if two cities lie on different tectonic plates, and those plates are moving so that the cities are approaching each other, how many years will it take for the two cities to be situated adjacent to each other? los angeles is 630 km south of san francisco. the plate under los angeles is moving north about 36 mm per year relative to the plate under san francisco. given this average rate of plate movement, how long will it take for los angeles to be located next to san francisco? show your work.

Answer:  \(g = 6\sqrt{6} \ \ \text{yards}\)

=============================================

Explanation:

When dealing with a 30-60-90 triangle, the short leg x and the long leg y can be tied together using this formula

\(y = x*\sqrt{3}\)

We see that the long leg is exactly \(\sqrt{3}\) times longer than the short leg.

Therefore we can say,

\(y = x*\sqrt{3}\\\\y = 6\sqrt{2}*\sqrt{3}\\\\y = 6\sqrt{2*3}\\\\y = 6\sqrt{6}\\\\g = 6\sqrt{6}\\\\\)

Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.

Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.

About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.

And it also for help us to convey any message and about any story teller.

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When Dylan travels 8 miles due north, the distance between the homes of the parents and grandparents is thus 9 miles.

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three named sides. With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.

given

by pythagoras theorem

\(c^{2} = a^{2} + b^{2} \\c^{2} = 8^{2} + 5^{2} \\c^{2} = 64 + 25 \\c^{2} = 89 \\c = 9\)

The homes of the parents and grandparents are thus 9 miles apart in a straight line.

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Answer:

262.8 feet

Step-by-step explanation:

To determine how much longer Sam walks, we need to calculate the distance of his actual path compared to the diagonal walkway. Using the Pythagorean theorem, we can calculate the diagonal walkway's length as follows:

diagonal walkway = √(1600² + 400²) = √(2560000) = 1600√2 ≈ 2,262.8 feet

To find Sam's actual path, we can add the distance from the entrance to the sports store (200 feet) and the distance from the sports store to the food court (800 feet):

actual path = 200 + 800 = 1000 feet

The difference between the actual path and the diagonal walkway is:

1000 - 1600√2 ≈ -262.8 feet

Since the result is negative, it means that Sam walks approximately 262.8 feet less than if he walks directly from the entrance to the food court along the diagonal walkway.

To find the equation of the parabola with its vertex at the origin and its axis along one of the coordinate axes, we can use the following steps:

Step 1: Identify the axis of the parabola.
Since the parabola's vertex is at the origin, its axis will be one of the coordinate axes. In this case, it will be either the x-axis or the y-axis.

Step 2: Determine the focus of the parabola.
Given that the focus of the parabola lies on the line 3x + 4y = 12, we can rewrite this equation in terms of either x or y to find the coordinates of the focus. Let's rewrite it in terms of x:

3x = 12 - 4y
x = (12 - 4y) / 3

The x-coordinate of the focus is (12 - 4y) / 3. Since the parabola's vertex is at the origin, the y-coordinate of the focus will be 0.

So, the coordinates of the focus are [(12 - 4y) / 3, 0].

Step 3: Find the equation of the parabola.
Since the vertex is at the origin, the general equation of a parabola with its vertex at the origin and axis along the x-axis is given by:

x^2 = 4ay

where "a" is the distance between the focus and the vertex.

Using the coordinates of the focus we found in Step 2, we can substitute [(12 - 4y) / 3, 0] into the equation:

[(12 - 4y) / 3]^2 = 4a(0)

Simplifying the equation further:

(12 - 4y)^2 = 0

Expanding and solving for y:

144 - 96y + 16y^2 = 0

16y^2 - 96y + 144 = 0

Dividing the equation by 16:

y^2 - 6y + 9 = 0

Factorizing the quadratic equation:

(y - 3)^2 = 0

Taking the square root of both sides:

y - 3 = 0

y = 3

So, the equation of the parabola is x^2 = 4a(3), which simplifies to x^2 = 12a.

In conclusion, the equation of the parabola with its vertex at the origin and axis along one of the coordinate axes, where the focus lies on the line 3x + 4y = 12, is x^2 = 12a.

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Answer:

Step-by-step explanation:

425=25x-10x-250

675=15x

x=45

45 calculators were sold.

Mark brainliest please if this answer work please

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Answer:

3009.9

Step-by-step explanation:

so we know that 3.96% is yearly. if it is compounded monthly. We have to split 3.96% into 12 months. This makes 0.33% per month. Now we just need to do 100.33% of 3000 to get 3009.9. Hope this helped :)

Answer:

$110.78

Step-by-step explanation:

$76.40 × 45%

$34.38

$76.40 + $34.38

$110.78

Answer:

See attached image

Step-by-step explanation:

I'm uncertain as to the "best statement."  None seem to accurately describe the situation. I picked the one that was least incorrect (if that makes any sense).

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Explanation:

The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.

__

For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.

A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.

The net result is that 50 skilled hours and 165 unskilled hours are worked each week.

__

We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)

Using this assumption, job completion occurs at the equivalent rate of ...

  50 +165/3 = 105 . . . equivalent skilled hours per week

The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)

__

In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.

Answer:

Step-by-step explanation:

(-1 -4)/(2 - 3) = -5/-1 = 5

y - 4 = 5(x - 3)

y - 4 = 5x - 15

y = 5x - 11

Answer:

well for th first part 105

Step-by-step explanation:

20x3=60=45-105

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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The formula for multiplying two vectors is: (a b) x (a - b) = (a x a)b - (a x b)b = ab² - a²b.

In this case, (a b) x (a - b) = 3i - 7j - 2k x 3i + 7j + 2k = 9i² - 49j² - 4k².

The formula for the cross product of two vectors is (a b) × (a − b) = (a × a) − (a × b) − (b × a) + (b × b). Since the cross product of a vector with itself is zero, this simplifies to (a b) × (a − b) = − (a × b) − (b × a).

Now, we can substitute the given value of a×b into this formula:

(a b) × (a − b) = − (3i − 7j − 2k) − (3i − 7j − 2k)

Simplifying this further gives:

(a b) × (a − b) = −6i + 14j + 4k

Therefore, the cross product of (a b) and (a − b) is −6i + 14j + 4k.

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Answer:

3

Step-by-step explanation:

The population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

To compare the densities of Philadelphia and Pottstown, we need to calculate the population density for each city. Population density is typically measured as the number of individuals per unit area.

For Philadelphia:

Population = 1,579,000

Land area = 134.28 sq miles

Population density = Population / Land area

Population density = 1,579,000 / 134.28

Population density \(^\sim_\sim\) 11,761.76 people per square mile

For Pottstown:

Population = 22,670

Land area = 4.85 sq miles

Population density = Population / Land area

Population density = 22,670 / 4.85

Population density \(^\sim_\sim\) 4,672.16 people per square mile

Therefore, the population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

Comparing the two, we can see that Philadelphia has a higher population density compared to Pottstown.

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Answer:

Yes, it's very helpful!

Step-by-step explanation:

Step-by-step explanation:

_5(5)(5)

you need to use pythagreon

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

To solve a system of equations word problem, you need to follow these steps:

Find the key information in the word problem that can help you define the variables.

Define two variables: x and y

Write two equations.

Use the elimination method or the substitution method for solving systems of equations.

Check the solution by substituting the ordered pair into the original equations.

For this problem, you can define x as the number of adult tickets and y as the number of student tickets. Then, you can write two equations based on the information given:

x - y = 15 (She sells 15 fewer student tickets than adult tickets)

8x + 5y = 315 (Adult tickets are $8 each and student tickets are $5 each, and the total sales are $315)

You can use either the elimination method or the substitution method to solve this system of equations. For example, using the substitution method, you can solve for y in the first equation and then substitute it into the second equation:

y = x - 15

8x + 5(x - 15) = 315

13x - 75 = 315

13x = 390

x = 30

Then, you can find y by plugging x into the first equation:

y = 30 - 15

y = 15

You can check the solution by substituting x and y into the original equations and see if they are true:

30 - 15 = 15 (True)

8(30) + 5(15) = 315 (True)

Therefore, the solution is x = 30 and y = 15, which means she sells 30 adult tickets and 15 student tickets.

The equation that would give you the solution if t represents the number of tickets is:

8t + 5(t - 15) = 315

Step-by-step explanation:

The correct answer is A. No, because there are more than two possible outcomes, and the trials are not independent.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

Given by the question.

To have a binomial distribution, four requirements must be satisfied:

There are a fixed number of trials.

Each trial has only two possible outcomes, success or failure

The trials are independent.

The probability of success remains the same for all trials.

In the given procedure, there are more than two possible outcomes, as a teenager could have committed a crime or not, but also committed different types of crimes. Additionally, the trials are not independent, as the behavior of one teenager may influence the behavior of another teenager. Therefore, the given procedure does not result in a binomial distribution.

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Answer:

Jake has $11.29 dollars left.

Step-by-step explanation:

To find the answer, we will add up $5 + $6.50 + $7.21 and we get $18.71.  Now subtract $30 from 18.71, which is $11.29.  Therefore, Jake has $11.29 dollars left.

Answer:

  54°

Step-by-step explanation:

Multiplication is not involved.

The trig relation that is concerned with the opposite and adjacent sides of an angle in a right triangle is the tangent relation:

  Tan = Opposite/Adjacent

  tan(θ) = 41/30

The value of the angle is found using the inverse tangent function:

  θ = arctan(41/30) ≈ 53.807°

The angle of elevation is about 54°.

_____

Additional comment

The mnemonic SOH CAH TOA is often used as a reminder of the relationship between right triangle sides and trig functions. The other two relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For finding angles, the inverse trig relations are used. These can be called "arcsine," "arccosine," and "arctangent." They are often shown in functional form as (respectively) sin⁻¹, cos⁻¹, and tan⁻¹. On a calculator, they are often "2nd" or "Shift" or "Alt" functions of the sin, cos, and tan keys.

By takin a quotient, we will see that she can make 4 complete cards in the time she has.

We know that Susan has (1 + 1/2) hours to make cards, and each card takes (1/3) of an hour to make.

To find the total number of cards that Susan can make, we need to take the quotient between the time she has and the time that takes making a single card.

Then we will get:

N = (1 + 1/2)/(1/3)

N = (1 + 1/2)*3

N = 3 + 3/2

N = 3 + 2/2 + 1/2

N = 4 + 1/2

So she can make 4 cards (and a half ) in the time she has left.

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If there is a linearly independent set of vectors {v1, v2, ..., vp} in a vector space V, then the dimension of V must be greater than or equal to p.

The dimension of a vector space refers to the number of vectors in its basis, which is the smallest set of vectors that can span the entire space.

In this case, the set {v1, v2, ..., vp} is linearly independent, meaning that none of the vectors can be expressed as a linear combination of the others.

Since the set is linearly independent, each vector in the set adds a new dimension to the vector space. This is because, by definition, each vector in the set cannot be represented as a linear combination of the others. Therefore, to span the space, we need at least p dimensions, each corresponding to one of the vectors in the set. Therefore, the dimension of V must be greater than or equal to p in order to accommodate all the linearly independent vectors.

If a vector space V contains a linearly independent set of p vectors, the dimension of V must be greater than or equal to p. This is because each vector in the set adds a new dimension to the space, and we need at least p dimensions to accommodate all the linearly independent vectors.

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Answer:

the answer will be -3

Step-by-step explanation:

Answer:  1) y = (-5/7)x + 11/7

               2) y = (-1/4)x - 3

               3) y = (1/2)x - 1

Step-by-step explanation:

Use the Point-Slope equation:    y - y₁ = m(x - x₁)    where

(x₁, y₁) = (-2, 3)     m = -5/7

y - 3 = -5/7(x + 2)

y - 3 = (-5/7)x - 10/7

y      = (-5/7)x + 11/7

(x₁, y₁) = (-4, -2)     m = -1/4

y + 2 = -1/4(x + 4)

y + 2 = (-1/4)x - 1

y      = (-1/4)x - 3

(x₁, y₁) = (2, 0)     m = 1/2

y - 0  = 1/2(x - 2)

y - 0 = (1/2)x - 1

y      = (1/2)x - 1

Answer: 59 buses

Step-by-step explanation:

117/2 = about 59 buses rounded to the nearest whole number because a bus can't be split in half!