A body moving in the positive x direction passes the origin at time t = 0. between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. at t = 1 second, the body is given a constant acceleration of 6 meters per second squared in the negative x direction. the position x of the body at t = 11 seconds is
Integrate over [0, 1] to get the position of the body after 1 second. It starts at the origin, so we take x(0 s) = 0 m and using the fundamental theorem of calculus,
[tex]\displaystyle x(1\,\mathrm s) = x(0\,\mathrm s) + \int_{0\,\rm s}^{1\,\rm s} \left(24\frac{\rm m}{\rm s}\right) \, dt = 24 \, \mathrm m[/tex]
Then for time t ≥ 1 second, we integrate over [1, 11] to get the position after the next 10 seconds of motion. Since x(1 s) = 24 m, we have
[tex]\displaystyle x(11\,\mathrm s) = x(1\,\mathrm s) + \int_{1\,\rm s}^{11\,\rm s} \left(24\frac{\rm m}{\rm s} - \left(6\frac{\rm m}{\mathrm s^2}\right) t\right) \, dt = \boxed{-36\,\mathrm m}[/tex]
Without using calculus, in the 1st second of motion the body travels at constant speed, so it reaches a new position of
x = (24 m/s) (1 s) = 24 m
In the next 10 seconds, the body has constant acceleration and its velocity at time t is
v = 24 m/s - (6 m/s²) (t - 1 s)
so its "initial" velocity is 24 m/s, and after 10 seconds it attains a "final" velocity of
24 m/s - (6 m/s²) (11 s - 1 s) = -36 m/s
Then the body travels a distance x such that
(-36 m/s)² - (24 m/s)² = 2 (-6 m/s²) x ⇒ x = - 60 m
and so the body's net change in position is 24 m - 60 m = -36 m.
What is the probability that a randomly selected integer chosen from the first 100 positive integers is odd?
Answer:
I think its 50% I may be wrong tho
Font size of the bullet points on presentation materials should be large enough
The font size on presentation materials should be large enough For the audience in the last row of the presentation room to view the presentation clearly.
Does the text appearance matters in a presentation?The font that a person uses in any presentation will help one to enhances the perceived tone that one gives in any kind of presentation and as such it is important.
Note that when the Font size of the bullet points is large enough, the audience in the last row of the presentation room can be able to view the presentation clearly and follow up with your presentation.
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Font size of the bullet points on presentation materials should be large enough:
A) For the audience in the last row of the presentation room to view the presentation clearly
O B) For your team members to be able to view the presentation clearly
C) For you to be able to read from the screen during the presentation
D) For the audience in the first few rows of the presentation to view the presentation clearly
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John estimates the value of his car over time. the equation for the line of best fit is approximated as y = –2.9x + 17.7, where y represents the value, in thousands of dollars. what values complete the residual table? a = b = c = d =
The values that complete the residual table a, b, c, d are as follows:
a = 14.8, b = 0.1, c = 9, d = -1.1What is the equation of a straight-line graph?A straight-line graph takes the form y = mx + c, in which (m) refers to the gradient, (y) is the intercept, and (c) is the starting value when (x) is zero.
So, from the given information:
y = -2.9x + 17.7 --- (1)So, to estimate the value of (a) in the table, we have to replace (y = a) and (x = 1) in equation (1).
i.e.
a = -2.9(1) + 17.7a = 14.8To estimate the value of (b), we need to subtract the given value(12) from the predicted value (11.9)
b = 12 - 11.9b = 0.1To estimate the value of (c), we need to replace (y = c) and (x = 3) in equation (1).
c = -2.9(3) + 17.7c = -8.7 + 17.7 = 9To estimate the value of (d), we need to subtract the given value and predicted value.
d = 5 - 6.1d = -1.1Learn more about straight-line graphs here:
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Answer:
a=14.8
b=0.1
c=9
d= -1.1
Explanation:
:D
Gabrielle lives 24 miles from where she works, Leaving work, she drives at a speed of 45 miles per hour for 11 minutes. If Gabrielle
continues driving at this speed, how many more minutes will it take her to get home?
Answer:
As he is driving at spped of 45 mile per hours
This means that if he drivess for an hour he will cover 45 miles but here he only travel for 11 minute
Changing mph into mpm we get 0.75 mile per minute
Multiply 0.75 by 11
We get 8.25 mean he has moved 8.25 mile
As the total distance is 24
So subtract it 24- 8.25= 15.75
He will have to walk 15. 75miles more mean he will have to travel 21 min. More
Explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEWhy is it important to present sandwiches attractively
Answer:
If the food looks appetizing, person is more likely to want to try it and enjoy it when you do.Appropriate serviceware and glassware will also contribute to customer enjoyment of the product.In the same way, an aesthetically presented meal is both an instant mood enhancer and a diet controller.Regardless of the style of sandwich, freshness, flavor, cleanliness and neatness are important.
So that it is important to present sandwiches attractively.
Explanation:
#hope it helped ya!!
On october 10 the stockholders equity of sherman systems
Answer:
On October 10, the stockholders’ equity of Sherman Systems appears as follows: Common stock–$10 par value, 72,000 shares authorized, issued, and outstanding $ 720,000 Paid-in capital in excess of par value, common stock 216,000 Retained earnings 864,000 Total stockholders’ equity $ 1,800,000 1.
20.3 applying the zero product property to solve equations
Explanation:
The zero product property allows us to factor equations and solve them. For instance, x² - 6x + 5 = 0 or (x - 1) (x - 5) = 0. With the zero product property, (x - 1) = 0 or (x - 5) = 0. As a result, the answers are x = 1 and x = 5.
Capital one invites employees to work on special projects during hackathons. employees can explore new technologies, rapidly push development forward, or just expand their network to include more colleagues interested in innovation. there’s always the possibility that more employees want to participate in the hackathon than there are roles available. if you were a hackathon team manager, how could you best address the conflict created by having more volunteers than open roles?
The ways to resolve conflict is by the team manage is by:
Control conflict by expanding the resource base.Eliminate conflict by assigning volunteers to another project team.What is Conflict resolution?Conflict resolution is known to be a type of devise methods that is often used in boasting a peaceful ending of any kind of conflict and it can be through the use of different methods.
Note that one can control conflict by widening the resource base and also remove any form of conflict by making volunteers to work for another project team in the scenario above.
See options below
Control conflict by expanding the resource base.
Eliminate conflict by assigning volunteers to another project team.
Eliminate conflict by avoiding the volunteers.
Stimulate conflict by making volunteers compete for the available roles.
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Wang co. Manufactures and sells a single product that sells for $450 per unit; variable costs are $270. Annual fixed costs are $800,000. Current sales volume is $4,200,000. Compute the break-even point in units
The break even point in units of the given financial ledger and values is gotten as; 44444 units
What is the break even point?We are given;
Selling price = $450
Variable cost = $270
Fixed costs = $8000000
Sales volume = $4200000
Break even point is defined as the point at which the total costs and sales are equal or where revenue and expenses are equal. The formula to calculate the break-even point is;
Break even point = Fixed Costs/(selling price - variable costs)
Break even point = 800000/(450 - 270)
Break even point (in units) ≈ 44444 units
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1. what is the financial advantage (disadvantage) per quarter of discontinuing the racing bikes? 2. should the production and sale of racing bikes be discontinued? 3. prepare a properly formatted segmented income statement that would be more useful to management in assessing the long-run profitability of the various product lines.
To find the financial advantage for a given item, you would have to know:
Lost contribution marginFixed costs that can be avoided, etcWhat is Financial Advantage?This refers to the benefit that is gotten for a thing that has economic value and can be leveraged.
Hence, we can see that a segmented income has to do with the provision of extra details such as the revenue and expenses breakdown to identify underperforming segments.
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What does the map tell you about a difference between strategies of the magyars and the vikings? the magyars preferred to invade without settling. the vikings preferred to invade by land. the vikings preferred to settle along the coast. the magyars preferred to invade by land.
