Suppoe the domain of the propoitional functionP (x, y) conit of pair x and y, where x i 1, 2, or 3 and y i 1, 2, or 3. Write out thee propoition uing dijunction and conjunction. A) ∀x∀yP (x, y) b) ∃x∃yP (x, y) c) ∃x∀yP (x, y) d) ∀y∃xP (x, y)
Answers
These are the preposition for the given conditions:
(P(1,1) ∧ P(1,2) ∧ P(1,3)) ∧ (P(2,1) ∧ P(2,2) ∧ P(2,3)) ∧ (P(3,1) ∧ P(3,2) ∧ P(3,3)).
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∨ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∨ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∧ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∧ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
(P(1,1) ∧ P(1,2) ∧ P(1,3)) v (P(2,1) ∧ P(2,2) ∧ P(2,3)) v (P(3,1) ∧ P(3,2) ∧ P(3,3)).
The domain of the propositional P(x, y) consists of pairs x and y, where x is 1, 2, 3 and y is 1, 2, 3.
What are the disjunction and conjunction?
In logic functions, there are two kinds of compound statements. These are referred to as conjunction and disjunction. A conjunction implies that both statements are correct, whereas a disjunction implies that at least one of the statements is correct. A conjunction connects statements with the word "and," whereas a disjunction connects statements with the word "or."
By using disjunction and conjunction we get,
a) ∀x∀y P(x, y) is written as:
(P(1,1) ∧ P(1,2) ∧ P(1,3)) ∧ (P(2,1) ∧ P(2,2) ∧ P(2,3)) ∧ (P(3,1) ∧ P(3,2) ∧ P(3,3)).
b) ∃x ∃y P (x, y) is written as:
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∨ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∨ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
c) ∃x∀y P(x, y) is written as:
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∧ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∧ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
d) ∀y∃x P(x, y) is written as:
(P(1,1) ∧ P(1,2) ∧ P(1,3)) v (P(2,1) ∧ P(2,2) ∧ P(2,3)) v (P(3,1) ∧ P(3,2) ∧ P(3,3)).
Hence, these are the preposition for the given conditions:
(P(1,1) ∧ P(1,2) ∧ P(1,3)) ∧ (P(2,1) ∧ P(2,2) ∧ P(2,3)) ∧ (P(3,1) ∧ P(3,2) ∧ P(3,3)).
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∨ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∨ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
(P(1,1) ∨ P(1,2) ∨ P(1,3)) ∧ (P(2,1) ∨ P(2,2) ∨ P(2,3)) ∧ (P(3,1) ∨ P(3,2) ∨ P(3,3)).
(P(1,1) ∧ P(1,2) ∧ P(1,3)) v (P(2,1) ∧ P(2,2) ∧ P(2,3)) v (P(3,1) ∧ P(3,2) ∧ P(3,3)).
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Related Questions
a 400 foot tall monument is located in the distance from a window in a building a perso ndetermines the angle of elevation to the top of the monument is 18 and thed angle of depresison to the bottom of the monument is 3. how far is the person from the monument
Answers
The person is approximately 1233.35 feet from the monument
Let's call the distance from the person to the monument "x". We can use basic trigonometry to solve this problem.
From the person's point of view, the monument appears as a right triangle with the monument's height (400 feet) as the opposite side and "x" as the adjacent side. The angle of elevation (from the person to the top of the monument) is 18 degrees, which is the angle opposite the opposite side (the monument's height). So we can use the tangent function to find "x":
tan(18) = opposite / adjacent
tan(18) = 400 / x
x = 400 / tan(18)
x ≈ 1233.35 feet
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Are the ratios 5:3 and 20:12 equivalent
Answers
Answer:
yes
Step-by-step explanation:
5x4=20
3x4=12
they are equivalent as they are both being multiplied by the same number (4)
Answer:
They are equal
Step-by-step explanation:
Think of a ratio of two numbers like a fraction. 3:5 is like 3/5.
Ratios may be reduced like fractions may be reduced. So, is 3/5 = 12/20
3/5 = 0.6
12/20 = 0.6
Latesha’s mother puts $85 in Latesha’s lunch account at school. Each day Latesha uses $3 from her account for lunch. The table below represents this situation. Latesha’s Lunch Account Day Amount Left in Account ($) 0 $85 1 2 3 4 5 How much is left in Latesha’s lunch account after she has had lunch for 5 days? $15 $67 $70 $82
Answers
Answer: it 70
Step-by-step explanation:
Latesha’s mother puts $85 in Latesha’s lunch account at school. Each day Latesha uses $3 from her account for lunch. The table below represents this situation.
How much is left in Latesha’s lunch account after she has had lunch for 5 days?
$15
$67
$70 is correct$82
you tube guests are for hire
find the radius of the circle in which the given central angle intercepts an arc of the given length s.
Answers
The radius of the circle is 10 cm.
To find the radius of the circle in which the given central angle intercepts an arc of the given length s, we can use the formula given below:
\(r=\frac{s}{2\sin\frac{\theta}{2}}\)
where r is the radius of the circle,s is the length of the intercepted arc, andθ is the central angle in radians.
For example, if the central angle is 60 degrees and the intercepted arc length is 10 cm, we first need to convert the central angle to radians:
\(\theta = \frac{60}{180}\pi \\= \frac{\pi}{3}\)
Then we can use the formula:
\(r=\frac{s}{2\sin\frac{\theta}{2}}\\=\frac{10}{2\sin\frac{\pi}{6}}\\= \frac{10}{2(\frac{1}{2})}\\=10\\\)
Therefore, the radius of the circle is 10 cm.
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What are the solutions for the following system of equations?
y = 8x + 7
y = -x2 - 5x+7
(0,7) and (13, 97)
0 (0,7) and (-13, -97)
Answers
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
\((0,7),(-13,-97)\)
Equation Form:
\(x=0,y=7\\x=-13,y=-97\)
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(8*x+7)=0
Equation of a Straight Line
Solve y-8x-7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.'
n this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-8x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-8 Our line therefore "cuts" the x axis at x=-0.87500
x-intercept = 7/-8 = -0.87500
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 23.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 23.000 - 7.000 = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 16.000/2.000 = 8.000
Geometric figure: Straight Line
Slope = 16.000/2.000 = 8.000
x-intercept = 7/-8 = -0.87500
y-intercept = 7/1 = 7.00000
Pull out like factors :
-x2 - 5x - 7 = -1 • (x2 + 5x + 7)
Trying to factor by splitting the middle term
2.2 Factoring x2 + 5x + 7
The first term is, x2 its coefficient is 1 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is 5 .
-7 + -1 = -8
-1 + -7 = -8
1 + 7 = 8
7 + 1 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Find the Vertex of y = -x2-5x-7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens down and accordingly has a highest point (AKA absolute maximum) . We know this even before plotting "y" because the coefficient of the first term, -1 , is negative (smaller than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -2.5000
Plugging into the parabola formula -2.5000 for x we can calculate the y -coordinate :
y = -1.0 * -2.50 * -2.50 - 5.0 * -2.50 - 7.0
or y = -0.750
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = -x2-5x-7
Axis of Symmetry (dashed) {x}={-2.50}
Vertex at {x,y} = {-2.50,-0.75}
Function has no real roots
Solve Quadratic Equation by Completing The Square
3.2 Solving -x2-5x-7 = 0 by Completing The Square .
Multiply both sides of the equation by (-1) to obtain positive coefficient for the first term:
x2+5x+7 = 0 Subtract 7 from both side of the equation :
x2+5x = -7
Now the clever bit: Take the coefficient of x , which is 5 , divide by two, giving 5/2 , and finally square it giving 25/4
Add 25/4 to both sides of the equation :
On the right hand side we have :
-7 + 25/4 or, (-7/1)+(25/4)
The common denominator of the two fractions is 4 Adding (-28/4)+(25/4) gives -3/4
So adding to both sides we finally get :
x2+5x+(25/4) = -3/4
Adding 25/4 has completed the left hand side into a perfect square :
x2+5x+(25/4) =
(x+(5/2)) • (x+(5/2)) =
(x+(5/2))2
Things which are equal to the same thing are also equal to one another. Since
x2+5x+(25/4) = -3/4 and
x2+5x+(25/4) = (x+(5/2))2
then, according to the law of transitivity,
(x+(5/2))2 = -3/4
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(5/2))2 is
(x+(5/2))2/2 =
(x+(5/2))1 =
x+(5/2)
(5 bookmarks) flag find the equation of the tangent line to the curve y=2 x cosn at the point (π, -π). the equation of this tangent line can be written in the form y=mx b where
Answers
The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.
To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.
Taking the derivative of y with respect to x, we get:
dy/dx = 2cos(n) - 2n x sin(n)
Evaluating this derivative at x = π, we get:
dy/dx |x=π = 2cos(n) - 2n π sin(n)
Substituting x = π and y = -π into the original equation, we get:
-π = 2πcos(n)
cos(n) = -1/2
Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:
y - (-π) = m(x - π)
Simplifying, we get:
y = m(x - π) - π
Substituting cos(n) = -1/2, we have:
dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)
Setting this equal to the slope of the tangent line, we have:
m = -2 - 2nπ sin(n)
Substituting this value of m into the equation of the tangent line, we have:
y = (-2 - 2nπ sin(n))(x - π) - π
Therefore, the equation of the tangent line is:
y = -2x + (2π + 2nπ sin(n) - π)
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Complete question:
Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.
4 a bucket being filled with water is 3/8 full after 24 seconds. at the same rate, how many more seconds will it take to fill the bucket?
Answers
Answer: To fill the whole bucket, it will take 64 seconds so the remaining time is 40 seconds
Step-by-step explanation: As we are given 3/8 th part of the bucket is filled in 24 seconds. So by simply applying the unitary method we can say -
3/8 th part -----> 24 seconds
To fill the whole bucket multiply both sides by 8/3 in order to make the 1 unit of the bucket on the L.H.S, we get
1 bucket ----> 64 seconds.
The remaining times as it already passes 24 seconds and 3/8 th part of the bucket is filled, 64-24 seconds i.e 40 seconds is remaining in which bucket is full.
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Give an example of a function that is a dilation and a reflection of the parent function.
Answers
Answer: f(x) = -1/2(x+3)
Example: g(x) = -1/2(-x-3)
This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 2
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Answers
Burger Quick, because it has a larger median.
How to explain the informationBurger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.
Therefore, the correct answer is: Burger Quick, because it has a larger median.
Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.
Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.
The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.
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how do I graph linear equalities in algebra 2?-I HAVE A QUIZ TOMORROW HELP ME PLEASE
Answers
example-of How to Graph a Linear Inequality
1.Rearrange the equation so "y" is on the left and everything else on the right.
2.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3.Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Or another example
We are going to graph the equation -4x+2y=2.
First we solve the equation for y:
−4x+2y−4x+2y+4x2y2y2y=====24x+24x+24x+222x+1
−4x+2y = 2 −4x+2y+4x = 4x+2 2y = 4x+2
2
y
2
=
4
x
+
2
2
y = 2x+1
Second we create our table:
x y=2x+1
-2 -3
0 1
2 5
In the table above we have used our values for x to determine our matching values for y by exchanging the x in the equation for our given x-value.
As a last step we graph our points in the coordinate plane and connect them with a straight line.
Graph 3
how to find hypotenuse?
Answers
Answer:
Given two right triangle legs
Use the Pythagorean theorem to calculate the hypotenuse from the right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
Step-by-step explanation:
The hypotenuse can be discovered using Pythagoras' Theorem.
The meaning of hypotenuseThe definition of "the longest side of a right triangle" is simply "hypotenuse." The triangle's hypotenuse is the side that faces away from the right angle. It is also the triangle's longest side.
Where is the Hypotenuse located?The Pythagorean theorem is formalized mathematically via the hypotenuse formula. It states that the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the shorter two sides of the triangle, a and b: a2+b2=c2.
The 3:4:5 triangle is the only way to know for sure if an angle is 90 degrees. According to this rule, a triangle cannot be a right triangle if one side of the triangle measures 3 and the other side measures 4 and the diagonal connecting those two locations does not measure 5.
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A typical circular sanitary vertified sewer pipe (n-0.014) is to a carry a design sewage flow of 230 Ls. The pipe is to be laid with a bed slope of 1/350 with a maximum normal depth to diameter (yn/d -60%). a) Calculate the nominal pipe diameter.
Answers
The nominal pipe diameter (d) that satisfies the given conditions is 0.626 meters.
The equation is as follows:
Q = (1.486/n) A \(R^{(2/3)} * S^{(1/2)\)
Where:
Q = Design sewage flow rate (m³/s)
n = Manning's roughness coefficient (dimensionless)
A = Cross-sectional area of the pipe (m²)
R = Hydraulic radius (m)
S = Bed slope (dimensionless)
First, let's convert the given flow rate from liters per second (L/s) to cubic meters per second (m³/s):
Q = 230 L/s = 0.23 m³/s
Next, we can rearrange the Manning's equation to solve for the cross-sectional area (A):
A = (Q * n) / (1.486 * \(R^{(2/3)} * S^{(1/2))\)
Now, d = 4 * R
Substituting yn/d ratio:
yn/d = 0.60
yn = 0.60 d
The hydraulic radius R can be expressed as:
R = A / P
Where P is the wetted perimeter. For a circular pipe, P = π * d.
Substituting P in the equation for R:
R = A / (π * d)
Substituting R in the equation for A:
A = (Q * n) / (1.486 * ((A / (π * d\())^{(2/3))} * S^{(1/2))\)
Simplifying the equation:
\(A^{(5/3)\) = (Q * n) / (1.486 * \(\pi^{2/3\) * \(d^{(2/3)} * S^{(1/2))\)
Now, let's substitute the given values into the equation and solve for the nominal pipe diameter (d).
n = 0.014 (Manning's roughness coefficient)
Q = 0.23 m³/s (Design sewage flow rate)
S = 1/350 (Bed slope)
By solving the equation the nominal pipe diameter (d) that satisfies the given conditions is 0.626 meters.
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what's the free-haul volume from sta. 20 to sta. 50 in cubic yard?
Answers
The free-haul volume from Station 20 to Station 50 in cubic yards cannot be determined without additional information.
To calculate the free-haul volume, one needs to know the distance between Station 20 and Station 50, as well as the cross-sectional area of the material being hauled. Without this information, it is impossible to determine the volume of material that can be transported without incurring additional hauling costs.
In general, free-haul volume refers to the amount of material that can be transported without incurring additional costs beyond the initial cost of mobilizing the hauling equipment.
This is typically determined by the distance between the excavation site and the location where the material will be used, as well as the properties of the material being transported. Knowing the free-haul volume is important in order to optimize the hauling process and minimize costs. However, without additional information, it is not possible to determine the free-haul volume from Station 20 to Station 50 in cubic yards.
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The area of a playground is 3 square yards. The length of the playground is 3 times longer than its width. Find the length and width of the playground.
Answers
Answer:
Width is 2 and Length is 6
Step-by-step explanation:
the width is 2 and the length is 3 times the length is 3(2) = 6.
Josh deposited 50$ in savings account. He deposits 18$ a week write equation description
Answers
Answer:
18x+50
Step-by-step explanation:
josh deposited 50 dollars that would be your + 50. josh then deposits 18 dollars a week so that would be your 18x.
PLEASE HELP GIVING BRAINLIEST TO THE PERSON WHO ANSWERS CORRECTLY YOU DONT NEED TO DO ALL JUST SOME YOU CAN ANSWER
1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6.Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7.According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
Answers:
1: y = 1x + 0.5
3: the y-intercept shows that the original data began above 0 and has had a steady increase since. (not sure abt this one)
4: I'm sorry i don't know this one
5: the data collection shows that the height to arm span has a ratio of 1 throughout you can tell this by using the line of best fit.
6: according to the line of best fit the height of the person will also be about 66 inches.
7: according to the line of best fit the arm span will also be about 74 inches.
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST. Coleen read 159 pages of a book. This number represents 75% of the number of pages in the book. What is the total number of pages in the book.
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evaluate the expression. express your answer as a fraction in lowest terms or a decimal rounded to the nearest thousandth, if necessary. p45c45
Answers
The expression p45c45 evaluates to 1. This answer can be expressed as a fraction in lowest terms as 1/1 or as a decimal rounded to the nearest thousandth as 1.000.
To evaluate the expression p45c45, we need to use the combination formula, which is:
C(n,r) = n! / (r! * (n-r)!)
In this case, n = 45 and r = 45. Therefore, the expression can be written as:
C(45,45) = 45! / (45! * (45-45)!)
C(45,45) = 45! / (45! * 0!)
C(45,45) = 45! / (45! * 1)
C(45,45) = 1
Therefore, the expression p45c45 evaluates to 1. This answer can be expressed as a fraction in lowest terms as 1/1 or as a decimal rounded to the nearest thousandth as 1.000.
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The weights of 3 apples in a box of 36 apples are 115g, 121 g and 118 g respectively. (a) What is the average weight of 3 apples? (b) Estimate the total weight of 36 apples based on the average weight.
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Answer:
The average weight of three apples = 118 g
Estimated average weight of 36 apples = 1416 g or 1 kg 416 g
Total weight of 36 apples = 50976 g or 50 kg 976 g
A 3 lb (1.36 kg) bag of carrots cost $3.25, a 75 lb (ca. 34 kg) bag of carrots cost $4.75, which is the better deal?
Answers
Answer:
The second bag (4.75)
Step-by-step explanation:
Suppose we select a resident of the apartment building at random. Let event A = Lizard and event B = Dog. Are events A and B independent? a. Yes, P(A) = P(A|B). b. Yes, P(A) = P(B|A). c. No, P(A) ≠ P(A|B). d. No, P(B) ≠ P(B|A).
Answers
The correct answer is either option c or option d: No, P(A) ≠ P(A|B) or No, P(B) ≠ P(B|A).
To determine if events A (Lizard) and B (Dog) are independent, we need to compare the probability of event A with the conditional probability of A given B and vice versa.
If events A and B are independent, then the probability of event A occurring should be equal to the conditional probability of A given B, and vice versa.
The options given are:
a. Yes, P(A) = P(A|B).
b. Yes, P(A) = P(B|A).
c. No, P(A) ≠ P(A|B).
d. No, P(B) ≠ P(B|A).
To check if events A and B are independent, we can consider the probability values associated with each event.
If events A and B are independent, then we would expect P(A) to be equal to P(A|B), and P(B) to be equal to P(B|A).
Since the options a and b state that the probabilities are equal, they imply that events A and B are independent. However, this cannot be determined based solely on those equalities.
To definitively determine independence, we need additional information about the probabilities or the relationship between the events. Without further information, we cannot determine whether events A and B are independent.
So, either option c or option d—No, P(A) P(A|B) or No, P(B) P(B|A)—is the appropriate response.
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Help me please ASAP thank you
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Find the measure of the missing angle
Answers
Answer:
a = 151 degrees
Step-by-step explanation:
180 - 29 = 151
Answer:
151
Step-by-step explanation:
180 -29 = 151
Diane and becky are selling tickets to the fall festival. together they both sold 28 tickets. diane sold 3 times as many tickets as becky. how many tickets did diane sell
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The total number of tickets sold by Diane is 21.
What is a Linear equation?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers and x is a variable. This equation has only one solution.
What is a variable?
Any qualities, quantity, or number that can be measured or counted classifies as a variable.
Here,
Let the tickets sold by Becky = x.
Then, the tickets sold by Diane =3x.
So, the total number of tickets sold by Becky and Diane is = x + 3x = 28
4x = 28
x = 7
The total ticket sold by Diane = 3x = 3*7 = 21
The total ticket sold by Becky = x = 7
Hence, Diane's total ticket for the Fall festival sold is 21.
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What are the roots of the roots of the function f(x)=x^2+2x-1
Answers
The roots of the function f(x) = \(x^2+2x-1\) are
x = \(-1+\sqrt{2}\)
x = \(-1-\sqrt{2}\)
The function is given f(x)= \(x^2+2x-1\)
The roots of given function will be at f(x) = 0
Substitute the value in the equation
\(x^2+2x-1\) =0
Here to find the roots of the function, we have to use the quadratic formula in the given function
Roots of the function = \(\frac{-b+/-\sqrt{b^2-4ac} }{2a}\)
From the given function the values of
a = 1
b = 2
c = -1
Substitute the values in the quadratic formula and find the roots of the function
= \(\frac{-2+/-\sqrt{2^2-4(1)(-1)} }{2(1)}\)
= \(\frac{-2+/-\sqrt{4+4} }{2}\)
= \(\frac{-2+/-2\sqrt{2} }{2}\)
The roots of the given functions are
x = \(-1+\sqrt{2}\)
x = \(-1-\sqrt{2}\)
Hence, the roots of the function f(x) = \(x^2+2x-1\) are
x = \(-1+\sqrt{2}\)
x = \(-1-\sqrt{2}\)
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Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answers
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
¿conjunto de fuerzas aplicado sobre un objeto de manera que la linea de accion de todas las fuerzas convergan en un mismo punto?, ¿ cual es el conjunto de esas fuerzas? . agradecería mucho si lo contestan porfis uwu
Answers
Answer:
Fuerzas Convergentes
Fuerza Resultante
Find the area of a rectangular garden with side length of 4x+11 and 2x+5
find the perimeter of the garden in the problem
Answers
The value of area of a rectangular garden is, (8x² + 42x + 55).
The perimeter of the garden is, (12x + 32).
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The side lengths of a rectangular garden are,
⇒ (4x + 11) and (2x + 5)
Now, We know that;
Area of rectangle = Length × Width
Thus, The value of area of a rectangular garden is,
⇒ Area = (4x + 11) × (2x + 5)
= (8x² + 20x + 22x + 55)
= (8x² + 42x + 55)
And, The perimeter of rectangle = 2 (Length + Width)
Thus, The perimeter of the garden is,
⇒ Perimeter = 2 (4x + 11 + 2x + 5)
= 2 (6x + 16)
= (12x + 32)
Thus, The value of area of a rectangular garden is, (8x² + 42x + 55).
And, The perimeter of the garden is, (12x + 32).
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Give an angle which has the same sine as 300
Answers
I might me wrong, but i believe that its -36.
Have a nice day <3
let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
Answers
The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.
Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point
\(r(x) = f(g(x))\)therefore the derivative of r is given by \(r'(x) = f'g(x)\times g'(x)\)
\(r'(1) = f'(g(1))\times g'(1)\) from the graphs
r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0
Similarly s'(1) = g'(f(1))\times f'(1) from the graphs
f(1)=1.5, f'(1)
=\dfrac{ (3-0)}{(0-2)}
= -3/2 , g'(3/2) = 0
s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0
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Complete question:
let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
