How do you convert 64 Kilogram (kg) to Pound (lb)
Kilograms Pounds, kilograms and ounces, 64 kilos 141.1 lbs 141 lbs, 2 ounces.
How much is one kilogramme in pounds?Remember that 1 kg is equal to 2.2046 lbs when converting between the two units.
One pound generally weighs 0.45359237 kilos. One can convert a pound to kilogrammes by multiplying the stated number of pounds by an average of 0.45359237.
One kilogramme is equivalent to 2.2 pounds (kg). The kg to pounds conversion results in 2.2 pounds for 1 kilogramme. One of the keys to remembering this conversion is the capacity to compute your own weight in pounds and kilogrammes.
The kilogramme will probably be used going forward because it is a smaller figure and is easier for you to memorise.
The kilograms to pounds conversion table
Kilograms Pounds
kilograms and ounces
64 kilos 141.1 lbs 141 lbs, 2 ounces.
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Do the segments connecting points A, B, and C form a right triangle? Show work that leads to your answer. Round to the nearest tenths place if necessary.
Show your work please
Answer:c
Step-by-step explanation:
geometric mean of 3 and 17
Answer:
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the answer.
3 * 17 = 51
The square root of 51 is: 7.141
7.141 is the geometric mean of 3 and 17.
Step-by-step explanation:
Hope it helps! =D
in example 2.10, identify three events that are mutually exclusive. b. suppose there is no outcome common to all three of the events a, b, and c. are these three events necessarily mutually exclusive? if your answer is yes, explain why; if your answer
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
Explanation:
We will identify the given three events that are mutually exclusive.
From example 2.10
A = {Chevrolet, Pontiac, Buick }
B = {Ford, Mercedes }
C = {Lincoln, Chrysler }
Step 1 of 1
If A∩B=∅ where A and B
are two events then we can say that they are mutually exclusive.
And if there are three or more events then they are mutually exclusive if no two events have an element in common.
Now, events from example 2.10
are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We can see that all the name card are car brand and their intersection is empty.
Hence, they are mutually exclusive.
Then,
A∩B=∅ and A∩C =∅ and B∩C=∅
Final answer
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
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The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We will identify the given three events that are mutually exclusive.
From example 2.10
A = {Chevrolet, Pontiac, Buick }
B = {Ford, Mercedes }
C = {Lincoln, Chrysler }
Step 1 of 1
If A∩B=∅ where A and B
are two events then we can say that they are mutually exclusive.
And if there are three or more events then they are mutually exclusive if no two events have an element in common.
Now, events from example 2.10
are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We can see that all the name cards are car brands and their intersection is empty.
Hence, they are mutually exclusive.
Then,
A∩B=∅ and A∩C =∅ and B∩C=∅
Final answer
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
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sketch slope field for y′ = y2
The sketch field of given differential equation is attached in image .
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The equation y′=f(x,y) gives you a slope at each point in the (x,y)-plane. And this is the slope a solution y(x) would have at x if its value was y. In other words, f(x,y) is the slope of a solution whose graph runs through the point (x,y). At a point (x,y), we plot a short line with the slope f(x,y).
We have y'=y2
we can write it,
[tex]\frac{dy}{dx}=y^2[/tex]
[tex]\int y^{-2}dy=dx\\\\\frac{-1}{y}=x+c\\[/tex]
The sketch field of the given differential equation is attached in image.
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If DE = 4x + 5 and GJ = 3x + 25, find DE.
If DE = 4x + 5 and GJ = 3x + 25, and the value of both the expressions is same, then value of DE is, 85
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Two expressions,
DE = 4x + 5 and GJ = 3x + 25,
If DE = 4x + 5 and GJ = 3x + 25, and they have the same value, then we can set the two expressions equal to each other:
4x + 5 = 3x + 25
Solving for x, we get:
x = 20
So, when x = 10,
DE = 4 x20 + 5
= 85
and GJ = 3 x 20 + 25
= 85
Therefore, the value of DE is 85.
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An outcome table with 36 possible outcomes. The number of desired outcomes is 9. What is the probability of rolling an even number and then an odd number when rolling two number cubes? size of sample spaces = number of desired outcomes = p(first is even and second is odd) =.
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25.
The sample space is the set of all possible outcomes, which in this case is 36. The number of desired outcomes is 9, as the question specifies.
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25. You calculate this by taking the number of desired outcomes (9) and dividing it by the total number of possible outcomes (36).
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25. This is calculated by taking the number of desired outcomes (9) and dividing it by the total number of possible outcomes (36).
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When rolling two number cubes, the likelihood of first getting an even number and then an unusual one is 1/4, or 0.25. You can determine this by dividing the total number of possible outcomes by the number of intended outcomes (9). (36).
When rolling two number cubes, the likelihood of first getting an even number and then an unusual one is 1/4, or 0.25. This is calculated by dividing the total number of possible outcomes (which is 36) by the number of intended outcomes (9). (36).
How to solve system of equations using Gauss-Jordan elimination?
Gauss-Jordan Elimination is a technique for solving systems of linear equations and for determining the inverse of any invertible matrix.
What is meant by Gauss-Jordan elimination?Gauss-Jordan Elimination is a method for finding the inverse of any invertible matrix and for solving systems of linear equations. It is based on the three simplest row operations one may do on a matrix: Place two of the rows in opposite positions. A nonzero scalar multiplied by one of the rows
Since a similar version was described by Wilhelm Jordan in 1888 in his book "Handbuch der Vermessungskunde" independently of B. I. Clasen, who published something similar in the same year, the procedure known as Gauss-Jordan elimination for converting a matrix into reduced echelon form also includes the name Jordan.
This method, which is also known as row reduction, has two steps: forward elimination and back substitution. These two Gaussian elimination method steps differ from one another not by the operations that can be performed through them but rather by the outcome that is obtained.
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12. Mary and Jenny worked in a bookstore during the summer. Because of the experience, Mary's pay is 20% more than Jenny's. Last week, Mary worked for 30 hours and Jenny worked for 25 hours. Together they made $610. What are Mary's and Jenny's hourly rates?
Answer:
Let x be Jenny's hourly rate. Then Mary's hourly rate is x + 0.2x = 1.2x.
The total amount of money they earned for the hours they worked is the same, so we can set up the equation:
30x + 25(1.2x) = 610
Expanding the second term and solving for x:
30x + 30x = 610
60x = 610
x = 10.17
So Jenny's hourly rate is $10.17 and Mary's hourly rate is $12.20.
the rate of change of the weight of a laboratory mouse can be modeled by the equation where t is the age of the mouse in weeks and . what does mean?
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
What is weight ?
Weight is a measure of the force exerted on an object due to gravity. It is commonly defined as the mass of an object multiplied by the acceleration due to gravity. In physics, weight is often expressed in units of Newtons or pounds.
The expression dW/dt represents the rate of change of the weight of the mouse (W) with respect to its age (t) in weeks. The symbol dW/dt is known as the derivative of the weight with respect to time and represents the rate of growth or decline of the mouse's weight.
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
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dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
Weight is a measure of the force exerted on an object due to gravity. It is commonly defined as the mass of an object multiplied by the acceleration due to gravity. In physics, weight is often expressed in units of Newtons or pounds.
The expression dW/dt represents the rate of change of the weight of the mouse (W) with respect to its age (t) in weeks. The symbol dW/dt is known as the derivative of the weight with respect to time and represents the rate of growth or decline of the mouse's weight.
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
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Question Decide if the expressions in each pair are equivalent. Select true or false for each.
a) (x + x + x + x) and (4x) are equivalent (Select ] b) (5x) and (x + 5) are equivalent
true or false
(a) The expressions (x + x + x + x) and (4x) are equivalent.
(b) The expressions (5x) and (x + 5) are not equivalent.
Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the variable is set to the same value.
a) True
The expressions (x + x + x + x) and (4x) are equivalent.
Both expressions represent the same mathematical operation, which is adding x four times.
b) False
The expressions (5x) and (x + 5) are not equivalent. They represent different mathematical operations.
The expression (5x) is multiplying x by 5, while the expression (x + 5) is adding x and 5.
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The graph shows the absolute value parent function.
which statement best describes the function?
(image attached)
The correct statement regarding the sign of the absolute value function is given as follows:
B. The function is never negative.
How to classify a function as positive or negative?A function is classified as positive in the intervals that it's graph is positioned above the x-axis.
A function is classified as negative in the intervals that it's graph is positioned below the x-axis.
When the graph of the function is exactly at the x-axis, it is said that the function assumes a value of zero.
For this problem, the lowest value assumed by the function is at the x-axis, hence it is of zero and the function is never negative, meaning that option B is correct.
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find an angle that is coterminal with a standard position angle measuring -210° that is between -720°and -360°
The coterminal angle with -210° is -570°. This is because subtracting 360° from -210° gives us -570° which is between -720° and -360°.
To find an angle coterminal with -210° that is between -720° and -360°, we need to subtract 360° from -210°. By doing this, we end up with -570° which is the coterminal angle with -210° that lies between -720° and -360°. This is because angles on the circle can 'wrap around' infinitely, and when we subtract 360° from -210°, we end up with an angle that is still equivalent to -210°, but between the two values we are looking for. Therefore, the angle we were looking for is -570°.
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assume that a customer shops at a local grocery store spending an average of $ a week, resulting in a retailer profit of $ each week from this customer. assuming the shopper visits the store all 52 weeks of the year, calculate the customer lifetime value if this shopper remains loyal over a 10-year life span. also assume a percent annual interest rate and no initial cost to acquire the customer.
"The customer yields $780 per year in profits for this retailer."
Customer lifetime value (CLV) is a prediction of the total value a customer will bring to a business over their entire relationship with the company. Retailer profits refer to the financial gain a retailer makes after subtracting all costs, including the cost of goods sold, operating expenses, and taxes, from the revenue generated by their retail sales.
The customer spends $250 a week, so the retailer profits:
= $250 - $235= $15 from each visit.If the shopper visits the store every week for a year, the retailer profits:
= $15 x 52= $780 per yearIf this shopper remains loyal for a 10-year lifespan, the retailer profits:
= $780 x 10= $7,800This is the CLV without considering inflation or any other factors. To consider inflation, we can apply the 8% annual interest rate to calculate the present value of the future profits. The present value of $7,800 over 10 years with an 8% interest rate is approximately $5,100 (the exact value will depend on the method used to calculate the present value).
This question should be provided as:
Assume that a customer shops at a local grocery store spending an average of $250 a week, resulting in a retailer profit of $15 each week from this customer. Assuming the shopper visits the store all 52 weeks of the year, calculate the customer lifetime value if this shopper remains loyal over a 10-year life span. Also assume a 8 percent annual interest rate and no initial cost to acquire the customer.
The customer yields $_____ per year in profits for this retailer.
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Jenny has ten chickens that lay eggs every day. She wants to give away
her extra eggs to her neighbors, but she wants to give each neighbor an
equal number of eggs. She figures out that she needs to give 7 of her
neighbors eggs for them to get the same amount, otherwise there is one
egg left over. What is the smallest number of eggs she needs for this
situation to be true?
Answer: 14 eggs
Step-by-step explanation: Hello!
You know that there are 10 chickens that lay eggs every day. There are 7 neighbors that she needs to give eggs to so that they each get the same amount otherwise there is one egg left over. We know that each chicken must produce at least one egg per day, meaning that the bare minimum amount of eggs per day is 10. Let's try 10.
10/7 = 1 and 3/7. This means that there would be 3 eggs remaining. This is not possible. Let's try 11.
11/7 = 1 and 4/7. This means there would be 4 eggs remaining. Let's try 14.
14/7 = 2. This is the smallest number of eggs for each neighbor to get the same amount of eggs each per day (2). The smallest number of eggs she needs in total is 14.
emma uses turquoise beads to make bracelets to sell at an event. the total amount emma earns, y, is proportional to the number of bracelets, x, she sells. emma earns $10 for each sold bracelet. which equation represents the total amount emma earns at the event?
The equation representing the total amount Emma earns at the event is y = $10x.
If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:
y = kx
where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:
y = $10 * x
Therefore, the equation representing the total amount Emma earns at the event is y = $10x.
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The equation representing the total amount Emma earns at the event is y = $10x.
If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:
y = kx
where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:
y = $10 * x
Therefore, the equation representing the total amount Emma earns at the event is y = $10x.
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POINTS UP FOR GRABS!!!
Answer:Write the slope-intercept form of the line with the given slope and point.
m=−2; (5, 1)
Step-by-step explanation:
Im doing Financial position throughout the life cycle homework and i would like to know Chuck And Wendy's investment assets and total assets?
Chuck and Wendy's investment assets is to use their gross assets as a base and then add in any net assets.
For example, if Chuck and Wendy have $100,000 in gross assets and $50,000 in net assets, their investment assets would be $120,000.
Chuck and Wendy's fixed assets and total wealth depend on many factors, including the level of risk they are willing to take, expected return, and overall financial stability.
For example, Chuck and Wendy's may have higher risk if they have a higher return on investment but still have $100,000 in total assets if their expected return is 5%.
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42= −7( z − 3)
TYSMFYH
Answer:
z = -3
Step-by-step explanation:
-7(z - 3) = 42
Distribute -7 to both numbers inside the parenthesis:
(-7(z) - -7(3)) = 42
-7z + 21 = 42
Subtract 21 from both sides:
-7z = 21
Divide both sides by -7:
[z = -3]
Tell whether the fractions are equivalent. Write equal or not equal. 2/3 and 4/10 5/6 and 10/12 1/4 and 4/8
Solve the following system of equations algebraically. Give exact answers. Then explain what your solution indicates about the graph of the system.
[tex]\left \{ {{3x^{2}+y^{2} =16} \atop {x^{2}-y^{2} =4}} \right.[/tex]
The solution to the system is:
(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1).
This represents two equations hyperbola and ellipse which intersect at exactly 4 points.
The system of equations, as follows:
3x² + y² = 16
x² - y² = 4
We can solve this system of equations by substitution.
Starting with the first equation, we can isolate y²:
y² = 16 - 3x²
Substituting that into the second equation, we get:
x² - (16 - 3x²) = 4
Expanding the right side:
x² - 16 + 3x² = 4
4x² = 4 + 16
4x² = 20
Dividing both sides by 4:
x² = 5
Taking the square root of both sides:
x = ±√5 = ± 2.236
With x found, we can substitute it back into the expression for y²:
y² = 16 - 3x²
y² = 16 - 3(√5)²
y² = 16 - 3(5)
y² = 16 - 15
y² = 1
Taking the square root of both sides:
y = ±1
So the solution to the system is:
(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1)
This means the two equations are hyperbola and ellipse which intersect at exactly 4 points.
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(3) I'm stuck with my math help find me the x and the y show all ur steps
a) On solving the linear equations y = - 6x - 11 and y = 4x + 19, the solutions are x = -3 and y = 7.
b) The system of equations has one solution.
c) The solution is obtained as x = -3 and y = 7.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The two linear equations given are -
y = - 6x - 11 .... (1)
y = 4x + 19 .... (2)
Substitute equation (1) in (2) -
- 6x - 11 = 4x + 19
Collect all the like terms -
- 6x - 4x = 19 + 11
-10x = 30
x = 30 / -10
x = -3
Substitute the value of x in equation (1) -
y = - 6(-3) - 11
y = 18 - 11
y = 7
The two equations form a linear graph and intersect at point (-3,7).
So, there is only one solution to the system of equations.
Therefore, the solutions are x = -3 and y = 7.
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a the information to answer the question. ompany packages puzzles in boxes that are 6 Inches by 4 Inches by 2 inches. The puzzle boxes are packed into a shipping crate. The shipping e is a cube with 12-inch sides. at is the greatest number of puzzle boxes that can be packed into a shipping crate? Enter the answer in the box. boxes of puzzles
If company packages puzzles in boxes that are 6 Inches by 4 Inches by 2 inches and the shipping e is a cube with 12-inch sides. The greatest number of puzzle boxes that can be packed into a shipping crate is: 36 puzzle boxes.
How to find the greatest number of puzzle boxes?Volume of the puzzle box = 6 * 4 * 2
Volume of the puzzle box = 48 cubic inches
Volume of the shipping crate = 12 * 12 * 12
Volume of the shipping crate = 1728 cubic inches
Greatest number of puzzle boxes that can be packed into a shipping crate is:
Greatest number of puzzle boxes = 1728 / 48
Greatest number of puzzle boxes = 36 puzzle boxes
Therefore the Greatest number of puzzle boxes is 36 puzzle boxes.
