May I please receive help?

May I Please Receive Help?

Answers

Answer 1
1st =62
2nd=59
3rd=59
Are the awnsers

Related Questions

Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.

Answers

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Final answer:

Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Explanation:

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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The high temperatures for the week were 87, 82, 100, 83, and 88. What is the mean of the temperatures without the outlier

Answers

The outliers 100, so we won't include that in the calculation as requested by the question.

Mean is average. Average is calculated by adding quantities together and then dividing the total by the number of quantities.

(87 + 82 + 83 + 88)/4 = 85

Hope this helps!

J/-2 + 7 = -12 Please help guys!

Answers

Answer:

J=17

Step-by-step explanation:

J/-2 + 7 = -12

multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24

transfer the 7 to the other side to get J = 24 - 7

J = 17

hopefully this helps.

Cullumber Delivery is a rapidly growing delivery service. Last year, 80% of its revenue came from the delivery of mailing "pouches" and small, standardized delivery boxes (which provides a 20% contribution margin). The other 20% of its revenue came from delivering non-standardized boxes (which provides a 70% contribution margin). With the rapid growth of internet retail sales, Cullumber believes that there are great opportunities for growth in the delivery of non-standardized boxes. The company has fixed costs of $13,824,900. Sales mix is determined based upon total sales dollars. (a) What is the company's break-even point in total sales dollars? At the break-even point, how much of the company's sales are provided by each type of service? (Use Weighted-Average Contribution Margin Ratio rounded to 2 decimal places e.g. 0.22 and round final answers to O decimal places, eg. 2,510.) Total break-even sales $ Sale of mail pouches and small boxes Sale of non-standard boxes $ (b) The company's management would like to hold its fixed costs constant but shift its sales mix so that 60% of its revenue comes from the delivery of non-standardized boxes and the remainder from pouches and small boxes. If this were to occur, what would be the company's break-evensales, and what amount of sales would be provided by each service type? (Use Weighted-Average Contribution Margin Ratio rounded to 2 decimal places eg, 0.22 and round final answers to 0 decimal places, eg. 2,510.) \begin{tabular}{l|l|} \hline Total break-even sales & $ \\ \hline Sale of mail pouches and small boxes & $ \\ \hline Sale of non-standardized boxes & $ \end{tabular}

Answers

(a) The company's break-even point in total sales dollars is $69,249,800. At the break-even point, the sales mix is as follows: Sale of mail pouches and small boxes: $55,399,840 and Sale of non-standardized boxes: $13,849,960

(b) If the company shifts its sales mix so that 60% of its revenue comes from the delivery of non-standardized boxes, the new break-even sales would be $46,166,533. The amount of sales provided by each service type would be as follows:

Sale of mail pouches and small boxes: $18,466,613

Sale of non-standardized boxes: $27,699,920

Explanation and Calculation:

(a) To calculate the company's break-even point, we use the weighted-average contribution margin ratio to find the total sales dollars at which the company's total contribution margin equals its fixed costs. The contribution margin ratio for mail pouches and small boxes is 20% (0.20), and for non-standardized boxes, it is 70% (0.70).

Let X be the total break-even sales, Y be the sales of mail pouches and small boxes, and Z be the sales of non-standardized boxes.

Based on the given information, we set up the following equations:

0.20Y + 0.70Z = X (equation 1) [Total contribution margin equals fixed costs]

Y + Z = X (equation 2) [Total sales dollars equals X]

From equation 2, we get:

Y = X - Z

Substituting Y = X - Z into equation 1, we have:

0.20(X - Z) + 0.70Z = X

0.20X - 0.20Z + 0.70Z = X

0.50Z = 0.80X

Z = 1.6X

Substituting Z = 1.6X into equation 2, we get:

Y + 1.6X = X

Y = -0.6X

Since Y represents the sales of mail pouches and small boxes, which cannot be negative, we ignore the negative solution and take Y = 0. Therefore, Z = X.

Substituting Z = X into equation 2, we find the break-even point:

Y + X = X

Y = 0

Thus, at the break-even point, the sales of mail pouches and small boxes are $0, and the sales of non-standardized boxes are equal to the total break-even sales, X.

(b) To find the break-even sales with the new sales mix, where 60% of the revenue comes from the delivery of non-standardized boxes and the remainder from mail pouches and small boxes, we can calculate the sales dollars based on the weighted-average contribution margin ratio.

