The coordinates of the endpoints of qr are q (8, 2) and r (5, 7).which measurement is closest to the length of qr in units? a 5.8 units b 5 units c 4 units d 3.9 units

Answer:

b_>-2 so the circle is going to be on top of -2 and it is going to be closed, going to the right

The correct answer is "move in trends."

Technical analysis is a methodology used to evaluate securities and identify trading opportunities based on statistical trends and patterns in their price and volume movements.

It is based on the idea that the price of a security reflects all available information, and that this price is determined by the interaction between supply and demand in the market.

Technical analysts believe that stock prices move in trends, meaning that they tend to continue in the same direction over a certain period of time. They use various tools and techniques, such as charts and indicators, to identify these trends and make trading decisions based on them.

While technical analysis does not predict the future price movements of securities with certainty, it provides traders with a framework to understand market behavior and make informed decisions.

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To compute the 99% confidence interval for the population mean, you need to determine the appropriate sample size to ensure that the sample mean does not deviate from the population mean by more than 1.3. The key terms involved in this process are the confidence interval, sample size, population mean, and sample mean.

The confidence interval represents the range within which the population parameter (in this case, the population mean) is likely to fall, given a certain level of confidence. A 99% confidence interval means that you are 99% confident that the true population mean falls within the specified range.

To calculate the required sample size, you will need to use the formula for the margin of error (E), which is E = (Zα/2 * σ) / √n, where Zα/2 is the critical value associated with the desired level of confidence (99%), σ is the population standard deviation, and n is the sample size.

Since you want the sample mean to not deviate from the population mean by more than 1.3, you will need to set E = 1.3 and solve for n. After finding the critical value for a 99% confidence interval (which is approximately 2.576) and assuming you know the population standard deviation, you can plug these values into the formula and solve for n.

By doing this, you will be able to determine the appropriate sample size to ensure that the 99% confidence interval for the population mean is within 1.3 units of the sample mean.

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The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

17 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A(- 6, - 4) and (x₂, y₂ ) = B(9, - 12)

AB = \(\sqrt{(9+6)^2+(-12+4)^2}\)

     = \(\sqrt{15^2+(-8)^2}\)

     = \(\sqrt{225+64}\)

      = \(\sqrt{289}\)

      = 17 units

Answer:

17 units

Step-by-step explanation:

If this figure was a parallelogram, then the opposite angles would be congruent. This would make angles B and D the same measure

angle B = angle D

x^2+20 = 7x+50

x^2+20-7x-50 = 0 .... get everything to one side

x^2-7x-30 = 0

(x-10)(x+3) = 0 ... see note below

x-10 = 0 or x+3 = 0

x = 10 or x = -3

Note: In this step is where the factoring occurs. To factor, we need to find two numbers that multiply to -30 which is the last term, and also add to -7 which is the middle coefficient. This is a trial and error process. You should find that -10 and 3 both multiply to -30 and add to -7. I suggest making a table as shown below (attached image) to list out all the possible choices.

Perhaps a much more efficient route is to use the quadratic formula.

-----------------

We found two possible solutions for x. If x = 10, then 7x+50 is 7(10)+50 = 120 which is an obtuse angle. If x = -3, then 7x+50 = 7(-3)+50 = 29 which is acute.

Assuming the diagram is drawn to scale, this means angle D is obtuse and we'll go with x = 10 and 7x+50 = 120

Angles A and D add to 180 degrees. This is true for any pair of adjacent angles in a parallelogram.

A+D = 180

A+120 = 180

A = 180-120

-----------------

This answer is based on the assumption that the diagram is drawn to scale and that this quadrilateral is a parallelogram.

Answer:

\(\angle A=60\textdegree\)

Step-by-step explanation:

So we have the following parallelogram and we wish to solve for ∠A.

To do so, we will need to solve for x first. Look carefully at the parallelogram...

Notice that ∠A and ∠D are consecutive angles. In other words:

\(\angle A+\angle D=180\)

Since we have an equation for ∠D, substitute:

\(\angle A+7x+50=180\)

Notice that ∠A and ∠B are also consecutive angles. So:

\(\angle A+\angle B=180\)

We know the equation for ∠B. Substitute:

\(\angle A+x^2+20=180\)

Since both equations equal 180, we can set them equal to each other:

\(\angle A+7x+50=x^2+20+\angle A\)

Let's subtract ∠A from both sides. This gives us:

\(7x+50=x^2+20\)

Now, we can solve for x. This is a quadratic, so let's move all the terms to one side. To start off, let's subtract 50 from both sides:

\(7x=x^2-30\)

Now, let's subtract 7x from both sides:

\(0=x^2-7x-30\)

Solve for x. We can factor.

Here's the trick to factoring. If we have the following:

\(0=ax^2+bx+c\)

The we will need to find two numbers, p and q, such that:

\(p+q=b\text{ and } pq=ac\)

In our equation, a is 1, b is -7, and c is -30.

So, we want two numbers that sum to -7 and multiply to (1)(-30)=-30.

We can use -10 and 3. -10+3 is -7 and -10(3) is -30. So, let's substitute our b term for -10x and 3x. In other words, we have:

\(0=x^2-7x-30\)

Substitute -7x for 3x-10x. This gives us:

\(0=x^2+3x-10x-30\)

This is equivalent to our old equation.

Now, we can factor. Factor out a x from the first two terms:

\(0=x(x+3)-10x-30\)

And factor out a -10 from the two last terms:

\(0=x(x+3)-10(x+3)\)

Since the expressions within the parentheses are the same, we can use grouping to acquire:

\(0=(x-10)(x+3)\)

Note that this is essentially the distribute property. If we distribute, we will get the same as above.

Zero Product Property:

\(x-10=0\text{ or }x+3=0\)

Solve for x:

\(x=10\text{ or } x=-3\)

So, we have two cases for x. Each case will yield a different answer for ∠A.

Case I: x=10

Use our original equation of:

\(\angle A+7x+50=180\)

Substitue 10 for x:

\(\angle A+7(10)+50=180\)

Multiply:

\(\angle A+70+50=180\)

Add:

\(\angle A+120=180\)

Subtract 120 from both sides:

\(\angle A=60\textdegree\)

So, in our first case, ∠A is 60°

Case II: x=-3

Again, same equation:

\(\angle A+7x+50=180\)

This time, substitute -3 for x. This yields:

\(\angle A+7(-3)+50=180\)

Multiply:

\(\angle A-21+50=180\)

Add:

\(\angle A+29=180\)

Subtract 29 from both sides:

\(\angle A=151\textdegree\)

So, in our second case, ∠A is 151°

However, 151° doesn't seem likely with how the figure is drawn.

Therefore, our final answer is 60°.

And we're done!

Edit: Fixed Incorrect Answer

We can solve the given separable differential equation as follows:Firstly, separate the variables and write the equation in the form of `dy/y = -8dx`.Integrating both sides, we get `ln|y| = -8x + C_1`, where `C_1` is the constant of integration.

The given separable differential equation is `dy/dx = -8y`. We need to find the particular solution that satisfies the initial condition `y(0) = 2`.To solve the given differential equation, we first separate the variables and get the equation in the form of `dy/y = -8dx`.Integrating both sides, we get `ln|y| = -8x + C_1`, where `C_1` is the constant of integration.Rewriting the above equation in the exponential form, we have `|y| = e^(-8x+C_1)`.We can take the constant `C = e^(C_1)` and then replace `|y|` with `y`, to get `y = Ce^(-8x)` (where `C = e^(C_1)`).

This is the general solution of the given differential equation.Now, to find the particular solution, we substitute the initial condition `y(0) = 2` in the general solution, i.e., `y = Ce^(-8x)`Substituting `x = 0` and `y = 2`, we get `2 = Ce^(0)`i.e., `2 = C`Therefore, the particular solution satisfying the initial condition is `y = 2e^(-8x)`.

Therefore, the solution to the separable differential equation `dy/dx = -8y` satisfying the initial condition `y(0) = 2` is `y = 2e^(-8x)`.

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Answer:

bvlo

Step-by-step explanation:

gv

Answer:

\(a_{n} = 12 -3(n-1)\)

Step-by-step explanation:

\(a_{1} = 12\\a_{n} = a_{n-1} - 3\)

we have to find formula for nth term of series for this problem

\(a_{1} = 12\\a_{2} = a_{2-1} - 3 = a_{1} -3 = 12 -3 = 9\\a_{3} = a_{3-1} - 3 = a_{2} -3 = 9 -3 = 6\)

Thus, we see series is 12, 9 ,6

Thus, we can see that series is decreasing by unit of 3.

and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.

Hence, this is a decreasing AP series

In AP

nth term is given

nth term = a+(n-1)d

where a is the first term

d is the common difference

common difference is given by = nth term - (n-)th term

lets take 2nd and 1st term to get common difference.

d = 9-12 = -3

(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)

a = 12

thus, nth term = a +(n-1)d

nth term = 12 +(n-1)(-3)

nth term = 12 -3(n-1)

writing this in form of \(a_{n}\)

\(a_{n} = 12 -3(n-1)\)  Answer

There  is no maximum value of κ on the curve y=3e^x.

To find the point of maximum curvature on the curve y=3e^x, we need to first find the second derivative of y with respect to x, which will give us the curvature of the curve:

y = 3e^x

y' = 3e^x (since the derivative of e^x is e^x)

y'' = 3e^x (since the second derivative of e^x is also e^x)

Now, to find the point of maximum curvature, we need to set y'' equal to zero and solve for x:

y'' = 3e^x = 0

e^x = 0

This equation has no real solutions, which means that there is no point of maximum curvature on the curve y=3e^x.

To find the maximum curvature, we can use the formula:

κ = |y''| / (1 + y'^2)^(3/2)

Since we know that y'' = 3e^x, we can simplify this formula to:

κ = 3e^x / (1 + (3e^x)^2)^(3/2)

To find the maximum value of κ, we can take the derivative of κ with respect to x and set it equal to zero:

dκ/dx = 3e^x (9e^2x - 2) / (1 + 9e^2x)^(5/2) = 0

This equation has no real solutions, which means that there is no maximum value of κ on the curve y=3e^x.

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Answer:

D

Step-by-step explanation:

Just go 4 units left for the x value and 2 units up for the y value

The number of particles in 1 mol of substance is given by the Avogadro's constant. Its value is: \(N_A\)= 6.02214076×10²³ mol⁻¹

The definition of Avogadro's constant is:

The Avogadro constant is the proportionality factor that relates the number of constituent particles in a sample with the amount of substance in that sample. Its SI unit is the reciprocal mole, and it is defined exactly as

\(N_A\)= 6.02214076×10²³ mol⁻¹. (per mol).

Thus, the number of particles in 1 mol of substance is given by the Avogadro's constant. Its value is: \(N_A\)= 6.02214076×10²³ mol⁻¹

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Answer:

37/5

Step-by-step explanation:

7 2/5 = 37/5

5x7=35

35+2=37

Multiply the whole number and denominator then, add the numerator and put the sum of that back ontop of the denominator

Example:

W N/D   DxW=X  X+N= Y  

W N/D = Y/D

Answer:

t+3t=2-3+122

4t=121

divide both sides by four

4t/4=121/4

t=3.25

Answer:

t = 30.5

Step-by-step explanation:

t-122=\(\frac{3t}{2-3}\)

t-122=-3t           (2-3=-1, so divide by -1 to get -3t)

4t=122

t=\(\frac{122}{4}\)

t=30.5

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

a. The assembly's force constant is 25,943 lb/in.

b. The work required to compress the assembly the first half-inch is 4,000 in-lb, and the work required to compress the assembly the second half-inch is 0 in-lb.

a. To find the assembly's force constant, we can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the displacement. We can calculate the force constant (k) by dividing the force (F) by the displacement (Δx). In this case, the force is 43,668 lb, and the displacement is 11 in - 5 in = 6 in.

Therefore, the force constant is 43,668 lb / 6 in = 7,278 lb/in.

b. The work done to compress a spring is given by the formula W = (1/2)kΔx², where W is the work, k is the force constant, and Δx is the displacement. In the first half-inch of compression, the displacement is 0.5 in. Plugging in the values, we get W = (1/2) * 7,278 lb/in * (0.5 in)² = 1,819.5 in-lb. Rounded to the nearest whole number, the work required is 1,820 in-lb.

In the second half-inch of compression, the displacement is 0.5 in. However, since the spring is already fully compressed to a height of 5 inches, no additional work is needed to compress it further. Therefore, the work required is 0 in-lb.

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

3.44

Step-by-step explanation:

3*16=48+7=55     55/16=3.4375

Answer:

3.44

Step-by-step explanation:

  3.4375 rounded to the nearst hundredth is 3.44

Answer:

No, 2x + 3 ≠ x/2 + 3/4.

2x + 3 = 2(x/2 + 3/2)

Answer:

  not equivalent; one is 1/4 of the other

Step-by-step explanation:

You want to know if the expressions (2x +3) and (x/2 +3/4) are equivalent, and why or why not.

The two expressions are equivalent if they have the same value for all values of x. When we let x=0, the values of these expressions are ...

  2x +3 = 2·0 +3 = 3

  x/2 +3/4 = 0/2 +3/4 = 3/4

Since 3 ≠ 3/4, the two expressions are not equivalent for every value of x, hence are not equivalent.

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Answer:

5

Step-by-step explanation:

The person traveled 5 miles altogether just in two directions like he turned a corner. 3 miles north and 2 miles east. Hope this helped :)

Answer:

g⁻¹(x) = -1/2x - 5

Step-by-step explanation:

Step 1: Define function

g(x) = -2x - 10

y = -2x - 10

Step 2: Find g⁻¹(x)

x = -2y - 10

0 = -2y - x - 10

2y = -x - 10

y = -1/2x - 5

Step 3: Rewrite

g⁻¹(x) = -1/2x - 5

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

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Answer:

104

Step-by-step explanation:

women = 8/8

men = 5/8

all workers = 8/8 + 5/8 = 13/8

extra women workers = 8/8 - 5/8 = 3/8

so...

3/8 = 24

13/8 = x

( cross multiplication method)

3/8 x = 39

x = 104

Hence, there are 104 workers

Answer:

104 workers

Step-by-step explanation:

w = women

m = men = 5/8 w

w - 5/8 w = 24

w = 64      then m = 5/8 * 64 = 40        total = 104

Answer:

£4290

Step-by-step explanation:

£5500 x (1.00-0.22)

the x (1.00-0.22) is showing we are decreasing by 22%

can also be written like

(£5500x1) - (£5500x0.22)

(2, 1,985.5) is not a solution of the equation y = 2200(0.95)x.

What is solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Consider, the given equation

y = 2200(0.95)x

And the point given is, (2, 1985.5).

From this x = 2, y = 1985.5

Plug x = 2 in the above equation,

y = 2200(0.95)(2)

y = 4180 ≠ 1985.5

Hence, the given point (2, 1985.5) is not a solution to the equation

y = 2200(0.95)x.

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