If a circle has a circumference of 40.82cm what would the diameter be

Answer:

In order

8

-1

-7

-10

-13

Screenshot included

Step-by-step explanation:

Answer:

Step-by-step explanation:

The width of the rectangle = x

Therefore the length of the rectangle = 2x, as it is twice its width

We know that the perimeter of a rectangle = 2 × （length + width）

So since the perimeter equals to 30, then we can form the equation:

                                      2×(2x+x) = 30

                                          2×(3x) = 30

                                                6x = 30

                                                   x = 5

width of the rectangle = x = 5

length of the rectangle = 2x = 2×5 = 10

If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.

Hope this helps :)

Step-by-step explanation:

given,

perimeter (p)=30

let the length be x and breadth be x÷2 (as the length is twice of its breadth)

now, perimeter (p)=30

or, 2(l+b)=30

or, 2(x+x/2)=30

or, 6x/2=30

or, 3x=30

therefore the value of x is 10.

the dimensions are,

so, length (l)=10 breadth (b) =10/2=5...ans

hope it will help uh.

y_p for differential equation y''-2y' y = e^x is  Axe^x

In solving the differential equation y'' - 2y'y = e^x, we can use the method of undetermined coefficients to find a particular solution. The first step in this method is to make an initial guess for the form of y_p, which should be of the same form as the non-homogeneous term e^x.

Since e^x is an exponential function of x, our guess for y_p should also be an exponential function of x.

However, since the function y = e^x is already a solution to the homogeneous equation y'' - 2y'y = 0, our guess for y_p should include a factor of x to ensure that it is linearly independent from the homogeneous solutions.

Therefore, a suitable guess for y_p in this case is:

y_p = Axe^x

where A is a constant to be determined. We include the factor of x in our guess since it is not part of the homogeneous solutions and therefore provides a new degree of freedom in finding a particular solution.

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Answer:

c= -9

Step-by-step explanation:

19-4c=17

+19     +19

-4c= 36

divide by -4

c= -9

Answer:

Exact Form:

c=1/2

Decimal Form:

c=0.5

Step-by-step explanation:

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

Ed: Explanation below.

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.

9. $72.45

10. $15.52

11. $30.69

12. $48.95

13. $6.39

14. $67.6

15. $18.02

16. $51.6

17. $11.25

18. $175.00

19. $3.20

20. $10.00

21. $31.25

22. $45.90

Step-by-step explanation:

Answer:

y=x+9/17

Step-by-step explanation:

easy question that's all :) have a great day

The value of Sin(2x) ,cos(2x) and tan(2x) are sin(2x) = \(29 \sqrt{\frac{643}{4} }\), cos(2x) = -\(\frac{-99}{2}\), and tan(2x) =-\(\frac{-29}{12}\).. We can use the identity sin(2x) = 2sin(x)cos(x) to find sin(2x).  

First, we need to find cos(x) using the Pythagorean identity.
cos(x) = √(1 - sin²(x))
cos(x) = √(1 - (29/2)²)
cos(x) = √(1 - 841/4)
cos(x) = √(643/4)

Now we can find sin(2x):

sin(2x) = 2sin(x)cos(x)
sin(2x) = 2(\(\frac{29}{2}\))(\(\frac{643}{4}\))
sin(2x) = 29\(\frac{643}{4}\)

To find cos(2x), we can use the identity cos(2x) = cos²(x) - sin²(x):

cos(2x) = cos²(x) - sin²(x)
cos(2x) = \(\frac{643}{4}\) - (\(\frac{841}{4}\))
cos(2x) = -\(\frac{198}{4}\)
cos(2x) = -\(\frac{-99}{2}\)

Finally, to find tan(2x), we can use the identity tan(2x) =\(\frac{2tan(x)}{1-tan^{2}(x) }\) :

tan(x) = sin(x)/cos(x) \(\frac{sin(x)}{cos(x)}\)
tan(x) = \(\frac{29}{2} : \frac{\sqrt{643} } }{2}\)
tan(x) = \(\frac{29}{\sqrt{643} }\)

tan²(x) = \((\frac{29}{√643})}{2}\)
tan²(x) = \(\frac{841}{643}\)

tan(2x) =  \(\frac{2tan(x)}{1-tan^{2}(x) }\)
tan(2x) = (2(29/√643))/(1 - 841/643)  \(\frac{\frac{2(29)}{643} }{1-\frac{841}{643} }\)
tan(2x) =  -\(\frac{-29}{12}\)
Therefore, sin(2x) = \(29 \sqrt{\frac{643}{4} }\), cos(2x) = -\(\frac{-99}{2}\), and tan(2x) =-\(\frac{-29}{12}\).

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Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Answers:

Step-by-step explanations:

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.

Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a  line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Step-by-step explanation:

The linear equation in slope intercept form of the lines that passes through (1,3) and (-3,-5) is y = 2x + 1

The slope intercept form is represented as follows:

where

m = slope

b = y-intercept

let's find slope:

(1, 3)(-3, -5)

m = -5 - 3 / -3 - 1 = - 8 / -4 = 2

Therefore,

let's find b using (1, 3)

y = 2x + b

3 = 2 + b

b = 1

Finally, the linear equation in slope intercept form will be as follows:

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The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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the answer to the equation is x = 4

Rearrange terms

−9(8−2h)

−9(−2h+8)

Distribute

−9(−2ℎ+8)

18ℎ − 72

solution

18ℎ − 72

\(-9(8-2h)\)

\(-9(2h-8)\)

\(18h-72\)

(Therefore, The final answer is 18h-72)

The correct option for calculating the degrees of freedom for the between-group estimate in ANOVA is: c. k - 1

Here's a step-by-step explanation:

1. ANOVA, or Analysis of Variance, is a statistical method used to compare the means of multiple groups to determine if there are significant differences between them. In this context, "k" represents the number of groups being compared, and "N" represents the total number of observations.

2. Degrees of freedom (df) are used in statistical tests to account for variability in the data. They are essentially the number of values that can vary independently in the calculation of a statistic.

3. In ANOVA, there are two types of degrees of freedom: between-group (df_between) and within-group (df_within).

4. To calculate the between-group degrees of freedom (df_between), we use the formula: df_between = k - 1. This is because there are k groups being compared, and each group contributes one degree of freedom, minus one since we are comparing the groups against each other.

5. The within-group degrees of freedom (df_within) would be calculated using the formula: df_within = N - k, which accounts for the total number of observations minus the number of groups.

In summary, to compute the degrees of freedom for the between-group estimate in ANOVA, you would use the formula df_between = k - 1.

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Answer:

y = 100x

Step-by-step explanation:

Answer:

y=100x

Step-by-step explanation:

Answer:

y = 3 x−2

Step-by-step explanation:

The store's profit on the video game is $35.

According to the question,

We have the following information:

Elsie bought a video game for $85.00. And the store charges 170% of its cost for the game.

Now, let's take the original price of the video game to be $x.

So, we have the following expression:

170% of x = 85

170x/100 = 85

Using the cross multiplication method:

170x = 85*100

x = 8500/170

x = 50

So, we have the cost of the video game.

Now, we know that the formula to find the profit is as follows:

Profit = Selling price - cost of the product

Profit = $(85-50)

Profit = $35

Hence, the store's profit on the video game is $35.

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Answer:

(8,9)

Step-by-step explanation:

5 - (-3) = 8

5 - (-4) = 9

8 = x, 9 = y

(8,9)

Answer:

{-5,-3,0}

Step-by-step explanation:

Since you need it ASAP, the domain is listed above. No explanation.

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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The relative maximum of the function f(x)=-x³+6x²-10x+4 is 2.82 or 1.18.

The relative maximum of the function f(x)=-x³+6x²-10x+4 is calculated as follows;

f(x)=-x³+6x²-10x+4

Take the first derivative of the function;

df(x)/dx = -3x² + 12x - 10

-3x² + 12x - 10 = 0

Solve the x in the quadratic equation above;

3x² - 12x + 10 = 0

Solve the equation using formula method;

x = 2.82 or 1.18

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Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

Answer:8.124. 9.42 10. TW=4.015 equation sin(35)=4.015/7. 11.WS=10.459 equation: Tan(69)=10.459/4.015

Step-by-step explanation:

use sine rule and tan rule like upwards and hope you get it right mate

Answer:

Divide by 7 on both sides

Step-by-step explanation:

7x is a coefficient so you divide by 7