Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
Unfortunately, the road from Fordyce and Sheridan is closed due to dangerous road conditions caused by the recent bad weather. Find the shortest route between each pair of towns
Answer:
a) Malvern - Sheridan - Pine Bluff
b) Camden - Fordyce - Pine Bluff
c) Benton - Malvern - Sharidan - Arkadepia
d) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce
e) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden
Step-by-step explanation:
P.S - The exact question is -
Given - According to a map of Arkansas, a number of good roads connect
some of the towns south of Little Rock. The road between
Malvern and Benton is 23 miles long, and between Benton and Pine
Bluff is 62 miles long. The road between Malvern and Sheridan is
28 miles long, and then from Sheridan to Pine Bluff is 22 miles
long. Arkadelphia is connected to two towns: it is 12 miles from
Gurden and 21 miles from Sheridan. Fordyce has three roads to
these towns: 45 miles to Pine Bluff, 39 miles to Sheridan, and 27
miles to Camden. The road from Gurden to Camden is 38 miles.
To find - Unfortunately, the road from Fordyce to Sheridan is closed due to
dangerous road conditions caused by the recent bad weather. Find
the shortest route between each pair of towns:
a) Malvern and Pine Bluff
b) Camden and Pine Bluff
c) Benton and Arkadelphia
d) Fordyce and Malvern
e) Benton and Camden
Proof -
The figure is as follows :
a)
Shortest route between Malvern and Pine Bluff :
Firstly, put all the vertices to ∞
Start from Malvern ,
Check the shortest distance from the corresponding vertices of Malvern.
Shortest Distance = min { Malvern - Benton, Malvern -Sheridan }
= min { 23, 28 } = 23
⇒Shortest distance is 23 ( Malvern -Benton )
Now,
Check shortest distance from Benton and Malvern
Shortest Distance = min { Benton - Pine Bluff, Malvern -Sheridan }
= min { 62, 28 } = 28
⇒Shortest distance is 28 ( Malvern -Sheridan )
Now,
Check shortest distance from Benton and Sheridan
Shortest Distance = min { Benton - Pine Bluff, Sheridan - Pine-Bluff}
= min { 85, 50 } = 50
⇒Shortest distance is 50 ( Sheridan - Pine-Bluff )
So,
By back tracking , we get
Shortest Route be -
Malvern - Sheridan - Pine Bluff
And the Shortest distance be = 50 miles
b)
Shortest Route between Camden and Pine Bluff
From Camden -
Shortest Distance = min {Camden-Fordyce, Camden-Gurden }
= min { 27, 38 } = 27
⇒Shortest Distance = 27 (Camden-Fordyce )
Now,
Check Shortest distance from Camden and Fordyce
Shortest Distance = min { Camden-Gurden, Fordyce-Pine Bluff }
= min { 38, 72 } = 38
⇒Shortest Distance = 38 ( Camden-Gurden )
Now,
Check Shortest Distance from Gurden and Fordyce
Shortest Distance = min { Gurden-Arkadepia, Fordyce-Pine Bluff }
= min { 50, 72 } = 50
⇒Shortest Distance = 50 ( Gurden-Arkadepia )
Now,
Check Shortest Distance from Arkadepia and Fordyce
Shortest Distance = min { Arkadepia - Sharidan, Fordyce-Pine Bluff }
= min { 71, 72 } = 71
⇒Shortest Distance = 71 ( Arkadepia - Sharidan )
Now,
Check Shortest Distance from Sharidan and Fordyce
Shortest Distance = min { Sharidan - Pine Bluff , Fordyce-Pine Bluff }
= min { 93, 72 } = 72
⇒Shortest Distance = 72 ( Fordyce-Pine Bluff )
So, By Back tracking , we get
Shortest route be
Camden - Fordyce - Pine Bluff
Shortest Distance be 72 miles
c)
Shortest route between Benton and Arkadelphia
By applying the same method ,
If we start from Benton and by using Pine bluff lane, distance be 62 + 45 + 27 + 38 + 12 = 184 miles
And
If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 = 72 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia
Shortest distance be 72 miles
d)
Shortest route between Fordyce and Malvern
By applying the same method ,
If we start from Malvern and by using Benton lane, distance be 23 + 62 + 45 = 130 miles
And
If we start from Malvern and by using Sharidan lane, distance be 28 + 21 + 12 + 38 + 27 = 126 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce
Shortest distance be 126 miles
e)
Shortest route between Benton and Camden
By applying the same method ,
If we start from Benton and by using Pine Bluff lane, distance be 62 + 45 + 27 = 134 miles
And
If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 + 12 + 38 = 122 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden
Shortest distance be 122 miles
Please help I’m struggling
Can someone help?
Solve the following equation for all values of x. Be sure to check for extraneous roots.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, let's multiply both sides by [tex]\sqrt{x+11}[/tex]. If we do this, we would have:
[tex]x-1=\frac{1}{\sqrt{x+11}}\cdot\sqrt{x+11}[/tex]
The [tex]\sqrt{x+11}[/tex] would cancel out and we would be left with:
[tex]x-1=1[/tex]
If we add 1 on both sides, we would get:
[tex]x=2[/tex]
Hope this helps!!!
Which is the same function as -5x -4=y?
1.f(x)=-5-4
2.f(-4)=-5x
3.f(-5x)=-4
4.f(x)=-5x-4
If ΔABC ≅ ΔDEF, find the measure of ∠B.
Answer:
I believe it is 67 degrees
Step-by-step explanation:
Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.
the figure repersents a water trough in the shape of a rectangular prism. the dimenions of a water trough are givin in feet.
Answer:
What do you need, volume?
Step-by-step explanation:
(2.5)×(4)×(7)=V
Please hurry! This is due soon.
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]
[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]
[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]
[tex]2x=e^7^y+\sqrt{3}[/tex]
[tex]e^7^y=2x-\sqrt{3}[/tex]
[tex]7y=ln(2x-\sqrt{3})[/tex]
[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
[tex]g(f(x))[/tex]
[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]
[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]
2s cancel.
[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]
The natural log and e cancel.
[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]
[tex]\sqrt{3}[/tex]s cancel.
[tex]\frac{7x}{7}[/tex]
7s cancel.
[tex]x[/tex]
Hope this helps!
What is the volume of the composite object below?
Answer:
216 cubic inches
Step-by-step explanation:
(9)(3)(3)=81
(3)(3)(9)=81
(3)(3)(6)=54
81+81+54=216
So, it's 216 cubic inches in volume.
Each side of a square courtyard is 17 yards long. It costs $28.73 per yard to replace the brick wall around the courtyard. How much would it cost to replace the brick wall?
Answer
1953. 64
Step-by-step explanation:
find the value of variable x.
Answer:
9.5
Step-by-step explanation:
[tex]\frac{x}{19} = sin 30^o\\\implies \frac{x}{19} = 0.5\\\implies x = 19 * 0.5\\\implies x = 9.5[/tex]
a) What is the mean?
b) What is the median?
c) What is the mode?
The blinker on Brendan's Bugatti blinks 12 times every 48 seconds. How many times will the blinker blink in 24 seconds? answer ASAP thanks you.
Answer:
6
Step-by-step explanation:
Solve x2 – 18 = 3x by using the Quadratic Formula.
Answer:
(x+3)(x-6)
Step-by-step explanation:
use photomath
increase £196 by 9%
old old working out need asap
Answer:
£213.64
Step-by-step explanation:
You do 196(0.09)
That's 17.64
The you add the two
196+17.64
The way I got 9 was from 9%.
To make it in decimal form you have to move the decimal over two places.
Hope this helps
ASAP THIS NEEDS TO BE DOEN IN MY LIVE CLASS CRIES
Answer:
2
Step-by-step explanation:
its hard to type
Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
To know more about graph here
https://brainly.com/question/17267403
#SPJ2
6+6+75millllllliioooon
Answer:
75,000,012
Step-by-step explanation:
enjoy, i guess
please help on both!! will give brainliest.
Answer:
6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x
Step-by-step explanation:
For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.
(there's an error in this question)
As for question 6,
a) with coordinate (x,y) = (-2,7)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(-2,7) ➡️ (x2,y2) then,
m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -7/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −7/2 (x-0)
If we simplify this, we simply get
y = −7/2 x ← This is our equation for coordinate (-2,7)
b) with coordinate (x,y) = (2,-1)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -1/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −1/2 (x-0)
If we simplify this, we simply get
y = −1/2 x ← This is our equation for coordinate (2,-1)
c) with coordinate (x,y) = (4,-5)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -5/4 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −5/4 (x-0)
If we simplify this, we simply get
y = −5/4 x ← This is our equation for coordinate (4,-5)
d) with coordinate (x,y) = (10,-17)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -17/10 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −17/10 (x-0)
If we simplify this, we simply get
y = −17/10 x ← This is our equation for coordinate (10,-17)
Question is in the picture!
Answer:
[tex]\displaystyle m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (80, 20)
Point (120, 30)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{30-20}{120-80}[/tex][Slope] Subtract: [tex]\displaystyle m=\frac{10}{40}[/tex][Slope] Simplify: [tex]\displaystyle m=\frac{1}{4}[/tex]please help i’ll give brainliest if you help thanks
Jake wants to find out what his customers think of his new recipe. which is the best group survey to find this information?
I will reward you handsomely with a reward of Brainliest and some points and a 5 star and thanks if you answer these all correctly
1. 810
2. 89%
3. 624
4. 100
5. 960
6. 165
Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction and 5 feet longer in the other direction. Write an expression that represents the two binomials you would multiply together to find the area of Talia's new bedroom.
2nd Part
If Talia's old bedroom measured 10 feet by 10 feet, how much larger or smaller will her new bedroom be?
Answer (x represents the first direction and the y represents the second direction):
(x - 3) × (y + 5)New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroomI hope this helps!
solve the inequality: PLS SHOW YOUR WORK PLEASE
-45 < 5(p-2)
Step-by-step explanation:
Given
-45 < 5(p-2)
Dividing both sides by 5
9 < p - 2
Adding two on both sides
9 + 2 < p - 2 + 2
11 < p
or
p > 11
Hope it will help :)❤
Please help me solve.
x^2-11x+19= -5
Answer:
x = 3 or x = 8
Step-by-step explanation:
Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.
4 - 2 = 2
If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.
4/6 - 2/6 = 0.33333333333
So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000
That's all I could come up with. Don't judge me
Guided Practice
The equation s = p – 0.15p represents the sale price s of an item with an original price p, after a 15% discount. A T-shirt costs $12. What is the sale price?
A.
$142.20
B.
$11.85
C.
$13.80
D.
$10.20
THE ANSWER IS NOT: B.
$11.85
Substitute for p and solve for s.
s==p−0.15p12−0.15(12)
Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 2.2 calls per minute What is the probability of receiving at least 2 calls during a one-minute interval? What is the probability that at most 2 minutes elapse between 1 call and the next
Answer:
The answer is "0.6227 and 0.5971".
Step-by-step explanation:
[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]
[tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]
[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]
[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]
[tex]=1-emp1-2|2.2\\\\=0.5971[/tex]
PLEADE HELP QUICK WILL MARK BRAINLIEST!!! ITS SIMPLFT IF UR GOOD AT THAT PLESEE HELP
Answer:
1) a8
2) 6^5
3) 7^2 b^8
4) 30k^6 h^8
5) y^9/3x^2
PLEASE HELP MEEE :((((((((
Given the polynomial 21x 4 + 3y - 6x 2 + 34
What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
What polynomial must be added to it to obtain a first degree polynomial?
Answer:
I don't know
Step-by-step explanation:
ok k ggceyubvsxhik n