Problem 4 (12 points). State precisely the Riemann Condition for Integrability for a bounded function on an interval [a, b]. Use the Riemann Condition for Integrability to decide whether the function f: [0,1] → [0, 1], defined by f(x)=z if e Qn [0, 1] and f(x) = 1 if x € [0, 1]-Q, is Riemann integrable.

The conjugate is -7+6i. The correct option is third.

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Given:

On a coordinate plane,

the y-axis is labeled imaginary and the x-axis is labeled real.

Point z is at (negative 7, negative 6).

Z(-7, -6)

So, the equation,

-7-6i

So, the conjugate of the equation is,

-7+6i

Therefore, -7+6i is the conjugate of the points.

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Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

The final answer is x = -3

The value of \(r\) is \(7\)

The given equation is

                        \(5(r-3)=20\)

We will now open the bracket, \(5r-15=20\)

Let's simplify,

                      \(5r=20+15\\5r=35\\r=\frac{35}{5} \\r=7\)

The value of \(r=7\)

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The name of an item that a person can only buy once in one's lifetime are:

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

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Step-by-step explanation:

1 ans :< ACD=x

<B=46

<c=30

exterior angle is sum of interior opposite angle

<ACD = <B + <C

x= 46 +30

x= 76

The minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1.

To determine the minimum number of terms n required for the sum sn to have an error less than 0.0399, we need to use the formula for the error term of a finite series:

|En| ≤ ((M * (b-a)^n)/(n!))

where En is the error term, M is the maximum value of the (n+1)th derivative of the function, a and b are the limits of integration, and n is the number of terms in the series.

Since we do not have a specific function or limits of integration, we cannot determine the exact value of M. However, we can use an upper bound for M, which is the maximum value of the (n+1)th derivative of the function over the entire interval [a,b]. Let's assume that M = K, where K is some constant.

Then we have:

|En| ≤ ((K * (b-a)^n)/(n!))

We want the error to be less than 0.0399, so we can set up the following inequality:

((K * (b-a)^n)/(n!)) < 0.0399

To solve for n, we need to use a numerical method such as trial and error, or a graphing calculator. We can also use a table of values for n! and (b-a)^n to simplify the inequality.

For example, if we assume that K = 1 (which is a reasonable assumption for many functions), and let b-a = 1 (i.e. we are integrating over the interval [0,1]), we can create a table of values for n! and (b-a)^n:

n | n! | (b-a)^n
--|----|---------
1 | 1  | 1
2 | 2  | 1
3 | 6  | 1
4 | 24 | 1
5 | 120| 1
6 | 720| 1

Using these values, we can rewrite the inequality as:

(K/n!) < (0.0399/(b-a)^n)

Plugging in our values, we get:

1/n! < 0.0399

Solving for n using trial and error or a graphing calculator, we find that n = 4 is the minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1. However, keep in mind that this value may change depending on the specific function and limits of integration.

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Answer: B 4,5

Step-by-step explanation:

Answer:

f(0) = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify.

f(x) = 11ˣ + 12

Step 2: Evaluate

Answer:

there are several answers to this question. For instances *( EATING OUT: Have you ever gone out to eat with a group of friends but the waitress brings only one check? To divide up the bill, you’ll need to use fractions. )* *( SPORTS: The NBA Finals are on. Fractions are used to determine statistics and shooting percentages. )*

Step-by-step explanation:

By using substitution method, the equation is 10y²+56y-38.7=0

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x+4y= -8.6

9x-5y=28

By using substitution method,

2x+4y= -8.6

⇒x+2y= -4.3

x= (-4.3/2y)

Substituting x value in the second equation, we get

9(-4.3/2y)-5y=28

-38.7-10y²=56y

10y²+56y-38.7=0

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer:

79.5

Step-by-step explanation:

35 correct = 35x2.5=87.5

32 wrong = 32x-0.25=-8

no. of pts = 87.5+(-8) = 79.5

Answer:

0

Step-by-step explanation:14 subtracted by 14 is 0

The given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

(x + 1)(x + 3)(x + 5)

We have -

(x + 1)(x + 3)(x + 5)

x{(x + 3)(x + 5)} + 1{(x + 3)(x + 5)}

x(x + 3)(x + 5) + (x + 3)(x + 5)

(x² + 3x)(x + 5) + (x + 3)(x + 5)

x²(x + 5) + 3x(x + 5) + x(x + 5) + 3(x + 5)

x³ + 5x² + 3x² + 15x + x² + 5x + 3x + 15

x³ + 9x² + 23x + 15

which is same of the form

ax³ + bx² + cx + d

Therefore, the given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)

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Answer:

ummm

Step-by-step explanation:

look it up

I'm helping you look it up right now

il comment when I find ... ok?

Answer:

$40/5

Step-by-step explanation:

If you're trying to figure out the cost of each class divide the amount of money you pay in all ($40 dollars) by 5. Once you do that you should get 8, so $8 per class.

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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To determine if vector u belongs to the null space of matrix A, we need to perform matrix-vector multiplication between A and u. The null space of a matrix consists of all vectors that, when multiplied by the matrix, result in the zero vector. If A * u = 0, where 0 is the zero vector, then u belongs to the null space of matrix A.

To answer your question, we first need to understand what the null space of a matrix is. The null space of a matrix A, denoted as null(A), is the set of all vectors x such that Ax = 0. In other words, the null space of a matrix is the set of solutions to the homogeneous equation Ax = 0.
Now, if we want to know whether a vector u belongs to the null space of a matrix A, we need to check whether Au = 0. If Au = 0, then u belongs to the null space of A.
So, to answer your question, we need to check whether Au = 0. If it does, then u belongs to the null space of A. If it doesn't, then u does not belong to the null space of A.
The null space of a matrix is an important concept in linear algebra because it helps us understand the behavior of linear transformations and the properties of matrices. The null space is also closely related to the rank of a matrix, which is the dimension of the column space of the matrix. The rank-nullity theorem states that the rank of a matrix plus the dimension of its null space equals the number of columns in the matrix. This theorem is a fundamental result in linear algebra and has many important applications in fields such as engineering, physics, and computer science.

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In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

1:There are 36 girls and 48 boys in the badminton tournament game.

The given ratio of boys to girls in a badminton tournament game is 4:3.

Mariel counted that there are 12 more boys than girls.

Let, x be the number of girls.

Then, number of boys = x + 12

According to the given data, ratio of boys to girls is 4 : 3

Thus, we have:

4/3 = (x + 12)/x⇒ 4x = 3x + 36⇒ x = 36

So, the number of girls in the tournament is 36.

Number of boys = x + 12 = 36 + 12 = 48

Thus, there are 36 girls and 48 boys in the badminton tournament game.

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It will take approximately 2.5 years  for the investment to be worth £2000.

To solve this problem, we can use the formula for compound interest:

\($A = P(1 + r/n)^{nt}$\)

where:

A is the amount of money after t years

P is the principal amount (the initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

We can rearrange this formula to solve for t;

\($t = \frac{\log(A/P)}{\log(1 + r/n)}\div n$\)

Substituting the given values, we get;

\($t = \frac{\log(2000/1800)}{\log(1 + 0.04/1)}\div 1$\)

Simplifying, we get:

\($t = \frac{\log(1.11111)}{\log(1.04)}\approx 3.03\)\($t = \frac{\log(1.11111)}{\log(1.04)}\approx 2.69\) years

Therefore, it will take approximately 2.5 years  for the investment to be worth £2000.

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Complete question:

1800 is invested at 4% compound intreast per year

Answer:

78.3% which would be a C+

Step-by-step explanation:

If the project was worth 20% of your grade and you got 50% on that project, we can multiply the decimal values of these percentages together to know exactly by how much your grade will drop.

0.2 * 0.5 = 0.1 or 10%

Now, we see that your grade will drop 10%. Meaning, that from your 87% you will actually have only 90% of that which is...

87 * 0.90 = 78.3

Therefore, your grade will go down to a 78.3% which would be a C+

Answer:

no he did not

Step-by-step explanation:

well if everyone wanted 14 pieces but he has 13 friends + him if they wanted 14 pieces they would need 182 pieces of

The expression for the probability of picking a purple marble and then a green marble without replacement is: P(P and G') = (p / (4 + p + r)) * (3 / (3 + r))

Let's denote the event of picking a purple marble by P and the event of picking a green marble after a purple marble has been picked by G'. Since we do not replace the marble after the first pick, the probability of picking a purple marble is the proportion of purple marbles in the bag. Let's assume that there are r red marbles, g green marbles (including the 4 already picked), and p purple marbles. Then the total number of marbles in the bag is r + g + p.

Since we know that there are 4 green marbles already in the bag, the total number of marbles in the bag is g + p + r = 4 + p + r. We can use this equation to eliminate g from the probability calculation.

The probability of picking a purple marble is:

P(P) = p / (4 + p + r)

After a purple marble is picked, the total number of marbles in the bag is 4 + r. The probability of picking a green marble from this reduced bag is:

P(G' | P) = (4 - 1) / (4 + r - 1) = 3 / (3 + r)

The probability of both events occurring is the product of their probabilities:

P(P and G') = P(P) * P(G' | P) = (p / (4 + p + r)) * (3 / (3 + r))

We don't have enough information to determine the values of p and r, so we cannot calculate the exact probability. However, we can give an expression for the probability in terms of p and r.

As a final step, we can check that our expression for the probability satisfies some common-sense constraints. The probability should be between 0 and 1, and it should increase as the number of purple marbles increases (since this makes it more likely to pick a purple marble) and decrease as the number of red marbles increases (since this makes it less likely to pick a green marble after a purple one has been picked).

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Step-by-step explanation:

X= {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

P= {2,3,5,7,11,13,17,19,23}

Q= {2,4,6,8,10,12,14,16,18,20,22}

a= {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23}

b= {2,}

c= we first find p'

p'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

c={4,6,8,10,12,14,16,18,20,22}

d=we do same here but we already have p' so we find for q'

q'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

d={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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55.5% is equivalent to 5/9.

percentage, a relative value indicating hundredth parts of any quantity.

A baseball team won of its games of  5/9 this season.

We need to find the equivalent percentage of 5/9.

To convert 5/9 to a percentage, we can multiply it by 100.

(5/9) x 100 = 55.5%

So, the percentage equivalent to 5/9 is 55.5%.

Therefore, 55.5% is equivalent to 5/9.

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Answer:

it a

Step-by-step explanation: