I'll mark brainilest awnser​

I'll Mark Brainilest Awnser

Answers

Answer 1

Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6


Related Questions

the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?

Answers

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Thomas bought 800 shares of stock in T.J Maxx (TIX) on November 30, 2020, paying $63.51 per share. On November 30, 2021, he received a dividend of $0.26 per share, and he sold his shares which had risen to $69.40 per share. Assume the SEC fee is $5.10 per $1,000,000 of principal, rounded up to the next cent. Find each of the following: a) Thomas's total cost for the stock if he made a $25 broker-assisted trade on 11/30/2020. b.) The amount received by Thomas if he made an automated phone sale of $5 on 11/30/2021. c.) Thomas's capital gain if he sold the stock on 11/30/2021. d.) The total dividend amount. e.) Thomas's total return on his one-year ownership of this stock.

Answers

a) Thomas's total cost for the stock is $50,812.  b) The amount received by Thomas from the automated phone sale is $55,377.80. c) Thomas's capital gain from selling the stock is $5,048. d) The total dividend amount received by Thomas is $208. e) Thomas's total return on his one-year ownership of the stock is 12.82%.

a) To calculate Thomas's total cost for the stock, we multiply the number of shares (800) by the price per share ($63.51) and add the broker-assisted trade fee ($25). The calculation is: Total cost = (800 * $63.51) + $25 = $50,812.

b) The amount received by Thomas from the automated phone sale can be calculated by multiplying the number of shares (800) by the selling price per share ($69.40) and subtracting the automated phone sale fee ($5). The calculation is: Amount received = (800 * $69.40) - $5 = $55,377.80.

c) Thomas's capital gain is the difference between the selling price per share ($69.40) and the purchase price per share ($63.51), multiplied by the number of shares (800). The calculation is: Capital gain = (800 * ($69.40 - $63.51)) = $5,048.

d) The total dividend amount received by Thomas is the dividend per share ($0.26) multiplied by the number of shares (800). The calculation is: Total dividend amount = 800 * $0.26 = $208.

e) Thomas's total return on his one-year ownership of the stock can be calculated using the formula: Total return = (Capital gain + Dividend amount) / Total cost * 100. Plugging in the values, we have: Total return = ($5,048 + $208) / $50,812 * 100 = 12.82%.

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the product of a non-zero number and an irrational number is

Answers

Answer:

rational

Step-by-step explanation:

If a researcher sets the alpha at .05 and obtains a p value of .06, this means that a null hypothesis would

Answers

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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a polygon with 189 diagonals is called​

Answers

Answer:

189 diagonals have 21 sides.

it is called hectogan take care

11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.

Answers

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -

        : less than or equal to

        : greater than or equal to

        < : less than

        > : greater than

        : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

We can write the inequality as follows -

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

Solving the inequality, we get -

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Refer to the graph attached.

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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11. Engineering The maximum load for a certain elevator is 2000 pounds. The totalweight of the passengers

a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)

Answers

A customer earns 1 free night per 10 nights stayed.

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

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Positive integers (counting numbers) which have more than two factors are called composite numbers or simply composites. They are not prime but they do have factors which are prime. For example, here are some prime factorisations: 20 = 2 × 2 × 5, 21 = 3 × 7, 22 = 2 × 11. Thus the greatest prime factors (GPFs) of 20, 21, 22 are 5, 7, 11 respec- tively. The list of GPFs of successive composites is called a GPF sequence. For example, the sequence of GPFs for the composites from 40 to 49 is 5, 7, 11, 5, 23, 3, 7. Note that 41, 43, and 47 are prime and do not contribute to the sequence of GPFs. a Find the sequence of GPFs for the composites from 60 to 65. b Explain why successive composites that give the sequence of GPFs 41, 19, 79 must all have at least four digits. c Find the smallest successive composites that give the sequence of GPFs 17, 73, 2, 19. d Find the largest composite less than 1000 with a GPF of 3 and prove that it is the largest.