Since the Vikings were pagan, monasteries were popular targets of these raids because of the treasure that could be found inside their walls. Thus, option B is correct.
What the vikings preferred to invade by landSurprise was a strategy the Vikings used. Before villages or monasteries could prepare to defend themselves, they would strike abruptly.
The purpose of the Viking longboat was to make a smooth beach landing. As a result, the attackers are now free to go forward straight toward their victim.
The Vikings were infamous for setting ambushes and hiding out in wooded areas to wait for advancing troops along established roadways.
Vikings would form a wedge with their best men at the front if they were facing respectable armies in raids.
Therefore, The monastery of Lindisfarne, which is located on a small island off the east coast of England, was attacked by the Vikings early on.
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According to the table, which function grows the fastest?
Answer:
C
I JUST DID IT.
Use the ideal gas law equation to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp.
The value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.
What is ideal gas law?The ideal gas law can be given as,
[tex]pV=nRT[/tex]
Here, (p) is pressure, (V) is volume, (n) amount of substance, (R) is ideal gas constant and (T) is the temperature.
For the given problem the modified ideal gas law, (written below) can be used.
[tex]PM=dRT[/tex]
Here, (M) is molar mass and (d) is density.
The molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp. As the density is ratio of molar mass to volume. Thus,
[tex]d=\dfrac{40}{11.2}\\d=3.57\rm\; g/L[/tex]
The standard value of temperature and pressure is,
[tex]T=273\text{ K}\\p=1\rm\; bar[/tex]
The value of ideal gas constant (R) is 0.0821 atmL per mol K. Put these values in the above formula,
[tex]1\times M=3.57\times0.0821\times273\\M=80\rm\; g/mol[/tex]
Thus, the value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.
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To use the wireless network in the airport you must pay
Answer:
daily fee
Explanation:
it means "If you want to use the wireless network in the airport then you must pay daily fee unless you are a subscriber to the service."
Customers with high credit scores are likely to be approved for credit because:
Answer: they are considered more likely to pay back borrowed money in a timely matter.
Explanation:
Which of these is the best example of an i message
Answer:
yeah yeah yeah come as a little boom boom 1 2 3 4 it's like being in a tenant that number one is the one I would go for you
Explanation:
v got my mind and my body and my body your mama got the taste of the charges later goodbye
Answer:
I feel frustrated when you tease me about smoking
This form will be sent to lily by the end of january. she will use this w-2 form to...
Answer:
obtain employment
Explanation:
did it
W-2s may be delivered by mail in hard copy or made electronically accessible online, either by the employer or through their payroll provider.
What is the use of w-2 form?If you are qualified, your employer is required to give you a copy of your W-2 each year. Companies must submit this form by the end of January or the beginning of February after the tax year just finished.
If your W-2 is online, you may access it as often as necessary. It's common to ask for automated password recovery if you've forgotten your login information for an online site.
You should speak with your payroll or HR supervisor if you still require assistance with accessing your information online or if you require a fresh paper copy.
Therefore, This form will be sent to lily by the end of January. She will use this w-2 form to obtain employment.
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Suppose you light a bunsen burner and notice that the flame is very yellow and too short. to get a blue flame, you should choose... the choose... further. to increase the size of the flame, you should choose... the choose... further.
To get a blue flame you should open the air inlet; on the other hand, to get a bigger flame, you should open the gas regulator.
What is a bunsen burner?This is a simple equipment used in the lab that works with gas and produces a single flame.
How to get a blue flame?A yellow flame is produced when incomplete combustion occurs. To avoid this open the air inlet, which should increase the air flow and therefore combustion.
How to get a bigger flame?Considering flame is produced due to gas, the best option is to open the gas regulator further.
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Megumi organizes the clean-up of an area contaminated by pollution. her job title is best described as . ernesto examines hazards for employees working in a warehouse. his job title is best described as . laura uses her knowledge of technology to organize safety programs for a vehicle repair facility. her job title is best described as .
