In the method of proof, the rules are not used jointly but are applied one at a time and once per line. Group of answer choices True False
Answers
The given statement "In the method of proof, the rules are not used jointly but are applied one at a time and once per line" is True.
In a proof, each step must be justified by a logical rule or principle. These rules are not applied all at once, but rather one at a time and in a specific order. This allows for a clear and organized progression of the proof, and ensures that each step is based on a sound and valid reasoning.
For example, in a proof by contradiction, we assume the opposite of what we want to prove and then show that this assumption leads to a contradiction. In each step of the proof, we apply a logical rule or principle, such as the law of non-contradiction or the transitive property of equality.
By applying the rules one at a time and once per line, we can carefully follow the logical reasoning and ensure that the proof is valid. If we were to apply multiple rules at once or skip steps, the proof could become muddled and the validity of the argument could be called into question. Therefore, it is important to use the rules of logic in a methodical and systematic way when constructing a proof.
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Related Questions
Multiply and simplify the following complex numbers:
(1+i). (3 – 5i)
Answers
Answer:
-2i+8
Step-by-step explanation:
(1+i)(3-5i)
3+3i-5i-5i^2
3-2i-5(-1), because i^2=-1,
3-2i+5
-2i+3+5
-2i+8
2x+7=5y-9
please help very urgent ik very lost :,)
Answers
Answer:
5/2y - 8
Step-by-step explanation:
Step 1: Add -7 to both sides.
2x+7+−7=5y−9+−72x=5y−16
Step 2: Divide both sides by 2.
2x2=5y−162x=52y−8
Answer:
too lazy to do the math but yk
Step-by-step explanation:
ok so first you wanna make sure you isolate variables, to find x you get
2x+7=5y-9
2x=5y-2
x=(5y-2)/2
plug that into the equation, then you get the y value, which you can put into the equation again (by equation i mean 2x+7=5y-9)
then you have both x and y
What is the unit price of a 32-ounce box of brown sugar that
costs $38.4?
A) $19.20 per ounce
B) $1.20 per ounce
C) $38.40 per pound
D) $76.800 per pound
E) $1.20 per pound
Answers
The unit price of a 32-ounce box of brown sugar that costs $38.4 is $1.20 per ounce. Option B) is correct .
To find the unit price of a 32-ounce box of brown sugar that costs $38.4, We need to divide the total cost by the number of ounces in the box.
This will give you the cost per ounce.
Given, a 32-ounce box of brown sugar costs $38.4Unit price is defined as the cost per unit of the item.
To find the unit price of brown sugar,
Divide the total cost by the number of ounces in the box.
Total cost = $38.4
Number of ounces = 32Unit price = $38.4/32Unit price = $1.20 per ounce
Therefore, the unit price of a 32-ounce box of brown sugar that costs $38.4 is $1.20 per ounce. Hence, Option B) is correct .
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One day your mother buys 20 apples. Your family eats 3 apples per day, so the number of apples you have after 5 days is 20-3\times 5. How many apples will you have after 5 days?
Answers
The number of apples you will have after 5 days is 5.
Given that, One day your mother buys 20 apples. Your family eats 3 apples per day.
So the number of apples you have after 5 days is 20-3×5.
= 20-15
= 5
Therefore, the number of apples you will have after 5 days is 5.
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A cup of green tea contains 49 mg of caffeine when you are using the tea leaves for the first time. a cup from the second brew contains 18 mg of caffeine, while a cup from the third brew contains only 5 mg of caffeine. caffeine leaves the body at a continuous rate of about 17% per hour. does the initial amount of caffeine in the body (whether from the first, second or third brew) change the differential equation
Answers
The initial amount of caffeine in the body does not change the differential equation describing its elimination. The rate of elimination of caffeine remains constant at approximately 17% per hour, regardless of the initial amount.
However, the initial amount of caffeine will affect the starting value or initial condition of the differential equation. The initial condition determines the specific solution to the differential equation for a given initial amount of caffeine.
In this case, the initial condition will vary depending on whether the first, second, or third brew is consumed. The differential equation itself will remain the same, but the initial condition will differ based on the initial amount of caffeine in the body.
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-4 1/2 + 3 1/4 What is the sum and where would it be plotted on the number line
Answers
Answer:
it will be plotted in between -1 and -2. (if you would've shown a number line, i could've helped more)
Step-by-step explanation:
4 1/2 - 3 1/4=1 1/4
then make it negative again and you get -1 1/4
On Mercury, you weigh 2 pounds for every 5 pounds you weigh on Earth. You weigh 135 pounds on Earth. How much do you weigh on Mercury?
Answers
Answer:
54 pounds
Step-by-step explanation:
135/5 = 27
27x2 = 54
Answer:
You'd weigh 54 pounds on Mercury.
Step-by-step explanation:
Make a proportion or table. For instance:
2/5 -> x/135
Cross Multiply:
5 * x = 2 * 135
(5x = 270)1/5
x=54
HELP PLS WILL GIVE BRAINLISTE
Answers
Answer:
1. h
2. c
Step-by-step explanation:
Answer:
G for the first one and c for the second one
Step-by-step explanation:
an integer is a whole number
Can someone help me with this (Geometry)
Answers
Step-by-step explanation:
The equation needed to solve this question is 5x+10+5x+11=141
A sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays exponentially over time. A measurement in the year 1998 found that the sample's mass had decayed to 240 mg. What would be the expected mass of the sample in the year 2005, to the nearest whole number?
Answers
The expected mass of the sample in the year 2005, to the nearest whole number is 45 mg.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
The general form of exponential decays is given as,
y = y₀\(e^{-kt}\) here y₀ is the initial mass k is constant while t is the number of years.
As per the given,
Initial mass y₀ = 490 mg
Apply the formula for the year 1998,
t = 1998 - 1995 = 3, y = 240 mg
240 = 490\(e^{-k\times3}\)
\(e^{-k\times3}\) = 24/49
Take natural logs on both sides
ln\(e^{-k\times3}\) = ln(24/49)
-3k = -0.713766467
k = 0.23792215
Therefore, the formula becomes,
y = y₀\(e^{-0.23792215t}\)
The mass in the year 2005
t = 2005 - 1995 = 10
y = 490e^(-2.3792215)
y = 45.35 mg to the nearest whole number.
y = 43 mg.
Hence "The expected mass of the sample in the year 2005, to the nearest whole number is 45 mg".
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fhe measures of the angles of a triangle are shown below. find the value of x.
Answers
The measure of three angles are : x, 60 & 100
Sum of all angles in a triangle is 180 degree
So, x + 60 + 100 = 180
x + 160 = 180
x = 180 -160
x = 20
Answer : x = 20
54+54788347589535222
Answers
Answer:
54788347589535276
Step-by-step explanation:
you simply add the given values...
The iterative process below can be used to find
approximate solutions to x³ - 5x² - 12 = 0 to 2 d.p.
5, use the iterative process to find an
approximate solution to x³ - 5x² - 12 = 0.
Give your answer to 2 d.p.
Step 1: Start with a value of x
Starting with x
=
12
Step 2: Find the value of 5 + x²
Step 3: Round your answer to Step 2 and the value of x
to 2 d.p.
If they are the same, then stop. You have found an
approximate solution.
If not, then go back to Step 1, using your exact answer to
Step 2 as the new value for x.
Answers
Using the given iterative process, starting with x = 12 and finding the value of 5 + x², rounding both values to 2 decimal places, we repeat the process until the rounded value of 5 + x² matches the rounded value of x, and the approximate solution of equation to x³ - 5x² - 12 = 0 is found.
To find an approximate solution to the equation x³ - 5x² - 12 = 0 using the iterative process, we will follow the given steps.
Start with a value of x = 12.
Find the value of 5 + x².
Substituting x = 12 into the equation, we get 5 + (12)² = 149.
Round the answer from Step 2 and the value of x to 2 decimal places.
Rounding 149 to 2 decimal places gives us 149.00.
Since x = 12.00 already has 2 decimal places, there is no need to round it further.
Now we check if the rounded values are the same.
In this case, 149.00 is not the same as 12.00.
Since the values are not the same, we go back to Step 1 using the exact answer from Step 2, which is x = 149.
Repeat the process:
Start with a value of x = 149.
Find the value of 5 + x².
Substituting x = 149 into the equation, we get 5 + (149)² = 22206.
Round the answer from Step 2 and the value of x to 2 decimal places.
Rounding 22206 to 2 decimal places gives us 22206.00.
Since x = 149.00 already has 2 decimal places, there is no need to round it further.
Again, we check if the rounded values are the same. In this case, 22206.00 is not the same as 149.00.
We continue this iterative process until we find a rounded value for x that is the same as the rounded value of 5 + x².
Note that the iterative process described here may not converge to a solution or may converge to a solution that is not accurate to 2 decimal places.
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A vertical line be written in form what called
Answers
The equation of the vertical line passing through the point (3,0) is x = 3. This means that all the points on the line have an x-coordinate equal to 3, and can have any y-coordinate.
"x = constant," where "constant" is the x-coordinate of any position on the line, is how a vertical line is expressed. All locations on the Cartesian plane with x-coordinates equal to the constant value and any y-coordinate are represented by the equation x = constant.
For instance, x = 3 is the equation for the vertical line going through the coordinates (3, 0). As a result, any y-coordinate is possible at any place along the line, and every point's x-coordinate is equal to 3.
A vertical line is a line that runs perpendicular to the Y-axis in a coordinate field. It runs in a straight path from top to bottom and vice versa. The x-coordinate at every location along this line will be equal.
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5. The measure of the second angle of a triangle is 20 more than the measure of the first, and the measure of the third angle is 10 less than three times the first. What is the measure of each of the three angles of a triangle?
Answers
So first we have to find equation form angles.
Let :-first angle of triangle be xPart one :-Statement :- The measure of the second angle of a triangle is 20 more than the measure of the first.
Equation :-
second angle = 20 + x
{ Remember people get's confused when to multiply and when to add. when ever there "more than" then we will add and when there is ,"times" we will multiply}
Part 2 :-Statement :-
the third angle is 10 less than three times the first
Now just see first less means we have to subtract 10 from 3 times the first means 3 × first angle.
Equation :-
third angle = 3x - 10
Part 3 :-Now let's represent :-
First angle be ∠1Second angle be ∠2third angle be ∠3We know sum of angles of triangle is equal to 180°
So :-
∠ 1 + ∠ 2 + ∠ 3 = 180°x + 3x - 10 + 20 + x = 180°4x - 10 + 20 + x = 180°5x - 10 + 20 = 180°5x + 10 = 180°5x = 180° - 10°5x = 170x = 170/5x = 34°Measure of angles :-
∠1 = x∠ 1 = 34°∠2 = 20 + x∠2 = 20 + 34°∠2 = 54°∠3 = 3x - 10∠3 = 3 × 34 - 10∠3 = 102 - 10∠3 = 92°\(\bold{\huge{\underline{ Solution }}}\)
Given :-We have given in the question that, The measure of second angle is 20 more than the measure of first angle The measure of third angle is 10 less than three times the first. To Find :- We have to find the measure of all the three angles of triangle. Let's Begin :-Let the first angle be x
According to the question,
Second angle = x + 20[ 2nd angle is 20 more than the first angle ]
Third angle = 3x - 10[ 3rd angle is 10 less than thrice times the first angle ]
By using Angle sum property
It states that the sum of the angles of triangles are equal to 180°That is,
\(\sf{ x + ( x + 20) + ( 3x - 10) = 180{\degree}}\)
\(\sf{ x + x + 20 + 3x - 10 = 180{\degree}}\)
\(\sf{ 5x + 10 = 180{\degree}}\)
\(\sf{ 5x = 180 - 10}\)
\(\sf{ 5x = 170}\)
\(\sf{ x = }{\sf{\dfrac{ 170}{5}}}\)
\(\sf{ x = }{\sf{\cancel{\dfrac{ 170}{5}}}}\)
\(\bold{ x = 34{\degree}}\)
Thus,
The first angle is 34°The second angle \(\sf{ = 34 + 20}\)\(\bold{ = 54{\degree}}\)The third angle \(\sf{ = 3(34 ) - 10}\)\(\sf{ = 102 - 10}\)\(\bold{ = 92 {\degree}}\)Hence, The three angles of the given triangle are 34° , 54° and 92°
\(\bold{\huge{\underline{ Verification }}}\)
Here, we have
The first angle = 34°The second angle = 54°The third angle = 92°By using Angle sum property :-
\(\sf{ 34 + 54 + 92 = 180{\degree}}\)
\(\sf{ 88 + 92 = 180{\degree}}\)
\(\sf{ 180 = 180{\degree}}\)
\(\bold{ LHS = RHS }\)
Hence, Verified
I’m confused someone explain please
Answers
Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answers
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
What is the value of the expression 72 – 42?
Answers
Answer:
30
Step-by-step explanation:
Answer:
72-42=30
the correct answer is 30
(((((can you give me the crown please i need a crown)))))
The following list shows how many brothers and sisters some students have: 3, 4, 3, 5, 6, 2, 5, 4, 5, 4, 6, 5, 3 State the mode.
Answers
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Answers
Answer: $4
Step-by-step explanation:
If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4
Answer:
$4
Step-by-step explanation:
divide 8 by two
to find the price of one prego pasta divide the cost of your object by the amount of objects
Describe a normally distributed phenomena using standard nomenclature.
Answers
In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
A normally distributed phenomenon using standard nomenclature can be described as follows:
A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).
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The concept that a message gives different meanings to different objects is called _____.
a. ​encapsulation
b. ​polymorphism
c. ​linear addressing
d. ​dynamic addressing
Answers
The concept that a message gives different meanings to different objects is called option (b) polymorphism.
Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.
This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.
Therefore, the correct option is (b) polymorphism
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72 = 8(v − 86)
please help me !! i hate ixl lol
Answers
Hey! Your answer would be V=95
the use of a ""thumbs-up"" gesture to symbolize the statement ""good luck""
Answers
The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.
It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!
The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:
1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.
By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.
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find the length of the arc on a circle of radius r intercepted by a central angle θ
Answers
The length of the arc on a circle of radius r intercepted by a central angle θ is about 67.02 inches.
What is length of arc?
The distance between two places in a curve's section is known as the arc length. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.
A circle has circumference 2πr.
240° is 240/360 of a circle or
24/36 = 6/9
= 2/3 of the circle
The arc is 2/3 of 2πr
= 2/3 x 2pi x 16 inches
General formula for the length of an arc is -
Arc Length = θ × r, with θ in radians 240 degrees
= 4π/3 radians
Arc = 4pi/3 x 16
= 64pi/3
= about 67.02 inches
Therefore, the length of arc is about 67.02 inches.
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Helppp mehhhh please!!!!!!!! :)
Answers
Answer:I think it is 82.5
Step-by-step explanation:
Answer:
82.5
Step-by-step explanation:
2 hours= $165
1 hour= 2 hours/ 2.
so 1 hour of pay= 165/2= 82.5
Someone, please help me with this asap! And no links or weird answers, please!
Instructions: Use the square root property to solve the problem in the picture below.
Answers
Answer:
\(b = 4\)
Step-by-step explanation:
subtract by 5 on both sides. ur left with
\( {b}^{2} = 16\)
square root b and 16. the square root cancels out b squared. find the square root of 16. the square root of 16 is 4
Your friends and you notice a classmate who always has brand new clothes, shoes, and electronics. What would you need to know in order to tell if this classmate’s family is actually wealthy?
Answers
To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.
What is an asset?In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.
Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.
In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.
The asset should more than the debt.
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Suppose that the daily miles driven by a trucking company is normally distributed with a mean of 330 miles and a standard deviation of 115 miles. One day a randomly selected driver drives 580 miles. (a) Calculate the Z-score corresponding to x=580 miles. (b) What is the probability of a driving 580 or more miles? (c) What is the probability of driving between 250 and 580 miles? 2. The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute. Using the data given below apply a one way ANOVA test at 0.05 significant level. ANOVA Test Table: (a) Calculate the effect size with ANOVA, η2 (Eta squared). (b) Fill in the calculated values in the ANOVA test table. (c) Writeup APA format results.
Answers
(a) Z-score for x=580 miles ≈ 2.30.
(b) Probability of driving 580+ miles ≈ 0.0107 or 1.07%.
(c) Probability of driving between 250 and 580 miles ≈ 0.7840 or 78.40%.
(a) To calculate the Z-score, we use the formula Z = (x - mean) / standard deviation. Plugging in the values, we have Z = (580 - 330) / 115 ≈ 2.30.
(b) To find the probability of driving 580 or more miles, we calculate the area under the normal distribution curve to the right of the Z-score. This can be done using a Z-table or a calculator. The probability is approximately 0.0107 or 1.07%.
(c) To find the probability of driving between 250 and 580 miles, we calculate the area under the normal distribution curve between the Z-scores corresponding to those values. Again, using a Z-table or calculator, the probability is approximately 0.7840 or 78.40%.
For the second part of the question, ANOVA (Analysis of Variance) is conducted to compare the means of three or more groups. However, the provided information does not include the data for the assembly-line task times or the calculated values for the ANOVA test table. Without this data, it is not possible to perform the ANOVA test or calculate the effect size (η2) or fill in the ANOVA test table. Additionally, the instructions for writing up the APA format results are not provided.
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The total cost of online streaming is proportional to the number of months. What is the constant of proportionality
Answers
The constant of proportionality is the constant value between two or more proportional quantities.
What is constant of proportionality ?Constant of proportionality is the constant value between two or more proportional quantities.There are two types of proportionality one is direct proportion where increase in one quantity results in increase of another quantity and the other in inverse proportion where increase in one quantity results in decrease in another quantity.
According to the given question
The total cost of online streaming is proportional to the number of months.
The constant of proportionality here is the cost and here number of months and cost are directly proportional means as the no. of months increases the cost will also increase.
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