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Help Reymond identify the option with the correct formula for the area of a rectangle.
a. l + b
b. I x b
c. I + b + I + b
The sum of a rectangle's length (a) and breadth (b) equals the area of the rectangle (A). So, the area of a rectangle is equal to (a b) square units. l × b.
Why Do We Calculate the Area of a Rectangle?To determine the area occupied by a rectangle within its perimeter, we compute the area of the rectangle.The region that the rectangle's sides occupy is known as the area of the rectangle.By dividing the rectangle's length by its breadth, we may determine the area of a rectangle.Area = base / height / 12. Area = 1/2 of b/h. length times length equals area. Area = l2. length times width equals area. L times B is the formula for area. Area equals: a radius plus a radius Area = π × r2(π = 3.14)There are formulas for the area, perimeter, and diagonal of rectangles. To refresh your memory, a rectangle is a four-sided polygon whose opposite sides are all the same length.To learn more about rectangle refer to:
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4. A movie theater is arranged with 7 seats in the front row, 12 seats in the middle row, and 11 seats in the back row. People enter the movie theater and randomly sit in different spots. What is the probability that the first peron who enter the theater will be in the middle row?
Answer: 1/30 is the probability.
Two brothers each purchase a new pair of hiking boots and two canteens. The hiking boots cost 34. 00 each. The total of their purchase wad 98. 0.
Write an equation and solve
The equation formed will be - cost × number of hiking boots + cost × number of canteens and the cost of canteens will be 15.
The equation that will be formed is -
Total cost of purchase = cost of hiking boots × number of hiking boots + cost of canteens × number of canteens
Keep the values in formula to find number of canteens, as it is the only value not provided in the question.
98 = 2×34 + 2× cost of canteens
Performing multiplication on Right Hand Side of the equation
98 = 68 + 2×cost of canteens
Rewriting the formula -
2× cost of canteens = 98 - 68
Performing subtraction on Right Hand Side of the equation
2× cost of canteens = 30
Cost of canteens = 30/2
Performing division on Right Hand Side of the equation
Cost of canteens = 15 each
Thus, the cost of canteens is 15 each.
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HELPPPPPPPPP
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings.
a: 43 + 72x ≤ 1,128
b: 43 + 72x ≥ 1,128
c: 43x + 72 ≥ 1,128
d: 43x + 72 ≤ 1,128
Answer:
c
Step-by-step explanation:
Determine the maximum value of the function ????(x) = (x − x 2 )/(1 + 8x 2 ) and the value of x at which this occurs.
The maximum value of the function f(x) = (x − x²)/(1 + 8x²) is 1/4, and it occurs when x = 1/2.
A function is a mathematical relationship between input and output values.
In this problem, we have a specific function defined as
=> f(x) = (x − x²)/(1 + 8x²).
Let's start by analyzing the expression of the function.
The function is composed of two parts:
=> (x − x²) and (1 + 8x²).
The first part is a simple polynomial expression with degree 2. It represents a parabolic shape with a vertex located at (1/2, 1/4).
The second part, (1 + 8x²), is always positive, so it does not affect the shape of the function.
The maximum value of the function will occur when the first part, (x − x²), is at its maximum. Since this part is a parabolic shape with a vertex at (1/2, 1/4), the maximum value is 1/4.
So, the maximum value of the function
=> f(x) = (x − x2)/(1 + 8x²) is 1/4.
To find the value of x at which this occurs, we will have to find the x-coordinate of the vertex of the parabolic shape.
This can be done using the formula for the x-coordinate of the vertex of a parabolic equation, which is -b/2a.
Plugging in the values of a and b from the equation (x − x²) gives us
x = 1/2.
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Five friend attend a matinee movie and pend $8 per ticket. They alo purchae a mall bag of popcorn each. The friend pend a total of $62. 50. Let x be the price of a mall bag of popcorn
The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as,
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as,
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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how ot see how fast membership is incresing initially calculus
The first derivative will give the slope of the function.
The second derivative will give you the point at which the function is increasing or decreasing the most rapidly.
If the 3rd derivative is negative, the rate of increase at the 2nd derivative point will be maximum; if positive, it will be a minimum.
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilized. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable).
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