Is y=4/x-3 linear or non-liner

To arrange the books in the specified order (Mathematics, Science, and English), you need to determine the number of arrangements for each subject's books and then multiply them together.

For the 4 mathematics books, there are 4! (4 factorial) ways to arrange them, which is 4 × 3 × 2 × 1 = 24 ways.

For the 5 science books, there are 5! (5 factorial) ways to arrange them, which is 5 × 4 × 3 × 2 × 1 = 120 ways.

For the 3 English books, there are 3! (3 factorial) ways to arrange them, which is 3 × 2 × 1 = 6 ways.

To find the total number of ways to arrange all the books in the required order, multiply the arrangements for each subject together: 24 (Mathematics) × 120 (Science) × 6 (English) = 17,280 ways.

Learn more about ways to arrange: https://brainly.com/question/4658834

#SPJ11

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = \(\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3\)

The statement "In the statement ~(M ⊃ X)~) governs the simple statement M" is false

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

In the statement ~(M ⊃ X)~) governs the simple statement M.

In logic and binary, the negation of an implication (M ⊃ X) is written as ~(M ⊃ X), which is read as "not (M implies X)".

This statement does not govern or control the simple statement M. The simple statement M can be true or false independently of the negation of the implication.

In other words, the truth value of ~(M ⊃ X)is dependent on the truth values of both M and X, not just M.

Read more about conditional statements at

https://brainly.com/question/12276922

#SPJ1

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

To find the day on which Michael made the purchase, we need to calculate the average daily balance for April.

Let's assume the purchase was made on day X in April. The average daily balance is calculated as follows: (April 1st to X-1) * $822.5 + (X to April 30th) * ($822.5 + $77.19) / 30 = $822.5 + $10.71 Simplifying the equation, we get: (X - 1) * $822.5 + (30 - X + 1) * ($822.5 + $77.19) = $822.5 + $10.71 Solving this equation, we find that X is approximately 15. Therefore, Michael made the purchase on April 15th (option c).

learn more about:- average daily balance here

https://brainly.com/question/31013957

#SPJ11

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

To know more about population, refer here:

https://brainly.com/question/27779235#

#SPJ11

Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

Answer:

24 :)

Step-by-step explanation:

Answer:

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs

Step-by-step explanation:

we have the variables:

x = hours she spends dog-walking

y = hours she spends washing cars.

We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:

x*$9.00 + y*$11.00

And she needs to earn at least $120, then we have the inequality:

x*$9.00 + y*$11.00 ≥ $120

And we also know that she can work, at most, 20 hours per week, then:

x + y ≤ 20 hrs

Then the system of inequalities that represents this situation is:

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs

In order to justify their position candidate make assumption that the price effect would be larger than the quantity effect.

What is Price?

The amount of money required to obtain a certain thing is referred to as its price. Price is a measure of value in the sense that the amount people are willing to pay for a commodity signifies its value.

Concept:

Candidate A claims that raising the sales tax from 5% to 7% will enhance revenue. This suggests that the price effect is greater than the quantity effect because when taxes rise, prices rise and quantities fall; hence, tax revenue will rise only if the price effect is more than the quantity effect.

And Candidate B claims that the tax would harm merchants and customers, slow the economy, and reduce tax revenue, but only if the quantity effect outweighed the price effect.

As a result, Candidate A believes that the price effect will be greater than the quantity effect.

To learn more about Price visit:

brainly.com/question/19091385

#SPJ4

The square root function involves the square root symbol √ which is  mostly read as "square root of", the rule says that the square root of a number 'x' is a number 'y' such that y² = x.

We know that the square root of a number can be either positive or negative, but while defining the square root function, we restrict its range to be the set of all positive real numbers and hence making all square roots possible to be positive.

If the range for the square root of a number is set to be positive as well as negative it wont be a function that is why there is a restriction to the range of this set allowing only positive real numbers.

To learn more about square root, click here:

brainly.com/question/29286039

#SPJ4

The value of given differential equation \(y' = y - x\) with the initial condition \(y(0) = 1.5\), on the interval \(0 \leq x \leq 1.5\), is \(y(1.5) = y_4 = 5.4296875\).

