A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel routes, with the time required for each segment, is shown below.
What is the shortest path and what is the shortest possible time to travel from A to Z? (Round your answer to the nearest whole number.)
Shortest Path Choices: A-B, B-E, E-Z ; A-C, C-Z ; A-B, B-D, D-Z
Answer:
Shortest Path : A-C, C-Z
Shortest possible time = 143
Step-by-step explanation:
P.S - The exact question is -
Given -
T1 = 38
T2 = 52
T3 = 63
T4 = 67
T5 = 91
T6 = 62
T7 = 64
To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?
Proof -
Choices for shortest path is -
Choice 1 : A-B, B-E, E-Z ;
Choice 2 : A-C, C-Z ;
Choice 3 : A-B, B-D, D-Z
Now,
For Choice 1 : A-B, B-E, E-Z
Distance between A-B = T1 = 38
Distance between B-E = T4 = 67
Distance between E-Z = T7 = 64
So,
The distance = 38 + 67 + 64 = 169
Now,
For Choice 2 : A-C, C-Z
Distance between A-C = T2 = 52
Distance between C-Z = T5 = 91
So,
The distance = 52 + 91 = 143
Now,
For Choice 3 : A-B, B-D, D-Z
Distance between A-B = T1 = 38
Distance between B-D = T3 = 63
Distance between D-Z = T6 = 62
So,
The distance = 38 + 63 + 62 = 163
∴ By comparing we get
Shortest Path = A-C, C-Z
Shortest possible time = 143
The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.
It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.
It is required to find the shortest path and the shortest possible time to travel from A to Z.
What is the shortest path?It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.
We have the time required to travel from A to B is T1 = 38 units
Similarly, for the path A to C is T2= 52 units
For the path B to D is T3= 63 units
For the path B to E is T4 = 67 units
For the path C to Z is T5 = 91 units
For the path D to Z is T6 = 62 units
For the path E to Z is T7 = 64 units
For the path A→B→E→Z
The total time required = T1+T4+T7
= 38+67+64 ⇒169 units.
For the path A→C→Z
The total time required = T2+T5
= 52+91 ⇒143 units.
For the path A→B→D→Z
The total time required = T1+T3+T6
= 38+63+62 ⇒ 163 units.
Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.
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An unbalanced scale with 8 blocks on the left side of the scale and 3 blocks on the right side of the scale
For the image above, which action below allows the scale to be balanced?
Add 3 blocks to the right side.
Add 4 blocks to the right side.
Take away 3 blocks from the left side.
Take away 5 blocks from the left side.
Answer:
Take away 5 blocks from the left side
Step-by-step explanation:
Take away 5 blocks from the left side and then you will get 3 blocks on both sides then the scale will be balanced.
pls help me anyone PLSSSSS with the whole procedure pls help me pls
Answer:
I don't think I know hun.... I would had really heped you if I know...swaay..
Need help asap 10 points, provide explanation please.
Answer:
Step-by-step explanation:
Use the distance formula between points to find all sides:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
AB=[tex]\sqrt{13}[/tex]
BC=[tex]\sqrt{13}[/tex]
CA=[tex]\sqrt{26}[/tex]
This is a 45° 45° 90° triangle, where two of the sides are equal and the other side is the first two sides times [tex]\sqrt{2}[/tex], so yes, it is a right triangle.
Answer:
Answer D is correct.
Step-by-step explanation:
By inspection, the side lengths are {3, 4, 5}, and this triplet satisfies the Pythagorean Theorem: 3^2 + 4^2 = 5^2. Thus this IS a right triangle.
One could also find the lengths of the three sides using the distance formula and the endpoints of each line segment forming the triangle.
Answer D is correct.
Two fnenas. Ben and Mike. take parun a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39 min 4 sec how long did ben wait at the finish line for mike
Answer:
15 minutes and 52 seconds
Step-by-step explanation:
Well you jsut gotta subtract the two times
I would put them liek this
1:39:4
-1:23:12
Since the last part is un doable just add the minute into the seconds and take off a minute
1:38:64
-1:23:12
You’d get if solved correctly, 15 minutes and 52 seconds
What is the answer to x + 4x +6x?
Answer:
11x
Step-by-step explanation:
Through addition you can combine like-terms meaning all terms with the same variable. Because of this all of these terms can be combined without too much hassle! :)
Answer:
11x
cause 4x+6x=10x
10+1x=11x!
Below is the graph of equation y=−|x+2|-1. Use this graph to find all values of x such that
1. y > 0
2. y < 0
3. y = 0
Please add a real answer! No links!
Thx so much for helping!
Answer:
I need points sorry
Step-by-step explanation:
What do kitty cats like to eat for breakfast
Answer:
Mice crispys
Step-by-step explanation:
A rectangular prism has length of 5 inches a width of 3 and. A height of 2 inches
Answer:
30 inches
Step-by-step explanation:
A = L * W * H
A = 5 * 3 * 2
A = 15 * 2
A = 30
no question, just put thx ig
have a good day
Answer:
Thank you, thank you, thank you *bows head* ✌️❤️
[tex] \infty \infty [/tex]
Answer:
Yay points
let's go oooohhhhh
(*/_÷)
find area of the shape 7ft 10ft 10ft 11ft
Answer:
what are the choices.
Step-by-step explanation:
What is 0.36 written as a rational number?
Answer:
If you mean what is the square root of 36, then the answer is 6.
6 × 6 = 36.
Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.
Hope this helps!!
4. Which equation shows a proportional relationship?
A. y = 1/2 x - 1/2 B. y = 1/2x C. y = 2x - 2
D y = 2/x
Answer:
a
Step-by-step explanation:
Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21
Answer:
sin(3π/7 - 2π/21)
Step-by-step explanation:
Given
sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21
Required
Write a trigonometry formula for the expression
Using sine formula, we have:
sin(A - B) = sinAcosB - cosAsinB
The above formula can be applied to the given expression where
A = 3π/7
B = 2π/21
So, the trigonometry formula is:
sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21= sin(3π/7 - 2π/21)
Answer:
sin(π/3), exact value √3/2
Step-by-step explanation:
21 divided by 7 is 3, 3 - 2= 1, 1 is = π
please help what would this be?
Answer:
d
Step-by-step explanation:
HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?
Answer:
The answer is 110 miles
Step-by-step explanation:
make me the brainliest plz
Find the surface area.
16 km
10 km
Answer:
hi
Step-by-step explanation:
wich shape?
have a nice day
17,13,16,18,38,14,21,24
Answer:
if the question is asking about the next numbers the it should be: 27,30,33,36
Step-by-step explanation:
the pattern is +3 so you keep on adding
Need help with this question
4. Sue had $58 in her account. What is her account balance after buying a pair of
shoes that cost $78? *
Answer:
-20
Step-by-step explanation:
58-78=-20
the white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends. On Monday he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day. on what day of the week does he arrive just 15 seconds late
Answer:friday
Step-by-step explanation:
On Monday of the week does he arrive just 15 seconds late.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends
Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day.
On Monday he arrives 16 minutes late.
On Tuesday he arrives 8 minutes late.
On wednesday he arrives 4 minutes late.
On Thursday he arrives 2 minutes late.
On Friday he arrives 1 minutes late.
On Saturday he arrives 30 seconds late.
Sunday is a weekend.
On Monday he arrives 15 seconds late.
Hence, On Monday of the week does he arrive just 15 seconds late.
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A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.
Answer:
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1
The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
solve for u
[tex] \frac{u}{9} = \frac{8}{12} [/tex]
simplify your answer as much as possible
Use this diagram to find the value of questions 11-15
PLS PLSPLS HELP I WILL MARK FIRST ANSWER AS BRANLIEST
Answer:
the value of ¨1/8 of 24¨ is 3
Step-by-step explanation:
also what do u have to do at the top???
so i can help you
what is 11 one fourth improper fraction
Answer:
Step-by-step explanation:
45/5
Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.
Midpoint Formula: M = (4x2.979)
들
2
Enter
Answer:
A
Step-by-step explanation:
(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.
What is a midpoint?The midpoint of a line segment is a point that lies exactly halfway between two points.
Consider the points B(0,a) and D(a,0).
The general form of midpoint formula is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0
Therefore, the value that belongs in the green box is given by
(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a
(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a
The midpoint is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)
Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).
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Find the area of the trapezoid
The perpendicular sides of a triangular rug measure 3 feet and 4 feet. Calculate the perimeter of the rug. a. 39 ft c. 21 ft b. 7 ft d. 12 ft Please select the best answer from the choices provided A B C D
Answer:
D
Step-by-step explanation:
In the comments tell me if you want me to explain.
Answer:
D
Step-by-step explanation:
edge2021
Can somebody please help me with this
Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y
Answer:
you did not send the graph-_-
Step-by-step explanation:
