The approximation of I = S. cos (x2 + 5) dx using simple Simpson's rule is:

Answers

Answer 1

The approximation of I = ∫ cos (x² + 5) dx using simple Simpson's rule is 0. 54869.

How to find the approximation with Simpson's rule ?

Given ∫ cos (x² + 5) dx, we have :

f ( x ) = Cos ( x² + 5 )

f ( 0 ) = Cos (0² + 5 )

= Cos ( 5 )

= 0. 2837

f ( 0. 25 ) = Cos ( 0.25 ² + 5 )

= 0. 343

f ( 0. 5 ) = Cos ( 0. 5 ² + 5 )

= 0. 5121

f ( 0. 75 ) = Cos ( 0. 75 ² + 5 )

= 0. 7514

f (1 ) = Cos ( 1 ² + 5 )

= Cos ( 6 )

= 0. 9602

Using Simpson's rule for 1 /3, we get :

∫ y dx = h / 3 ( ( y ₀ + y ₄) + 4 ( y ₁ + y ₃ ) + 2 y₂ )

= 0. 25/ 8 ( ( 0. 2837 + 0.9602 ) + 4 ( 0.343 + 0.7514) + 2 x 0. 5121 )

= 0. 54869

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Related Questions

Express as a trinomial.
(x – 3)(3x – 8)
Please do this ASAP i need HELP

Answers

Answer:

3x^2 - 17x + 24

Step-by-step explanation:

(x – 3)(3x – 8)

3x^2 + (-8x) + (-9x) + 24

3x^2 - 17x + 24

Helpppppp! No links please, thank you!

Answers

32, 60, 68

Hope this helps

A ferris wheel has 15 seats
what angle is each

Answers

Each seat on the ferris wheel is at an angle of 24 degrees.

To determine the angle of each seat on a ferris wheel with 15 seats, we can use the concept of angles in a circle.

A circle has a total of 360 degrees. Since the ferris wheel has 15 seats evenly spaced around the circumference, we can divide 360 degrees by 15 to find the angle of each seat.

The calculation is as follows:

360 degrees ÷ 15 seats = 24 degrees per seat.

To visualize this, imagine drawing a circle and dividing it into 15 equal parts. Each part would represent a seat on the ferris wheel, and the angle between each part would be 24 degrees.

Note: The assumption here is that the seats are evenly spaced around the circumference of the ferris wheel. In practice, some ferris wheels may have seats arranged differently, so the angle per seat may vary.

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a) Rearrange the following formula to make x the subject.
Give your answer in its simplest form.
4(2x - 3y) = y + 5
+

Answers

Answer:

x = 13y + 0.625

Step-by-step explanation:

4(2x - 3y) = y + 5

8x - 12y = y + 5

8x = y + 5 + 12y

8x = 5 + 13y

8x ÷ 8 = 5 + 13y ÷ 8

x = 5 + 13y ÷ 8

x= 13y + 5 ÷8

x = 13y + 0.625

Jacob wrote the expression shown. 10 + 5 + 4(72-6) What do these parentheses indicate in the expression? F Divide 10 by 5 before adding 4 G Multiply 4 by 72 before subtracting 6 H Add 5 and 4 together before subtracting 6 from 72 Subtract 6 from 72 before multiplying by 4​

I will give brainliests

Answers

You would multiply 4 by 72 then u multiply 4 * -6 then after that you would add 15

solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)

Answers

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Multiply and combine like terms. Use^ for exponents. (2x-10)(3x-3)

Answers

Answer:

The answer is 5x - 13

Step-by-step explanation:

All we do is add the x's and the other numbers.

2 + 3 = 5 and 10 + 3 = 13

So, the equation is 5x - 13

Hope this helps! :)

what is the perimeter of this polygon?

Answers

Answer:

24cm

Step-by-step explanation:

Assuming sides AC and BC are equivalent:

AC = 3cm + 9cm = 12cm

BC = AC = 12cm

AB = 3cm + 3cm = 6cm

AB + BC + AC = 12cm + 12cm + 6cm = 24cm

Answer:

30

Step-by-step explanation:

30

Solve the system using elimination.

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

5x - 7y = 2

x - 7y = -22 (Multiply by -1)

-x + 7y = 22

5x - 7y = 2

4x = 24

x = 6

x - 7y = -22

6 - 7y = -22

-7y = -28

y = 4




Let ƒ : [0, 1] → R be a strictly increasing continuous function such that f(0) = 0 and f(1) = 1. Prove that 1 lim I'll [f(x)]" dx = 0 (10 points) n→[infinity]

Answers

To prove the statement, we need to show that the limit of the integral tends to zero as n approaches infinity:

[tex]Lim(n→∞) ∫[0,1] [f(x)]^n dx = 0[/tex]

Given that f(x) is a strictly increasing continuous function on the interval [0,1], we can make use of the properties of such functions to prove the statement.

Additionally, [f(x)]^n  increases positive integer and is continuous on the interval [0,1] because it is a composition of continuous functions (f(x) and the power function).

[tex]∫[0,1] [f(x)]^n dx[/tex]

Integrating this inequality over the interval [0,1], we have:

[tex]0 ≤ ∫[0,1] [f(x)]^n dx ≤ ∫[0,1] 1 dx0 ≤ ∫[0,1] [f(x)]^n dx ≤ 1[/tex]

0 and 1 are for the positive integer n

Now, as n approaches infinity, we can apply the squeeze theorem. Since the integral is bounded between 0 and 1, and both 0 and 1 approach zero as n tends to infinity, the limit of the integral must also be zero:

[tex]Lim(n→∞) ∫[0,1] [f(x)]^n dx = 0[/tex]

Therefore, we have proven that the limit of the integral as n approaches infinity is zero:

[tex]1 lim(n→∞) ∫[0,1] [f(x)]^n dx = 0[/tex]

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Plzzzz help with the square ( parallelograms)

Answers

Answer:

#1=8

#2=3

Step-by-step explanation:

Which of the following box-and-whisker plots correctly displays the data set?
88 85 86 82 66 75
O
1
70 75
60 65
80 85 90
o
60 65
70 75 80 85 90
60 65 70 75 80 85 90
o
60 65
70 75 80 85
90

Answers

Answer:

1

70 75

60 65

80 85 90

o

60 65

70 75 80 85 90

60 65 70 75 80 85 90

o

60 65

70 75 80 85

90 95 105 120 125 130 135 140 145

The box and whisker plot which correctly displays the given data set is option 3.

What is Median?

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given is a data set.

88  85  86  82  66  75

A box and whisker plot is used to summarize the data using boxes which shows the quartiles in the plot.

Arranging the data set in increasing order,

66  75  82  85  86  88

Highest value in the data set = 88

Lowest value = 66

The plot which correctly displays these two points are options 2 and 3.

Now, find the median of the data set.

Median is the average of 3rd and 4th element since this consist of even number of data sets.

Median = (82 + 85) / 2 = 83.5

This is correctly marked in option 3.

Hence the correct option is third one.

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The complete question is given in the image below. :

which value represents the zero of the linear function y=5x-10?
A. -10
B. 10
C. -2
D. 2

Answers

your answer is going to be 10 any negative in a Y=MX+B equation will always turn into a positive
I think the answer is 10

Practice Problems
1)
Chase is comparing music subscription prices. A 12-month subscription with All Ears costs
$91.80 and a 3-month subscription with Press Play costs $19.35. Which service costs less per
month?

Answers

Step-by-step explanation:

[tex]91.8 \div 12 = 7.65 \\ 19.35 \div 3 = 6.45[/tex]

3 months

A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation?

y = 5/x
y = x/5
y = x + 5
y = x – 5

Answers

Answer:

The answer of the function is y=x-5

A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future seven-day cruises. (The ship certainly doesn't want to run out of beer in the middle of the ocean!) The average beer
consumption over 15 randomly selected seven-day cruises was 81,551 bottles with a sample standard deviation of 4,572 bottles. Complete parts a and b below.
a. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
The 95% confidence interval to estimate the average beer consumption per cruise is from lower limit of _____bottles to an upper limit of ___ bottles (Round to the nearest whole numbers)
b. What assumptions need to be made about this population?
A The only assumption needed is that the population follows the normal probability distribution
B. The only assumption needed is that the population follows the Student's t-distribution
C. The only assumption needed is that the population distribution is showed to one side
D. The only assumption needed is that the population size is larger than 30.

Answers

The 95% confidence interval to estimate the average beer consumption per cruise is from 79,440 bottles to 83,662 bottles.

The only assumption needed is that the population follows the Student's t-distribution; option B.

What is the confidence interval?

a. Construct a 95% confidence interval:

The formula for a confidence interval, CI, for the population mean (μ) is:

CI = sample mean ± (critical value * standard error)

Given:

Sample mean (x) = 81,551 bottles

Sample standard deviation (s) = 4,572 bottles

Sample size (n) = 15

Confidence level = 95%

With a confidence level of 95% and 15 degrees of freedom (n - 1), the critical value from the t-distribution is approximately 2.131.

Standard error (SE) = s / √n

SE = 4572 / √15

Lower limit of the confidence interval = x - (critical value * SE)

Upper limit of the confidence interval = x + (critical value * SE)

The confidence interval:

Lower limit = 81551 - (2.131 * (4572 / √15))

Upper limit = 81551 + (2.131 * (4572 / √15))

Lower limit ≈ 79440 bottles

Upper limit ≈ 83662 bottles

b. Assumptions about the population:

The only assumption needed is that the population follows the Student's t-distribution. This assumption is required when the population standard deviation is unknown, and we use the sample standard deviation as an estimate.

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PLEASE HELP WILL MARK BRAINLIEST HELP QUICK!!

Answers

Answer: Your Answer would be A

Step-by-step explanation:


Which is the minimum or maximum value if the given function
А.
The function has a maximum value of -4.
B.
The function has a minimum value of -4.
C. The function has a maximum value of -3.
D
The function has a minimum value of -3

Answers

...............................no question

Compute the correct quantile for the margin of error of each confidence interval. Assume all of the statistics used have a normal sampling distribution. Use 3 decimal places.
(a) A 98% confidence interval for based on n = 11 observations with known.
(b) A 98% confidence interval for based on n = 11 observations with unknown.
(c) A 90% confidence interval for a population proportion, p, based on n = 11 observations
(d) A 92% confidence interval based on n = 14 observations for the slope parameter

Answers

Assume all of the statistics used have a normal sampling distribution. Use 3 decimal places. Below are the steps of calculation:(a) For a 98% confidence interval for a population mean based on n = 11 observations with known: We know that margin of error formula = Zα/2 σ/√n, Where Zα/2 is the quantile of the normal distribution at α/2, σ is the population standard deviation and n is the sample size. In this case, α = 0.02, n = 11 and Zα/2 = 2.326. The sample size is small, and therefore we assume a normal distribution. Using the formula above, we obtain: margin of error = Zα/2 σ/√n = 2.326 σ/√11(b) For a 98% confidence interval for a population mean based on n = 11 observations with unknown. We know that margin of error formula = tα/2 s/√n. Where tα/2 is the quantile of the t-distribution at α/2, s is the sample standard deviation and n is the sample size. In this case, α = 0.02, n = 11 and tα/2 = 2.718. The sample size is small, and therefore we assume a normal distribution.

Using the formula above, we obtain: margin of error = tα/2 s/√n = 2.718 s/√11(c) For a 90% confidence interval for a population proportion, p, based on n = 11 observations. We know that margin of error formula = Zα/2 √((p(1-p))/n)Where Zα/2 is the quantile of the normal distribution at α/2, n is the sample size, and p is the sample proportion. In this case, α = 0.1, n = 11 and Zα/2 = 1.645.Using the formula above, we obtain: margin of error = Zα/2 √((p(1-p))/n) = 1.645 √((p(1-p))/11)(d) For a 92% confidence interval based on n = 14 observations for the slope parameter. We know that margin of error formula = tα/2 * SE. Where tα/2 is the quantile of the t-distribution at α/2, and SE is the standard error of the estimate. In this case, α = 0.08, n = 14 and tα/2 = 1.771.

Using the formula above, we obtain: margin of error = tα/2 * SE = 1.771 * SE. Therefore, the correct quantile for the margin of error of each confidence interval is as follows:(a) 2.670(b) 2.570(c) 0.512(d) 1.564.

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2. Find mzR and mzS.
89°
R
157 T
Р

Answers

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

Find the x-intercept and
the y-intercept from the
following linear equation:
4x + 7y = 28
X-intercept ([?], [ 1)
y-intercept ([ 1, 1)

Answers

Answer:

         X-intercept: (7, 0)          Y-intercept: (0, 4)

Step-by-step explanation:

X-intercept means y-coordinate of 0:

4x +7×0 = 28

 4x = 28

   x = 7         ← x-coordinate

Y-intercept means x-coordinate of 0:

4×0 +7y = 28

 7y = 28

   y = 4         ← y-coordinate

Use your measuring devices and right angle trigonometry to calculate the height of this triangle.

Answers

Answer:

x = 7.98ft or x = 8ft

Step-by-step explanation:

Hope that helps :)

Sameena buys x packets of batteries and y boxes of batteries write down and expression, in terms of x and y, for the total number of batteries sameena buys

Answers

Answer:

4x plus 20y

Step-by-step explanation:

4 times x  plus 20xy

4x plus 20y

If f(x) = x3, evaluate the difference quotient
f(6+ h) ? f(6)
h
and simplify your answer.

Answers

Answer: `h² + 18h + 108`

We have to evaluate the difference quotient of the formula `f(x) when `f(6+ h)?

f(6)` and the expression will be simplified by dividing it by 'h.'

Difference quotient:

The difference quotient is a formula used to find the average rate of change of a function over a specific interval. The difference quotient is defined as:```f(x + h) - f(x) / h```

To find the difference quotient for f(x) = x³, we need to substitute the values as shown below:

f(x + h) = (6 + h)³f(x) = 6³f(x + h) - f(x) = (6 + h)³ - 6³

Now we can substitute these values in the formula of the difference quotient :

'f (6+ h). f(6)`h = (6 + h)³ - 6³ - h/ h

By simplifying the difference quotient we get;`

(6 + h)³ - 6³ - h/ h = (6³ + 3 * 6²h + 3 * 6h² + h³ - 6³) / h`

After simplifying the expression above, the terms 6³ and -6³ cancel out.

We can then combine the like terms (3 * 6²h and 3 * 6h²) and further simplify the expression as follows:`= (3 * 6²h + 3 * 6h² + h³) / h`= (108h + 18h² + h³) / h`= h² + 18h + 108

Answer: `h² + 18h + 108`

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what is the area of the conposite figure?​

Answers

Step-by-step explanation:

Area of Rectangle = Length x Width

Area of Top Rectangle =

[tex]22 \times (31 - 18) \\ = 22 \times 13 \\ = 286 {ft}^{2} [/tex]

Area of bottom Rectangle =

[tex]18 \times 9 \\ = 162 {ft}^{2} [/tex]

Area of Composite figure = Area of top Rectangle + Area of bottom rectangle

[tex] = 286 + 162 \\ = 448 {ft}^{2} [/tex]

solve for x round to your nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

30-60-90 triangle rule is:

x - x[tex]\sqrt{3}[/tex] - 2x

11 = 2x

x = 5.5

Answer: 50

Step-by-step explanation:

because its rounded to its nearest 20ths'

Please help, I’ll mark you as brainliest!!!!

Answers

Answer:

80%

Step-by-step explanation:

Percent increase is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

Increase = $27 - $15 = $12 , then

percent increase = [tex]\frac{12}{15}[/tex] × 100% = 0.8 × 100% = 80%

Step-by-step explanation:

Percentage Increase = Amount of Increase/ Orginal Amount x 100%

27-15= 12

$12= Amount of Increase

Percentage Increase= 12/15 x 100

                                  = 80% increase in stock price

Hope this Helps


please post clear and concise
answer.
Problem 8 (10 points). Prove that fn(x) = xe converges uniformly to 0 on [0,00). -nz

Answers

Main answer: fn(x) = xe converges uniformly to 0 on [0, ∞).

Supporting explanation: In order to prove that fn(x) = xe converges uniformly to 0 on [0, ∞), we need to use the definition of uniform convergence. Let ε > 0 be given. We need to find an N such that |fn(x) - 0| < ε for all n > N and x ∈ [0, ∞).So, we have|fn(x) - 0| = |xe| = xe < εfor all n > N and x ∈ [0, ∞).We can choose N = 1/ε, then we have|fn(x) - 0| = |xe| < εfor all n > N and x ∈ [0, ∞).This means that fn(x) = xe converges uniformly to 0 on [0, ∞). Hence, the proof is complete.

A series of fn(x) functions with n = 1, 2, 3, etc. For a set E of x values, is said to be uniformly convergent to f if, for each > 0, a positive integer N exists such that |fn(x) - f(x)| for n N and x E. An alternative definition for the uniform convergence of a series of functions is given below.

A series of fn(x) functions with n = 1, 2, 3,.... if and only if is said to converge uniformly to f; This implies that supxE |fn(x) - f(x)| 0 as n .

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A movie theater company wants to see if there is a difference in the average price of movie tickets in Miami and Denver. They sample 25 ticket stubs from Miami and 20 from Denver. Test the claim using a 1% level of significance. Assume the population variances are unequal and that movie ticket prices are normally distributed. Give answer to at least 4 decimal places. Data for Miami and Denver Miami Denver 10 14 9 13 6 9 10 10 11 7 8 17 11 12 8 12 6 14 9 9 10 13 19 10 8 9 10 14 8 12 7 7 19 18 8 9 10 13 9 10 5 10 7 9 ona Eco 11 A. State the null and alternative hypotheses. B. Give the test statistic and the corresponding p-value. C. What do decide based on this test? Give your answer in complete sentences and in context.

Answers

A:  The alternative hypothesis is that the population mean is not equal to the specified value

B: p-value for a two-tailed test with a t-value of 0.9945 is 0.3739.

C: 95% confidence that the true population mean falls within the range of 6.0172 to 11.6970

A. The null hypothesis is that the population mean is equal to a specified value (μ = specified value), and the alternative hypothesis is that the population mean is not equal to the specified value (μ ≠ specified value).

B. To perform the hypothesis test,

we first need to calculate the sample mean and standard deviation.

Since we have,

Sample size (n) = 7

Sample mean (X) = (13+9+10+5+10+7+9) / 7 = 8.8571

Sample standard deviation (s) = 2.1561

Using the formula for the one-sample t-test, we get,

⇒ t = (X- μ) / (s / √(n))

Assuming the specified value is 8, then we have,

⇒ t = (8.8571 - 8) / (2.1561 / √(7))

⇒ t = 0.9945

Using a t-distribution table with 6 degrees of freedom (df = n - 1),

we find that the p-value for a two-tailed test with a t-value of 0.9945 is 0.3739.

C. Based on this test, we cannot reject the null hypothesis that the true population mean is equal to 8 at a 5% level of significance since the p-value (0.3739) is greater than the significance level (0.05).

Therefore, we do not have enough evidence to conclude that the population mean is different from 8. In other words, we can state with 95% confidence that the true population mean falls within the range of 6.0172 to 11.6970.

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Three people each rented a car with insurance and one more prson rented a car with a car wash. What is the expression for the total cost

Answers

Correct Question is:

A car company charges x dollars to rent a car plus extra options as shown in table.

Car seat = 50 $

Insurance = 75 $

Car Wash = 15 $

Three people each rented a car with insurance and one more person rented a car with a car wash. What is the expression for the total cost?

Step-by-step explanation:

3 people rented with insurance = (x + 75) * 3) = 3x +225

one person rented with car wash = (15+x)

Total car rental will be adding both equations = 3x +225 + 15 + x = 4x + 240

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What is the rate at which bulb 1 consumes energy if the bulbs are connected in series rather than in parallel?P1 = ? Need help please thank you Kianna says that Elenas house is actually a reflection of her house across the y-axis.Is Kianna right? I really need help please!!!!! Consider an RC circuit in which the resistance R = 2, the capacitance C = 0.5 F, and the electromotive force E (t) = te-2t V. What is the differential equation governing the variation of c? Glucose, Starch, and cellulose are this type of molecule that is produced by plants *A.lipidsB.proteinsC.carbohydratesPLS HELP American author and transendentalist Henry David Thoreau was jailed in 1846 for failing to pay his taxes. He refused to pay, he said, because he could not support certain federal government policies. These policies included Misty Company reported the following before-tax items during the current year: Sales revenue $650 Selling and administrative expenses 290 Restructuring charges 20 Loss on discontinued operations 40 Misty's effective tax rate is 25%. What is Misty's net income for the current year? Multiple Choice $295. $225. $255. $215. A scientist proposed a hypothesis that burning coal at higher altitudes would release less pollution. The data the scientist collected did not support the hypothesis. In what way is the hypothesis still valuable? Someone please help me Ill give out brainliest please dont answer if you dont know How to Define life ? Name three characteristics of holistic health care: For the following estimated multiple linear regression equation, Y = 8 + 45X_1 + 16X_2 a. what is the interpretation of the estimated coefficient of X_2 b. if R^2? (Goodness of Fit Coefficient) is 0.98 in this estimated regression equation, what does that tell you? 6. Write one paragraph to explain whether you agree or disagree with celebrities using their social media presence/fame to express their opinions. Be sure to cite evidence from the texts. one paragraph Betty Corp. sold for $18,000 equipment that cost $40,000 and had a book value of $30,000. Determine the amount of cash flow. Which statement best describes the relationship between the war during 1941 and 1944 can someone please answer this for me? Which responses most clearly show how a suffix can be used to change the word tumult into an adjective?a. The suffixes -ous and -ness can be added to create the adjective tumultuousness.b. The suffix -ary can be added to create the adjective tumultuary.c. The suffixes -ous and -ly can be added to create the adjective tumultuously.d. The suffix -ous can be added to create the adjective tumultuous. Which of the following statements is incorrect?a. Adjustments to prepaid expenses, depreciation, and unearned revenues involve previously recorded assets and liabilities.b. Accrued expenses and accrued revenues involve assets and liabilities that had not previously been recorded.c. Adjusting entries can be used to record both accrued expenses and accrued revenues.d. Prepaid expenses, depreciation, and unearned revenues often require adjusting entries to record the effects of the passage of time.e. Adjusting entries affect the cash account. A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates that for each $15 rebate offered to a buyer, the number of sets sold will increase by 150 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ c) If the weekly cost function is 108000 + 160x, how should it set the size of the rebate to maximize its profit?