Answers

The largest composite less than 1000 with a GPF of 3 is 996. To prove that it is the largest, we can note that any larger multiple of 3 would either be a prime or have a larger prime factor than 3.

a) To determine the sequence of GPFs for the composites from 60 to 65, we can list the prime factors of each number and take the largest:

- 60 = 2 x 2 x 3 x 5, so the GPF is 5

- 61 is prime

- 62 = 2 x 31, so the GPF is 31

- 63 = 3 x 3 x 7, so the GPF is 7

- 64 = 2 x 2 x 2 x 2 x 2 x 2, so the GPF is 2

- 65 = 5 x 13, so the GPF is 13

Therefore, the sequence of GPFs for the composites from 60 to 65 is 5, prime, 31, 7, 2, 13.

b) The given sequence of GPFs is 41, 19, 79. All of these numbers are prime, so any successive composites that would give this sequence of GPFs would have to be divisible by each of these primes. The product of 41, 19, and 79 is 62,999, which is a four-digit number. Therefore, any composite that would give the sequence of GPFs 41, 19, 79 would have to have at least four digits.

c) To find the smallest composites that give the sequence of GPFs 17, 73, 2, 19, we can start with 17 x 73 x 2 x 19 = 45634, which is a five-digit number. The next composite with these GPFs would be obtained by adding the product of these primes to 45634. This gives 3215678, which is a seven-digit number. Therefore, the smallest successive composites that give the sequence of GPFs 17, 73, 2, 19 are 45634 and 3215678.

d) To find the largest composite less than 1000 with a GPF of 3, we can list the multiples of 3 less than 1000 and eliminate the primes by inspection:

- 3 x 1 = 3

- 3 x 2 = 6

- 3 x 3 = 9 (prime)

- 3 x 4 = 12

- 3 x 5 = 15

- 3 x 6 = 18

- 3 x 7 = 21 (prime)

- 3 x 332 = 996

- 3 x 333 = 999 (prime)

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What are the values of x and y in the matrix equation below?

What are the values of x and y in the matrix equation below?

Answers

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

\(\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

First we have to add left hand side matrix.

\(\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to add left hand side terms.

\(\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

\(\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to equating left hand side matrix to right hand matrix, we get:

\(\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4\)

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

A company uses a coding system to identify its clients. each code is made up of two letters and a sequence of digits, for example ad108 or rr45789. the letters are chosen from a, d, r, s and i. letters may be repeated in the code. the digits 0 to 9 are used , but no digit may be repeated in the code. how many different clients can be identified with a coding system that is made up of two letters and two digits?

Answers

The correct answer is option 3: 2250. To calculate the number of different clients that can be identified with a coding system we need to multiply the number of options for each component.

For the two-letter component, there are five options (A, D, R, S, U) that can be chosen for each letter. Since repetition is allowed, there are 5 choices for the first letter and 5 choices for the second letter. Therefore, there are 5 x 5 = 25 possible combinations of two letters.

For the two-digit component, there are 10 options (0-9) for the first digit. Since no digit can be repeated, there are 9 options for the second digit (one less than the available options). Therefore, there are 10 x 9 = 90 possible combinations of two digits.

To calculate the total number of different clients that can be identified, we multiply the number of options for the two-letter component (25) by the number of options for the two-digit component (90). This gives us a total of 25 x 90 = 2250 different clients that can be identified with the coding system.

#A company uses a coding system to identify its clients. Each code is made up of two letters and a sequence of digits, for example AD108 or RR45789 The letters are chosen from A;D; R; S and U. Letters may be repeated in the code. The digits 0 to 9 are used, but NO digit may be repeated in the code. The number of different clients that can be identified with a coding system that is made up of TWO letters and TWO digits is: 1. 2230 2. 2240 3. 2250 4. 2210 22

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how would the width of a 95% confidence interval based on a sample size four times as large compare to the original 95% interval, assuming the sample proportion remained the same?

Answers

As the sample size rises, the width of a 95% confidence interval for a sample proportion decreases.

If the sample size is four times greater than the initial sample size but the sample percentage remains constant, the breadth of the 95% confidence interval is reduced by around a factor of two.

This is due to the fact that the standard error, which defines the width of the confidence interval, is proportional to the sample size squared. When the sample size is multiplied by four, the square root of the sample size multiplies by two, resulting in a lower standard error and a smaller confidence range.

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Assume that human body temperatures are normally distributed with a mean of 98.19F and a standard deviation of 0.61°F a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100 6°F is appropriate? b. Physicians want to select a mirvimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positivo, but the subject is not really sick) Click to view page 1 of the table. Click to view page 2 of the table a. The percentage of normal and healthy persons considered to have a fover is % (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100 6°F is appropriate? O A Yes, because there is a small probability that a normal and healthy person would be considered to have a fever OB. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever OC. No, because there is a large probability that a normal and healthy person would be considered to have a fever OD. No, because there is a small probability that a normal and healthy person would be considered to have a fever. b. The minimum temperature for requiring further medical tests should be F if we want only 50% of healthy people to exceed it to two decimal places as needed) (Round

Answers

The percentage of normal and healthy persons considered to have a fever can be calculated . To do this, we need to calculate the z-score for the cutoff temperature and then find the corresponding percentage

The z-score can be calculated as (cutoff temperature - mean) / standard deviation, which gives (100.6 - 98.19) / 0.61 ≈ 3.93. Looking up this z-score in the standard normal distribution table, we find that the percentage corresponding to it is extremely close to 1.00 (or 100%).

Therefore, almost all normal and healthy persons would be considered to have a fever according to this cutoff temperature. This suggests that a cutoff of 100.6°F is not appropriate since it would classify a large percentage of healthy individuals as having a fever.

To determine the minimum temperature for requiring further medical tests while ensuring that only 5.0% of healthy people exceed it (false positive rate), we need to find the z-score corresponding to the desired percentage (95.0%).

Looking up the z-score for 95.0% in the standard normal distribution table, we find a z-score of approximately 1.645.

To find the corresponding temperature, we can rearrange the z-score formula: (x - mean) / standard deviation = 1.645. Plugging in the values, we have (x - 98.19) / 0.61 = 1.645. Solving for x, we get x ≈ 1.645 * 0.61 + 98.19 ≈ 99.16°F.

Therefore, if physicians want only 5.0% of healthy people to exceed the temperature requiring further medical tests, the minimum temperature should be approximately 99.16°F. This helps minimize false positive results while ensuring a low probability of classifying healthy individuals as needing additional medical attention.

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HELP I WILL GIVE BRAINLIEST IF CORRECT
multiple choice
Which of the following expressions is equalvalent to -3.5(2-3n)-2.5n

A.-7-8n
B.-7+8n
C.-7-13n
D-7-n (10.5 - 2.5)
E.-7+n(10.5 - 2.5

Answers

Answer:

C

Step-by-step explanation:

I think

A chocolatier produces caramel-filled chocolates that have a labeled weight of 20.4 grams. Assume that the distribution of the weights of these caramel-filled chocolates is N(21.37, 0.16). (a) Let X denote the weight of a single chocolate selected at random from the production line. Find P(X > 22.07).

Answers

The weight of a single chocolate selected at random from the production line P(X > 22.07) is  0.0400.

Given:

X~ N(21.37, 0.16). X ~ N(μ, σ²) Mean (μ) = 21.37 Standard Deviation (σ) = √0.16 = 0.40

To Find: P(x > 22.07)

z = (x-μ)/σ z = (22.07-21.37)/0.40  = 1.75

Now, P(x > 22.07) = 1 - P(x < 22.07) = 1 - P(z < z) = 1 - P(z < 1.75)

By Using Standard Normal Table, = 1 - 0.9599 P(x > 43) = 0.0400

P(x > 22.07) = 0.0400

Therefore, the weight of a single chocolate selected at random from the production line, P(x > 22.07) is 0.0400.

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how much fencing is required to enclosed a circular garden whose radius is 14 m? use 22/7 for π​

Answers

Answer:

\(circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence\)

what is 6.279 rounded to two decimal places

Answers

Answer:

6.28

Step-by-step explanation:

What is the value of the expression 37. (23 + 4) ? 22

Answers

To evaluate the expression, we need to follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction).

In the expression 37. (23 + 4) ÷ 22, we first need to evaluate the expression inside the parentheses:

23 + 4 = 27

So now we have:

37. (27) ÷ 22

Next, we need to perform the multiplication operation:

37. (27) = 999

So now we have:

999 ÷ 22

Finally, we perform the division operation:

999 ÷ 22 ≈ 45.409

Therefore, the value of the expression 37. (23 + 4) ÷ 22 is approximately 45.409.

which statement about qualitative design is true? the goal of many qualitative designs is to permit causal inferences most qualitative designs involve an explicit, preplanned comparison qualitative researchers strive to achieve constancy of conditions in terms of research settings qualitative researchers often put together a complex array of data from a variety of sources

Answers

The true statement about qualitative design is "qualitative researchers regularly prepare a complicated array of records from a variety of sources."

Qualitative research usually includes accumulating records from multiple sources, along with interviews, observations, and files, among others. Researchers analyze those records in-depth to identify themes, styles, and relationships amongst them, frequently the use of an iterative technique to refine their expertise.

at the same time as qualitative research can offer valuable insights into complex phenomena, it isn't commonly designed to permit causal inferences, as it frequently involves small samples and is centered on exploring the reviews and views of contributors in place of testing hypotheses or making predictions.

Qualitative research may additionally contain some level of assessment, however that is commonly not pre-planned and can be extra exploratory in nature. in addition, reaching constancy of conditions in terms of research settings isn't always normally a number one goal of qualitative studies.

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Mandy gets utility from consuming chesse and ham. Her utility function is of the following form: U=131 Cheese +32 Ham The price of ham is $76 per pound, the price of chesse is $24 per pound and her income is $2489 What is Mandy's optimal consumption amount of ham? Selected Answer: [None Given] Correct Answer: 0±5%

Answers

As per the given statement Since consumption cannot be negative, the optimal consumption amount of ham for Mandy is 0 (±5%).

To find Mandy's optimal consumption amount of ham, we need to maximize her utility subject to her budget constraint.

Given:

U = 131(Cheese) + 32(Ham)

Price of Ham (PH) = $76 per pound

Price of Cheese (PC) = $24 per pound

Income (I) = $2489

Let x represent the amount of ham consumed. The budget constraint equation is:

PH * x + PC * (I - x) = I

Substituting the given values, we have:

76x + 24(2489 - x) = 2489

Simplifying the equation:

76x + 59736 - 24x = 2489

52x = 2489 - 59736

52x = -57247

x = -57247 / 52

x ≈ -1101.29

Since consumption cannot be negative, the optimal consumption amount of ham for Mandy is 0 (±5%).

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Mandy's optimal consumption amount of ham is within a range of \($0 \pm 5\%$\)

To determine Mandy's optimal consumption amount of ham, we need to find the quantity of ham that maximizes her utility given her budget constraint.

Let \($H$\) be the quantity of ham consumed in pounds. The price of ham is \(\$76\) per pound. Mandy's income is \(\$2489\), and her utility function is given by \($U = 131C + 32H$\), where \($C$\) represents the quantity of cheese consumed in pounds.

We can set up Mandy's budget constraint as follows:

\(\[76H + 24C = 2489\]\)

To find the optimal consumption amount of ham, we can solve this equation for \($H$\). Rearranging the equation, we have:

\(\[H = \frac{2489 - 24C}{76}\]\)

Substituting the given values, we have:

\(\[H = \frac{2489 - 24C}{76}\]\)

To calculate the optimal consumption amount of ham, we can substitute different values for \($C$\) and solve for \($H$\). The optimal value will be within a range of \($0 \pm 5\%$\) due to the uncertainty in the problem statement.

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A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yellow chip, not replacing it, and then choosing a blue chip.
I need it now!

Answers

i think this right
hope it helps
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability

Match each verbal description with the algebraic expression it represents.

Match each verbal description with the algebraic expression it represents.

Answers

Answer:

Brainly.com

Question

Match each expression to the correct verbal description.

Answer · 12 votes

(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed

Use the drawing tool(s) to form the correct answers on the provided number line.

Yeast, a key ingredient in bread, thrives within the temperature range of 90°F to 95°FWrite and graph an inequality that represents the temperatures where yeast will NOT thrive.

Use the drawing tool(s) to form the correct answers on the provided number line.Yeast, a key ingredient

Answers

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

Writing an inequality of the temperatures where yeast will NOT thrive.

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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explain a proof of the pythagorean theorem and its converse

Answers

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. The theorem can be proven using various methods, one of which is the geometric proof.

Geometric Proof of the Pythagorean Theorem:

Consider a right-angled triangle with sides of lengths a, b, and c, where c is the hypotenuse. By drawing squares on each side, we create four congruent right-angled triangles within the larger square formed by the hypotenuse. The area of the larger square is equal to the sum of the areas of the four smaller squares.

The area of the larger square is c^2, and the area of each smaller square is a^2, b^2, a^2, and b^2, respectively. Therefore, we have c^2 = a^2 + b^2, which is the Pythagorean theorem.

Converse of the Pythagorean Theorem:

The converse of the Pythagorean theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle.

To prove the converse, we assume that a triangle with sides of lengths a, b, and c satisfies the condition c^2 = a^2 + b^2. By comparing this equation to the Pythagorean theorem, we can conclude that the triangle must have a right angle opposite the side of length c.

This is one way to prove the Pythagorean theorem and its converse, demonstrating the relationship between the lengths of the sides in a right-angled triangle.

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A shirt that originally costs $35.99 is on sale for 60% off. What is the sale price of the shirt? Screen reader support enabled.

Answers

Answer:

14.40

Step-by-step explanation:

The sale price of the shirt is around $14.40 I think

Solution:

Note that:

35.99 - (35.99 x 60/100) = Sale Price

Simplify the equation to obtain the sale price.

35.99 - (35.99 x 60/100) = Sale Price=> 35.99 - (35.99 x 6/10) = Sale Price=> 35.99 - (107.97/5) = Sale Price=> 35.990 - 21.594 = Sale Price=> $14.396 = Sale Price=> $14.40 (Rounded)

The chance that two people have four repeats in location A is 1 in 100. The chance that two people have eight repeats in location B is 1 in 50. The probability that two people have three repeats in location C is 1 in 200. What is the probability that two people would have matching DNA fingerprints for these three locations by chance

Answers

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?

Answers

Answer: 16

Step-by-step explanation:

a. Assume that ????⋅????=−5,, ‖????‖=2, and ‖????‖=9. Calculate the value of 9????⋅(8????−9????).
b. Identify the vectors that are orthogonal to ????=〈1,2,1〉but not to ????=〈1,0,−1〉.
〈−3,1,1〉
〈−1,1,−1〉
〈−2,2,0〉
〈1,1,1〉
〈0,−1,2〉
c. Find the projection ????∥???? of ???? along ????, where ????∥????=x⋅????+y⋅????+z⋅????, ????=????+45???? and ????=????. x=?, y=?, z=?

Answers

None of the given vectors are orthogonal to each other.

To determine this, we can calculate the dot product of each pair of vectors. If the dot product is equal to zero, then vectors are orthogonal.

Dot product of v1 and v2:

\(v1.v2 = (1) * (-2) + (2) * (1) + (-3) * (4) = -2 + 2 - 12 = -12\)

Since the dot product of v1 and v2 is not equal to zero, v1 and v2 are not orthogonal to each other.

