Answer:
\(f^{-1}(x) = -\frac{x}{2} +2\)
Step-by-step explanation:
Consider the real number y such that f ⁻¹(x) = y
\(f^{-1}\left( x\right) =y\Longleftrightarrow f\left( y\right) =x\)
We need to find y in order to determine the expression of f ⁻¹(x)
f(y) = x ⇔ -2y + 4 = x
⇔ 4 - x = 2y
⇔ y = (4 - x)/2
\(\Longleftrightarrow y=-\frac{x}{2} +2\)
PLS helppppppppppppp
Answer:
y=-5, x=-1
Step-by-step explanation:
y=5x
/5 /5
y/5=x
y=9(y/5)+4
y=-5
-5=5x
/5 /5
-1=x
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
Convert y - 8 = 3(x + 8) to slope-intercept form.
Answer:
y - 8= 3(x+8) in slope intercept form is y = 3x + 32
Answer:
y= 3x-16
Step-by-step explanation:
when do we need to use an initial probability matrix and multiply it by the transition matrix, versus when can we just multiply the transition matrix to find a certain probability
In some cases, when analyzing probabilistic systems, we need to use an initial probability matrix and multiply it by the transition matrix, while in other cases, we can simply multiply the transition matrix to find a certain probability.
When using an initial probability matrix, it is typically because we want to determine the probability distribution of a system at its initial state. This initial probability matrix represents the likelihood of the system being in each possible state at the beginning. By multiplying the initial probability matrix by the transition matrix, which represents the probabilities of transitioning between states, we can calculate the probability distribution of the system at subsequent time steps.
On the other hand, there are situations where we are interested in finding the probability of a specific event occurring after a certain number of transitions. In such cases, if the initial probability distribution is not relevant or already known, we can directly multiply the transition matrix by itself multiple times. Each multiplication represents a transition, and the resulting matrix gives us the probabilities of reaching different states after a specific number of transitions.
In summary, using an initial probability matrix multiplied by the transition matrix helps us determine the probability distribution of a system at its initial state and subsequent time steps. On the other hand, if we are specifically interested in the probability of a certain event after a certain number of transitions, we can directly multiply the transition matrix by itself without considering the initial probabilities. The choice between these approaches depends on the specific context and the information we seek to obtain.
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What is the area of the shaded portion of the trapezoid in the figure, in terms of? The figure is not drawn to scale. All of the given measurements are in feet.
Answer:
(150-36π) ft^2
Step-by-step explanation:
we need to subtract the area of the circle from the area of the trapezoid to find the area of the shaded region.
area of circle=πr^2=π6^2=36π ft^2
area of trapezoid=(1/2)(a+b)h=(1/2)(12+13)12=150 ft^2
so, the area of trapezoid-area of circle=(150-36π) ft^2
Help me show your work
The value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The value of x that will satisfy this condition can be found by simplifying the given inequality. Therefore, The given inequality can be simplified as,
4x + 1 - 1 ≥ -8
4x ≥ -8
x ≥ -2
Hence, the value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
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a4 is disqualified after receiving his/her fifth foul. the coach of team a does not have a substitute ready to enter the game after the permitted 15 seconds. what is the penalty?
If Team A's player A4 is disqualified after receiving their fifth foul and the coach does not have a substitute ready within the permitted 15 seconds, the penalty is a technical foul.
In basketball, when a player accumulates five fouls during a game, they are disqualified and must leave the game. However, the coach has the option to substitute another player into the game to replace the disqualified player.If the coach fails to have a substitute ready within the permitted 15 seconds, it results in a technical foul. A technical foul is a penalty in basketball that is assessed against the team, not a specific player. It typically results in free throws being awarded to the opposing team and possible other consequences such as possession of the ball.
The technical foul is a consequence of the coach's failure to have a substitute ready within the designated time, which is considered a violation of the rules. The penalty serves as a deterrent and ensures that teams adhere to the rules and maintain fair play during the game.
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What is the value of 1/6^0
Answer:
1
Step-by-step explanation:
Anything to the power of 0 will equal 1.
For example 1^0=1
300^0=1
and so on........
so 1/6 ^0 = 1
Answer:
1
Step-by-step explanation:
If you mean (1/6)^0, it's 1
If you mean 1/(6^0), it's also 1.
Menu Multiplying with Fractions Which problems can be solved by performing this multiplication? 3 x 18. select at least 2
Answer:
I believe it is A and B
Step-by-step explanation:
VOn a coordinate plane, 4 lines are shown. Line A B has points (negative 3, 2) and (3, 0). E F has points (0, negative 3) and (2, 3). Line J K has points (negative 3, negative 4) and (3, negative 2). Line M N has points (negative 1, 4) and (2, negative 5).
Which line is perpendicular to a line that has a slope
of Negative one-third?
line MN
line AB
line EF
line JK
Answer:
line EF
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. Their product is -1. The given line has slope -1/3, so the line we are looking for has slope 3.
Slope AB (-3, 2), (3, 0)
m = (2 - 0)/(-3 - 3) = 2/(-6) = -1/3
Slope EF (0, -3), (2, 3)
m = (-3 - 3)/(0 - 2) = -6/(-2) = 3
Slope JK (-3, -4), (3, -2)
m = (-4 - (-2))/(-3 - 3) = -2/(-6) = 1/3
Slope MN (-1, 4), (2, -5)
m = (-5 - 4)/(2 - (-1)) = -9/3 = -3
The only line with slope = 3 is line EF.
Answer: line EF
Need help people pls
How do you write an inequality step by step?
An inequality in mathematics shows how two values are related in an imbalanced algebraic expression.
What is meant by inequality?In mathematics, an inequality displays the connection between two values in an unbalanced algebraic statement. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
There are four ways to depict an inequality: solution graph, interval notation, set notation, and equation notation.
A comparison of any two values, known as an inequality, demonstrates whether one value is less than, larger than, or equal to the value on the opposite side of the equation. A relationship in a real-world scenario can be demonstrated by writing an inequality.
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Which of these tables represents a function? W X Y Z?
Answer:
letter C
Step-by-step explanation:
hope this helps
What is the smallest number of paintballs that carolina can buy along with the entrance fee to get the promotion?.
The inequality that represents this scenario is 0.08B >= 57.
To get the promotion, Carolina needs to spend at least $75 on paintballs and the entrance fee. The entrance fee is a fixed cost of $18, so we need to find the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more.
The cost of the paintballs is calculated using the formula 0.08B, where B is the number of paintballs that Carolina buys. We can use this formula to write an inequality that represents the scenario described in the problem.
The total cost of the paintballs and the entrance fee is calculated using the formula 0.08B + 18. This formula represents the total cost of the paintballs and the entrance fee for any number of paintballs that Carolina buys.
To find the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more, we can set the total cost equal to $75 and solve for B:
0.08B + 18 >= 75
0.08B >= 57
B >= 712.5
The inequality 0.08B >= 57 represents the scenario described in the problem. It states that the number of paintballs that Carolina needs to buy in order to reach a total cost of $75 or more is greater than or equal to 712.5.
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The question is -
Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08 per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion, Let B represent the number of paintballs that Carolina buys. What inequality describes this scenario?
Help quick! I'll mark your answer as the brainliest if your answer is correct!
Jin is asked to graph this system of equations:
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?
A. The lines will not intersect, because this system has no solutions.
B. The lines will intersect infinitely many times, because they are identical.
C. There is no way to tell without graphing the lines first
D. The lines will intersect once, because this system has one solution.
Answer:
They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.
Olive has 600 fruit trees. Some of the trees are apple trees. The rest of the trees are pears trees and plum trees in the ratio of 7:5 there are 175 plum trees what is the fraction of apple trees
Answer: 3/10
Step-by-step explanation:
Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:
= 175 ÷ 5/7
= 175 × 7/5
= 245
Plum trees = 175
Pear trees = 245
Apple trees = 600 - (175 + 245)
= 600 - 420
= 180
Fraction of apple trees = Number of apple trees / Total number of trees
= 180/600
= 3/10
Your colleagues at work recently started to train for a 5K race. You decide this
would be fun and a good way to get more physical activity, so you join your colleagues
in training for the race. What type of influence on wellness is this an example of?
A. Social
B. Intellectual
C. Occupational
D. Environmental
The type of influence on wellness that this represents is given as follows:
A. Social.
What is the influence on wellness?An influence on wellness is an activity that improves the morale of certain aspect of our lives.
The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:
Social aspect: The walking activity is a bonding activity being executed with your work colleagues.Physical aspect: Physical exercise, such as walking, is essencial for the physical health.Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.
For example, reading a book would be intellectual influence, while recycling would be environmental influence.
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can someone solve please , ill give Brainly to whoever is first.
Answer:
1314 in²
Step-by-step explanation:
Let l be the length, w be the width and h be the height.
\(SA=2(lw+lh+wh)\)
Plug in the given values
\(SA=2(17*5+17*26+5*26)\\SA=2(85+442+130)\\SA=2(657)\\SA=1314\)
Therefore, the surface area of the shape is 1314 in².
I hope this helps!
Simplify the expression for the area
Answer:
UHHHHHHHHHHHHH
Step-by-step explanation:
You can use the numbers and the units more than once.
Using proportions, some equivalent measurements are given as follows:
1 centimeter - 0.01 meters.1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.3 and 1/3 feet - 40 inches.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.
Each meter has 100 centimeters, hence:
1 centimeter - 0.01 meters.
Each hour has 60 minutes, hence:
1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.Each feet has 12 inches, hence:
3 and 1/3 feet - 40 inches.
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i need help can u help me i will give brainlyiest.
Answer:
yes
Step-by-step explanation:
hope this helps! happy new year!
PLSSS HELP I WILL MARK BRAINLIST
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Part b and c are missing and they are;
b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
A) P(balanced fund) = 0.23
B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
what is 6.75% of 70?
Answer:
4.72500
Step-by-step explanation:
Answer:
6.75% of 70 is 4.725.
Step-by-step explanation:
6.75% as a decimal is 0.0675.
70 × 0.0675 = x
4.725 = x
6.75% of 70 is 4.725.
due today pls answer like
ASAPP
Answer: 616
Step-by-step explanation:
Multiply 11 times7= 77 then 77 times 8 which is 616
Answer:
126.5cm squared
Step-by-step explanation:
To find the area of the shaded figure, divide the shape into two: a triangle and a rectangle.
The rectangle's area is found by multiplying its length and width:
\(11 * 8 = 88 cm^2\)
The triangle's area is found by this formula:
\(\frac{1}{2} (base*height)\)
Deduced from the image, the height of the triangle is 7 cm.
Substituting:
\(\frac{1}{2} (11*7) = 38.5cm^2\)
Add the two areas together:
\(88 + 38.5 = 126.5cm^2\)
The area of the shaded figure is 126.5cm squared.
Andrew kicks a soccer ball with an initial velocity of 35 meters per second at an angle of 8 degrees. How far away from Andrew will the soccer ball land?
Answer:
34.5 meters
Step-by-step explanation:
Over horizontal ground, the range R for velocity v and launch angle θ is:
R=v^2sin2θ/g
=35^2sin16∘/9.8
= 34.5 meters
what is the circumference of this circle
Answer:
C≈12.57
Step-by-step explanation:
2πr
Answer: 12.56
Step-by-step explanation: Circumference = r2 pi
Since the radius is 2, the diameter is 4.
Then you will multiply 4 times pi and get around 12.56.
the triangles are similar. solve for x
Answer:
x= 6.25
Step-by-step explanation:
The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.
\(a^{2} = b^{2} + c^{2}\)
In this shape the formula will be:
\(TU^{2} = JT^{2} + JU^{2}\)
Substitute the given values in the shape into the formula.
TU = 34
JT = 27
TU = Lets take 'y'
\(34^{2} = 27^{2} + y^{2}\)
1156 = 729 + \(y^{2}\)
\(y^{2}\) = 1156 - 729
\(y^{2}\) = 427
y = \(\sqrt{427}\) = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).
So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:
-4 + 4x = 21
4x = 21 + 4
4x = 25
∴ x = \(\frac{25}{4}\) = 6.25
x= 6.25
you said Gabriel might have written $$.
What expression do you think Kayla might have written?
Answer:
The expression i think Gabriel might have written is
3x + 6
Step-by-step explanation:
i may not be right
on Tuesday, a local hamburger shop sold a combined total of 354 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburger sold. How many hamburgers were sold on Tuesday?
Answer:
176
Step-by-step explanation: