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
ALGEBRA 2:
my brain can’t handle this please i’m begging 35 points!! + brain lies
Answers
Answer:
Batoon you okay U-Pack guitar a Jeffrey vaginas how much are I guess you're everything
Find the area of a triangle with:
b: 14 cm
h: 23 cm
ANSWERS
322 cm2
322 cm3
161 cm2
161 cm3
Answers
Answer:
161cm2
Step-by-step explanation:
Area: 1/2 x base x height
1/2 x 14 x 23=161
Area is measured in cm2
Hope this helps!
Determine the slope of the line
Answers
Answer:
2 !!
Step-by-step explanation:
use RISE/RUN !! you would go up from the 1 point, on the y axis !! from there, ud go up 2, then to the right 1, so ur slope is 2/1 .... which is 2 !!
i hope this helped !
There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *
Answers
Answer:
1.5 banana each
Step-by-step explanation:
Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?
Answers
Answer:
100 miles
Step-by-step explanation:
30 POINT !!!! NEED IT ASAP
Answers
area of the rectangle: 25-10=15 so 32 times 15 is the area. area=480
area of trapezoidal areas (2 of them): the area of a trapezoid is equal to base+base/2(h) so to find the lengths of the bases you subtract 32-14=18 then divide by 2 to get 9 for the length of one base. the length of the other is 5. plug into equation to get 5+9=14/2=7(h). the height is 10 so 7 times 10 is 70. multiply by 2 since there are 2 identical trapezoids. area of both=140
add both areas (480+140=620). multiply 620 by 4.90 to get $3038. no there is not enough, it is over by $38.
Apply the distributive property to simplify the expression 7(11-7).
Answers
Answer:
28
Step-by-step explanation:
The Distributive property uses the number outside the parenthesis and combines it (using multiplication) with the ones inside.
So, the number 7 will be multiplied with the numbers inside the parenthesis.
7(11-7)
7 × 11 = 77
7 × -7 = -49 (It will just be the same way you multiply but with a added negative sign.)
77-49=
28
need helpppppp
plz and thank u
Answers
5-1/10
Step-by-step explanation:
4-1/2+3/5=
9/2 + 3/5=
45/10+6/10=51/10=5-1/10
What is the constant of proportionality of y = 7x?
Answers
Answer:
7
Step-by-step explanation:
I did these types of questions for fun in 6th grade
-2 + b < 3
.............
Answers
Answer:
I believe we are solving for b. b<5
Step-by-step explanation:
Which graph represents an exponential function?
Answers
Answer:
second which would be c for edg
Step-by-step explanation:
Olive has 600 fruit trees. Some of the trees are apple trees. The rest of the trees are pears trees and plum trees in the ratio of 7:5 there are 175 plum trees what is the fraction of apple trees
Answers
Answer: 3/10
Step-by-step explanation:
Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:
= 175 ÷ 5/7
= 175 × 7/5
= 245
Plum trees = 175
Pear trees = 245
Apple trees = 600 - (175 + 245)
= 600 - 420
= 180
Fraction of apple trees = Number of apple trees / Total number of trees
= 180/600
= 3/10
2 x (c2 - 5) for c = 4 sos!!
Answers
Answer:
6
Step-by-step explanation:
2(4·2-5)
2(8-5)
2·3
6
Answer:
6
Step-by-step explanation:
2 x (c2 - 5) = 2 x (4 x 2 - 5)
= 2 x (8 - 5)
= 2 x (3)
= 6
Find the original price.
The discount on a toy robot is 40%. The toy robot is on sale for $54?
Answers
Answer:
$75.60
Step-by-step explanation:
Well, I don't exactly know why, but I know that you need to 54 multiply by 1.40 to get the answer.
Answer:
$75.60
Step-by-step explanation:
54 increase 40% =
54 × (1 + 40%) = 54 × (1 + 0.4) = 75.6
a $528 video game console is on sale for 15% off. if sales tax is 6.25% what is total coast
Answers
The term "off" indicates that the price of the item is reduced by the percentage off. Sales tax is however, added to the price of the item.
The total cost of the video game console is: [tex]\$476.85[/tex]
Given that:
[tex]Game = \$528[/tex]
15% off means that, the price is reduced by 15%.
So, we have:
[tex]Sales =Game - Game \times 15\%[/tex]
[tex]Sales = \$528 - \$528 \times 15\%[/tex]
[tex]Sales = \$528 -\$79.2[/tex]
[tex]Sales = \$448.8[/tex]
The total cost (when the sales tax of 6.25% is added) is:
[tex]Total = Sales + Sales \times 6.25\%[/tex]
[tex]Total = \$448.8 + \$448.8 \times 6.25\%[/tex]
[tex]Total = \$448.8 + \$28.05[/tex]
[tex]Total = \$476.85[/tex]
Hence, the total cost of the video game console is: [tex]\$476.85[/tex]
Read more about sales tax at:
https://brainly.com/question/19715580
If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT
Answers
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
can someone please help me u can just do 5 and explain please
¿Puede alguien ayudarme? Puedes hacer 5 y explicar por favor.
Answers
Answer:
i only can explain until number 7
i am sorry
maybe that help you
Use the equation below to find the y, M=11, x=2 and B=5
Answers
Answer:
The length and breadth of a rectangular
field are equal to 600 m and 400 m
respectively. Find the cost of the grass to be
planted in it at the rate of ₹ 2.50 per m2
#1: Which of the following represent an arithmetic sequence?
3, 7, 11, 15, 19, ...
3, 6, 12, 24, 48, ...
-10,-8, -6, -4,-2,0, 2, 4, ...
-1, 5, 11, 17, 23, 29, ...
1, 4, 9, 16, 25, 36, ...
1, 1, 2, 3, 5, 8, 13, 21, ...
1,5, 25, 125, ...
13, 33, 53, 73, 93,
Answers
Answer:
3, 7, 11, 15, 19 is an arithmetic sequence
Step-by-step explanation:
they go up by 4
What is the value of x?
Answers
Answer:
possibly 4 if not I'm sorry
Can someone help me out with these?
"write a linear equation for line m,n,l,p"
Answers
Answer:
Step-by-step explanation:
m: y = -2x + 4
n: y = x - 1
l: y = 4
p: x = -4
m: y=-2x+4
slope: 2
2/1=2
Its negative because the line is going down from left to right
y-intercept:
it crosses the y axis at (0,4)
n: y=x-1
slope: 1
1/1=1
Its positive because the line is going up from left to right
y-intercept:
it crosses the y axis at (0,-1)
l: y=4
slope: 0
A vertical line's slope is always 0
y-intercept:
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
How do you write 75% as a unreduced fraction
Answers
Answer:75/100
Step-by-step explanation:
75%=75/100
Answer:
75/100
Step-by-step explanation:
reduced fractions of this include but are not limited too: 3/4 6/8 12/16 24/32 48/64
Help this is timed!!!
Answers
Answer:
C. (4,2)
Step-by-step explanation:
The point where the lines intersect is (4, 2)
Answer:
IT IS 2,4!!!!!!!!!1
Step-by-step explanation:
IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?
Answers
Answer:
The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answers
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
I need help I can’t understand having the answer is going to help a lot
Answers
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
Please help I'm giving 50 points I don't have time to do assignment as of now so can someone do me the favor of doing it?
Answers
Answer:
Step-by-step explanation:
1. Not a function
2. Function
3. Function
4. Not a function
5. Not a function
6. Function
7. Function
8. Not a Function
9. Function
10. Not a Function
Answer:
1. Not a function
2. A function
3. A function
4. Not a function
5. Not a function
6. A function
7. A function
8. Not a function
9. A function
10. Not a function
Step-by-step explanation:
The only rule for a relationship to be a function is...
Only ONE output for ONE input
1. There is more than one output for one input
2. Each input has only one output
3. Each input has only one output
4. There is more than one output for one input
5. There is more than one output for one input
6. Each input has only one output
7. Each input has only one output
8. There is more than one output for one input
9. Each input has only one output
10. There is more than one output for one input
Hope this helps :)
Let me know if there are any mistakes!!
There are 24 pints of juice in 2 containers, how many pints of juice in 1 container?
Question 1 options:
6
12
2
48
Answers
For example, if I had two cups of water and they can both hold 12 oz’s, and I have 24 oz’s. 12 ozs will hold the total 24.
Which expression has a value closest to 1? (Use 3.14 as the value of 1.)
A.
77
V10
B. 75-V74
O C.
V37-V26
3V5 – V20
D.
Answers
Answer:
C: √37 - √26
Step-by-step explanation:
√37 = 6.083
√26 = 5.1
6.083 - 5.1 = 0.983
Answer:
C
Step-by-step explanation:
Need help with math question 8th grade math
Answers
Answer:
Step-by-step explanation:
I am also in 8th grade, anyways
x reprsents = 30 nickles
y represents = $1.02.
I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!
Answer:
Step-by-step explanation:
x reprsents = 30 nickles
y represents = $1.02.