Answer:
for this type of question, integral by parts should be used . This involves using the formula for intregation by parts:
intudv=uv-intvdu.
lets first break apart the x and e10x into two parts - "u" and "v"
where u = x.
however, we need to find the value of v. in order to do this, we can integrate dv/dx in order to get to v.
the value of dv/dx is : e10x
u = x dv/dx = e10x
as seen in the formula, you need to have a value for u, dv, v and du.
therefore in order to get du you must differentiate u:
u = x
du/dx = 1
du = 1dx = dx
du = dx
in order to get v you need to integrate dv/dx:
\displaystyle \inte10x dx = 1/10 x10x
now that we have both parts, we can put this back into the formula.
intudv=uv-intvdu.
\displaystyle \intxe10x = x * 1/10e10x - \displaystyle \int1/10e10x dx
Step-by-step explanation:
Answer:
((10x-1)e^(10x))/10 + C
Step-by-step explanation:
10 integral (xe^(10x)) dx
Integrate by parts f=x f'=1 / g'=e^(10x) g= (e^(10x))/10
(xe^(10x)/10) - integral (e^(10x)/10) dx
Solving integral (e^(10x)/10) dx :
1/100 integral (e^u) du
= e^u/1000 = e^(10x)/100
(xe^(10x)/10)-(e^(10x)/100)
10 integral (xe^(10x)) dx
= xe^(10x)- (e^(10x))/10
= xe^10x - (e^(10x))/10 + C
= ((10x-1)e^(10x))/10 + C
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.04
B. 40%
C. 410
D. 4100
E. 0.4
Answer:
A, D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A: 0.04 is the only choice representing 4%.
Determine the perimeter of the composite figure.
Answer:
50.26 if you use 3.14 for pi
50.35 if you use 3.15 for pi
Step-by-step explanation:
First, we find the circumference of the circle in the center.
(15 - 3 - 3)/2 = 4.5
4.5 is the radius
Equation for circumference: 2*pi*r
2*pi*4.5
9pi
Depending on where you normally use 3.14 or 3.15 for pi changes the answer but for this example I will use 3.14
The circumference of the circle is 28.26
Next, add the other sides of the figure.
28.26 + 3 + 3 + 3 + 3 + 5 + 5 = 50.26
1. Zach asked some classmates which of the
following quick games they preferred.
(See the table.) He recorded the results.
Considering these results, how many of
the next 18 classmates he asked would
you expect to prefer rolling dice?
Favorite Game
shooting marbles
rolling dice
spoons
bingo
flipping coins
Number
8
10
6
G
4
N
Answer:
8 is your answer plz make me barinly least
can someone pls help me
Answer:
2nd option
Step-by-step explanation:
I need help!! Please help me
54 out of 90 people have a cat. What percent of people have a cat?
Answer:
60% of people have a cat.
Step-by-step explanation:
That would be 54/90 times 100%, or 60%
60% of people have a cat.
The stock of Company A lost $0.91 throughout the day and ended at a value
of $51.09. By what percentage did the stock decline?
Answer:
1.75
Step-by-step explanation:
just check and that person was wrong
Answer: 1.75%
Step-by-step explanation: new value: $51.09
51.09+0.91=\$52.00
Old value: 51.09+0.91=$52.00
52(1-r)=51.09
52(1−r)=51.09
{52(1-r)}{52} ={51.09}{52}
52
52(1−r)
= 1.75%
3 - 8 + (-9) ÷ 3 x 4
Answer:
-17 or (-12) - 5
Step-by-step explanation:
Mark me brainllest
T shirts are on sale: you can either buy 4 shirts for $25.25, or 6 shirts for $43.25. Which is the better deal?
Will mark brainliest if correct!
What is the area of the figure?
(will give 5 stars)
Answer:
a
Step-by-step explanation:
simple mat h
the product of (y + 2) and (y - 2) if y=7
a trapezoid is not a type of parallelogram true or false
PLS I NEED HELP!!
Will mark
gina has 24 raisins she wants to give to her 8 friends how many raisins should she give each friend?
Answer: 3 raisins
Step-by-step explanation:
She has 24 raisins to give to 8 people so you have to divide those 24 raisins by 8 people. 24/8 = 3
help please! need it asap
Answer:
AE = 19 and <EDC = 59
Step-by-step explanation:
i am almost positive that those are both right
How to estimate 2 5/6, please answer asap
Answer:
17/6 or 2.83 if simplified
An artist's canvas forms a golden rectangle. The longer side of the canvas is 66.6 inches. The shorter side is (Blank) inches long. (Round your answer to the nearest tenth of an inch.)
9514 1404 393
Answer:
41.2 in
Step-by-step explanation:
The short side of a "golden rectangle" is 2/(1+√5) times the length of the long side:
(66.6 in)(0.618034) ≈ 41.161 in
The shorter side is 41.2 inches long.
One number is three less than two times another number. If the sum of the numbers is 15, find the numbers
9514 1404 393
Answer:
6, 9
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is 15-x (because their sum is 15). The relation between the numbers is ...
2x -3 = 15 -x . . . . . three less than twice one number is the other number
3x = 18 . . . . . . add 3+x
x = 6 . . . . . . divide by 3
15-x = 9 . . . . find the other number
The two numbers are 6 and 9.
HELP ASAP! WILL GIVE BRAINLIEST TO FIRST ANSWER
Simplify. 8u+9v+3u−5v
15uv
11u + 4v
11u + 14v
5u + 4v
Answer:
11u + 4v
Step-by-step explanation:
(8u+3u)+(9v-5v)
As y increases by 10, x increases by 5.
Which equation represents this rate of
change?
Answer:
H) y = 2x
Step-by-step explanation:
Find the area of the rhombus. Leave your answer in simplest radical form.
60°
9
A) 18/3
B) 8176
C) 16273
D) 150/3
Answer:
162√3.
Step-by-step explanation:
Area = 1/2 * p * q where p and q are the diagonals.
Here p = 2*9 = 18 and we need to find q.
tan 60 = 0.5q/9
0.5q = 9 tan 60 = 9*√3
q = 18√3
So the area of this rhombus
= 1/2 * 18*18√3
= 162√3
=
How to find 2% of 3000
without a calculator
Answer:
60%
Step-by-step explanation:
what is the value of (-15/8 + l.5) divided by (15-14 3/4)
Answer:
-1 1/2
Step-by-step explanation:
1.5 = 1 4/8 = 12/8
(-15/8 + 12/8) = -3/8
(15-14 3/4 = 1/4
-3/8 ÷ 1/4 = -3/8 × 4/1 = = -3/2 or -1 1/2
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answer:
50 species every day
Step-by-step explanation:
What’s is the range of the numbers of employees in these departments
Answer:
51
Step-by-step explanation:
Range is the highest number the minus lowest number. So 54 - 3 = 51. Hope this helps!
A 5-pack of baseball caps costs $5.18. What is the unit price?
Answer:
5.18÷5=1.036 so round up to 1.04
Step-by-step explanation:
work is shown and pictured.
21. 5c+d=c+40
(a) Find the ratio c:d
Find the dot product of the two given vectors, u= [1, 6] and v= [-5, -2]
A. negative 17
B. negative 7
C. 7
D. 17
Answer:
b.negative 17
Step-by-step explanation:
i am aslo learning the same
Answer:
A. Negative 17
Step-by-step explanation:
Which choice represents the simplified exponential expression?
(7^4)^6
Answer:
(a^b)^c
=a^bc
so
7^24 is the answer
1.915812 × 10^20
Step-by-step explanation:
7^24
7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7
Point M is the midpoint of Ac. Find the coordinates of M. A(2, 3), C(6. 10)
Answer:
coordinates of M will be (4, [tex]\frac{13}{2}[/tex])
Step-by-step explanation:-
To find the coordinates of the midpoint, we can use this equation:-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
M is the midpoint of AC, where A is (2,3) and B is (6, 10)
So, x1 will be 2,
x2 will be 6
y1 will be 3
and y2 will be 10.
So, substituting these in the equation, we get:-
[tex]\frac{2 + 6}{2} , \frac{3+10}{2}[/tex]
[tex]\frac{8}{2} , \frac{13}{2}[/tex]
4, [tex]\frac{13}{2}[/tex]
So, the coordinates of the point M will be 4, [tex]\frac{13}{2}[/tex]