Using integration by parts, the application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.
What is the integration by parts?Integration by parts is similar to the inverse of the product rule, and is given as follows:
[tex]\int u dv = uv - \int v du[/tex]
Hence it is the product of functions u and dv. To identify function u, the precedence is given is as follows:
L: Logarithmic.I: Inverse.A: Arithmetic.T: Trigonometric.E: Exponential.In this problem, we have a logarithmic and an arithmetic function, hence:
Function u is the logarithmic function ln(x).Function g is ∫x^12 dx, hence x^13/13.The application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.
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Helen is making 3 batches of cupcakes for a bake sale. Each batch is 1 2/3 pounds one cooked and packaged. How heavy will 3 batches be in pounds?
Answer: 5 lbs
Step-by-step explanation: 1 2/3 x 3= 5
Answer:
5 pounds
Step-by-step explanation:
1 2/3 x 3 = 5 :)
The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
A. The area will be one-fourth the original area.
B. The area will be 4 times greater.
C. The area will be 16 times greater.
D. The area will be increased by 4 units.
If the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.
As given in the question,
Let 'a' be the base of the triangle
and 'h' be the height of the triangle
Area of the triangle = (1/2)×a× h
Side length increased by scale factor 4
New base = 4a
New height=4h
New area=(1/2)×4a×4h
= 16×(1/2)×a ×h
= 16 times the original area
Therefore, if the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.
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elane has $7.00 total in dimes and nickels in her coin jar. the number of dimes that elane has is seven less than three times the number of nickels. how many of each coin does elane have
SHOW WORK PLS AND THE EQUATION
Answer:
Let the number of 50p coins be x
and the number of 25p coins be 2x
Therefore,
Value of 50p coins = 50x p
and value of 25p coins = 2 * 25x p
= 50x p
Total value = Rs 34 = 34 * 100 p= 3400p
According to the question,
50x p + 50x p = 3400 p
=100x p = 3400p
= x = 3400p/100p
= x = 34
Therefore , number of 50p coins =34
and , number of 25p coins = 34 * 2 = 68
Step-by-step explanation:
hope it helps
& Quinn is reading a book with 788 pages. She is on page 329.
About how many more pages does Quinn have left to read?
Explain your reasoning.
There are about 460 pages left for Quinn to read
About how many more pages does Quinn have left to read?The given parameters are
Pages = 788
Pages read = 329
The number of pages does Quinn have left to read is
Pages left = Pages - Pages read
So, we have
Pages left = 788 - 329
Evaluate
Pages left = 459
Hence, there are about 460 pages left for Quinn to read
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Six less than a number is four more than one-third of the number. Find the number.
Answer:
x - 6 = 1/3x + 4
x = 15
Hope this helps :)
Hope this helps :)Explanation and Check part below.
Step-by-step explanation:
1. Get the variable on one side by subtracting x.
x - 6 = 1/3x + 4
- 1 x - 1 x
- 6 = - 2/3x + 4
2. Subtract 4 which is the inverse operation of addition.
- 6 = - 2/3x + 4
- 4 - 4
- 10 = - 2/3x
3. Divide by - 2/3 which is the invers eoperation of multiplication.
- 10 = - 2/3x
- 2/3 - 2/3
(Keep,Change,Change - KCC method)
- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15
- 10 = - 2/3x
- 2/3 - 2/3
15 = x → x = 15
Check:
15 - 6 = 1/3(15) + 4
9 = 15/3 + 4
9 = 5 + 4
9 = 9
True statement.
. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.
1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.
2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.
3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location
Try this opttion
Step-by-step explanation:
[tex]1. \ F=m*a; \ = > \ F=740[\frac{m}{s^2} ]*6[kg]=4440[N];[/tex]
[tex]2. \ F=m*a; \ = > \ F=82[kg]*450[\frac{m}{s^2}]=36900[N]=36.9[kN];[/tex]
[tex]3. \ F=m*a; \ = > \ a=\frac{F}{m}; \ = > \ a=\frac{1800}{53}=33.9623[\frac{m}{s^2}].[/tex]
Kingwood's zoo has two elephants. The male elephant weighs 5/8 of a ton and the female elephant weighs 1/2 of a ton. How much more does the male weigh than the female?
whats 901513115/10293371972328287 X 1/2039 winner gets brainlist
which of these probability values indicates an event that is certain to happen
-0.80
-0.60
0.50
1
0.50 and 1 probability values indicates an event that is certain to happen
An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.
Probability of an event can not be negative.
We can easily discard first two options i.e. -0.80 and -0.60 as they are negative values.
Last two options i.e., 0.5 and 1 are positive values and they also lies in the range from 0 to 1. We can say that these values are considerable.
Final answer: 0.50 and 1 probability values indicates an event that is certain to happen
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What is the vertex form of y equals 2 x squared minus 8 x plus 1?
According to the given information, the vertex form is 2(x - 8)² + 1.
What do we mean by vertex form?A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants. A vertex form in geometry is a location where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra. The four corners of a square, for instance, are each referred to as a vertex.So, vertex form:
Vertex form: f(x) = a(x - h)² + kNow, substitute the given values as:
2(x - 8)² + 1Therefore, according to the given information, the vertex form is 2(x - 8)² + 1.
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The Johnsons have accumulated a nest egg of $40,000 that they intend to use as a down payment toward the purchase of a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to invest a minimum of $2400/month in monthly payments (to take advantage of the tax deduction) toward the purchase of their house. However, because of other financial obligations, their monthly payments should not exceed $3000. If local mortgage rates are 4.5%/year compounded monthly for a conventional 30-year mortgage, what is the price range of houses that they should consider? (Round your answers to the nearest cent.)
Using the monthly payment formula, the price range of houses that they should consider is:
[$513,666.78, $592,083.48].
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.For this problem, the parameters are given as follows:
r = 0.045 -> r/12 = 0.045/12 = 0.00375.n = 30 x 12 = 360.The minimum price, discounting the down payment, is found when A = 2400, hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]2400 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]
[tex]P = \frac{2400[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]
P = $473,666.78.
Considering the down payment, we add $40,000, hence the minimum value of the range is: $513,666.78.
The maximum price, discounting the down payment, is found when A = 3000, hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]3000 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]
[tex]P = \frac{3000[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]
P = $592,083.48.
Considering the down payment, we add $40,000, hence the maximum value of the range is: $592,083.48.
Hence the price range is:
[$513,666.78, $592,083.48].
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Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
ASAP. Please help me with 63 please. I will give an Brainly and bunch of extra points to whoever answers it right please.
Answer:
i hope this is what you needed
Step-by-step explanation:
Question
If A {3,7,9,13, 22}, B = {5,7,14, 23, 31), and C= {8, 9, 15, 23, 25, 31, 33), then what is (AUB) nC?
Provide your answer below:
a company makes a table for $15 and sells it for $19 what is the percent of markup
Answer:
126.6667%
Step-by-step explanation:
Pablo necesita
7
8 de litro de leche para preparar una bebida. La jarra que usa tiene graduadas las medidas de 1
1
2 litros y
3
4 de litro, como se observa en esta figura.
Answer:
i don't speak Spanish but I think it's 3
Which polynomial function is graphed below?
The graph of the polynomial function is (x+4) (x-2) ²
Polynomial function: what is it?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.
AROUND THE GIVEN PARABOLA,
WE HAVE A POLYNOMIAL FUNCTION;
f(x)=(x+4)(x-2)²
at x=0
the value of f(x)=16
at x=-2
the value of f(x)=32
hence for every value of f(x)=(x+4)(x-2)² is true .
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Which formula can you use to find b?
A. a/sin(A) = b/sin(B)
B. c • sin(B) = b • sin(a)
C. b^2 = a^2 + c^2 - 2ac • cos(B)
D. B^2 = a^2 + c^2 - 2ac • cos(b)
The formula we can use to find the side b is b² = a² + c² - 2ac cosB
Sine and cosine ruleThe measure of sides and angles of a triangle are determine using the cosine and sine rule.
A triangle is a shape that has 3 sides and angles. For a triangle with angles ABC and sides a, b and c, the cosine rule is used as shown;
c² = a² + b² - 2ab cosC
The sides that is being determined will determine the angles that will be at the right hand side of the expression so that;
b² = a² + c² - 2ac cosB
Hence the formula we can use to find the side b is b² = a² + c² - 2ac cosB
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Answer:
C. b^2 = a^2 + c^2 - 2ac • cos(B)
Step-by-step explanation:
Using the mileage chart below, find the distance between Sturgis and Hot
Springs.
The distance between the Sturgis and Hot springs is 102 miles.
We have a mileage chart,
We have to estimate the distance between Sturgis and Hot Springs.
What is mileage chart ?A chart showing distances between various points in miles is called mileage chart.
According to the question -
The horizontal row with the name Sturgis intersects the vertical column with the name Hot springs at the block representing 102 miles.
Therefore, the distance between the Sturgis and Hot springs is 102 miles.
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An Apple Computer store sells computers for $1,234.88. Assuming the computers cost $10,896 per dozen. Find the dollar markup for each computer. Note: Round your answer to the nearest cent. Find the percent markup on cost for each computer. Find the percent markup on selling price for each computer.
If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%
Given,
An Apple Computer store sells computers = $1234.88
The cost of computers per dozen = $10896
Cost of one computer = [tex]\frac{10896}{12}[/tex] = $908
Then the dollar markup for each computer = 1234.88-908
=$326.88
Percentage markup = [tex]\frac{326.88}{908}[/tex]×100
=36%
Hence, If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%
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(Score for Question 4: of 4 points)
4. Write the indicated conditional statements for the given statement.
Conditional Statement:
Converse Statement:
Inverse Statement:
Contrapositive Statement:
Biconditional Statement:
If a car is out of gas, then it will not run.
Assuming the original statement is biconditional, write the biconditional version of the statement:
The given statement is "A car is out of gas, and it will not run". The conditional statement can be given by using the word 'If'.
The conditional statement of the statement given in question is given by: If a car is out of gas, then it will not run. The Converse statement of the statement given in question is given by: If the car will not run, then it has no gas. The Inverse statement of the statement given in question is given by: If the car is not out of gas, then it will run. The Contrapositive statement of the statement given in question is given by: If the car will run, then it is not out of gas. The Biconditional statement of the statement given in the question is given by: If and only if the car is out of gas, then it will not run.
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Please answer the question in the picture, I will mark brainliest
Answer:
C
Step-by-step explanation:
A certain missing number will result in the expression 20 + 24 when using the Distributive Property. What number must be multiplied by ( 5 + 6 ) to result in the expression: 20 + 24
Answer:
4
Step-by-step explanation:
You want to know what number, multiplied by (5 +6), gives 20 +24.
Distributive propertyFor some number 'a', you want ...
a(5 +6) = (20 +24)
We can solve for 'a' in the usual way.
11a = 44 . . . . simplify
a = 44/11 = 4 . . . . divide by the coefficient of 'a'
The missing number is 4: 4(5 +6) = 20 +24.
__
Additional comment
You can also look at it term by term:
5a = 20 ⇒ a = 4
6a = 24 ⇒ a = 4 . . . . the same factor, as you want it to be
Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class width up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.) 8 classes for n = 75 measurements; minimum value = 50; maximum value = 205
Class boundaries list: 50,70,90,110,130,150,170,190,210
1. Calculate the range.
range= maximum value - minimum value= 205 - 50 =155
2. Divide the range by the number of classes.
width= [tex]\frac{155}{8}[/tex] =19.375
3. Round this number up to the nearest multiple of five.
width = 20
class boundaries: smallest class boundry= minimum value =50
difference between two class boundries= width
class boundaries list: 50,70,90,110,130,150,170,190,210
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.
The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the of possible values can be represented by a continuous random variable.
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5-2/5f+3/2f=f-1/2f+4
Answer:
[tex]f=-\frac{5}{3}[/tex]
Step-by-step explanation:
Enter the value of n for the equation (3n•3*2)4=3^28
n=
The solution of this expression is n = 81.
What is the value of n behind a given expression?
In this problem we have an expression, where n is the variable to be found by using algebra properties, especially power properties. Then, we show the complete procedure below:
(3 · n · 3²)⁴ = 3²⁸ Given
(3 · n)⁴ · (3²)⁴ = 3²⁸ Power of a product
3⁴ · n⁴ · 3⁸ = 3²⁸ Power of a product / Power of a power
3¹² · n⁴ = 3²⁸ Multiplication of powers with same base
n⁴ = 3²⁸ / 3¹² Compatibility with multiplication / Existence of multiplicative inverse / Definition of division / Associative and modulative properties
n⁴ = 3¹⁶ Division of powers with same base
n = 3⁴ Definition of quartic roots
n = 81 Definition of power / Result
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4m+2mm+m2+m+3m2 simplified
4m^2+7m
I did this before
Create an expression for the perimeter of the triangle.
Side 1: x
Side 2: x
Side 3: y
I need to know the answer to this ASAP, which of these aren’t equivalent please help.
Answer:
b
Step-by-step explanation:
cuz remember () and no parentheses has a different meaning
5.) Joey is saving money for a car that will cost at least $2500. His grandpa gave him. $460 and he is currently saving $15 each week. Write and solve an inequality to represent the number of weeks it will take Joey to save up for his car.