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What is the absolute value of -6? Use the number line to help answer the question.
2
6
S
4
3
2
1
6
7

For the given set of expressions the truth values are -

(a) ∀x∃y (xy > 0) - false

(b) ∃x∀y (xy = 0) - true

(c) ∀x∀y∃z (z = (x - y)/3) - true  

(d) ∀x∃y∀z (z = (x - y)/3) - true

To determine: Truth value of each expression.

The domain is the set of all real numbers.

(a) ∀x∃y (xy > 0)

We need to check whether the expression xy > 0 holds true for all values of x and there exists a value of y such that the expression holds true.

For x = 0, xy = 0 which is not greater than 0.

So, the given expression is false.

(b) ∃x∀y (xy = 0)

We need to check whether there exists a value of x such that the expression xy = 0 holds true for all values of y.

For x = 0, the expression xy = 0 holds true for all values of y.

Hence, the given expression is true.

(c) ∀x∀y∃z (z = (x - y)/3)

We need to check whether for all values of x and y there exists a value of z such that the expression z = (x - y)/3 holds true.

The expression is true.

We can take z = (x - y)/3.

(d) ∀x∃y∀z (z = (x - y)/3)

We need to check whether for all values of x there exists a value of y such that for all values of z the expression

z = (x - y)/3 holds true.

We can rewrite the given expression as ∃y∀z (z = (x - y)/3)

For x = 0, the value of y = 0, which satisfies the given expression. Hence, the given expression is true.

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Answer:

Step-by-step explanation:

Where a number=x

Product of 6= y and z

product of a number(x)=u and v

Answer:

1256.6 cm²

Step-by-step explanation:

A cone is given with base radius of 10 cm and slant height of 30 cm.

π = 3.14159

r = radius = 10 cm

L = slant height = 30 cm

SA = πr² + πrL = πr(r + L)

SA = 3.14159(10 cm)(10 cm + 30 cm)

SA = 1256.636 cm²

Answer: 1256.6 cm²

Answer:

24

Step-by-step explanation:

5^2-(-3)^0

=25-(-3)^0

=25-3^0

=25-1

24

Answer:

6

Step-by-step explanation:

Multiply 2/5 by the first x value:

2/5x = 2/5 • 5 = 10/5 = 2.

Now, we have to find out ? + 2 = 8:

6 + 2 = 8

If you solve for the others, this is a proportional relationship, or has a pattern.

y = 2/5x + 6

Integrating the above expression within the given limits will give us the desired probability. However, the calculation involves numerical integration and may require the use of specialized software or calculators.

To determine the probability that a Lucky Lumen light bulb will last between 5500 and 27500 hours, we can use the exponential distribution formula.

The exponential distribution is defined by the probability density function (PDF):

f(x) = (1/μ) * e^(-x/μ)

Where:

μ is the mean of the distribution

In this case, the mean (μ) of the distribution is given as 20,000 hours.

To find the probability that a light bulb will last between 5500 and 27500 hours, we need to calculate the integral of the PDF within that range.

P(5500 < X < 27500) = ∫[5500, 27500] f(x) dx

P(5500 < X < 27500) = ∫[5500, 27500] (1/20000) * e^(-x/20000) dx

Integrating the above expression within the given limits will give us the desired probability. However, the calculation involves numerical integration and may require the use of specialized software or calculators.

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If a language L is regular, then the tail of the language, Lt, is also regular because we can construct a new finite automaton for Lt by adding a new start state and connecting it to the old start state by an ε-transition, and by adding all states that are reachable from an accepting state by an ε-transition.

To show that if a language L is regular, the tail of the language, Lt, is also regular, we need to first understand the concepts of language tails and regular languages.

A language tail is a subset of a language that consists of strings starting at a certain point. In other words, given a language L over an alphabet Σ, the tail of L with respect to a string w is a subset of L that consists of all strings that start with w. The tail of L with respect to the empty string is L itself.

A regular language is a language that can be expressed by a regular expression or generated by a finite automaton. A finite automaton is a mathematical model for a machine that reads a sequence of characters from an input tape and transitions between different states according to the input.

The tail of a regular language is also a regular language. This is because if a language L is regular, then it can be recognized by a finite automaton. We can construct a new finite automaton for the tail of L by starting with the original automaton and adding a new start state that is connected to the old start state by an ε-transition.

This new start state is the start state for the tail language. The accepting states for the tail language are the same as the accepting states for the original language, except that we have to add all states that are reachable from an accepting state by an ε-transition.

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The total Quantity demanded is:Q = 9 * (200 - P) + 92On simplifying this expression, we get:Q = 1828 - 9P

Substituting this value of Q in the profit function, we get:Pi = (198 - (1828 - 9P)) * qiOn

simplifying this expression, we get:Pi = (10P - 1630) * qi

This is the profit function for each firm in the industry.

The given market demand function for Coca-Cola and Pepsi is Q(p) = 200 - P. Here, Q denotes the total quantity demanded and P represents the price of the product.

The cost function for each of the two firms is C(qi) = 2q_i where q_i denotes the quantity produced by the ith firm.

Now, we need to determine the profit function for each firm in the industry.

To find out the profit function for each firm, we need to calculate the revenue function and subtract the cost function from it.The revenue function is the product of price and quantity. Therefore, the revenue function for both firms is:Ri = p * qi where Ri is the revenue of ith firm.

The price of each firm is determined by the market demand function as follows:p = 200 - QSubstituting this value of p in the above expression, we get:Ri = (200 - Q) * qi

Now, we need to calculate the profit function for each firm. It is given by the following expression:Pi = Ri - Ci where Pi is the profit of ith firm and Ci is the cost of production of ith firm. Substituting the value of Ri and Ci in the above equation, we get:

Pi = (200 - Q) * qi - 2qiOn simplifying this expression, we get:Pi = (198 - Q) * qiThis is the profit function for both firms in the industry. It is a function of quantity produced by each firm (qi) and total quantity demanded (Q). Hence, the profit of each firm depends on the total quantity demanded and the quantity produced by the firm.

The given demand function is Q(p) = 200 - P. Here, we are given Q = 9₁ + 92.

Therefore, the total quantity demanded is:Q = 9 * (200 - P) + 92On simplifying this expression, we get:Q = 1828 - 9P

Substituting this value of Q in the profit function, we get:Pi = (198 - (1828 - 9P)) * qiOn

simplifying this expression, we get:Pi = (10P - 1630) * qi

This is the profit function for each firm in the industry.

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Answer: 18 meters

Step-by-step explanation: The radius is always equal to half the diameter.

So the diameter will be twice the radius so we double the radius.

If we double 9, we get 18.

So the diameter of the circle is 18 meters.

Answer:

(-3.5, -0.5)

Step-by-step explanation:

Answer:

The slope of the line would be -5/3(the red one)

Step-by-step explanation:

Answer:

7 the answer is 7

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

you want to see how many times 800 can go into your number so the answer would be 70

Answer:

2r + 3s ≤ 24

r ≤ 6

s ≤ 8

Step-by-step explanation:

Given the following :

Total amount with Jimmy = $24

Cost of Rollercoaster ride (r) = $2

Cost of spinning cup ride (s) = $3

Queasy if r is greater than 6

Queasy if s is greater than 8

Cost of ride :

(Number of r * cost of r) + (number of s * cost of s) ≤ total amount

Hence,

2r + 3s ≤ 24

To avoid getting queasy :

r ≤ 6

s ≤ 8

2r + 3s ≤ 24

r ≤ 6

s ≤ 8

The value of QR is 3√290.

Given, In triangle PQR

PQ = 39 in PR = 17 in Height PN = 15 in

We need to find QR.

In the right-angled triangle PNR, using Pythagoras theorem,

PN² + PR² = NR²15² + 17²

= NR²NR² = 15² + 17²NR

= √(15² + 17²)NR = √(225 + 289)NR

= √514

Now, in the right-angled triangle PQN,

using Pythagoras theorem,

QR² = PN² + PQ²QR² = 15² + 39²QR²

= 225 + 1521QR² = 1746QR

= √1746QR = 3√290

Thus, the value of QR is 3√290.

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a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:

The decreasing resistance and keeping current constant leads decreasing in voltage option (C) is correct.

What is voltage?

Voltage is the force applied by the power source to charged electrons in a conducting loop, allowing them to perform tasks such as igniting light.

As we know according to the ohm's law:

V = IR

Where 'V' is the volatge,

'I' is the current.

'R' is the resistance.

If we assume 'I' is constant

Then V∝R

As the resistance increases the voltage increases and vice versa.

Thus, the decreasing resistance and keeping current constant leads decreasing in voltage option (C) is correct. HOPE THIS HELPS!

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Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

Answer:

id say yes

Step-by-step explanation:

Answer:

Yes it passes the vertical line test i just did it on a.p.e.x

Step-by-step explanation:

any multiple of 2 is even, we can conclude that the sum of the squares of any two consecutive odd integers is even.

Let's say that the two consecutive odd integers are x and x + 2.

So, we can represent the sum of their squares as:x^2 + (x + 2)^2Expanding this out, we get:x^2 + (x^2 + 4x + 4)

Combining like terms, we can simplify this to:2x^2 + 4x + 4Factoring out a 2, we get:2(x^2 + 2x + 2)

So, the sum of the squares of any two consecutive odd integers is 2 times an integer (x^2 + 2x + 2).

Since any multiple of 2 is even, we can conclude that the sum of the squares of any two consecutive odd integers is even.

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Answer:

whats the question?

Step-by-step explanation:

Ok, what is your question.

Answer:

0.67

Step-by-step explanation:

Answer:

.67

Step-by-step explanation:

4 out of 6

4/6=.666

rounded to the nearest hundredth .67

factor x^2 -6x +5 using AC method

(x- 5) (x- 1)

Answer: 900  + 50  + 8  +   0.2 +   0.04

Step-by-step explanation:

900  + 50  + 8  +   0.2 +   0.04

Answer:

y=958.24

Expanded forms can be written like a sentence or stacked for readability as they are here.

Standard Form:

958.24