A control tower observes the flight of an aircraft. At 09:23 the aircraft is 580 km away on a bearing of 043º. At 09:25 the aircraft is 360 km away on a bearing of 016º. What is the speed and the course of the aircraft? (Use a scale of 1 cm to 50 km.)​

Answer:

Vertex: (-4, 1)

X intercepts: (-6, 0) and (-2, 0)

Y Intercepts: (0, -5)

Axis of Symmetry: X= -4

Step-by-step explanation:

Vertex of the parabola is the maximum or minimum point on the graph of the quadratic function

X intercepts are points of when a line or in this case a parabola intercepts the x axis, and where y = 0

Y intercepts are point of when a line or in this case a parabola intercepts the y axis, and where y = 0

Axis of symmetry is the point where if you divide the parabola in half, shows a symmetrical side

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

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Answer:

Step-by-step explanation:

F(x) = 4x+5

F(-2) = -3

F(-1) = 1

F(0) = 5

F(1) = 9

F(2) =13

The median rainfall for the two-weeks period was 0.25.

To determine the median amount of rainfall simply means to determine the rainfall amount that falls within the middle range. To do this, we arrange the daily rainfall from smallest to highest and this gives us:

0, 0, 0, 0, 0, 0, 0.25, 0.25, 0,5, 0.75, 1, 1, 1.5, 1.5

In total, there are 14 measurements. The two middle numbers are 0.25 and 0.25. Now, we sum these two numbers and divide by 2.

0.5/2 = 0.25

So, the median amount of rainfall is 0.25.

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Answer:

The 2nd option is correct, a 90 degree counterclockwise rotation about the origin and then a reflection across the y-axis

Step-by-step explanation:

Answer:

there are 10.6 water bottles of 12 oz in a US gallon.

Step-by-step explanation:

\( \frac{2x - 8}{3 \times 2 - 5x + 5} \)

\( = \frac{2x - 8}{6 - 5x + 5} \)

\( = \frac{ -8 }{6 -3x + 5} \)

\( = bro \: \: i \: \: don.t \: \: kmow\)

Answer:

\( - \frac{2(x + 4)}{ - 5x + 11} \)

Step-by-step explanation:

\(1. \: \frac{ - 2(x + 4)}{3 \times 2 - 5x + 5} \\ 2. \: \frac{ - 2(x + 4)}{6 - 5x + 5} \\ 3. \: \frac{ - 2(x + 4)}{ - 5x + 11} \\ 4. \: - \frac{2(x + 4)}{ - 5x + 11} \)

There is your answer

The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Given:

Kit

Plane = 27 feet

wingspan = 18 feet

Model:

Plane = 13.5 inches

Wingspan = x feet

convert 13.5 inches to feet

1 feet = 12 inches

13.5 inches = 1.125 feet

So,

equate Ratio of plane to wingspan

27 : 18 = 1.125 : x

27/18 = 1.125 / x

cross product

27 × x = 18 × 1.125

27x = 20.25

x = 20.25/27

x = 0.75 feet

Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

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Answer:

3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)

Answer:

27/64

Step-by-step explanation:

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

Lines 2, 3, 4, and 5

Step-by-step explanation:

I tried my best to calculate the slope of each line. I am not 100% sure about this answer, so don't count on it completely. I hope it helps, but if it is wrong, I apologize.

Answer:

It is 2 and 3

Step-by-step explanation:

Simplifying

8 * 4k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 8 * 4

32k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 9 * 5

32k + 45 = (36 + -4) * k + -1(2 * 5)

Reorder the terms:

45 + 32k = (36 + -4) * k + -1(2 * 5)

Combine like terms: 36 + -4 = 32

45 + 32k = (32) * k + -1(2 * 5)

Multiply 2 * 5

45 + 32k = 32k + -1(10)

Multiply -1 * 10

45 + 32k = 32k + -10

Reorder the terms:

45 + 32k = -10 + 32k

Add '-32k' to each side of the equation.

45 + 32k + -32k = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 + 0 = -10 + 32k + -32k

45 = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 = -10 + 0

45 = -10

Solving

45 = -10

Answer:

read this message below backwards since brainly doesn't let me answer

Step-by-step explanation: el( the engine that also is the name of the biggest number in the world which is googol)no pu ti hcraes tsuj

80

9 to 1 is equivalent to 72 to 8 and 72+8=80

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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The correct statement from the option to prove the theorem is Δ ABC ≅ Δ DCB by the SAS rule.

A unique variety of quadrilateral is called a parallelogram which has both pairs of opposite sides parallel and equal.

Given is a rectangle, ABCD, we need to prove that the diagonals are congruent.

Considering the given triangles Δ ABC and Δ DCB ;

AB = DC [by properties of a rectangle]

BC = BC [by reflexive property]

∠ B = ∠ C [by right angles]

Therefore, Δ ABC ≅ Δ DCB by SAS theorem

AC = BD by CPCTC

Which, are the diagonals.

Hence, the correct statement to prove the theorem is Δ ABC ≅ Δ DCB by the SAS rule.

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Answer:

21

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

11x 5 is 55. 55 plus 8 is 63

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

52 applicants apply, 30 employees will be hired and at least 30 of them will pass the background test.

To determine how many applicants need to apply to meet the hiring target, we need to work backwards from the desired number of hires.

Let X be the total number of applicants needed to hire 30 new employees.

Out of all applicants, 10% do not meet the base business requirements. Therefore, the number of applicants who do meet the base business requirements is:

\($0.9X$\)

Out of these applicants who meet the base business requirements, 12% do not pass the pre-screening assessment. Therefore, the number of applicants who pass the pre-screening assessment is:

\($0.88(0.9X) = 0.792X$\)

Out of these applicants who pass the pre-screening assessment, 23% do not show up for the interview. Therefore, the number of applicants who show up for the interview is:

\($0.77(0.792X) = 0.6108X$\)

Out of these applicants who show up for the interview, 5% fail the background test. Therefore, the number of applicants who pass the background test is:

\($0.95(0.6108X) = 0.58026X$\)

Since we need to hire 30 new employees, we can set this equal to 30 and solve for X:

\($0.58026X = 30$\)

\($X \approx 51.74$\)

Therefore, Company B needs approximately 52 applicants to apply to meet their hiring target.

To meet the hiring target, Company B will need to ensure that at least 30 employees pass the background test. From the above calculations, we know that 0.58026X applicants pass the background test. Therefore, we can solve for X:

\($0.58026X = 30$\)

\($X \approx 51.74$\)

This means that if 52 applicants apply, 30 employees will be hired and at least 30 of them will pass the background test.

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Answer:

10 units

Step-by-step explanation:

hope this helps

Answer:

10 units

Step-by-step explanation:

because its -3 so to become postive you add 3 then add 7 = 10

hope this helped <3

72 degrees

When the transversal cuts through, the angles are now the same (I forgot the term).

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

The possible number represented by the 9 counter is 27

The counters are given as:

12 counters and 15 counters

When added, we get a number that can be represented by 9 counters.

This means that:

12 + 15 = 9x

Evaluate the sum

27 = 9x

Divide by 9

x = 3

When subtracted, you need more than 9 counters.

This means that:

x = 15 - 12 = 3

So, we conclude that the number is a multiple of 3 and 9

In other words, the decimal number is a multiple of 9 (i.e. 27)

Hence, the possible number is 27

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Answer:

0.108

Step-by-step explanation:

Given that:

Number of flights reached early = 65

Number of flights reached on time = 273

Number of flights reached late = 218

Number of flights canceled = 44

To find:

The probability that a flight is early.

Solution:

First of all, let us have a look at the formula for probability of an event E.

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here, Event E is that the flight is early.

Number of favorable cases is equal to the number of a flights which reached early i.e. 65

Total number of cases is the total number of flights.

i.e. 65 + 273 + 218 + 44 = 600

So, the required probability is:

\(P(E) = \dfrac{65}{600} = \bold{0.108}\)

Answer:

3rd one

Step-by-step explanation:

The options given are correct formulas and should use the distributive law √5(√7-√2) for simplicity.

(√5+√2)(-√7)

distribution characteristics

Given integers A, B, and C. According to the distributive law,

A(B + C) = AB + AC

From the formula we can see that A is distributed over B and C.

Therefore, the sum of the coefficients and terms must be in the parentheses of the distribution properties. Based on the options given, the correct formulas that should use the distribution characteristics for simplicity are √5(√7-√2) and

(√5+√2)(-√7)

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