Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per​ hour, how fast will the distance between them be changing after three​ hours?

Answers

Answer 1

Answer:

225miles

Step-by-step explanation:

velocity is the change in displacement with respect to time

Speed Δv = Δd/t

Δd = tΔv

Δv is the change in speed

t is the time taken 3 hours

Substitute the given parameters into the formula;

Using the pythagoras theorem to get the change in velocity

v² = 60²+45²

v² = 3600+2025

v² = 5625

v = √5625

v = 75miles/hour

Substitute the gotten values inti the formula;

Δd = tΔv

Δd = 3*(75)

Δd = 225miles

The distance between them be changing by 225miles after 3 hours


Related Questions

I’ll mark Brainly! Andy deposits $25 in his checking account.
Bay City is 12 feet above sea level.
The team lost 12 yards on the play.
The temperature is 12 degrees below zero.
Anna withdrew $25 from the ATM.

Answers

1. Alright so the first one is Andy DEPOSITS money that means he adds money so that is a positive 25.

2. second one it says bay city is 12 ft ABOVE sea level that is also a positive number so that is positive 12.

3. For the third one a team LOST 12 yards so that is negative

4. The temperature is 12 degrees BELOW zero so that means it’s a negative 12

5.Anna WITHDREW $25 form a atm so that means she took out with is a negative 25

Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals). a. The area to the left of is .

Answers

This question is incomplete, the complete question is;

Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)

a. The area to the left of z is 0.8

b. The area to the left of z is 0.882

c. The area to the right of z is 0.8225

(Hint: Enter the positive z-value)

Answer:

a) z = 0.84

b) z = 1.185

c) z = -0.925

Step-by-step explanation:

a)

area to the left of z is 0.8

Making use of the standard normal table

p( Z < z ) = 0.8

we check the the probability of 0.8 in the standard normal table

so the corresponding value of z is 0.84

p( Z < 0.84 ) = 0.8

z = 0.84

b)

area to the left of z is 0.882

Making use of the standard normal table

p( Z < z ) = 0.882

we check the the probability of 0.882 in the standard normal table

so the corresponding value of z is 1.185

p( Z < 1.185 ) = 0.882

z = 1.185

c)

area to the right of z is 0.8225

Making use of the standard normal table

p( Z > z ) = 0.8225

1 - p( Z < z ) = 0.8225

p( Z < z ) = 1 - 0.8225

p( Z < z ) = 0.1775

p( Z < -0.925 ) = 0.1775

z = -0.925

..............................................

Answers

i’m so confused ? lol

Are these ratios equivalent? 12 friends : 15 strangers AND 6 friends : 14 strangers

Answers

Answer:

No

Step-by-step explanation:

12:15 can be simplified to 4:5

6:14 can be simplified to 3:7

These two are not equivalent to eachother

4-4/9x=2/3
Rewrite so there no more fractions

Answers

Answer:

x=7.5

Step-by-step explanation:

4-4/9x=2/3

-4/9x=2/3-4/1

-4/9x=-12/3-2/3

-4/9x=-10/3

TIMES 3 To each side.

-4x=-30

x=7.5

What is the domaun of the relation
{(3, 4), (4, 3), (4, 4), (5, 2)}?


o {2, 3, 4, 5}
o {3, 4, 5}
o {4}
o {2, 3, 4}​

Answers

Answer:

[3,4,5]

Step-by-step explanation:

the answer is [3,4,5,]

because domain means it is the value of x.


1. A person spends1/4 -part of his
income on food, 2/3part on house
rent and remaining * 630 on other
items. Find his house rent.
(a) * 2050
(b) 5040
(c) * 1000
(d) None of these​

Answers

Answer:

*2520

Step-by-step explanation:

A quarter of him income was spent on food

X (representing his income) - x/4= 3x/4

Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.

2/3 * 3x/4= x/2

3x/4-x/2=x/4.

