Solve the system of linear equations. Check you solution. Y=-x+20 y=x+16

the expression 27x^2y^3z^4 can be written as 3^3 * x^2 * y^3 * z^4.The correct option would be a) 3x^2/3y^3z^4/3.

To express 27x^2y^3z^4 using rational exponents, we can rewrite it as:

27x^2y^3z^4 = (3^3) * (x^2) * (y^3) * (z^4).

Using the properties of exponents, we can rewrite each term with rational exponents:

(3^3) * (x^2) * (y^3) * (z^4) = 3^(3/1) * x^(2/1) * y^(3/1) * z^(4/1).

Simplifying the exponents, we have:

3^(3/1) * x^(2/1) * y^(3/1) * z^(4/1) = 3^3 * x^2 * y^3 * z^4.

Therefore, the expression 27x^2y^3z^4

be written as 3^3 * x^2 * y^3 * z^4.

The correct option would be a) 3x^2/3y^3z^4/3.

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Answer:

i wouldsay b

Step-by-step explanation:

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

1. The third side has to be greater than 9 m.

2. The triangle is scalene.

Step-by-step explanation:

The measurement of angle DBC is equal to 33°, here we have to know the meaning of angle.

Angle is the measurement distance between two straight line or ray when they meet and it can also say that their one part is opening and other part is joint.

We have given that, ∠ABD = 4x, ∠DBC = 3x and measure of angle ABC is equal to 77°.

So ∠ABD + ∠DBC = ∠ ABC

⇒  4x + 3x = 77°

⇒ 7x = 77°

⇒ x = 11°

So, ∠ ABD = 4x = 4 * 11 = 44°

and, ∠DBC = 3x = 3 * 11 = 33°

Therefore, angle DBC is equal to 33°.

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Complete Question:

What is the measure of angle DBC if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77° ?

Answer:

a-

Step-by-step explanation:

hi

Answer:

The equation we are given (−at^2 + bt + c) is a parabola and we are told to describe what happens when we change c (the y-intercept).

Step-by-step explanation:

Options I, II, and III are all correct.

So the answer is K, I, II, and III

Answer:

x> 10.4

Step-by-step explanation:

5x-10 > 42

5x>52

x> 10.4

Answer:

x > 10.4

Step-by-step explanation:

5x - 10 > 42

+10 +10

5x = 52

52÷5 = 10.4

x > 10.4

Answer:

1/6

Step-by-step explanation:

We can make an equation for this:

‘Let’s call the number we’re searching for n. n times 7 is equal to n plus 1:

n × 7 = n + 1

Now all we have to do is solve for n:

7n = n + 1 ⇒ subtract 1 n on each side ⇒

6n = 1 ⇒ divide both sides by 6 ⇒

n = \(\frac{1}{6}\)

a) 1: male, 2: female

\(H_o: \mu_1 = \mu_2\)

\(H_a: \mu_1 > \mu_2\)

b) \(\text{Pooled variance } s^2_p = \frac{s^2_1 (n_1 -1) + s^2_2(n_2-1)}{n_1+n_2-2} = 1.22 \times 10^8\)

c) \(\text{cr value } = t_{0.05, df =98} = 1.6605\)

\(SE = \sqrt{s^2_p (1/n_1 + 1/n_2)} = 2209.07\)

\(t_{STAT} = \frac{\bar{x_1} - \bar{x_2} }{SE} = 2.2633\)

\(\because 2.2633 > 1.6605\)

Reject Null!

Question:

A researcher randomly sampled 100 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The summary results are given below: Male MBA Graduates: Sample mean = $85500, Sample standard deviation = 10000, Sample size = 50 Female MBA Graduates: Sample mean = $78000, Sample standard deviation = 8000, Sample size = 50 Assuming that the populations are normally distributed and the population variances from both populations are equal, is there evidence that the average starting salary of the male MBA graduates is higher than the average starting salary of the female MBA graduates? Use a 0.05 level of significance. (a) State the null and alternative hypothesis for this problem. (b) What is the value of the pooled-variance tSTAT test statistic for this problem? (c) Using the level of significance α = 0.05, what is the critical test value for this problem? (d) What is your statistical decision for this problem?

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Answer:

4

Step-by-step explanation:

The greatest common factor (GCF) of 12 and 40 is 4.

Answer:

1.3333

Step-by-step explanation:

pls mark brainliest

The number of complete rotations that the clothe dyer can make within the given amount of time would be = 5,940 rotations.

A clothe dryer is defined as the electrical electronic instrument that contains a rotary device which spins at a particular rate per minute.

The spinning rate of the clothe dryer = 4.5/sec

The given time = 22 minutes

But 1 minute = 60 seconds

If 4.5 rotations.= 1 second

.X rotations = 60 seconds

make X rotations the subject of formula;

X rotations = 4.5 × 60 = 270 rotations/ minute.

If 270 rotations = 1 minute

X rotations = 22 minutes

make X rotations the subject of formula;

X rotations = 270 × 22

= 5,940 rotations.

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Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

Answer: x=16/17

Step-by-step explanation: 56=34x+24 34x+24−24=56−24 34x/34=32/34/2/2

x=16/17

Answer: x = 16/17 another way to check if you're right is to go to a website that I use and type in your question I will put a picture of the website since this thing won't let me type out the website

Answer:

7.5 feet per second

Step-by-step explanation:

Answer:

I believe it is 7.5 feet per second

Step-by-step explanation:

Do 225 divided by 30

Answer:

Perpendicular would be -7

Parallel would be 7

Because m = slope and the m is connected to the x (mx)

Answer:

The orange region has an area of 324m²

Step-by-step explanation:

You can calculate this by finding the area of the smaller white rectangle, and subtracting it from the larger orange rectangle.

The smaller rectangle has the dimensions 8m × 5m, giving us 40m².

The larger rectangle is 13m × 28m, giving us the area 364m²

So the orange area is equal to 364m² minus 40m², or 324m²

Answer:

324\(cm^{2}\)

Step-by-step explanation:

The are of the shaded region is equal to the area of the big rectangle minus the area of the small rectangle. So the are of the shaded region can be found in a follwoing way

The are of the shaded region = Area of the big rectangle - Area of the small recatngle

The are of the shaded region = 13 x 28 - 5 x 8

The are of the shaded region = 364 - 40

The are of the shaded region = 324\(cm^{2}\)

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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A; The distance between the starting point to Obstacle 2 is  13 meters

B; There are 10 meters around one lap of course.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Part A;

Starting point: (-12, 5); Obstacle 2: (0, 0)

(x₁, y₁) and (x₂, y₂)

Therefore,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

B. Starting point: (-12, 5); Obstacle 2: (0, 0);

Obstacle 1: (-12, 0)

(Starting Point + Obstacle 2)

Now,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

Therefore, (Starting Point + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - (-12))² + (0 - 5)²

d = √(0)² + (-5)²

d = √25

d = 5 meters

(Obstacle 2 + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - 0)² + (0 - 0)²

d = √(-12)² + (0)²

d = √144

d = 12 meters

Total = 12m + 5m + 13m = 30

30 ÷ 3 = 10 meters

we can conclude that 10 meters around one lap of course.

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Answer:

4.05 c

Step-by-step explanation:

Answer:

$4.05

Step-by-step explanation:

$4.10 - $0.05 = $4.05

Answer:

a=b b=me me = You me +you =

Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

||e|| = sqrt(e^T e)

where e^T is the transpose of e.

Given a system of equations,

x = b1x = b2...x = bn.

We have to find the least square solution ˆx to it and write the system as Ax = b and find ||e|| where e = b − Ax.

Part (a)To find the least squares solution, let's consider an arbitrary linear combination of the solutions to the system:

x = c1a1 + c2a2 + ... + cn an

Substituting the values from the system of equations we get,c1 = b1c2 = b2...cn = bn

Let A be the coefficient matrix,

A = [a1 a2 ... an]

Since the system of equations can be written as Ax = b, where x = [x1 x2 ... xn],and b = [b1 b2 ... bn]

We can write the least square solution as ˆx = [x1 x2 ... xn] = (AT A)^-1 A

Tb= (A^T A)^{-1} A^T b

Part (b)

Now let us find e = b - Ax, so that ||e|| can be calculated.

e = b - Ax

⇒ e = [b1 - a11x - a12x - ... - a1nx][b2 - a21x - a22x - ... - a2nx]...[bn - an1x - an2x - ... - annx]

⇒ e = [b1 b2 ... bn] - [a1 a2 ... an][x1 x2 ... xn]

Therefore, Ax = b becomes the linear system of equations

a1x1 + a2x2 + ... + anx = b1a1x1 + a2x2 + ... + anx = b2..................................................anx1 + an2x2 + ... + annxn = bn

Thus, ||e|| can be calculated as:

||e|| = sqrt(e^T e)

where e^T is the transpose of e.

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