Solve the system of differential equations S x1 = – 5x1 + 0x2 – 16x1 + 322 X2' x1(0) = 1, X2(0) = 5 21(t) = = 22(t) - = X2

In the scale drawing of the 2 pentagons the value of x is 3

To find the value of x in the pentagon, the scale factor is first determined

The scale factor is solved for as follows

AB * r = PQ

in the figure AB = 5 and PQ =2.5

5r = 2.5

r = 2.5 / 5

r = 0.5

Using the scale factor r = 0.5

6 * r = x

6 * 0.5 = x

3 = x

x = 3

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Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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Answer:

The unit rate: 13 mi/gallon. Fraction 39/3

Step-by-step explanation:

39 miles/3 gallons. Simplify. 13 miles/1 mile=13 mi/gallon

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The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

To sketch the graph of a function that has a local maximum at 6 and is differentiable at 6, we can consider a function that approaches a maximum value at 6 and has a smooth, continuous curve around that point.

In the graph, we can depict a curve that gradually increases as we move towards x = 6 from the left side. At x = 6, the graph reaches a peak, representing the local maximum. From there, the curve starts to decrease as we move towards larger x-values.

The important aspect to note is that the function should be differentiable at x = 6, meaning the slope of the curve should exist at that point. This implies that there should be no sharp corners or vertical tangents at x = 6, indicating a smooth and continuous transition in the graph.

By incorporating these characteristics into the graph, we can represent a function with a local maximum at 6 and differentiability at that point.

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The probability of each event, if you draw the following, are:

1. 1/13

2. 13/40

3. 1/2

4. 2/13

5. 3/13

6. 45/52

7. 3/4

8. 1/2

9. 5/26

10. 1/52

11. 1/52

we have,

To find the probabilities of each event when drawing cards from a standard deck of 52 cards, we need to determine the favorable outcomes and divide them by the total number of possible outcomes.

Probability of drawing a jack:

Favorable outcomes: 4 jacks (one jack in each suit)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes = 4 / 52 = 1 / 13

Probability of drawing a diamond or a jack:

Favorable outcomes: 13 diamonds (all diamond cards) + 4 jacks (one jack in each suit, including the jack of diamonds)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= (13 + 4) / 52

= 17 / 52

= 13 / 40

Probability of drawing a black card:

Favorable outcomes: 26 black cards (clubs and spades, half of the deck)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes = 26 / 52 = 1 / 2

Probability of drawing an ace or a 9:

Favorable outcomes: 4 aces (one ace in each suit) + 4 nines (one nine in each suit)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= (4 + 4) / 52 = 8 / 52 = 2 / 13

Probability of drawing a 7, an 8, or a king:

Favorable outcomes: 4 sevens (one seven in each suit) + 4 eights (one eight in each suit) + 4 kings (one king in each suit)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= (4 + 4 + 4) / 52 = 12 / 52 = 3 / 13

Probability of drawing a card that is not odd (ace, 3, 5, 7, 9, jack, or king):

Favorable outcomes: 52 cards - 7 odd cards = 45 cards

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= 45 / 52

Probability of drawing a card that is not a diamond:

Favorable outcomes: 52 cards - 13 diamonds = 39 cards

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= 39 / 52

= 3 / 4

Probability of drawing a card that is not a diamond or a heart:

Favorable outcomes: 52 cards - 13 diamonds - 13 hearts = 26 cards

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= 26 / 52 = 1 / 2

Probability of drawing a card that is not greater than 10:

Favorable outcomes: 10 cards (2, 3, 4, 5, 6, 7, 8, 9, 10)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= 10 / 52

= 5 / 26

Probability of drawing a red diamond:

Favorable outcomes: 1 red diamond (the 2 of diamonds)

Total outcomes: 52 cards

Probability = Favorable outcomes / Total outcomes

= 1 / 52

Probability of drawing a black club:

Favorable outcomes: 1 black club (the 2 of clubs)

Probability = Favorable outcomes / Total outcomes

= 1/52

Thus,

The probability of each event, if you draw the following, are given above.

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Answer:

Step-by-step explanation:

8.45 x 10^4 = 84,500 in standard form

Answer:

See Explanation

Step-by-step explanation:

Given

Let the bench be B and the flagpole be T.

So:

\(B = (0,10)\) --- given

The flagpole is represented by the triangular shape labelled T.

So, we have:

\(T = (6,9)\)

See attachment for the rectangular bench and the flagpole

From the attached image, the location of the other bench is:

\(B' = (0,-10)\)

And the location of the other flagpole is:

\(T' = (-6,9)\)

So, we have:

\(B = (0,10)\) ==> \(B' = (0,-10)\)

\(T = (6,9)\) ==> \(T' = (-6,9)\)

When a point is reflected from \((x,y)\) to \((x,-y)\), the transformation rule is reflection across x-axis.

So the rigid transformation that takes \(B = (0,10)\) to \(B' = (0,-10)\) is: reflection across x-axis.

When a point is reflected from \((x,y)\) to \((-x,y)\), the transformation rule is reflection across y-axis.

So the rigid transformation that takes \(T = (6,9)\) to \(T' = (-6,9)\) is: reflection across y-axis.

Answer:

Step-by-step explanation:

The formula to find the area of a circle is

So as you can see, if you have the area of the circle, you can see get the measure of its radius:

Now that you have the measure of the radius of the circle, you can obtain its circumference using this formula:

So, you have

Therefore, the correct answer is option B.

The solutions to the given equations are

1) x = g + c

2) \(a = \frac{k}{u}\) OR a = k/u

3) x = g - c

4) a = z + m

5) a = u + k

6) \(a = \frac{dr}{c}\) Or a = dr/c

7) \(a = \frac{c}{dr}\) OR a = c / dr

8) \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) a = b + k - u

11) a = b + k + vw

12) \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13)  \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) \(x = \frac{g}{(r+d)} +c\)

For each of the equations, we will solve for the required variable

1) g = x - c, for x

To solve for x, we will add c to both sides, that is

g +c = x - c + c

g + c = x

∴ x = g + c

2) u = k / a, for a

This can be written as \(u = \frac{k}{a}\)

To solve for a, we will first multiply both sides by a, that is

\(a \times u = \frac{k}{a} \times a\)

Then, we get

\(au = k\)

Now, divide both sides by u

\(\frac{au}{u} = \frac{k}{u}\)

∴ \(a = \frac{k}{u}\) OR a = k/u

3) g = x + c, for x

To solve for x, we will subtract c from both sides

g - c = x + c - c

g - c = x

∴ x = g - c

4) z = a - m, for a

To solve for a, we will add m to both sides

z + m = a - m + m

z + m = a

∴ a = z + m

5)  u = a - k, for a

To solve for a, we will add k to both sides

u + k = a - k + k

u + k = a

∴ a = u + k

6) ac = dr, for a

Here, to solve for a, we will divide both sides by c

\(\frac{ac}{c} = \frac{dr}{c}\)

∴ \(a = \frac{dr}{c}\) Or a = dr/c

7) c / a = dr, for a

This can be written as

\(\frac{c}{a} = dr\)

To solve for a, we will first multiply both sides by a

\(a \times \frac{c}{a} = dr \times a\)

\(c = dra\)

Now, divide both sides by dr

\(\frac{c}{dr} = \frac{dra}{dr}\)

\(\frac{c}{dr} = a\)

∴ \(a = \frac{c}{dr}\) OR a = c / dr

8)  k / x = w - v, for x

This can be written as

\(\frac{k}{x} = w-v\)

To solve for x we will first multiply both sides by x

\(x\times \frac{k}{x} =x \times (w-v)\)

\(k =x (w-v)\)

Now, divide both sides by (w - v)

\(\frac{k}{(w-v)} = \frac{x(w-v)}{(w-v)}\)

\(\frac{k}{w-v} = x\)

∴ \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) m / a = p + n, for a

This can be written as

\(\frac{m}{a} = p + n\)

To solve for a, we will first multiply both sides by a

\(a \times \frac{m}{a} = a \times (p + n)\)

\(m = a (p + n)\)

Now, divide both sides by (p+n)

\(\frac{m}{(p+n)} = \frac{a(p+n)}{(p+n)}\)

\(\frac{m}{p+n} = a\)

∴ \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) u = b + k - a, for a

To solve for a, we will subtract (b + k) from both sides

u - (b + k) = b + k - (b + k) - a

u - b - k = b + k - b - k - a

Then,

u - b - k = - a

Now, multiply through by -1

-1 ×(u - b - k) = -1 × -a

-u +b +k = a

Then, we can write that

b + k - u = a

∴ a = b + k - u

11) a - k = b + vw, for a

To solve for a, add k to both sides

a - k + k = b + k + vw

∴ a = b + k + vw

12) ma = b + n - p, for a

To solve for a, divide both sides by m

\(\frac{ma}{m} = \frac{b+n-p}{m}\)

∴ \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13) am = b (p - n), for a

To solve for a, divide both sides by m, that is

\(\frac{am}{m} = \frac{b(p-n)}{m}\)

∴ \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) mx = y (p - n ), for x

To solve for x, divide both sides by m

\(\frac{mx}{m} = \frac{y(p-n)}{m}\)

∴ \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) g = (r + d) (x - c), for x

To solve for x,

First, divide both sides by (r + d)

\(\frac{g}{(r+d)} = \frac{(r+d)(x-c)}{(r+d)}\)

\(\frac{g}{(r+d)} = x -c\)

Now, add c to both sides

\(\frac{g}{(r+d)} + c= x -c+c\)

\(\frac{g}{(r+d)} + c= x\)

∴ \(x = \frac{g}{(r+d)} +c\)

Hence, the solutions to the given equations are

1) x = g + c

2) \(a = \frac{k}{u}\) OR a = k/u

3) x = g - c

4) a = z + m

5) a = u + k

6) \(a = \frac{dr}{c}\) Or a = dr/c

7) \(a = \frac{c}{dr}\) OR a = c / dr

8) \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) a = b + k - u

11) a = b + k + vw

12) \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13)  \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) \(x = \frac{g}{(r+d)} +c\)

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Answer:

Step-by-step plotttt

Answer:

23.54

Step-by-step explanation:

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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It is possible for a security with a positive standard deviation of returns to have a beta of zero if its returns are uncorrelated with the market.

The beta of an asset measures its sensitivity to market movements. A beta of zero indicates that the asset's returns are uncorrelated with the market. If a security has a positive standard deviation of returns, it means that it is still subject to some risk, even if it is not correlated with the market. Therefore, it is possible for a security with a positive standard deviation of returns to have a beta of zero if its returns are uncorrelated with the market.

According to the CAPM, the expected return on an asset is equal to the risk-free rate plus the market risk premium multiplied by the asset's beta. If a security has a beta of zero, then its expected return would be equal to the risk-free rate, regardless of its standard deviation of returns. This is because the asset's returns are uncorrelated with the market, and therefore it does not bear any systematic risk.

It is possible for a security with a positive standard deviation to have an expected return from the CAPM that is less than the risk-free rate if its beta is negative. Such a security would be considered very risky, as it would move in the opposite direction of the market. If such a security were to exist, it may not have many willing buyers, as it would be considered a very high-risk investment.

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I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

117.6    

Step-by-step explanation:

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

We can expect that about 56 people out of a randomly selected group of 140 people at least 16 years old would participate in wildlife-related activities.

If 40% of the U.S. population 16 years old and older participate in wildlife-related activities, we can expect that 0.4 × 100 = 40 out of 100 people in this age group participate in these activities.

To find out how many people out of a group of 140 would participate in wildlife-related activities, we can use the following formula:

number of people participating = (percent participating / 100) × total number of people

Using the above formula, we can calculate the number of people participating in wildlife-related activities as follows:

number of people participating = (40 / 100) × 140

= 56

We may anticipate that 40 out of 100 persons in this age range will engage in wildlife-related activities if 40% of Americans aged 16 and over participate in such activities.

We may use the following calculation to determine how many of a group of 140 individuals would engage in wildlife-related activities:

Participation rate divided by the total number of participants yields the number of participants.

The following formula can be used to determine how many individuals engage in wildlife-related activities:

Total number of participants = (40/100) 140

= 56

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Answer:

this question provides no content for me to answer but i want the points and i will be taking them Thankyou!

Step-by-step explanation:

here is the same sentence translated in spanish

el viaje en coche desde la casa de kileys hasta el aeropuerto

The value of the angle 7 is 80 degrees. Option B

A transversal line can be defined as a line that intersects two or more lines at distinct points.

It is important to note that corresponding angles are equal.

Also, the sum of angles on straight line is equal to 180 degrees.

From the information given, we have that;

Angle 3 and angle 7 are corresponding angles

Also, we have that

Angle 3 and angle 4 are on a straight line

equate the angles

<3 + 100 = 180

collect the like terms

<3 = 180 - 100

<3 = 80 degrees

Then, the value of <7 is 80 degrees

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the value of ∂x/∂z at (π, 1, 0) is (2π/e) + (6/e).Thus, the required solution is obtained. If the equation x2ey+z−6cos(x−6z)=π2e+6 defines z implicitly as a differentiable function of x and y.

Given equation is: x2ey+z−6cos(x−6z)=π2e+6

To find ∂x/∂z at (π, 1, 0)Let F(x, y, z) = x2ey+z−6cos(x−6z)And G(x, y) = π2e+6Then, the given equation can be written as, F(x, y, z) = G(x, y)Differentiating both sides w.r.t x, we get, ∂F/∂x + ∂F/∂z . ∂z/∂x = ∂G/∂x

Differentiating both sides w.r.t z, we get,

∂F/∂x . ∂x/∂z + ∂F/∂z = 0

On substituting the given values, we get, x = π, y = 1 and z = 0 and G(x, y) = π2e+6

Hence, ∂F/∂x

= 2πe + 6sin(6z − x)∂F/∂z

= ey + 6sin(6z − x)∂G/∂x

= 0∂G/∂y = 0∂z/∂x

= − (∂F/∂x)/ (∂F/∂z)

=− [2πe + 6sin(6z − x)]/[ey + 6sin(6z − x)]

Putting the values of x = π, y = 1, and z = 0, we get∂z/∂x = − [2πe + 6sin(−π)]/[e] = (2π + 6)/e = (2π/ e) + (6/e)

Hence, the value of ∂x/∂z at (π, 1, 0) is (2π/e) + (6/e).Thus, the required solution is obtained.

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Answer:

x=3y-29/y-8

Step-by-step explanation:

3(y-10)+1=x(y-8)

xy-8x=3y-29

x(y-8)=3y-29

/y-8        /y-8

x=3y-29/y-8

Answer:

I think 270m

Step-by-step explanation:

450x60=27.000 so 270 m

Answer:

238

Step-by-step explanation:

Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc

opposite angles in a quadrilateral formed inside of a circle area supplementary

Supplementary meaning that they add up to equal 180

So 13x + 15 + 8x - 3 = 180

We now solve for x

step 1 combine like terms

13x + 8x = 21x

15 - 3 = 12

12 + 21x = 180

step 2 subtract 12 from each side

12 - 12 cancels out

180 - 12 = 168  

21x = 168

step 3 divide each side by 21

21x / 21 = x

168 / 21 = 8

we're left with x = 8

Now we substitute 8 for x in 13x + 15

13 ( 8 ) + 15

13 * 8 = 104

104 + 15 = 119

So ∠FAH = 119

Recall that an included angle is equal to half the measure of its intercepted arc.

so arc mFGH = 2 (119)

2 * 119 = 238

Therefore your answer is A

Answer:

C

Step-by-step explanation:

The others are repeated

Answer:

\(\text{D. }44.\overline{4}\)

Step-by-step explanation:

*The person who asked this question clarified answer choice D should be \(\text{D. }44.\overline{4}\).

Define a terminating decimal by a decimal that has a finite (or fixed) number of digits. Answer choices A, B, and C all have a finite number of digits, thus they are terminating decimals. The overline is answer choice D is using to represent that digit (4) is repeating and therefore there are an infinite number of digits in the decimal. Thus, \(\boxed{\text{D. }44.\overline{4}}\) is not a terminating decimal.