In the equation y=10x+30, what is the rate of change?

Answer:

C. 0.6

Step-by-step explanation:

If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%

60% = 0.6 in this scenario.

There is a 0.6 chance he will fail.

The Form B=UA. Let A be an m×n matrix and let B be the reduced row-echelon form of A. Then we can write B=UA where U is the product of all elementary matrices representing the row operations done to A to obtain B

Elementary matrix is obtained from identity matrix by a single elementary row ( or column )

The product of two elementary matrices need not always be an elementary matrix.

example

consider two elementary matrices of order 2

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Data

• Morning: 156 times

• Lunch: x times

• Afternoon: 201 times

• Whole day: 562 times

Procedure

To know how many times did it ring at lunch, we have to build a relation, in which we know that the addition of the times in the morning, lunch, and afternoon equal the times it rang the whole day:

Then, we have to solve for x considering that it represents the times it rang during the lunch.

Answer: It rang 205 times during the afternoon.

The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.

To solve for the coefficients in the function g(x), we need to consider the conditions given:

g(x) = { 1, -1, -T ≤ x ≤ 0

{ 1, f(x + 2π) = g(x)

We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.

For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.

For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).

The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).

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Matrix A can be constructed with eigenvalues 1 and 4 and corresponding eigenvectors a and b. Matrix B can be formed with eigenvalues 1 and 3.

(a) To construct matrix A, we need to find a matrix with eigenvalues 1 and 4 and eigenvectors a and b, respectively. Let's denote the eigenvector corresponding to the eigenvalue 1 as a and the eigenvector corresponding to the eigenvalue 4 as b. We can represent matrix A as:

\(A = PDP^{(-1)\),

where P is the matrix whose columns are the eigenvectors a and b, and D is the diagonal matrix containing the eigenvalues 1 and 4. The formula for constructing A using eigenvectors and eigenvalues is derived from the eigendecomposition theorem.

(b) For matrix B, we are given that its eigenvalues are 1 and 3. To construct B, we can follow a similar procedure as in part (a). Let's denote the eigenvector corresponding to the eigenvalue 1 as c and the eigenvector corresponding to the eigenvalue 3 as d. Matrix B can be represented as:

B = \(QDQ^{(-1)\),

where Q is the matrix whose columns are the eigenvectors c and d, and D is the diagonal matrix containing the eigenvalues 1 and 3. Again, this formula is based on the eigendecomposition theorem.

In summary, matrix A can be formed with eigenvalues 1 and 4, and eigenvectors a and b, respectively. Matrix B can be constructed with eigenvalues 1 and 3. The specific construction of these matrices involves using the eigendecomposition theorem and the formula \(A = PDP^{(-1)\) for matrix A and \(B = QDQ^{(-1)\) for matrix B.

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Ty made more money in tips on night 5 than usual because $49 is more than the standard $22 tip level.

A mathematical statement that demonstrates the equality of two expressions is known as an equation. Mathematical operations like addition, subtraction, multiplication, and division may be used, and it frequently involves one or more variables that are represented by letters. Equations are employed in a variety of mathematical and scientific contexts, from the solution of straightforward algebraic problems to the modeling of intricate physical systems. Finding the values of the variables that equalize both sides of the equation is necessary to solve an equation.

given

On night 5, he received the following in tips:

Total tips: ($23 + $29 + $25 + $16) multiplied by the sum of the tips from the first four nights equals $22 * 5.

Ty made more money in tips on night 5 than usual because $49 is more than the standard $22 tip level.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

? = 1/2(230)

A  115°

The range of the given linear function is option 2, which is all real numbers.

A linear function has a constant rate of change, which means that its graph is a straight line. The equation y = 272+ 9 is in the slope-intercept form,
where the slope is 9 and the y-intercept is 272.

Since the slope is positive, the line will have a positive slope, which means that the y-values will increase as x-values increase. Since there is no restriction on the domain of the function (I > -10), the line will continue to increase indefinitely in both directions. Therefore, the range of the function is all real numbers.

Option 1 (-261) is incorrect because the y-intercept of the function is 272, which is greater than -261.
Option 3 (-261 < y < 261) and option 4 (y > -261) are also incorrect because the function continues to increase indefinitely in both directions, so it will have values greater than 261 and less than -261.

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Total yards of ribbon left over making the bows  is 4.75

According to the question, a hairdresser has 8 and 1 over 2 yards (8.5 yards) of ribbon.

She needs 5 over 8 yards \((\frac{5}{8} yards)\) for each bow.

If she is making 6 hair bows. total yards of ribbon required = \(6\) × \(\frac{5}{8}\)

= 3 × (5/4)

= 3.75

She required 3.75 yards of ribbon for making 6 hair bows.

Total yards of ribbon = Used yards of ribbon + left out yards of ribbon

8.5 = 3.75 + Total yards of ribbon left

⇒ Total yards of ribbon left = 8.5 - 3.75

⇒ Total yards of ribbon left = 4.75 yards of ribbon

She is left with 4.75 yards of ribbon.

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Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

Answer:

8a - 7

Step-by-step explanation:

First, subtract 12a from 20a

20a - 12a

= 8a

Now, subtract -3 from -10.

Subtracting a negative number is the same as adding a positive number, so add 3 to -10.

-10 + 3

= -7

Put together 8a and -7

8a - 7

So, the simplified expression is 8a - 7

Answer:

D

Step-by-step explanation:

Answer:

(-3) x (-3) x (-3) x (-3)

(-3)²

In a competition with 16,215 distinct 3-person teams, forty-five basketball players compete, according to the question.

The definition of a solution in algebra is a statistical statement that demonstrates the equality of two mathematical expressions. For illustration, the equations 3x + 5 = 14 consists of the two equations 3x + 5 as well as 14, which are split by the 'equal' sign.

Given that the sequence of selection is irrelevant, the combination of the 3 chosen from the 45 people is what matters.

The calculation is (45!) / [(45-3)! * 3!] = 45*47*46 / (3*2) = 16,215.

Consequently, 16,215 various three-person teams.

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The complete question is-

Forty-five basketball players participate in a tournament. write and solve an equation to find the number x of 3-person teams that they can form.

Answer:

Step-by-step explanation:

Answer:

the length of the hypotenuse must be 10.

Step-by-step explanation:

This is a right triangle, so we can apply the Pythagorean Theorem.

6² + 8² = 10²   so the length of the hypotenuse must be 10.

The powers that have same value as 1^8 are 1^n, n^0 where n=real number.

What are real numbers?

Real numbers are simply the combination of rational and irrational numbers, in the number system. In general, all the arithmetic operations can be performed on these numbers and they can be represented in the number line, also. At the same time, the imaginary numbers are the un-real numbers, which cannot be expressed in the number line and are commonly used to represent a complex number. Some of the examples of real numbers are 23, -12, 6.99, 5/2, π, and so on.

Now,

As we know anything raised to the power of 1 is always one and 0 raised to the power of anything is also one.

Hence, the powers that have same value as 1^8 are 1^n, n^0 where n=real number.

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In a fast-food management program, there are 15 qualified applicants for 8 trainee positions. We are supposed to calculate the number of different groups of trainees that can be selected. For this, we can use the formula for combination. In mathematics, a combination is a way of selecting items from a collection, such that the order of selection doesn't matter.

It is represented as n Cr, where n is the total number of items and r is the number of items to be selected. In this problem, we have to select 8 trainees from a total of 15 qualified applicants. Hence, the solution is as follows: Now, we can use the formula for combination, which is as follows:

n Cr = n!/(r!(n-r)!)  where n is the total number of items, and r is the number of items to be selected. In this case, we have 15 items to choose from, and we want to select 8 of them. Hence, we get:  15C8 = 15!/(8!(15-8)!) 15C8 = (15 × 14 × 13 × 12 × 11 × 10 × 9 × 8!)/(8! × 7 × 6 × 5 × 4 × 3 × 2 × 1)15C8 = 6435  Therefore, there are 6,435 different groups of trainees that can be selected from the 15 qualified applicants for 8 trainee positions in a fast-food management program.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The  number in which the value of the digit in the thousand place as  one-tenth the value of the digit in the ten-thousand place is  44,000.

