Carlos spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. the plane maintains a constant altitude of 7275 feet. carlos initially measures an angle of elevation of 20°
∘
to the plane at point aa. at some later time, he measures an angle of elevation of 37°
∘
to the plane at point bb. find the distance the plane traveled from point aa to point bb. round your answer to the nearest foot if necessary.

Answer:

b.430

Step-by-step explanation:

Nick needs to sell 20 treats per week to break even.

To break even, Nick needs to sell enough treats to cover his operating costs and the cost of producing the treats. We can use the following equation to find the number of treats he needs to sell:

20 + 0.50x = 1.50x

Where x is the number of treats he needs to sell. We can rearrange this equation to solve for x:

1.50x - 0.50x = 20

1x = 20

x = 20

Therefore, Nick needs to sell 20 treats per week to break even.

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Answer: yeeet

Step-by-step explanation:

dap

Answer: it’s blurry but (-6,7) (-6,3)

Step-by-step explanation:

A 95% confidence interval for the difference in proportions of red candies between plain and peanut M&M's is constructed. The interval does not include the value of zero, indicating that it is unlikely that the proportions are equal. Therefore, it can be concluded that there is a difference in the proportion of red candies in plain and peanut M&M's.

To construct the confidence interval, we first calculate the sample proportions of red candies for each variety. For the plain M&M's, the proportion is 15/58 ≈ 0.259, and for the peanut M&M's, the proportion is 9/35 ≈ 0.257. The standard error of the difference in proportions is calculated using the formula sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)], where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes.

Next, we calculate the margin of error by multiplying the standard error by the appropriate critical value from the standard normal distribution (z*). For a 95% confidence level, z* is approximately 1.96.

Finally, we construct the confidence interval by subtracting and adding the margin of error to the difference in sample proportions. The confidence interval is given by p1 - p2 ± margin of error.

If the confidence interval includes the value of zero, it suggests that the proportions of red candies in plain and peanut M&M's could be equal. However, since the value of zero is not within the confidence interval in this case, it is unlikely that the proportions are equal. Therefore, we can conclude that there is a difference in the proportion of red candies in plain and peanut M&M's.

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\((-2-i)^{2}\) can be simplified by multiplying the integer by itself.

Multiply the integer by itself.

\((a+b)^{2} =a^{2} +2ab+b^{2}\)

\((-2-i)^{2} =((-2)^{2}+(-i)^{2})\)

Simplify

\((-2)^{2} +2.(-2).(-i)+(-i)^{2}\)

\(=4+4i-1\)

Make use of the property \(i^{2} =-1\) to decrease the imaginary units.

\(4+2i+21i+1(-1)\)

Simplify and use the a+bi formula in standard form.

\(3+4i\)

A real number is the result of a complex number and its conjugate. This knowledge will be used to remove the complex number from the given expression's denominator.

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Answer:

5 metres.

Step-by-step explanation:

The volume is the length of each edge cubed,

so x^3 = 125    where x is that length.

x = ∛125

= 5.

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

The amount of discount on the jacket is Birr 144.

We can use the following formula :

Discount amount = Original price - Discounted price

We must determine the original pricing of the jacket given that it has a discounted price of Birr 576 and the discount is 20%.

Assume "x" stands in for the original price.

The information provided indicates that the discounted price is 80% (100% - 20%) of the original cost:

Discounted price = 80% of the original price

576 = 0.8x

To find the original price, we can divide both sides of the equation by 0.8:

x = 576 / 0.8

x = 720

Now that we have the original price, we can calculate the amount of discount:

Discount amount = Original price - Discounted price

Discount amount = 720 - 576

Discount amount = Birr 144

Therefore, the amount of discount on the jacket is Birr 144.

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Simplify the expression: After multiplying, we get c(g) = (X + Y) * g.

So, the total cost, including shoe rental, for bowling g games at Pin Town Lanes can be calculated using the function \(c(g) = (X + Y) * g\).

To calculate the total cost, including shoe rental, for bowling g games at Pin Town Lanes, we can use the function c(g).

Let's break it down step by step:

1. Determine the cost per game: This includes both the game fee and the shoe rental fee. Let's say the game fee is $X and the shoe rental fee is $Y.
2. Multiply the cost per game by the number of games (g): Since we want to calculate the total cost for g games, we can multiply the cost per game (X + Y) by the number of games g.

3. Simplify the expression: After multiplying, we get\(c(g) = (X + Y) * g.\)Please note that the values of X and Y may vary depending on the specific prices set by Pin Town Lanes.

