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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read what on the image and it is so easy
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F - 1.47
The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.
pls help i’ll try to give brainlist
Answers
Answer:
1.In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.
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.
On May 13, 1846, the United States Congress declared war on Mexico after a request from President James K. Polk. Then, on May 26, 1848, both sides ratified the peace treaty that ended the conflict.
The conflict centered on the independent Republic of Texas, which opted to join the United States after establishing its independence from Mexico a decade earlier.
The new U.S. president, James K. Polk, also wanted Texas as part of the United States, and his predecessor, John Tyler, had a late change of heart and started the admission process before he left office. Polk and others saw the acquisition of Texas, California, Oregon, and other territories as part of the nation’s Manifest Destiny to spread democracy over the continent.
The U.S. also tried to buy Texas and what was called “Mexican California” from Mexico, which was seen as an insult by Mexico, before war broke out.
Mexico considered the annexation of Texas as an act of war. After a series of border skirmishes, President Polk asked Congress for the war declaration because, under Article I, Section 8 of the Constitution, only Congress could declare war.
In the fighting that followed, the mostly-volunteer United States military secured control of Mexico after a series of battles, and the Treaty of Guadalupe Hidalgo was signed on February 2, 1848.
It was the first large-scale success of a United States military force on foreign soil.
Mexico received a little more than $18 million in compensation from the United States as part of the treaty.
The pact set a border between Texas and Mexico and ceded California, Nevada, Utah, New Mexico, most of Arizona and Colorado, and parts of Oklahoma, Kansas, and Wyoming to the United States. Their transfer to the United States’ control also cut the territorial size of Mexico in half.
On the surface, the war’s outcome seemed like a bonanza for the United States. But the acquisition of so much territory with the issue of slavery unresolved lit the fuse that eventually set off the Civil War in 1861. But the underlying issue was how adding new states and territories would alter the balance between free and slave states was critical.
On the battlefield, Robert E. Lee, Ulysses S. Grant, and Stonewall Jackson were among those who served in the war against Mexico who would later gain prominence in the American Civil War.
What is the quotient of 56÷34?
Answers
Answer:
56/34 = [tex]\frac{28}{17}[/tex] or [tex]1\frac{11}{17}[/tex] or 1.65
Answer:
56/34=1.65 or 1 [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
Answer this please!!!
Answers
Answer:
$40
Step-by-step explanation:
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?
Answers
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
[tex]\frac{54}{75} = 72[/tex]
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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
Pls help it's due tonight!!!!!!!!!!
A new born baby dropped in weight from 4500 g to 3200g. What percentage loss is this.
Answers
Answer:
3200/4500=71.1%
so a 29.9% drop
Hope This Helps!!!
Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4
−
5
x
3
−
10
x
2
+
2
x
, and why?
Answers
Answer:
It is the first answer choice.
Step-by-step explanation.
Use synthetic division and there is no remainder, so -1 is a factor
4 + 5 = 5 + 4
Is it true or false
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
Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize?
Answers
Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
Answer:
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.
Calculate the volume of the cylinder:
10 cm
6 cm
Answers
Answer:
60
Step-by-step explanation:
10 ×6
that is the simple answer to your question
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.
Answers
Answer:the answer is b
Step-by-step explanation:
i took the test
Graph the line that passes through the points (-1,7) and (-3,5) and determine
the equation of the line.
Answers
Answer:
y = x + 8
Step-by-step explanation:
find slope first:
m = 7-5 / -1-(-3)
m = 2 / 2
m = 1
now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into
y = mx + b to solve for 'b'
7 = 1(-1) + b
7 = -1 + b
8 = b
put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:
y = x + 8
EWFrtujyhytgrfeds.DFGFDS
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Answer:
Reese's puffs Reese's puffs
what is 225 decreased by 24% ???
Answers
Answer:
171
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
New value =
225 - Percentage decrease =
225 - (24% × 225) =
225 - 24% × 225 =
(1 - 24%) × 225 =
(100% - 24%) × 225 =
76% × 225 =
76 ÷ 100 × 225 =
76 × 225 ÷ 100 =
17,100 ÷ 100 =
171
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HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
Answers
........
