Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements. (a) Jerry does not have an Internet connection. (b) Rachel has not chatted over the Internet with Chelsea. (c) Jan and Sharon have never chatted over the Internet. (d) No one in the class has chatted with Bob. (e) Sanjay has chatted with everyone except Joseph. (f) Someone in your class does not have an Internet connection. (g) Not everyone in your class has an Internet connection. (h) Exactly one student in your class has an Internet connection. (i) Everyone except one student in your class has an Internet connection. (j) Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class. (k) Someone in your class has an Internet connection but has not chatted with anyone else in your class. (l) There are two students in your class who have not chatted with each other over the Internet. (m) There is a student in your class who has chatted with everyone in your class over the Internet. (n) There are at least two students in your class who have not chatted with the same person in your class. (o) There are two students in the class who between them have chatted with everyone else in the class
Answers
Answer:
Step-by-step explanation:
L(x) means that Student X has an internet connection
C(x,y) means that students X and Y have chatted over the internet
The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:
(A) Jerry does not have an internet connection
L(x) = 0
Where X represents Jerry
(B) Rachel has not chatted over the internet with Chelsea
C(x,y) = 0
Where X and Y represent Rachel and Chelsea
(C) Jan and Sharon have never chatted over the internet
L(x) + L(y) = 0
Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!
(D) No one in the class has chatted with Bob
Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.
The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.
The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)
Related Questions
HELP ME OUTT PPL (BRAINIEST)
Answers
Answer:
(0, 6)
Step-by-step explanation:
Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).
I hope this was helpful! Have a lovely day! :D
Which rule is true for the horizontal number line?
Answers
The correct statement is B, D and E
What is number line?
Number lines are the horizontal straight lines in which the integers are placed in equal intervals.
The complete question is
Which rule is true for the horizontal number line?
A. All negative numbers are located to the right of zero.
B. Negative numbers are arranged in a descending order from left to right.
C. Positive numbers are arranged in a descending order from left to right.
D. All positive numbers are located to the right of zero.
E. Negative numbers are arranged in an ascending order from right to left.
All negative numbers are located to the left of zero.
Negative numbers are arranged in a descending order from left to right.
Positive numbers are arranged in a ascending order from left to right.
All positive numbers are located to the right of zero.
Negative numbers are arranged in an ascending order from right to left.
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825 use each digit once. make the smallest 3digit number
Answers
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft
Answers
Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.
The volume of a pool of length l, width w and height h is given by:
\(V = lwh\)
Applying implicit differentiation, the rate of change of the volume is given by:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
Neither the width nor the length changes, hence \(\frac{dl}{dt} = \frac{dw}{dt} = 0\), and:
\(\frac{dV}{dt} = lw\frac{dh}{dt}\)
We are given that:
\(\frac{dV}{dt} = 0.3, l = 20, w = 40\), hence:
\(\frac{dV}{dt} = lw\frac{dh}{dt}\)
\(0.8 = 20(40)\frac{dh}{dt}\)
\(\frac{dh}{dt} = \frac{0.8}{800}\)
\(\frac{dh}{dt} = 0.001 \)
Water level is rising at rate of 0.001 ft/sec.
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9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
Answers
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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Can somebody help me with this problem?
Answers
Answer:
You need to use y=mx+b
In this case, m=1.5 so that means that y=1.5x
Now you must find out the y intercept which is "b" in y=mx+b
I think it is the first one (y=1.5x+72)
====================================================
Explanation:
The given slope is m = 1.5
We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.
We'll plug those m, x, and y values into the equation below to solve for b
y = mx+b
72 = 1.5*6+b
72 = 9+b
72-9 = b ... subtract 9 from both sides
63 = b
b = 63 ... y intercept
-------------------
Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63
A true-false question is to be posed to a husband-and-wife team on a quiz show. Both the husband and the wife will independently give the correct answer with probability p. Which of the following is a better strategy for the couple?
a.) Choose one of them and let that person answer the question.
b.) Have them both consider the question, and then either give the common answer if they agree or, if they disagree, flip a coin to determine which answer to give.
If p = .6 and the couple uses the strategy in part (b), what is the conditional probability that the couple gives the correct answer given that the husband and wife..
c.) agree?
d.) disagree?
Answers
The conditional probability that the couple gives the correct answer if the husband and wife agree is p = .6 and if husband wife don't agree is p=0.5, and statement B is the better strategy.
Option B, have them both consider the question, and then either give the common answer if they agree or, if they disagree, flip a coin to determine which answer to give is the better strategy.
c.) The conditional probability that the couple gives the correct answer if the husband and wife agree is p = .6.
d.) The conditional probability that the couple gives the correct answer if the husband and wife disagree is 0.5. This is because in this case, they must flip a coin to decide which answer to give.
