The truth value of the statement; If pigs can fly, then 2+5=7 is false.
What is syllogism?The term syllogism has to do with logical reasoning. In this case, the premise must lead to the conclusion. The premise is the basis upon which we could draw the conclusion. The truth value of the premise is what determines the truth value of the conclusion as one naturally follows from the other.
Now, in this case we have a conditional statement. Recall that a conditional statement is an if – then statement. The truth value of the premise has an impact on the truth value of the conclusion. We have the statement written in the manner; If pigs can fly, then 2+5=7 .
We know that pigs can not fly. This is a false premise. However, the conclusion that has been given is true by the principle of addition in mathematics. The truth value of the statement is false.
An example of a truth value in which both the premise and the conclusion are true is; If lions are wild animals then lions are one of the animals found in the forest.
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7/6 + 2/3y = 4/3 how i can solve this equation
Using basic arithmetic operation, the solution to the equation 7/6 + 2/3y = 4/3 is y = 3/4.
What is the basic arithmetic operation?
The four basic mathematical operations are Addition, subtraction, multiplication, and division.
To solve this equation for y, we need to isolate the variable y on one side of the equation. We can do this by performing algebraic operations to simplify the equation. Here are the steps:
Subtract 7/6 from both sides:
7/6 + 2/3y - 7/6 = 4/3 - 7/6
2/3y = 1/2
Multiply both sides by the reciprocal of 2/3:
(3/2)(2/3y) = (3/2)(1/2)
y = 3/4
Hence, the solution to the equation 7/6 + 2/3y = 4/3 is y = 3/4.
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Use the diagram below to identify the type of figure. Make sure you use the proper notation.
A. Center (of small circle)____
B. Radius (of large circle that is not part of a diameter)____
C. Secant____
D. Common Tangent____
E. Chord (from large circle)____
F. Point of Tangency___
G. Diameter (of large circle___
The proper notation for each parts of the circle are:
A. point F B. segment CB C. Secant AB D. Tangent BD E. segment AB F. point B G. segment AE.
What is the Radius, the Secant, and the Tangent of a Circle?The radius of a circle represents the distance from the center to any point on its boundary, while a secant is a line that intersects the circle at two separate points.
A tangent is a line that makes contact with the circle at a single point, called the point of tangency.
Thus, we have:
A. Center of the small circle is: F
B. The radius of the large circle that is not part of a diameter is: CB
C. A Secant is: AB
D. A common Tangent is: BD
E. One chord from the large circle is: AB
F. A Point of Tangency = point B
G. Diameter of the large circle is: AE
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identify the trangle
Answer:
Scalene Obtuse
Answer:
It's a isosceles right.
I did that b4
What is x? 4^x= 1/64
Answer: x= -3
Step-by-step explanation:
You would use the formulas b^x=y <----> log∨b(y)=x
b=4
x=?
y=1/64
Plug in:
log(∨4)(1/64)= x
then you use...
log(y)/log(b)=x
log(1/64)/log(4)
plug into calculator and you would get -3 for x
hope that helps :)
The Barga School frows lettuce and other vegies for school lunches. The school garden is 8. 4 meters long and 6. 4 meters wide. The section used to grow lettuce is 2. 2 meters long and 0. 8 meters wide. How many square meters of ground does the garden cover. How many square meters of the garden is used to grow lettuce?
The garden that is not used to grow lettuce is 52 square meters.
The school garden's length = 8.4 meters
The school garden's wide = 6.4 meters
The section used to grow lettuce = Length = 2.2 meters
The section used to grow lettuce = Width = 0.8 meters
One of the quadrilateral shapes in which all four angles are right angles or equal to 90 degrees is the rectangle. It is a polygon with four sides whose opposing sides are parallel and equal to one another.
