Jada walks at a speed of 3 mph Elena walks at a constant speed of 2.8 mph. How much farther would they be after 3 hrs?

Answer:

As x --> ∞, then y --> - ∞

Step-by-step explanation:

As the value of x increases(as the graph goes right), the graph seems to go down, meaning the y-values are getting more an more negative. This means that as x approached infinity, the y values approach negative infinity ( x --> ∞, y --> - ∞ ).

As the value of x decreases(going to the left), the graph seems to go higher and higher. Therefore, as x approaches negative infinity, the y-value approach infinity. ( x --> - ∞, y --> ∞ )

Out of the options given, the one As x --> ∞, then y --> - ∞ is true.

Answer:

Step-by-step explanation:

40 desks

The parametric vector form of the matrix is AX = < t 0 3/5t> where t is any real number.

Matrices are an important mathematical tool that can be used to represent and solve a wide array of problems.

In this problem, we are given a matrix A, which is row equivalent to the given matrix [1 -3 -8 5 0 12 -4] and asked to describe all solutions of Ax = 0 in parametric vector form.

To answer this question, we first need to use row operations to transform the given matrix into row-echelon form. After applying row operations, the matrix becomes [1 0 -5/3 0 2/3 0 1].

We can now use this matrix and the equation Ax = 0 to identify the solutions in parametric vector form.

The first column of the matrix has a coefficient of 1, indicating that x₁ is free and can take on any real value.

The second column has a coefficient of 0, indicating that x₂ = 0.

The third column has a coefficient of -5/3, indicating that x₃ = 3/5t, where t is a real number.

Then the resulting vector form is written as,

=> AX = < t 0 3/5t> where t is any real number.

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Answer:

24 years old

Step-by-step explanation:

Jim = 2x + 4

Mark = x

Sum of their ages = 34

2x + 4 + x = 34

2x + x = 34 - 4

3x = 30

3x / 3 = 30 / 3

x = 10

Mark = 10 years old

Jim = 2x + 4

= 2 ( 10 ) + 4

= 20 + 4

= 24

Therefore, Jim is 24 years old

The correct expression after subtraction is,

⇒ 7/8 - 3/4 = 1/8

Option C is true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, We can all the expressions as,

A). 3/4 - 1/2 = 1/4

LHS;

⇒ 3/4 - 1/2

⇒ (6 - 4) / 8

⇒ 4/8

⇒ 1/2 ≠ 1/4

Hence, It is not true.

B. 9/16 - 4/8 = 5/8

LHS;

⇒ 9/16 - 4/8

⇒ (9 - 8)/16

⇒ 1/16 ≠ 5/8

Hence, It is not true.

C. 7/8 − 3/4 = 1/8

LHS;

⇒ 7/8 - 3/4

⇒ (7 - 6)/8

⇒ 1/8

Hence, It is true.

D. 7/15 − 1/3 = 6/15

LHS;

⇒ 7/15 - 1/3

⇒ (7 - 5)/15

⇒ 2/15 ≠ 6/15

Hence, It is not true.

E. 1/2 − 1/20 = 10/20

LHS;

⇒ 1/2 - 1/20

⇒ (10 - 1)/20

⇒ 9/20 ≠ 10/20

Hence, It is not true.

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The expression that refers the operation "0.04 divided by n" is written as 0.04/n

An expression is a mathematical statement that contains operators, variables, and constants.

In this case, we want to write an expression that will represent the division of 0.04 by n.

The expression for this would be 0.04/n, where n is the number being divided by 0.04.

This expression shows that when 0.04 is divided by n, the result is 0.04 divided by n.

The expression can be used to calculate the result of any division problem involving 0.04 and n

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It should be noted that the line of symmetry for the shape will be 5.

A line of symmetry is a line that divides a shape into two congruent parts that are mirror images of each other. In other words, if you fold the shape along the line of symmetry, the two halves will perfectly overlap.

Here are some examples of shapes and their lines of symmetry:

Square: A square has four lines of symmetry, which are the vertical, horizontal, and two diagonal lines.

Rectangle: A rectangle has two lines of symmetry, which are the vertical and horizontal lines.

Circle: A circle has an infinite number of lines of symmetry, because you can draw a line through the center in any direction.

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The solution to the inequality is x ≤ 1.

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

To solve this inequality, we must first perform the operations on the left side of the equation to get an expression equal to 4. We can start by simplifying the fraction on the left side of the equation. We can multiply both the numerator and denominator by x, which will give us 5x - 3 = x + 2x. We can then add 3 to both sides to get 5x = 3 + 2x, which can then be simplified to 3x = 3. Finally, we can divide both sides by 3 to get x = 1. Therefore, the solution to the inequality is x ≤ 1.

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Answer:

[tex]2x^{2}[/tex] + [tex]2x[/tex] + [tex]2[/tex]

Step-by-step explanation:

1. In the expression: C - 3D, we plug in the values of C and D

2. So we get the expression: [tex](2x^{2} + 5x -1) - 3(x - 1)[/tex]

3. Then we simplify this even more: [tex](2x^{2} + 5x -1) - (3x + 1)[/tex] by multiplying 3 to the numbers in the parentheses

4. Now we can remove the parentheses: [tex]2x^{2} + 5x - 1 - 3x + 3[/tex]

5. Now we can put the like terms next to each other: [tex]2x^{2} + 5x - 3x + 3 - 1[/tex]

6. FINALLY we simplify: [tex]2x^{2} + 2x + 2[/tex]

Hope this helps! <3

The location of the 83rd percentile for a data set with 40 observations would be 34.03.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.


A percentile is a value on a scale of one hundred that indicates the percentage of a distribution that is equal to or below it. For example, the 83rd percentile for a data set with 40 observations would indicate that 83% of the observations in the data set are equal to or less than 34.03. To calculate the location of a given percentile, the formula is (p/100) * n, where p is the given percentile and n is the total number of observations. Therefore, for a data set with 40 observations and an 83rd percentile, the formula would be (83/100) * 40 = 33.2, which would be rounded up to 34.03.

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Answer:

I don’t understand

Step-by-step explanation:

I had the same one

Answer: Correct option is B

Step-by-step explanation:  3/6 + 2/6 = 5/6

The domain of the function; R (c) as required is; [0, 150].

The range of the function; R (c) as required is; [0, 450].

As evident in the task content; the given function is; R (c) = 3c and the class has a maximum of 150 bags to sell.

In Essence, the possible values of c are such that; 0 ≤ c ≤ 150.

The domain is therefore; [0, 150].

Hence, the range is; 3(0) ≤ R(c) ≤ 3(150).

Ultimately, the range of the function is; 0 ≤ R (c) ≤ 450.

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A regression line is a line of​ means, and outliers have a big effect on the regression line.

Regression:

Regression is a statistical method used in finance, investing, and other disciplines that attempts to determine the strength and character of the relationship between a dependent variable (usually denoted by Y) and a set of other variables (called variables independent). Also known as simple regression or ordinary least squares (OLS), linear regression is the most common form of this technique. Linear regression establishes a linear relationship between two variables based on a line of best fit. So the linear regression is plotted with a straight line and the slope defines how changes in one variable affect changes in the other variable.

Regression Line:

Regression lines are very useful for the forecasting process. The purpose of this line is to describe the relationship between the dependent variable (variable Y) and one or more independent variables (variable X). Using the equation obtained from the regression line, the analyst can predict the future behavior of the dependent variable by entering different values ​​for the independent variable. Regression lines are widely used in the financial industry and in business in general.

The regression line formula is like the following:

Y = a + bX + u

The multiple regression formula looks like this:

Y = a + b₁X₁ + b₂X₂ + b₃X₃ + … + btXt +u.

Y is the dependent variable

X is the independent ones

a is the interception point

b is the slope

u is the residual regression.

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Answer:

Step-by-step explanation:

The statement "x = y² - 9" is not a function because for some values of y, there are multiple corresponding values of x.

A relation between a set of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

Now in the given question ,

In particular, when y = 3, there are two possible values of x (x = 0 and x = 6), so (3, 0) and (3, 6) are two points on the graph of this equation. This violates the definition of a function, which states that for each input (in this case, y), there can only be one output (x). The other statements are not relevant to determining whether the equation is a function.

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The value 0.5625 as a fraction is 9/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

.5625*100/100 = 9/16

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The coordinate of point C which is 7 / 8 of the distance from M to J is 16 .

The first step is to find the distance between M and J to be :

= Coordinate of J - Coordinate of M

= 18 - 2

= 16

The distance that is 7 / 8 between M and J is :

= 16 x 7 / 8

= 14

The coordinate of C would be :

= Coordinate of M + 7 / 8 distance

= 2 + 14

= 16

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The unknown variables in parallelograms above include the following:

x = 8 units.

y = 27 units.

x = 20°

x = 9°

In Mathematics, a parallelogram simply refers to a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In this context, we have:

2x - 5 = 11

2x = 11 + 5

2x = 16

x = 8 units.

y + 1 = 28

y = 28 -1

y = 27 units.

Generally speaking, the opposite angles of a parallelogram are always congruent or equal and as such, we have the following:

(7x - 1)° = 139°

7x = 139° + 1°

7x = 140°

x = 140/7

x = 20°

For parallelogram b, we have:

(7x - 10)° = (6x - 1)°

7x - 6x = -1 + 10

x = 9°

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The height of the school building is approximately 9.69 meters or 10.53 meters (rounded to the nearest hundredth).

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the studies of relationships between angles and sides of triangles.

Let's denote the height of the school building as "h".

From the given information, we can draw a right triangle with the mirror on the ground, the top of the school building, and Aria's eyes as the vertices. The distance from Aria to the mirror is 1.25 meters, and the distance from the mirror to the school building is the unknown height "h". The distance from Aria's eyes to the mirror is 1.15 meters.

We can use similar triangles to set up an equation to solve for "h".

In the smaller triangle formed by Aria's eyes, the mirror, and the point directly below the top of the school building, we can see that:

h/1.25 = (h + 1.15)/11.45

This equation comes from the fact that the ratios of corresponding sides in similar triangles are equal.

Simplifying this equation gives us:

1.45h = 14.06875

Dividing both sides by 1.45 gives us:

h ≈ 9.6931

Hence, The height of the school building is approximately 9.69 meters or 10.53 meters (rounded to the nearest hundredth).

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The ratios are equivalent by simplifying is shown below.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

We have first ratio 3:1

and, second 6:2 on simplifying we get 3:1.

and, third 9: 3 on simplifying we get 3:1.

and, Fourth 12:4 on simplifying we get 3:1.

So, all the ratio gave same value on Simplification which shows the ratios are Equivalent.

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The three double-angle identities are :

1.[tex]$\cos(2\theta) = \cos^2\theta - \sin^2\theta$[/tex]

2. [tex]$\sin(2\theta) = 2\sin\theta\cos\theta$[/tex]

3. [tex]$\tan(2\theta) = \frac{2\tan\theta}{1-\tan^2\theta}$[/tex]

The three double angle identities are equations that relate the cosine, sine, and tangent of twice an angle to the cosine, sine, and tangent of the original angle. these identities are useful in trigonometry, as they make it possible to express a double angle in terms of its simpler  angle components.

The first identity states that the cosine of twice an angle is equal to the square of the cosine of the original angle, minus the square of the sine of the original angle. the second identity, states that the sine of twice an angle is equal to twice the product of the sine and cosine of the original angle.

The third  identity states that the tangent of twice an angle is equal to twice the tangent of the original angle, over one minus the square of the tangent of the original angle,

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Answer:

See below

Step-by-step explanation:

A) If [tex]DF\cong GH[/tex], then both triangles will be congruent by the ASA postulate

B) If [tex]DE\cong GI[/tex], in addition to one of the corresponding leg pairs being congruent to each other (so EF+IH or DF+GH), then the triangles will be congruent by the HL theorem

The NumPy matrix inverse is a function that calculates the inverse of a given square matrix.

The NumPy matrix inverse function is a strategy that works out the opposite of a square grid involving the NumPy library in Python. The inverse of a matrix is a matrix that, when duplicated by the first grid, creates the identity matrix.

In NumPy, the matrix inverse function is executed as the linalg.inv() technique, which takes a NumPy cluster as information and returns its converse as an exhibit. The matrix should be square and invertible, the importance of its determinant isn't equivalent to nothing. The matrix inverse is utilized in different fields of math, designing, and science to solve systems of linear equations, track down the eigenvalues and eigenvectors of a network, and perform different procedure on matrices.

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There are about 6 "basic" types but there could be more

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

Quadrilateral Types:

Answer:

Unit rate = 0.6

y = 0.6x

x= 24

Step-by-step explanation:

I cannot see the headings to the table, but on examining the questions, the first column contains the values for variable x and the second column the values for variable y

Unit Rate

Unit rate = increase in y for a unit increase in x
We see that the rate is constant for every unit increase in x and is = 0.6
Unit rate = 0.6

Equation
The equation therefore is y = 0.6x

Value of x when y = 14.4
When y = 14.4, plugging into the equation gives:
14.4 = 0.6x
or
0.6x = 14.4  by switching sides - no effect on equation

Divide both sides by 0.6
0.6x/0.6 = 14.4/0.6
x= 24

Since the given functions represent the cost for water and sewer separately, the total cost will be the sum of both.

For water usage, W(x) = 0.129x, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

W(x) = 0.129 * (3800/100) = $4.91 (rounded to the nearest cent)

For sewer usage, S(x) = 0.158x + 16.22, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

S(x) = 0.158 * (3800/100) + 16.22 = $21.12 (rounded to the nearest cent)

Therefore, the total amount a homeowner will pay for 3800 gallons of water and sewer usage for one month is:

Total cost = W(x) + S(x) = $4.91 + $21.12 = $26.03 (rounded to the nearest cent)

So, the closest answer choice is C. $27.13.

A regression line is defined as an estimate of the line that describes the actual line, which is unknown. It represents a linear relationship between the two variables, that is the dependent and the independent variable.

In other words, the equation of the regression line is used to estimate the value of the dependent variable from a specified value of the independent variable.

Correlation coefficient is used to determine the strength of linear association between two variables, that is the dependent and the independent variable. (Correlation shows what kind of relation two variables have.)

Regression line's important use is to make predictions about the values of y for a given x-value.

Hence option a is correct.

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The maximum distance as function of the quantity of gallons of gasoline the required expression is: x = 0.2272 . n

Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.

The maximum distance as function of the quantity of gallons of gasoline is estimated by the following linear model:

x = (14,430 km / 63500 gallons) . n

Finally, the required expression is:

x = 0.2272 . n

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