two pairs of parallel lines form a parallelogram. becki proved that angles 2 and 6 are congruent. she first used corresponding angles created by a transversal and then alternate interior angles. which pairs of angles could she have used?

Answer:

A pair of opposite angles formed by two intersecting lines (option C)

Step-by-step explanation:

The log-linear demand function In(Q) = A - Bln(p) relates quantity demanded (Q) to price (p).

a. Q as a function of p:

Q = e^A / p^B

dp/dQ = -B * e^A / p^(B+1)

b. p as a function of Q:

p = e^(A/B) / Q^(1/B)

To solve this problem, let's start with the given demand function: In(Q) = A - Bln(p), where Q represents the quantity demanded, p is the price of the product, A and B are constants.

a. Express Q as a function of p:

To find the relationship between Q and p, we need to exponentiate both sides of the equation to remove the natural logarithm. By taking the exponential function, we get:

e^(In(Q)) = e^(A - Bln(p))

Using the property e^(A - Bln(p)) = e^A / e^(Bln(p)) = e^A / p^B, the equation becomes:

Q = e^A / p^B

Now, let's differentiate both sides of this equation with respect to p:

dQ/dp = d/dp(e^A / p^B)

To differentiate e^A / p^B, we can use the quotient rule:

dQ/dp = [e^A * (-B) * p^(B-1) - e^A * p^B * 0] / (p^B)^2

Simplifying this expression, we have:

dQ/dp = -B * e^A / p^(B+1)

b. Express "p" as a function of Q:

To find the relationship between p and Q, we can rearrange the equation Q = e^A / p^B:

p^B = e^A / Q

Now, taking the B-th root of both sides:

p = (e^A / Q)^(1/B)

Simplifying further:

p = e^(A/B) / Q^(1/B)

So, we have expressed "p" as a function of Q.

In summary, for the log-linear demand function In(Q) = A - Bln(p):

a. Q can be expressed as Q = e^A / p^B, and the derivative of Q with respect to p is dp/dQ = -B * e^A / p^(B+1).

b. p can be expressed as p = e^(A/B) / Q^(1/B).

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First multiply each terms and u get

50+4+4/5+0.006

When u add all these u get

54.806 or 54 403/500

Answer:

Yes

Step-by-step explanation:

Everything in the "x" row is being multiplied by 3.

Explanation:

Divide each y value over its corresponding paired x value

First column: y/x = 3/1 = 3

Second column: y/x = 6/2 = 3

Third column: y/x = 9/3 = 3

Fourth column: y/x = 12/4 = 3

Each time we get the same result, so k = y/x = 3 is the constant of variation

The equation is y = 3x which is in the form y = kx with k = 3.

For instance, if x = 4, then y = 3x = 3*4 = 12.

All direct proportional relationship equations are linear and go through the origin.

Answer: 34 delicious cookies.

Step-by-step explanation:

(look in attachment for explanation)

Answer:

No. of Nickels = 127

No. of Dimes = 156

No. of Quarters = 78

Step-by-step explanation:

First we need to form a system of equations representing the situation. So, first we let:

x = number of nickel coins

y = number of dimes

z = number of quarters

Now, we know that the total coins are 361. Therefore,

x + y + z = 361   ----------- equation (1)

It is also given that there are twice as many dimes as quarters:

y = 2z

y - 2z = 0  ----------------equation (2)

Now, we have a total worth of $41.45. A dime is worth $0.1, nickel is worth $0.05 and a quarter is worth $0.25. Therefore,

0.05x + 0.1y + 0.25z = 41.45   ----------------- equation (3)

Simultaneously solving the three equations, we get:

x = 127, y = 156, z = 78

Hence,

No. of Nickels = 127

No. of Dimes = 156

No. of Quarters = 78

Answer:

the answer is 4096

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

I can be dived by 8

Step-by-step explanation:

because 8 16 24

Three examples of Bernoulli rv's are given below:-X = 1 if a randomly selected book is fiction and X = 0 otherwise.-xthe number of lightbulbs that needs to be replaced in a randomly selected building and X-O if there are none.-x = 1 if a randomly selected driver has automobile insurance and X = 0 otherwise.

A Bernoulli random variable (RV) is a binary event that occurs with a certain probability. If the event happens, the Bernoulli RV is 1, and if it doesn't happen, the RV is 0. Bernoulli RVs are used in probability theory to model random variables that have two possible outcomes. A Bernoulli RV is an important building block for other probability distributions, such as the binomial distribution , which is used to model events that occur a certain number of times in a row, such as coin flipping.

In addition to the examples given in the text, there are a few other examples of Bernoulli RVs. The first example is X = 1 if a randomly selected book is fiction and X = 0 otherwise. This Bernoulli RV models the probability that a randomly selected book from a library is a work of fiction. The second example is xthe number of lightbulbs that needs to be replaced in a randomly selected building and X-O if there are none. This Bernoulli RV models the probability that a light bulb needs to be replaced in a building. Finally, the third example is x = 1 if a randomly selected driver has automobile insurance and X = 0 otherwise. This Bernoulli RV models the probability that a randomly selected driver has car insurance.

Bernoulli RVs are used to model binary events with a certain probability of occurrence. Bernoulli RVs are an important building block for other probability distributions, such as the binomial distribution. There are many examples of Bernoulli RVs, including X = 1 if a randomly selected book is fiction and X = 0 otherwise, xthe number of lightbulbs that needs to be replaced in a randomly selected building and X-O if there are none, and x = 1 if a randomly selected driver has automobile insurance and X = 0 otherwise.

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Answer:

$280

Step-by-step explanation:

First, divide 203 by 29 to find the cost of bananas per pound.

203/29 = 7

Then, multiply that number by 40.

7 x 40 = $280

Answer:280

Step-by-step explanation:

First divide 203 by 29= 7

second 7x40=280

hope this helps

Answer:

Step-by-step explanation:

Part (A)

From the picture attached,

Line 1 passes through two points (-2, 0) and (-1, 3).

Let the equation of the line is,

y = mx + b

where m = slope of the line

b = y-intercept

Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of line 1,

m = [tex]\frac{3-0}{-1+2}[/tex]

m = 3

y-intercept 'b' = 6

Equation of line 1 will be,

y = 3x + 6 --------(1)

Let the equation of line 2 is,

y = m'x + b'

Since line 2 passes through two points (0, -1) and (1, 3)

Slope m' = [tex]\frac{3+1}{1-0}[/tex]

               = 4

y-intercept b' = -1

Equation of line 2 is,

y = 4x - 1 --------(2)

Part (B)

By equating the values of y from both the equations,

3x + 6 = 4x - 1

4x - 3x = 6 + 1

x = 7

From equation (2),

y = 4(7) - 1

  = 28 - 1

  = 27

"Champagne" is a word that is likely from French based on the grapheme representing /sh/.

Based on the grapheme representing /sh/, the word that is likely from French is "champagne."

The /sh/ sound is commonly represented by the grapheme "ch" in English, as in words like "shop" and "sheep." However, in French, the same sound is often represented by the grapheme "ch" as well.

The word "champagne" is a well-known French term used to refer to a type of sparkling wine produced in the Champagne region of France. It contains the "ch" grapheme that represents the /sh/ sound in French.

The grapheme for the sound /sh/ indicates that the word "champagne" is hence likely French in origin.

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The grapheme /sh/ is commonly found in French words. An example from French is 'chaussure' where 'ch' represents the /sh/ sound. However, exceptions exist and additional linguistic analysis may be needed.

The grapheme representing the /sh/ sound is a common characteristic in French words. Therefore, when identifying a word that is likely of French origin, we look for the presence of this grapheme. An example could be the French word 'chaussure', which means shoe in English. The /sh/ sound is represented by the combination of letters 'ch' in this case. However, keep in mind that this is just a general principle and exceptions do exist, so other linguistic analysis might be necessary to confidently determine a word's origin.

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Answer:

5 it just is

Step-by-step explanation:

Answer:

=936x + −937/10

option (A) cy + b/a is the main answer.

The given expression ax - b = cy is an equation with one variable 'x.'

We need to find the value of x. The steps to solve the equation are given below:

Solve for x:Adding 'b' to both sides,ax = cy + b.

Divide both sides by 'a,'x = (cy + b) / a.\

Therefore, option (A) cy + b/a is the main answer.

Therefore, we can conclude that the result of solving the equation ax - b = cy for x is x = (cy + b) / a, and the main answer is option (A) cy + b/a.

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Answer:

13

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x² - 14 ← substitute x = 9 into the expression

= [tex]\frac{1}{3}[/tex] × 9² - 14

= [tex]\frac{1}{3}[/tex] × 81 - 14

= 27 - 14

= 13

Answer:

5^-4

Step-by-step explanation:

The probability that Emma is interviewed first and Bob is interviewed second is 1/90 or 0.0111 (rounded to four decimal places).Hence, the correct option is A. 1/90.

Given:Six people, named Anna, Bob, Chandra, Darnell, Emma, and Francisco, will be interviewed for a job. The interviewer will choose two at random to interview on the first day.

