A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
Answers
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
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Step-by-step explanation:
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Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4
−
5
x
3
−
10
x
2
+
2
x
, and why?
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Answer:
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Step-by-step explanation.
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Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
a. Being more informed leads to being better prepared to make financial decisions
b. Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
c. Banks could have charges that you do not know about until reading carefully.
d. You will become more aware of how well the banks meet your particular needs.
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Answer:the answer is b
Step-by-step explanation:
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A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
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Answer:
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Step-by-step explanation:
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[tex]\frac{54}{75} = 72[/tex]
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Answer:
c = 13
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m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
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Answer this please!!!
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2.May marks two key anniversaries in the conflict between the United States and Mexico that set in motion the Civil War—and led to California, Texas, and eight other states joining the Union.
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Answer:
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read what on the image and it is so easy
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Answers
The value of y in the coordinates of point W is 3
The points are given as:
[tex]S = (-5,0)[/tex]
[tex]T = (5,2)[/tex]
[tex]V = (0,-2)[/tex]
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Start by calculating the slope of line ST
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[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]
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[tex]m = \frac{y --2}{-1-0}[/tex]
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Since both lines are perpendicular, then the product of the slopes is -1.
So, we have:
[tex]\frac 15 \times (-y -2) = -1[/tex]
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[tex]y +2 = 5[/tex]
Subtract 2 from both sides
[tex]y = 3[/tex]
Hence, the value of y in the coordinates of point W is 3
Read more about line coordinates at:
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Answer:
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Step-by-step explanation:
OMG PLS HURRY IN TEST!!
Select the correct answer.
Which graph represents this system of inequalities?
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Answers
Answer:
A is the correct answer!
Good luck on your test!
Answer: a
Step-by-step explanation:
A group of three friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax.
Answers
Answer:
The total would come out to be $105.66
Step-by-step explanation:
Answer:
87.50%5=17.50=5%
Step-by-step explanation:
87.50%5=17.50
17.50x3=52.5
52.50
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2.) 400/6=66.6
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Answer:
13°
Step-by-step explanation:
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[Equation] (-6x + 53)° + (-9x + 22)° = 90°
[Distribute] -6x° + 53° + -9x° + 22° = 90°
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[Subtract 75 from both sides] 15x° = 15
[Divide both sides by 15] x = 1°
Then, plug-in our x for angle ADC:
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[Distribute] -9x° + 22°
[Subsititue / plug-in] -9(1)° + 22°
[Multiply] -9° + 22°
[Combine like terms] 13°
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I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
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Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
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The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.
is -54 colder than -127
Answers
Answer:
-127 is colder
Step-by-step explanation:
-54 is closer to 0 than -127 so -127 is colder
They are both negatives BUT! -127 is greater than -54 and the 0 is the begginging of frezing point
4 + 5 = 5 + 4
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Answers
Answer:
it depend on the question but if it is asking if they have the same answer then it is true
Step-by-step explanation:
Answer: false
Step-by-step explanation: 4+5=9 5+4=-9