A plane is flying at an elevation of 25000feet. It is within the sight of the airport and the pilot finds that the angle of depression to the airport is 14 degrees. Find the diagonal distance between the plane and the base of the airport.

The angle of half past eight between the hour and minute hands of a clock is 255°.

Given that,

We have to find look for the smaller angles half past eight between the hour and minute hands of a clock.

We know that,

The clock is in circle.

A clock has 12 different parts. Between any two divisions, there is a 30° angle. Each division is then divided into 5 equal pieces, each of which is divided by an angle of 60° and equals 1 minute.

We know the total angle of the circle is 360°.

So, 12 hours is 360°.

Then 1 hours is

1 hour= 360/12=30°

So, 1 hour is 30°

60mins=1 hour

60 mins = 30°

1 min =30/60

1 min=1/2

So,

8 hour and 30 min

(8× 1 hour)+( 30×1 min)

(8×30)+(30×1/2)

240+15

255°

Therefore, The angle of half past eight between the hour and minute hands of a clock is 255°.

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Answer:

B.

Step-by-step explanation:

f(x) = 2^0 + 4 = 0 + 4 = 4

f(x) = 2^3 + 4 = 8 + 4 = 12

f(x) = 2^7 + 4 = 128 + 4 = 132

Isabel's monthly loan payment will be about $270

The interest rate is 4.3%.

Isabel’s monthly loan payment will be about $270 ,  Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000.

The formula for calculating a monthly payment for an amortized loan is given below:

                   P = (r × A) / (1 - (1 + r)⁻ⁿ)

Where,

Here, A = $16,950.

Isabel made a down payment of $5,000.

Therefore, her financed amount = $16,950 - $5,000

                                                     = $11,950.

The interest rate is 4.3%.

So, the monthly interest rate would be 4.3%/12 = 0.003583333.

Using these values in the formula, we get:

P = (0.003583333 * 11,950) / (1 - (1 + 0.003583333)⁻⁴⁸)P

 ≈ $270.

Hence, Isabel's monthly loan payment will be about $270 (rounded to the nearest dollar).

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y=9

Hope this helps :)

Comment if you need more help :) :)

Answer:

The answer is 9 if we have to find y

Step-by-step explanation:

First you subtract 6 from -12

Next Divide

Last Get answer

Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

The total cost that company ABC uses to produce x graphing calculators in a month is given by y = 1.5x + 150

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard form of a linear function is:

y = mx + b

Where m is the rate of change and b is the initial value of y.

Let y represent the total cost of producing x calculators in a month, hence:

y = 1.5x + 150

The total cost that company ABC uses to produce x graphing calculators in a month is given by y = 1.5x + 150

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Two statements that would prove the similarity of the triangles are given as follows:

Two triangles are defined as similar triangles when they share these two features listed as follows:

The equivalent side lengths for this problem are given as follows:

The equivalent angles for this problem are given as follows:

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The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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(a) The probability that there are no clients in the system is 0.3333

(b) The average number of customers waiting is 1.33

(c) The average number of customers in the system is 2

(d) The average time a customer spends waiting is 3.33 min

(e) The average time a customer spends in the system is 5 min

(f) The probability that arriving customers will have to wait for service is 0.6667.

Given that,

Customers of Willow Brook National Bank can conduct financial transactions at a drive-up teller window without getting out of their cars. On weekday mornings, the drive-up teller window receives 24 customers each hour, or 0.4 customers per minute, arriving at random.

Arrival rate λ = 24 customers per hour or 0.4 customers per minute

Service rate  μ​ = 36 customers per hour or 0.6 customers per minute

Utilizing the single-server drive-up bank teller operation previously mentioned, establish the following system operational characteristics:

(a) The probability that there are no clients in the system is

P₀ = 1 - λ /μ

= 1 - (24/36)

= 1/3

= 0.3333

(b) The average number of customers waiting

Lq = λ²/ [μ(μ - λ)]

= 242/[36×(36-24)]

= 1.33

(c) the average clientele using the system.

L = Lq + λ/μ  

= 1.33 + (24/36)

= 2

(d)the average length of time a consumer must wait.

Wq = λ/ [μ(μ - λ)]

= 24/[36×(36-24)]

= 0.0555 hr

= 3.33 min

(e) The average time a customer spends in the system

W = Wq + 1/μΧ

= 0.0555 + (1/36)

= 0.0833 hr

= 5 min

(f) the probability that clients who arrive will have to wait for service.

