Solve the system of equations by ELIMINATION.
Show the work that would correspond with the elimination method.
PLS HELP I ONLY HAVE 20 MINUTES

Answer:

C= 1.37(s)+3.36(r)+2.46(p)

Step-by-step explanation:

The value of a = 1 and the value of b = 3.5

Find the function attached.

For a function to be continuous over the domain, hence h+(x) = h-(x)

At the endpoint x = 0, hence;

For the right-hand limit,

At the left-hand limit;

At the point where x = 0, f(x) = a

Since the function is continuous, x^3 = √x

Square both sides of the equation

x^3 = √x

x^6 = x

x^5 = 1

x = 1

Also √x = a

√1 = a

a = 1

At the endpoint x = 4,

b = 4 - 1/2 x

b = 4 - 1/2(1)

b = 4 - 0.5

b = 3.5

Hence the value of a = 1 and the value of b = 3.5

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Answer:

A= 0

B= 2

Step-by-step explanation:

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

Θ ≈ 28.07°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = \(\frac{opposite}{hypotenuse}\) = \(\frac{8}{17}\) , then

Θ = \(sin^{-1}\) ( \(\frac{8}{17}\) ) ≈ 28.07° ( to the nearest hundredth )

Answer:

1382400

Step-by-step explanation:

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

Answer:

Her mom spent $11

Step-by-step explanation:

$20-9= $11

Overloading in object-oriented programming enables class methods with different parameter lists and return types to perform distinct tasks based on input parameters, improving readability and reducing code complexity.

In the object-oriented model, if class methods have the same name but different parameter lists and/or return types, they are said to be Overloaded.

In object-oriented programming (OOP), overloading refers to the ability of a function or method to be used for a variety of purposes that share the same name but have different input parameters (a parameter is a variable that is used in a method to refer to the data that is passed to it).In object-oriented programming, method overloading allows developers to use the same method name to perform distinct tasks based on the input parameters. The output of the method is determined by the input parameters passed. This enhances the readability of the program and makes it easier to use because it minimizes the number of method names used for distinct tasks.The overloaded method allows the same class method to be used to execute a variety of operations.

It's a great feature for developers because it lets them write fewer lines of code. Overloaded methods are commonly employed when the same task can be completed in multiple ways based on the input parameters.

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An invertible matrix may have fewer than n linearly independent eigen vectors, making it not diagonalizable. The correct answer is A. The statement is false.

To prove let's consider the definitions and properties of invertible matrices and diagonalizable matrices.

An invertible matrix A is a square matrix that has an inverse, denoted as \(A^(-1)\). A matrix is invertible if and only if its determinant is nonzero. In other words, A is invertible if det(A) ≠ 0.

A diagonalizable matrix is a square matrix A that can be expressed as A = PD\(P^(-1)\), where P is an invertible matrix and D is a diagonal matrix. In this diagonal representation, the diagonal entries of D correspond to the eigenvalues of A.

Now, to determine whether the statement is true or false, we need to consider the relationship between invertible matrices and diagonalizable matrices.

It is true that a diagonalizable matrix is invertible. This is because if A =\(PDP^{-1}\), then\(A^(-1) = (PDP^(-1))^(-1) = PD^(-1)P^(-1),\)and since \(D^{-1}\) is also a diagonal matrix, \(A^{-1}\) is invertible.

However, the converse is not necessarily true. An invertible matrix may not be diagonalizable. This happens when an eigenvalue of the matrix has a geometric multiplicity (the number of linearly independent eigenvectors associated with it) that is less than its algebraic multiplicity (the multiplicity of the eigenvalue as a root of the characteristic polynomial).

For example, consider the matrix A = [1 1; 0 1]. The eigen value of A is 1, and it has only one linearly independent eigenvector, namely [1; 0]. Since the geometric multiplicity is 1 and the algebraic multiplicity is 2, A is not diagonalizable despite being invertible.

In general, for an invertible matrix A, it may or may not have a full set of n linearly independent eigenvectors, making it not necessarily diagonalizable. Therefore, option A is the correct answer: The statement is false.

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Answer:

a=2c-4b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain variables.

3 Answers

The correct box plot is shown below.

=====================================================

Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

-----------------------------

Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

--------------------------------

To summarize his 3 mistakes, they are:

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

Answer:

y=4/3x-3

Step-by-step explanation:

(y2-y1)/ (x2-x1)

The quadratic function is x² - 13x + 30.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

A quadratic function is one of the form:

f(x) = ax²+ bx + c,

where a, b, and c are numbers with a not equal to zero.

Let m and n be the zeros of the quadratic function.

So, the quadratic function is

f(x) = c(x-m)(x-n),

where c is the constant common term and m, n are zeros.

Simplifying,

f(x) = x² -mx - nx + mn.

Here, given zeros of the quadratic equation are 10 and 3.

That means,

if function is subjected to x.

Then (x-10) and (x-3) are factors of the quadratic function.

To write a quadratic function:

we multiply the factors,

(x-10)(x-3)

= x² -10x - 3x + 30

= x² - 13x + 30

Therefore, the quadratic function is x² - 13x + 30.

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By vertical line test the relation represented by given curved graphs is a function.

A relation is said to be a well defined function if one element of domain set is related to exactly one element of codomain.

Here it is clear that if we draw a vertical line at any point that line cuts through only one point of the curve.

So vertical line test shows that one point of X axis i.e. one element of domain is related to one point on Curve i.e. one element of Codomain.

Hence by vertical line test we can say that the relation given is a function.

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Answer:

\(x=\frac{y-3}{4}\)

Step-by-step explanation:

\(y=4x+3\)

\(y-3=4x\)

\(\frac{y-3}{4}=x\)

\(x=\frac{y-3}{4}\)

Answer:

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

\(y = 4x + 3 \\ y - 3 = 4x \\ \frac {y - 3}{4} = x \)

⎆ The formula will be \(\hookrightarrow\boxed{\underline\frac {y - 3}{4}=x}\)

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Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = \(\frac{ka}{b}\) ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = \(\frac{18k}{40}\) ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

\(\frac{600}{18}\) = k

\(\frac{100}{3}\) = k

c = \(\frac{100a}{3b}\) ← equation of variation

When a = 36 and b = 25 , then

c = \(\frac{100(36)}{3(25)}\) = \(\frac{3600}{75}\) = 48

Circle, Triangle, Square are basic shapes that are commonly used in mathematics, art, and design. They are considered the building blocks of more complex shapes and designs.

In mathematics, Circle, Triangle, and Square are often used as examples to teach basic geometric concepts such as perimeter, area, and volume. Students learn how to calculate the properties of these shapes, including the length of their sides and their angles.

In art and design, Circle, Triangle, and Square are used to create compositions and patterns. These shapes can be combined to create more complex designs, and they are often used to create logos and symbols. The shapes also have symbolic meanings and can be used to represent different ideas and concepts.

The value of Circle, Triangle, and Square lies in their versatility and simplicity. They can be used to teach basic geometric concepts and to create complex designs, making them an essential tool for anyone interested in mathematics, art, and design.

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Answer:

19.65

Step-by-step explanation:

Answer:

19.65

Step-by-step explanation:

..........

Answer:

Rotation

Step-by-step explanation:

Answer:

138.248cm²

Step-by-step explanation:

Surface area=2πrh + 2πr²

Surface area=2x3.142x2x9+ 2x3.142x2²

Surface area=113.112+25.136

Surface area=138.248cm²

Answer:

Answer:

138.248cm²

Step-by-step explanation:

Surface area=2πrh + 2πr²

Surface area=2x3.142x2x9+ 2x3.142x2²

Surface area=113.112+25.136

Surface area=138.248cm²

"credit goes to unknown76th"

Step-by-step explanation:

The slope of the perpendicular line is 1/5

The equation of the line is given as

5x + y = -4

The equation of a line can be represented as

y = mx + c

Where

Slope = m

So, the first step is to make the variable y the subject in 5x + y = -4

This gives

y = -5x - 4

By comparing the equations, we have the following

m = -5

This means that the slope of 5x + y = -4 is -5

So, we have

Slope 1 = -5

The slopes of perpendicular lines are opposite reciprocals

i.e.

Slope 2 = -1/Slope 1

This gives

Slope 2 = -1/-5

Evaluate

Slope 2 = 1/5

Hence, the perpendicular line has a slope of 1/5

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Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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The height of the office building casting a shadow of 107ft is approximately 124.83 ft.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the question;

Ratio of height of office building and its height = x / 107

Ratio of height of post and its height = 7 / 6

Equate the two to get the height of the office building.

x / 107 = 7 / 6

Solve for x

x × 6 = 7 × 107

6x = 749

x = 746 / 6

x = 124.83 ft

Therefore, the height of the building is 124.83 ft.

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Answer:

Sorry but all I know is number 7 is x=3 I dont know how to explain

Answer:

No, they are not equivalent.

Answer:

\(M(x,y) = (1,3)\) belongs to the line \(y = 2\cdot x +1\). Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

\(y=k\cdot x + b\)

Where:

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(k\) - Slope, dimensionless.

\(b\) - y-Intercept, dimensionless.

If we know that \(b = 1\), \(x = 1\) and \(y = 3\), then we clear slope and solve the resulting expression:

\(k = \frac{y-b}{x}\)

\(k = \frac{3-1}{1}\)

\(k = 2\)

Then, we conclude that point \(M(x,y) = (1,3)\) belongs to the line \(y = 2\cdot x +1\), whose graph is presented below.

Answer:

Graph the points, (2, -7), (1, -3)

Step-by-step explanation:

I did it in rsm xD

Answer:

The slope of the line is:  

              \(-\frac{3}{4}\)

Slope of a parallel line is the same:

             \(-\frac{3}{4}\)

Slope of a perpendicular line, invert the sign and fraction:

              \(\frac{4}{3}\)

Hope this helps

Answer: Well, this is all I can think about...

Step-by-step explanation: Mark 9:23-24

New International Version

23 “‘If you can’?” said Jesus. “Everything is possible for one who believes.”

24 Immediately the boy’s father exclaimed, “I do believe; help me overcome my unbelief!”