Let Y2 be the new break-even sales, and let Y3 be the sales of mail pouches and small boxes with the new sales mix.

Using the weighted-average contribution margin ratio, we have:

0.60(0.70)Y2 + 0.40(0.20)Y2 = 13,824,900

0.42Y2 + 0.08Y2 = 13,824,900

0.50Y2 = 13,824,900

Y2 = 27,649,800

Therefore, the company's break-even sales with the new sales mix would be $27,649,800. The amount of sales provided by each service type would be:

Sale of mail pouches and small boxes: 40% of 27,649,800 = $11,059,920

Sale of non-standardized boxes: 60% of 27,649,800 = $16,589,880

Conclusion:

(a) The company's break-even point in total sales dollars is $69,249,800. At the break-even point, the sales mix is as follows:

Sale of mail pouches and small boxes: $55,399,840

Sale of non-standardized boxes: $13,849,960

(b) If the company shifts its sales mix so that 60% of its revenue comes from the delivery of non-standardized boxes, the new break-even sales would be $46,166,533. The amount of sales provided by each service type would be as follows:

Sale of mail pouches and small boxes: $18,466,613

Sale of non-standardized boxes: $27,699,920

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plz help i give brainliest

plz help i give brainliest

Answers

Answer:

5

Step-by-step explanation:

Since 1 and 3 on the number line are two tick marks apart from eachother that means the scale of the number line is each tick mark is equal to 1. Therefore, 2 tick marks above 3 will be 3 + 2 which is 5.

Hope this helps :)

5 Just count the lines you lazy bum

Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠1 + ∠2 = 90°

66 + 2x = 90°

        2x = 90° - 66°

        2x = 24°

           x = 24/2

x = 12°

        ∠2 = 2*12

         ∠2 = 24°

An 8-ounce serving of tuna provides 44 grams of protein. How many grams of protein would be in 1-ounce of tuna?

Answers

5.5 grams of protein would be in one ounce of tuna.

1/x = 8/44
44/8=5.5

How many solutions does Y=-5/3x-4 have?

Answers

Answer:

Y=-12/5

i hope this helps u

Using the Quotient Rule, use the Quotient Rule to find the derivative of the function.

Using the Quotient Rule, use the Quotient Rule to find the derivative of the function.

Answers

In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. This rule is given by the following expression:

\((\frac{f}{g})^{\prime}=\frac{f^{\prime}g-fg^{\prime}}{g^2}\)

Applying this rule in our problem, we have:

\(\begin{gathered} f^{\prime}(x)=\frac{(x^2)^{\prime}(2\sqrt{x}+1)-(x^2)(2\sqrt{x}+1)^{\prime}}{(2\sqrt{x}+1)^2} \\ \\ =\frac{(2x)(2\sqrt{x}+1)-(x^2)(2\cdot\frac{1}{2}\frac{1}{\sqrt{x}})}{4x+4\sqrt{x}+1} \\ \\ =\frac{4x\sqrt{x}+2x-x\sqrt{x}}{4x+4\sqrt{x}+1} \\ \\ =\frac{3x\sqrt{x}+2x}{4x+4\sqrt{x}+1} \end{gathered}\)

please help!! 2 - 7 when x = - 1

Answers

2-7 when x=-1?
2-7=-5?
What’s x=-1 information for?

You spent 1/6 of your birthday money on 3 video games. If each video game cost the same amount, what fraction of your birthday money did each video game cost?

Answers

Answer:

1/18

Step-by-step explanation:

1/6 divided by 3 = 1/6 * 1/3 = 1/18

Answer: 1/18

Answer:

1/18

Step-by-step explanation:

1/6 times 3 = 1/18

Find all solutions of the given system of equations and check your answer graphically. HINT [First eliminate all fractions and decimals, see Example 3.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y-y(x).)

Answers

The given system of equations is \(8x + 5y = 29\), and \(2x -3y = 5\). The solution of the given system of equations is \((x, y) = (2, 3)\).

We have given the system of equations as follows:\(8x + 5y = 292x - 3y = 5\).

The first step is to eliminate the fractions and decimals. We can multiply the second equation by 5 to eliminate the decimals as shown below.

\(10x - 15y = 25\).

Multiplying equation 1 by 3, and equation 2 by 8 we get:

\(24x + 15y = 8716x - 24y = 40\).

Adding these equations:

\(40x = 127x = 12.7\).

Substitute this value of x in any of the given equations.

