The form of deductive reasoning used in the argument is the law of syllogism.
Deductive reasoning is logical reasoning that entails drawing one or more premises (factual statements) via a logical conclusion.
The Law of detachment asserts that if x → y; and x is true, then y is true.
The Law of syllogism is a type of deductive reasoning that occurs in three forms with a frequent term that occurs in the premise (here: triangle) but not in conclusion.
This is a striking feature that differentiates it from other forms of deductive reasoning.
Therefore, we can conclude that the form of deductive reasoning used in the argument is the law of syllogism.
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It has been estimated that there are 107 billion pieces of mail per year. If the postage rates are raised 2¢, how much extra revenue does that generate?
The extra revenue generated by the mail is $2.14 billion
How to determine the extra revenue generates?From the question, we have the following parameters that can be used in our solution:
Number of mails in a year = 107 billion pieces
Amount generated per mail = 2¢
From the above parameter, we can calculate the total amount generated using the following equation
The total revenue generated by the mail is calculated as
Amount generated = Number of mails in a year x Amount generated per mail
Substitute the known values in the above equation
So, we have the following equation
Amount generated = 107 billion x 2¢
Evaluate the product
Amount generated = 214 billion ¢
Express as dollars
Amount generated = $ 2.14 billion
Hence, the total amount is $2.14 billion
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The estimated cost of mail per year when the rate of postage is raised by 2¢ is
$2.14 * 10^9 = 2.14 billion dollarsHow to calculate the the extra revenue generatedThe problem require conversion of units and multiplication
The extra rate of for raising the postage is given to be 2¢
converting 2¢ to dollars gives $0.02
The rate is used to multiply number o f mails which is 107 billion
107 billion = 107 * 10^9, therefore
107 * 10^9 * 0.02
= 214 * 10^7
= 2.14 * 10^9
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THE DIFFERENCE OF
TWO NUMBERS IS 10,WHILE THEIR PRODUCT IS 39.FIND THESE NUMBERS
The numbers are 13 and 3.
Let the numbers be x and y. Equation representing difference of these numbers-
x - y = 10 : equation 1
Equation representing product of these numbers- x × y = 39 : equation 2
Rewriting the equation 2 in terms of y
y = 39/x : equation 3
Keeping the value of y from equation 3 in equation 1
x - 39/x = 10
Multiplying the equation by x
x² - 39 = 10x
Rearranging the equation
x² - 10x - 39 = 0
Factorising the equation
x² - 13x + 3x - 39 = 0
x(x - 13) +3 (x - 13) = 0
(x + 3) (x - 13) = 0
Value of x = 13 and -3
Taking positive value of x
Keeping value of x in equation 3
x = 13
y = 39/13
y = 3
Hence, the numbers are 13 and 3.
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helppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
first second sum
5 2 7
7 -3 4
-10 6 -4
second picture
D, C, B, A
Step-by-step explanation:
Answer:
Step-by-step explanation:
First second sum
5 2 7
7 -3 4
-10 6 -4
Second question
d,c,a,b
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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Find the area of the grey pathway
52 square metres
Step-by-step explanation:
we can divide the pathway in to 2 parts to find the area
1st part
length = 12m
breadth = 2m
\(area = 12 \times 2 = {24}^{2}m \)
2nd part
length = 16-2 = 14
breadth = 2
area =
\(area = 14 \times 2 = {28}^{2} m\)
atlast add both areas
52 square metres
Answer:
52m²Step-by-step explanation:
find the area of the horizontal rectangle, add it to the vertical rectangle and remove the common part
2 * 16 + 2 * 12 - 2 * 2 =
52m²
Please help! The question is in the image.
Answer:
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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what does the global climate change have to do with mcr
Answer:
Everything bro
Step-by-step explanation:
(03.04 MC) Two pieces of bread, banana and whole wheat, were left out on a kitchen counter and mold began to grow on them. The area of mold growth B(t), in mm2, on the piece of banana bread present after time t weeks, can be represented by the equation B(t) = 20(1.06)t. The area of mold growth W(t), in mm2, present on the piece of whole wheat bread after t weeks is represented in the table. t (in weeks) 1 2 3 4 W(t) (in mm2) 40.8 41.62 42.45 43.30 Which statement best compares the mold growth rates of the banana bread and the whole wheat bread? Question 16 options: The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was twice the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was half the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was a third the mold growth rate of the whole wheat bread.
Answer:
(a) The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread
Step-by-step explanation:
The equation for exponential growth can be written in the form ...
f(t) = a·b^t
where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...
b = 1 +r . . . . . where r is the growth rate in time period t
__
banana breadThe equation for the area of mold on the banana bread is given as ...
B(t) = 20·1.06^t
Comparing to our generic equation, we see ...
a = 20b = 1.06 = 1 + 0.06The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.
__
whole wheat breadWe are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.
W(1) = 40.8 = a·b^1
W(4) = 43.30 = a·b^4
The ratio is ...
W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8
Then the value of b can be found to be ...
b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02
The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.
__
comparison of growth ratesThe mold growth rate on the banana bread compared to that on the whole wheat bread is ...
(banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3
We can conclude ...
The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread
\(9 + \frac{ {8}^{3} }{2}\)
Pls Answer it
Don't understand?
4 3/8 + 5 1/2= in fractions
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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I need it no link no bot right, please
Answer: fifths
Step-by-step explanation:
fifths because you would divide the 3 loves with the amount of people there is.
Classify the triangle by side length and angle measurement
equilateral, acute
isosceles, obtuse
isosceles, acute
scalene, obtuse
Answer:
this triangle seems to be an isosceles, obtuse triangle
What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
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What is the internal angle sum of a polygon with 20 sides?
Answer:
3240 degrees.
Step-by-step explanation:In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.
Decide which ONE of the following statements is FALSE.
A) A line contains at least two points
B) Three non-colinear points determine a plane
C) Through any two distinct points there exists exactly one line
D) Any three points lie on a distinct line
True or False.
A is true, a line has two points which are the two ends.
Answer: Choice D
Any three points lie on a distinct line
=============================================================
Explanation:
Let's go through each statement to see which are true, and which are false.
A) True. A line is uniquely defined by two points. In other words, you need 2 points to form a line.B) True. A plane is a flat surface, such as a table top or a piece of paper. The paper is not allowed to bend or curve. The three points cannot all fall on the same line, hence the "non-colinear" condition put in there. If the 3 points were colinear, then infinitely many planes would go through those points. So we make them non-colinear so a unique single plane can be defined. C) True. See choice A above.D) False. While two points form a single line, that third point may or may not be on that line. If the three points form a single line, then we consider the points colinear. If the points don't all fall on the same line, then we say they are non-colinear. For non-colinear points, a triangle forms. If choice D said "any three colinear points lie on a distinct line", then that statement would be true.Side note: The spelling of "colinear" is sometimes "collinear" with two "L"s, instead of one. I'm not 100% sure which spelling is more acceptable. I've found sources that have used both.
help
I need an answer
The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B
B. III
What is a translation transformation?A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.
The shape of the shaded figure is an L-shape
The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.
The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;
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A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
If a single marble is pulled out of the bag, how many outcomes are in the sample space?
Answer:
10 outcomes
Step-by-step explanation:
The number of outcomes is the number of marbles in the bag since we are taking out one marble
4+2+1+3 = 10
There are 10 outcomes
Answer:
10 Thank you Person above me I knew the answer but I am saying thank you because my cousin is happy that you showed your answer to them and answered for them Have a good day or a good life hopefully life don´t do bad things in life
Step-by-step explanation:
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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how many hundred billions in the number 432,845,979,484
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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please help me asap!!
Answer:
h=6
Step-by-step explanation:
h/8=12/16
16h=96
h=6
En la frutería “Todo barato”, 2 kg de tomates cuesta $ 38.00. ¿Cuánto debe de pagar Karla si compra 9 kg de tomates
Answer: hi
Step-by-step explanation: hi
Sydney has 1 1/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5 yard long. How many bows can Sydney make?
Group of answer choices
2 3/5
3
2 1/5
2
3
Sydney has enough ribbon to make 3 bows
Answer:
3
Step-by-step explanation:
I multiplied 1 1/5 x 2/5 because each bow is made from a piece of ribbon that is 2/5 yards long. 1 1/5 x 2/5 = 12/25 I simplified to get the product of 3.
Help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!) brainliest if correct
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.
Jersey Color Percentage of Players
Yellow 0.45
Blue 0.25
White 0.30
Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).
Answer:
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
Please only answer if you know the answer.
What does FOIL Stand for when multiplying polynomial.
Answer:
F=First
O=Outer
I=Inner
L=Last
Answer:
F = First,
O = Outer,
I = Inner,
L = Last
Step-by-step explanation:
As x approaches positive infinity, which of the following describes the end behavior for
g(x) = -x^6 + bx^4 + c
a. f(x) approaches c
b. f(x) approaches 0
c. f(x) approaches positive infinity
d. f(x) approachesnegative infinity
Answer:
c. hope helpful answer to your question
2. You are going to produce tennis shoes
that come in 3 different colors. In order to
decide how many to make in each color,
you conduct a survey. Of the 300 people
you survey, 75 said that they would
purchase the yellow shoes. If you are
going to make 10,000 pairs of shoes, how
many should be yellow?
Please help thank you
Answer:
Hey there!
\(\frac{75}{300}\)=\(\frac{x}{10000}\)
750000=300x
x=2500
They should make 2500 yellow shoes.
Hope this helps :)
What is the value of the expression shown?
24 − 62
A.-6
B.-12
C.12
Answer:
None
Step-by-step explanation: