To choose the appropriate u in integration by parts, follow the LIATE guideline: prioritize functions in the order L-I-A-T-E.
To determine the appropriate choice for u in integration by parts for a given integral, we can follow a guideline known as LIATE (Logarithmic, Inverse trigonometric, Algebraic, Trigonometric, Exponential). The guideline suggests prioritizing the choice of u based on the following order:
L: Logarithmic functions (such as ln(x))
I: Inverse trigonometric functions (such as arcsin(x), arccos(x), arctan(x))
A: Algebraic functions (such as x^n)
T: Trigonometric functions (such as sin(x), cos(x), tan(x))
E: Exponential functions (such as e^x)
By applying the LIATE guideline, we select u as the function that appears earlier in the priority list. This choice typically leads to simplification in subsequent steps of integration.
To learn more about integration click here
brainly.com/question/31744185
#SPJ11
Watch help video Rewrite in simplest terms: -9(-5k + 3m) + 9m - 5(-5m + 9k)
Answer:
7m
Step-by-step explanation:
Given
- 9(- 5k + 3m) + 9m - 5(- 5m + 9k) ← distribute both parenthesis
= 45k - 27m + 9m + 25m - 45k ← collect like terms
= 7m
There are many cones with a radius of 7 units the equation v= 6pi h relates the height of the cone in units and the volume of the cone in cubic units complete the table using 3.14 for pi
Completed table is shown below. With this h number, we can calculate the cone's volume as V = (1/3)(72)h\(\pi\) = 49/3h\(\pi\) = 6\(\pi\)h = 131.88.
To complete the table relating the height and volume of cones with a radius of 7 units using the equation\(v = 6\pi h\), we need to substitute the radius value of 7 units into the formula for volume and then solve for height.
Height (h) Volume (V)
1 131.88
2 263.76
3 395.64
4 527.52
5 659.4
To obtain volume for each height, we plug in radius value of 7 units into the formula for the volume of a cone, which is given by \(V = (1/3)\pi r^{2} h\). This gives us \(V = (1/3)\pi (7^{2} )h = 49/3\pi h\),
which simplifies to V = 16.33h. Then we substitute this expression for V into given equation \(v = 6\pi h\) to obtain \(16.33h = 6\pi h\), and solve for h to obtain h = 6.56.
Using this value of h, we can obtain the volume of the cone as \(V = (1/3)\pi (7x^{2} )h = \\49/3\pi h = \\6\pi h = \\131.88\)
After that, by multiplying the value of h by 16.33 and rounding to two decimal places, we can determine the volumes for the other heights in the table.
Therefore, the completed table is as shown above.
Learn more about volume here:
https://brainly.com/question/29767724
#SPJ1
Hannah road 69 miles in 3 hours. What was Hannah’s unit rate per hour?
Answer:
23 mph
Step-by-step explanation:
69 miles divided by 3 hours = 23 mph
Hey anyone there? *MUST ANSWER PLS giving extra points*
Answer: The third image.
Between his 9th and 10th birthdays jimmy read one book each week there are 52 weeks in a year if each book at about 95 pages about how many pages did he read during the year?
Answer:
he read 4940 pages in a year
Step-by-step explanation:
Given data:
1 year= 52 weeks
1 book= 95pages (takes 1 week to complete)
for 1 year = 52x95
=4940
Please help me its due today
Please help me its due today
Please help me out with this no links and not stealing points
Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a 17-sided polygon is (17-2) * 180 = 2700.
Step-by-step explanation:
nick received a 5% commission on his total sales. Last week his sales totaled $2,500. How much did nick earn in commission last week?
Melissa bought a snickers bar and a gatorade for a combined $5.65. There was a tax of
8% added to the price of her
Answer:
6.102
Step-by-step explanation:
round it to 6.10 dollars !
Calculate 7% of 340❗️
Answer:
23.8
Step-by-step explanation:
7% = 0.07
Calculate 7% of 340
We take
340 times 0.07 = 23.8
So, 7% of 340 is 23.8
PLEASE GIVE BRAINLIEST! :)
Answer:
23.8
Step-by-step explanation:
percentage/100 = part/whole
where the part is what we want to find (7% of 340)
and the whole is 340.
