A and B are sets of real numbers defined as follows.
A = {y]y>4}
B = {y|y≤8}
Write A U B and An B using interval notation.
If the set is empty, write.

A U B=
A n B=

The order of asymptotic magnitude is (3!)3 < 3n < n log(3n) < n3 < 3n < 3n.

The order of asymptotic magnitude is (3!)3 < 3n < n log(3n) < n3 < 3n < 3n. This means that the function with the smallest asymptotic magnitude is (3!)3, while the function with the largest asymptotic magnitude is 3n.

To confirm this, let's calculate the growth rate of each function. The growth rate of (3!)3 is 3!3 ≈ 216, which is less than the growth rate of 3n (3n) = 3n, which is greater than the growth rate of n log(3n) (n log3n) = n log3n, which is greater than the growth rate of n3 (n3) = n3, which is greater than the growth rate of 3n (3n) = 3n, which is greater than the growth rate of 3n (3n) = 3n.

Therefore, we can conclude that the order of asymptotic magnitude is (3!)3 < 3n < n log(3n) < n3 < 3n < 3n.

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Answer:The order of asymptotic magnitude is (3!)3 < 3n < n log(3n) < n3 < 3n < 3n

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

The indefinite integral of sin(16x) with respect to x cannot be expressed in terms of elementary functions.

LaTeX, you can display powers using the caret (^) symbol. For example, to display x raised to the power of 2, you would write:

[tex]$x^2$[/tex]

And to display x raised to the power of y, you would write:

[tex]$x^y$[/tex]

To solve this integral, we would typically use numerical or approximate methods, or special functions such as the sine integral or Fresnel integrals.

The indefinite integral of [tex](1 + cos^2(16x))[/tex] with respect to x can be evaluated using the substitution u = cos(16x). The derivative of cos(16x) with respect to x is -16sin(16x), so the integral becomes:

[tex]∫ (1 + cos^2(16x)) dx = ∫ (1 + u^2) du[/tex]

[tex]= 1/3 u^3 + u[/tex]

[tex]= 1/3 cos^3(16x) + cos(16x) + C[/tex]

where C is the constant of integration.

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In the isosceles triangle, the value of x for the first figure is 15

for the second figure,

The value of x is solved using the knowledge of isosceles triangle

An isosceles triangle has the base angles equal hence

2x - 5 = 35

2x = 35 - 5

2x = 30

x = 15

Second figure

7x = 35

x = 5

let the angle at the peak be p

35 + 35 + p = 180 (sum of angles in a triangle)

70 + p = 180

p = 180 - 70

p = 110

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Answer:

[tex]y = 4x + 3[/tex]

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The number of cakes that Andy, Betty, and Colin have will be 13, 52, and 16, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Andy has x cakes, Betty has 4x cakes, and Colin has x + 3. Then the equation is given as,

0.65(x + 4x + x + 3) = £52.65

Simplify the equation, then we have

0.65(x + 4x + x + 3) = £52.65

6x + 3 = 81

6x = 78

x = 13

Then the number of cakes that Betty has is given as,

4x = 4 (13)

4x = 52

Then the number of cakes that Colin has is given as,

x + 3 = 13 + 3

x + 3 = 16

The number of cakes that Andy, Betty, and Colin have will be 13, 52, and 16, respectively.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4(2y + 1)}\\\mathsf{= 4(2y) + 4(1)}\\\mathsf{= 8y + 4}\\\mathsf{\rightarrow 4y + 4y + 4}\\\mathsf{\rightarrow 2(4y + 2)}\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{Option\ A. \ 4y + 4y + 4}}\huge\checkmark\\\\\huge\boxed{\mathsf{Option\ B. \ 4y + 4y + 4}}\huge\checkmark\\\\\huge\boxed{\mathsf{Option\ E.\ 8y + 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

The values of the functions are f(0) = 2, f(2) = 0 and f(4) = -2

The graph that completes the question is added as an attachment

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

The graph

On the graph, we can see that the first curve is a quadratic function,

Also, it has an open circle at x = 1

So, we have:

x² + 2    if x < 1

Next, we have a linear equation with a closed circle at x = 1

So we have:

y = -x + 2 for x ≥ 1

This means that

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The number of friends sharing the bagel will be n.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A bagel is cut into same-size pieces. Some friends share the bagel. Each friend gets one piece.

Let the same size pieces of the bagel be 1/n. Then the number of friends who share the bagel is given as,

⇒ 1 / (1/n)

⇒ 1 x n / 1

⇒ n

The number of friends sharing the bagel will be n.

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Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

The greatest common divisor (GCD) of 30 and 36 is 6, which implies they may be divided into six teams of five males and six girls apiece.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in structure.

Here,

To get the greatest number of teams, each team should have the smallest number of players possible. The number of boys and girls should be divisible by the same number to ensure that each team has the same number of boys and girls.

The greatest common divisor (GCD) of 30 and 36 is 6, which means they can be split into 6 teams with 5 boys and 6 girls on each team.

So the greatest number of teams they could have made is 6.

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Answer:

Top one is (SAS) Middle one is (AAS) Bottom one is (AAA)

Step-by-step explanation:

I hope these were helpful.

The complete expression is 8/6 < 9/6

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

_ / 6 < 9/6

Express properly

So, we have the following representation

_ / 6 < 9/6

Represent the blank with x

x / 6 < 9/6

Multiply both sides of the expression by 6

So, we have the following representation

x < 9

This means that x is any value less than 9

An instance is 8

Hence, the solution to the expression is 8/6 < 9/6

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The domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.

A function is composite when the co-domain of the first mapping is the domain of the second mapping

We shall evaluate the domain of the function (f - g)(4) as follows:

(f - g) = 4x - 3 - (x³ + 2x)

(f - g) = 4x - 3 - x³ - 2x

(f - g) = 2x - 3 - x³

(f - g)(4) = 2(4) - 3 - (4)³

(f - g)(4) = 8 - 3 - 64

(f - g)(4) = -59

Therefore, the domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.

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Option b is the correct answer. It varies from one climograph to another; there is no standard length of time.

A climograph is a graphical representation of climate data that shows the average temperature and precipitation patterns over a certain period of time. The length of time represented on a climograph can vary and there is no set standard. It could be a few months, a year, several years, or even decades. It depends on the specific data and purpose of the climograph. Some climographs may show data from the last 30 years, while others might show data from the last 300 years. The important thing to remember is that the length of time represented on a climograph will vary and there is no set rule for how long it should be.

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The complete question is:

data from what length of time are represented on a climograph? view available hint(s)for part b data from what length of time are represented on a climograph?

a. 30 years 300 years

b. it varies from one climograph to another

c. there is no standard length of time.

d. 30 days 30 months submit

The x intercept is x = 4 and the y intercept is y = 4.

The intercept of a graph is a point at which the graph crosses either the x-axis or the y-axis. For a graph with an x-intercept, the y-coordinate is 0 and the x-coordinate gives the value at which the graph intersects the x-axis.

For a graph with a y-intercept, the x-coordinate is 0 and the y-coordinate gives the value at which the graph intersects the y-axis. In the context of a line or a linear regression model, the intercept is the value of the dependent variable (y) when the independent variable (x) is 0.

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The 5th edition of Applied Partial Differential Equations with Fourier Series and Boundary Value Problems by John D. Fenton covers a wide range of topics related to the use of Fourier series and boundary value problems to solve various partial differential equations.

The solution to the given differential equation is

[tex]$y(x) = \frac{-1}{2 \pi} \sin(4x)$.[/tex]

One example of a solution, to the ODE differential equation

[tex]$\frac{d^2y}{dx^2} + 4y = 0$[/tex]

with the boundary conditions

[tex]$y(0) = 0$[/tex] and [tex]$y(\pi) = 0$[/tex]

is given by the Fourier series

[tex]$y(x) = A \sin(2x) + B \cos(2x) + C \sin(4x) + D \cos(4x)$[/tex]

Where the constants A, B, C, and D are determined by the boundary conditions.

Using the boundary conditions, we find

[tex]$A = 0$[/tex] and [tex]$B = 0$[/tex]

[tex]$C = \frac{-1}{2 \pi}$[/tex] and [tex]$D = 0$[/tex]

Therefore, the solution to the given differential equation is

[tex]$y(x) = \frac{-1}{2 \pi} \sin(4x)$.[/tex]

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90% of all random samples of 50 students obtained at this high school would result in a 90% confidence interval that contains the true mean amount of money students spend on lunch. Hence, the correct statement is option (d).

A confidence interval is a range of values that are expected to contain the true population parameter with a certain degree of confidence, usually expressed as a percentage. Here, a 90% confidence interval means that if we were to repeatedly take random samples of 50 students and compute a 90% confidence interval for each sample, we would expect that 90% of these intervals would contain the true mean amount of money that all students spend on lunch at this high school.

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The complete question is -

Based on a random sample of 50 students, the 90 percent confidence interval for the mean amount of money students spend on lunch at a certain high school is found to be ($3.45, $4.15). Which of the following statements is true?

(a) 90% of the time, the mean amount of money that all students spend on lunch at this high school will be between $3.45 and $4.15.

(b) 90% of all students spend between $3.45 and $4.15 on lunch at this high school.

(c) 90% of all random samples of 50 students obtained at this high school would result in a sample mean amount of money students spend on lunch between $3.45 and $4.15.

(d) 90% of all random samples of 50 students obtained at this high school would result in a 90% confidence interval that contains the true mean amount of money students spend on lunch.

The artist invests $4500 in the 5% account and $23000 in the 4% account.

Let's call the amount invested in the 5% account x. Then, the amount invested in the 4% account is 4x + 5000.

The total annual interest income from the investments is 1145, so we can write an equation:

0.05x + 0.04(4x + 5000) = 1145

Expanding the second term:

0.05x + 0.04(4x) + 0.04(5000) = 1145

0.05x + 0.16x + 200 = 1145

0.21x + 200 = 1145

0.21x = 945

x = 4500

So the artist invests $4500 in the 5% account and $18000 + 5000 = $23000 in the 4% account.

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Answer: Sure! I'd be happy to help you with this.

To find the number of cupcake boxes that fit in the larger box, we need to find the volume of the larger box and divide it by the volume of one cupcake box.

The volume of the larger box is 10.5 x 7 x 7 = 572.5 cubic inches.

The volume of one cupcake box is 3.5 x 3.5 x 3.5 = 42.375 cubic inches.

Dividing the volume of the larger box by the volume of one cupcake box, we get 572.5 / 42.375 = 13.5.

So, 13.5 cupcake boxes will fit in the larger box.

Step-by-step explanation:

The sum of p, q, and r is 27.

The point of intersection of the lines t1 and t2, (x,y), can be found by using the equation of the lines. The equation of t1 is y=mx+c, where m is the slope, and c is the y-intercept. The equation of t2 is y=mx+c, where m is the slope, and c is the y-intercept.

The equations of t1 and t2 can be written as y= 1/2 x + 1 and y= -1/4 x + 7/2 respectively.

By setting the two equations equal to each other, we can find the x-coordinate of the point of intersection (x,y).

x=2 - 7/4 =4/4 - 7/4 = -3/4

Since x=p−q√r, we can write -3/4 = p−q√r.

Rearranging this equation, we get p+q+r= 4/3 + 7/3 + 4/3 = 27/3 = 9.

Therefore, P+Q+R=27.

Therefore, the sum of p, q, and r is 27.

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Histogram of given data is attached below.

A histogram is a graphical representation of data points organized into user-specified ranges.

Given,

Data shows the number of times, 12 visitors went down a water slide.

4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1

Histogram can be drawn as below,

Hence, following is the histogram of given data.

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Let X be the amount Mr Saver invests at t = 0.

The interest he earns during t = 0 to t = 1 can be expressed as:

Interest = X * R * (1/4)

The interest he earns during t = 0.5 to t = 1.5 can be expressed as:

Interest = X * R * (3/4)

Since the interest he earns during t = 0.5 to t = 1.5 is 1.0816 times the interest he earns during t = 0 to t = 1, we can set up the following equation:

X * R * (3/4) = 1.0816 * (X * R * (1/4))

Solving for R, we get:

R = 4.3264 Therefore, the exact value of R

The graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings.

Each cupcake costs $4, and each piece of fudge costs $2.

4x + 2y ≤ 16

x + y ≥ 4

The graph for system of inequalities is attached.

The point (2, 3) included in the solution area for the system

4(2)+2(3)≤ 16

14≤ 16 is true.

2+3≥ 4 is true.

Point (2, 3) included in the solution area for the system.

From the graph (4, 0) is the solution of area for the system.

Hence, the graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.

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Answer:

Step-by-step explanation:

AB= 20

Answer:

B.0.85

C.85/100

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

Answer:

y=883

Step-by-step explanation:

The total cost includes $11 per pizza and the delivery fee. A delivery of 5 pizzas costs $58.
11 (dollars per pizza) x 5 (pizzas were delivered) = 55 dollars

58 (total cost) - 55 (total cost for pizza) = 3 (fee)
11x+3=y (Equation)
input the 80 pizzas to the equation
11(80)+3=y
y= 883

Hope this helps! I took a similar question 3 years ago! =)

Answer:

t = 9cm

Step-by-step explanation:

area = l*w

2(t-3) = 12

2t - 6 = 12

2t - 6 + 6 = 12 + 6

2t = 16

t = 18/2

t = 9

t = 9cm

The total distance travelled by Mrs. Smith was 60 miles

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Mrs. Smith drove 20 miles at a speed of 55 mph. She then drove 40 miles at a speed of 60 mph. Hence:

Total distance = 20 miles + 40 miles = 60 miles

The total distance travelled was 60 miles

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