Line ST and point V are shown on the graph. On a coordinate plane, line S T goes through (negative 5, 0) and (5, 2). Point V is at (0, negative 2). Line VW is to be drawn on the graph such that it is perpendicular to line ST. If the coordinates of point W are (â’1, y), what is the value of y? â’7 â’5 2 3.
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]
[tex]W = (-1,y)[/tex]
Start by calculating the slope of line ST
[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m=\frac{2- 0}{5--5}[/tex]
[tex]m=\frac{2}{10}[/tex]
[tex]m=\frac{1}{5}[/tex]
Next, calculate the slope of line VW
[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{y --2}{-1-0}[/tex]
[tex]m = \frac{y +2}{-1}[/tex]
[tex]m = -y -2[/tex]
Since both lines are perpendicular, then the product of the slopes is -1.
So, we have:
[tex]\frac 15 \times (-y -2) = -1[/tex]
Divide both sides by -5
[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:
W=3
Step-by-step explanation:
Helpppp, I don’t understand
Answers
Answer:
13°
Step-by-step explanation:
Since these are complementary angles, we can add them together, set it equal to 90, and solve for x:
[Equation] (-6x + 53)° + (-9x + 22)° = 90°
[Distribute] -6x° + 53° + -9x° + 22° = 90°
[Combine like terms] 15x° + 75 = 90°
[Subtract 75 from both sides] 15x° = 15
[Divide both sides by 15] x = 1°
Then, plug-in our x for angle ADC:
[Given] (-9x + 22)°
[Distribute] -9x° + 22°
[Subsititue / plug-in] -9(1)° + 22°
[Multiply] -9° + 22°
[Combine like terms] 13°
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- Heather
How many 1/2 -yard lengths are in 1 yard?
Answers
If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1
can someone please help me with this?!
Answers
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
For f (x) = 2x - 1 evaluate f(-8)
Answers
Step-by-step explanation:
f(x) = 2x - 1
Putting value of x = - 8
f(-8) = 2(-8) - 1
= - 16 - 1
= - 17
where dp you see yourself in the future?
Answers
Answer:
Happy
Step-by-step explanation:
Solve if x is equal to 4. y = 2x
Answers
if x=4 then the equation would be y=2(4)
2(4)=8
ok the other one did not work so what 10 + 10 × 10 + 10 ÷ 10
Answers
Answer:
111
Step-by-step explanation:
it is correct 10 + 10 × 10 + 10 ÷ 10= 111
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PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answers
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
Is the figure a right triangle?
A yes, the relationship of the sides follows Pythagorean theorem
B no, the relationship of the sides DOSE NOT follow Pythagorean theorem
C no, the relationship of the sides follows Pythagorean theorem
D Yes, the relationship of the sides DOSE NOT follow Pythagorean theorem
Answers
Answer:
c will correct..
like
h² = p² + b²
14² = 74 + 122
196 = 196
Hope this helps
3. The school volleyball team is hosting a car wash to raise money for its upcoming season. The coach spends $24 on supplies for the car wash. The team plans to charge $6 per car. How much money will the team make if 50 cars come to the car wash? The coach tells the girls they need to raise at least $400 to attend a camp the following week. How many cars do they need to come to the car wash to make enough money to go to the camp?
Answers
2.) 400/6=66.6
$300 if 50 cars come to the car wash
at least 67 cars if they want to raise at least $400
OMG PLS HURRY IN TEST!!
Select the correct answer.
Which graph represents this system of inequalities?
y > x + 3
y ≤ 5x − 1
Answers
Answer:
A is the correct answer!
Good luck on your test!
Answer: a
Step-by-step explanation:
Based on the information marked in the diagram, AABC and ADEF must be congruent.
True or false
Answers
We conclude that the triangles are congruent, so the statement is true.
Are the two triangles congruent?We can see two right triangles ABC and DEF.
In the diagram, we can see that BA = CE, and BC = EF.
And because both are right triangles, we can conclude that FD is equal to AC.
So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.
If you want to learn more about congruent figures:
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