There are 7 train stations. One way ticket indicates a departing station and an arriving station. Total 42 tickets are needed.
There are 7 train stations.
One way ticket indicates a departing station and an arriving station.
We have to determine how many tickets are needed.
A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here.
In permutation, the elements must be arranged in a specific order, whereas in combination, the order of the elements is irrelevant.
Generally A permutation is the configuration of objects in a specific manner or order. When dealing with permutation, one should consider both selection and arrangement.
From the question;
n = 7
r = 2
\(^{n}P_{r}=\frac{n!}{(n-r)!}\)
\(^{7}P_{2}=\frac{7!}{(7-2)!}\)
\(^{7}P_{2}\) = 7!/5!
\(^{7}P_{2}\) = (7 × 6 × 5!)/5!
\(^{7}P_{2}\) = 7 × 6
\(^{7}P_{2}\) = 42
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If a square has an area of 94 square units. How big is its side length?
The requried side length of the square is approximately 9.695 units.
To find the side length of a square with an area of 94 square units, we need to take the square root of the area.
a² = 94
a = √94
a ≈ 9.695
Therefore, the side length of the square is approximately 9.695 units.
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The idea that group work theories are appropriate for all clients all the time is a(n)? empirical truth professional tenet myth lie
The idea that group work theories are appropriate for all clients all the time is a myth (Third option).
About Group Process:
The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.
Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.
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Find the volume of the rectangular prism
Answer:
V = 882 ft^3
Step-by-step explanation:
To find the volume of the rectangular prism, multiply the area of the base by the height.
V = Bh where B is the area of the base and h is the height.
V = 63*14
V = 882 ft^3
when measuring for average, where should 17.3167 be rounded from?
It depends on the number of decimal points of the values from which we get the average.
Normally it must be rounded to the nearest tenth, 17.3
How to solve this equation
Answer:
\(y = \frac{Pa}{b} - za\)
Step-by-step explanation:
See picture below :)
Two countries are identical except that the representative agent of country A has a larger subjective discount factor (0) than the representative agent of country B. The C-CAPM with power utility and lognormal consumption growth predicts that we will observe that country A's representative agent consumes ______ the current period and that the price of an
identical financial asset is ______ than country A
the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.
The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.
Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.
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-7u^2+12u+4 factor the following expression
-( ( 7 - u )( u - 2 ) ) is the factorized form of the polynomial -7u² + 12u + 4, using the AC method.
How to factor a polynomial?Given the polynomial in the question;
-7u² + 12u + 4
Factor out -1 out of the polynomial
-1( 7u² - 12u - 4 )
Compare to the form ax² + bx + c
a = 7b = -12 c = -4To factor, compare to the form ax² + bx + c and rewrite the middle term as a sum of two terms whose product is;
a × c = 7 × -4 = -28
and whose sum is;
b = -12
Now, factor -12 out of -12x
-1( 7u² - 12(u) - 4 )
We know that -13 is the same as 2 plus -14
-1( 7u² - ( 2 - 14 )u - 4 )
Apply distributive property
-1( 7u² - 2u - 14u - 4 )
Group the terms
-1( u(7u - 2) - 2(7u - 2 ) )
-1( (7-u)(u-2) )
-( (7-u)(u-2) )
Therefore, the factorized form of the polynomial is -( ( 7 - u )( u - 2 ) ).
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-(7u+2)(u-2) is the factorized form of expression -7u²+12u+4.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -7u²+12u+4.
We need to find the factors of this expression.
-7u²+12u+4.
This can be written as
-7u^2+14u-2u+4.
Take 7u from first two terms and 2 from last two terms in the expression.
-7u(u-2)-2(u-2)
(-7u-2)(u-2)
-(7u+2)(u-2)
Hence -(7u+2)(u-2) is the factorized form of -7u^2+12u+4.
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Linda evaluates the expression 7+5x for x=3 and x+4/5. When x=3, she gets 7+5x=7+5 times 3 =12 times 3 =36. When x=4/5, she gets 7+5x=7+5 times 4/5=12 times 4/5=48/5. What does linda do wrong?Explain
the first expression
\(7+5x\)x=3
\(7+5(3)=7+15=22\)she was wrong because she first sum 7+5 and she doesn't respect that first we always solve the brackets and then the other operations
and for x=4/5
\(7+5(\frac{4}{5})=7+4=11\)the same mistake she doesn't respect that first we always solve the operations with brackets and then the other operations
Solve for t in terms of u, v, and w.
u=t+v+w
t equals u minus v minus w (t = u - v - w.). The equation can be used to calculate t given values of u, v, and w.