The differential equation we are given is \(y' = y - x\), with the initial condition \(y(0) = 1.5\). We are asked to approximate the solution on the interval \(0 \leq x \leq 1.5\) with a step size of \(h = 0.5\), and we want to achieve an accuracy of \(e = 0.0001\).

We start by calculating the first two values, \(y_0\) and \(y_1\), using the formula:

\(y_1 = y_0 + h \cdot f(x_0, y_0)\)

Here, \(h\) represents the step size, \(f(x, y)\) represents the derivative \(y'\) in terms of \(x\) and \(y\), and \((x_0, y_0)\) is the initial condition.

Using the given values, we can calculate \(y_1\) as:

\(y_1 = 1.5 + 0.5 \cdot (1.5 - 0) = 2.25\)

Next, we calculate \(y_2\) using the same formula:

\(y_2 = y_1 + h \cdot f(x_1, y_1)\)

Substituting the values \(x_1 = 0.5\) and \(y_1 = 2.25\), we get:

\(y_2 = 2.25 + 0.5 \cdot (2.25 - 0.5) = 3.375\)

Similarly, we can calculate \(y_3\) and \(y_4\) as:

\(y_3 = 3.375 + 0.5 \cdot (3.375 - 1) = 4.3125\)

\(y_4 = 4.3125 + 0.5 \cdot (4.3125 - 1.5) = 5.4296875\)

So, the value of \(y\) at \(x = 1.5\) is \(y(1.5) = y_4 = 5.4296875\).

Using Euler's method with a step size of \(h = 0.5\) and an accuracy of \(e = 0.0001\), the solution to the given differential equation \(y' = y - x\) with the initial condition \(y(0) = 1.5\), on the interval \(0 \leq x \leq 1.5\), is \(y(1.5) = y_4 = 5.4296875\).

To know more about Euler's method, click here

https://brainly.com/question/30699690

#SPJ11

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

Learn more about probability here:

https://brainly.com/question/27223994

#SPJ4

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

To know more about the "variables": //brainly.com/question/25223322

#SPJ11

Answer:

Step-by-step explanation:

Not true: Right angle is not 90 degrees  because all right angles must be 90 degrees

Answer:

x=30degrees

Step-by-step explanation:

the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d

The length of Hypotenuse is 3√2 unit.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Angle= 45 degrees

Hypotenuse = x

Using Trigonometry in Triangle 1

sin 30 = P/ 6

1/2 = P/6

P= 3 unit

Now, In triangle 2

cos 45 = 3/H

1/√2 = 3 / H

H= 3√2 unit

Learn more about Trigonometry here:

https://brainly.com/question/12161397

#SPJ3

Answer:

1.625 hours

Step-by-step explanation:

The equation is

d = rt  where d is distance  r is rate and t is time

65 = 40 *t

Divide each side by 40

65/40 = t

1.625 hours = time

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

Its 300

Step-by-step explanation:

Because 100 x 30 = 300

The algebraic expression for the given sentence would be: 9(x - 7)

What is an algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations.

The difference between "a number" and 7 can be found by subtracting 7 from x. This gives us the expression (x - 7). We then need to multiply this expression by 9 to get the final result. So the algebraic expression that represents the sentence is:

9(x - 7)

This tells us to take "a number," subtract 7 from it, and then multiply the result by 9.

Note that we don't simplify this expression as the instruction says that we do not need to simplify it. If we were to simplify it, we would get:

9x - 63

This represents the same thing as 9(x - 7), but it's a simplified version of the expression.

Therefore, The algebraic expression for the given sentence would be:

9(x - 7).

To learn more about algebraic expression from given link

https://brainly.com/question/19245500

#SPJ9

Answer:

Distance between two point = 3.6 (Approx.)

Step-by-step explanation:

Given:

Coordinate;

(-4, -6) and (-1, -4)

Find:

Distance between two point

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between two point = √(-4 + 1)² + (-6 + 4)²

Distance between two point = √(-3)² + (-2)²

Distance between two point = √9 + 4

Distance between two point = √13

Distance between two point = 3.6 (Approx.)

The addition table for Z10, also known as the integers modulo 10, is as follows:The multiplication table for Z10 is as follows:

In Z10, the elements that have multiplicative inverses are 1, 3, 7, and 9. This means that for each of these numbers, there exists another number that, when multiplied together, equals 1 modulo 10. For example, the multiplicative inverse of 3 is 7 because 3 * 7 ≡ 1 (mod 10).

An example in Z10 where ab = ac but b ≠ c is a = 2, b = 5, and c = 0. In this case, 2 * 5 ≡ 2 * 0 (mod 10) because both equal 0 (mod 10). This example is related to the existence of multiplicative inverses because it shows that not all elements in Z10 have multiplicative inverses. However, in this example, b ≠ c, indicating that 2 does not have a multiplicative inverse in Z10.

To know more about addition visit:

https://brainly.com/question/29464370

#SPJ11

The largest number of participants at the concert was 4.

To determine the largest number of participants at the concert, we need to find the least common multiple (LCM) of 1050, 1575, and 3150. The LCM is the smallest positive integer that is a multiple of all three numbers.

The prime factorization of 1050 is 2 * 3 * 5 * 5 * 7.

The prime factorization of 1575 is 3 * 5 * 5 * 11.

The prime factorization of 3150 is 2 * 3 * 5 * 5 * 7 * 11.

The LCM of 1050, 1575, and 3150 is therefore 2 * 3 * 5 * 5 * 7 * 11 = 31500.

Since each participant received one of each item, the largest number of participants at the concert was

31500 / (1050 + 1575 + 3150) = 31500 / 7775 = 4.

Therefore, the largest number of participants at the concert was 4.

To learn more about the LCM, visit:

brainly.com/question/20739723

#SPJ4

Answer:

Step-by-step explanation:

First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

Probabilities:

does not have a sister = \(\frac{2 + 7}{24}\) = 0.375 or 37.5%  (multiply decimal by 100 to get percentage.

Has a brother = \(\frac{3 + 2}{24}\) = 0.208 or 20.8%

Does not have a brother = \(\frac{12 + 7}{24}\) = 0.7916 or 79.2%

Has a sister = \(\frac{3 + 12}{24}\) = 0.625 or 62.5%

To find the value of j - i, we need to determine the relationship between the surface areas (An) and volumes (Vn) of the unit ball in Rn for different positive integers n.

For the unit ball in Rn, the formula for surface area (An) and volume (Vn) are given by:

An = (2 * π^(n/2)) / Γ(n/2)

Vn = (π^(n/2)) / Γ((n/2) + 1)

where Γ denotes the gamma function.

To find the value of j - i, we need to identify the positive integers i and j such that Ai > Ak for all k not equal to i, and Vj > Vk for all k not equal to j.

First, let's analyze the relationship between An and Vn. By comparing the formulas, we can see that:

An / Vn = [(2 * π^(n/2)) / Γ(n/2)] / [(π^(n/2)) / Γ((n/2) + 1)]

      = 2 / [n * (n-1)]

From this equation, we can deduce that An / Vn > 1 if and only if 2 > n * (n-1).

To find the positive integer i, we need to identify the highest positive integer n for which 2 > n * (n-1) holds true. We can observe that this condition is satisfied for n = 2. Therefore, i = 2.

Now, let's find the positive integer j. We need to identify the lowest positive integer n for which 2 > n * (n-1) does not hold true. We can observe that this condition is no longer satisfied for n = 3. Therefore, j = 3.

Finally, we can calculate j - i as follows:

j - i = 3 - 2 = 1

Therefore, j - i equals 1.

To know more about integer visit-

brainly.com/question/32066988

#SPJ11

Answer:

y = 20

Step-by-step explanation:

Angles 2 and 4 are vertical angles, so their measures are equal.

m<2 = m<4

62 = 3y + 2

60 = 3y

y = 20

Answer: You need 36 gallons of water to fill the tank.

Step-by-step explanation:

Find out how much 55 percent of 80 gallons is:

55/100

x/80

55x80=4400/100=44

44 gallons are currently in the tank

Then, subtract that amount from the total:

80-44=36

Answer:

69

Step-by-step explanation: