What number would have a value 1/10 of 1.05

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

\((3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 \)

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

\( \frac{3x}{3} = \frac{36}{3} \)

Which cancels 3 out, and you are left with

x = 12.

Laplace's equation: ∂²u/∂r² + (1/r)∂u/∂r + ∂²u/∂z² = 0 will be considered for finding the steady state temperature u = u(r, z) in the given problem

Since the cylinder is semi-infinite, the boundary conditions are u(r, 0) = 0, h∂u/∂r + U∂u/∂r = 0 at r = c, and u(r, ∞) is bounded as z approaches infinity.

To solve Laplace's equation, we can use separation of variables. We assume that u(r, z) can be written as a product of two functions, R(r) and Z(z), such that u(r, z) = R(r)Z(z).

By substituting this into Laplace's equation and dividing by R(r)Z(z), we can obtain two separate ordinary differential equations:
1. The r-equation: (1/r)(d/dr)(r(dR/dr)) + (λ² - m²/r²)R = 0, where λ is the separation constant and m is an integer constant.
2. The z-equation: d²Z/dz² + λ²Z = 0.

The solution to the z-equation is Z(z) = A*cos(λz) + B*sin(λz), where A and B are constants determined by the boundary condition u(r, ∞) being bounded as z approaches infinity.

For the r-equation, we can rewrite it as (r/R)(d/dr)(r(dR/dr)) + (m²/r² - λ²)R = 0. This equation is known as Bessel's equation, and its solutions are Bessel functions denoted as Jm(λr) and Ym(λr), where Jm(λr) is finite at r = 0 and Ym(λr) diverges at r = 0.

To satisfy the boundary condition at r = c, we select Jm(λc) = 0. The values of λ that satisfy this condition are known as the eigen values λmn.

Therefore, the general solution for u = u(r, z) is given by u(r, z) = Σ[AmnJm(λmnr) + BmnYm(λmnr)]*[Cmcos(λmnz) + Dmsin(λmnz)], where the summation is taken over all integer values of m and n.

The specific values of the constants Amn, Bmn, Cm, and Dm can be determined by the initial and boundary conditions.

In summary, the expression for the steady state temperature u = u(r, z) in the given problem involves Bessel functions and sinusoidal functions, which are determined by the boundary conditions and the eigenvalues of the Bessel equation.

Learn more about Laplace's equation:

brainly.com/question/29583725

#SPJ11

√51 is irrational because it cannot be expressed as a fraction of two integers, while √0.1 repeating is rational because it represents a repeating decimal pattern that can be expressed as the ratio of two integers.

To understand why √51 is irrational while √0.1 repeating is not, let's examine the properties of irrational and repeating decimal numbers.

√51 is irrational because it cannot be expressed as a fraction of two integers. If it were rational, it could be written in the form a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.

However, when we simplify √51, we find that it is an irrational number. The decimal representation of √51 is a non-repeating, non-terminating decimal, indicating that it cannot be expressed as a finite or repeating pattern of digits.

The proof for the irrationality of √51 involves more advanced mathematical concepts, such as number theory or algebraic methods.

On the other hand, √0.1 repeating is a rational number. The notation "0.1 repeating" refers to the decimal representation of the fraction 1/9. When we express 1/9 as a decimal, it becomes 0.1111... with the 1 repeating infinitely.

This repeating pattern occurs because 1 divided by 9 yields a recurring decimal. As a recurring decimal, it is a rational number since it can be expressed as the ratio of two integers. In this case, it can be represented as 1/9.

The key distinction lies in the nature of their decimal representations and the possibility of expressing them as fractions.

For more question on irrational visit:

https://brainly.com/question/20400557

#SPJ8

Answer:

x≥9

Step-by-step explanation:

x-13≥-4

add 13 on both sides

x≥9

Answer:

X - 13 ≥ - 4

x ≥ -4 + 13

x ≥ 9

Answer:

Step-by-step explanation:

Answer: Bippie boppy boo the answer is true!  

Step-by-step explanation: It is B! I did the test

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

To learn more about function refer to:

brainly.com/question/11624077

#SPJ4

Answer:

$240

Step-by-step explanation:

this would be solved using simultaneous equation

let c = cost of cds

d = cost of dvds

two equatiions can be derived from the question

5d + 9c = 285 eqn 1

5d + 5c = 225 equation 2

subtract equation 2 from 1

4c = 60

c = 15

substitute for c in eqn 1

5d + 9(15) = 285

5d = 150

d = 30

5(30) + 6(15) = 240

The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.

To calculate the sample size, we need to use the formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

Where:

n = sample size

Z = z-score corresponding to the desired level of confidence

p = estimated proportion (historical book adoption rate)

E = margin of error (standard error of the proportion)

Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2

Simplifying the equation, we get:

n = (3.8416 * 0.20 * 0.80) / 0.0016

n = 0.61536 / 0.0016

n ≈ 384.6

Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

Learn more about sample size here

https://brainly.com/question/30647570

#SPJ11

Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?

Transition matrix is called a doubly stochastic matrix (if sum of each rows and columns is 1 ).

We can see that the distribution of doubly stochastic matrix for all finite dimensional has Uniform stationary distribution.

Doubly Stochastic Matrix

A transition random matrix P is defined as a dual random matrix if the sum of the rows and columns is one.

Therefore, for each column j of the doubly random matrix, let ∑ ipᵢⱼ = 1. Suppose the distribution π on S also has π₁ = π if the Markov chain starts with the initial distribution π₀ = π. That is, if the distribution at time 0 is π, the distribution of π remains 1, and this π is said to be stationary.

Example: A uniform distribution [[π(i) = 1/N for all i]] is stationary if the N × N stochastic transition matrix P is symmetric. More generally, the uniform distribution is stationary if the matrix P is doubly stochastic, i.e. the columns of P sum to 1 (we already know that the rows of P sum to all 1). are available). It is easy to see that when πn approaches a limiting distribution as n → ∞, this limiting distribution must be stationary. To see this, assuming lim n→∞ πn = π' , and n → ∞ in the equation πₙ₊₁ = πₙP, we get π = π'P. This shows that π' is stationary. So , the arguments given pass clearly and simply when the state space is finite.Hence, the required results is achieved .

For more information on the double random matrix, visit :

https://brainly.com/question/29025233

#SPJ4

Answer:

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

Answer:

the correct answer

x = 6

Step-by-step explanation:

5x+4x-68=34-8x, combine like terms

9x-68=34-8x, add 68 to both sides

9x=102-8x, add 8x to both sides

17x=102, divide both sides by 17

x=6

your friend's answer is the same work, but instead of adding 68 to both sides, it was subtracted from 34 giving a -34 instead of 102.

9x=-34-8x

17x= -34

x = -2

The difference between the volumes of the solids is given as follows:

A. 72π.

The volume of a sphere of radius r is given by the equation presented as follows:

V = 4πr³/3.

The radius is of 6 inches, hence the volume is given as follows:

V = 4π x 6³/3

V = 288π cubic inches.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

Both the radius and the height are of 6 inches, hence the volume is given as follows:

V = π x 6³

V = 216π cubic inches.

Then the difference of the volumes is given as follows:

π(288 - 216) = 72π.

More can be learned about the volume of a sphere at https://brainly.com/question/10171109

#SPJ1

The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

Learn more about the coefficients of a polynomial at

https://brainly.com/question/9071229

#SPJ1

A system of vectors v1, v2, . . . , vn in a vector space v of dimension n is linearly independent if and only if it spans v.

Let's first assume that the system of vectors v1, v2, . . . , vn in v is linearly independent. This means that none of the vectors can be written as a linear combination of the others. Since there are n vectors and v has dimension n, it follows that the system is a basis for v. Therefore, every vector in v can be written as a unique linear combination of the vectors in the system, which means that the system spans v.

Conversely, let's assume that the system of vectors v1, v2, . . . , vn in v spans v. This means that every vector in v can be written as a linear combination of the vectors in the system. Suppose that the system is linearly dependent. This means that there exists at least one vector in the system that can be written as a linear combination of the others. Without loss of generality, let's assume that vn can be written as a linear combination of v1, v2, . . . , vn-1. Since v1, v2, . . . , vn-1 span v, it follows that vn can also be written as a linear combination of these vectors. This contradicts the assumption that vn cannot be written as a linear combination of the others. Therefore, the system must be linearly independent.

Learn more about linearly independent here

https://brainly.com/question/10725000

#SPJ11

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

To know more about sample variance visit:

brainly.com/question/30112124

#SPJ11

Answer:

1) B, 2) C

===========

As per definition, functions have only one y-value per x-value.

Let's test it with given sets and tables.

A)

x y

0 1

0 2

1 3

2 3

B)

x y

1 0

2 0

3 1

3 2

C)

x y

​​−1 −1

0 −1

2 0

3 2

D)

x y

−1 −1

−1 0

0 2

2 3

1) The set of ordered pairs that represents y as a function of x is;

B; {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}

2) The table that represents y as a function of x is; Table 3

An ordered pair is defined as a composition of the x coordinate called the abscissa and the y coordinate called the ordinate having two values written in a fixed order within parentheses.

1) The first function given as  {(−1, 0), (−1, 1), (−2, 2), (0, 3)} ; This cannot be regarded as a function because the input x = - 1 is repeated with different output values.

The second function {(−1, 1), (−2, 0), (−3, 4), (−3, 3)} ; This cannot be regraded as a function because the input x = -3 is repeated with different output values.

The third function {(0, 0), (1, 1), (2, 2), (3, 3)};  This is a function because each input has unique output values.

The fourth function {(0, 0), (1, 0), (2, 4), (2, 3)} ;  This cannot be regraded as a function because the input x = 2 is repeated with different output values.

2) Table 1 cannot be regarded as a function because the input x = 0 is repeated with different output values.

Table 2 cannot be regarded as a function because the input x = 3 is repeated with different output values.

Table 3 is a Function because each input has unique output values.

Table 4 cannot be regarded as a function because the input x = -1 is repeated with different output values.

Read more about Ordered pairs at; https://brainly.com/question/1528681

#SPJ1

Answer:

D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6

Step-by-step explanation:

Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6

Given:

Maria’s hard drive stores 1.0 × 10^6 megabytes of data.

Larry has two hard drives,

Hard drive A = 5.1 × 10^5 megabytes of data

Hard drive B = 7.7 × 10^5

Hard drive A = 5.1 × 10^5

Hard drive B = 7.7 × 10^5

Hard drive A + hard drive B

5.1 × 10^5 + 7.7 × 10^5

= 12.8 × 10^5

Making sure Maria's hard drive and Larry's hard drive are in the same standard form

= 1.28 × 10^6

Maria's hard drive can only store 1.0 × 10^6 megabytes of data while Larry's hard drive can store 1.28 × 10^6

Therefore,

D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6

A. The acceleration due to gravity is represented by a negative number because it acts in the opposite direction of the upward motion of the projectile. It pulls the object downward, causing it to decelerate and eventually fall back to the ground.

B. The formula to represent the height of a projectile at any given time t is: h = (0.5 * a * t^2) + (v * t) + h0, where h is the height, a is the acceleration (-32 ft/s^2), t is the time, v is the initial velocity, and h0 is the initial height.

C. To find the time when the projectile is at a height of 320 feet, we can set h = 320 in the formula and solve for t. 320 = (0.5 * -32 * t^2) + (192 * t) + 0. Solve the quadratic equation to find the value of t.

D. To find the time it takes for the object to reach its maximum height, we need to find the time when the velocity becomes zero. Set v = 0 in the formula and solve for t. Then substitute the value of t into the formula to find the maximum height.

E. To find the time when the projectile lands on the ground, we need to find the time when the height becomes zero. Set h = 0 in the formula and solve for t.

F. If the initial velocity stays the same but the height the projectile is launched from changes, the amount of time it takes for the projectile to reach its maximum height will remain the same. However, the maximum height will change based on the initial height.

G. To increase the amount of time it takes for the projectile to return to the ground by one second, we need to find the height that corresponds to that additional time. Set the time to (t + 1) in the formula and solve for h. Subtract the initial height from the result to find the height above the ground from which the projectile needs to be launched.

Comment if you need more help!

~~~Harsha~~~

Answer:

The area of a circle is 28.26 yd 2

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

To learn more about expression refer to:

https://brainly.com/question/723406

#SPJ1

Answer: its just 12 because a is just a variable

Step-by-step explanation: so like 5 - 7n its just 5 - 7 which in 2 so 12a is just 12

Answer:

-79

Step-by-step explanation:

an=5-7n This is the given equation

Now, we substitute 12 for n and do the equation

a(12)=5-7(12)

a(12)=5-84

a(12)=-79 This is our answer, negative 79

Answer:

0.111111...

Step-by-step explanation:

Hi,

this function is stating that for any x the f is 9(3)^x.

SO if x was -4 it would be 9(3)^-4

Following order of operations we calculate the exponent first.

the answer is 0.1111111...

Check the picture below.

notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.

Answer:

D on edg 2022

Step-by-step explanation:

Answer:

x ={-3, -4, -5 , -6, -7, ...}

Answer:

a’s average speed is 60km/h

Step-by-step explanation:

x = a’s average speed

60/40 = 90/x

Cross multiplication:

60x = 40x90

60x=3600

Divide both sides  by 60

x= 60

Person A's average speed is 60 km/h.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

We can start by using the formula:

Distance = speed x time

Let's denote A's average speed as "S" and the time taken for both A and B as "T".

For person B, we have:

60 = 40 x T

Solving for T, we get:

T = 1.5 hours

Now we can use the same formula for person A:

90 = S x 1.5

Solving for S, we get:

S = 60 km/h

Therefore,

Person A's average speed is 60 km/h.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ7

the answer is -99

Step-by-step explanation:

hope I helped the answer again is -81

Answer:

The first answer.  8x^15 - 125y^3

Step-by-step explanation:

...because 8 is the cube of 2 and x^15 is the cube of x^5; also 125 is the cube of 5 and y^3 is the cube of y.

8x^15 - 125y^3 = (2x^5)^3 - (5y)^3