Answers
Answer:
E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]
Step-by-step explanation:
[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]
Related Questions
The composite score range for the ACT is:
A. 20 to 85
B. 1 to 98
C. 1 to 50
D. 1 to 36.
Answers
The composite score range for the ACT is D) 1 to 36.
The composite score range for the ACT (American College Testing) is the total score achieved by an individual after taking all four sections of the ACT, which include English, math, reading, and science. The composite score ranges from 1 to 36, with 36 being the highest possible score.
The ACT score is used by colleges and universities in the United States to assess the readiness of a student to enter college. A high composite score indicates that the student has the skills and knowledge needed to succeed in college-level courses. Therefore, the correct answer is D) 1 to 36.
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5 - X = -6
what is the variable
Answers
I hope it’s right :)
Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?
Answers
2(2) + 3(3) =
4 + 9 = 13
I don't know what 90p means but basically, u have to multiply that by 3 and add it to our current total which is 13.
Then, u substract the total cost from the 20 and you should get the change.
You spent m minutes studying on Monday On Tuesday you studied 15 more minutes than you did on Monday. Wednesday, you studied 30 more minutes than you did Tuesday you studied twice as long on Thursday as you did on Monday on Friday you studied 20 minutes less than you did on thursday
Answers
Answer: 7m - 40
Step-by-step explanation:
Monday = m
Tuesday = m + 15
Wednesday = m + 15 + 30 = m + 45
Thursday = 2 × m = 2m
Friday = 2m - 20
The expression will now be:
= m + m + 15 + m + 45 + 2m + 2m - 20
= 7m- 40
Calculate the value of the expression 44-(5x4)
Answers
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
44 - (5 x 4) = 44 - 20
= 24
Eight less than 7 times a number is -29.
Answers
Answer:
7x-8=-20
Step-by-step explanation:
Pls HAAAAAAAALLLLPPPPP plez
I give brainliest to whoever answers correctly w/ an explanation first
answer the question below
i don’t get it, pls explain
Answers
What is the prime factorization of 91?
Answers
Answer:
The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.
Step-by-step explanation:
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?
A. 11%
B. 18%
C. 90%
D. 98%
Answers
Answer:
90%
Step-by-step explanation:
18/20 × 100 = 90%
I hope this helps!
Answer:
Sean answered 90% of the questions in the quiz correctly
oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ
Can any one help me out
Answers
Answer: A
Step-by-step explanation:
Answer: (-7,3)
Step-by-step explanation:
A
Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 8 years if the interest is compounded 6 times each year?
URGENT PLEASE
Answers
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
Given that the interest is compounded 6 times each year, therefore, the value of n = 6.now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]
[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]
[tex]A=2500\times 1.48935[/tex] ∵ [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]
[tex]A=\:3723.38[/tex] $
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
pls help me solve surds , √75 ,√48, √12,√125,√28. pls help
Answers
√48 = √(4²×3) = √4² √3 = 4√3 = 6.93
√12 = √(2²×3) = √2² √3 = 2√3 = 3.46
√125 = √(5²×3) = √5² √3 = 5√3 = 11.18
√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
√75 = 5√3 = 8.66
√48 = 4√3 = 6.93
√12 = 2√3 = 3.46
√125 = 5√5 = 11.18
√28 = 2√7 = 5.29
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answers
Answer:
I think the answer is 56 .
John makes 2 cookies a day. Write an equation that shows the relationship between the days and number of cookes John
makes. Write an equation
Answers
Answer:
2x
x = each day
Step-by-step explanation:
Answer:
y= 2(x)
Step-by-step explanation:
The Y is the cookies. X is the days. Every day that John bakes, he makes 2 cookies. So you multiply the days by 2 to find the number of cookies he bakes.
The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:
Determine whether the data described in the tables is best modeled by a linear function or an exponential function
Answers
Answer:
oak tree is a linear function and birch tree is exponential
Step-by-step explanation:
cuz i just did it
The oak tree have a liner function and the birch tree have exponential function .
What is linear function?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
What is exponential function?An exponential function is a mathematical function of the following form:
f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
According to the question
The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:
Number of Oak trees (x) Number of branches f(x)
0 34
3 46
6 59
9 70
12 82
So in this table we can see that there is increment in number of branches but in a pattern approx.
i.e
f(x) = 34 + 4(x)
where x will be Number of Oak trees
therefore it is a Linear function
Number of Birch trees (x) Number of branches f(x)
0 8
10 33
20 128
30 512
40 2049
So , in this table is increasing in a very fast pace but in a pattern approx.
i.e
f(x) = [tex]8*4^{\frac{x}{10} }[/tex]
Therefore it is an exponential function
Hence, The oak tree have a liner function and the birch tree have exponential function .
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Kunal told Ana he was going to drop 10 dimes on the table. He said he would give her all the dimes where the "head" side was showing.How many dimes would Ana most likely get?
Answers
Answer:
10
Step-by-step explanation:
If Ms. Wong takes out a loan of 85000 dollars with a simple interest of 5% annually, how much would she have to pay in 2 years if she returns 35000 after the first year? Show your work and your thinking.
(PLEASE HELP !!)
Answers
Answer = 6,760 in interest + the original 85,000 = 91,750
Explain why the net shown here cannot be the net of a cube
Answers
Answer:
there is an extra square missing
Step-by-step explanation:
The airplane travels 1,650 miles in 3 hours. What is
the unit rate?
Answers
Answer:
550 miles per hour
Step-by-step explanation:
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answers
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
Can anyone help me with this question?
Answers
helppppp............
Answers
Answer:
V=lwh
4x6x3
v=72
Answer:
72 cm
Step-by-step explanation:
for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm
What's the slope of the line
Answers
Answer:
-1/2
Step-by-step explanation:
first point is 1,-4
second point is 5,-6
Slope is y2-y1/x2-x1
-6 - -4 / 5 - 1
-2/ 4
-1/2
What is the area of a square with side lengths of 3/5 units? Please explain how you know.
Answers
When trying to an area of a square, you multiply one side by another side to get the answer (length x width).
3/5 x 3/5 = 9/25
Numerator x numerator.
Denominator x denominator.
Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)
Answers
Answer:
1080
Step-by-step explanation:
540x2/ or 540 + 540
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answers
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
I need some help with this question
Answers
9514 1404 393
Answer:
terms: 2
degree: 1
Step-by-step explanation:
The expression has two terms, separated by a minus sign.
The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)
terms: 2; degree: 1
Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05
Answers
Answer:
There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant
Step-by-step explanation:
H0 : p0 = 0.09
H1 : p0 ≠ 0.09
Sample size, n = 600 ; α = 0.05
Decision region
Zstatistic < Zcritical ; reject H0
P = 48 / 600 = 0.08
Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)
Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)
Zstatistic = - 0.01 /0.0116833
Zstatistic = - 0.856
Zcritical at 0.05, = - 1.96
Zstatistic > Zcritical
-0.856 > - 1.96
Hence, we fail to reject the Null
The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.
Answers
Answer:
angles
1x
3x
5x
1x +3x +5x = 180 (ASP)
9x = 180
x= 180÷9
x= 20
1x= 20
3x= 60
5x=100
angles are 20°, 60°, 100°
Step-by-step explanation:
hope it helps u
If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?
Answers
Answer:
700 feet per hour is the rate of descent
Step-by-step explanation:
3 hours is 2100 so 2100/3 is 700 which is per hour