The remaining after all expenses are paid is 630. So:

x/4=630

x=630*4

x=2520

1/4 + 2/3 + 1/12 = 1

That is fraction on

Food + house rent + other items = Total amount

If 1/12 = 630.............. equation 1

Then 1/4 + 2/3 = 11/12

11/12= x................. equation 2

Cross multiply equation 1 & 2

1/12*x = 1155/2

To find x, cross multiply again

2x = 13860

x = 13860/2

x = 6930

This means that 11/12 + 1/12 = 6930 + 630

= 7560

Therefore 2/3(fraction for house rent)*7560(total amount)=5040

Answer is 5040

∠DAY is a right angle if m∠DAY = ½ x + 34 then solve for the value of x algebraically please help

Answers

Answer:

112°

Step-by-step explanation:

Given∠DAY is a right angle

and

m∠DAY = 1/2x + 34 Solving for x

Right angle equals 90°, therefore

1/2x + 34° = 90°1/2x = 90° - 34°1/2x = 56°x = 56°*2x = 112°


Will had 837 stamps in his collection. He
had 187 stamps from Tobago. The rest of his
stamps were from Fiji. How many stamps did
Will have from Fiji?
otebo...
Posted today at 8:49 am
Write a comment

Answers

Answer:

650 from fiji

Step-by-step explanation:

837-187=f

837-187=650

THE GRAPH BELOW SHOWS THE RELATIONSHIP BETWEEN THE AMOUNT
OF MONEY LEO OWES ON A LOAN HE TOOK OUT TO PAY FOR A NEW
PHONE AND TIME IN MONTHS.
AMOUNY OF MONEY (IN DOLLARS)
240
220
200
180
160
НО
120
100
80
60
40
20
4 6 8 10 12 14 16 18 20 22 24 26
TIME (IN MONTHS)
What is the x-intercept?
O (25,0)
0 (0,220)
(220,0)
O (0,25)

Answers

Answer
(25,0)
1st choice

Answer:

(25, 0)

Step-by-step explanation:

because the last point on the graph is at 25 months, and by that time, he will have $0 left in loans to pay off, which would indicate an x-intercept

Factor.

64x^12+27y^3

Answers

Answer:

(4x^4  + 3y) * (16x^8  - 12x^4 y + 9y^2)

Step-by-step explanation:

rewrite 64x^12 as  (4x^4)^3

(4x^4)^3 + 27y^3

rewrite 27y^3 as (3y)^3

a^3+b^3=(a+b)(a^2 - ab + b^2)

(4x^4 + 3y) ((4x^4)^2 - (4x^4 * (3y) + (3y)^2)

[tex]\\ \rm\Rrightarrow 64x^{12}+27y^3[/tex]

[tex]\\ \rm\Rrightarrow 4^3x^3x^6x^3+3^3y^3[/tex]

[tex]\\ \rm\Rrightarrow (4xxxx)^3+(3y)^3[/tex]

[tex]\\ \rm\Rrightarrow (4x^3)^3+(3y)^3[/tex]

a^3+b^3=(a+b)(a^2+ab+b^2)

[tex]\\ \rm\Rrightarrow (4x^3+3y)(16x^6+12x^3y+9y^2)[/tex]

Find the solution to the following system using substitution or elimination: y = - 2x + 7 y = 3x - 8 O A. (1,1) O B. (2,1) O C. (3,1) O D. (3,2)​

Answers

The required solution to the given system of equations is (3,1) using the substitution method.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of given equations following as:

y = - 2x + 7 ....(i)

y = 3x - 8   ....(ii)

We have to determine the solution to the given system using substitution or elimination.

The required solution using the substitution method would be as;

Substitute the value of the equation y = 3x - 8 in equation (ii), and solve for x

3x - 8 = - 2x + 7

3x + 2x = 7 + 8

5x = 15

x = 15/5

x = 3

Substitute the value of x = 3 in equation (ii), and solve for y

y = 3(3) - 8

y = 9 - 8

y = 1

Thus, the solution to the given system of equations is (3,1).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ5

“Tom needs to order some hamburgers for his colleagues. Each hamburger costs $2.00, and the delivery fee is a flat $5.00 no matter how many hamburgers he orders. If Tom's order came to a total of $25, how many hamburgers did he order?”

Answers

Answer:

10

There is no explanation I used a calculator

10 it is quick maths any more questions

what is sum of 7+3(-4)(2)

Answers

Answer:

-17

Step-by-step explanation:

-4*2=-8

-8*3=-24

-24+7=-17

six-pack of Pepsi costs $4.18. At this rate, how much should 33 cans cost?

Answers

Answer:

Step-by-step explanation:

set up a proportion

6/4.18 = 33/x

137.94 = 6x

x = $22.99

PLS I REALLY NEED HELP: Write a function rule for the data in the following table.

Answers

Answer: 4x3=12 5x3=15 6x3=18 7x3=21 This is multiplied by 3

Step-by-step explanation:

Can someone help me please, I would appreciate it

Answers

Answer:

1.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -7/9x + 11/3

Combine like terms.

5/9x = 10/3

Multiply by 9/5

x = 6

Plug x in.

y = -7/9(6) + 11/3

y = -42/9 + 11/3

y = -42/9 + 33/9

y = -9/9

y = -1

(6, -1)

2.

-3x - 7y = 18

9x + 2y = 3

Set equal to y.

-3x - 7y = 18

-7y = 3x + 18

y = -3/7x - 18/7

9x + 2y = 3

2y = -9x + 3

y = -9/2x + 3/2

Set equal to each other.

-3/7x - 18/7 = -9/2x + 3/2

57/14x = 57/14

Multiply 14/57.

x = 1

Plug x in.

-3(1) - 7y = 18

-3 - 7y = 18

-7y = 21

y = -3

(1, -3)


Name the shaded angle in four different ways.

Answers

Answer:

Step-by-step explanation:

ABC

CBA

1

B

Answer:

1 ABC CBA B is the correct answers

Please help!!

Find the value of x.

A. 46
B. 60
C. 92
D. 96

Answers

X = 46 then answer is A

Answer:  A. 46

My reason is that you would want to times each one to see if they would equal 100 so what you would is (2 x 46+8) which equal 100.

Nate finishes his homework at 4:47 p.m. after working on it for 38 minutes. What time did Nate start his homework

Answers

Answer:

He started at 4:09

Step-by-step explanation:

Subtract

Which is f(–3) for the quadratic function graphed?

Answers

Answer:

the answer is -9

could you also please mark me as brainliest?

Answer: -9

Explanation: that is what i got and so did the other person.

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for of the successful bids and of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).

Answers

Complete question is;

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.

1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?

2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?

3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).

Answer:

1) 0.5

2)0.74

3) 0.65

Step-by-step explanation:

1) Since we are told that they had a 50-50 chance of getting the project, Thus;

Probability of a successful bid is;

P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5

2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;

P(request|successful) = 74% = 0.74

3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;

P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]

P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.

Thus;

P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65

Solve the inequality for n


14 < n - 3 ​

Answers

Answer:

n>17

Step-by-step explanation:

Step 1: Flip the equation.

n-3>14

Step 2: Add 3 to both sides.

n-3+3>14+3

The value of the n is more than 17 which is mathematically given in the form of an inequality equation as n > 17.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

14 < n - 3 ​

Add 3 on both sides then we have

17 < n

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The price of Stock A at 9 A.M. was​ $15.75. Since​ then, the price has been increasing at the rate of​ $0.05 per hour. At​ noon, the price of Stock B was​ $16.53. It begins to decrease at a rate of​ $0.13 per hour. If the stocks continue to increase and decrease at the same​ rates, in how many hours will the prices of the stocks be the​ same?

Answers

Answer: 3.5

Step-by-step explanation:

Answer:

give me a answer

Step-by-step explanation:

somebody please answer, i need help asap. how many square meters ?

Answers

15 square meters. 1.5 times 10 = 15. 15 times 2 equals 30. Divide 30 in half, 15.

A manufacturing plant produces custom hardware for specific applications in construction. One particular kind of bolt that is intended to have a length of 84mm is produced by two different machines, A and B. Tristan is an employee in the department that produces this bolt. He randomly selects samples of 100 bolts from each machine and measures the length of each one. The lengths of the bolts, in millimeters, are shown in the table below. Each machine produced a bolt that has a length of 84.05mm.Use Excel to calculate each machine's z-score for producing a bolt that has a length of 84.05mm.Round your answers to two decimal places.Machine A Machine B84.017 83.97183.999 83.9984.011 84.00284.007 84.01884.008 83.9884.016 83.99384 83.98884.026 84.00484.009 83.99184.031 83.95584.017 84.01584.022 83.96684.03 83.99584.07 83.97584.018 83.94484.05 83.9384.049 83.99984.026 83.98283.999 83.94884.002 83.95284.057 83.98483.991 84.00284.016 83.98684.006 84.0183.987 83.98384.034 84.01984.035 83.95884.006 83.99284.021 83.98784.022 83.97484.028 83.99684.004 83.98584.032 83.97884.02 83.98684.026 83.96284.041 83.9784.035 84.00483.996 84.00784.034 83.97784.042 83.96984.002 83.97384.019 83.97484.029 83.99184.016 83.97484.014 84.00284.014 83.97884.018 83.99584.014 8484.032 83.99284.042 83.99483.999 84.00284.003 83.95884.045 83.96584.024 83.98984.033 83.98384.031 83.99784.014 83.96183.983 83.97384.055 83.98384.024 83.96584.035 83.95684.052 83.98484.041 83.9584.029 83.97584.017 83.95784.006 83.97884.013 83.98484.013 83.94384.039 83.93984.008 83.99784.029 83.9984.02 83.98384.046 83.95784.004 84.00384.036 83.98984.013 83.97284.025 84.00683.979 83.98884.015 83.9784.01 84.00984.026 83.99184.016 83.9684.024 83.94584.024 83.99684.018 83.97384.006 83.96384.039 83.95984.004 84.01983.992 83.95784.007 84.00184.04 84.01383.999 8484.007 83.98484.009 83.96784.031 83.94884.003 83.98584.01 83.98884.011 83.96384.051 83.98584.002 84.001Provide your answer below: The z-score for machine A is___ and the z​ -score for machine B is ____

Answers

Answer:

The formula calculated the Z-score for all data points

Step-by-step explanation:

I have taken out time to prepare the raw file as a CSV file (comma separated variable) please see attached the excel format.

Z-SCORE= (DataPoint-AVERAGE(DataSet))/STDEV(DataSet)    

IN EXCEL,

AVERAGE, an excel function that calculates the Average of data set

STDEV.S: calculates the standard deviation while treating the data as a ‘sample’ of a population.

STDEV.P: This function calculates the standard deviation while treating the data as the entire population.

kindly find attached the excel sheet, with calculations done

Kindly let me know if you need more information,

question 14 I mark as brainliest ​

Answers

Answer: Number 4

Step-by-step explanation: None

i need help please lol​

Answers

Answer:

that's a right angle and its equals 90° but I think you add all of them 56°,31°, and x°

Answer:

x should equal 93

Step-by-step explanation:

180° - 56° - 31 degrees = 93°.

Let me if its wrong and I will correct it if is.

The graph below displays the relationship between the age of drivers and the number of car accidents per hundred drivers in the year 2009

Answers

Answer:B

Step-by-step explanation:

Older drivers tended to have fewer accidents per 100 drivers

Answer:

Step-by-step explanation:

Please leave a rating if this helped :)

What is |1 - 8i|?
Please answer this question

Answers

Answer:

the answer is complicated it is 5 actully

Step-by-step explanation:

the answer is 5

Answer:

√(65) Simplified

Step-by-step explanation:

Other Questions
A central idea of "Stopping by Woods on Snowy Evening" is that the speaker wants to admire the beauty of nature in the woods.How does this idea develop over the course of the poem? A) The speaker wonders if his neighbor is aware of the beauty in his woods and wants to tell him. B) The woods fill with snow, and the speaker realizes he must go before it gets too deep.C) The speaker stops to see the snowfall in the woods but knows his responsibilities won't allow him to stay long. D) The snowy woods make the speaker feel lonely, and he becomes frightened and decides to leave.The answer is C HELPPPP ME PLEASEEEE As much as engineers try to avoid it, end-user problems are part of the process. You might have noticed that right after the latest smartphone comes out, there is a slew of articles pointing out what is not working properly with the phone. This is just one example of an end-user problem. Go online and find an example of an end-user problem. Describe the problem and how the company that created the problem plans to fix it. Include a link to the site where you found the information in your response. PLZ HELP WUICK ILL MARK BRAINLEIST!!!15. a) Target sells cases of Mountain Dew for $3 if you buy a Target RedCard for $20. Walmart sells cases of Mountain Dew for $5. Choose theequation that can be used to determine how many cases will it take for thecost to be the same?3x + 20 = 5x8x = 20OB8x + 20 = 03x - 20 = 5D I know what the caged bird feels, alas!When the sun is bright on the upland slopes;When the wind stirs soft through the springing grass,And the river flows like a stream of glass;When the first bird sings and the first bud opes,5And the faint perfume from its chalice steals--I know what the caged bird feels!I know why the caged bird beats his wingTill its blood is red on the cruel bars;For he must fly back to his perch and cling10When he fain would be on the bough a-swing;And a pain still throbs in the old, old scarsAnd they pulse again with a keener sting--I know why he beats his wing!I know why the caged bird sings, ah me,15When his wing is bruised and his bosom sore,--When he beats his bars and he would be free;It is not a carol of joy or glee,But a prayer that he sends from his heart's deep core,But a plea, that upward to Heaven he flings3) What is the dominant tone of this poem?A) confusion B) delight C) empathy D) fear 2 differences of tools and equipment What was the Columbian Exchange? (Pros, cons and examples) 2. How have human activities and natural processes influenced the gradual or sudden change in global temperature? (You need a minimum of 5 complete sentences.) I need a limerick that goes with the sentence. There once was an athlete named sam. _________ people were used as indentured servants or slaves in the Carribean. Julio wants to know the height of a tree in his yard. He measures his shadow to be 8.4 feet long and determines the tree shadow to be 21 feet long at the same time. Julio is 6 feet tall. How tall is the height of the tree in his yard? HELP ASAP A bicycle that usually sells for $250 is on sale for 25% off. Find the sale price. Please helppppppppppopWrite an absolute value inequality that represents the situation. Then solve the inequality the difference between the areas of the figure is less than 2.The absolute value inequality is________ HELP! FAST PLZFix the one word that is used incorrectly.Brad went to get more popcorn and missed the climatic scene of the movie: a dramatic car chase in which the hero comes face-to-face with the villain How have political parties influences our government? On February 1, 2018, Cromley Motor Products issued 6% bonds, dated February 1, with a face amount of $65 million. The bonds mature on January 31, 2022 (4 years). The market yield for bonds of similar risk and maturity was 8%. Interest is paid semiannually on July 31 and January 31. Barnwell Industries acquired $65,000 of the bonds as a long-term investment. The fiscal years of both firms end December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Determine the price of the bonds issued on February 1, 2018. 2-a. Prepare amortization schedules that indicate Cromleys effective interest expense for each interest period during the term to maturity. 2-b. Prepare amortization schedules that indicate Barnwells effective interest revenue for each interest period during the term to maturity. 3. Prepare the journal entries to record the issuance of the bonds by Cromley and Barnwells investment on February 1, 2018. 4. Prepare the journal entries by both firms to record all subsequent events related to the bonds through January 31, 2020. Oven mitts reduce which type of thermal energy transfer when you take a hotpan out of an oven?A. ConductionB. TranslationC. Convection D. Radiation I need help on thisfair use can be claimed if a work is being criticized, taught, or researched true or false What is one-half of two-thirds? HELPWhich heading best exemplifies the format for an e-mail subject line?Join the festivities on Earth Day.Earth Day at the park . . .The Earth Needs You!!Remember last Earth Day?