Solving for the part, we get:
7/100 = part/340
Multiplying both sides by 340, we get:
part = (7/100) * 340
part = 23.8
Therefore, 7% of 340 is 23.8.
When finding the area of a quadrilateral, what operation would I use and why?
Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.
Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
Matrices E and F are shown below.
E = [9 2]
[12 8]
F = [ -10 9 ]
[ 10 -7]
What is E - F?
The result of the subtraction of matrices E and F is given as follows:
E - F = [19 -7]
[2 15]
How to subtract the matrices?The matrices in the context of this problem are defined as follows:
E =
[9 2]
[12 8]
F =
[-10 9]
[10 -7]
When we subtract two matrices, we subtract the elements that are in the same position of the two matrices.
Hence the result of the subtraction of matrices E and F is given as follows:
E - F = [19 -7]
[2 15]
More can be learned about subtraction of matrices at https://brainly.com/question/28076353
#SPJ1
in a study that began in 1965, a group of 3,000 adults were asked about alcohol consumption and then followed into the future. the occurrence of cases of cases between 1981 and 1995 were studied. what type of study is this?
This type of study is prospective cohort study.
What is the source of controls in a case-control study?Controls consist of individuals from the source population who do not have the outcome of interest. Case-base sampling (also known as "case-cohort" sampling): Controls are selected from the population at risk at the beginning of the follow-up period in the cohort study within which the case-control study was nested.
Learn more about Case- Control at:
https://brainly.com/question/6853023
#SPJ4
what is the answer please?
A half-century ago, the mean height of women in a particular country in their 20s was 62.9 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.87 inches.
If the mean height today is the same as that of a half-century ago, what percentage of all samples of 21 of today's women in their 20s have mean heights of at least 64.76 inches?
About _____ % of all samples have mean heights of at least 64.76 inches.
Approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.
Given: 50 years prior, the mean level of ladies in a specific country in their 20s was 62.9 inches. With a standard deviation of 2.87 inches, women in their 20s today have heights that are roughly typical. We must determine the proportion of all 21 samples that have mean heights of at least 64.76 inches among today's women in their 20s. Bit by bit clarification:
Let μ be the mean level of ladies in this day and age and allow n to be the example size. We can find the likelihood of an example mean being more prominent than or equivalent to 64.76 inches utilizing the z-score recipe, as follows: z = (x - μ)/(σ/√n) = (64.76 - 62.9)/(2.87/√21) = 3.06The likelihood that an example of 21 ladies will have a mean level more noteworthy than or equivalent to 64.76 inches is equivalent to the likelihood that a typical irregular variable Z is more noteworthy than or equivalent to 3.06.
This probability is approximately 0.0011, or 0.11 percent, according to a typical normal table or calculator. This means that approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.
To know more about standard deviation refer to
https://brainly.com/question/29115611
#SPJ11
A survey was given to a random sample of 200 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 146 respondents said they were in favor of the plan.
Determine a 95% confidence interval for the proportion of people who favor the tax
plan, rounding values to the nearest thousandth.
A 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth, is 292.
What is a survey?In order to gather information about a service, product, or process, a survey is described as an act of looking at a process or questioning a predetermined sample of people.
Based on the given conditions, formulate: 200 x 146%
Calculate the product or quotient: 292
Round the number: 292.0
Therefore, rounding data to the nearest thousandth, a 95% confidence interval for the percentage of persons in support of the tax plan is 292,
To learn more about the survey, refer to the link:
https://brainly.com/question/26144553
#SPJ1
The final cost of an item after
a 42.86% discount and 6% sales tax
is $59.36.
What is the original price
Answer:
perfect 28.22 i belive sorry if im wrong
The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
find the gcf of each pair of monomials : x3y2 and x5y
Answer: \(\text{x}^3\text{y}\)
This is the same as writing x^3y
===================================
Explanation:
When finding the GCF, we look for the smallest exponent for each variable.
The x terms of the given expressions are x^3 and x^5. The smallest exponent here is 3, so x^3 is part of the GCF.
The y terms are y^2 and y. Think of y as y^1, which shows 1 is the smallest exponent. We'll have y as part of the GCF.
-----------
We found that...
x^3 is part of the GCFy is also part of the GCFThe overall GCF is x^3y which can be written as \(\text{x}^3\text{y}\)
Side note: We ignore the coefficients since they are 1 for each monomial.
Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 3 hours?
Answer:
30 miles per 3 hours
Step-by-step explanation:
10 miles = 1 hour
10 x 3 = 30
Answer:
30 miles, if you times .5 by 3 it tells you 6 and then you times 5 by 6.
In ΔEFG, g = 6. 1 cm, f = 7. 3 cm and ∠F=69°. Find all possible values of ∠G, to the nearest 10th of a degree
The possible values of angle ∠G are 58.5° or 121.5°.
As per data,
In ΔEFG, g = 6.1 cm, f = 7.3 cm and ∠F = 69°.
We have to find all possible values of ∠G, to the nearest 10th of a degree.
To find ∠G, we have to use the sine law.
Sine Law states that
a/sinA = b/sinB = c/sinC
Where a, b, and c are the lengths of the sides opposite to the angles A, B, and C respectively.
Now, as per the sine law, we have
a/sinA = b/sinB = c/sinC
f/sinF = g/sinG
We are given, f = 7.3 cm, sinF = sin 69°, and g = 6.1 cm.
Substituting the given values in the above equation, we have
7.3/sin69° = 6.1/sin G
Simplify values,
sin G = (6.1 × sin69°) / 7.3
We know, 0 < G < 180°
∴ the possible values of
∠G = sin⁻¹ ((6.1 × sin69°) / 7.3)
Thus, we get the possible values of ∠G to the nearest 10th of a degree as follows:
∠G ≈ 58.5° or 121.5°
Hence, the possible values of ∠G are 58.5° or 121.5°.
To learn more about Sine Law from the given link.
https://brainly.com/question/30401249
#SPJ11
Please help right now (30 points if you’re interested) The table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. Find equivalent ratios when the number of books ordered is 1,2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin explain how to plot three equivalent ratios on a coordinate grid.
The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.k = y/xLet x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
Learn more about equivalent ratio on:
https://brainly.com/question/2914376
Find the equation of the line
Answer:
y= -1/3x + 5
Step-by-step explanation:
Jose has saved $75 to take tutoring classes. He must pay a registration fee of $15 and then an additional $6 for each class.
Write an equation and solve it to determine the number of classes that Jose can afford.
Given:
Total amount Jose has = $75
Registration fee = $15
Additional fee = $6 for each class
To find:
Number of classes that Jose can afford.
Solution:
Let x be the number of classes that Jose can afford.
Additional fee for 1 class = $6
Additional fee for x classes = $6x
Total fee = Registration fee + Additional fee for x classes
\(75=15+6x\)
\(75-15=6x\)
\(60=6x\)
Divide both sides by 6.
\(10=x\)
Therefore, the required equation is \(75=15+6x\) and the number of classes he can afford is 10.
help me please this determines my grade
Answer:
no the points shown would not be part of y =0.5x
hurry! points if you answer quickly!
Which table contains a set of ordered pairs that appear to lie in
graph of a linear function?
Answer:
C
Step-by-step explanation:
It is going up and down by the same amount constantly
plssssss helpppppppppppppppppppp
Answer:
c
Step-by-step explanation:
Definition of substance abuse
Answer: overindulgence in or dependence on an addictive substance, especially alcohol or drugs.
overindulgence in or dependence on an addictive substance, especially alcohol or drugs
can someone help me with this?
Answer:
204 in²
Given:
Base: 17 inch
Height: 24 inch
Area of Triangle:
1/2 * Base * Height
1/2 * 17 * 24
1/2 * 408
204 in²