Romberg integration for approximating integral (x) dx gives Ry1 = 6 and Rzz = 6.28 then R11 = 2.15 0.35 4:53 5.16
Answers
Using Romberg integration, the approximation for R(1,1) is 5.72.
The Romberg integration method is a numerical technique for approximating definite integrals. It involves successively refining an estimate of the integral using a combination of the trapezoidal rule and Richardson extrapolation.
R(y,1) = 6
R(z,z) = 6.28
To determine R(1,1), we can use the formula for Romberg integration, which combines the estimates from adjacent columns:
\(R(i, j) = R(i, j-1) + \frac{R(i, j-1) - R(i-1, j-1)}{4^{j-1} - 1}\)
We can start by substituting the given values into the formula:
\(R(1,1) = R(y,1) + \frac{R(y,1) - R(z,z)}{4^{1-1} - 1}= 6 + \frac{6 - 6.28}{4^0 - 1}= 6 + \frac{-0.28}{1 - 1}= 6 - 0.28= 5.72\)
Therefore, the approximation for R(1,1) is 5.72.
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Related Questions
The selling price of a $10,000 5-year bond will be less than $10,000 if the A. Coupon rate is less than the market interest rate B. Coupon rate is greater than the market interest rate C. Coupon rate is equal to the market interest rate D. Maturity date is less than 5 years
Answers
The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.
If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate
This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.
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in the diagram,the measure of angle ACB is 25 degrees. what is the measure of angle AOB?
Answers
Answer:
m<AOB = 50°
Step-by-step explanation:
<ACB = 25° is an inscribed angle of the circle.
<AOB is a central angle of the circle.
Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:
m<ACB = ½(m<AOB)
Substitute
25° = ½(m<AOB)
Multiply both sides by 2
2*25 = m<AOB
m<AOB = 50°
jim has received scores of 69 and 82 on his first two 100 point tests. what score must he get on his third 100 point test to keep an average of 85 or greater?
Answers
Jim needs a score of 97 on his third test to keep an average of 85 or greater.
Average refers to the sum of a set of numbers divided by the count of numbers in the set. It gives a typical or central value that represents the set of numbers.
Given,
The average of his first two tests is (69 + 82) / 2 = 75.5.
To get an average of 85,
he needs the sum of his three tests to be 3 * 85 = 255.
So, the sum of his first two tests is 255 - x, where x is the score he needs on the third test.
Therefore, x = 255 - (69 + 82) = 255 - 151 = 104.
So, he needs a score of 104 on his third test.
Jim needs a score of 97 on his third test to keep an average of 85 or greater.
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Tina used 2 1/2 gallons of paint to cover 1/8 of her wall. How much paint is needed to cover her entire wall?
Answers
A baker has 85 cups (c) of flour to make bread. She
6 1/4c of flour for each loaf of bread.
uses
Answers
6 1/4 c each = 6.25
85/6.25 = 13.60
He can make 13 loaf of bread
(3x + 4)
50°
Solve for x:
Answers
Answer:
Step-by-step explanation:
Since the angle we're solving for is a 90-degree angle then we can just add the two given numbers (We know it's a 90-degree angle by the little box).
(3x + 4) + 50 = 90
(3x + 4) + 50 - 50 = 90 -50
3x + 4 = 40
3x + 4 - 4 = 40 -4
3x = 36
3x/3 = 36/3
x = 12
Now that we found x we can plug it into (3x + 4) to find the angle.
3(12) + 4
36 + 4
40
The angle is 40-degrees
You could've also done it an easier way:
Since we know that both givens will be equal to 90 and one given is already a whole number (50)
Then x has to be equal to 12 since that's the only number that can be plugged into 3x + 4 to get 40.
Will give crown help
Answers
Answer:
n x 5
Step-by-step explanation:
The pattern is to multiply each number by 5 so multiplying n by 5 will get you the expression n x 5.
Hope that helps
nonlmf'adnklsek;lk;kjfjklljkfsjklfsk
Answers
Answer:
lol brainliest pls :D
Step-by-step explanation:
©️
juan takes a number, adds $2$ to it, multiplies the answer by $2$, subtracts $2$ from the result, and finally divides that number by $2$. if his answer is $7$, what was the original number?
Answers
the original number Juan started with was 6.
Let "x" represent the original number. Juan first adds 2 to the original number, which can be expressed as (x + 2). He then multiplies this by 2, resulting in 2(x + 2). Next, he subtracts 2 from this product: 2(x + 2) - 2. Finally, he divides the resulting number by 2, giving us the equation [(2(x + 2) - 2) / 2] = 7.
Now, let's solve for the original number, x:
1. Simplify the equation by distributing the 2: [2x + 4 - 2] / 2 = 7
2. Combine the constants: (2x + 2) / 2 = 7
3. Multiply both sides by 2 to remove the denominator: 2x + 2 = 14
4. Subtract 2 from both sides: 2x = 12
5. Divide both sides by 2: x = 6
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A set of data is given: 3,7,11,11,16. Sue calculated a center of measure and got 9.6. Which center of measure did she calculate. Please help me
Answers
Answer: Average or Mean
Step-by-step explanation:
The center of measure calculated was the average or mean. To get the mean of a set of numbers, we have to add all the numbers given and then divide them by the numbers.
