The values of x and y vary directly, and when x=48, y=36. Find the value of x when y=18.

Answer:

✓32

or

4✓2

or

5.66

Step-by-step explanation:

That's the answer. Hope it helps

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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A particular solution of the differential equation y" -8y' +17y = 8e^6t is y_p = (8/5)e^(6t) obtained using the method of undetermined coefficients.

To find a particular solution of the non-homogeneous differential equation:

\(y" - 8y' + 17y = 8e^(6t)\)

using the method of undetermined coefficients, we assume that the particular solution has the form:

\(y_p = Ae^(6t)\)

where A is a constant to be determined.

We then take the first and second derivatives of y_p:

\(y'_p = 6Ae^(6t)\)

\(y"_p = 36Ae^(6t)\)

Substituting these expressions into the differential equation, we have:

\(y" - 8y' + 17y = 8e^(6t)\)

\(36Ae^(6t) - 48Ae^(6t) + 17Ae^(6t) = 8e^(6t)\)

Simplifying the left-hand side, we get:

\(5Ae^(6t) = 8e^(6t)\)

Therefore, A = 8/5.

Hence, the particular solution is:

\(y_p = (8/5)e^(6t)\)

Therefore, a particular solution of the differential equation y" -8y' +17y = 8e^6t is y_p = (8/5)e^(6t) obtained using the method of undetermined coefficients.

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Answer:

Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).

Step-by-step explanation:

Answer:

25x^2 -20x +4

Step-by-step explanation:

(5x-2)^2

FOIL

(5x-2)(5x-2)

25x^2 -10x -10x +4

25x^2 -20x +4

Answer:

Step-by-step explanation:

It looks much harder than it really is

Let the first number = 25

Let the second number = x

25 * x = 133600            divide both sides by 25

25*x/25 = 133600/25

x = 5344

Make sure the answer really is 133600 because the comma (one) should go before the 6.

Answer:

A is 41°

B is 143°

Step-by-step explanation:

90 - 49 = 41

180 - 37 = 143

Answer:

D

Step-by-step explanation:

ratios are like fractions!

A. simplify  2:8 by dividing by 2 ---> 1: 4

1:16 and 1:4 is not equal

B. Simplify 2:32 by dividing by 2  -----> 1: 16

    Simplify 4:8 by 4 -------> 1:2

1:16 and 1:2 is not equal

C. Simplify 4:16 by dividing by 4 ----> 1:4

1:64 and 1:4 is not equal

D. Simplify 4:64 by dividing by 4 ---> 1:16

1:16 = 1:16

The element of a test of a hypothesis that is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis is the test statistic. The test statistic is a numerical value that is calculated from the sample data and is used to compare against a critical value or rejection region to determine if the null hypothesis should be rejected. The level of significance is also important in determining the critical value or rejection region, but it is not the actual element used to make the decision to reject or fail to reject the null hypothesis.

The hypothesis or basic assumption is a temporary answer to a problem that is still presumptive because it still has to be proven true. The alleged answer is a temporary truth, which will be verified by data collected through research. Statistics is a science that studies how to plan, collect, analyze, then interpret, and finally present data. In short, statistics is the science concerned with data. The term statistics is different from statistics. A numeric value contains only numbers, a sign (leading or trailing), and a single decimal point.

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The pdf (probability density function) of the duration of the trip = 0.0333

What is Probability?

The area of mathematics that deals with probability is called probability theory. Probability theory tackles the idea in a rigorous mathematical way by expressing it through a set of axioms, despite the fact that there are many distinct probability interpretations.

Given,

Distance = 180 miles

value is uniformly distributed between 30 and 60 miles per hour

a = 30

b = 60

x = 180

using uniform distribution,

pdf = f(x)

= 1/ b-a

pdf = f(180)

= 1/ 60-30

pdf = f(180)

= 0.0333

PDF = 0.0333

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Answer:

50 kid

110 adults

Step-by-step explanation:

6*50=300

11*110=1210

300+1210=1510

There are 39 independent sets in the graph.

Given the question, an independent set in a graph is a set of mutually non-adjacent vertices in the graph. In this problem, we will count the number of independent sets in the given graph.

Using an adjacency matrix, we can calculate the degrees of all vertices, which are defined as the number of edges that are connected to a vertex.

In this graph, we can see that vertex 1 has a degree of 3, vertices 2, 3, 4, and 5 have a degree of 2, and vertex 6 has a degree of 1. 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1

The number of independent sets in the graph is given by the sum of the number of independent sets of size k, for k = 0,1,2,...,n.

The number of independent sets of size k is calculated as follows:

suppose that there are x independent sets of size k that include vertex i.

For each of these sets, we can add any of the n-k vertices that are not adjacent to vertex i.

Therefore, there are x(n-k) independent sets of size k that include vertex i. If we sum this value over all vertices i, we obtain the total number of independent sets of size k, which is denoted by a_k.

Using this method, we can calculate the number of independent sets of size 0, 1, 2, 3, and 4 in the given graph.

The calculations are shown below: a0 = 1 (the empty set is an independent set) a1 = 6 (there are six vertices, each of which can be in an independent set by itself) a2 = 8 + 6 + 6 + 6 + 2 + 2 = 30 (there are eight pairs of non-adjacent vertices, and each pair can be included in an independent set;

there are also six sets of three mutually non-adjacent vertices, but two of these sets share a vertex, so there are only four unique sets of three vertices;

there are two sets of four mutually non-adjacent vertices) a3 = 2 (there are only two sets of four mutually non-adjacent vertices) a4 = 0 (there are no sets of five mutually non-adjacent vertices)

The total number of independent sets in the graph is the sum of the values of a_k for k = 0,1,2,...,n.

Therefore, the number of independent sets in the given graph is a0 + a1 + a2 + a3 + a4 = 1 + 6 + 30 + 2 + 0 = 39.

Bonus Question : How many independent sets are there in the graph?

There are 39 independent sets in the graph.

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Problem 2:Solution:

Let G be a graph with six vertices, labelled A, B, C, D, E, F as shown below. There are no other edges except the ones shown.

Complete the table below showing the size of the largest independent set in each of the subgraphs of G.Given graph with labelled vertices are shown below,

Given Graph with labelled vertices

Now, the subgraphs of G are shown below.

Subgraph C

Graph with vertices {A, B, C, D}

The size of the largest independent set in the subgraph C is 2.Independent set in subgraph C: {A, D}

Subgraph D

Graph with vertices {B, C, D, E}

The size of the largest independent set in the subgraph D is 2.Independent set in subgraph D: {C, E}Bonus SubgraphGraph with vertices {C, D, E, F}

The size of the largest independent set in the subgraph formed by {C, D, E, F} is 3.Independent set in subgraph {C, D, E, F}: {C, E, F}

Hence, the required table is given below;

Subgraph

Size of the largest independent setC2D2{C, D, E, F}3

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Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

a) F = (9/5)*C + 32

b)

c) The graph can be seen below, it is a linear function.

We have the formula:

C = (5/9)*(F - 32)

To solve it for F, we need to isolate the F in the formula:

F = (9/5)*C + 32

b) Now we want to convert some temperatures.

If C = 0° celcius, then:

F =  (9/5)*0 + 32 = 32

This means that: 0°C = 32°F

if C = 20° Celcius, then:

F =  (9/5)*20 + 32 = 68

then 20°C = 68°F

if C = 32°C then:

F = (9/5)*32 + 32 = 89.6°

So 32°C = 89.6°F

Finally, if C = 41°C then:

F = (9/5)*41 + 32 = 105.8

Then 41°C = 105.8°F

c)  Here the function is:

F = (9/5)*C + 32

This clearly is a linear function, and the graph can be seen in the image below.

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The statement that correctly compares the two functions include the following: D. They have different y-intercepts but the same end behavior.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph and the functions shown in the image attached above, we can reasonably infer and logically deduce the following y-intercepts:

y-intercept of f(x) = (0, 4).

y-intercept of g(x) = (0, 8).

Additionally, the end behavior of both functions f(x) and g(x) is that as x tends towards infinity, f(x) and g(x) tends towards zero:

x → ∞, f(x) → 0.

x → ∞, g(x) → 0.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The first function is continuous everywhere in the complex plane. The second function is continuous everywhere except at z=0. The third function is continuous everywhere except at z=-2 and z=1.

The function z⁴ - 9z² + iz -2 is continuous everywhere in the complex plane.

The function z + 1/z² + 1 is continuous everywhere in the complex plane except at z = 0.

The function z² + 6x + 5/z² + 3z + 2 is continuous everywhere in the complex plane except at z = -2 and z = -1/3.

The function z⁴ + 1/Z² + 2z + 2 is continuous everywhere in the complex plane except at z = 0.

The function x + iy/x - 1 is continuous on the complex plane excluding the negative x-axis.

The function x + iy/|z| - 1 is continuous everywhere in the complex plane except at z = 0.

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Complete question is in the image attached below

Answer:

Negative association

Step-by-step explanation:

the dots are going down so it is negative.

The given information is not sufficient to determine the individual costs of the desktop and laptop computers before finance charges.

To determine the individual costs of the computers, we need additional information such as the specific interest rates for each financing plan or the total cost including finance charges.  Without this information, it is not possible to calculate the individual costs of the computers.

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Step-by-step explanation:

Another name of zy is line s

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

20d

Step-by-step explanation:

its my guess, several weeks not seven so you dont know how many weeks so we use the variable d. $20 a week. multiply the $20 by the amount of weeks you get 20d

(a) There are 81 possible answer sequences for the four questions.

(b) The probability of getting all four answers correct when guessing is approximately 0.01235 when rounded to five decimal places.

(c) The probability of answering at least one question correctly when guessing is approximately 0.51775 when rounded to five decimal places.

(a) Since there are three possible answers for each of the four questions, there are a total of 3^4 = 81 possible answer sequences for the four questions.

(b) If you are guessing on each question, the probability of getting one question correct is 1/3. Since there are four questions, the probability of getting all four correct is (1/3)^4 = 1/81, which is approximately 0.01235 when rounded to five decimal places.

(c) The probability of not getting any question correct is (2/3)^4, since there are two incorrect answers for each question and we are guessing on all four questions. Therefore, the probability of getting at least one question correct is 1 - (2/3)^4, which is approximately 0.51775 when rounded to five decimal places.

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The value of expression of f(x) = 3x - 2 is -20 when x = -6.

The expression is defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators who let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Given that the expression as :

f(x) = 3x - 2,

To determine the value of f(-6) in the expression

⇒f(x) = 3x - 2

Substitute the value of x = -6 in the expression

⇒ f(-6) = 3(-6) - 2

⇒ f(-6) = -18 - 2

⇒ f(-6) = -20

Hence, the value of f(-6) of the expression is -20.

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Etta needs to add the source of the information to better arrange these notes.

A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.

As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.

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Answer:

find out little kid

Step-by-step explanation:

LoL

Options (1), (2), (3), (4), and (5) are all correct regarding the relationship between integers and their opposites.

Integers are the set of whole numbers, including negative numbers. The opposite of an integer is obtained by changing its sign. Integers and their opposites are related in various ways.

Some of the true statements related to the relationship between integers and their opposites are listed below.1. For any integer, there is a unique opposite integer that differs from it only by a negative sign.2. The sum of an integer and its opposite is always zero.3. Subtracting a positive integer is equivalent to adding its negative, which is the same as the opposite integer.4. The product of any integer and its opposite is always negative.5. Dividing any nonzero integer by its opposite results in a negative quotient.

Thus, options (1), (2), (3), (4), and (5) are all correct regarding the relationship between integers and their opposites.

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The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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