An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _mph Direction: ° If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?__ miles

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Related Questions

A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one yewhat will he have to pay? (Round your answer to the nearest cent.)$
If 40% is equal to the fraction of x by 30 what is the value of x
Rita earns $18.00 per hr. If she gets a 6% raise, what will be her new hourly wage?
A certain analytical method for the determination of lead yields masses for lead that are low by 0.5 g. Calculate the percent relative error caused by this deviation for each measured mass of lead. Report the percent relative error with the correct number of significant figures.
What is 75 equal to?A.) 7x 5B. 5x5x5x5x5x5x5C.7x7x7x7x7D. 5 ‘7

Part A How much voltage must be used to accelerate a proton (radius 1.2 ×10−15m) so that it has sufficient energy to just penetrate a silicon nucleus? A silicon nucleus has a charge of +14e, and its radius is about 3.6 ×10−15m. Assume the potential is that for point charges.

Answers

Answer:

Step-by-step explanation:

Qp = charge on proton = 1.6 x 10-19 C

Qs = charge on silicon = 14 x 1.6 x 10-19 C

rf = final distance from nucleus = ∞

ri = initial distance from nucleus = (3.6 x 10-15 + 1.2 x 10-15 ) = 4.8 x 10-15 m

initial Potential energy is given as

Ui = k Qp Qs / ri = (9 x 109) (1.6 x 10-19 ) (14 x 1.6 x 10-19 ) / (4.8 x 10-15 ) = 6.72 x 10-13 J

final Potential energy is given as

Uf = k Qp Qs / rf = (9 x 109) (1.6 x 10-19 ) (14 x 1.6 x 10-19 ) / (∞) = 0 J

Change in Potential energy = ΔU = Ui - Uf = 6.72 x 10-13 - 0 = 6.72 x 10-13 J

Let the Voltage through which proton is accelerated = V

Energy gained due to potential difference = Qp V

Using conservation of energy

Qp V = 6.72 x 10-13

(1.6 x 10-19 ) V = 6.72 x 10-13

V = 4.2 x 106 volts

(g) If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out? The probability that it will take more than 6 minutes for all the customers currently in line to

Answers

The probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.

We are given the probability distribution of x, the number of customers in line at a supermarket express checkout counter.

Moreover, we are given that each customer takes 3 minutes to check out.

It means that if there are 0 customers in line, i.e., x=0, then it will take 0 minutes for all the customers currently in line to check out.

If there is 1 customer in line, i.e., x=1, then it will take 3 minutes for all the customers currently in line to check out.

If there are 2 customers in line, i.e., x=2, then it will take 6 minutes for all the customers currently in line to check out.

If there are 3 customers in line, i.e., x=3, then it will take 9 minutes for all the customers currently in line to check out.

If there are 4 customers in line, i.e., x=4, then it will take 12 minutes for all the customers currently in line to check out.

If there are 5 customers in line, i.e., x=5, then it will take 15 minutes for all the customers currently in line to check out.

From above we note that if there are 3 or more customers in the line, then it will take more than 6 minutes (note that the case of check out time equal to 6 minutes is not included when we want 'more than 6 minutes') for all the customers currently in line to check out.

Thus, required probability is given by:

P(more than 6 minutes for all the customers currently in line to check out) = P(x ≥ 3)

= P(x=3) + P(x=4) + P(x=5)

= 0.20 + 0.15 + 0.05

= 0.40

Therefore, the probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.

To learn more about the probability visit:

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Final answer:

Without specific information on the total number of customers or the distribution of customers in line, we cannot calculate a specific probability for it to take more than 6 minutes for all customers to check out, given that each customer takes 3 minutes.

Explanation:

The question is about the probability that it will take more than 6 minutes for all the customers in line to check out, given that each customer takes 3 minutes. The time it takes for all the customers to check out is determined by the number of customers in line. If there are two or more customers in line, it will definitely take more than 6 minutes for all of them to check out, because the checkout time is 3 minutes per customer.

So, the question of probability relates to the likelihood of there being two or more customers in line. Without information on the total number of customers, or the distribution of customers in line, we cannot calculate a specific probability.

Please note, this is a practical application of topics in probability and queue theory, involving concepts like mean arrival rate and service rate.

Learn more about Probability here:

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Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answers

Answer:

multiply 1 1/3 by 8x6 and see how many packages

WILL GIVE BRAINLIEST Patrick decided to start his own business. his business made 35,000 the first year his profits have increased annually by an average of 2.5%a. write and iterative (explicit) rule to model the sequence formed by patricks profits each year. Show your work

b. use the rule you wrote to determine what the profits will be after twelve years from the start of his business. round your answer to the nearest dollar. do not round until the end! show all fo your work

Answers

(a)

his profits increase annually by 2.5%, thus the profits each year form a geometric sequence with r = 1.025

that is 100 + 2.5 = 102.5% = 1.025

$a_(n)$ = 35000 × $(1.025)^(n-1)$ ← explicit rule

(b)

$a_(12)$ = 35000 × $(1.025)^(11)$ = 45923....

Profits after 12 years ≈ $46000

Ariana’s annual(year) pay is $34,320. What is her average gross pay?9.Per Month?
10.Per week?
11.Per day?

Answers

Answer:

9. $2,860 per month

10. $660 per week

11. $94 per day (not 100% sure on this one, not sure if its getting techinical with working 5 days a week)

Step-by-step explanation:

9. $34,320 divide by number of months in a year (12)

10. $34,320 divide by number of weeks in a year (52)

11. $34,320 divide by number of days in a year (365)

Find an equation of the line having the given slope and containing the given point.Slope is -2
Line through (5, -6)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

Pre-Solving

We are given that a line has a slope (m) of -2 and passes through (5, -6).

We want to write the equation of the line.

There are three ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.
Standard form, which is ax+by=c, where a, b, and c are free integer coefficients.
Point-slope form, which is $y-y_1=m(x-x_1)$ , where m is the slope and $(x_1,y_1)$ is a point.