![[need Math Help] Study Buddies Part #2](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/sD6rUY4f04PCwaW98f7HJu0rTcsYfWgx.png)
Answers
Answer:
Part A) The distance between Whitney's house and Anh's house is 6.5 miles.
Part B) The total distance traveled by Whitney during the trip was 9.5 miles.
Step-by-step explanation:
Part A)
Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.
So, instead, we can calculate Whitney's total displacement. Total displacement is given by:
[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]
Where v(t) is the velocity function.
So, the displacement of Whitney when she traveled from her house to Anh's house will be:
[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]
To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.
The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:
[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]
Now, we can calculate the area of each figure.
The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:
[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]
The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:
[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]
Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:
[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]
However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.
Then the displacement will be:
[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]
So, the distance between Whitney's house and Anh's house is 6.5 miles.
Part B)
The total distance differs from displacement in that it includes all the distances in both directions. It is given by:
[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]
In other words, all of our values are now positive. We will utilize the same strategy:
[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]
Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:
[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]
Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.
Related Questions
15. Which graph shows - 3x + y = 8
first question
Answers
Answer:
Im sorry but i can't read it
Step-by-step explanation:
O GEOMETRY, MEASUREMENT, DATA ANALYSIS
Metric conversion with decimal values: Two-step problem
A coral reef grows 0.17 m every week. How much does it grow in 13 weeks?
Write your answer in centimeters.
cm
X Х
5
?
Meters to centimeters
Answers
Answer:
It grows 221 centimeters in 13 weeks.
Step-by-step explanation:
Each meter has 100 centimeters.
A coral reef grows 0.17 m every week
So it grows 0.17*100 = 17 cm every week.
How much does it grow in 13 weeks?
17 cm every week for 13 weeks, so
17*13 = 221
It grows 221 centimeters in 13 weeks.
A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)
Answers
9514 1404 393
Answer:
93.84
Step-by-step explanation:
The exponential function will be of the form ...
q = a×b^t
where 'a' is the initial quantity and b is the growth factor per time period t.
If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...
q = 140×(1 -4%)^t
q = 140×0.96^t
98 years is 9.8 decades, so the quantity q remaining will be ...
q = 140×0.96^9.8 ≈ 93.84
The quantity remaining will be 93.84 after 98 years.
Answer:
94.6
Step-by-step explanation:
If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.
Answers
Answer:
I gotchu
Step-by-step explanation:
The volume triples
Odysyware
Answer:
The volume triples
Step-by-step explanation:
i got 100% on quiz for odysseywa
2
3
x +
1
2
y = 2
3
8
x +
5
6
y = −
11
2
Answers
Answer:
The answer is in the image below
cooking like a chef im a five star michellin
Answers
Answer:
0o0
Step-by-step explanation:
umm... oki buddy
Answer;
oo nice
Step by step Explanation
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answers
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
4 less than the product of 8 and a number is equal to 6
Answers
+4 +4
6x=12
6x/2=12/6
X=2
Is this a Percent Increase or Decrease Problem?
Shaleka had a 10%-off coupon and paid $36 for pair of
jeans.
Answers
Answer:
Percent Decrease
Please mark as brainliest for further answers :)
GIVING BRAINLIEST TO FIRST COMPLETE ANSWER
View the work below from a student last year. What was their mistake? Be detailed in their response.
-3(x + 4) = 2x - 5
-3x + 4 = 2x - 5
4 = 5x - 5
9 = 5x
1.8 = x
Answers
Answer:
x = -1.4
Step-by-step explanation:
-3(x + 4) = 2x - 5
-3x + (-3*4) = 2x - 5
The mistake was in the above equation where -3 should be multiplied with 4.
-3x -12 = 2x -5
5 -12 = 2x+3x
-7 = 5x
x = -7/5 = - 1.4
CAN SOMEONE PLEASE HELP ME IVE ASKED MORE THAN 20 TIMES.
A wildlife society is taking a sampling of the lengths of bluegill fish at a local lake.
If the survey resulted in the data above, the distribution of fish lengths would be best described as...
A.
symmetrical with multiple modes.
B.
symmetrical with one mode.
C.
skewed to the right.
D.
skewed to the left.
Answers
Answer:
I’m thinking skewed to the right
Answer:
I think it is D but not totally sure.
And i am sorry you had to ask so many times, i hope D was the correct answer.
Also this talks about skewed images:
How many triangles are there help please
Answers
Answer:
35
Step-by-step explanation:
Make sure to count the right triangles the equilateral triangles as well.
Hey, I need help!
What is 56/2?
Answers
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?
Answers
Answer:
P = 0.232
Step-by-step explanation:
In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.
This adds up to a total of 30 bottles.
Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.
The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,
This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:
p = 12/30
Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.
In this case, the probability is:
q = 11/29
The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.
Then the probability of pulling apple juice and then pulling another apple juice is:
P = p*q = (12/30)*(11/29) = 0.232
First answer gets brainest. 8th grade math root question
Answers
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
A mason gets $684 for 9 days
of work how many days
should he work to get $912
Answers
Answer:
12days
Step-by-step explanation:
A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.
Answer:
12 days
Step-by-step explanation:
912/76 = 12
What is
-2.3 -
(4.5 – 3)?
2.3
1.3
10.3
-3.3
Answers
Answer:
-3.8
Step-by-step explanation:
-2.3 - 1.5 = -3.8
Find the missing side
Answers
What is the value of x ?
Answers
Answer:
x= - square root 141 or x= square root 141
18 is 32% of what number w
Answers
Answer:
56.25
Step-by-step explanation:
100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18
solve x + 1 > 3. graph the solution. can someone help me out??
Answers
Answer:
x>2
Step-by-step explanation:
x+1>3
x>3-1
x>2
I hope this helps
Find x in each triangle.
Answers
Answer:
it is 3.4 cm
Step-by-step explanation:
by phythagorous teorm
3 square +1.6 square=x square
11.56=x square
then x =radical 11.56 =3.4 cm
Find a formula for a geometric sequence that begins with 11, -33, 99
Answers
Answer:
17
Step-by-step explanation:
a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?
Answers
Answer:
150 pairs
Step-by-step explanation:
so total money spent Is equal to 5000
profit is equal to 3000
profit on each pair is equal to 20
so 3000 divided by 20
which gives 150
so 150 pairs of sunglasses were involved
pls give me brainliest I need it
Answer:
The sunglasses involved are 200
Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answers
Answer:
12.98x36.7=476.366
13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21
paki answer po plss
Answers
In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.
The area of a square is 1800 in2, how long is each diagonal?
Answers
9514 1404 393
Answer:
60 in
Step-by-step explanation:
The area of a square can be computed as ...
A = (1/2)d^2 . . . . where d is the length of the diagonal
For an area of 1800 in^2, the diagonal length can be found as ...
1800 in^2 = 1/2d^2
3600 in^2 = d^2
d = √3600 in = 60 in
The length of each diagonal is 60 inches.
Please help ! Please help! I put extra points! And I will heart you!
Answers
Answer:
89 degrees
Step-by-step explanation:
Answer:
91 degrees
Step-by-step explanation:
180-89=91 degrees
180 is the line that 89 degrees is on.
Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16
Answers
Workout the probability that spinner A lands on 2 and spinner b does not land on b
Answers
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15