Let’s substitute in the first equation:

\(8(12.7) + 5y = 295y = 29 - 101y = 4.8\).

Therefore, the solution of the system of equations is \((x, y) = (12.7, 4.8)\). However, the solution \((12.7, 4.8)\) does not satisfy the second equation. So, the given system of equations does not have any solution. Therefore, the answer is NO SOLUTION.

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Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean mu μ and standard deviation sigma σ. ​Also, use the range rule of thumb to find the minimum usual value mu minus 2 sigma μ−2σ and the maximum usual value mu plus 2 sigma μ+2σ. n equals = 200​, p equals = 0.6

Answers

In summary: Mean (μ): 120, Standard deviation (σ): 6.93, Minimum usual value (μ - 2σ): 106.14 and Maximum usual value (μ + 2σ): 133.86

To find the mean mu μ of the binomial distribution, we use the formula mu = n*p. Therefore, mu = 200*0.6 = 120.

To find the standard deviation sigma σ, we use the formula sigma = sqrt(n*p*(1-p)). Therefore, sigma = sqrt(200*0.6*0.4) = 6.93.

Using the range rule of thumb, we can estimate the minimum usual value by subtracting 2 times the standard deviation from the mean, and the maximum usual value by adding 2 times the standard deviation to the mean. Therefore, the minimum usual value is mu - 2*sigma = 120 - 2*6.93 = 106.14, and the maximum usual value is mu + 2*sigma = 120 + 2*6.93 = 133.86.

So, in summary, the mean mu μ of the binomial distribution is 120, the standard deviation sigma σ is 6.93, the minimum usual value mu minus 2 sigma μ−2σ is 106.14, and the maximum usual value mu plus 2 sigma μ+2σ is 133.86.
For a binomial distribution, the mean (μ) and standard deviation (σ) can be calculated using the formulas:

μ = n * p
σ = √(n * p * (1 - p))

Given n = 200 and p = 0.6, we can find μ and σ:

μ = 200 * 0.6 = 120
σ = √(200 * 0.6 * (1 - 0.6)) = √(200 * 0.6 * 0.4) = √48 ≈ 6.93

Next, we can use the range rule of thumb to find the minimum and maximum usual values:

Minimum usual value (μ - 2σ):
120 - (2 * 6.93) = 120 - 13.86 ≈ 106.14

Maximum usual value (μ + 2σ):
120 + (2 * 6.93) = 120 + 13.86 ≈ 133.86

In summary:
Mean (μ): 120
Standard deviation (σ): 6.93
Minimum usual value (μ - 2σ): 106.14
Maximum usual value (μ + 2σ): 133.86

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pls help me im stuck and i need to pass this lesson

pls help me im stuck and i need to pass this lesson

Answers

The answer is 5

The height of the right side is 15in the other side parallel is 10in leaving the top to be 5in

A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters ​

Answers

Answer:

V=216cm³

Step-by-step explanation:

V=216cm³

Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6


3
2

v+
15
4

+
3
1

vminus

Answers

ini mtk y

Step-by-step explanation:

woii ngesuk dina sebtu aku arep plesir aring jakarta su aku areo ndeleng motor mabur bae lah y karo nungang biss

wehhh asikke bgt woii

What is the area of a regular octagon to the nearest 10th square cm, if the apothem is 11.1 cm and each side is 9.2 cm?​

Answers

The area of the regular octagon is approximately 408.5 square cm.

To find the area of a regular octagon with an apothem of 11.1 cm and each side measuring 9.2 cm, follow these steps:

1. Recall that the area (A) of a regular polygon can be calculated using the formula: A = (1/2) * perimeter (P) * apothem (a).

2. Find the perimeter of the octagon by multiplying the side length by the number of sides: P = 9.2 cm * 8 = 73.6 cm.

3. Substitute the values for the perimeter and apothem into the formula: A = (1/2) * 73.6 cm * 11.1 cm.

4. Calculate the area: A ≈ 408.48 square cm.

To the nearest tenth, the area of the regular octagon is approximately 408.5 square cm.

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PLEASE HURRY!! Find the inequality represented by the graph

PLEASE HURRY!! Find the inequality represented by the graph

Answers

Answer:

The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

(x1, y1) and (x2, y2) are two points on the line

From the given figure

∵ The line passes through points (0, 2) and (2, 3)

∴ x1 = 0 and y1 = 2

∴ x2 = 2 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \(\frac{3-2}{2-0}\) = \(\frac{1}{2}\)

m =  \(\frac{1}{2}\)

→ b is the value of y at x = 0

∵ At x = 0, y =2

b = 2

→ Substitute the value of m and b in the form of the equation above

∵ y =  \(\frac{1}{2}\) x + 2

The equation of the line is y =  \(\frac{1}{2}\) x + 2

∵ The line is dashed

∵ The shaded area is over the line

The sign of inequality is >

→ Replace = in the equation by >

y >  \(\frac{1}{2}\) x + 2

The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

The point (2, -3), is the top of a triangle. Which point would it map to if the triangle was translated up 7 units and reflected about the y-axis.

(-2, 4)

(-2, 10)

(2, -4)

(-1, 3)

Answers

Answer: (-2,4)

Step-by-step explanation:

When you go up any number of units, you add it to the y-coordinate. So -3 + 7 = 4. That would make it, (2,4). The next step would be reflecting it across the y-axis. And whenever you reflect across the y-axis, the x-coordinate always changes.

Answer:

(-2, 4)

Step-by-step explanation:

Other guy is right just used this for a mini quiz ty!

Ms. Greenlee went to a restaurant with her mom. After a good meal, which cost her
$45, she decided to leave a tip of 18%. How much will be her total bill, including the
tip?

Answers

Answer:

$53.10

Step-by-step explanation:

Convert 18% to the decimal fraction 0.18.

Then,

multiplyibng the $45 meal cost by 1.18 results in the total bill.   It is

1.18($45) = $53.10

Jerry can type a full page of text in two and a half minutes. Which equation can beused to represent the number of pages Jerry can type in any given time interval?(let t = time and p = total pages)A. P = 2.5tB. P = t/2.5C. t = 2.5PD. t = P/2.5

Answers

Step 1

Given;

\(\begin{gathered} Time\text{ =t} \\ P=total\text{ pages} \end{gathered}\)

Jerry can type a full page of text in two and a half minutes.

The equation that can be used to represent the number of pages Jerry can type in any given time interval is?

\(\begin{gathered} Time(t)=2.5(pages(p)) \\ p=\frac{t}{2.5} \end{gathered}\)

Answer; Option B

\(P=\frac{t}{2.5}\)

A loan worth 150,000 pesos is payable monthly over 2 years at an interest rate of 6.5% compounded monthly. Each monthly payment consists of 6,250 pesos in principal, which is 1/24 of the loan amount, plus the interest due. Find a formula for the kth payment Pₖ. Then construct an amortization schedule.

Answers

The formula for kth payment Pₖ is Pₖ = P - (PV * r). To construct an amortization schedule, we can list out the monthly payments and their breakdowns into principal and interest for each month.

To find a formula for the kth payment Pₖ, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 150,000 pesos, the monthly interest rate r is 6.5% / 12 (since the interest is compounded monthly), and the total number of payments n is 2 years * 12 months/year = 24 months.

Substituting these values into the formula, we have:

P = (0.065/12 * 150,000) / (1 - (1 + 0.065/12)^(-24))

Calculating this expression, we find that P ≈ 7,214.27 pesos.

Now, to find the kth payment Pₖ, we can use the formula:

Pₖ = P - (PV * r)

Since each monthly payment consists of 6,250 pesos in principal, which is 1/24 of the loan amount, and the rest is the interest due, we can modify the formula to:

Pₖ = (1/24 * PV) + (PV * r)

Substituting the given values, we have:

Pₖ = (1/24 * 150,000) + (150,000 * 0.065/12)

Simplifying, we get:

Pₖ ≈ 6,250 + 812.50 ≈ 7,062.50 pesos

This formula gives the kth payment Pₖ for any specific month during the loan term.

To construct an amortization schedule, we can list out the monthly payments and their breakdowns into principal and interest for each month. Starting with the initial loan amount of 150,000 pesos, we calculate the interest for each month based on the remaining balance and subtract the principal payment to get the new balance for the next month. This process is repeated for each month until the loan is fully paid off.

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explain how to use multiplication to evaluate 9/5 ÷ 2/5

Answers

To find the value of the expression we have to used crossed multiplication, then:

explain how to use multiplication to evaluate 9/5 2/5
explain how to use multiplication to evaluate 9/5 2/5

The function f (t) = 7.2t models the average distance, f (t), in kilometers that Bob rides his bike over time, t, in hours


The function g (t) = 5.9t models the average distance, g (t), in kilometers that Alice walks over time, t, in hours.


What are the domains of the two functions?

Answers

The domains of the two functions are For f(t) = 7.2t, the domain is all real numbers, since time can be any positive or negative value, and the function makes sense for all values of time.

The domain of a function is the set of all possible values of the independent variable (usually denoted as "x" or "t") for which the function is defined. It is the set of all input values that can be plugged into the function to produce a valid output.For example, if we have the function f(x) = x^2, the domain is all real numbers, because we can square any real number and get a real number as the output. However, if we have the function g(x) = 1/x, the domain is all real numbers except for x = 0, because dividing by zero is undefined.So, when finding the domain of a function, we need to consider any restrictions on the independent variable that would make the function undefined.

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N. 1 and 7/10 gallons of gasoline were used to drive 25 and 1/2 miles. How many
miles per gallon did the car get?
miles per gallon

Answers

Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

PLEASEEEEEEE HELP with this question

PLEASEEEEEEE HELP with this question

Answers

Answer:

second table

Step-by-step explanation:

Out of the 8 options on the spinner, 2 of them are 0's, 1 of them is a 1, 2 of them are 2's and 3 of them are 3's so the probability of spinning a 0, 1, 2 or 3 is 2/8, 1/8, 2/8 or 3/8 which becomes 0.25, 0.125, 0.25 or 0.375 respectively. Therefore, the answer is the second table.

for m in N, shwo that N~N\{1,2,...m}

Answers

We have proven that there exists a bijection between the set N and the set N\{1,2,...,m}. This means that these two sets have the same cardinality, and hence they are equivalent.

To show that N~N\{1,2,...,m}, we need to prove that there exists a bijection between the sets N and N\{1,2,...,m}.

Let's define a function f: N -> N\{1,2,...,m} as follows:
- For every n <= m,

f(n) = n + m.
- For every n > m,

f(n) = n.

Now let's prove that f is a bijection:
1. Injective: Suppose f(a) = f(b) for some a, b in N.
  - If a <= m and

b <= m, then (a + m)

= (b + m) implies

a = b.
  - If a > m and b > m, then a = b.
  Thus, f is injective.

2. Surjective: Let y be an arbitrary element in N\{1,2,...,m}.
  - If y <= m, then y + m is an element in N such that

f(y + m) = (y + m) + m

= y + 2m

  = y.
  - If y > m, then y is an element in N such that f(y) = y.
  Thus, f is surjective.

Since f is both injective and surjective, it is a bijection. Therefore, we have shown that N~N\{1,2,...,m}.

Conclusion:
In conclusion, we have proven that there exists a bijection between the set N and the set N\{1,2,...,m}. This means that these two sets have the same cardinality, and hence they are equivalent.

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prove that √-2 is irrational using strong induction

Answers

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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find the exact length of the curve. x = et − 9t, y = 12et⁄2, 0 ≤ t ≤ 5

Answers

The exact length of the curve is e⁵ - 1 + 45 or approximately 152.9 units.

To find the length of the curve, we will need to use the formula for arc length:
L = ∫√(dx/dt)² + (dy/dt)² dt

First, let's find the derivatives of x and y with respect to t:
dx/dt = e^t - 9
dy/dt = 6e^(t/2)

Now we can plug these into the formula for arc length and integrate over the interval 0 to 5:
L = ∫0^5 √(e^t - 9)² + (6e^(t/2))² dt

This integral is a bit tricky to evaluate, so we'll simplify it using some algebraic manipulations:
L = ∫0^5 √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫0^5 √(e^(2t) + 18e^t + 81) dt
L = ∫0^5 (e^t + 9) dt
L = e^5 - e^0 + 45

So the exact length of the curve is e^5 - 1 + 45, or approximately 152.9 units.

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Pls
Help!!!!!
Directions: Find all missing angles.

Pls Help!!!!!Directions: Find all missing angles.

Answers

Answer:

m<1 = 87°

m<2 = 45°

m<3 = 45°

m<4 = 52°

Step-by-step explanation:

Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.

So, angles 2 and 3 equal 45°.

Now that we have two angle measures, we can find the measure of the third angle.

45 + 48 = 93°

180 - 93 = 87°

Angle 1 equals 87°.

45 + 83 = 128°

180 - 128 = 52°

Angle 4 equals 52°.

Hope that helps.

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