Since the probability of both parties giving the correct answer is p = .6, but the probability of either party giving the correct answer is only 0.5,
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Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that person’s speed to the nearest meter per second?
A. Amir ran approximately 1 meter per second faster than Ryder.
B. Ryder ran approximately 1 meter per second faster than Amir.
C. Amir ran approximately 104 meters per second faster than Ryder.
D. Ryder ran approximately 104 meters per second faster than Amir.
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve the following
8903=e
Answers
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{8,903 = e^{5x}}}\)
\(\huge\textbf{Simplify:}\)
\(\mathsf{8,903 = e^{5x}}}\)
\(\mathsf{e^{5x} = 8,903}}\)
\(\huge\textbf{Solve for the exponent:}\)
\(\large\textsf{We get: }\downarrow\\\\\mathsf{2.718282^{5x}=8903}\)
\(\huge\textbf{Take the logarithm from both sides:}\)
\(\mathsf{log(2.718282^{5x}) = log(8,903x)}\)
\(\large\textsf{We get:}\\\\\mathsf{5x \times log(2.718282)=log(8903)}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{5x = \dfrac{log(8903)}{log(2.718282)}}\)
\(\large\textsf{We get: }\\\\\mathsf{5x = 9.094143}\)
\(\huge\textbf{Divide 5 to both sides:}\)
\(\mathsf{\dfrac{5x}{5} = \dfrac{9.094143}{5}}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{x= \dfrac{9.094143}{5}}\)
\(\mathsf{x = 1.818829}\)
\(\mathsf{x \approx 2}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{x =}\frak{\ 1.818829}}\huge\checkmark\)
\(\large\textbf{Or if you're estimating your answer}\downarrow\)
\(\huge\boxed{\mathsf{x \approx }\frak{\ 2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Describe the graph that would be used to solve the equation -x^2+4=x+2 using a system of equations. How will you use the graph to find the solution(s)?
Answers
The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
Given the quadratic equation:
-x² + 4 = x + 2
Collecting like terms:
x² + x - 2 = 0
Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.
The solution is at x = -2 and x = 1
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Which rule explains why these triangles are
congruent?
U
T
V
W
AAS
ASA
SAS
SSS
These triangles
cannot be proven
congruent.
Answers
These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
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integrate both sides of the differential equation you found for dp to obtain an equation for p . your equation should then include a constant that depends on initial conditions. determine the value of this constant by assuming that the pressure at some reference height y0 is p0 .
Answers
The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).
dp = -pg dy
At height y = y₀ and p = p₀
∫dp = ∫-pg dy
⇒p = -pgy + C Eqn(1)
Where c is the constant of integration
We know that y = y₀ and p = p₀
⇒p₀ = -pgy₀ + C
⇒C = p₀ + pgy₀
Put the value of C in Eqn(1)
⇒p = -pgy + p₀ + pgy₀
⇒p - p₀ = -pgy + pgy₀
⇒p - p₀ = pg(y₀ - y)
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look at the picture and pls hurry i’m failing algebra and this will help a lot
Answers
UmumumumumumumumumumumumuAnswer:
Step-by-step explanation:
The whale shark feeds for 7.5 hours each day. Graph the function that represents the amount f of food (in pounds) filtered by the whale shark as a function of the number d of days.
Answers
Answer:
step by step answer at least
Which statement best compares the two functions? The minimum of function A occurs 1 unit higher than the minimum of function B. The minimum of function A occurs 3 units higher than the minimum of function B. The minimum of function A occurs 5 units lower than the minimum of function B. The minimum of function A occurs 7 units lower than the minimum of function B.
Answers
Answer: D: The minimum value of A occurs 7 units lower than minimum of function B.
Step-by-step explanation: The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.
The minimum value of A occurs 7 units lower than the minimum of function B.
We have given that,
Statement best compares the two functions
What is the minimum and maximum function?
The maxima and minima of a function, known collectively as extrema, are the largest and smallest value of the function, either within a given range, or on the entire domain.
The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.
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Evaluate 8x + 2y if y =6 and x = 3
Answers
Answer:
36
Step-by-step explanation:
Equation:
8(3) + 2(6)
Multiply the co effficent by the variable
8 x 3
8x6
After you add, you get the answer 36.
the temperature at the south pole was -39degree f at 8am. at 3pm it was 10degree f, by how many degrees did the temperature rise?
Answers
Answer:
Step-by-step explanation: start at -39 degrees. You need to find how many degrees is between -39 and 10 degrees.
+39+10= 49 degrees risen
summarized on the graph below, is the number of visitors (in millions) of the top 5 websites in 2013. use this information to calculate what percent of the visitors of these five products was due to Website A. _______% of the visitors of these five sites was due to Website A. (round to nearest integer as needed).
Answers
To find the percentage of something, you just need to find the ratio between the wanted amount, by the total amount, and then convert to a fraction of 100.
In our particular case, the amount we want is the amount of visitors of website A, and the total amount is the total of visitors of all sites.
First, let's calculate the total of visitors of all sites(to do that, we just need to sum all the values):
\(T=371+275+263+179+108=1196\)Now, we can write our ratio as:
\(\frac{A}{T}=\frac{371}{1196}\)Converting this to a fraction of 100, we get the following expression
\(\frac{371}{1196}=\frac{x}{100}\)Now, we just need to solve for 'x' to find our percentage.
\(\begin{gathered} \frac{371}{1196}=\frac{x}{100}\Rightarrow100\cdot\frac{371}{1196}=x\Rightarrow x=31.0200668896\ldots \\ \Rightarrow x\approx31 \end{gathered}\)And this is our final result. 31% of the visitors of these five sites was due to Website A.
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answers
Answer: D
Step-by-step explanation:
What is the probability that at least 3 but no more than 5 students will withdraw?
Answers
I’m thinking of a number. When you multiply it by 5 and subtract 3 you will get a number less than 80. Form an inequality and solve it to describe the range of possible numbers
Answers
The range of possible numbers will be (-∞ , 16.6] as per the given conditions.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, I’m thinking of a number. When you multiply it by 5 and subtract 3 you will get a number less than 80.
Let "x" be the number
Thus from the given expression
=> 5*x - 3 < 80
add 3 on both sides
=> 5x -3 + 3 < 80 +3
=> 5x < 83divide by 5 into both sides
=> x < 83/5
=> x < 16.6
thus the range of x for the given Condition will be (-∞ , 16.6]
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Triangle XYZ is similar to ABC.
Enter the missing side length.
Answers
4/6x 3/5 please help me will give brainliest
Answers
Answer:
0.4
Step-by-step explanation:
all I got to say is that the answer is 0.4 %100
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answers
Answer:
Step-by-step explanation:
Which expression does not belong with the other three? explain
Answers
The only expression that does not belong to the other 3 is the one that is a binomial.
How to identify the type of algebraic expression?A monomial is defined as an algebraic expression that has only one non- zero term. Examples of a monomial expression are x, 7xy²
A binomial is defined as an algebraic expression that has two non-zero terms. Examples of a binomial expression: x² + 2y
A trinomial is defined as an algebraic expression that possesses three non-zero terms. Examples of a trinomial expression: a + b + c
A polynomial is defined as an algebraic expression that has one, two or more terms.
The only expression that does not belong to the other 3 is (b - 2⁻¹) because it is the only binomial.
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It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
Answers
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
What is the cos A?Will give 15 points.
Answers
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=3300(0.949)^x
Answers
The function represents exponential decay & The function decays at a rate of 5.1% per unit increase in x.
The given function is an exponential function of the form y = a\(r^{x}\),
where a is the initial value,
r is the base,
and x is the exponent.
In this case, the initial value a is 3300,
the base r is 0.949,
and the exponent x is an unknown variable.
If the base r is greater than 1, the function represents exponential growth. If the base r is less than 1, the function represents exponential decay. In this case, since the base r is less than 1 i.e. 0.949, the function represents exponential decay.
To find the percentage rate of decrease, we can subtract the base r from 1 and multiply the result by 100 to express the result as a percentage.
In this case, the percentage rate of decrease is
1 - 0.949 = 0.051 ×100
= 5.1%.
Therefore, the function decays at a rate of 5.1% per unit increase in x.
What is exponential growth & exponential decay?
Quantities that fluctuate quickly are subject to exponential growth and decay. The idea of geometric progression has been used to infer exponential growth and decay. Exponential growth or exponential decay are terms used to describe quantities that vary exponentially rather than continuously.
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Assume that the halting language \(H_T_M\) is reducible to
some language B (\(H_T_M\) \($\leq$\) \(_m\) B). Is it possible that is decidable? Answer true/false and explain. Please help me this answer?
Answers
H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
How to Interpret Machine Language?A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.
Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.
Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .
S = “On input (M, B)
This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
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During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Answers
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
\(E(X) = np\)
In this problem:
Two shots, hence \(n = 2\)He makes 53.5% of the shots, hence \(p = 0.535\).Then:
\(E(X) = np = 2(0.535) = 1.07\)
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