In 44000, the value of each place is 1/10 the value of the place before it as you move to the right in the place value chart. As a result of moving one place to the left, the value of the digit in the number 44,000's ten thousands place is 10 times greater than that of the digit in the thousands place.

In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form.

These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.

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Answer:

See attached graph

Step-by-step explanation:

Because both expressions are equal to y, they'll intersect each other at a certain point, which is the solution to the system of equations. In this case, as shown by the graph, the point of intersection is (1,3) which means x=1 and y=3.

Answer:

x*(3x^2-7x-24)

Step-by-step explanation:

Answer:

C)  started the practice and concept of microloans

Step-by-step explanation:

E d g e n u i t y 2020

The Grameen Bank of Bangladesh started the practice and concept of microloans.

Grameen Bank is a microfinance organisation and community development bank founded in Bangladesh.

The Grameen Bank of Bangladesh started the practice and concept of microloans, which are small loans given to individuals or groups, typically in developing countries, to help them start or expand small businesses.

The Grameen Bank is known for its focus on providing these loans to women, who are often excluded from traditional banking systems.

The bank has been widely praised for its success in reducing poverty and empowering women, and its model has been replicated in many other countries.

Hence, the Grameen Bank of Bangladesh started the practice and concept of microloans.

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We have to, the solution to the inequality is x >= -2

How to solve the inequality?

To solve the inequality 10x >= -20, we need to isolate the variable x on one side of the inequality sign. We can do this by dividing both sides of the inequality by 10. This gives us:

10x/10 >= -20/10

Simplifying the fractions gives us:

x >= -2

Therefore, the solution to the inequality is x >= -2. This means that any value of x that is greater than or equal to -2 will satisfy the inequality.

Answer: x >= -2

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Answer:

1

Step-by-step explanation:

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

\(\boxed{\mbox{\large{\quad 54\quad }}} \quad\text{ 25\% of last year's attendance}\\\\\boxed{\mbox{\large{\quad 216\quad }}}\quad\text{100\% of last year's attendance}\\\\\)  

Step-by-step explanation:

If we let x be the number of attendees last year then since this year's attendees 270 is 125% of x we get

125% of x = 270

125% as a decimal = 125/100 = 1.25

So we get the equation
1.25x = 270

Divide by 1.25 to get

1.25x/1.25 = 270/1.25

x = 216

So there were a total of 216 attendees last year

25% of last year attendees = 0.25 x 216 = 54

I would typically approach musicians through personal connections, local music societies, or the court of a patron to assemble a group to perform my compositions.

During the classical era, composers relied on various methods to find musicians for their compositions. Firstly, personal connections played a crucial role. Composers often had networks of musicians they knew personally or had worked with previously. These relationships allowed them to reach out to skilled individuals they trusted and were familiar with their playing abilities.

Secondly, local music societies were a valuable resource. These societies provided platforms for musicians to come together, collaborate, and perform. Composers would approach these societies and request their assistance in assembling a group of musicians to perform their compositions. By leveraging the existing infrastructure and talent pool of the music society, composers could find skilled performers. Lastly, composers often sought the support of a patron, such as a noble or a wealthy individual. These patrons had their own court musicians, and composers would approach them to have their compositions performed. By gaining the patron's favor, composers could secure the resources and musicians necessary for their music to be performed on a grander scale.

During the classical era, composers would rely on personal connections, local music societies, and the patronage of influential individuals to gather a group of musicians capable of performing their compositions. These methods allowed composers to showcase their work and ensure that their music was brought to life through skilled performances.

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\((25)_{10} =(11001)_{2} \\(25)_{10} =(31)_{8} \\(25)_{10} =(19)_{16} \\\\(37)_{10}=(100101)_{2}\\(37)_{10}=(45)_{8}\\ (37)_{10}=(25)_{16}\\ \\(40)_{10} =(101000)_{2} \\(40)_{10} =(50)_{8} \\(40)_{10} =(28)_{16} \\\\(45)_{10} =(101101)_{2}\\ (45)_{10}=(55)_{8} \\(45)_{10}=(2D)_{16}\\\\(90)_{10}=(1011010)_{2}\\(90)_{10}=(132)_{8}\\(90)_{10}=(5A)_{16}\\\\\)