What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

The divergence of vector fields at all points where they are defined ar 4x - 2xcos(xz) for all points in R3.

The divergence of the given vector field F = (2x^2 - sin(xz)) i + 5j - (sin (xz)) k can be found using the formula for divergence:

div(F) = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z)

Here, Fx = (2x² - sin(xz)), Fy = 5, and Fz = -sin(xz). Taking the partial derivatives, we get:

∂Fx/∂x = 4x - zcos(xz)

∂Fy/∂y = 0

∂Fz/∂z = -xcos(xz)

Therefore, the divergence of F is:

div(F) = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z) = 4x - zcos(xz) - xcos(xz) = 4x - 2xcos(xz)

The divergence of F is defined for all points where F is defined, which is the entire 3-dimensional space. So, the divergence of F is 4x - 2xcos(xz) for all points in R3.

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The value for x in the problem given is,

x= 90 degrees.

In a plane, when two straight roads intersect, the opposite angles formed are equal. This means that the sum of the two angles at each intersection of Ridge Road with Maple Avenue and Pine Street is equal to 180 degrees.

Let's call the angle between Ridge Road and Maple Avenue "x". The angle between Ridge Road and Pine Street is then also "x".

Therefore, the total measure of the angles at the intersection of Ridge Road and Maple Avenue is 180 degrees:

x + x = 180 degrees

So,

2x = 180 degrees

And finally,

x = 90 degrees.

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Answer:

298

Step-by-step explanation:

Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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The expected gain after 16 tosses of the coin is $400.

Let x stand in for your entire savings.

There is a 0.5 likelihood of heads and a 0.5 possibility of tails. (equally likely events).

The value of accepting this offer is 1.5. The formula is as follows:

2 heads.

0.5 = P(Heads)

Value anticipated if the coin came out heads: 2x*0.5 = x

Plus

(1 - 0.5)x = 0.5x for tails.

0.5 = P(Tails)

Value anticipated if the coin came up tails: 0.5x*0.5 = 0.25x

Total projected value is equal to 1.25x.

For x = $20

Thus,

Amount = 1.25(20) = $25.

Thus, for the 16 tosses = $25 x 16 = $400.

Therefore, the expected gain after 16 tosses of the coin is $400.

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Answer:

wattttttttt/tttttttttttt

The equation \(y =\frac{x}{c} *\frac{x}{c} *x\) represents a non- linear function.

How is the function of the equation determined?

\(y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }\)

This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)

What is a non-linear function?

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To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Answer:

B and D

Step-by-step explanation:

Equations with the same x- term on both sides will have no solution

A

4x - 13 = 5(x + 4) = 5x + 20

4x ≠ 5x

This equation has a solution

B

5(3 + 2x) = 10x + 4

15 + 10x = 10x + 4

10x on both sides ⇒ no solution

C

2(3 - 5x) = 8(x + 1)

6 - 10x = 8x + 8

- 10x ≠ 8x

This equation has a solution

D

9x - 6 = 3(3x - 2) = 9x - 6

9x on both sides ⇒ no solution

Answer:

44 tranquilizers

Step-by-step explanation:

The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.

The terms on a polynomial are generally separated by "+" or "-"; for the given polynomial the terms are:

abcd

e

h^2

Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

The probability of picking 3 white marbles in succession with replacement is 27/4913. Option b is correct.

Calculate the probability of picking one white marble and then multiply it by itself for three consecutive picks to find the probability of picking 3 white marbles with replacement since each marble is returned to the bag.

The probability of picking one white marble is 3/17 (3 white marbles out of a total of 17 marbles in the bag).

Therefore, the probability of picking 3 white marbles in succession with replacement is (3/17) × (3/17) × (3/17) = 27/4913.

So, the correct answer is b. 27/4913.

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Answer:

12 toppings

Step-by-step explanation:

To do this, we need to write an equation for each place, and then, equal both equations to solve for this.

Let's call "y" the price of the pizza, and "x" the number of toppings.

At Vincents, pizza costs 6.75 + 0.75 for each topping, so the equation here would be:

y = 6.75 + 0.75x  (1)

Now, at italian pizza, a pizza costs 6.15 + 0.80 per topping, so the equation:

y = 6.15 + 0.80x  (2)

Now, we don't need to know the actual price of the pizza, we only want to know how many toppings we need to add on both places, so the pizza has the same price. We have both equations, it's time to equal both of them:

Equalling (1) and (2) we have:

6.75 + 0.75x = 6.15 + 0.80x

Now, let's solve for x:

6.75 - 6.15 = 0.80x - 0.75x

0.6 = 0.05x

x = 0.6 / 0.05

x = 12

So the number of toppings to include in the pizza so the price is the same for both places, will have to be 12 toppings.

Answer:

12 toppings and the prize will be the same.

Step-by-step explanation:

Let

number of toppings = a

Medium pizza at Vincent's

cost  = 6.75 + 0.75a

Medium pizza at Original Italian Pizza

cost  = 6.15 + 0.80a

For the cost to be the same

6.75 + 0.75a = 6.15 + 0.80a

collect like terms

6.75 - 6.15 = 0.80a - 0.75a

0.6  = 0.05a

divide both sides by 0.05

a = 0.6/0.05

a = 12  

12 toppings and the prize will be the same.

The variance of the distribution is 0.964.

What is the variance?

The squared deviation from the mean of a random variable is referred to as variance in probability theory and statistics. The square of the standard deviation is another common way to express variation. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another.

Here, we have

Given:

x    P(r)

0    0.130

1      0.346

2     0.346

3      0.154

4       0.026

We have to find the variance of the distribution.

Var(X) = E(X²) - (E(X))²...(1)

E(X²) = ∑x²Pₓ(X=x)

E(X²) = 0×0.130 + 1²×0.346 + 2²×0.346 + 3²×0.154 + 4²×0.026

E(X²) = 3.532

Now,

E(X) = ∑xPₓ(X=x)

E(X) =  0×0.130 + 1×0.346 + 2×0.346 + 3×0.154 + 4×0.026

E(X) = 1.604

Now, we put the value of E(X) and E(X²) in equation (1) and we get

Var(X)  = 3.532 - (1.604)²

Var(X)  = 0.95918

Var(X)  = 0.964

Hence, the variance of the distribution is 0.964.

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The helipad's location, in relation to the airport, is approximately (10.87 miles east, 28.81 miles north).

To determine the helipad's location in relation to the airport, we can use the concept of velocity and bearing. Let's break down the information provided:

Speed of the helicopter: 90 miles per hour

Bearing of the helicopter: 250 degrees

Time flown before landing: 20 minutes

First, we need to convert the time flown into hours. Since 1 hour is equal to 60 minutes, we can divide 20 minutes by 60 to get the time flown in hours:

20 minutes / 60 = 1/3 hour

Now, let's calculate the distance the helicopter traveled during this time. We can use the formula:

Distance = Speed × Time

Distance = 90 miles per hour × 1/3 hour

Distance = 30 miles

The helicopter traveled a distance of 30 miles from the airport.

Next, we need to determine the direction of the helipad from the airport. The bearing of 250 degrees means the helicopter was flying in a direction that is 250 degrees clockwise from true north. To find the direction from the airport to the helipad, we need to subtract 180 degrees from the bearing:

250 degrees - 180 degrees = 70 degrees

So, the helipad is located at a bearing of 70 degrees from the airport.

Now, we can find the coordinates of the helipad using trigonometry. Let's assume the airport is located at coordinates (0, 0) on a coordinate plane. The x-axis represents the east-west direction, and the y-axis represents the north-south direction.

To find the x-coordinate of the helipad, we can use the cosine function:

x = Distance × cos(Bearing)

x = 30 miles × cos(70 degrees)

To find the y-coordinate of the helipad, we can use the sine function:

y = Distance × sin(Bearing)

y = 30 miles × sin(70 degrees)

Now, let's calculate these values:

x = 30 miles × cos(70 degrees) ≈ 10.87 miles

y = 30 miles × sin(70 degrees) ≈ 28.81 miles

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The helipad's location in relation to the airport is 10.26 miles to the left (west) and 28.19 miles below (south) of the airport.

Given data:

Helicopter speed: 90 miles per hour

Bearing: 250 degrees

Time in flight: 20 minutes

First, convert the time in flight from minutes to hours:

Time in flight = 20 minutes / 60 minutes per hour = 1/3 hour

Next, to find the displacement vector of the helicopter during its flight. The displacement vector is the magnitude of the velocity (speed) multiplied by the time in flight. In this case, the magnitude is 90 miles per hour and the time is 1/3 hour:

Displacement vector = 90 miles/hour * 1/3 hour = 30 miles

To determine the helipad's location, consider both the magnitude and direction. The bearing of 250 degrees indicates the direction of flight with respect to a reference point.

Using trigonometric functions, determine the horizontal and vertical components of the displacement vector. The horizontal component can be calculated as the magnitude (30 miles) multiplied by the cosine of the bearing (250 degrees): To find the direction from the airport to the helipad, we need to subtract 180 degrees from the bearing:

250 degrees - 180 degrees = 70 degrees

So, the helipad is located at a bearing of 70 degrees from the airport.

Now, determine the coordinates of the helipad using trigonometry. Let's assume the airport is located at coordinates (0, 0) on a coordinate plane. The x-axis represents the east-west direction, and the y-axis represents the north-south direction.

To find the x-coordinate of the helipad, use the cosine function:

x = Distance × cos(Bearing)

x = 30 miles × cos(70°)

To find the y-coordinate of the helipad, use the sine function:

y = Distance × sin(Bearing)

y = 30 miles × sin(70°)

x = 30 miles × cos(70°) ≈ 10.26 miles

y = 30 miles × sin(70 degrees) ≈ 28.19 miles

Hence, the helipad's location in relation to the airport is 10.26 miles west and 28.19 miles (south).

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Answer:

1st

Step-by-step explanation:

Explanation in the picture.

The total profits made from the sales is $26.15.

Harley and Dakaria are selling small cups of hot chocolate for $0.75 and large cups of hot chocolate for $1.50.

They sold 4 small cups of hot chocolate and 22 large cups of hot chocolate. They spent $9.85 that they will need to pay back to the bank.

Therefore, the profit they make in small cups can be calculated as follows:

amount sold in small cups \(= 0.75 \times 4 = 3\) dollars

amount sold in large cups \(= 22 \times 1.50 = 33\) dollars

Therefore,

profits made \(= 36 - 9.85 = \$26.15\)

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Complete Question:

Harley and Dakaria are selling small cups of hot chocolate for $0.75 and large cups of hot chocolate for $1.50. They sold 4 small cups of hot chocolate and 22 large cups of hot chocolate. They spent $9.85 that they will need to pay back to the bank. How much profit did they make in Small Cups?

64*256*1,024=16,777,216

#\(#RosalindIsHereToHelp\)

Answer:

from the left the right it should look like this;

4, 1, 2800, 7, 400

Answer:

2 head and 1 tail form my side

Answer:

x = 4

y = 15

Step-by-step explanation:

4x-y=1

-3x+y=3

In elimination, you have to have at least one term where they are opposites, but with equal coefficients. Since this requirment is met, we can add the 2 equations. This gives us:

x=4

Now we substitute x to find y.

4(4)-y=1

16-y=1

-y=-15

y=15

Answer:

(2, 9 )

Step-by-step explanation:

4x - y = - 1 → (1)

- 3x + y = 3 → (2)

adding the 2 equations term by term will eliminate y

x + 0 = 2

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

4(2) - y = - 1

8 - y = - 1 ( subtract 8 from both sides )

- y = - 9 ( multiply both sides by - 1 )

y = 9

solution is (2, 9 )

Answer:

x=27

Step-by-step explanation:

let x be the amount of hours she needs to work

she gets 12 dollars per hour, and they already have 100

12x+100=424

12x=324

x=324/12

x=27

Answer:

X=27

Step-by-step explanation:

I took the top number, 27 and I multiplied it by 12 and I got 324 and since Shae, her sister, has $100 and $324+$100=$400, she has to work 27 more hours.

If you need to like show equations then just take the 2 equations I did.

Answer:

x+26=290

x=290-26

x=264

264÷6=44

Answer:

y = 6

Step-by-step explanation:

You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21

7(9x + 3y = -18)

-3(8x + 7y = 10)

63x + 21y = -126

-24x -21y = -30

39x          = -156

and solve to get x = -4

then plug -4 into x any of the equations to get y = 6

( 8(-4) + 7y  = 10

  -32 + 7y  =  10

      7y = 42

        y = 6)

Answer:

The first equation should be multiplied by - 7 and the second equation by 3 .

Step-by-step explanation:

answer on edge

The fixed asset turnover ratio for Gemology Inc. is 8.5.

The fixed asset turnover ratio measures how efficiently a company utilizes its fixed assets to generate sales.

It is calculated by dividing net sales by average net fixed assets.

To calculate the average net fixed assets, we sum the net fixed assets at the beginning and end of the period and divide by 2.

Given the information provided,

The net fixed assets at the beginning of the period are $125,000 and the net fixed assets at the end of the period are $75,000.

Therefore, the average net fixed assets would be

($125,000 + $75,000) / 2 = $100,000.

The net sales for Gemology Inc. are $850,000.

Now, we can calculate the fixed asset turnover ratio by dividing net sales ($850,000) by the average net fixed assets

($100,000): $850,000 / $100,000 = 8.5.

Therefore, the fixed asset turnover ratio for Gemology Inc. is 8.5, indicating that the company generates $8.50 of sales for every dollar invested in fixed assets.

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

The missing values of time and distance are 2, 7 and 30 respectively.The solution has been obtained by the concept of linear relationship.

What is linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association).

We are given a table which represents a linear relationship.

In the table, it can be observed that for covering 18 km of distance, 6 minutes are required.

So, for covering 1 km of distance, 1/3 minutes are required

Therefore, for covering 6 km of distance, time required is

6 * 1/3 = 2 minutes

Similarly, for covering 21 km of distance, time required is

21 * 1/3 = 7 minutes

In 6 minutes, 18 km of distance is covered.

So, in 1 minute, the distance covered is 3 km.

Therefore, in 10 minutes, the distance covered is

10 * 3 = 30 km

Hence, the missing values are 2, 7 and 30 respectively.

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