1. Domain is all real numbers except ____
2. Range is all real numbers except ____
3. Interval of increase is all real numbers except ____
4. Horizontal asymptote: ____
5. Vertical asymptote: ____

The side lengths are 6 units by 3 units and the perimeter is 18 units

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

Rectangle ABCD has consecutive vertices

A(3, 1), B(3, 7). C(6, 7), and D(6, 1).

The lengths of the rectangles are

AB, BC. CD and DA

Since the vertices share the same x or y coordinate, then we have

AB = 7 - 1 = 6

BC = 6 - 3 = 3

So, the side lengths are 6 units by 3 units

This is calculated as

P = sum of the side lengyhs

So, we have

P =2 * (6 + 3)

Evaluate

P = 18

Hence, the perimeter is 18 units

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Using an empirical probability, the probability of the next purchase order having an error is 0.011, or 1.1%

To find the empirical probability of the next purchase order having an error at XYZ Corp.,
- Determine the total number of purchase orders: 100,000
-Identify the number of purchase orders with errors: 1,100
-Calculate the probability by dividing the number of errors by the total number of purchase orders.

-So, the probability of the next purchase order having an error is:
[tex]\frac{1100}{100000} = 0.011[/tex]
-Rounding to three decimal places, the empirical probability is 0.011, or 1.1% as a percentage.

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A distinct group of objects without regard to their arrangement is called a set. A set is a collection of distinct objects, called elements or members, that are enclosed within curly braces { }. Sets can contain any type of object, such as numbers, letters, symbols, or even other sets.

The elements of a set are not arranged in any particular order and each element appears only once in a set.Sets are used in various fields of mathematics and computer science. They are the building blocks for other mathematical structures, such as functions, relations, and graphs. Sets are also used to define and study mathematical concepts such as cardinality, intersection, union, complement, and power sets.

In computer science, sets are used to represent data structures, such as arrays, hash tables, and trees. They are used to store and manipulate data efficiently, and to perform operations such as search, insert, delete, and sort. Sets are also used in database systems, where they represent collections of records that satisfy certain criteria.

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Answer

[tex]592in^{2}[/tex]

Step-by-step explanation:

A=2(wl+hl+hw)

2·(10·8+12·8+12·10)

=592

Answer: 592

Step-by-step explanation:

so A = 2 (wl+hl+hw)

Then what we will do next is do 2·(10·8+12·8+12·10)

which will give us 592 and that is our answer.

I hope this helps!

Answer:

[tex]t = 10 + 7x[/tex]

t = total

x = hours

t = 10 + 7(6)

t = 10 + 42

t = 52

If Nicole babysits for 6 hours, she will earn 52 dollars.

The statement AUB = A is true if and only if set B is a subset of set A.

To see why this is the case, we can use the definition of set union. Recall that AUB is the set of all elements that belong to either A or B (or both). So, if AUB = A, every element in B must also be in A (since all elements in AUB are also in A). Therefore, B is a subset of A.

In summary, AUB = A is true if and only if every element in B is also in A, which means that B is a subset of A.

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Answer:

A

Step-by-step explanation:

it should be A

Answer:

-5¹⁰

Step-by-step explanation:

(-5⁵)² = -5⁵ˣ² = -5¹⁰ = 9,765,625

Answer: D

Step-by-step explanation:

The terms on quartiles, when matched with their definition would be:

The division of a dataset into two precisely even halves can be achieved through the use of the median, which essentially serves as a separator accompanied by an equal number of values on either side: below and above.

The first quartile (Q1), also recognized as the lower quartile, is situated in the middle position of the submedian half of the data; it divides that specific section equally as well. Correspondingly, the uppermost mid-positioned value located within the other discriminate half of the given data is fittingly titled the third quartile, or Q3.

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The cost price of each shirt is; $8.

They mark up the shirts 25%, that means they increase the price by (25/100) $8 = $2.

So, the selling price of each shirt;

$8 + $2 = $10.

At the end of the year, they sell the shirts for 25% off, that means they reduce the price by (25/100) $10 = $2.50.

