5*2 = 3,360\)

3,360 different codes.

The number of eight digit code she can make is, 3360.

If any number have n digits, then number of ways it can be arranged = \(n!\)

Given that,  Born date is,  08/05/1999

Total number of digits in birth date =  8

So, number of ways it can be arranged = \(8!\)

Since, In birth date 9 is three times and 0 is two times.

Therefore, number of arrangements = \(\frac{8!}{3!*2!}=3360\)

Therefore, she can make 3360 eight digit codes from given birth date.

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For the given matrix [2 7; 2 6]  [x; y] = [8; 6], the value of y  is 2.

Given the matrices in the correct form, we can write the problem as follows:

[2 7; 2 6]  [x; y] = [8; 6]

which translates into the system of equations:

2x + 7y = 8 (equation 1)

2x + 6y = 6 (equation 2)

Let's solve for y.

Subtract the second equation from the first:

(2x + 7y) - (2x + 6y) = 8 - 6

=> y = 2

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Answer:

no it's not a defined state it's undefined

The statistical population in this situation is the zoologists graduating from a Midwestern university. The sample is the twenty graduating seniors who were asked to report their starting salary. The variable of interest is the starting salary of the zoologists.

(a) In order to learn about starting salaries for zoologists graduating from a Midwestern university, a sample of twenty graduating seniors was selected. These twenty individuals represent the statistical population of interest. The variable of interest in this study is their starting salary. By collecting data from these individuals, researchers aim to gain insights into the typical starting salaries for zoologists in that specific region and educational setting.

(b) The statistical population in this situation is the thousand trees on the specific farm. The sample is the fifty trees that were selected for examination. The variable of interest is whether or not the trees are infected by disease.

In a specific farm with a thousand trees, a sample of fifty trees was chosen to be examined. These fifty trees represent the statistical population of interest. The variable of interest in this study is the presence of disease infection among the trees. By assessing the sample, which comprised 5 infected trees, researchers aim to estimate the prevalence and assess the overall health of the tree population on the farm.

(c) The statistical population in this situation is all specimens that could conceivably be manufactured with the new plastic material. The sample is the 20 specimens made of the new plastic material that were selected for testing. The variable of interest is the tensile strength of the specimens.

In the context of evaluating a new plastic material, the statistical population includes all possible specimens that can be manufactured using this material. A sample of 20 specimens was selected from this population to measure and analyze their tensile strength. By examining the sample, researchers aim to gain insights into the typical tensile strengths that can be expected for all possible specimens manufactured using the new plastic material.

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Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

Answer: 2/3=4/6

only 1 4/6 can fit into 5/6

Step-by-step explanation:

The second derivative of y = 2x / (x² - 4) is found as d²y/dx² = -4x(x² + 4) / (x² - 4)⁴.

To find the second derivative of y = 2x / (x² - 4),

we need to find the first derivative and then take its derivative again using the quotient rule.

Using the quotient rule to find the first derivative:

dy/dx = [(x² - 4)(2) - (2x)(2x)] / (x² - 4)²

Simplifying the numerator:

(2x² - 8 - 4x²) / (x² - 4)²= (-2x² - 8) / (x² - 4)²

Now, using the quotient rule again to find the second derivative:

d²y/dx² = [(x² - 4)²(-4x) - (-2x² - 8)(2x - 0)] / (x² - 4)⁴

Simplifying the numerator:

(-4x)(x² - 4)² - (2x² + 8)(2x) / (x² - 4)⁴= [-4x(x² - 4)² - 4x²(x² - 4)] / (x² - 4)⁴

= -4x(x² + 4) / (x² - 4)⁴

Therefore, the second derivative of y = 2x / (x² - 4) is d²y/dx² = -4x(x² + 4) / (x² - 4)⁴.

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Answer:

-1/4

Step-by-step explanation:

slope= y2-y1/x2-x1

change in y: 3 - 4 = -1

change in x: 5 - 1 = 4

slope (A.K.A. m) = -1/4

Answer:

20

Step-by-step explanation:

70-50 is 20

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Answer:

A i think

Step-by-step explanation:

Answer:

slope: -1

Step-by-step explanation:

Complete y2 - y1 over x2 - x1 with your given points.

-3 - (-1)  =  -2

_____     ___

2  -  0  =    2

= ⁻²⁄₂ = -1      Simplify to lowest term

Answer:

35 :)

Step-by-step explanation:

Answer:

35

7x5=35

You need to know your multiples.

7, 14, 21, 28, 35, 42, 49, 56, and so on.......

Answer:

Step-by-step explanation:

\((3x+4)(x^2+px+5) \\=3x^3+3px^2+15x+4x^2+4px+20\\=3x^3+(3p+4)x^2+(15+4p)x +20\)

since we know that \(x^2\)  in this expansion is \(-23x^{2}\)

thus \(3p+4=-23\\3p=-27\\p=-9\)

Hope that helps!

The position of the ball at t = 2 seconds is -0.8 meters.

The position of a ball rolling in a straight line is given by the equation x = 2.0 - 3.6t + 1.1t^2, where x is the position in meters and t is the time in seconds. To find the position of the ball at a specific time, we can plug in the value of t into the equation and solve for x.

For example, if we want to find the position of the ball at t = 2 seconds, we can plug in 2 for t and solve for x:

x = 2.0 - 3.6(2) + 1.1(2)^2
x = 2.0 - 7.2 + 4.4
x = -0.8

Therefore, the position of the ball at t = 2 seconds is -0.8 meters.

Similarly, we can plug in any value of t into the equation to find the position of the ball at that specific time.

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Dilations involve scaling the figure uniformly along a given center and factor. This process results in an enlarged or reduced version of the original figure, while maintaining the same proportions and shape.

A dilation is a type of geometric transformation that alters the size or shape of a figure while preserving its proportions. It involves scaling the figure uniformly in all directions from a specific center of dilation. The scaling factor determines whether the figure will be enlarged or reduced.

When dilating a figure, each point is moved along a line that passes through the center of dilation. The distance between the original point and the center is multiplied by the scaling factor to determine the new position of the point. If the scaling factor is greater than 1, the figure will be enlarged, while a scaling factor between 0 and 1 will result in a reduction.

The center of dilation can be any point on the plane, and it serves as the reference point from which the scaling occurs. If the center of dilation is outside the figure, the shape will change along with the size. However, if the center is inside the figure, only the size will be affected, and the shape will remain the same.

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Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.

Next, the equation of a vertical line is x = a where a is any real numbers.

Since the line is vertical, for any a-value would have same y-value which is all real numbers.

However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.

Answer

Let me know if you have any doubts!

Answer: We on da same question i do not know

Step-by-step explanation:

Answer:

D. (X³ + 3) (x³ - 3)

Step-by-step explanation:

We can use the four theorems - SSS, SAS, ASA, AAS - to prove that two triangles are congruent.

To prove that the given triangles are congruent there are some rules, one of which it must satisfy to show that the two are congruent. The four theorems are stated and explained below-

SSS rule: If the 3 sides of both of the given triangles are equal, then the triangles are congruent.

SAS rule: If the 2 sides and one of the three angles of both of the given triangles are equal, then the triangles are congruent.

ASA rule: If 2 of the total three angles and a side (in the middle of the angles)of both of the given triangles are equal, then the triangles are congruent.

AAS rule: If 2 angles and a side(adjacent to the angles) of the given two triangles are equal, then the triangles are congruent.

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Answer:

6

Step-by-step explanation:

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

The result of the division is x³ + x² + x + 1, and there is no remainder.

To divide (x⁴ - 1) by (x - 1), we can use long division:

           x³ + x² + x + 1

     _____________________

x - 1 | x⁴ + 0x³ + 0x² + 0x - 1

         -(x⁴ - x³)

         ____________

                 x³ + 0x²

             -(x³ - x²)

             ____________

                     x² + 0x

                 -(x² - x)

                 ____________

                         x - 1

                     -(x - 1)

                     __________

                              0

The result of the division is x³ + x² + x + 1, and there is no remainder.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer:At 7 am

Step-by-step explanation:

Bell a will ring at : 6:10 6:20 6:30 6:40 6:50 7:00

Bell b will ring at : 6:15 6:30 6:45 7:00

Bell c will ring at : 6:20 6:40 7:00

So bell will ring together gagain at 7am

Answer:

7a.m.

Step-by-step explanation:

10 - 10, 20, 30, 40, 50, 60

15 - 15, 30, 45, 60

20 - 20, 40, 60

All three bells will ring together after 60 minutes which means at 7 a.m.