Which of the following is the equation for the graph shown?

Answer:

X = 13

Step-by-step explanation:

2x - 12 = 14

   + 12 = + 12

2x   =  26

/2          /2

x   =  13

Answer:

x = 0

Step-by-step explanation:

First we need to move either 5r or 2r to the other side, in order to isolate the variable.

We'll move 5r, in this case, by subtracting it from 2r. Now we got: -11 - 3x = -6 - 5.

Next we subtract 5 from -6 to get

-11 - 3x = -11.

Now we can add 11 on both sides to get -3x = 0.

Finally divide by -3 to get x = 0.

Hope this helps :)

Answer:

Step-by-step explanation:

-11 + 2r = 5r - 6 - 5                  combine like terms

-11  +2r = 5r -11 .                       pass the 2r to the other side and it will become                                                                                                                      

         ⤻                                   negative  

-11 = 5r -2r -11                          combine like terms

-11= 3r - 11                               pass the -11 to the other side and now it will        

           ⤾                                 become positive

-11 +11 = 3r                               combine like terms

0 = 3r                                       divide both sides by three

0 = r                                         And then you will get your answer  :)

Answer:

I think it's C, but i am not sure about my answer

Answer:

A; w = 52h

A; w = 52h

B; w = 26h

C; 1/26w=h

D; 1/52w=h

Answer:

w=52h and 1/52w=h

Step-by-step explanation:

To solve an initial value problem (IVP) numerically using a simple method, we can use Euler's method. The formula for Euler's method is given as:

y_i+1 = y_i + h*f(x_i, y_i)

where y_i is the approximation of the solution at x=x_i, h is the step size, and f(x,y) is the function defining the differential equation.

For the first IVP, y′ = y, y(0) = 1, h = 0.01:

We can rewrite the differential equation as y' - y = 0, which gives us f(x,y) = y. Using Euler's method with a step size of h=0.01, we get:

y_1 = y_0 + hf(x_0, y_0) = 1 + 0.011 = 1.01

y_2 = y_1 + hf(x_1, y_1) = 1.01 + 0.011.01 = 1.0201

y_3 = y_2 + hf(x_2, y_2) = 1.0201 + 0.011.0201 = 1.030301

.

.

.

y_10 = y_9 + h*f(x_9, y_9)

Plotting these computed values against their respective x-values (which are simply 0, 0.01, 0.02, ..., 0.09), along with the true solution curve y=e^x, we get the following graph:

Graph for IVP 1

As we can see from the graph, the numerical solution follows the true solution curve quite closely, with the error increasing slightly over time.

For the second IVP, y′ = −5x^4y^2, y(0) = 1, h = 0.2:

We can use Euler's method with a step size of h=0.2 to get:

y_1 = y_0 + hf(x_0, y_0) = 1 + 0.2(-50^41^2) = 1

y_2 = y_1 + hf(x_1, y_1) = 1 + 0.2(-5*(0.2)^41^2) = 0.9996

y_3 = y_2 + hf(x_2, y_2) = 0.9996 + 0.2*(-5*(0.4)^4*(0.9996)^2) ≈ 0.998407

Continuing this process for 10 steps, we get the following computed values:

Computed Values for IVP 2

Plotting these computed values against their respective x-values (which are simply 0, 0.2, 0.4, ..., 2), along with the true solution curve y=1/(1+x)^5, we get the following graph:

Graph for IVP 2

As we can see from the graph, the numerical solution follows the true solution curve quite closely, with the error increasing slightly over time.

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Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.

Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.

In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.

The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.

The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.

Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.

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Answer:

y=85

Step-by-step explanation:

The number of ways to form such strings is 48.

To find the number of ways to form the specified strings, we can break down the problem into cases:

Case 1: x and y are consecutive with x before y

In this case, we can consider x and y as a single entity, denoted as XY. The remaining three letters can be chosen from the set {u,v,w,z}, giving us 4 options. The XY entity can be arranged in 2 ways (XY or YX). Therefore, the total number of strings in this case is 4 * 2 = 8.

Case 2: x and y are consecutive with y before x

Similar to Case 1, we consider yx as a single entity. The remaining three letters can be chosen from {u,v,w,z}, resulting in 4 options. The yx entity can be arranged in 2 ways (yx or xy). Hence, the total number of strings, in this case, is also 4 * 2 = 8.

Case 3: All other cases

In this case, x and y are not consecutive. We need to select one position for x, one position for y, and two positions for the remaining letters. The positions can be chosen in 6 * 5 * 4 * 3 = 360 ways. However, we need to divide by 2! to account for the arrangement of x and y. Thus, the total number of strings, in this case, is 360 / 2 = 180.

Adding up the results from the three cases, we get a total of 8 + 8 + 180 = 196.

Therefore, the number of ways to form strings of length 5 from the set {u,v,w,x,y,z} that satisfy the given conditions is 196.

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The cross-tabulation analysis is the analytical technique that assesses the statistical significance of categorical variable relationships.

If you are doing research analysis and want to compare the results of one or more variables with the results of another variable, there is only one solution i.e. cross-tabulation or crosstab.

For reference, a crosstab is a two (or more) dimensional table that records the number (frequency) of respondents with certain characteristics described in the table cells. Crosstabs provide a wealth of information about relationships between variables.

Cross-tabulation analysis has its own terminology, using terms such as 'banner', 'stub', 'chi-square statistic', and 'expected value'.

Cross-tabulation analysis (also cross-tabulation or crosstabs) is one of the most useful analytical tools and a workhorse in the market research industry.

Cross-tabulation analysis, also called contingency analysis, is most commonly used to analyze categorical (nominal measurement scale) data.

A cross-tabulation analysis is basically just a table of data that shows the results for an entire group of respondents and the results for a subgroup of respondents. This allows you to explore relationships in your data that aren't immediately apparent by just looking at the overall survey responses.

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Answer:

a) fog(x) = (x-2)⁴ +4

b) (g o f) (x) = x⁴ + 2

c) hog(x) = \(\sqrt{x-2}\)

Step-by-step explanation:

Step(i):-

Given that the function

f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x

f o g (x) = f(g(x))

           = f(x-2)

         = (x-2)⁴ +4  (∵ f(x) = x⁴ +4))

fog(x) = (x-2)⁴ +4

Step(ii):-

(g o f) (x)  = g(f(x))

              = g(x⁴ +4)

             =  x⁴ +4 -2   ( ∵ g(x) = x-2)

            = x⁴ + 2

(g o f) (x) = x⁴ + 2

Step(iii):-

hog(x) = h(g(x))

         = h(x-2)

         =  \(\sqrt{x-2}\)    

 hog(x) = \(\sqrt{x-2}\)

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

\(\frac{54}{y} :\frac{60}{100}\)

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

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Answer:

$88

If this is incorrect, let me know and I will redo the problem. My answer might also be incorrect if the 0.08 you mention in the question is a percentage and not eight cents.

Step-by-step explanation:

To solve this, I like to write down the numbers first.

1,100 dollars for the painting

I assume that the 0.08 is money, and not a percentage. If this is a percentage, please let me know and I will write out a new answer.

0.08+1=1.08

This is the amount paid for each dollar.

1.08×1,100=1,188

Now subtract.

1,188-1,100=88

The sales tax is $88.

Answer:

D. The work shown above is correct.

The most appropriate level of measurement for the Ages of survey respondents would be the interval ratio.

This is because age is a quantitative variable that can be measured on a continuous scale with equal intervals between each value. The nominal level of measurement is used for categorical variables with no inherent order, the ordinal level of measurement is used for variables with a specific order, but the differences between values are not meaningful, and the ratio level of measurement is used for variables with a true zero point and meaningful ratios between values.

Since age can be measured on a continuous scale with a meaningful zero point (birth), the interval ratio is the most appropriate level of measurement. Hence, the answer is B) Interval

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Answer:

$441

Step-by-step explanation:

Since each ticket costs 10.50 and you buy 42 :

10.5 * 42 = 441

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

1. expand brackets first

2(x + 5) = 3x + 1

2x +10=3x +1

2. subrtract2 x from both sides

2x +10=3x +1

10= x +1

3. subtract 1 from both sides

10= x + 1

9+x

Answer:

x=9

Step-by-step explanation:

2(x+5) = 3x =1

2x + 10 = 3x + 1

10 = x + 1

9 = x

Step 1: Start out by using distributing property. You distribute the 2 to the x and the five, making 2x + 10.

Step 2: You put the variables on one side, keeping them positive. So you do the opposite of +2x, which is -2x. So you subtract 2x from 3x leaving you with 1x or x.

Step 3: You take the numbers and put them on one side, meaning you have to move the +1. TO do that, you do the opposite and take it away from the 10 leaving you with 9 = x

Answer:

The number 52 is a rational number if 52 can be expressed as a ratio, as in rational. A quotient is the result you get when you divide one number by another number. For 52 to be a rational number, the quotient of two integers must equal 52. ... Thus, the answer to the question "Is 52 a rational number?" is YES.

Step-by-step explanation:

Answer:

see the explanation below

Step-by-step explanation:

Given data

We are given that her salary is determined by the function

s= 7.25h

the relationship between h and s is a proportional relationship because

when h increases the value of s also increases and vice versa

check

for h= 2

s= 7.25(2)

s= 14.5

for h= 1.5

s= 7.25(1.5)

s= 10.875

The key to making the output from the input is to understand the input, apply a set of transformations, and validate the output to ensure that it meets the desired requirements.

To make the output from the input, you need to follow a set of rules. These rules will depend on the type of input and the desired output. In general, there are three main steps that you should follow when trying to make the output from the input:
1. Understand the Input: The first step is to carefully examine the input and understand its format, structure, and properties. This will help you identify any patterns or relationships that exist within the input data.
2. Apply a Transformation: Once you have a good understanding of the input data, the next step is to apply a transformation or a set of transformations that will convert the input into the desired output. These transformations may involve mathematical operations, logical rules, or other manipulations of the data.
3. Validate the Output: After applying the transformation, it's important to validate the output to ensure that it meets the desired requirements. This may involve checking the output against a set of expected results, testing the output in different scenarios, or using other validation methods.

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Ladder diagrams are graphical representation techniques used to show how a particular control system operates, such as a mechanical process or a computer algorithm.

They are composed of two vertical lines that represent the power rails of the control circuit.

In this problem, the goal is to create a ladder diagram that will cause the output, alarm lamp ALRM 534, to be 0 N

when

(1) either the infeed conveyor CONV1541 is OFF or the outfeed conngo CONV1542 is OFF and

(2) the limit switch LS1535 is open and

(3) the proximity suid PS1536 is closed.

We'll do this issue for a SLC-500 plc.

Ladder diagram for SLC-500:

Firstly, since the alarm lamp is to be activated when the conditions are false, we will use a Normally Closed (NC) contact for each condition.

Next, draw the circuit for infeed conveyor CONV1541 OFF and the limit switch LS1535 is open.

Then, we'll add the other conditions, such as the outfeed conveyor CONV1542 OFF and the proximity switch PS1536 closed.

Finally, connect the alarm lamp ALRM1534 to the circuit to make it work when all of the specified conditions are met.

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Answer:

D.

Step-by-step explanation:

hope it's helppp

hopefully you

The function y = 3x + 7 is a linear function and the second function that is represented in table is an exponential function.

Here the function y = 3x + 7 is a linear function  and the second function is an exponential function because powers of 2.

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Answer:

Step-by-step explanation:

F(2) is equal to 17 for the given Function f(x) = 2(3)^x-1.

The f(2) for  function f(x) = 2(3)^x-1, we substitute x = 2 into the function and evaluate the expression.

Let's calculate f(2) step by step:

f(2) = 2(3)^2-1

First, we evaluate the exponent

3^2 = 9

Next, we substitute this value back into the expression:

f(2) = 2(9) - 1

Now, we perform the multiplication:

2 * 9 = 18

Finally, we subtract 1:

f(2) = 18 - 1

Simplifying further:

f(2) = 17

Therefore, f(2) is equal to 17 for the given function f(x) = 2(3)^x-1.

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Answer: \(f(2)=17\)

Step-by-step explanation:

        To solve, we will substitute 2 for x into the given function by raising to the power of 2, multiplying, and subtracting.

\(f(x)=2(3)^x-1\)

\(f(2)=2(3)^2-1\)

\(f(2)=18-1\)

\(f(2)=17\)