Therefore, the selling price of each shirt after the discount, $10 - $2.50 = $7.50.

The profit made on each shirt sold at the end of the year is the difference between the selling price and the cost price, is;

$7.50 - $8 = -$0.50.

Since the profit is negative, it means that the Spirit Club is making a loss of $0.50 on each shirt sold at the end of the year.

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The probability that the number of Internet users who go online at home using a wireless network in a sample of 200 is less than or equal to 50 is approximately 0.9616.

a) x is a binomial random variable because it meets the following criteria:
1. There are a fixed number of trials (n = 200 Internet users in this case).
2. There are only two possible outcomes for each trial (either a user goes online at home using a wireless network or they do not).
3. The probability of success (p = 0.20) remains constant for each trial.
4. The trials are independent, meaning the outcome of one trial does not affect the outcome of any other trial.

b) The question about age seems unrelated to the provided information about Internet users and wireless networks. Please provide more context or information about the age distribution to answer this part.

c) Similar to part (b), we need more information about the age distribution to answer this part.

d) To find the approximate probability that the number of Internet users who go online at home using a wireless network in a sample of 200 is less than or equal to 50, we can use the binomial formula or the normal approximation:

Binomial formula: P(X ≤ 50) = Σ [C(n, k) * p^k * (1-p)^(n-k)] for k = 0 to 50, where n = 200, p = 0.20, and C(n, k) is the number of combinations of n items taken k at a time.

Normal approximation:
1. Calculate the mean (μ) and standard deviation (σ) of the binomial distribution:
  μ = n * p = 200 * 0.20 = 40
  σ = √(n * p * (1-p)) = √(200 * 0.20 * 0.80) ≈ 5.6568
2. Convert the given value (50) to a z-score:
  z = (X - μ) / σ = (50 - 40) / 5.6568 ≈ 1.7678
3. Use a standard normal table or calculator to find the area to the left of the z-score:
  P(Z ≤ 1.7678) ≈ 0.9616

Using the normal approximation, the probability that the number of Internet users who go online at home using a wireless network in a sample of 200 is less than or equal to 50 is approximately 0.9616. Note that this is an approximation, and the exact value can be calculated using the binomial formula.

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Answer:

the rate of change of the monthly demand for blenders with respect to time 3 years from now is approximately -0.0429 blenders per month.

Step-by-step explanation:

To find the rate of change of the monthly demand for blenders with respect to time 3 years from now, we will first need to find an expression for D(p(t)), which represents the demand for blenders as a function of time.

Given the unit price of the blenders, p(t) = 1/12 * t^1.5 + 6, we need to substitute this expression into the demand function D(p):

D(p(t)) = 7225 / (3 * (1/12 * t^1.5 + 6) + 13)

Now, we want to find the rate of change of the demand with respect to time, which is the derivative of D(p(t)) with respect to t. Let's denote this as dD/dt:

dD/dt = d(D(p(t)))/dt

To find the derivative, we can use the chain rule, which states that if we have a function of a function, like D(p(t)), then the derivative is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is D(p) and the inner function is p(t).

Let's first find the derivative of the inner function, p(t), with respect to t:

dp/dt = d(1/12 * t^1.5 + 6)/dt = (1/12) * d(t^1.5)/dt = (1/12) * 1.5 * t^0.5

Now, we need to find the derivative of the outer function, D(p), with respect to p:

dD/dp = d(7225 / (3p + 13))/dp

To find this derivative, we can use the quotient rule, which states that if we have a function in the form of f(x) = u(x) / v(x), then the derivative of f(x) with respect to x is:

df/dx = (v * du/dx - u * dv/dx) / v^2

Applying the quotient rule to D(p):

u(p) = 7225

v(p) = 3p + 13

du/dp = 0 (since 7225 is a constant)

dv/dp = 3

Using the quotient rule:

dD/dp = ((3p + 13) * 0 - 7225 * 3) / (3p + 13)^2 = -21675 / (3p + 13)^2

Now, we can find dD/dt using the chain rule:

dD/dt = dD/dp * dp/dt = (-21675 / (3p + 13)^2) * (1.5 * t^0.5 / 12)