Dot product of v1 and v3:

\(v1 . v3 = (1) * (0) + (2) * (1) + (-3) * (1) = 0 + 2 - 3 = -1\)

Since the dot product of v1 and v3 is not equal to zero, v1 and v3 are not orthogonal to each other.

Dot product of v2 and v3:

\(v2.v3 = (-2) * (0) + (1) * (1) + (4) * (1) = 0 + 1 + 4 = 5\)

Since the dot product of v2 and v3 is not equal to zero, v2 and v3 are not orthogonal to each other.

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--The complete Question is, Suppose we have the following three vectors in three-dimensional space:

v1 = (1, 2, -3)

v2 = (-2, 1, 4)

v3 = (0, 1, 1)

Which vectors are orthogonal to each other? --

HELP ME QUICK!!!


The table models how the population of a city has changed over time. What does the y-intercept represent?

HELP ME QUICK!!!The table models how the population of a city has changed over time. What does the y-intercept

Answers

Answer:

The y intercept represents the population of the city in the year of 1985.

Step-by-step explanation:

Since it is 0 years after 1985,  it means that the population was 122,000 in 1985.

Bilquis and Kayla are reading the same book. At the beginning of the month, Bilquis was on page 23 and Kayla was on page 2. Bilquis will read 7 pages per day and Kayla will read 14 pages per day. Let
B represent the page of the book that Bilquis is on at the end oftt days into the month, and let K represent the page of the book that Kayla is on at the end of t days into the month. Write an equation for each situation,in terms of t, and determine whether Bilquis or Kayla is farther along in the book after 4 days.

Answers

Kayla has read more pages than Bilquis after 4 days, so she is farther along in the book.

The equation to represent the situation of Bilquis would be B = 23 + 7t

The equation to represent the situation of Kayla would be K = 2 + 14t

For Bilquis, the equation to represent the situation would be B = 23 + 7t, where B is the page of the book that Bilquis is on at the end of t days into the month.

For Kayla, the equation to represent the situation would be K = 2 + 14t, where K is the page of the book that Kayla is on at the end of t days into the month.

The equations help us to calculate the page number of each reader at any given point in time. Bilquis starts at page 23 and reads 7 pages a day, so we add 7t to her starting point. Kayla starts at page 2 and reads 14 pages a day, so we add 14t to her starting point. By comparing their page numbers after a certain number of days, we can determine which reader is farther along in the book.

After 4 days,

Bilquis would be on page = 23 + 7(4) = 51

Kayla would be on page = 2 + 14(4) = 58.

Therefore, Kayla would be farther along in the book after 4 days with a gap of 7 pages with Bilquis.  

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\frac{x}{y} x^2+2*x-6/x+1

Answers

The division of the polynomial x^2 + 2*x - 6 by (x + 1), using the long division method of dividing polynomials is x + 1 - 7/(x + 1)

What is the long division method?

The long division method allows the division of large numbers (which is the dividend) into the number of groups of the divisor and a remainder which is a value less than the expressed value of the divisor.

The expression \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 can be presented as follows;

\(\dfrac{x^2+2\cdot x-6}{x + 1}\)

The long division showing the steps can be obtained using code found online as follows;

\(\begin{array}{*1r {\arraycolsep}{\arraycolsep} *{11}l} & && x + 1 \\\cline{4-3}& &x+1& \longdiv {) x^2 +2\cdot x - 6& & & & & \\ & & & x^2 +x \\\cline{4-} && &\ \ \ x -6& \\ & & \ \ \ & \ \ \ x +1 \\\cline{4-} & & & \ \ \ \ \ \ \ -7 & \\ \cline{4-} \end{array}\)

The remainder of the long division is -7, therefore, we get;

\(\dfrac{x^2+2\cdot x-6}{x + 1} = x + 1 - \dfrac{7}{x+1}\)

The value of the expression, \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 following the long division is; x + 1 - 7/(x + 1)

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