The respective job descriptions are; Redevelopment Specialist, Safety Officer and Safety Technologist.
What is the Job Title of the Individual?
1) Since she organizes the clean-up of an area contaminated by pollution, her job title is best described as Redevelopment Specialist.
2) Since Ernesto examines hazards for employees working in a warehouse, we can say that his job title is Safety Officer.
3) Since laura uses her knowledge of technology to organize safety programs for a vehicle repair facility, then we can say her job title is best described as safety technologist.
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Answer:
Megumi = Brownfield Redevelopment Specialist
Ernesto = Occupational Health and Safety Specialist
Laura = Industrial Health and Safety Engineer
Explanation:
Drag the types of electromagnetic waves to place them in order of increasing wavelength.
Answer:
From longest wavelength to shortest: radio waves, microwaves, infrared, optical, ultraviolet, X-rays, and gamma-rays.
Explanation:
Which sentence uses correct punctuation? question 10 options: tessa ate a sandwich yet she still felt hungry. tessa ate a sandwich yet, she still felt hungry. tessa ate a sandwich, yet she still felt hungry. tessa ate, a sandwich yet she still felt hungry.
The muscular system is the system that helps make movement possible, but it also functions on an internal level by helping food move in which two parts of the digestive system?
The professor samples her class by selecting 5 females and 7 males. this type of sampling is called?
Answer:
Random selection
Explanation:
Patton has been suffering from obsessive-compulsive disorder for several years, and none of his medications have helped. patton is ready to try anything and asks his doctor for another solution. which treatment is his doctor likely to recommend?
The treatment that that the doctor is most likley to recommend is; Deep brain stimulation (DBS).
How to treat obsessive-compulsive disorder?
Obsessive–compulsive disorder (OCD) is defined as a mental disorder where people feel the need to check things repeatedly, perform certain routines repeatedly or have certain thoughts repeatedly.
Now, when someone has been suffering with ICD for several years without solution, the most likely solution would be Deep brain stimulation (DBS).
DBS is approved by the FDA to treat OCD in adults older than 18 years who don't respond to norma;l medications. This process of DBS involves implanting electrodes within certain areas of your brain.
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Which major processes were needed for the origin of life on earth? abundance of oxygen and the ozone layer active volcanoes and very cold temperatures low levels of ultraviolet radiation and specific mixture of gases organic molecules produced from spontaneous synthesis or from meteorites
Answer:
The major processes needed for the origin of life on Earth were the appearance of the first organic compounds, their assembly into macromolecules, self-replicating properties and separation by means of membranes.
Explanation:
Find the 25th term of the sequence if a1 = 5 and d = 0.5
Answer: 17
Explanation:
a1+(n-1)da25= 5+(25-1)0.5a25= 5+(24)0.5a25= 5+12a25= 17
A ladder leaning against a house makes an angle of 60 degrees with the ground. the foot of the ladder is 7 feet from the foundation of the house. how long is the ladder?
A right triangle with the ladder the hypotenuse and the adjacent side 7 and the angle 60 degrees. Use cosine
cos 60=7/hyp
0.5=7/hyp
hypotenuse is 14 feet, the length of the ladder
To say that an object is electrically polarized is to say that
Answer:
To say that an object is electrically polarized is to say that object have polarity and the charges on both the poles are not equal in either magnitude or direction.
Explanation:
When an object is subjected to any external electric field, the electric field distorts the negatively charged electrons into opposite direction of the field and polarization occurs.
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Which among the following is an example of independent events?
An example of an independent event can be deduced to be:
Rolling a number and flipping a coin.What are independent events?Independent events are events whose occurrence of certain events is not affected by the other. As we all know that an event is the set of all possible outcomes.
Let's assume that we have event A and event B. The set of these two events is said to be an independent event if the occurrence of event A is not affected by event B.
An example of an independent event can be deduced to be:
Rolling a number and flipping a coin.Learn more about independent events here:
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