∃x∀y(x ≤ y) We can write the negation by switching the existential and universal quantifiers, and inverting the inequality sign. The negation is therefore expressed as ∃x∀y(x ≤ y).
The negation of the statement “for all x, there exists a y such that x is greater than y” can be expressed as “there exists an x such that for all y, x is less than or equal to y”. This negation is written as ∃x∀y(x ≤ y). This is done by switching the existential and universal quantifiers, and inverting the inequality sign. By doing so, we can form an expression that is the logical opposite of the original statement, which is necessary in order to negate it.
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Nvm I’ll just fail lol
Answer: probably greater than 3 1/2 inches, since bumper stickers are usually wider than they are tall
Step-by-step explanation:
Angle bisectors split the sides of a triangle into a1, a2, b1, b2, c1, and c2. a1 = 11/3 a2= 22/3 b1 = 143/12. Find the perimeter
The perimeter of the triangle which has a bisector that splits a triangle into 6 sides would be = 47½
What is a bisector?A bisector is defined as the line that divides a shape into two equal parts.
The perimeter of triangle is the sum total of all the sides of the triangle. That is;
perimeter = a1 + a2 + b1 + b2 + c1 + c2
But the value of only 3 sides which is exactly half of the perimeter where given;
= 11/3+22/3+153/12
= 44+ 88+ 153/12
= 285/12
Therefore perimeter
= 285/12 + 285/12
= 570/12
= 47½
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
please help me and give all steps to it
Answer:
24501.42 m³
Step-by-step explanation:
You want the volume of a cylinder that is 34 m in diameter and 27 m high.
VolumeThe volume of a cylinder is given by the formula ...
V = πr²h
where r is the radius, half the diameter, and h is the height.
Use the given values in the formula and do the arithmetic. The volume is about ...
24501.42 m³
__
Additional comment
The answer shown has 7 significant figures. The value used for π has 3 significant figures, so any figures in the answer after the first 3 are incorrect. When a more accurate value of π is used, the answer rounds to 24513.85 m³.
What is the length of WY?
The length of WY is 4.9.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From two triangles the proportional sides are
11.1/5.55=8/4=9.8/WY
2=2=9.8/WY
So 2=9.8/WY
WY=9.8/2
WY=4.9
Hence, the length of WY is 4.9.
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estimate the solutions of the equation f(x) = −1. (enter your answers as a comma-separated list.)
We can use graphical or numerical methods to estimate the solutions os equations by finding the x-values at which the graph of f(x) intersects the x-axis at y = -1.
What is the equation?We must identify the values of x that cause f(x) to equal -1 in order to estimate the solutions to the equation f(x) = -1.
It is challenging to identify the precise solutions of the equation without knowing the precise shape of the function f. (x). However, by locating the x-values where the graph of f(x) intersects the x-axis at y = -1, we can use graphic or numerical techniques to approximate the solutions. Based on the degree, there are three primary sorts of equations. linear, cubic, and quadratic equations.
How are equations solved?Equation Solving: A General Principle
On each side of the equation, merge like terms and remove parentheses.
You can use either addition or subtraction to separate the variable word.
Use multiplication or division to find the solution for a variable.
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Which quantity is proportional to 8⁄12?
Check all that are true.
16⁄36
12⁄16
24⁄36
2⁄3
18⁄24
The quantities that are proportional to 8⁄12 are 24 / 36 and 2 / 3.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the fraction is 8 / 12. The equivalent expression will be calculated as:-
8 / 12 = 2 / 3
16⁄36 = 4 / 9
12⁄16 = 3 / 4
24⁄36 = 2 / 3
2⁄3 = 2 / 3
18⁄24 = 3 / 4
The equivalent expressions will be 8 / 12 = 24 / 36 = 2 / 3.
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randy needs to buy school supplies he needs a headset that cost 30.00 he also needs notebooks that cost 3.00 each format your response using 2 decimal places
Step-by-step explanation:
If Randy needs to buy a headset that costs $30.00 and notebooks that cost $3.00 each, we can calculate the total cost of the supplies as follows:
Let's assume that Randy needs n notebooks.
The total cost of the notebooks will be $3.00 * n.
The total cost of the headset and the notebooks will be $30.00 + $3.00 * n.
So the total cost of the supplies will be $30.00 + $3.00 * n, rounded to 2 decimal places.
The value of a painting increases by 32 percent every year. If the painting
was purchased 2 years ago for $12,430, how much is it worth today?
The painting is worth $22,225.62 today.
Compound interest is computed on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when computing interest for the next month.
Compound annual growth rate (CAGR) is the average yearly growth rate of an investment over a time period greater than one year. It is one of the most reliable methods for calculating and determining returns for individual assets, investment portfolios, and anything else whose value might grow or decline over time.
The formula to calculate the increase in the value of the painting is:
value_today = value_yesterday * (1 + 0.32)^number_of_years
Plugging in the given values:
value_today = $12,430 * (1 + 0.32)^2 = $12,430 * 1.32^2
= $12,430 * 1.7984
= $22,225.62
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Someone help me plss
The value of y when x = 45 using the given table is; y = (6/√2) + 4
How to solve function tables?The equation that represents the table is;
y = a cos x° + b
At x = 0, y = 10. Thus;
10 = acos 0 + b
cos 0 = 1
Thus;
10 = a + b ------(1)
At x = 60, y = 7
Thus;
7 = a cos 60° + b
cos 60 = 0.5
Thus;
7 = 0.5a + b -----(2)
Subtract eq 2 from eq 1 to get;
3 = 0.5a
a = 3/0.5
a = 6
b = 10 - 6
b = 4
Thus, the equation is;
y = 6cos x° + 4
At x = 45. we have;
y = 6cos 45° + 4
y = (6/√2) + 4
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Help and show work pls I’ll mark brainlist
f(x) = x + 4. q(x) = 12x1
Solve for: 1(g(-3))
The value of the composite function f(g(-3) is -32
What is the value of h(1)?From the question, we have the following parameters that can be used in our computation:
f(x) = x + 4. q(x) = 12x
The above are individual functions
This means that
f(g(x)) = 12x + 4
For f(g(-3)), we have
f(g(x)) = 12 * -3 + 4
Evaluate
f(g(x)) = -32
Hence, the value of the composite function is -32
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How to convert 150 pounds to kilograms?
68.0389 convert 150 pounds to kilograms
How do you convert pounds to kilograms?To convert lbs to kg, multiply the given lbs value by 0.45359237 kg. For example, to convert 5 lbs to kilogram, multiply the given 5 lbs by 0.45359237 kg. Therefore, 5 lbs is approximately equal to 2.26796185 kgDivide the number of pounds by 2.2046 to use the standard equation. For example, if you want to convert 50 pounds to kilograms, divide 50 by 2.2046, which is equal to 22.67985 kg. To convert 200 pounds to kilograms, divide 200 by 2.2046, which is equal to 90.71940 kg.To convert ounces to pounds, divide by 16 the mass in ounces. The result will be the mass expressed in poundsTo learn more about convert pounds to kilograms refers to:
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In an effort to protect the environment, Ryan is trying to get the citizens of his hometown, Centerville, to waste less water. A study indicated that they wasted 9,500 gallons of water last year and 5,130 gallons of water this year. What is the percent of decrease in the amount of water wasted yearly?
Answer:
13
Step-by-step explanation:
find the 20th term of the A.p 3,6,9
Answer:
60
Step-by-step explanation:
1=3
2=6
3=9
The relation is Y=3X
Y20 = 3X20=60
What is 80 Inches in Feet?
When 80 inches is converted to feet it will be 6.66667 feet.
How to convert inches to feet?Divide 80 by 12 to convert 80 inches to feet. Using a calculator or long division, we can calculate that 80 inches equals 6.66667 feet. As a result, 80 inches equals 6.66 feet. It is important to note that inches and feet are both length units, so when you convert between the two, you are essentially moving the decimal point in the number two places to the left or right depending on which unit you are converting to. To convert inches to feet, divide the number of inches by 12, because a foot is 12 inches long. Similarly, to convert feet to inches, multiply the number of feet by 12, because there are 12 inches in a foot.Therefore, 80 inches equals 6.66667 feet, and inches to feet can be converted by dividing the number of inches by 12.To learn more about inches refer to :
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a boat travling at an average speed of 30 miles per hour. how far will the boat travle in 2 seconds
Answer:
The boat traveling at 30 miles per hour will travel 30 * (2/3600) = 0.05 miles in 2 seconds.
Step-by-step explanation:
Here's a step-by-step explanation to find the distance traveled by the boat in 2 seconds:
Start with the speed of the boat, which is given as 30 miles per hour.
To find the distance traveled in 2 seconds, we need to convert the speed from miles per hour to miles per second.
To convert from miles per hour to miles per second, divide the speed by 3600 (since there are 3600 seconds in an hour).
30 / 3600 = 0.008333333 (miles per second)
Multiply the speed in miles per second by the time in seconds to find the distance traveled.
0.008333333 * 2 = 0.016666666 miles
So the boat will travel 0.016666666 miles in 2 seconds, or approximately 0.05 miles.