= 1 - P₀

= 1 - 0.3333

= 0.6667

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Answer:

4 Hours

Step-by-step explanation:

Since the equation is:

y = 9x + 16

You have to find x

This is the logical way:

52-16 = 36 because thats the starting fee

So 36 divided by 9 equals 4

You do that because 9 is the charge per hr

So he rented it for 4 hours.

Hope this helps:)

The p-value for study B is 0.98.

With the same set of data, two studies were conducted.

Study A was a two-sided test while study B was a one-sided test.

The p-value of the test in study A is 0.040.

If the test statistic from your sample has a negative value, the p-value for a two-sided test is equal to twice the p-value for the lower-tailed p-value. If the test statistic from your sample has a positive value, the p-value is two times that of the upper-tailed p-value.

So, in conclusion:

The one-tail p-value equals one minus half the two-tailed value.

The two-tail p-value is twice the one-tail p-value.

As study A is a two-sided test with p-value = 0.04.

The p-value of study B will be:

p = 1 - ( 1/2 ) × 0.04

p = 1 - 0.02

p = 0.98

The p-value for study B is 0.8.

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Answer:

12.

Step-by-step explanation:

y /x = 6/8 = 3/4

y/x = 18/24 = 3/4

The relation is y = 3/4 x.

So, the missing value is 16 * 3/4

= 12.

Answer:

I think it will be $16.50

Step-by-step explanation:

sorry if I'm wrong

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

Yes it does show a dilation

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Using Percentage formula , The change in the price of a jar of peanut butter is 15.02%.

Percentage : It is defined as a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

First of we need to calculate difference between initial price and final price to

get the change in price.

Initial Price of jar of peanut butter = $ 5.99

Final price of jar of peanut butter = $ 6.89

Change in price of a jar of peanut butter = final price of jar of peanuts butter - initial price of jar of peanuts butter

= $ 6.89 - $ 5.99 = $ 0.9.

Percent change in price = ((Change in Price)/(initial price))× 100

percent change = (0.9/5.99)× 100 = 15.02

Hence, 15.02% is the change in price of a jar of peanuts butter.

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Answer:36

Step-by-step explanation:

The required first and smallest term of consecutive terms is 38.

Given that,

The average of five consecutive numbers is 38. The smallest number to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

The average of five consecutive numbers is 38.
Let the middle value is a,
Series of 5 number can be given as = (a -2n) , (a-n) , a , (a+n) , (a+2n).
n = 5
Average = ( a-2n +a -n + a +a+n+ a+2n)/5
38 = 5a/5
a = 38
Now smallest and first term (n = 1)   = a - 2n
                                                     = 38 - 2(1)
                                                     = 36

Thus, the required first and smallest term of consecutive terms is 38.

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To find dy/dt, we can differentiate the given equation y^3 = 2x^4 + 81 with respect to t using implicit differentiation.

Differentiating both sides of the equation with respect to t, we get:

3y^2 * dy/dt = 8x^3 * dx/dt

Substituting the given values dx/dt = 4, x = 5, and y = 11 into the equation, we can solve for dy/dt:

3(11)^2 * dy/dt = 8(5)^3 * 4

363 * dy/dt = 8 * 125 * 4

363 * dy/dt = 4000

Dividing both sides by 363, we find:

dy/dt = 4000 / 363

Simplifying this expression, we get:

dy/dt = 400/33

Therefore, the value of dy/dt is 400/33.

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If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

Well, the answer is based on how many beans there are in total

Step-by-step explanation:

If there are, for instance, 36 beans and four boxes, each box will have nine beans. You'll have to divide the total number of beans and the number of boxes. You'll find the solution with this method. Otherwise, if there are no details on how many beans and boxes there are, the answer is unclear.

Answer:

whhehrbehruejfhjwjrjehrurh3hdhehehehd4bdhehwh

Now we have to,

Write a word problem for the equation,

→ 2/6 × 3/4

Let's write a word problem,

Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?

Answer:

She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.

The work shown is a mistake, the answer of y=5 isn't.

SOLUTION:

Case: Parallelograms

Method:

Sketch the parallelogram

The angles mHence the angle J is 45 degrees

The angles mHowever,

Final answers:

1. J= 45 degrees {Opposite angles are equal in a parallelogram}

2. K= 135 degrees {Adjacent angles sum up to 180 degrees in a parallelogram}

Answer:

Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.

Step-by-step explanation:

Explanation,

(For Proper Question And Diagram Please Find In attachment)

Solution,