To find:Probability that Emma is interviewed first and Bob is interviewed second.Solution:Total number of ways to choose 2 out of 6 people = 6C2 (using combination formula)

Number of ways Emma is interviewed first and Bob is interviewed second = 1 (since we are given that)Number of ways interviewer can choose 2 people out of remaining 4 = 4C2 (using combination formula)

Total number of ways = 6C2 × 4C2 = (6 × 5 / 2 × 1) × (4 × 3 / 2 × 1) = 15 × 6 = 90 ways

The probability of selecting two candidates, if there are six candidates available, is therefore, (2/6) * (1/5) = 1/15. (Probability of Emma being chosen on the first day multiplied by the probability of Bob being chosen on the second day)

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By applying the Simplex Method or Big M Method to the given problem, the optimal solution for minimizing the objective function Z = 4x₁ + 2x₂ subject to the given constraints is obtained. The optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

To solve the given problem using the Simplex Method or Big M Method, we follow these steps:

Step 1: Convert the problem into standard form:

Introduce slack variables to convert inequalities into equations.

Express any unrestricted variables as the difference of two non-negative variables.

The given problem can be converted into the following standard form:

Minimize Z = 4x₁ + 2x₂

subject to:

3x₁ + x₂ + s₁ = 27

-x₁ - x₂ = 21

x₁ + 2x₂ + s₂ = 30

x₁, x₂, s₁, s₂ ≥ 0

Step 2: Set up the initial Simplex tableau:

Construct the initial tableau using the coefficients of the objective function and the constraints:

  | Cj   | x₁ | x₂ | s₁ | s₂ | RHS |

------------------------------------

Z  | -4   |  0 |  0 |  0 |  0 |  0  |

------------------------------------

s₁ |  0   |  3 |  1 |  1 |  0 | 27  |

------------------------------------

s₂ |  0   |  1 |  2 |  0 |  1 | 30  |

------------------------------------

Step 3: Perform iterations of the Simplex Method:

We start with the initial tableau and iterate until we reach an optimal solution. I will provide the final tableau directly:

| Cj   | x₁ |  x₂ |  s₁ |  s₂ |  RHS |

----------------------------------------

Z  | -2   | 0  |  0  |  1  | -2  |  -27 |

----------------------------------------

x₁ |  1   | 1  |  0  | -1  |  1  |   6  |

----------------------------------------

s₂ |  0   | 0  |  1  | -0.5|  0.5|   3  |

----------------------------------------

The optimal solution is obtained when all the coefficients in the Z row (except Cj) are non-positive. I

n this case, Z = -27, x₁ = 6, and x₂ = 3. The objective function is minimized when x₁ = 6 and x₂ = 3, resulting in Z = -27.

Therefore, the optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

Note: The steps provided above show the general process of solving a linear programming problem using the Simplex Method or Big M Method. The exact calculations and iterations may vary depending on the specific values and coefficients in the problem.

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Answer:

{1,2,3,4,5}

Step-by-step explanation:

Natural numbers  are positive integers

1,2,3,4,5.......

We need those that are less than 6

{1,2,3,4,5}

Answer:

It's D: 1,2,3,4,5.

Step-by-step explanation: A natural number is a positive number that is not 0, and choices A and B have 0 in them, so we can eliminate those choices. For choice C, the question says that x is a natural number less than 6, so it can't include 6. So, we can eliminate Choice C and we are left with Choice D. Your answer is D. Hope this helped

Answer:

Taxonomy

Step-by-step explanation:

The taxonometric way of classifying organisms is based on similarities between different organisms. A biologist named Carolus Linnaeus started this naming system. He also chose to use Latin words.

Answer:

-20

Step-by-step explanation:say hes on 0  when  he moves back 4 hes on -4 when he moves back 4 ore hes on -8 move back 4 more -12 move back 4 more -16  then move back 4 more -20

Answer:

64 = <2

Step-by-step explanation:

Vertical angles are equal so if 1 and 2 are vertical angles

<1 = <2

64 = <2

Answer:

3+5n=5n+10-7

3+5n=5n+3

0=0

The limit of y(t) as t approaches infinity is y = 1.

To determine the limit of y(t) as t approaches infinity, we can analyze the behavior of the differential equation y' = 18y(1 - y^8) without explicitly solving it.

We start by examining the equation y' = 18y(1 - y^8). At y = 0 and y = 1, the term (1 - y^8) becomes 1, which means the right-hand side of the equation is 0. This implies that y(t) will remain constant at y = 0 and y = 1.

Given that y(0) = 16, which is greater than 1, we can conclude that y(t) will approach the stable equilibrium point y = 1 as t approaches infinity. This is because any deviation from y = 1 will result in a term (1 - y^8) that is nonzero and drives the derivative y' towards 0.

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Answer:

y=2x+3

Step-by-step explanation:

2=y-5/x-2

y-5=2x-2

y=2x+3

Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 2 g

volume = 0.2 cm³

So we have

[tex]density = \frac{2}{0.2} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:23

Step-by-step explanation:

2x10-8=12

4x10-5=35

35-12=23

Answer:

-5984

Step-by-step explanation:

I hope this helps!