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The function c(g) calculates the total cost, including shoe rental, for playing g games at Pin Town Lanes. By plugging in the value of g, you can find the specific total cost for that number of games.

The function c(g) represents the total cost, including shoe rental, for playing g games at Pin Town Lanes. To understand this concept, let's break it down.

First, we need to understand the meaning of the variable g. In this context, g represents the number of games played at Pin Town Lanes. For example, if g is 3, it means you played three games.

Next, we have the function c(g) which calculates the total cost. This function takes the number of games played (g) as an input and gives us the total cost as an output.

The total cost includes the cost of shoe rental in addition to the cost of playing the games. Therefore, the more games you play, the higher the total cost will be.

To find the total cost for a specific number of games, you would substitute the value of g into the function c(g) and calculate the result.

For example, if c(g) = 10g + 5, and you played 4 games, you would substitute g = 4 into the function:

    c(4) = 10(4) + 5 = 40 + 5 = 45.

In conclusion, the function c(g) calculates the total cost, including shoe rental, for playing g games at Pin Town Lanes. By plugging in the value of g, you can find the specific total cost for that number of games.

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Answer:

B

Step-by-step explanation:

2x times x = 2x²

2x times -6 = -12x

1 times x = x

1 times -6 = -6

= 2x² - 12x + x - 6

= 2x² - 11x -6

To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.

This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.

In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.

Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:

|a(n+1)| < 0.001

Now, we can rearrange this inequality to solve for n:

|a(n+1)| < 0.001

a(n+1) < 0.001 (since the series is alternating)

(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)

a(n+1) > -0.001

Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:

|a(2)| < 0.001

|(-1)2 * a(2)| < 0.001

|a(2)| < 0.001

So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.

The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.

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The difference is 5 kilometers. Therefore, the plane will be 5 kilometers above the ground level when it passes directly over the airport.

(a) The plane will pass directly over the airport at 5:00 PM.

The  time at which the plane passes directly over the airport can be determined by calculating the time it takes for the plane to reach the airport from its initial position. Since the distance between the two points is known and the velocity of the plane is given, the time can be calculated by dividing the distance by the velocity.

These involves calculating the distance between the initial position of the plane and the position of the airport. The distance formula in three-dimensional space is used, which is given by the square root of the sum of the squares of the differences in the x, y, and z coordinates. By substituting the values, we can calculate the distance between the two points.

Next, we divide the distance by the magnitude of the velocity vector to obtain the time it takes for the plane to travel from the initial position to the airport. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. By dividing the distance by the magnitude of the velocity, we obtain the time in hours.

Adding the time it takes to reach the airport (calculated from the initial position) to the time of noon, we can determine the time at which the plane will pass directly over the airport.

(b) The plane will be 20 kilometers above the airport when it passes.

The  height of the plane above the airport when it passes can be determined by subtracting the z-coordinate of the airport from the z-coordinate of the initial position of the plane.

These involves comparing the z-coordinate of the airport (which is 0) to the z-coordinate of the initial position of the plane (which is 5). By subtracting the z-coordinate of the airport from the z-coordinate of the initial position, we obtain the height of the plane above the airport.

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An illustrates the abuse of respondents in marketing research is :

Not providing the promised incentive for completing interviews or questionnaires.

The world organization body, the American Marketing Association (AMA), conveys the definition of marketing research is a function that connects customers, consumers, or the general public with marketers through information used to identify marketing problems and opportunities.

Meanwhile, Philip Kotler defines marketing research as the systematic design, collection, analysis, and reporting of data or findings that are relevant to a particular marketing situation faced by a company.

Simply put, marketing research is the identification, collection, analysis, and presentation of systematic and objective information to help companies make decisions related to problem solutions and find opportunities in the marketing process.

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Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

The graph of the exponential function y = 200(1 + 0.05)ˣ starts with a curve and increases non-linearly or exponentially at any given time

Mathematical functions that rise or decrease in value at a rate proportional to their existing value are known as exponential functions. An exponential growth or decay function is another name for it. An exponential function is represented by the equation y = bx, where b denotes the base and x the exponent.

In this problem, we can use the basic form of an exponential function to represent this.

y = p(1 + r)ˣ

Substituting the values into the formula above;

y = 200(1 + 0.05)ˣ

The equation above is an exponential function that represents the growth over a period of time "x"

The graph of an exponential function curves from it's starting point and increases non-linearly steadily till it reaches it's peak.

Kindly find attached graph below

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what is the probability that the sum of the numbers showing on two rolled dice is 8 is 5/36.

To find this probability, we need to first determine the total number of possible outcomes when two dice are rolled. Each die has six possible outcomes, so there are 6 x 6 = 36 possible outcomes when two dice are rolled. To determine how many of these outcomes have a sum of 8, we can create a table or list all the possible combinations:

- 2 + 6 = 8
- 3 + 5 = 8
- 4 + 4 = 8
- 5 + 3 = 8
- 6 + 2 = 8

There are 5 possible combinations that result in a sum of 8. Therefore, the probability of rolling a sum of 8 is 5/36.

In conclusion, the probability of rolling a sum of 8 when two dice are rolled is 5/36.

The probability that the sum of the numbers showing on the dice is 8 is 5/36.


To calculate the probability, we need to find the number of favorable outcomes and divide it by the total possible outcomes. When rolling two dice, there are 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Now, let's find the favorable outcomes where the sum is 8. The possible combinations are:
1. (2, 6)
2. (3, 5)
3. (4, 4)
4. (5, 3)
5. (6, 2)

There are 5 favorable outcomes. So, the probability of the sum being 8 is:

Probability = Favorable outcomes / Total possible outcomes
Probability = 5 / 36


The probability that the sum of the numbers showing on the dice is 8 is 5/36.

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495 different committees can be formed by selecting 4 members from a list of 12 people.

In this case, we have 12 people to choose from and we want to form a committee of 4 people. The number of different committees that can be formed is represented by the combination formula:

C(n, r) = n! / [r! * (n - r)!]

Where n = total number of people (12), r = number of people in the committee (4), and ! represents the factorial function.

Applying the formula:
C(12, 4) = 12! / (4! * (12 - 4)!)

C(12, 4) = 12! / (4! * 8!)

C(12, 4) = (12 * 11 * 10 * 9 * 8!)/(4 * 3 * 2 * 1 * 8!)

The 8! in the numerator and denominator cancels out:

C(12, 4) = (12 * 11 * 10 * 9)/(4 * 3 * 2 * 1)

C(12, 4) = 11880/24

C(12, 4) = 495

So, 495 different committees can be formed by selecting 4 members from a list of 12 people.

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Answer:

y=2x-3

Step-by-step explanation:

Answer:

60

Step-by-step explanation: you just multiply the radius by 2

Answer:

60

Step-by-step explanation:

r=d/2

30=d/2

60=d

d=60

Answer:

1/2, 3/8, 1/8

Step-by-step explanation:

the radio of giving blue marbles is 4/8=1/2

the radio of giving green marbles is 3/8

the radio of giving red marbles is 1/8

Answer:

the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.

Step-by-step explanation:

Work is defined as the product of force and distance, and can be calculated using the equation W = F * d, where W is work, F is force, and d is distance.

When lifting the whole log, the force required is equal to the weight of the log, and the distance over which the force is applied is the distance from the ground to the height of the shoulder.

When lifting one end of the log, the force required is still equal to the weight of the log, but the distance over which the force is applied is reduced. This is because the lever arm (the distance from the axis of rotation, which is the shoulder joint, to the point where the force is applied, which is the end of the log) is reduced.

So the equation for work done in lifting the whole log would be  W = m * g * h, where m is the mass of the log, g is the acceleration due to gravity, and h is the height from the ground to the shoulder. The equation for work done in lifting one end of the log would be W = (m/2) * g * h', where h' is the reduced height.

It can be seen that the work done in lifting one end of the log is equal to half the work done in lifting the whole log, because the force applied is the same, but the distance over which it is applied is reduced.

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

3 moles NaCl to grams = 175.32831 grams 4 moles NaCl to grams = 233.77108 grams 5 moles NaCl to grams = 292.21385 grams 6 moles NaCl to grams = 350.65662 grams

\

Step-by-step explanation:

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

Answer:

Step-by-step explanation:

Multiply 20 by 12:

Multiply 240 by 5:

Multiply the lengths:

Answer:

The missing side is 5 cm

Step-by-step explanation:

Step 1:  Determine the missing side

\(V=l*w*h\)

\(1200\ cm^3 = 20\ cm * w * 12\ cm\)

\(\frac{1200\ cm^3}{20\ cm * 12\ cm} = w\)

\(\frac{1200\ cm^3}{240\ cm^2} = w\)

\(5\ cm = w\)

Answer: The missing side is 5 cm