Answer:
Step-by-step explanation:
I would have thought the answer would be whole numbers...
using top line....
5x-5y + 7x-15 = 180 (that is a line)
12x - 5y = 195
using bottom line
4x+ 4y +2x+ y = 180
6x + 5y =180
~~~~~~~~~~~~~~~~~~
12x - 5y = 195
6x + 5y =180
(fives cancel)
18x = 375
x = 20.83
y= 11
Answer:
x=125/6
y=11
Step-by-step explanation:
Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.
So we have the following two equations:
7x-15+5x-5y=180
4x+4y+2x+y=180
Let's simply(combine like terms):
12x-5y-15=180
6x+5y=180
Add 15 on both sides for first equation:
12x-5y=195
6x+5y=180
Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):
18x=375
Divide both sides by 18:
x=375/18
Simplify (reduce fraction):
x=375/18 ÷3/3=125/6
Now let's go back and find y using either equation:
6x+5y=180 with x=125/6
6(125/6)+5y=180
125+5y=180
5y=180-125
5y=55
y=11
x=125/6 and y=11
In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
We have,
a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:
P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))
Where:
P(t) = Pressure at time t
Pi = Initial reservoir pressure
Q = Flow rate
K = Permeability
h = Reservoir thickness
ϕ = Porosity
μ = Viscosity
Ct = Total compressibility
t = Shut-in time (12 hours)
Δt = Time since the start of the flow period
Bo = Oil formation volume factor
ΔP = Pressure drop during the flow period
Given:
Pi = 3100 psi
Q = 200 STB/day
K = 45 md
h = 60 ft
ϕ = 15%
μ = 1.2 cp
Ct = 15x10^-6 psi^-1
Bo = 1.3 bbl/STB
t = 12 hours
Δt = 48 hours
ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))
Substituting the given values into the equation:
ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))
After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.
b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.
It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.
The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.
Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.
It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.
Thus,
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
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A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
The solution to the system of equation is x < 44/3
Expansion of inequality expressionsInequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b
Given the inequality expression below;
x + 2x + 6 < 50
Simplify to have:
3x + 6 < 50
Subtract 6 from both sides
3x + 6 - 6 < 50 - 6
3x < 50 - 6
3x < 44
Divide both sides by 3
3x/3 < 44/3
x < 44/3
Hence the solution to the system of equation is x < 44/3
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Find the distance and midpoint for the points (5,5) and (1,2).
The distance is
The midpoint is
)
Answer:
midpoint = (3,3.5)
distance = 5
Step-by-step explanation:
midpoint = (x1+X2/2, y2+y2/2)
=(5+1/2, 5+2/2)
=(6/2, 7/2)
=(3, 3.5)
distance= √(x2-x1)^2 -(y2-y1)^2
=√(1-5)^2 -(2-5)^2
= √ 16+9 =√25 =5
5x - y = -7
X + y = -5
Answer:
x = -2
y = -3
Step-by-step explanation:
5x - y = -7
x + y = -5
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -5 + 2
y = -3
Answer:
(-2,-3)
Step-by-step explanation:
x + y = -5
y = -x - 5
5x - (-x - 5) = -7
5x + x + 5 = -7
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -3
Please show me how to solve/graph this Algebra 2 problem step by step, thank you!
Explanation:
Step 1. We have a piecewise function defined for certain x value intervals.
for x values between -4 and -1, the definition is:
\(f(x)=x+6,\text{ for }-4And for the x values between -1 and 5, the definition is:\(f(x)=-2x+7,\text{ for }-1Step 2. We need to graph the function, for that, we start with the definition for x values between -4 and -1\(\begin{equation*} f(x)=x+6 \end{equation*}\)To graph this, we compare it with the general line function
\(f(x)=mx+b\)where m is the slope (the rate of change of the line) and b is the y-intercept. In this case, for f(x)=x+6, the slope is m=1, and the y-intercept is 6, if we were to graph this line in the whole plane, it would look as follows:
But since this is just the definition of the function for the values between -4 and -1, the result is:
Step 3. Now we consider the second definition of the function:
\(\begin{equation*} f(x)=-2x+7 \end{equation*}\)Comparing it with the general line function
\(f(x)=mx+b\)where m is the slope (the rate of change of the line) and b is the y-intercept.
Here in f(x)=-2x+7, the slope is m=-2, and the y-intercept is b=7, which means that the line is decreasing at a rate of -2, and that it crosses the y-axis at 7.
If we were to graph this line in the whole plane, it will look as follows (in blue):
But since that is the definition of the function only for the interval from -1 to 5, we only consider the line for that specific x-interval, we represent the point at -1 with an open circle and at 5 with a filled circle to represent that 5 is included in the segment:
Answer:
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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ifferentiate the following functions:
(a) f(x)=6x3+2x2−x+12 (4 Pts) (b) f(x)=4x (4 Pts) (c) f(x)=e−x(x−2) (4 Pts)
(d) f(x)4x3/(2x2−x) (4 Pts)
(e) f(x)=ln(x−3) (4 Pts)
Answer. I think is A
Step-by-step explanation:
Volume of Cylinders and Prisms
Formula for finding cylinder:
π • r
This will find the area of the Base (B)
Then you multiply by the height given.
V= π• r • h
Just plug in the numbers
Formula for a rectangular prism:
Find the length • width
This is the area or base area (B)
Then multiply by the h
V= l•w•h
Hope this helps
PLEASE HELP IF POSSIBLE :)
Answer:
158 square feet
Step-by-step explanation:
2(lb+bh+lh)
2(40+24+15)
80+ 48+30
158
What is the remainder when 12 345 x 54 321 is divided by 9?
1
2
3
area of photograph 875cm2 and area of puzzle 2385cm2 length 35 workout the length
Answer:
https://sooddan.zendesk.com
How many possible real solutions are there?
The number of real solution varies according to the degree of the equation and the nature of the equation, The answer is dependent on degree and nature.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
example:
A linear equation (degree 1) has one real solution.
A quadratic equation (degree 2) can have either two real solutions, one real solution or no real solutions, as it depends on the discriminant of the equation, as I explained in my previous answer.
A cubic equation (degree 3) can have one to three real solutions, depending on the coefficients of the equation.
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3+4=4+3 true or false
Answer:
True
Step-by-step explanation:
\(3+4=7\)
\(4+3=7\)
Write an exponential function in the form y = abthat goes through points (0, 20)
and (2,180).
Answer:
y=20(6)^x
Step-by-step explanation:
the graph passes through the point (0,20) : when x=0 and y=20 :
20= ab^0 so a=20 because : b^0 = 1
the graph passes through the point (3,4320) : when x=3. and y=4320 : 4320= ab^3 but : a=20 so : 4320 = 20b^3
so : b^3 = 4320/20 = 216...... 216 = 6^3
b^3 = 6^3
b=6
the function is : y=20(6)^x
The sum of 2 numbers is 36. Their difference is 24. Find the numbers.
Answer:
So the answer is 6 and 30.
Answer: 30 and 6
Step-by-step explanation:
In the following set of numbers (18, 26, 29, 18, 44) what is the median?
A) 26
B) 27
C) 18
D) 24
The median of the following set of numbers (18, 26, 29, 18, 44) is 26. The correct option to this question is option A
To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order
18 , 18 , 26 , 29 , 44 . . . . . . . . . .(1)
Since the number of terms is odd we will apply the formula
Median = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)
Here n = number of terms
As per question the n = 5
Therefore putting in equation 2 we get
Median = \(\frac{(5+1)}{2} th\) term
Median = \(\frac{6}{2} th \\\) term
Median = 3 term
Hence the third term from the sequence ( shown in 1 ) we get the median that is 26
Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .
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The median is:
26
Explanation:
First, we will arrange the numbers from least to greatest.
18, 26, 29, 18, 44
Rearrange
18, 18, 26, 29, 44.
Now, the median is the number in the middle, which is 26.
∴ Median = 26Due in 1 hour, plz help
Answer:
1. 12/1= rate of change
Step-by-step explanation:
1.
1 mile= 30 seconds
(1,30)
6 miles= 1 1/2 minutes
6 miles=90seconds
(6,90)
Formula: y2-y1/x2-x1
90-30/6-1
60/5
12/1= rate of change
hope its right
A group of friends wants to go to the amusement park. They have no more than $165
to spend on parking and admission. Parking is $5.25, and tickets cost $17.75 per
person, including tax. Write and solve an inequality which can be used to determine
X, the number of people who can go to the amusement park.
Inequality:
Answer:
17.75x + 5.25 \(\leq\) 165
x \(\leq\) 9
Step-by-step explanation:
The total cost can be represented by 17.75x + 5.25, where x is the number of people.
They can only spend a maximum of $165, so a less than or equal sign has to be used.
The inequality will be 17.75x + 5.25 \(\leq\) 165
Now, solve for x:
17.75x + 5.25 \(\leq\) 165
17.75x \(\leq\) 159.75
x \(\leq\) 9
So, x \(\leq\) 9 is the answer, meaning 9 people or less can go to the amusement park.
The CitruSun Corporation ships frozen orange juice concentrate from processing plants in Eustis and Clermont to distributors in Miami, Orlando, and Tallahassee. Each plant can produce 20 tons of concentrate each week. The company has just received orders of 10 tons from Miami for the coming week, 15 tons for Orlando, and 10 tons for Tallahassee. The cost per ton for supplying each of the distributors from each of the processing plants is shown in the following table.
Miami
Orlando
Tallahassee
Eustis
$260
$220
$290
Clermont
$230
$240
$310
The company wants to determine the least costly plan for filling their orders for the coming week.
a. Formulate an LP model for this problem.
b. Implement the model in a spreadsheet and solve it.
c. What is the optimal solution?
d. Is the optimal solution degenerate?
e. Is the optimal solution unique? If not, identify an alternate optimal solution for the problem.
f. How would the solution change if the plant in Clermont is forced to shut down for one day resulting in a loss of four tons of production capacity?
g. What would the optimal objective function value be if the processing capacity in Eustis was reduced by five tons?
h. Interpret the reduced cost for shipping from Eustis to Miami.
Solving the LP model with this new constraint gives the optimal solution:
x_Eustis_Miami = 10
x_Eustis_Orlando = 5
x_Eustis_Tallahassee = 0
x_Clermont_Miami = 0
What is fraction?A fraction represents a part of a whole or a ratio of two quantities. It is a way of expressing a quantity that is not a whole number, but rather a part of a whole. Fractions consist of a numerator and a denominator separated by a horizontal line, where the numerator represents the part of the whole and the denominator represents the total number of equal parts that make up the whole. For example, the fraction 3/4 represents three parts out of four equal parts, or three-quarters of the whole. Fractions can be used to represent values between 0 and 1, and can be converted to decimals or percentages for easier comparison and calculation.
Here,
a. LP Model:
Let x_ij be the number of tons of concentrate shipped from plant i (i = Eustis, Clermont) to distributor j (j = Miami, Orlando, Tallahassee).
The objective is to minimize the total cost of shipping, which is given by:
Minimize: Z = 260x_Eustis_Miami + 220x_Eustis_Orlando + 290x_Eustis_Tallahassee
+ 230x_Clermont_Miami + 240x_Clermont_Orlando + 310x_Clermont_Tallahassee
Subject to:
Production capacity constraint at Eustis: x_Eustis_Miami + x_Eustis_Orlando + x_Eustis_Tallahassee ≤ 20
Production capacity constraint at Clermont: x_Clermont_Miami + x_Clermont_Orlando + x_Clermont_Tallahassee ≤ 20
Demand constraint for Miami: x_Eustis_Miami + x_Clermont_Miami = 10
Demand constraint for Orlando: x_Eustis_Orlando + x_Clermont_Orlando = 15
Demand constraint for Tallahassee: x_Eustis_Tallahassee + x_Clermont_Tallahassee = 10
Non-negativity constraints: x_ij ≥ 0 for all i,j.
b. Spreadsheet Solution:
Using the Solver add-in in Excel, we can input the LP model and solve for the optimal solution. Here's a screenshot of the spreadsheet solution:
c. Optimal Solution:
The optimal solution is:
x_Eustis_Miami = 10
x_Eustis_Orlando = 5
x_Eustis_Tallahassee = 5
x_Clermont_Miami = 0
x_Clermont_Orlando = 10
x_Clermont_Tallahassee = 5
The total cost of shipping is $6,550.
d. Degeneracy:
No, the optimal solution is not degenerate. All the constraints are binding.
e. Alternate Optimal Solution:
There is no alternate optimal solution as the LP model has a unique optimal solution.
f. Clermont Plant Shutdown:
If the plant in Clermont is forced to shut down for one day resulting in a loss of four tons of production capacity, the production capacity constraint for Clermont will be changed to:
x_Clermont_Miami + x_Clermont_Orlando + x_Clermont_Tallahassee ≤ 16
Solving the LP model with this new constraint gives the optimal solution:
x_Eustis_Miami = 10
x_Eustis_Orlando = 5
x_Eustis_Tallahassee = 5
x_Clermont_Miami = 0
x_Clermont_Orlando = 10
x_Clermont_Tallahassee = 0
The total cost of shipping is $6,600.
g. Eustis Plant Capacity Reduction:
If the processing capacity in Eustis was reduced by five tons, the production capacity constraint for Eustis will be changed to:
x_Eustis_Miami + x_Eustis_Orlando + x_Eustis_Tallahassee ≤ 15
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the first 5 terms are -16,-7,2,11,20 what is the eighth number in this sequence
Answer:
29
Step-by-step explanation:
to get from -16 to -7 you have to add 9
to get from -7 to 2 you have to add 9
to get from 2 to 11 you have to add 9
and the same thing for 11 to 20
Answer: The answer
is 29 because the pattern of the number is 999999
Step-by-step explanation:
An airplane has a bearing of 30°. Find the velocity of the airplane in component form if it is traveling at 625 mph.Select one:a.<625sin60°, 625cos60°>b.<625cos30°, 625sin30°>c.<625cos60°, 625sin60°>d.<625sin30°, 625cos30°>
SOLUTION:
From the diagram, we can see that velocity in component form is;
\(\langle625cos30,625sin30\rangle\)ealth insurers are beginning to offer telemedicine services online that replace the common office visit. wellpoint provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. wellpoint claims that users of its livehealth online service saved a significant amount of money on a typical visit. the data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by wellpoint. click on the datafile logo to reference the data. 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82 assuming that the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit. if required, round your answers to two
The 95% confidence interval would be given by (60.554;81.446)
What is a confidence interval?
A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population means that sits between an upper and lower interval is frequently stated as a percentage.
Here, we have
Given Data: 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82
We can calculate the mean and the deviation from these data with the following formulas:
X = ∑ᵃ 1ⁿxₐn
s = √∑ᵃ = 1ⁿ(xₐ - X)²n -1
X = 71 represents the sample mean for the sample
s=22.35 represent the sample standard deviation
n=20 represents the sample size
The confidence interval for the mean is given by the following formula:
X ± tα/2 - √n...(1)
In order to calculate the critical value tα/2 we need to find first the degrees of freedom, given by:
df = n - 1 = 20 -1 = 19
Since the Confidence is 0.95 or 95%, the value of α = 0.05 and α/2 = 0.025
and we can use excel, a calculator, or a table to find the critical value. The excel command would be:
tα/2 = 2.09
Now we have everything in order to replace into formula (1):
71 - 2.09- 2.35√20 = 60.554
71 + 2.09- 2.35√20 = 81.446
Hence, the 95% confidence interval would be given by (60.554;81.446).
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Evaluate 5(x-1)-2 when x=3
Answer:
8
Step-by-step explanation:
5(x-1)-2
Put x as 3 and evaluate.
5(3-1)-2
5(2)-2
10-2
= 8
Answer:
8solution,
X=3
\(5(x - 1) - 2 \\ putting \: the \: value \: of \: x \\ = 5(3 - 1) - 2 \\ = 5 \times 2 - 2 \\ = 10 - 2 \\ = 8\)
Please Help!
What is the perimeter of a polygon with vertices at
(-3, 1), (5, 1), (-3, 4), (5, 4)?
If possible provide step-by-step information
Answer:
22
Step-by-step explanation:
Its a rectangle with side lengths 3 and 8 so 3+8+3+8=22
how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other
There are therefore 609638400 different ways to arrange eight men and five women in a line so that no two women are positioned adjacent to one another.
What is fundamental counting principle?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. It states that there are n*m ways to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that.
Here,
Number of ways men can stand,
=8!
=40320 ways
Number of ways women are standing,
=9P5
As shown in the image,
=15120 ways
For arranging both of them,
=40320*15120
=609638400 ways
So there is 609638400 ways of arranging eight men and five women to stand in a line so that no two women stand right next to each other.
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Point B, located at (-5, -8), is translated 4 units down. What are the coordinates of point B'?
(-1, -8)
(-5, -4)
(-9, -8)
(-5, -12)
Answer:
-1-8
Step-by-step explanation:
sky can run 3 miles per hour faster than her sister rose can walk. If Sky ran 12 miles in the same time it took Rose to walk 8 miles, what is the speed of each sister in this case?
Sky can run 3 miles per hour faster than her sister rose can walk. If Sky ran 12 miles in the same time it took Rose to walk 8 miles, the speed of each sister in this case is 6 miles per hour for Rose and 9 miles per hour for Sky.
To find the speed of each sister, we can use the formula distance = speed × time. We can set up a system of equations to solve for the speeds of Sky and Rose. Let s be the speed of Sky and r be the speed of Rose. Then we have:
12 = s × t (equation 1)
8 = r × t (equation 2)
We are also told that Sky can run 3 miles per hour faster than Rose, so we can write:
s = r + 3 (equation 3)
Now we can substitute equation 3 into equation 1 and solve for t:
12 = (r + 3) × t
t = 12 / (r + 3)
Next, we can substitute this value of t into equation 2 and solve for r:
8 = r × (12 / (r + 3))
8(r + 3) = 12r
8r + 24 = 12r
24 = 4r
r = 6
So the speed of Rose is 6 miles per hour. We can use equation 3 to find the speed of Sky:
s = 6 + 3
s = 9
So the speed of Sky is 9 miles per hour. Therefore, the speed of each sister in this case is 6 miles per hour for Rose and 9 miles per hour for Sky.
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The speed of each sister is as follows: Rose's speed is 6 miles per hour, and Sky's speed is 9 miles per hour.
Let's begin by defining some variables: let x be Rose's walking speed, and x + 3 be Sky's running speed. Since we know that Sky ran 12 miles and Rose walked 8 miles in the same amount of time, we can write an equation to represent this:
12 / (x + 3) = 8 / x
Cross-multiplying and simplifying gives us:
12x = 8x + 24
4x = 24
x = 6
So Rose's walking speed is 6 miles per hour, and Sky's running speed is 6 + 3 = 9 miles per hour.
Therefore, the speed of each sister is as follows: Rose's speed is 6 miles per hour, and Sky's speed is 9 miles per hour.
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Which congruence postulate could prove TriangleAEM = TriangleDEN
Triangle AEM is congruent to triangle DEN by SAS congruence criterion.
What do you mean by congruence of triangle?
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. If moved, they coincide with one other. The sign of congruence is’ ≅’. After proving triangles congruent, the remaining dimension can be predicted without actually measuring the sides and angles of a triangle.
In triangle AEM and triangle DEN
AE = DE (Given)
ME = NE (As In triangle MEN , angle M = angle N and sides opposite to equal angles are equal)
angle MEA = angle NED (Vertically opposite angles)
Triangle AEM ≅ Triangle DEN (By SAS congruence criterion)
Therefore, both the trinagles are congruent by SAS congruence criterion.
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A main task for members during the final session is to put into words what has transpired from __________.
The main task for members during the final session is to put into words what has transpired from the first to the final session.
What happens in the first session of group therapy?The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.
What is the first therapy session called?Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.
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A child is picking 3 days of the 7 days of the week to have Jello for lunch. What is the size of the sample space in this experiment?