In this case, the mean of 3,7,11,11,16 will be:
= (3 + 7 + 11 + 11 + 16) / 5
= 48/5
= 9.6
Which of the following means a study used a bivariate correlational design?
a. presence of measured variables
b. use of correlational stats
c. inclusion of quantitative variables
d. depiction of bar graph
Answers
among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.
A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.
The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.
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A half-marathon is 13.1 miles long. There is a water station every 1 1/3 miles along the race trail and at the finish line. How many water stations are needed for the half-marathon?
choices
15
13
10
11
Answers
Answer:
10 water stations are needed
Step-by-step explanation:
To get the number of water- station needed, we simply divide the total length of the half marathon by the distance where we can find a water station
mathematically,
that would be 13.1 divided by 1 1/3
= 13.1 divided by 4/3
= 13.1 * 3/4 = 9.825 which is approximately 10
5
Uncle Drew scored 28 points in 5 minutes during a game of basketball.
5
How many points did he average per minute during that 5 minutes?
Answers
Answer:
I think its 5.6
Step-by-step explanation:
Well I divided 28 by 5 and got 5.6.
5.7 as an improper fraction
Answers
Answer:
5.7 = \(\frac{57}{10}\) as an improper fraction
Step-by-step explanation:
When dividing a number by 10 the decimal moves one place to the left. When we take 57 and divide it by 10, we get 5.7
The Dragons Soccer Team is having a pizza party and voted on
the toppings the players preferred. Of the 25 players, what
percent prefer cheese?
Answers
Answer:
no enough info
Step-by-step explanation:
Answer:
36%
Step-by-step explanation:
he length of a rectangular field is 90m and its breadth is 32m. find the length of the wire needed to fence the field
Answers
The length of the wire needed to fence the rectangular field is equal to 244 meters.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangular shape can be calculated by using this mathematical expression;
P = 2(L + B)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.B represents the breadth of a rectangle.Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;
P = 2(L + B)
P = 2(90 + 32)
P = 2(122)
P = 244 meters.
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An expression is shown.
0.0082
Write an equivalent expression in scientific notation.
X 10
Answers
Answer:
8.2 × 10-3
Step-by-step explanation:
Uh I don't know the step by step but I know the exponent is a negative because the 0's are on the left and if they are on the right it is not negative.
HOPE THIS HELPS
For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called "linear depreciation," where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $710,000, and five years after purchase, the machine is worth $180,000.
Required:
Find a formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase.
Answers
The formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase is given as follows: V (t) = Ct - rt, where C is the initial cost of the machine in thousands of dollars, r is the depreciation rate per year, and t is the time in years since the machine was purchased. V(t) = 710 - 13.7925t Answer: V(t) = 710 - 13.7925t
The value of an industrial milling machine after two years of purchase is $710,000 and after five years, the value is $180,000. Let us find the depreciation rate of the machine.
Linear Depreciation Method: Linear depreciation method is one of the methods used to calculate depreciation in accounting. It is also called straight-line depreciation. Under this method, the depreciation expense of an asset is the same for each year of its useful life.
The formula to calculate the depreciation expense using the straight-line depreciation method is:Depreciation Expense = (Cost of Asset - Salvage Value)/Useful Life Let,
The cost of the industrial milling machine = C = 710The value of the industrial milling machine after five years = S = 180The useful life of the machine in years = LWe have to find a formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase.
To find the useful life of the machine, use the following formula:Cost of Asset = Depreciation Expense x Useful Life + Salvage Value710 = (710 - 180)/L * L + 180
Simplifying the above equation, we get:710 = 530/L + 180Multiplying both sides of the equation by L and then subtracting 180 from both sides, we get:530L = 530L = 530 - 180L = 350/53.
Therefore, useful life, L = 350/53 yearsThe depreciation rate of the industrial milling machine is the difference between its cost and salvage value divided by its useful life.
Using the given information, the cost of the machine and the value of the machine after five years, we get: Depreciation Rate = (Cost of Machine - Salvage Value) / Useful LifeDepreciation Rate = (710 - 180) / (350/53)Depreciation Rate = 13.7925
Hence, the formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase is given as follows:V (t) = Ct - rt, where C is the initial cost of the machine in thousands of dollars, r is the depreciation rate per year, and t is the time in years since the machine was purchased. V(t) = 710 - 13.7925t Answer: V(t) = 710 - 13.7925t
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I AM MARKING BRAINLEST IF YOU HELP ME PLEASE! Don't forget to show work :)
Answers
Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
Answer:
Step-by-step explanation:
6x the ''2'' is supposed to be a exponent all the time -42=0
6x2 -42 + 42=0 +42 {add 42 to both sides}
6x2=42
6x2 42
------fraction brackets = ------- {divide by 6}
6 6
x2 =7
When the sample of participants is reflective of the characteristics of the population, it is said to be?
Answers
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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Please help with this question!
Answers
Answer:
this is confusing
Step-by-step explanation:
try to explain it....
n is an integer. What are the possible values of n? A -2, -1, 0, 1, 2, 3, 4, 5, 6 B BUDE -2 < n ≤ 6 C -1, 1, 2, 3, 4, 5, 6 -2, -1, 0, 1, 2, 3, 4, 5 -2, -1, 0, 1, 2, 3, 4, 5, 6, 7 E -1, 0, 1, 2, 3, 4, 5, 6
Answers
Answer: Choice E
Explanation:
The given inequality means n is between -2 and 6. We exclude -2 itself, but include 6.
The set of integer values is -1, 0, 1, 2, ..., all the way up to 6.
Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3
![Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/0Lq5pT9j6dHsTX92qJQfgDoEapzxylpV.jpeg)
Answers
The formula for the Volume(V) of the cylinder is given as,
\(V=\pi r^2h\)Given:
\(\begin{gathered} \pi=3 \\ r=14ft \\ h=9ft \end{gathered}\)Therefore,
\(\begin{gathered} V=3\times14^2\times9=3\times196\times9=5292ft^3 \\ \therefore V=5292ft^3 \end{gathered}\)Hence, the volume of the cylinder is
\(5292ft^3\)Someone help I’m stuck on this
Answers
Answer: 1 is 2 rectangles, 4 in a triangle and a rhombus I think.
Step-by-step explanation:
It says what would the shapes be shown as if it was split on the line.
Which of the following statements is true about the product of a non-zero rational number and an irrational number?
A.
The product of a non-zero rational number and an irrational number is always an irrational number.
B.
The product of a non-zero rational number and an irrational number is sometimes a rational number.
C.
The product of a non-zero rational number and an irrational number is never an irrational number.
D.
The product of a non-zero rational number and an irrational number is always a rational number.
Answers
Answer:
A.
Step-by-step explanation:
A rational number times, minus or plus a irrational number is and will always be an irrational number.
Match the information on the left with the appropriate equation on the right.
Answers
Answer:
See attachment below
Step-by-step explanation:
For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,
y = - 2 / 3x + 3,
y + 2 / 3x = 3,
2x + 3y = 9 - Option C
_______________________________________________________
Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.
- 1 = ( - 3 / 2 )( 4 ) + b,
b = 5,
Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,
y = - 3 / 2x + 5,
2y = - 3x + 10,
- 2y = 3x - 10 - Option A
_______________________________________________________
( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,
Slope = 3 - 1 / 6 - 3 = 2 / 3
Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,
3 = ( 2 / 3 )( 6 ) + b,
b = - 1,
y = 2 / 3x - 1 = Option D
Take a look at the attachment below for further help;
In a video game, two characters follow paths represented by and , respectively. the characters travel at different speeds and could collide with each other. which values of correspond to possible collision points? check all that apply.
Answers
The possible collision points of the two paths are given as follows:
θ = π/6.θ = 11π/6.When do the two paths collide?Each path is modeled by the equations presented as follows:
Path 1: \(r_1(\theta) = \sqrt{3} + 2\cos{\theta}\)Path 2: \(r_2(\theta) = 4\cos{\theta}\)When the two paths collide, they are at the same position, hence the points are the values of θ that respect the condition given by:
\(r_1(\theta) = r_2(\theta)\)
Hence the equation to be solved is:
\(\sqrt{3} + 2\cos{\theta} = 4\cos{\theta}\)
Isolating the cosine variable, we have that:
\(2\cos{\theta} = \sqrt{3}\)
\(\cos{\theta} = \frac{\sqrt{3}}{2}\)
Applying the inverse cosine function, the angles are obtained as follows:
\(\theta = \cos^{-1}{\left(\frac{\sqrt{3}}{2}\right)}\)
Which has two solutions:
θ = π/6 -> First quadrant.θ = 11π/6 -> Fourth quadrant.Hence the correct options are given by the first option and the last option.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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Answer:
A and E.
Step-by-step explanation:
Es.
3
e
5. Andrew says that 60 is the greatest whole
number that rounds to 60. Is Andrew
correct? Explain your reasoning
Answers
Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.
The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.
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HELP PLEASE I will give brainlist
Answers
Answer:
the second one
Step-by-step explanation:
y = 2/3 (x +6)-5
Answer:
B
Step-by-step explanation:
the numbers from $1$ to $150$, inclusive, are placed in a bag and a number is randomly selected from the bag. what is the probability it is neither a perfect square nor a perfect cube? express your answer as a common fraction.
Answers
The required probability is \(\frac{1}{10}\).
This problem is related to probability.
First we have to calculate the number of outcomes and then the number of favorable outcomes.
In this case the numbers are from 1 to 150.
First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}
Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}
Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.
Now the probability of the required problem is = \(\frac{15}{150}\)
= \(\frac{1}{10}\)
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