32-(3^2-1)+20 ÷ 2
I want the solving for this problem please.

Using the concept of place value, the numbers in ascending order are 0.005 < 0.01 < 0.1 < 1/2

Place value is a system used to represent numbers in which the position of a digit determines its value. It is a way of identifying the value of a digit in a number based on its position in the number.

In the decimal system, which is the system most commonly used in everyday life, the place value of a digit is determined by its position in relation to the decimal point. The digit furthest to the left of the decimal point represents the largest place value, while the digit furthest to the right represents the smallest place value.

In this problem, we have to arrange the numbers in ascending order and that will start from the smallest to the largest.

0.005 < 0.01 < 0.1 < 1/2

The answer to this is option A

Learn more on place value here;

https://brainly.com/question/25137147

#SPJ1

The solution of the given system of equations is x = -2.25, y = 8.25 and z = 4.75. This was obtained by using Gauss Jordan method by solving the equations one by one.

The given system of equations is,

x + y + z = 9

x - 2y + 3z = 8

2x + y - z = 3

We will add the first equation to the third equation to get,

3x + 2y = 12

We will subtract the second equation from the first equation to get,

-y + 4z = 1

We will divide the second equation by 4 to get,

z = 0.25

We will substitute the value of z in the third equation to get,

2x + y = 3

We will divide the third equation by 2 to get,

x + 0.5y = 1.5

We will substitute the value of x and y from the third equation in the first equation to get,

1.5 + 0.5y + z = 9

We will substitute the value of z from the second equation to get,

1.5 + 0.5y + 0.25 = 9

We will solve the above equation for y to get,

y = 8.25

We will substitute the value of y in the third equation to get,

2x + 8.25 = 3

We will solve the above equation for x to get,

x = -2.25

We will substitute the value of x and y in the second equation to get,

-2.25 - 2(8.25) + 3z = 8

We will solve the above equation for z to get,

z = 4.75

Hence, the solution of the given system of equations is,

x = -2.25

y = 8.25

z = 4.75

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

The friend

Step-by-step explanation:

18% of 15.85 is 2.85

20% of 14.30 is 2.86

The true statements about the system of equations are:

"They have different y-intercepts"

"he substitution method results in the false statement, 8 = –1"

Here we have the following system of equations:

y = 4x + 8

y = 4x - 1

Remember that the general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

Notice that both equations have the same slope and different y-intercepts, this means that the lines are parallel.

Then the true statements are:

"They have different y-intercepts"

"he substitution method results in the false statement, 8 = –1"

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The product of the circle's radius and the point's distance from the origin determines the distance between the circle and the point.

Straight lines are the shortest path between any two places. The formula for measuring distance can be used to get this distance.

In geometry, distances are always positive unless the points are exactly adjacent. The distance between A and B is equal to the distance between B and A. We consider two points A(a, b) and B to get the formula for the distance between two points in the plane (c, d).

The length of the perpendicular drawn from a point to a line is the distance, or more particularly, the shortest distance of a point from a line, as previously stated.

The distance between the circle and the point is equal to the product of the radius of the circle and the distance the point is from the origin.

To learn more about distance refer to:

https://brainly.com/question/26550516

#SPJ4

There is a 6.7 percent probability that you are making a mistake by failing to reject the null hypothesis. Hence, option C is the correct answer to this question.

The p-value is a measure of the evidence against a null hypothesis. A smaller p-value means that there is stronger evidence against the null hypothesis. A common threshold for rejecting the null hypothesis is a p-value of less than 0.05, which corresponds to a confidence level of 95%. In this case, the p-value of 0.067 is greater than 0.05, meaning that there is not enough evidence to reject the null hypothesis and conclude that there is a statistically significant difference between the two experimental groups. Therefore, there is a 6.7% probability that you are making a mistake by failing to reject the null hypothesis, which means that the two experimental groups may be statistically identical.

Read more about p-value:

brainly.com/question/13786078

#SPJ4

The complete question is -

As a statistician, you conducted an experiment and obtained a t-test value for the two experimental groups. At a confidence level of 5 percent, the corresponding statistical p-value of 0.067 would suggest that:

a. The inherent error of the experiment is calculated to be 6.7 percent.

b. There is probably a statistically significant difference between the two groups of interest.

c. There is a 6.7 percent probability that you are making a mistake by failing to reject the null hypothesis.

d. There is a 6.7 percent probability that you are making a mistake in accepting the experimental hypothesis.

e. The two experimental groups are statistically identical.

The solution for the given system of linear equations is (-1, 4).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are 3x-3y=-21 ----(i) and 3x+3y=15 ----(ii).

Add equation (i) and (ii), we get

3x-3y+(3x+3y)=-21+15

6x=-6

x=-1

Substitute x=-1 in equation (i), we get

3(-3)-3y=-21

-9-3y=-21

-3y=-12

y=4

Therefore, the solution for the given system of linear equations is (-1, 4).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

The sample space is 18. The probability of getting a 2 or a b is 8/18 = 4/9.

The sample space is the set of all possible outcomes of the experiment. In this case, the sample space is all the possible combinations of a die being tossed and a spinner being spun.

There are 6 possible outcomes for the die (1,2,3,4,5,6) and 3 possible outcomes for the spinner (a,b,c). Therefore, the sample space consists of 6x3=18 possible outcomes.

Now, to calculate the probability of getting a 2 or a b, we can count the number of outcomes in which this occurs. There are 4 outcomes that satisfy this condition (2a, 2b, 2c, b). Therefore, the probability of getting a 2 or a b is 4/18 = 8/18 = 4/9.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ4

Answer:

C.

Step-by-step explanation:

The value of A in the given situation would be 3√2 which would calculate the distance to 5.

The total velocity of an object defines its distance regardless of direction.

Regardless of where it started or ended, distance is the amount of space that an object has covered.

We can estimate an object's actual size by knowing how far it is from us.

The following equation is frequently used to calculate the separation between two points: d=((x2 - x1)2 + (y2 - y1)2)

So, the points are as follows:

(2, 3) and (5, A)

Now, calculate using the formula d=((x2 - x1)2 + (y2 - y1)2) as follows:

d=((x2 - x1)2 + (y2 - y1)2)

d=((2 - 5)2 + (A - 3)2)

d=((-3)2 + (A - 3)2)

d=9 + A² + 9

d = 18 + A²

A² = 18

A = √18

A = √2*3*3

A = 3√2

Therefore, the value of A in the given situation would be 3√2 which would calculate the distance to 5.

Know more about distance here:

brainly.com/question/26550516

#SPJ4

The equation 5(2x – 3) = 5  has one solution.

The solution of the equation is x = 2.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, let's solve the equation as follows:

5(2x – 3) = 5

open the brackets

5(2x – 3) = 5

10x - 15 = 5

add 15 to both sides of the equation

10x - 15 = 5

10x - 15 + 15 = 5 + 15

10x  = 20

divide both sides by 10

x = 20 / 10

x = 2

Hence, the solution of the equation is x = 2.

The equation has only one solution.

learn more on equations here:https://brainly.com/question/20014939

#SPJ1

The distributive property when rewritten would be : [-18]a + [-17]b

According to the distributive property, it is mandatory to multiply each of the two numbers by the factor before adding them together when a factor is multiplied by the sum or addition of two terms. A (B+ C) = AB + AC is one way to represent this property symbolically.

Sometimes referred to as the distributive law of multiplication and division, the distributive property has two parts.

When we solve out [-18]a + [17]b, we would get the first part of the question which is

-(18a - 17b)

Read more on distributive property here: https://brainly.com/question/4077386

#SPJ1

The relations we notice between the variables we examined is the relationship linear or quadratic or inverse or logarithmic or something else.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables.

To correctly interpret a statistical study, it is crucial to comprehend the relationships between the variables. How the factors interact impacts how the correct conclusions are drawn. Without knowing this, you run the risk of getting caught in one of the many traps that come with statistical analysis and drawing incorrect conclusions from your data.

Before making decisions based on relationships between variables, it is necessary to research and understand those relationships. Natural science and engineering typically make this easier because you can research how one parameter influences the result being studied while holding all other parameters constant.

Learn more about Variables:

https://brainly.com/question/28496533

#SPJ4

i. The side of ΔNMQ that corresponds to side Y is NQ.

ii. The length of MP is 21.

Similar triangles are two or more triangles that have common properties of their corresponding sides. Though the triangles are not congruent.

From the given question,

i. The side of ΔNMQ that corresponds to side Y is NQ.

ii. Comparing ΔNMQ and ΔOPM, we have;

NM/ OM = QM/ MP

20/ 30 = 14/ (14+ x)

20 (14 + x) = 30 *14

280 + 20x = 420

20x = 420 -280

      = 140

x = 140/ 20

  = 7

x = 7

So that,

MP = (14 + x)

     = 14 + 7

     = 21

MP = 21

The length of MP is 21.

Learn more about similar triangles at https://brainly.com/question/26068068

#SPJ1

The volume of sphere is 1437.33 if the given radius is 7 .

What is Surface area of sphere ?

Surface area of sphere can be defined as the product of four , pi and square of radius. And here the value of pi could be 3.14 or 22/7 .

Given ,

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

Therefore, the volume of sphere is 1437.33 if the given radius is 7 .

To learn more about Surface area of sphere from the given link.

https://brainly.com/question/14692728

#SPJ1

A linear function is a function that represents a straight line when plotted on a coordinate plane.

A linear function is a function that has a constant rate of change and can be represented by a straight line when plotted on a coordinate plane. The equation for a linear function is usually written in the form y = mx + b, where m is the slope and b is the y-intercept. The slope indicates how much the y-value changes when the x-value increases by one unit, and the y-intercept indicates the value of y when x is equal to zero.

When we imply that a linear function has a constant rate of change, we also mean that the rate of change of the output (y-value) with respect to the input (x-value) is always the same.

Linear functions can be used to model many everyday situations such as population growth, speed, distance, and temperature. Linear functions are also used in mathematics to solve equations, calculate slopes, and determine the area under a curve.

You can learn more about linear function at:

brainly.com/question/29205018

#SPJ4

Answer:

No, because the remainder is not equal to zero.

A ratio of two integers where the denominator is not 0 is a mathematical expression that compares the value of two integers, the numerator, and the denominator.

The ratio expresses the relative size of the numerator to the denominator. The numerator and denominator can be any integers, as long as the denominator is not equal to zero.

For example, the ratio of 3 to 4 is written as 3:4 and it means that for every 4 units, there are 3 units of the numerator. Another example is the ratio of 5 to 2, which is written as 5:2 and it means that for every 2 units, there are 5 units of the numerator.

To learn more about ratios at

https://brainly.com/question/13419413?referrer=searchResults

#SPJ4

There are three basic methods of graphing linear functions. The first is by plotting points and then drawing a line through the points. The second is by using the y-intercept and slope. The third is applying transformations to the identity function f(x)=x f ( x ) = x .

Now, According to the question :

What is linear function ?

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

Hence, There are three basic methods of graphing linear functions. The first is by plotting points and then drawing a line through the points. The second is by using the y-intercept and slope. The third is applying transformations to the identity function f(x)=x f ( x ) = x .

Learn more about Linear Function at:

https://brainly.com/question/21107621

#SPJ4

An operation that fills in the blank to make the equation a true statement is addition (+).

In order to determine the required mathematical operation that would make the equation a true statement, we would apply the distributive property of multiplication to the left-hand side (LHS) of the given equation.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

Left-hand side (LHS) = 5(1/2q + 3r - 4s) - 9r

Left-hand side (LHS) = 5/2q + 15r - 20s - 9r

By collecting like terms, we have the following mathematical expression:

Left-hand side (LHS) = 5/2q + (15r - 9r) - 20s

Left-hand side (LHS) = 5/2q + 6r - 20s

In conclusion, we can reasonably infer and logically deduce that the required mathematical operation is addition (+).

Read more on distributive property here; brainly.com/question/18706722

#SPJ1

Answer:

-1g + -7

Step-by-step explanation:

(-5g+-6) + (4g+-1)

(-5g + 4g) + (-6+-1)

-1g + -7

(posible answer)

Based on the data provided in the attached picture the value of f(- 1) is 0.

The function f (x) on the second column assigns a value to the x.  As it can be seen in the given table that at the value of x equal to -1, the function f (x) yields 0.

It can be understood as the given function is f (x) and you need to determine f (-1). Simply it means that you have to put x equal to -1 and check the table for the resulting value. At f (-1), the result obtained is 0.

Therefore, it is concluded that f(- 1) results in 0.

You can learn more about function at

https://brainly.com/question/25638609

#SPJ4

On solving the provided question, we can say that in the parallel lines we have 14x +21 = 87 - 2x +> 12x = 66 =>. x = 10.5

Parallel lines in geometry are coplanar infinite lines that don't intersect anywhere. In a given three-dimensional space, parallel planes are those that never cross. Curves with a constant minimum distance between them and no points of contact or intersection are said to be parallel. Two lines that are in the same plane, equally spaced apart, and never intersect are referred to as parallel lines in geometry. Either horizontal or vertical can apply. Parallel lines can be noticed in everyday objects like railroad tracks, rows of notebooks, and pedestrian crossings.

here,

14x +21 = 87 - 2x

12x = 66

x - 22/4

x = 11/2

x = 10.5

To know more about parallel lines visit:

https://brainly.com/question/16701300

#SPJ1

The value of the rate of change =5 and the value of the initial fee =20

The rate of change (slope) [tex]$=\frac{y_2-y_1}{x_2-x_1}$[/tex]

For solving the given, we will pick any two points,

Let us take the points as:(2,30) and (3,35)

Now, finding the slope of the points:

We will get it as:

[tex]=\frac{35-30}{3-2}=\frac{5}{1}=5[/tex]

So, from above, we can conclude that the equation of the line passing through (2,30) has a slope of 5.

Now further solving:

(y-y1)=m(x-x1)

(y-30)=5(x-2)

(y-30)=5x-10

y=5x+20

Now, comparing the above with the general equation of slope-intercept form:

As we know, in slope-intercept form, we can write it as: y = mx+c, where. m = slope of the line.

For more questions on Slope intercept form:

https://brainly.com/question/1884491

#SPJ4

The required table is attached below:

Answer:1

Step-by-step explanation:

The required value of the upper limit for both the integral are,
4. a = -1 or a = 1/2
5. b = 1

The limit of a sum can be used to express the definite integral of any function, or if the interval [a, b] has an antiderivative F, the definite integral of the function is the difference of the values at points a and b.

Here,

4.
Given expression,
[tex]= \int _{-2}^{a}x^2dx = 7/3\\= [x^3]_{-2}^a = 7 / 3\\= a^3 + 8 / 3 = 7/3\\a=-1,\:a=\frac{1}{2}-\frac{\sqrt{3}}{2}i,\:a=\frac{1}{2}+\frac{\sqrt{3}}{2}i[/tex]

Since as mentioned that a must be greater than -2 so the considered value of a is, a = -1 and a = 1/2, and a graph of the area of the expression is shown,

Similarly,
5.
b = 1
A graph of the area under the given integration has been shown.

Learn more about integration here:
https://brainly.com/question/18125359
#SPJ1

The equations 3x − y + 8 = 0 and 6x − ky = −16 represent coincident lines. So values of k is 2. The correct option is C.

Given the equation

3x − y + 8 = 0

6x − ky = −16 ⇔ 6x − ky + 16 = 0

Here, a₁ = 3, b₁ = -1, c₁ = 8

and    a₂ = 6, b₂ = -k, c₂ = 16

The equations will only represent coincident lines if the two equations have an infinite number of solutions, then [tex]\displaystyle \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex].

Therefore

[tex]\begin{aligned} \frac{a_1}{a_2} & = \frac{b_1}{b_2} \\ \frac{3}{6} & = \frac{-1}{-k} \\ \frac{1}{2}& = \frac{1}{k} \\ k & = 2\end{aligned}[/tex]

So the value of k is 2

Learn more about the two equations in two variables here:

brainly.com/question/19518995

#SPJ4

         A + (100 +4.5A) = 1675

Now, According to the question:

The given data is:

The area of the playground section is 1,675 square feet.

It is 100 square feet more than 4. 5 times the area of the sandbox section.

To write an equation the area, A, of the sandbox section.

The area of the sandbox and playground together is 1675 square feet. Using A as the area of the sandbox section, the playground section is said to be (100 +4.5A).

Then the total area is :

A + (100 +4.5A) = 1675  

Subtract 100 on both sides, we get

5.5A = 1575

Now, The area of the sandbox section is:

A = 1575/5.5 = 286 4/11.

Hence, The area of the sandbox section is about 286.4 square feet.

Learn more about Area of the sandbox at:

https://brainly.com/question/16981910

#SPJ4

The probability of all heads occurring at the end of the sequence is 1/2^100, or approximately 0.00000000079.

Probability is the branch of mathematics that deals with the likelihood or chance of an event occurring. It is a value between 0 and 1 (or 0% to 100%), where 0 represents an impossible event and 1 (or 100%) represents a certain event.

The probability of each outcome in the sequence is 1/2 (i.e. heads or tails). The total number of possible outcomes is 2^100. This means that the probability of all heads occurring at the end of the sequence is 1/2^100. This can be expressed as 1/2 * 1/2 * 1/2 * ... (100 times), which simplifies to 1/2^100, or approximately 0.00000000079.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ4

The relationship between the independent variable (x) and the dependent variable is depicted by a ratio known as a constant of variation (k) (y).

So long as the matrix is singular, we can use any value of k. Thus, k has an unlimited total value.

The ratio of achievable energy to charge-to-mass in a cyclotron is known as the K value, or bending limit, where is the particle's kinetic energy, is the atomic mass number, and is the charge-to-mass ratio.

A ratio called a constant of variation (k) shows how the independent variable (x) and the dependent variable are related to one another (y). If both of those variables have known values, you can find it by dividing y by x.

In order to obtain k given any position, we must divide the y-coordinate by the x-coordinate because k is constant (the same for every point).

To learn more about the value of K refer to:

https://brainly.com/question/9109365

#SPJ4