The inverse of the provided graph is shown in the image attached below.
What is an inverse function?In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).
In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value). By critically observing the graph, we can logically deduce the following points;
Vertex (h, k) = (-4, 6)
y-intercept (x, y) = (0, 8)
y-intercept (x, y) = (0, 4)
Point (x, y) = (5, 9)
Point (x, y) = (5, 3)
By swapping both the input value (x-value) and output value (y-value), we have:
Vertex (h, k) = (6, -4)
x-intercept (x, y) = (8, 0)
x-intercept (x, y) = (4, 0)
Point (x, y) = (9, 5)
Point (x, y) = (3, 5)
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Arithmetic average return is 10 nd the variance of returns is 0.05, find the approximate geometric mean.
The geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.
According to the given question.
Arithmetic average return = 10
And, variance of returns = 0.05
As we know that, the geometric average or geometric mean is approximately equal to the arithmetic average minus half of the variance.
Therefore, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 is given by
Geoemtric mean = 10 - 1/2(0.05)
⇒ Geometric mean = 10 - 0.025 = 9.975
Hence, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 30 N acts on a certain object, the acceleration
of the object is 3 m/s. If the forde is changed to 50 N, what will be the acceleration of the object?
Answer:
the acceleration of the object will be 5 m/s^2 when the force is 50 N.
Step-by-step explanation:
The force acting on the object varies directly with the object's acceleration, so we can use the formula:
force = constant x acceleration
where the constant is the same for both situations.
We can solve for the constant by plugging in the given values:
30 = constant x 3
constant = 10
Now we can use the constant to find the acceleration when the force is 50 N:
50 = 10 x acceleration
acceleration = 5 m/s^2
Therefore, the acceleration of the object will be 5 m/s^2 when the force is 50 N.
The sum of nine and a number
9 + x
sum = addition so the answer would be 9 + ×
your client's company wants to determine the relationship between its monthly operating costs and a potential cost driver. the output of regression analysis showed the following information: intercept coefficient
Based on the given coefficients, the company's monthly cost equation would be: y = $62.50x + $89,500. Option A is the correct answer.
The company's monthly cost equation can be determined using the information provided in the regression analysis. The intercept coefficient represents the fixed cost component, which is the cost that remains constant regardless of the level of the potential cost driver.
In this case, the intercept coefficient is $89,500. The X Variable 1 coefficient represents the variable cost component, which is the cost that changes in proportion to the level of the potential cost driver.
In this case, the X Variable 1 coefficient is $62.50. To form the monthly cost equation, we can use the formula:
y = mx + b Where: y is the monthly operating cost, m is the X Variable 1 coefficient, x is the level of the potential cost driver, b is the intercept coefficient.
Substituting the values given in the regression analysis:
y = $62.50x + $89,500.
Therefore, the correct answer is: A. y = $62.50x + $89,500.
The question should be:
your client's company wants to determine the relationship between its monthly operating costs and a potential cost driver. the output of regression analysis showed the following information: intercept coefficient = 89,500
X Variable 1 Coefficient = 62.50
R- square = 0.9855
What is the company's monthly cost equation?
A. y = $62.50x + $89,500
B. y = $89,500x + $62.98
C. y = $89,500x + $98.55
D. y = $98.55x + $89,500
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This short case deals with a company that produces knock-off
board games like Monopoly. It illustrates that a plant can use
multiple types of transformation systems simultaneously. It also
illustrates
X.Dpriy, Lse, was founded by two frse-year conlege stedents serves us rhe substrate lor the actual gime bourd The garme 10 produce a knockoif rest estate beard game similar to the board consists of nw
The given case study illustrates that a plant can use multiple types of transformation systems simultaneously. X .Dpriy, Lse was founded by two first-year college students and serves as the substrate for the actual game board. The game to produce a knockoff real estate board game similar to Monopoly. To make a knock-off board game like Monopoly, multiple transformation systems are needed. These include:
Material Handling: Material handling is the process of transporting raw materials, semi-finished goods, and finished goods from one location to another within the plant or facility. In the case of X.Dpriy, Lse, the material handling system moves the raw materials from the storage area to the production line.
Processing: The processing system transforms the raw materials into finished goods. In the case of X.Dpriy, Lse, the processing system involves the printing of the board game, packaging, and assembly.
Quality Control: Quality control is the process of ensuring that the finished goods meet the specified quality standards. In the case of X.Dpriy, Lse, the quality control system involves checking for errors or defects in the printing, packaging, and assembly processes.
Information Processing: Information processing systems involve the management of data, information, and knowledge within an organization. In the case of X.Dpriy, Lse, information processing systems are used to manage inventory, track sales, and analyze customer data.
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Ray's Car Wash receives $15 for washing 3 cars. Zippy's Car Wash receives $30
for washing 5 cars. Which car wash charges more money per wash?
Ray's Car Wash charges more money per wash.
Zippy's Car Wash charges more money per wash.
Each car wash charges the same amount of money per wash.
There is not enough information to determine the answer.
Answer: Ray's car wash receives more money per car wash
Step-by-step explanation:
my class average is 53% on an exam, and the professor made it a c, i got 60% on it, what will i get? is it bad?
Answer:
60% is a C to a C+, its not bad.
Step-by-step explanation:
Candace heated water in the microwave for 2 minutes 15 seconds.
How many seconds did Candace heat the water?
Answer:
135 seconds
Step-by-step
one minute is 60 seconds
60x 2 minutes= 120
120 +15 seconds= 135 seconds
Is 2.200929 rational
Simplify | 2.35 – 4.89 | + | 8.39 – 3.72 |.
Answer:
2.13
Step-by-step explanation:
Step-by-step explanation:
\(| 2.35 – 4.89 | + | 8.39 – 3.72 |\\\\|-2.54|+|4.67|\\\\2.54+4.67\\\\\boxed{\underline{7.21}}\)
You have $700 to buy a new carpet for you bedroom write an inequality that represents the cost c per 14 squares for your new carpet
The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:
The inequality is c ≤ 50.
Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:
c/14 ≤ 700
This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.
To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.
Since we have a budget of $700, we can write the inequality:
14x ≤ 700
This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:
x ≤ 50
This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.
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Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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ILL GIVE BRAINIEST ( or whatever that is)
why can't 3/4 be .34?
Answer:
3/4 would be .75
Step-by-step explanation:
1/4 would be .25 because .25x4=1. Because the denominator is a 4 you are trying to find a number that when multiplied 4 times would equal 1 or 4/4.
Answer:
3/4 cannot be .34 because that is not what it is equal to when converted to hundredths.
Step-by-step explanation:
The decimal 0.34 is in the value hundredths. 3/4's value when converted to hundredths is 75/100 or 0.75. We get this by multiplying 3 and 4 by the same factor that brings 4 to 100, which is 25.
So, 4*25=100(denominator), and 3*25=75(numerator). The decimal value is 0.75. Therefore, 3/4 cannot be 0.34 because the values are not the same.
dont click XD REEEEEEEEEEEEEEEEEEE
At its highest,the elevation of a county is 5,776 feet above sea level at its lowest point the elevation of the county is 9 feet below sea level
good night to everyone on brainly :)
Answer:
good night :))))))))))))
Answer:
umm this question is from a wile ago hehe but anyways i got points hehehe
Step-by-step explanation:
PLEASE HELP!!! WILL MARK BRAINLIEST
EMERGENCY HELP IS NEEDED!!! WILL MARK BRAINLLIEST!!!
(F + G) (X) = 10X + 7
IF F (X) = 6X + 2 WHAT DOES G (X) EQUAL?
A.) x-1
B.) 2x+2
C.) 3x+6
D.) 4x+5
The function G(X) can be solved algebraically to be G(X) = 4x + 5 which makes the option D correct.
How to solve algebraically for the function G(X)Given the function:
(F + G) (X) = 10X + 7 and F (X) = 6X + 2
then G (X) is derived algebraically as follows:
F (X) + G (X) = 10X + 7
G (X) = 10X + 7 - F (X)
G (X) = 10X + 7 - (6X + 2)
G (X) = 4x + 5
Therefore, the function G(X) can be solved algebraically to be G(X) = 4x + 5
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A guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, at what price should they sell each guitar?
The price of each guitar would be; 666.7 rounded to the nearest greatest cent.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, then;
C(x)=75x+50000
75x + 50000 = 150x
C(x)= 50000 = 75x
x = 50000/75
x = 666.67
Therefore, The price of the each guitar would be; 666.7 rounded to the nearest greatest cent.
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use a power series to approximate the definite integral to six decimal places. a. x2 1 x4 dx 0.4 0 tan−1(x2) dx
Using power series, we can approximate the definite integrals of \(x^2/(1+x^4) dx\) and\(tan^{-1} (x^2) dx\)from 0 to 0.4 to six decimal places as 0.154692 and 0.338765, respectively.
a. To approximate the definite integral of\(x^2/(1+x^4) dx\) from 0 to 0.4, we can use the power series expansion of\((1+x^4)^-1/4,\) which is given by:
\((1+x^4)^-1/4 = 1 - x^4/4 + 3x^8/32 - 5x^12/64 + ...\)
Integrating both sides with respect to x gives us:
∫\((1+x^4)^-1/4 dx = x - x^5/20 + x^9/72 - x^13/320 + ...\)
Multiplying both sides by \(x^2\)and integrating from 0 to 0.4 gives us the approximation:
∫\(0.4 x^2/(1+x^4) dx ≈ 0.154692\)
b. To approximate the definite integral of \(tan^{-1} (x^2)\) dx from 0 to 0.4, we can use the power series expansion of\(tan^{-1} (x)\), which is given by:
\(tan^{-1} (x) = x - x^3/3 + x^5/5 - x^7/7 + ...\)
Substituting x^2 for x and integrating both sides with respect to x gives us:
\(\int\limits \, tan^{-1} (x^2) dx = x^3/3 - x^5/15 + x^7/63 - x^9/255 + ...\)
Evaluating this expression from 0 to 0.4 gives us the approximation:
\(\int\limits\, 0.4 tanx^{-1} (x^2) dx\) ≈ 0.338765
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Plz help I need this today
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.
Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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1.7.14. suppose a is relatively prime to n. (a) show that for all b 2 z, the congruence ax b mod n has a solution. (b) can you find an algorithm for solving congruences of this type? hint: consider exercise 1.7.11. (c) solve the congruence 8x 12 mod 125.
For any integer b, if a and n are coprime, then the congruence ax ≡ b (mod n) has a solution, which can be found using Bézout's identity or the Extended Euclidean Algorithm. An example solution is x ≡ 632 (mod 125).
(a) To show that for all b ∈ ℤ, the congruence ax ≡ b (mod n) has a solution when a is relatively prime to n, we can use Bézout's identity. Since a and n are relatively prime, there exist integers x and y such that ax + ny = 1 (by Bézout's identity). Now, multiplying both sides of the equation by b, we get b(ax) + b(ny) = b. Since b(ny) is divisible by n, we can rewrite the equation as b(ax) ≡ b (mod n).
Therefore, the congruence ax ≡ b (mod n) has a solution, namely x = bx, which satisfies the equation.
(b) An algorithm for solving congruences of the form ax ≡ b (mod n), where a is relatively prime to n, can be based on the Extended Euclidean Algorithm. This algorithm helps us find the Bézout coefficients x and y such that ax + ny = 1. Once we have the values of x and y, we can multiply both sides of the equation by b to obtain the solution to the congruence.
(c) To solve the congruence 8x ≡ 12 (mod 125), we need to find x such that 8x ≡ 12 (mod 125). Since 8 and 125 are relatively prime, we can apply the algorithm mentioned above. Using the Extended Euclidean Algorithm, we find that 8(-8) + 125(1) = 1. Multiplying both sides of the equation by 12, we get 8(-8)(12) + 125(12) = 12. Simplifying, we have -768 + 1500 ≡ 12 (mod 125).
Thus, x ≡ -768 (mod 125) is a solution to the congruence. The smallest positive integer solution can be found by adding multiples of 125 to -768 until we obtain a positive value, which in this case is x ≡ 632 (mod 125). Therefore, the congruence 8x ≡ 12 (mod 125) is satisfied when x ≡ 632 (mod 125).
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2. A cell phone costs $600 and is on sale for 25% off. What is the sale price after the discount?
whole
Type your answer in the box below.
The sale price after the discount is $
100
or part=% x whole
The sale price of the cell phone that costs $600, after a 25% discount from the cost is $450
What is a discount?A discount is a reduction or deduction from the actual price of goods and or services.
The cost of the cell phone = $600
The percentage discount on the of the cell phone = 25%
The sale price after the discount can therefore be calculated as follows;
Sale price = ((100 - 25)/100) × $600 = $450
The sale price after the discount = $450
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An airplane flies from New Orleans, Louisiana to Atlanta, Georgia, at an average rate of 320 mph. The airplane then returns at an average rate of 280 mph. The total travel time is 3 hours.
1. Define a variable for the flying time from New Orleans to Atlanta. Write an expression for the travel time.
2. Write and solve an equation to find the flying time from New Orleans to Atlanta.
The aircraft then makes a 280 mph average return flight.
1. Flying time from Atlanta to New Orleans=3-t.
2. 1.4 hours from New Orleans to Atlanta.
Given that,
At an average speed of 320 mph, an airplane travels from New Orleans, Louisiana, to Atlanta, Georgia. The aircraft then makes a 280 mph average return flight. The trip takes three hours in total.
We have to find
1. Create a variable to represent the time it takes to fly from New Orleans to Atlanta. Create a formula to represent the travel time.
2. To calculate the flight time from New Orleans to Atlanta, write an equation and solve it.
1. We have to write an expression for the travel time from Atlanta to New Orleans.
Let us take
t = flying time from New Orleans to Atlanta
(3-t) = flying time from Atlanta to New Orleans.
2. We have to write a distance equation;
distance = speed * time
To distance = return distance
320t = 280(3-t)
320t = 840 - 280t
320t + 280t = 840
600t = 840
t = 840/600
t = 1.4 hours from New Orleans to Atlanta.
Therefore, 1. Flying time from Atlanta to New Orleans=3-t.
2. 1.4 hours from New Orleans to Atlanta.
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Which of the following best describes the slope of the line below?
O A. Negative
O B. Zero
O C. Positive
• D. Undefined
Answer:
B.zero
#carryonlearning
Answer:
D
Step-by-step explanation:
A vertical line parallel to the y- axis has an undefined slope
Eber ran 3 miles. He stopped to take a break every 34 mile. How many times did Eber stop, including his final stop at the end of his run? Use the model to help you answer this question.
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Eber ran 3 miles. He stopped to take a break every 3/4 mile.
Then the number of times that Eber stop, including his final stop at the end of his run, will be given as,
⇒ 3 ÷ (3/4)
⇒ 3 x (4 / 3)
⇒ 4 times
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
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show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d
(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.
Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.
To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:
Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.
Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.
Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.
Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.
Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.
Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.
Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.
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Lexi has a ladder that is 12 feet tall. How tall is the ladder in inches?
more than 12 inches
more than 0 inches but less than 2
inches
more than 2 inches but less than
12 inches
exactly 12 inches
Done
Answer:
Step-by-step explanation:
This question looks trivial but its not and its apparent you didn't think so either. It uses the very important word(s) of more than and less than. These two words in higher science give more trouble that a flock of magpies give a bunch of robins in spring when they are nesting.
So Here's the solution
1 foot = 12 inches.
12 feet is going to be MORE THAN 12 inches.
That's the first answer in the right column. Watch out for more than and less than. They are real trouble.
in triangle , , , and . point is randomly selected inside triangle . what is the probability that is closer to than it is to either or ?
The probability that P is closer to A than it is to either B or C is equal to the ratio of the area of the region closer to A to the total area of the triangle.
To determine the probability that point P is closer to A than it is to either B or C in triangle ABC, we need to consider the relative positions of the three points.
Let's assume that point P is chosen randomly and uniformly within the triangle. We can divide the triangle into three regions to analyze the positions of P:
Region closer to A: This region includes all points within the triangle that are closer to A than they are to either B or C. It is bounded by the perpendicular bisector of segment BC passing through A.
Region closer to B: This region includes all points within the triangle that are closer to B than they are to either A or C. It is bounded by the perpendicular bisector of segment AC passing through B.
Region closer to C: This region includes all points within the triangle that are closer to C than they are to either A or B. It is bounded by the perpendicular bisector of segment AB passing through C.
Since P is randomly selected within the triangle, the probability of it falling into any of these regions is proportional to the area of that region relative to the total area of the triangle.
Now, based on the given information that P is closer to A than it is to either B or C, we can conclude that P must lie in the region closer to A.
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