What are the like terms, coefficients, and constants in the equation 7-5x+1
Answer:
Let's define these terms:
Step-by-step explanation:
A variable is a letter that represents a number.
x and y are common variables for algebra.
A coefficient is a number next to a variable.
Ex: 8x, 8 is the coefficient for the variable x
A constant is a number without a variable.
Ex: 3, -4, and pi are examples of constants.
Select the correct conversion factor for each step in the following roadmap for a substance with a density of 1 g/mL.
volume (L) ----> volume (mL) ----> mass (g)
The complete conversion roadmap is: Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g
To convert the volume from liters to milliliters, we use the conversion factor of 1000 mL/L. This means that for every 1 liter, there are 1000 milliliters.
Volume (L) ----> volume (mL): 1 L * 1000 mL/L = 1000 mL
To convert volume to mass, we use the density of the substance, which is 1 g/mL. This means that for every 1 milliliter of the substance, it has a mass of 1 gram.
Volume (mL) ----> mass (g): 1000 mL * 1 g/mL = 1000 g
Therefore, the complete conversion roadmap is:
Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g
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Hamid has gained weight. He now weighs 88kg which is 10% higher than his normal weight. What is Hamids normal weight?
If Hamid's current weight is 88kg and it is 10% higher than his normal weight, then we can use the following formula to find his normal weight:
Normal weight = Current weight / (1 + 10%)
10% of Hamid's weight is 0.10 * 88kg = 8.8kg
So, Normal weight = 88kg / (1 + 8.8kg) = 88kg / 1.10 = 80kg
Therefore, Hamid's normal weight is 80kg.
Wats the answer to b
Answer:
Below
Step-by-step explanation:
y = 3/20 * x where y is in miles and x is in minutes
a jar contains marbles of the following colors: 3 white, 6 red, and 9 green. two marbles are randomly taken from that jar, consecutively and with replacement. what is the probability that the first marble is white and the second is green?
The probability that the first marble is white and the second is green is 0.083.
The probability of drawing a white marble first and then a green marble can be calculated by multiplying the individual probabilities of drawing each marble. The probability of drawing a white marble is 3/18 and the probability of drawing a green marble is 9/18. So, the probability that the first marble is white and the second is green is
= probability of drawing a white marble x
probability of drawing a green marble
= (3/18) * (9/18)
= 0.16666666666 * 0.5
= 0.083.
This means that if we randomly select two marbles, with replacement, from the jar, there is a 0.083, or 8.3%, chance that the first marble will be white and the second will be green. The probability is calculated by taking the product of the individual probabilities of each event happening.
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Calculate the values of a that satisfy the
equation
2(4x + 8 - x²) = 9x + 7
Give each of your answers to 3 s.f.
The values of x in the equation is x = -2.39 and x = 1.89
How to determine the value of x in the equationFrom the question, we have the following parameters that can be used in our computation:
2(4x + 8 - x²) = 9x + 7
Open brackets
This gives
8x + 16 - 2x² = 9x + 7
Evaluate the like terms
2x² + x - 9 = 0
Using a graphing calculator, we have the following values
x = -2.386 and x = 1.886
Approximate
x = -2.39 and x = 1.89
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In the autonomous differential equation dx/dt = x(1 - x), the critical point Select the correct answer.
A. x = 0 is semistable B. x = 1 is an attractor C. x = 1 is a repeller
D. x = 0 is an attractor E. x = 1 is semistable
The correct option are: B. x = 1 is an attractor; is the critical point for the given autonomous differential equation.
Explain the term autonomous differential equation?The right-side zeros of an autonomous 1st order differential equation provide the critical points: x' = f(x)
If a sign of said function shifts from positive towards negative, f(x) = 0
a critical point becomes an attractor:if the function's sign flips from negative towards positive, is a repeller.If a function does not reverse signs just at critical point, it is semistable.These critical point characteristics reveal the behaviour of the solutions close to the critical points.The solutions would converge around the critical point around an attractor.
Solve the autonomous differential equation:
dx/dt = x(1 - x),
Put dx/dt = 0
x(1 - x) = 0
x = 0, x = 1
Thus, at x = 1.
The function changes as from positive towards negative.
So, the solution becomes critical point.
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Solve the equation for x.
−0.24x − 16.4 = 1.96
x = −60.2
x = 60.2
x = −76.5
x = 76.5
Answer:
254
Step-by-step explanation:
i think it is correct
Answer:
-76.5
Step-by-step explanation:
see image attached for sol
Andre ran 5 1/2 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this equation
Here, we don't know the exact values for the speed or the lap length, so we need to use symbols in the equation i.e., x= 8 / (5.5 / lap length × speed ).