Calculating the area of the garden that is not used to grow lettuce -
= 8.4 x 6.4 - 2.2 x 0.8
= 53.76 - 1.76
= 52
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Orders of operation Practice
(5^2+)x2-12
How much Pure alcohol must a pharamacist add to 10cm cubed of a 8% alcohol solution to strengthen it to a 80% solution
The amount of Pure alcohol must a pharamacist add to 10cm cubed of a 8% alcohol solution to strengthen it to a 80% solution is 36 cm³.
Alcohol, also known as ethanol is a clear, colorless liquid that is produced by the fermentation of sugars and carbohydrates by yeasts.
Let's start by writing down the equation that relates the amount of alcohol in the original 8% solution to the amount of alcohol in the final 80% solution:
0.08x(10 +x)
Here, x represents the amount of pure alcohol that we need to add to the 10 cm³ of 8% solution to obtain the desired 80% solution.
The left-hand side of the equation represents the amount of alcohol in the original solution (which is 8% alcohol), while the right-hand side represents the amount of alcohol in the final solution (which is 80% alcohol).
Now we can solve for x:
0.08 x (10 + x) = 0.08x(10+x)
0.2x = 7.2
x = 36 cm³.
Therefore, the pharmacist must add of pure alcohol to the of 8% alcohol solution to obtain an 80% alcohol solution.
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Work out m and c for the line: 3y + 6x = − 3
Step-by-step explanation:
given
3y + 6x = - 3
writing in slope intercept form y = mx + c
3y = - 3 - 6x
y = -3/3 - 6x /3
y = - 1 - 2x
y = -2x - 1
m = - 2
c = - 1
Hope it will help :)
Rewrite \(\frac{200x - 300}{x}\) as a sum of two fractions, and simplify.
Answer:
We can rewrite this as \(\frac{200x}{x} + \frac{-300}{x}\).
\(\frac{200x}{x}\) simplifies to 200 after eliminating x from the numerator and denominator and \(\frac{-300}{x}\) becomes \(-\frac{300}{x}\) so the final answer is \(200 - \frac{300}{x}\).
If you move 50.0 meters in 10.0 seconds, what is your speed
Answer:
5 m/s
Step-by-step explanation:
The equation for speed is distance/time. The distance given is 50 meters. The time given is 10 minutes. 50/10 is 5. 5 meters per second is your speed.
Given the equation 5(x+2) = 5x+10 solve for the variable. Explain each step and justify your process.
Answer:
x = 9
Step-by-step explanation:
5(x+2) = 5x+1
Our main goal is to get our variables on one side and our numbers on the other. Then we can find solve the variable. If we follow PEMDAS (parenthesis, exponents, multiplication, division, addition, and subtraction) we can follow the steps to solve it correctly.
First, we examine our parenthesis, but since we can't do anything, we move on to multiplication, since no exponents are present.
5(x+2) = 5x+10
5x+10 = 5x+1
Now we solve our addition, we move our numbers on one side and our variables on the other. To do this, we instead subtract our numbers from each other, since they are all positive.
10-1 = 9
5x+9 = 5x
5x-5x = x
9 = x
Regards!
Kelly wants to fence in a rectangular space in her yard, 6 meters (length) by 10.5 meters (width). the salesperson at the supply store recommends that she put up posts every 1.5 meters. the posts cost $2.69 each. kelly will also need to buy wire mesh to string between the posts. the wire mesh is sold by the meter from large rolls and costs $5.96 a meter. a gate to fit in one of the spaces between the posts costs $25.39. seven staples are needed to attach the wire mesh to each post. staples come in boxes of 50, and each box costs $3.99. how much will the materials cost before sales tax?
The total materials cost before sales tax is $297.21.
How the total materials cost is determined:The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.
The length of the rectangular space = 6 meters
The width of the space = 10.5 meters'
The perimeter of the space = 33 meters [2(6 + 10.5)]
The space between posts = 1.5 meters
The number of posts = 22 (33 ÷ 1.5)
The cost per post = $2.69
a) The cost of the posts = $59.18 ($2.69 x 22)
The cost of wire mesh:
Cost per meter = $5.96
The number of meters of wire mesh = 33 meters
b) Total cost of the wire mesh = $196.68 ($5.96 x 33)
c) Cost of the gate = $25.39
Cost of Staples:
The number of staples per post = 7
The total number of staples required = 154 (22 x 7)
The number of boxes of staples = 4
The cost per box = $3.99
d) The total cost of staples = $15.96 (4 x $3.99)
The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)
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a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
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Help me plz!!!!!!!!!!!
Answer:
40 in^3
Step-by-step explanation:
5 x 4 x 2 = 20 x 2 = 40
2. and 100 are a zero pair.jia
Answer:
More information please
Step-by-step explanation:
There is not enough information to complete the equation.
The correlation coefficient r between the values assumed by two variables, X
and Y is .75, the standard deviations of X and Y are Sx=1.88 and Sy=2.45
respectively, and the point (13, 9) is on the line of best fit.
A. Find the slope of the line of best fit to the raw-score scatterplot.
B. Find the equation of the line of best fit.
C. Find y given that . x = 12
The slope of the line of best fit to the raw-score scatter plot is 0.98
The equation is y = 0.98x - 3.74The value of y given that x = 12 is 8.02How to determine the slope of the line?From the question, we have the following parameters that can be used in our computation:
Standard deviations of X, Sx = 1.88Standard deviations of Y, Sy =2.45Correlation coefficient, r between X and Y = 0.75The slope (b) of the line is calculated as
b = r * Sy/Sx
Substitute the known values in the above equation, so, we have the following representation
b = 0.75 * 2.45/1.88
Evaluate
b = 0.98
The equation of the line of best fitA linear equation is represented as
y = bx + c
Where
Slope = b
y-intercept = c
In (a), we have
b = 0.98
So, we have
y = 0.98x + c
Recall that the point (13, 9) is on the line of best fit.
So, we have
9 = 0.98 * 13 + c
This gives
9 = 12.74 + c
Evaluate
c = -3.74
So, we have
y = 0.98x - 3.74
The value of y from xHere, we have
x = 12
So, we have
y = 0.98 x 12 - 3.74
Evaluate
y = 8.02
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Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13
1313 cinder cone volcanoes, 18
1818 shield volcanoes, and 6
66 stratovolcanoes.
Use the observed frequencies to create a probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study.
Input your answers as fractions or as decimals rounded to the nearest hundredth.
The probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately 36.1% for cinder cone volcanoes, 50.0% for shield volcanoes, and 13.9% for stratovolcanoes based on the observed frequencies.
To create a probability model based on the observed frequencies, we need to calculate the probabilities of selecting each type of volcano. This can be done by dividing the frequency of each type of volcano by the total number of volcanoes observed.
Let's calculate the probabilities for each type of volcano:
Cinder cone volcanoes:
Probability = Frequency of cinder cone volcanoes / Total number of volcanoes observed
= 13 / (13 + 18 + 6)
≈ 0.361 or 36.1%
Shield volcanoes:
Probability = Frequency of shield volcanoes / Total number of volcanoes observed
= 18 / (13 + 18 + 6)
≈ 0.500 or 50.0%
Stratovolcanoes:
Probability = Frequency of stratovolcanoes / Total number of volcanoes observed
= 6 / (13 + 18 + 6)
≈ 0.139 or 13.9%
Therefore, the probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately:
- Cinder cone volcanoes: 36.1%
- Shield volcanoes: 50.0%
- Stratovolcanoes: 13.9%
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All the DJ’s that Marie interviewed for the party charged a flat fee for supplies and then charged per hour. One DJ was going to charge $200 for travel and music and then $10 per hour. The other DJ was going to charge $150 and then $15 per hour. How many hours would both DJ’s be the same price and what is that price?
You want to join a new pool. Beckett Pool charges a $90 membership fee and $25 per month. Lakota Hills Pool charges a $45 membership fee and $40 per month. After how many months is the total cost the same at both pools?
Answer:
3
Step-by-step explanation:
if m is the number of months
Beckett: 90 + 25m
Lakota Hills 45 + 40m
so 90 + 25m = 45 + 40m
40m - 25 = 90 - 45
15m = 45
m = 45/15 = 3
What is the value of the expression below when n = 1.5?
Answer:
Sorry, you didn't attach the expression.
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Simplify:
5(1.5)+(20+1.5)
= 7.5 + 21.5
= 29
HOPE THIS HELPS!! <333
-Silver
A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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Find a parameterization for the curve y=4-8x3^ that passes through the point (0,4,2) when t=0 and is parallel to the xy-plane.
The parameterization for the curve that satisfies the given conditions is:
x = (-ct)^(1/3) / 2^(1/3), y = 4 + ct, z = 0.
To find a parameterization for the curve that satisfies the given conditions, we need to express the equation of the curve in vector form. Let's define the vector function r(t) = ⟨x(t), y(t), z(t)⟩, where t is the parameter.
Since the curve is parallel to the xy-plane, we know that the z-coordinate of any point on the curve is 0. Therefore, we have z(t) = 0.
We also know that the curve passes through the point (0, 4, 2) when t = 0. Therefore, we have x(0) = 0, y(0) = 4, and z(0) = 2.
Now we just need to find an expression for x(t) and y(t) that satisfies the equation of the curve y = 4 - 8x³.
We can rewrite this equation as x³ = (4 - y)/8 and take the cube root of both sides to get:
x = (4 - y)^(1/3) / 2^(1/3)
Substituting this expression into our vector function, we get:
r(t) = ⟨(4 - y(t))^(1/3) / 2^(1/3), y(t), 0⟩
Now we just need to find an expression for y(t) that satisfies the initial conditions. Since y(0) = 4, we can take y(t) = 4 + ct, where c is a constant. This gives us:
r(t) = ⟨(4 - (4 + ct))^(1/3) / 2^(1/3), 4 + ct, 0⟩
Simplifying, we get:
r(t) = ⟨(-ct)^(1/3) / 2^(1/3), 4 + ct, 0⟩
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pls help me with thid
The newborn death rate is calculated by dividing the number of newborn deaths by _____ and multiplying by 100.
The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.
The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.
This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.
The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.
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Use a property of addition to enter an equivalent expression for the following question:
Add 9 to the sum of 21 and 6.
The expression of the statement is 9 + 21 + 6 and the value is 36
How to determine the equivalent expression for the question?From the question, the mathematical statement is given as
Add 9 to the sum of 21 and 6.
To take the sum of numbers means that we add the numbers
So, we have
Add 9 to the sum of 21 and 6 ⇒ Add 9 to 21 + 6
Solving further, we have
Add 9 to the sum of 21 and 6 ⇒ 9 + 21 + 6
When the expression is solved, we have
9 + 21 + 6 = 36
Hence, the expression is 9 + 21 + 6
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The temperature in Minneapolis at 9 a.m. was −8°F. By noon, the temperature had risen by 8°F.
What was the temperature at noon?
Answer: 0
Add the number 8 to -8, because 8 is how much the temperature rose.
-8 + 8 = 0.
The temperature in Minneapolis is now 0 Fahrenheit.
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A fair 6 sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?.
Answer: each time you roll a 6-sided die is 1/6 percent to get any number
Step-by-step explanation:
1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)
Answer:
orientation is preserved (stays the same)
Step-by-step explanation:
Cronbach's alpha indicates to what extent scale items are correlated to each other?
True
False
False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.
It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.
Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.
Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.
While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.
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Kendrick wants to build a slide for his sons. The height of the stairs is 5 feet. The base of the slide will be 6 feet from the bottom of the stairs. If he wants to build two slides so that each of his sons has their own, how many feet of plastic will he need? Round to the nearest tenth.
Answer:
Step-by-step explanation:
5^2 + x^2 = 8^2
25 + x^2 = 64
x = 6.2