After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
To determine the worst-case scenario that minimizes the total distance traveled in two-way trips to and from the existing departments, we need to calculate the total distance for each possible combination of facility locations (F1 and F2).
Let's calculate the total distance for each scenario:
F1 to A, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to A) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
F2 to A, and F1 to B:
Total distance = distance(D1 to F2) + distance(F2 to A) + distance(D2 to F1) + distance(F1 to B) + distance(D3 to F1) + distance(D4 to F1) + distance(D5 to F2)
Calculate the distances using the coordinates provided and sum them up.
F1 to C, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to C) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
None of them (No facility locations specified)
F1 to B, and F2 to C:
Total distance = distance(D1 to F1) + distance(F1 to B) + distance(D2 to F1) + distance(F2 to C) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
Please note that to calculate the distance between two points, you can use the Euclidean distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Perform the calculations for each scenario to determine the worst-case scenario that minimizes the total distance traveled.
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Which integer is 55√ closest to?
Determine the speed of a comet that moves 3.20x1015m in 4.80x10's.
Answer:
Step-by-step explanation:
15 mph just multiply it
PLS HELP !!!!!!
Tell me the integers pls ! ASAP !
Answer:
-3 is the integer
4 would be greater than -3
The temperature in Fargo was Negative 6 degrees Celsius at 10 am. By noon, the temperature went up four degrees. A number line with points blank, negative 6, blank, A, negative 3, B, blank, 0, blank, C, 3, D, blank, 6, blank. Which point is a representation of the warmer noon temperature in degrees Celsius?
Answer:
POINT BBBBBB
Step-by-step explanation:
Point B represent the warmer noon temperature.
What is temperature difference?The temperature difference between two points of measurement. The temperature varies in either time or location.
Given temp. at 10 am = -6 ⁰C
temp. at noon raise by 4 degrees
temp. at noon = -6 + 4 = -2 ⁰C
acc. to number line in question,
-6 … A -3 B … 0 … C 3 D
here -2 lie between -3 and 0,
and B is between -3 and 0
Hence B represent of the warmer noon temperature in degrees Celsius.
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Someone please help me!!
Answer:B and E
Step-by-step explanation:
Solve the inequality. (hint: isolate the absolute value).
8 + |4v - 7| >17
Answer:
v <−1/2 or v >4
Enter the digits in numerical order, from least to greatest. Some digits will repeat. Help plz!
Answer:
I only know that for table e the bottom under 4 is 6.
Step-by-step explanation:
Segments b and c are parallel. What is the value of x?
Answer:
x = 8
Step-by-step explanation:
From the figure attached,
'b' and 'c' are the parallel lines and line 'a' is a transversal line intersecting parallel lines at the points respectively.
Line 'a' is perpendicular to line 'b'.
Angle between lines 'a' and 'b' is 90°.
Therefore, m(∠X) + 90° = 180° [Linear pair of angles]
m(∠X) = 90°
Since, angle X and angle having measure [5(x + 7) + 15]° are the corresponding angles,
m(∠X) = [5(x + 7) + 15]°
90° = [5(x + 7) + 15]°
5(x + 7) = 90 - 15
5(x + 7) = 75
x + 7 = 15
x = 8
Therefore, x = 8 will be the answer.
The sum of 3 consecutive even integers is 36. What is the first of the 3
integers? HURRY I NeED HELP I’ll give brainliest
Given that the sum of 3 consecutive even integers is 36, we can define the variables to be:
N, (N + 2), (N + 4)And we can set up the equation as:
[tex]\sf {N + (N + 2) + (N + 4) = 36} \\ \sf{\longrightarrow 3N + 6 = 36} \\ \sf{\longrightarrow 3N = 30} \\ \sf{\longrightarrow N = 10}[/tex]
The first even number which we assumed was N, which is equal to 10.
And hence the answer will be
[tex]\leadsto \underline{\boxed{\sf{\pink{\quad10\quad}}}}[/tex]
Verification:
3 consecutive even no.s :
N = 10N + 2 = 12N + 4 = 14Their sum = 10 + 12 + 14 = 36
Hence, N = 10 is the solution of the question.
Determine the equation of the line that passes through the points:
(2, 4) and (6, -4)
Fill the the blanks: y = _x + _
Answer:
y = -2x+8
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -4-4)/(6-2)
= -8/4
= -2
The slope is -2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Using the point ( 2,4)
4 = -2(2) +b
4 = -4+b
Add 4 to each side
4+4 = -4+4+b
8 = b
y = -2x+8
PLZ HELP ME ASAP!!!!
A high school volleyball practice calls for 16 minutes of running and warming up, 36 minutes for basic skills, 24 minutes for new material, 28 minutes for team play, and 12 minutes for a special task. A longer practice still preserves these ratios.
If 35 minutes was spent on team play, then what is the total amount of time spent on basic skills and new material in the longer practice?
1. 35 min
2. 45 min
3. 55 min
4. 75 min
Answer:
I wanna say C but I might be wrong
Step-by-step explanation:
what is the values of x and y if 10x-61+x+10=18y+5
Answer:
Part 1) The value of x is 21
Part 2 The value of y is 8
Step-by-step explanation:
step 1
Find the value of x
we know that
------> by supplementary angles (linear pair)
step 2
Find the value of y
we know that
----> by vertical angles
substitute the value of x and solve for y
Carrie has a planter box with an area of StartFraction 4 Over 5 EndFraction of a square meter. She wants to plant 10 snap pea seeds, each with an equal amount of room to grow. What area will she give to each snap pea plant?
Answer: I think its 2/25 I'm not to sure though
Answer:
B
Step-by-step explanation:
The slope of a line that is perpendicular to another line, is the negative reciprocal. The negative reciprocal means that you flip the fraction and change the
sign
TRUE or FALSE
Answer:
TRUE
Step-by-step explanation:
There is a fact about the perpendicular lines:
The product of their slopes is -1
Example:
If the slope of one line is [tex]\frac{2}{3}[/tex], then the slope of the line which is perpendicular to it is [tex]\frac{-3}{2}[/tex] because [tex]\frac{2}{3}[/tex] × [tex]\frac{-3}{2}[/tex] = -1 [tex]\frac{-3}{2}[/tex] is the negative reciprocal of [tex]\frac{2}{3}[/tex] To get the slope of a perpendicular line to a line flip the slope of the line and change its signThe slope of a line that is perpendicular to another line, is the negative reciprocal is TRUE
Express 0.555... as a fraction in simplest form
Answer:
0.40404040.
Step-by-step explanation:
How to solve 3x³ - 51x² + 16x
Using quadratic formula
Answer:
x=5or x=1/3
Step-by-step explanation:
Mrs.McEnroe 6th grade class has 15 students 9 of which are boys. How would you describe this ratio
Answer:
3 : 2
Step-by-step explanation:
Number of students in the class = 15
Number of boys in class = 9
To describe ratio;
We know that the number girls in the class will be
15 - 9 = 6 students.
Simply in this class, the ratio of boys to girls:
9 : 6 = 3 : 2
In the class, we have 3 boys to 2 girls.
want 20 points? then be cool and answer this with your favorite number.
Answer:
answer: Ninety-Six.....
Step-by-step explanation:
96
Answer:
21
Step-by-step explanation:
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
A conical water tank with vertex down has a radius of 13 feet at the top and is 21 feet high. If water flows into the tank at a rate of 30 ft^3/min, how fast is the depth of the water increases when the water is 17 feet deep?
The depth of the water is increasing at equation editorEquation Editor_____ ft/min.
Answer:
[tex]\frac{dh}{dt}\approx0.08622\text{ ft/min}[/tex]
Step-by-step explanation:
We know that the conical water tank has a radius of 13 feet and is 21 feet high.
We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:
[tex]\frac{dV}{dt}=\frac{30\text{ ft}^3}{\text{min}}[/tex]
We want to find how fast the depth of the water is increasing when the water is 17 feet deep. So, we want to find dh/dt.
First, remember that the volume for a cone is given by the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.
We can see that we have two similar triangles. So, we can write the following proportion:
[tex]\frac{r}{h}=\frac{13}{21}[/tex]
Multiply both sides by h:
[tex]r=\frac{13}{21}h[/tex]
So, let's substitute this in r:
[tex]V=\frac{1}{3}\pi (\frac{13}{21}h)^2h[/tex]
Square:
[tex]V=\frac{1}{3}\pi (\frac{169}{441}h^2)h[/tex]
Simplify:
[tex]V=\frac{169}{1323}\pi h^3[/tex]
Now, let's take the derivative of both sides with respect to t:
[tex]\frac{d}{dt}[V]=\frac{d}{dt}[\frac{169}{1323}\pi h^3}][/tex]
Simplify:
[tex]\frac{dV}{dt}=\frac{169}{1323}\pi \frac{d}{dt}[h^3}][/tex]
Differentiate implicitly. This yields:
[tex]\frac{dV}{dt}=\frac{169}{1323}\pi (3h^2)\frac{dh}{dt}[/tex]
We want to find dh/dt when the water is 17 feet deep. So, let's substitute 17 for h. Also, let's substitute 30 for dV/dt. This yields:
[tex]30=\frac{169}{1323}\pi (3(17)^2)\frac{dh}{dt}[/tex]
Evaluate:
[tex]30=\frac{146523}{1323}\pi( \frac{dh}{dt})[/tex]
Multiply both sides by 1323:
[tex]39690=146523\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]\frac{dh}{dt}=\frac{39690}{146523}\pi[/tex]
Use a calculator. So:
[tex]\frac{dh}{dt}\approx0.08622\text{ ft/min}[/tex]
The water is rising at a rate of approximately 0.086 feet per minute.
And we're done!
Edit: Forgot the picture :)
John throws a ball upward at a rate of 22 meters per second from an
initial height of 3 meters. The height of the ball above the ground can
be approximated by h (t) = -16t2 + 22.0 + 3, where t represents
the amount of time, in seconds, since the ball has been released.
How many seconds will it reach the ground?
Answer:
1.5 seconds
Step-by-step explanation:
The height equation is supposed to be ...
h(t) = -16t^2 +22t +3
We want to find the positive value of t where h(t) = 0.
0 = -16t^2 +24t -2t +3 . . . . facilitate factoring
0 = -8t(2t -3) -1(2t -3) . . . . . factor by pairs
0 = -(8t +1)(2t -3) . . . . . . . . complete the factoring
The solutions to this are ...
t = -1/8, 3/2
The ball will reach the ground in 1.5 seconds.
Diane invested her savings in two investment funds. The $2000 that she invested in Fund A returned a 7% profit. The amount that she invested in Fund B returned a 2% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
Answer:4% profit???? she aint gonna get rich of off 4......
...... shes gonnba be broke that lame as (c(un)t
Step-by-step explanation:
The area of a triangle is 70ft? and the base is 10ft. What is the
height of the triangle? (A = } .b.h)
0 7 ft
14 ft
140 ft
28 ft
Answer:
14 ft
Step-by-step explanation:
70 times 2 is 140 and 140 divided by 10 is 14
Answer:
The height is 14 ft
Step-by-step explanation:
10 x 14= 140
140 x 1/2 = 70
3. Which expression is not equivalent to mn + 5?
A. nm + 5 B. 5n + m C. 5 + mn D. 5 + nm
Answer: it is B. 5n + m
Step-by-step explanation: it is because 5 is not being multiplied by anything so it is incorrect.
The answer is B
Give thanks to this if ur from the UK
Probaly you all are American
Simplify The Following Expression.
(5/9x+3/8)-(1/2x+1/3)
A) 19/18x+17/24
B) 1/18x+17/24
C) 1/18x+1/24
D) 19/18x+1/24
Answer:
C
Step-by-step explanation:
remove unnecessary ()
5/9x+3/8-(1/2x+1/3)
when there is a - in front of an expression in (), chanbe he sign of each term in the expression
5/9x+3/8-1/2x-1/3
now calculate the difference
1/18x+3/8-1/3
subtract the fractions
1/18x+1/24
(time limit)
Which two rectangles have equal area? Justify your answer using properties of operations, substitution, or simplifying. Typer your answer in the short answer section. (You can show work on your paper, but you do not have to submit your work)
Answer:
#2 and #4
Step-by-step explanation:
area is length times width, so to find your answer you must multiply all the lengths and widths given in the table. when you multiply 3x+6 and 4 (for #2) and simplify, you get 12x+24. when you multiply 2x+4 and 6 (for #4) and simplify, you get the same thing: 12x+24.
What is the amount of sales tax charged on the repaired computer at Store A? pls help not B!
Answer:
A 72$
and a good day
Answer:
72
explanation:
Just took the test
What is the answer for this question
Multiply. (2/5)(−5/4)
Answer:
-1/2 this is the answer
Draw a tape diagram that can be used to solve this problem: Elena has 25.5 ounces of juice. She pours equal amounts for each of her 3 friends, and then she pours the remaining 6 ounces for herself. How many ounces did she pour for each of her friends?
Answer:
She poured 6.5 ounces for each of her friends
Step-by-step explanation:
1
Domino's can make 4 pizzas using 3 1/2 cups of sauce. How many cups of sauce are needed to make 1
pizza?
7/8 cups of sauce are needed to make 1 pizza.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Domino's can make 4 pizzas using 3 1/2 cups of sauce.
Now, for 1 pizza he needed
= (3 1/2) /4
= (7/2)/ 4
= 7/2 x 1/4
= 7/8 cups of sauce.
Hence, 7/8 cups of sauce needed.
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