There are a couple of ways to approach this problem, but one common method is to use the formula: distance = speed x time.
To find the time it took Andre to run each lap, we need to find the distance he covered in 8 minutes and then divide that by the number of laps. Here are the equations:
1. Distance = 5.5 laps x lap length
2. Distance = speed x 8 minutes
3. x = (5.5 x lap length) / (speed x 8)
4. x = 8 / (5.5 / lap length x speed)
Note that we don't know the exact values for the speed or the lap length, so we need to use symbols in the equations.
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select the expression that is equivilant to (3d^4)^2
The expression that is equivilant to (3d^4)^2 is 9d^8
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
(3d^4)^2
Remove the bracket
So, we have the following representation
3^2 * d^(4*2)
Evaluate the exponents
9 * d^8
So, we have
9d^8
Hence, the expression is 9d^8
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WILL MARK BRAINIEST!!!
An artist is creating various sizes of stained-glass pieces to fit over windows that have a ratio 3:2 between the height and width. That means that the height of the glass portion can be represented as 3x and the width can be represented as 2x. The wooden trim adds 7 inches to the width and 8 inches to the height.
A: Using the length and width of the window what is the area of the glass portion? Show and explain your work.
B: What is the length and width, of the window and the pane? Show and explain your work.
C: Using the length and width you calculated from Part B, what is the area of the window and the pane? Show and explain your work.
D: What is the area of just the wooden pane? Show and explain work.
A. The area of the glass portion is 6x². B. Length of window and pane is 3x + 8 inches, and Width is 2x + 7 inches. C. Area of the window and pane is 6x² + 23x + 56. D. Area of the wooden pane is 23x + 56 inches².
A: The area of the glass portion can be found by multiplying the length and width of the glass.
Given that the height of the glass portion can be represented as 3x and the width can be represented as 2x, we have:
Area of glass portion = 3x × 2x = 6x²
B: To find the length and width of the window and the pane, we must add the wooden trim to the height and width of the glass portion. The wooden trim adds 7 inches to the width and 8 inches to the height, so we have:
Length of window and pane = 3x + 8 = 3x + 8 inches
Width of window and pane = 2x + 7 = 2x + 7 inches
C: Using the length and width from Part B, we can calculate the area of the window and the pane by multiplying the length and width:
Area of window and pane = (3x + 8) × (2x + 7) = 6x² + 23x + 56
D: To find the area of just the wooden pane, we subtract the area of the glass portion from the area of the window and the pane:
Area of wooden pane = Area of window and pane - Area of glass portion = 6x² + 23x + 56 - 6x² = 23x + 56 inches²
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60 is 5 times as great as 12 write the equation
5x = 60
Step-by-step explanation:Let x be the value of 12. Then, 5 times as great as 12 is 5x.
So, the equation can be written as:
5x = 60
If you wish to undo this:To isolate x, we can divide both sides of the equation by 5:
x = 60/5
⬇️
x = 12
Solve the system by substitution. -3x+3=y -x+3y=29
Answer: x = −2, y= 9
Step-by-step explanation:
Solving for X
-3x+3=y
-x+3y=29
Plug the top equation into the bottom one
-x+3(-3x+3)=29
Distribute
-x - 9x + 9 = 29
combine like terms
-10x + 9 = 29
-10x = 20
Divide the x
x = -2
Solving for Y:
Plug the value x into any of the equations'
-3(-2) + 3 = y
Distribute
6 + 3 = y
y = 9
To check if that is right, plug x into the other equation
-(-2) + 3y = 29
Distribute and combine like terms
2 + 3 y = 29
3y = 27
y = 9
What is the slope of the linear relationship shown on the graph?
A. negative two thirds
B. two thirds
C. negative three halves
D. three halves
Answer:
C. negative three halves
Step-by-step explanation:
Use two points on the line and slope equation to find the slope.
Let the points be (- 4, 4) and (-2, 1).
Then the slope is:
m = (1 - 4)/(-2 - (-4)) = - 3/(-2 + 4) = - 3 / 2This is same as option C.
How to Find a 5 Number Summary:____
Put the numbers in ascending order from smallest to largest, the minimum is the smallest number in the list, The maximum is the largest number in the list, The median is found in the middle of the list and the lower quartile is the median of the first half of the data.
What is meant by number?A number is a numerical unit of measurement and labelling in mathematics.
The natural numbers 1, 2, 3, 4, and so on are the first examples.
Number words are a linguistic way to express numbers.
More commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.
Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.
The Hindu-Arabic numeral system, which enables the depiction of any number using a combination of ten basic numeric symbols, is the most widely used system of numeration.
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