The equation u = t + v + w expresses a relationship between u, t, v, and w. To solve for t in terms of u, v, and w, we need to isolate t on one side of the equation. We can do this by subtracting v and w from both sides of the equation, which gives us u - v - w = t. Therefore, t is equal to u minus v minus w. This means that if we know the values of u, v, and w, we can calculate the value of t using this equation.
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|2x-8| + 3 = 5 two solutions
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
Please helppp, I forgot how to do this
Answer:
Your answer is correct, (-6, -4, 0, 2, 6).
Explanation:
Take the equation 3/2x+8
Then take each number and plug it in for "x".
For example:
3/2(6) + 8 = -1
or you can change the fraction into a decimal to make it easier...
1.5(6)+8=-1
Order these numbers from least to greatest.
2.1072, 2.37, 2.1, 2.307
1. A dime is tossed 3 times. Draw a tree diagram to show
all possible outcomes. Then write out the sample space.
Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
How to solveTo illustrate all possible outcomes of tossing a dime 3 times, we can create a tree diagram. We'll represent a Head as "H" and a Tail as "T".
Here's the tree diagram:
H
/ \
H T
/ \ / \
H T H T
T
/ \
H T
/ \ / \
H T H T
Using the tree diagram, we can write out the sample space as a set of all possible outcomes:
Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
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The function h(x) shown is the result of combining two functions, f(x) and g(x), by addition. Which statement could be true of the two functions? The domains of both f(x) and g(x) must be (–[infinity], [infinity]). The domains of both f(x) and g(x) must be (0,[infinity]). The domain of f(x) is (–[infinity], 0), while the domain of g(x) is (0, [infinity]). The domain of f(x) is (–[infinity], 0], while the domain of g(x) is [0, [infinity]).
Answer: The domains of both f(x) and g(x) must be (–∞, ∞). your welcome
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
Determine whether x or y show direct variation. If so, identity the constant of variation. y=3x+2
Help please due now
Answer:
hii here is your answer
If the area to the left of x in a normal distribution is 0.771, what is the area to the right of x ?
The area to the right of x in the normal distribution is 0.229, or 22.9% when expressed as a percentage. This means that the probability of observing a value greater than x is 0.229.
In a normal distribution, the total area under the curve represents the probability of all possible outcomes occurring, and it is equal to 1. When we refer to the area to the left or right of a specific value, we are essentially calculating the cumulative probability up to that value.
Given that the area to the left of a certain value, x, is 0.771, we want to determine the area to the right of x. This can be done by subtracting the area to the left of x from 1.
To explain this further, let's consider the standard normal distribution, which has a mean of 0 and a standard deviation of 1. The cumulative distribution function (CDF) of the standard normal distribution gives us the probability of observing a value less than or equal to a given value.
In this case, the area to the left of x represents the cumulative probability up to x. So, if the area to the left of x is 0.771, it means that the probability of observing a value less than or equal to x is 0.771.
Now, to find the area to the right of x, we can subtract the area to the left from 1. This is because the total area under the curve is equal to 1, so the remaining area to the right of x can be calculated by taking the complement of the area to the left.
Area to the right of x = 1 - Area to the left of x
Area to the right of x = 1 - 0.771
Area to the right of x = 0.229
Therefore, the area to the right of x in the normal distribution is 0.229, or 22.9% when expressed as a percentage. This means that the probability of observing a value greater than x is 0.229.
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Best answer gets brainliest hurry ASAP
Answer:x=18
Step-by-step explanation:
x=\frac{36}{2}
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please
Answer:
its a! sorry im so late
Step-by-step explanation:
PLEASE HURRY
Which of the following is a cost homeowners insurance does not protect?
a.
The cost of repair or replacement of a home lost in a natural disaster.
b.
Additional living expenses required while your home is repaired after a disaster.
c.
Replacement costs for all contents in your home, including high cost electronics.
d.
The cost of medical expenses incurred by somebody getting injured on your property.
Answer:c
Step-by-step explanation:
(1 point) a standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. how many cards in the deck are either a jack or a heart?
The probability that the card is either a jack or a heart is 17/52.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
A deck of cards contain 4 jacks, and 13 heart cards.
The probability the card is a jack = 4 / 52
The probability the card is a heart = 13/52
The probability that the card is either a jack or a heart is:
P = 4/52 + 13/52
P = 17/52
Hence, the probability that the card is either a jack or a heart is 17/52.
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HURRY ANSWER NOW PLS
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
A. A picnic table is on sale for 60 percent off. The sale price of the picnic table is x, $144.10.
B. A picnic table is on sale for 40 percent off. The sale price of the picnic table is x, $144.10
C. A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.
D. A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10
Using proportions, the scenario modeled by the equation 0.6x = 86.46 is:
D. A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When a product is 40% off, 100 - 40 = 60% of the original price x is paid, hence the expression for the price is:
0.6x.
In this problem, the expression is:
0.6x = 86.46
x = 86.46/0.6
x = 144.1.
Hence option D is correct.
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a pebble is dropped into a lake and an expanding circular ripple results. when the radius of the ripple is 8 inches, the radius is increasing at a rate of 3 inches per second. at what rate is the area of the ripple changing at this instant?
When a peddle dropping into Lake Then a circular ripple results. The rate at which the area of the ripple changing at this instant is 48π inches per second.
The rate-related word problem can be solved by creating an equation that relates her two parameters of the system. Using this equation, we can find its derivative and determine the rate of change of the parameter. Let us consider
'r' is the radius of the circle, r = 8 inches
The area of a circle with radius r is
A = πr² ---(1)
Rate of increase radius (dr /dt )
= 3 inches/sec .
Now we know that the area increases as the radius increases. The rate of increase in area can be expressed as the rate of increase in radius by differentiating the area equation with respect to time. Therefore, differentiating area with respect to time gives,
dA/dt = 2πr dr/dt
We can substitute these known values into the derivation of the area equation to get, dA/dt = 2π(8)3
=> dA/dt = 48π
Therefore, the ripple area increases at a rate of 48π inches per second.
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For the function f(2)-2+2, x > 03x + 2, 3 < 0what is the average rate of change over the interval 1 sxs 3?average rate of change = 1
average rate of change = -1
Explanation:Average rate of change formula:
\(\frac{f(b)\text{ - f(a)}}{b-a}=\frac{f(3)-f(1)}{3-1}\)The range is from 1 to 3.
b= 3, a = 1
From the given function, x is greater than 1 when f(x) = -x + 2
when x = 3
f(3) = -3 + 2 = -1
when x = 1
f(1) = -1 + 2 = 1
\(\begin{gathered} \text{Average rate of change = }\frac{-1\text{ -1}}{3-1}=\frac{-2}{2} \\ \text{Average rate of change =}-1 \end{gathered}\)
A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and 6 packs of fruit rolls
for a total of 152 snacks. The next week, they purchase 7 packs of granola bars and 12 packs of fruit rolls for a total of 200 snacks.
How many snacks are in one pack of granola bars and one pack of fruit rolls?
Answer:
There are 8 granola bars in a pack and 12 fruit rolls in a pack.
Step-by-step explanation:
10x+6y=152
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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im toooo bad at math plz help
Answer:
-20/27
Step-by-step explanation:
\( - \frac{8}{9} \times \frac{5}{6} \\ = - \frac{4}{9} \times \frac{5}{3} \\ = - \frac{20}{27} \)
To multiply fractions, we must multiply the numerator times the numerator and the denominator times the denominator
-8/9*5/6
\(\frac{-8*5}{9*6} =\frac{-40}{54} Reduce:-\frac{-20}{27} \\******************************************************\\BRAINLIEST\\PLEASE\\I WOULD \\APPRECIATE IT :-)\)
Any ideas on how to answer this for math?
You have learned what tangent lines are. You have learned that they are perpendicular to the radius at a point on the circle. What is unique about a tangent line is that it touches the circle at exactly one point, but never goes inside the circle. But points are infinitely small … how can a line touch a circle without ever going into it?
Answer:
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
Step-by-step explanation:
smarts.
hope this helps :))