Look at this triangle.
A
Work out length BC.
13 cm
8 cm
B
С

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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In the context of function mappings between sets, we will prove two statements. First, we will show that a function f is injective if and only if it has a left inverse. Second, we will prove that a function f is surjective if and only if it has a right inverse.

1. Injective and Left Inverse: Let f: X → Y be a function between sets X and Y. We say f is injective if for every y in Y, there exists at most one x in X such that f(x) = y. To prove that f is injective if and only if it has a left inverse, we need to show two implications.

- If f is injective, then it has a left inverse: Suppose f is injective. Let g: Y → X be defined as g(y) = x, where x is the unique element in X such that f(x) = y. This means that g(f(x)) = x for all x in X, indicating that g is the left inverse of f.

- If f has a left inverse, then it is injective: Suppose f has a left inverse, denoted as g: Y → X. To prove injectivity, consider two elements x₁ and x₂ in X such that f(x₁) = f(x₂). Applying g on both sides, we have g(f(x₁)) = g(f(x₂)), which simplifies to x₁ = x₂. This shows that f is injective.

2. Surjective and Right Inverse: Let f: X → Y be a function between sets X and Y. We say f is surjective if for every y in Y, there exists at least one x in X such that f(x) = y. To prove that f is surjective if and only if it has a right inverse, we need to show two implications.

- If f is surjective, then it has a right inverse: Suppose f is surjective. For each y in Y, choose an element x in X such that f(x) = y. Define a function h: Y → X such that h(y) = x for each y in Y. This implies that f(h(y)) = y for all y in Y, making h the right inverse of f.

- If f has a right inverse, then it is surjective: Suppose f has a right inverse, denoted as h: Y → X. To prove surjectivity, let y be an arbitrary element in Y. Then we have f(h(y)) = y, indicating that every element in Y has a preimage in X under f. Thus, f is surjective.

In conclusion, a function f is injective if and only if it has a left inverse, and f is surjective if and only if it has a right inverse.

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Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

Answer:

There are 43 students on each bus.

Step-by-step explanation:

To find out this answer, simply subtract the 4 students that are riding in cars from the total of 391 students:

391 - 4 = 387

Now, we take the 387 students and divide it by how many buses there are which are 9 buses, and we will have our answer:

387 divided by 9 = 43 students per bus.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

There are 43 students on each bus

Step-by-step explanation:

Take the total number of students and subtract the number that went in cars

391-4 = 387

This is the number that went on the buses

Take this number and divide by the 9 buses

387 / 9

43

This is the number on each bus

There are 43 students on each bus

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

There is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

To determine if there is sufficient evidence to substantiate the publisher's claim, we need to conduct a hypothesis test.

Let's assume the null hypothesis is that the proportion of readers who own a personal computer is equal to 0.32.

The alternative hypothesis is that the proportion is greater than 0.32.

We can use a one-tailed z-test for proportions to test the hypothesis.

At the 0.05 level of significance, the critical z-value for a one-tailed test is 1.645.

If our calculated z-value is greater than 1.645, we reject the null hypothesis and conclude that there is sufficient evidence to support the publisher's claim.

Assuming we take a random sample of readers and find that 350 out of 1000 readers own a personal computer, the calculated z-value can be computed as:

\(z = (p - P) / \sqrt( P(1-P) / n )\)

where

p = sample proportion = 350/1000 = 0.35

P = hypothesized proportion = 0.32

n = sample size = 1000

z = (0.35 - 0.32) / sqrt( 0.32 * 0.68 / 1000 )

z = 1.42

Since the calculated z-value (1.42) is less than the critical z-value (1.645), we fail to reject the null hypothesis.

Therefore, there is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

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The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

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Answer:

Step-by-step explanation: it looks right to me but who knows

Answer:

Yes

Step-by-step explanation:

The line intersects the y axis at point 4 (y > 3/2 x + 4), and for every 2 squares to the right it goes 3 squares up (y > 3/2 x + 4). Also, it's the > sign, which is correct when it goes in that direction.

A) Pansy Meadows Primary Care Clinic's total revenue per month is $10,000. B) The clinic's monthly profit is a loss of $15,000. C)  if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000. D) if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.

To calculate the clinic's total revenue, monthly profit/loss, and the impact of changes in reimbursement rates, we'll use the given information and perform the necessary calculations.

Given:

Number of office visits per month = 1000

Fixed costs = $25,000 per month

Variable costs per office visit = $10

A) Total revenue per month:

Revenue per office visit = $10 (variable cost per visit)

Total revenue per month = Revenue per office visit * Number of office visits per month

Total revenue per month = $10 * 1000

Total revenue per month = $10,000

Therefore, Pansy Meadows Primary Care Clinic's total revenue per month is $10,000.

B) Monthly profit (loss):

Profit (loss) = Total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $10,000 - $25,000 - ($10 * 1000)

Profit (loss) = -$15,000

Therefore, the clinic's monthly profit is a loss of $15,000.

C) Impact of changing the commercial insurance reimbursement rate to $65:

To determine the impact on profitability, we need to recalculate the monthly profit using the new reimbursement rate.

New total revenue per month = $65 * 1000 = $65,000

Profit (loss) = New total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $65,000 - $25,000 - ($10 * 1000)

Profit (loss) = $30,000

Therefore, if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000.

D) Impact of all commercially insured patients being covered by a capitated contract:

i. Monthly revenue:

Revenue per patient per month = $2 (capitated payment per patient)

Monthly revenue = Revenue per patient per month * Number of office visits per month

Monthly revenue = $2 * 1000

Monthly revenue = $2,000

ii. Monthly profit/loss:

Profit (loss) = Monthly revenue - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $2,000 - $25,000 - ($10 * 1000)

Profit (loss) = -$33,000

Therefore, if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.

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Answer:

2πr^2 = 968π

r^2 = 484

r = 22 units

Answer:

D. 8.8

Step-by-step explanation:

As the pythagorean theorem.

A² + B² = C²,

5.4 × 5.4 + 7 × 7 = C²,

29.16 + 49 = C²,

78.16 = C²,

8.8 ≈ C

A single triangle is 180 degrees.

As you can see. Triangle A, as it is shown in the bad drawing. It is an isosceles triangle because two sides are equal to one another, indicated with the lines. Angle A is given as 57. By the isosceles triangle theorem, Angle A equals to Angle B. Calculating the missing angle: 180 - 57 (given) - 57 (because of the isosceles triangle theorem type of thing. I forgot) = 66

You can see it is a verticle angle so angle C is equal to angle D, therefore angle D is 66.

Again it is an isosceles triangle so Angle F is 66. 180 - 66(angle D) - 66(angle F) = 48 = angle x

Angle A = 57 degrees. Given

Angle A = Angle B. isosceles triangle theorem

Angle B = 57 degrees. Substitute

Angle A + Angle B + Angle C = 180. Definition of Triangle (I forgot what it was called)

57 + 57 + Angle C = 180. Substitution

Angle C = 66. Subtraction

Angle C = Angle D. Verticle angle theorem.

Angle D = 66. Substitution

Angle F = Angle D. isosceles triangle theorem

Angle F = 66. Substitution

Angle D + Angle F + Angle X = 180. Definition of Triangle?

66 + 66 + Angle X = 180. Substitution

Angle X = 48. Subtraction

Answer:

4.8(4 ones 4 tenths +4tenths)

Candice's z-score is lower than Erin's z-score, this means that Candice performed better relative to the rest of her peers than Erin did relative to hers. Therefore, Candice scored better on the exam than Erin did.

To explain, we can use the concept of z-scores, which allow us to compare scores from different normal distributions. The z-score for Candice's score of 74 is calculated as: z = (74 - 66) / 4 = 2

This means that Candice's score is two standard deviations above the mean for her exam. The z-score for Erin's score of 58 is calculated as: z = (58 - 42) / 7 = 2.29

This means that Erin's score is 2.29 standard deviations above the mean for her exam. Hence, Candice scored better on the exam.

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The largest positive integer which represents as an unsigned integer on 8 bits is equal to 255.

Standard representation of unsigned integers, using n bits is the total number of numbers that can be represented is equal to 2ⁿ.

As zero is also included this implies range of numbers which is represented is from 0 to  2ⁿ- 1.

The largest positive integer representing unsigned integer on 8 bits is

= 2⁸ - 1

= 256 - 1

= 255

Representation in binary and decimal is equal to

11111111 = 1 × 2⁷+ 1 × 2 ⁶+ 1 × 2⁵ + 1 × 2⁴ + 1 × 2³ + 1 × 2² + 1 × 2¹ + 1 × 2⁰

           = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

           = 255

Therefore, the largest positive integer represented as unsigned integer on 8 - bits is equal to 255.

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Answer:

Answer is 18

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

\(\huge\text{Hey there!}\)

\(\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}\)

~~~~~~~~~~~~~~~~~

\(\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}\)

~~~~~~~~~~~~~~~~~~~~~

\(\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}\)

~~~~~~~~~~~~~~~~~~~~~

\(\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}\)

~~~~~~~~~~~~~~~~~~~~

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

In other words,

=====================================================

Explanation:

Factor 63 and 27 such that the GCF 9 is involved.

So,

63 - 27 = 9*7 - 9*3 = 9(7 - 3)

I used the distributive rule.

1)the value of the constant c so that p(x) is \(c=\frac{1}{15}\).

2) Find the mean number of times the packet is \(\frac{2}{15}\).

a computer sends a packet of information along a channel and waits for a return signal acknowledging that the packet has been received. if no acknowledgment is received within a certain time, the packet is re-sent. let x represent the number of times the packet is sent. assume that the probability mass function of x is given,

x=0,1,2,3,4,5.

p(x)= 0,1,2,3,5=0.

{c,2c,3c,4c,5c}=1

0+c+2c+3c+4c+5c=1

15c=1

\(c=\frac{1}{15}\)

2) Find the mean number of times the packet is

p(x) for x = 0, 1, 2, 3, 4, 5 = 0, 1/15, 2/15, 3/15, 4/15, 5/15

P(X = 2) = 2/15

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By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).

In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)

Comparing it with the given equation, we can identify the following:

\(Slope \: (m) = 1/2\)

The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.

To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).

Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).

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250=12x

250/12=20.8

12/12=1

20.8 x 1 = 20.8

Answer:

y=-12x+250

If you graph it you will get that it only lasts for 20.833 days

Step-by-step explanation:

The minus twelve is the twelve pounds they eat per day, the positive 250 is the amount of food they start with. If you graph the above equation in desmos you should get the right graph if you need it. But it should last 20.833 (or just round to 21) days.

Answer:

22

Step-by-step explanation:

17+(8-5)x5

17+3×5

17+15

22

Answer:

255

Step-by-step explanation:

B stands for brackets

O stands for order

D stands for devision

M stands for multiplication

A stands for addition

S stands for subtraction

If you follow it in the right order then you will find your answer so just follow it in the right order...

Let us represent the length of each piece of rope by the variable l. The inequality that represents all possible values of the total length of the 18 pieces of rope is given by:

\($$270 \le l \le 280$$\)

The total length of the 18 separate pieces of rope can be represented by the sum of the length of each rope as follows:

\($$18l$$\)

To get the inequality that represents all possible values of the total length of 18 separate pieces of rope used in a parachute, we substitute the value of l in the inequality.

\($$18(270) \le 18l \le 18(280)$$$$\Rightarrow 4860 \le 18l \le 5040$$\)

The inequality that represents all possible values of the total length of 18 separate pieces of rope used in a parachute is given by:

\($$4860 \le 18l \le 5040$$\)

Thus, the inequality that represents all possible values of the total length of 18 separate pieces of rope used in a parachute is "4860 ≤ 18l ≤ 5040" .

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Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

Get y by itself:

3y - 2 = 13

     +2    +2

3y = 15

Divide by 3:

3y = 13

÷ 3    ÷ 3

y = 5

Answer:

Question 1 is false. The left side 28 does not equal on the right side 41, which means that the given statement is false.

Question 2 is false. The left side 0 does not equal to the right side 40, which means that the given statement is false.

Hope this helps :)

Answer:

4 years old

Step-by-step explanation:

His sister is x years old.

Gary is 1 year less than 3 times her age, so his age is

3x - 1

His age is 11, so we can write an equation.

3x - 1 = 11

Add 1 to both sides.

3x = 12

Divide both sides by 3.

x = 4

Answer: She is 4 years old.

Answer:

4

Step-by-step explanation:

The vector equation for a line segment that joins two points P and Q can be found by subtracting the position vectors of P and Q and representing the result as a vector from P.

The position vector of point P is given by [0, -4, 4] and the position vector of point Q is given by [1/2, 1/3, 1/4]. So, the direction vector of the line segment is found by subtracting the position vectors:

d = Q - P = [1/2, 1/3, 1/4] - [0, -4, 4] = [1/2, 5/3, -3/4]

The vector equation of the line segment can be written as:

r(t) = P + t * d = [0, -4, 4] + t * [1/2, 5/3, -3/4] = [t/2, -4 + 5t/3, 4 - 3t/4]

where t is a scalar parameter that varies from 0 to 1 to give the points on the line segment between P and Q.

The parametric equations of the line segment are:

x(t) = t/2

y(t) = -4 + 5t/3

z(t) = 4 - 3t/4

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Find a vector equation and parametric equations for the line segment that joins P to Q?

P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )

vector equation r(t)

parametric equations x(t), y(t), z(t)

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6/0.20 = 30.

Since to Normally find a percentage of a number, you would Multiply the percentage in decimal form, multiplied times the full amount, to get a percentage. ( 30*0.2 = 6)

So to find the full amount (in this case of students) Reverse this process, and divide the Portion by the percentage (In this scenario, 6/0.20) and you will get the full amount.

I hope this helps!

Answer:

NO

Step-by-step explanation:

log(mn) = log(m) + log(n)