6. (2.5 pts) at the beginning of week 5, they broke up. jack wanted to run off to the city with
diane, but diane said he was crazy. unfortunately, their relationship ended. both were
angry with each other. suppose we could somehow quantify and measure anger. let's
call the units "anger units". on the day of the break-up, jack had 100 anger units. every
week he lost 5% of his anger. recall that the growth factor needs to be the amount that
"stays on" jack (not the 5% that "comes off" jack). for example, after 1 week, he had 95
anger units. after 2 weeks he had 90.25 anger units, and so on. write an equation that
models jack's anger (let that be )) after t weeks.

Answer:

While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3

Step-by-step explanation:

Answer:

more difficult

Step-by-step explanation:

Option d) Z+ ⊆ R . That is not true. There are real numbers that are not integers. There are real numbers between any two consecutive integers.

For the given alternatives, the option that is false is option d. Z+ ⊆ R. a. Z≥ ⊆ ZZ≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}. It includes the set of integers Z. Hence, the statement Z≥ ⊆ Z is true.b. Z+ ⊆ Z≥Z+ is the set of all positive integers. That is {1, 2, 3,....}. It includes the set of non-negative integers Z≥. Hence, the statement Z+ ⊆ Z≥ is true.c. R ⊆ QR is the set of real numbers. Q is the set of rational numbers.

Z is the set of all integers. That is {..., -3, -2, -1, 0, 1, 2, 3, ...}.Z≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}.Z+ is the set of all positive integers. That is {1, 2, 3,....}.Q is the set of all rational numbers. These are numbers that can be written in the form p/q where p and q are integers and q ≠ 0.R is the set of all real numbers. These are numbers that include all rational numbers and also all irrational numbers. These are numbers that cannot be written as the ratio of two integers. Example of irrational numbers are π, √2, √3, etc.The statement Z≥ ⊆ Z means that every non-negative integer is also an integer. That is true.The statement Z+ ⊆ Z≥ means that every positive integer is also a non-negative integer. That is also true.

The statement R ⊆ Q means that every real number is also a rational number. This is not true. There are real numbers that are not rational numbers. Example of irrational numbers are π, √2, √3, etc.The statement Z+ ⊆ R means that every positive integer is also a real number.

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Answer:

a = 3

Step-by-step explanation:

Hope that helps :)

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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By evaluating the expression 4⁻¹ we get 1/4.

Given the expression.

4⁻¹

By applying exponent rule,

a⁻ᵇ = 1/aᵇ

4⁻¹ = 1/4⁻¹

     = 1/4

Therefore by evaluating the given expressions 4⁻¹ = 1/4⁻¹.

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Answer:

Additive inverse is the opposite of a number which when you add to the original number gives a result of zero. In other words change the sign and you are done.

Multiplicative inverse is the reciprocal of the number which when you multiply with the original number the result is 1. In other words flip the number or fraction (exchange the numerator with the denominator)

Step-by-step explanation:

See the picture.

\(\frac{7}{y} < 6\) is an inequality.

\(3-2\) is an expression.

\(4x^{2} +8=9\) is an equation.

Answer:

[see below]

Step-by-step explanation:

An equation is a mathematical statement that states that two expressions are equal. Equations have an equal sign.

An inequality is a mathematical statement that states that two expressions are greater than, less than, greater than or equal to, or less than or equal to.

An expression is a combination of mathematical symbols that show the value of something. It does not have any inequality sign nor an equal sign.

\(\frac{7}{x}< 6\)  is an inequality. It has a less than sign.

3 - 2 is an expression. It does not have any inequality sign nor an equal sign.

\(4^2+8=9\) is an equation. It includes an equal sign.

Hope this helps you.

Answer:

7.746 hours

Step-by-step explanation:

50 / 3 = 16.6

16.6 x 28 = 464.8

464.8 / 60

7.746 hours

Answer:true,true,false, true,false false

Step-by-step explanation:

Answer:

As shown in the attachment,

Step-by-step explanation:

Answer:

ok we dont know what for net time if you where going to post a picture with is press the paperclip button and choose what photo you want.

Step-by-step explanation:

Please mark as brainllest really need this one.  have a nice week

[o]-[o]

\___/

we have the following:

solving:

Therefore, the true statement are the following:

C) 6x = 84

D) X =4

1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.

2. The average utilization of the truck 141.67 seconds.

3. On average, there is 1 person waiting in line.

4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.

1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).

2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.

Average Waiting Time = 1.4167 * (50 + 50)

= 141.67 seconds.

3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.

Utilization = 0.5 / 1.2

= 0.4167 (or 41.67%).

The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.

Average Number of Customers - Average Utilization = 1.4167 - 0.4167

= 1.

4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:

Utilization = Delay Probability / (1 + Delay Probability).

=

Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).

The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.

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Simplifying the expression, we can find the time it will take for the newer pump to drain the pool on its own.

If two pumps can drain a pool together in a certain number of hours and it takes the older pump a certain number of hours to drain the pool alone, we can determine how long it will take the newer pump to drain the pool on its own.

Let's assume that the older pump can drain the pool alone in x hours. The rate of the older pump is 1/x of the pool drained per hour. If two pumps can drain the pool together in y hours, their combined rate is 1/y of the pool drained per hour.

Now, to find the rate of the newer pump, we subtract the rate of the older pump from the combined rate of both pumps:

1/y - 1/x = 1/t

Here, t represents the time it would take for the newer pump to drain the pool on its own. By rearranging the equation, we can solve for t:

1/t = 1/y - 1/x

To find t, we can take the reciprocal of both sides of the equation:

t = 1 / (1/y - 1/x)

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An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a cryptogram, An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a "propositional form" or "logical form."

What is the difference between phrase and word? Word is a synonym of a phrase. Word is a conjunction of a phrase. is that phrase to express (an action, thought, or idea) by means of words while word is to ply or overpower with words?

Students often make the mistake of using synonyms of “and” each time they want to add further information in support of a point they’re making or to build an argument. Here are some cleverer ways of doing this.

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Answer:

Step-by-step explanation:

B

The intersection point of the given three planes is (9/13, 54/13, -10/13).

a) The nature of the system:

The given equation is x + 2y + 3z +4=0.

This is a plane equation.

b) Determining the intersection of the following 3 planes:

The given equations are

x-y-3z-8=0

x + 5y +9z+16=0

x + 2y + 3z +4 = 0

For this, we need to find the values of x, y, and z by solving these 3 equations.

x-y-3z-8=0 and

x + 5y +9z+16=0

By adding these two equations, we get

6y + 6z + 8 = 0or 3y + 3z + 4 = 0.... (1)

Now, substituting the value of z from (1) in x + 2y + 3z +4=0, we get

x + 2y - 9 = 0or x = 9 - 2y.... (2)

We have x and z in terms of y.

Now, substituting the value of x and z from (1) and (2) in x + 5y + 9z + 16 = 0,

we get

54 - 13y = 0or y = 54/13.

Now, substituting the value of y in (2),

we get

x = -16/13.... (3)

Substituting the value of y in (1),

we get

z = -10/13.... (4)

So, the intersection point of the given three planes is (9/13, 54/13, -10/13).

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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The values of x less than or equal to 0.693, we can replace \(sin(x) by x - x^3/6\)  with an error magnitude no greater than \(9x10^-5.\)

To approximate the values of x for which we can replace sin(x) by x - x^3/6 with an error magnitude no greater than \(9x10^-5,\)we can use Taylor series expansion. The Taylor series expansion of sin(x) is given by sin(x) \(= x - x^3/6 + x^5/120\)- ... The error term is determined by the remainder of the Taylor series, which can be bounded by the next term in the series.

In this case, the error term is given by the magnitude of the next term, which is\(x^5/120.\)We want this error to be less than or equal to\(9x10^-5.\)Setting up the inequality\(x^5/120 ≤ 9x10^-5,\) we can solve for x.

Simplifying the inequality, we have \(x^5 ≤ 1080x10^-5.\)Taking the fifth root of both sides, we get \(x ≤ (1080x10^-5)^(1/5)\). Evaluating this expression, we find that x ≤ 0.693.

Therefore, for values of x less than or equal to 0.693, we can replace sin(x) by \(x - x^3/6\) with an error magnitude no greater than \(9x10^-5.\)

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Answer:

Step-by-step explanation: Yes, but ONLY when you are multiplying or dividing.

If Southland is producing at point X, to determine the number of additional schools it can produce without giving up any movies, we need to refer to the concept of production possibilities frontier (PPF).

The PPF represents the maximum output combination of two goods that an economy can produce with its available resources and technology.

In this case, movies and schools are the two goods being produced. If Southland is operating at point X on the PPF, it means it is efficiently allocating its resources to produce a certain quantity of movies and schools. To find out how many more schools can be produced without sacrificing any movies, we need to identify a point on the PPF that lies on the same movie production level as point X.

Let's assume that at point X, Southland is producing 10 movies. To determine the number of additional schools, we need to find a point on the PPF where the movie production level is also 10. Let's say at this point, Southland can produce 20 schools.

Therefore, the answer is 20 more schools.

If Southland is producing at point X and is currently producing 10 movies, it can produce an additional 20 schools without giving up any movies. This calculation is based on the assumption that the PPF remains constant and there are no changes in resource availability or technology.

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Answer: LX - 13z - 2

Step-by-step explanation:

(3z + 4z)= 7z

LX - 7z - (6z - 2)

LX + -7z + -6z + -2

LX + -13z + -2

= LX - 13z - 2

The table for the graph is

x   -2  -1  0  1  2

y  -4   -2 0  2  4

The similarity is: Both lines have positive slopes

The difference is: Both lines have different slopes

From the question, we have the following parameters that can be used in our computation:

y = 2x

The missing y values are at x = 0 and x = 2

So, we have

y = 2 * 0 = 0

y = 2 * 2 = 4

We have

y = x

y = 2x

From the above, the similarity is:

Both lines have positive slopes

And, we have the difference to be

Both lines have different slopes

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Answer:

X=2

Step-by-step explanation:

Add four to both sides

2x-4=0

2x-4+4=0+4

Add the numbers 2x = 4

2x =4

2x/2 = 4/2

cancel the terms

divide the numbers

= x=2

The graph of the given points form the rectangle is attached below.

Graph:

The graph is defined as the pictorial representation or a diagram that represents data or values in an organized manner.

Given,

The points are (2, 1),(2, 5), (7, 1), and (7, 5).

Here we need to plot the graph and we have to identify whether it will form the rectangle.

First, we have to do the following in order to solve it,

Therefore, the resulting graph is attached below.

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The general solution of the system of equations x' = Ax is x = [0, 0].

To find the general solution of the system of equations x' = Ax, where A is the given matrix, we can follow these steps:

Find the eigenvalues of matrix A by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue.

Let's calculate the characteristic equation:

| 1 - λ 1 |

| 0 - λ |

(1 - λ)(-λ) - 1 = 0

λ^2 - λ - 1 = 0

Using the quadratic formula, we find the eigenvalues:

λ = (1 ± √5) / 2

The eigenvalues are (1 + √5) / 2 and (1 - √5) / 2.

Find the corresponding eigenvectors for each eigenvalue.

For λ = (1 + √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 + √5) / 2 1 |

| 0 - (1 + √5) / 2 |

Simplifying:

| -√5 / 2 1 |

| 0 -√5 / 2 |

Solving the system of equations:

(-√5 / 2) * x + y = 0

(-√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (-√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 + √5) / 2 is v1 = [0, 0].

For λ = (1 - √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 - √5) / 2 1 |

| 0 - (1 - √5) / 2 |

Simplifying:

| √5 / 2 1 |

| 0 √5 / 2 |

Solving the system of equations:

(√5 / 2) * x + y = 0

(√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 - √5) / 2 is v2 = [0, 0].

Write the general solution of the system.

Since both eigenvectors are [0, 0], the general solution of the system is x = [0, 0] for all t.

Therefore, the general solution of the system of equations x' = Ax is x = [0, 0].

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