We are asked to find the rate of change of the monthly demand for blenders with respect to time 3 years from now. Since there are 12 months in a year, 3 years is equal to 3 * 12 = 36 months. Therefore, we want to find dD/dt when t = 36:

dD/dt(36) = (-21675 / (3 * (1/12 * 36^1.5 + 6) + 13)^2) * (1.5 * 36^0.5 / 12)

To find the numerical value, use a calculator:

dD/dt(36) ≈ -0.0429

So, the rate of change of the monthly demand for blenders with respect to time 3 years from now is approximately -0.0429 blenders per month.

Answer:[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

The lowest integer value of x that fulfills the given inequality is -3.

If |x| < 4, then we know that x must be between -4 and 4, but not including -4 and 4.

Since x is also an integer, the smallest possible value of x that satisfies this condition is -3.

To see why, consider that the next smallest integer after -3 is -4, which is not allowed since it violates the inequality |x| < 4. Similarly, the next smallest integer before -3 is -5, which is also not allowed.

Therefore,  -3 is the smallest possible value of x that satisfies the given inequality and is an integer.

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If the closing cost is 7% of the purchase price, then the cost for Tiffany's $165,000 house would be approximately $11,550.

To find the closing cost range for Tiffany's $165,000 house, we can use the given percentages of the purchase price.

A) If the closing cost is 2% of the purchase price, then we can find it as:

Closing cost = 2% of $165,000

Closing cost = 0.02 x $165,000

Closing cost = $3,300

Therefore, if the closing cost is 2% of the purchase price, then the cost for Tiffany's $165,000 house would be approximately $3,300.

B) If the closing cost is 7% of the purchase price, then we can find it as:

Closing cost = 7% of $165,000

Closing cost = 0.07 x $165,000

Closing cost = $11,550

Therefore, if the closing cost is 7% of the purchase price, then the cost for Tiffany's $165,000 house would be approximately $11,550.

So, the closing cost range for Tiffany's $165,000 house is between approximately $3,300 (if the closing cost is 2% of the purchase price) and $11,550 (if the closing cost is 7% of the purchase price).

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The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer:

3/9

Step-by-step explanation:

2/6 divided by 2 = 1/3

So, 2/6 times 2 = 2/9

PLS MARK BRAINLIEST...thx

The complete table to prove the solution to the given equation is shown below.

Given that;

Expression is,

1/2 (4x + 12) = 6 (x + 7)

Now, We can simplify as;

1/2 (4x + 12) = 6 (x + 7)

(Given)

2x + 6 = 6x + 42

(By distribution property)

6 = 6x - 2x + 42

6 = 4x + 42

(Subtract 2x both side)

6 - 42 = 4x

4x = - 36

x = - 9

(By division property of equality)

Thus, The complete table to prove the solution to the given equation is shown

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The expression 2344 + 835 has a value of 3179 when evaluated because it is the result of adding the numbers

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

2344 + 835

The above statement is a summation expression that adds the values of 2344 and 835

Also, there is a need to check if there are like terms in the expression or not

This is because we are adding the terms

So, we have

2344 + 835 = 3179

This means that the value of the expression is 3179 i.e the result of adding the numbers

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The width of the monitor screen = 10.72 inches.

Given that,

Width of monitor = 14 in

Height of screen = 9 in

Use Pythagorean theorem to determine the width of the monitor screen.

According to the Pythagorean theorem:

14² = 9² + w²

⇒ 196 = 81 + w²

⇒ w = 115

When both sides are squared,

⇒ w =  10.72 inches

Hence width = 10.72 inches.

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The median is usually appropriate to use when summarizing data for distributions with skewed or asymmetric shapes.

The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median.

These distributions include the positively skewed (right-skewed) distribution and the negatively skewed (left-skewed) distribution. In such cases, the median provides a more robust measure of central tendency than the mean, which may be influenced by extreme values in the tails of the distribution.

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In summary, for the sum of ax^2 + b and mx^2 + nx to be linear, either both x^2 terms should be zero or equal, or both x terms should be zero or equal.

For the sum of ax^2 + b and mx^2 + nx to be linear, the conditions on the integer coefficients a, b, m, and n are:

The coefficients of x^2 terms (a and m) must be zero or equal to each other.

If a = 0 and m = 0, both terms become constant terms (b and n), resulting in a linear expression.

If a = m, the x^2 terms cancel out, leaving only the linear term.

The coefficients of the x terms (b and n) must be zero or equal to each other.

If b = 0 and n = 0, both terms become x^2 terms (ax^2 and mx^2), resulting in a quadratic expression.

If b = n, the x terms cancel out, leaving only the x^2 terms.

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Using the multiplication rule, the joint probability of event A and event B is computed by multiplying the conditional probability of event A given event B by the probability of event B.

Mathematically, it can be represented as P(A and B) = P(A|B) × P(B), where P(A|B) is the conditional probability of A given B, and P(B) is the probability of B.

In other words, the multiplication rule is used to compute the probability of two events occurring together, given the probability of one event occurring and the probability of the other event occurring given the first has occurred. This rule is widely used in probability and statistics to calculate the probability of complex events, especially in cases where events are not mutually exclusive.

For example, consider a scenario where we want to calculate the probability of getting two heads when flipping two coins. Using the multiplication rule, we can calculate this probability as follows: P(Two heads) = P(Head on first flip) × P(Head on second flip given the first flip was a head) = (1/2) × (1/2) = 1/4.

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The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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It will take Denise 4 minutes to resurface.

To determine the time it takes for Denise to resurface, we need to convert the depth from yards to feet and then calculate the time.

Given that 1 yard is equal to 3 feet, the depth of the dive in feet is:

40 yards * 3 feet/yard = 120 feet

Denise rises at a rate of 1 foot every 2 seconds. To find the time in seconds it takes for her to resurface, we divide the depth by the rising speed:

Time in seconds = 120 feet / 1 foot/2 seconds = 240 seconds

Finally, to convert seconds to minutes, we divide by 60:

Time in minutes = 240 seconds / 60 = 4 minutes

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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:
z = (x - μ) / σ
where:
x = 9.5 inches (the cutoff for being considered "smaller")
μ = 9 inches (the mean)
σ = 0.8 inches (the standard deviation)
z = (9.5 - 9) / 0.8 = 0.625
Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.
The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291 So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.
Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.
To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:
P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284
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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:

z = (x - μ) / σ

where:

x = 9.5 inches (the cutoff for being considered "smaller")

μ = 9 inches (the mean)

σ = 0.8 inches (the standard deviation)

z = (9.5 - 9) / 0.8 = 0.625

Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.

The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291

So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.

Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.

To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:

P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284

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The symbol ">" would make the statement true:

1,217 > 700 + 417

The statement "1,217 ___ 700 + 417" is asking us to choose a symbol that represents the relationship between the two values: 1,217 and 700 + 417.

The expression 700 + 417 represents the sum of two numbers: 700 and 417. Evaluating this expression gives us 1,117. So, the statement is essentially asking us to compare the value 1,217 to 1,117 using a symbol that represents the relationship between them.

In this case, we need to choose a symbol that represents "greater than", because 1,217 is greater than 1,117. The symbol ">" is commonly used to represent "greater than", so we can write:

1,217 > 700 + 417

This statement is true because 1,217 is indeed greater than 1,117.

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Carrie will arrive at home at 4:02 PM on the same day she leaves.

To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.

Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.

Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:

92 minutes + 58,858 minutes = 58,950 minutes.

Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:

58,950 minutes ÷ 60 = 982.5 hours.

The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:

0.5 (decimal part) × 60 = 30 minutes.

Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.

To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.

As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:

1:32 PM + 2 hours and 30 minutes = 3:62 PM.

However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:

3:62 PM can be rewritten as 4:02 PM.

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