If the integral is
[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]
substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with
[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]
which in terms of x is
[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]
if the sum of three consecutive integer is 75 ..then what is the greatest possible value of smallest one
Answer:
If sum were 75 the integers would be 24, 25 and 26, so the next lowest/smallest sum would be 23 + 24 + 25 is 72. The answer is 23.
Answer:
smallest value=24
Step-by-step explanation:
steps are in picture.
Note:If you have any confusion you can ask me.
calculate the percentage increase for the price of a book increasing from 250 to 275.50
Step-by-step explanation:
increase in price=275.50-250
=75 .50
now,in precent
( increase in price÷initial price )×100%
=(75.50÷250) ×100%
= 30.2%
Answer:
250×275.50
68,875
answer is 68,875
I need to make n the subject
hope it's helpful
THANK YOU
solve for x of the given angle
Answer :
<LMN = 125°
<MPQ = 125°
[tex]\frac{1}{\sqrt{x} 5}[/tex]
Answer:
[tex] \frac{ \sqrt{5x} }{5x} [/tex]
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{x5} } [/tex]
[tex] = \frac{1}{ \sqrt{5x} } [/tex]
[tex] = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } [/tex]
[tex] = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]
[tex] = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]
[tex] = \frac{ \sqrt{5x} }{5x} [/tex]
Which products result in a difference of squares? Check all that apply.
PLEASE HELP ME
I NEED HELP!
Answer:
2nd - (w - 5)(w + 5)
4th - (-4v - 9)(-4v + 9)
Step-by-step explanation:
1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares
2. The second option does show the difference of squares because it is in the form (a + b)(a - b)
3. The third option is just a square because the same expression is multiplied by itself.
4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.
5. The fifth option is not the difference of squares. No term in common in both expressions
6. The sixth option is just a square because the same expression is multiplied by itself.
In all, there are two options that are the difference of squares, the 2nd and 4th.
Which ordered pair is the solution to this system of equations. X + y = 6. X=y + 2
Answer:
(4,2)
Step-by-step explanation:
x+y=6 and x=y+2, sub the second equation in the first equation, y+2+y=6, y=2 and x=y+2=4
let help and step by by explanation
Answer:
225
Step-by-step explanation:
The sides of the small square is 5 m
There are 5 full shaded squares and 8 half squares
Shaded squares = fully shaded small squares + half squares
S = F + H
F = 5x5x5 = 125
H = 8/2 x 5² = 100
S = 100 + 125
S = 225
304,015 expanded form
Answer:
300,000 + 4,000 + 10 + 5
Step-by-step explanation:
Write down what everything is worth.
The 3 is worth 300,000 since it's in the hundred thousands place
The 0 is worth nothing so write nothing
The 4 is worth 4,000 since it's in the thousands
The 0 is worth nothing so write nothing
The 1 is worth 10 since it's in the tens place
The 5 is worth 5 since it's in the ones place
Which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
The graph has vertical asymptotes x = 1 and x=2. It means that the denominator is approaching zero when x is close to 1 or x close to 2. Hence the denominator has factor x -1 and x-2 and D is the only option to have that.
Can someone do number 4 please. and show the work if you can
Step-by-step explanation:
[tex]\overline{CA} + \overline{AT} = \overline{CT}[/tex]
Since A is the midpoint, then [tex]\overline{CA} = \overline{AT}.[/tex] Therefore, we can write
[tex]2x + 8 = 4x + 2 \Rightarrow x = 3[/tex]
Using this value for x, we can write
[tex]\overline{CT} = \overline{CA} + \overline{AT}[/tex]
[tex]\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)[/tex]
[tex]\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28[/tex]
2 Rodney owns 5 shirts for every 2 pairs of jeans he owns. Draw a model to
represent the two quantities and then write a ratio to compare the quantities.
Explain your reasoning.
Ratios are used to show the relationships between 2 or more related variables.
The ratio that compare the quantities is: [tex]x : y = 5 : 2[/tex].See attachment for the modelLet
[tex]x \to[/tex] Shirts
[tex]y \to[/tex] Pair of jean
The given parameter can be represented as:
5 shirts = 2 pairs of jeans
Replace the terms with their variables
[tex]5x = 2y[/tex]
Represent as a ratio:
[tex]x : y = 5 : 2[/tex]
Hence, the ratio that compares the two quantities is: [tex]x : y = 5 : 2[/tex]
See attachment for the model that represents the two quantities
Learn more about ratios at:
https://brainly.com/question/13419413
The sum of three times a number, x, and 12
Answer:
the number of the x is 5 and the number of the Y is 10
Step-by-step explanation:
school
I need help with finding the pair of angles
Answer:
Straight
Step-by-step explanation:
supplementary means sum of two angles
with 180
you have 6 white socks and 6 black socks in your drawer all mixed up and identical in all but colour you need a pair but cannot see as it is dark and the power has gone . how many socks do you need to pick up to ensure you get at least one matching one
Answer:
3
Step-by-step explanation:
This is a classic puzzle! If you pick out three socks, and they have only 2 colors, you'll get at least one match because they can't be 3 different colors.
Select the correct answer. Choose the number sentence that illustrates the distributive property of multiplication over addition. O A. 2 (6 + 9) = (2 x 6) +9 OB. 2 x (6 + 9) = (2 x 6) + (2 x 9) O C. 2 x (6 + 9) = (2 + 6) * (2 +9)
9514 1404 393
Answer:
B. 2 x (6 + 9) = (2 x 6) + (2 x 9)
Step-by-step explanation:
The distributive property says the product is the sum of the products of the outside factor with each of the terms inside parentheses. In generic form:
a(b +c) = ab +ac
Here, we have a=2, b=6, c=9.
2(6 +9) = 2(6) +2(9)
In the 2007–2008 season,
Dwayne Wade made 439 field goals out
of 937 attempts. What was Dwayne
Wade’s ratio of successful field goals to
attempts? Write your answer as both a
fraction in simplest form and a decimal
rounded to the nearest thousandth.
Answer:
Step-by-step explanation:
Answer as a fraction = 439/937
Answer as a decimal = 0.469
===================================================
Explanation:
He made 439 baskets out of 937 attempts. So we simply form the fraction 439/937. The number of makes or successes is up top, while the number of attempts is at the bottom. The order is important.
Both 439 and 937 are prime numbers. This means the faction 439/937 cannot be reduced. So we leave it as is.
----------------
You can use a calculator or long division to find that
439/937 = 0.4685
which is approximate. Rounding to the nearest thousandth (i.e. 3 decimal places) will lead us to 0.469
If we were to move the decimal 2 spots to the right, then we convert to percent form and that's roughly 46.9%
What happens to the new image if the scale factor of the original image to new image 1:3
Answer:
The new image will be 3x bigger than the original image.
The hypotenuse of a right triangle is 5m long. The shorter leg is 1m shorter than the longer leg. Find the side lengths of the triangle.
Answer:
Longer Leg = 5
Shorter Leg = 144
Hypotenuse = 169
Step-by-step explanation:
the locations of a house, market, and library from a right triangle as shown in the diagram
Please help quick!!
Write an equation that means the same as the words in the photo (I’m not asking for you to solve the equation just to turn the words in the photo into an equation)
Answer:
4x-9
Step-by-step Explanation:
quently As
In AABC, m_A = 15°, a = 9, and b = 10. Find c to the nearest tenth.
B
uizzes
a
cher
b
С
A. 18.3
OB 21.8
OC. 22.8
D. 28.2
<<
Answer:
A) 18.3
Step-by-step explanation:
Since adding b and a gives 19.
c must be less than 19.
So, A) 18.3 is the correct answer
We know that the sum of measure of any two sides of a triangle is greater than the third Angle.
So, in this case,
( a + b ) > cOr, 9 + 10 > cOr, 19 > cNow, here only 19 is only greater than 18.3 from the options. Hence, 18.3 is the correct answer.
Not really sure how to solve this
PLS HELP!! WILL AMRK BRAINLIEST IF RIGHT
9514 1404 393
Answer:
3 feet
Step-by-step explanation:
The equation with all the parameters filled in is ...
f(t) = -16t² +8t +2
The maximum height occurs at the vertex of the function, which can be written in vertex form as ...
f(t) = -16(t² -1/2t) +2
f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)
f(t) = -16(x -1/4)² +3
The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.
Will give brainliest answer please help
Answer:
0.160573
Step-by-step explanation:
Expression sum for 18 and 12 subtracted from 50
Answer:
50 - (18+12)
Step-by-step explanation:
First write the sum of 18 and 12 in parenthesis. (18+12)
Then you write 50 - in the beginning of the expression because the sum of (18+12) will be substracted "from" 50.
Help Me Please this is due in like 15 Minutes!!!!!
Answer:
3x°+2x°+30°=180°
5x= 180-30
5x=150
x=30°
An interior angle of a regular polygon measures 170. How many sides does it have?
Answer:
20
Step-by-step explanation:
elements discovered by marie curie
Answer:
in 1898 the Curies discovered two new radioactive elements: radium (named after the Latin word for ray) and polonium (named after Marie's home country, Poland).
Step-by-step explanation:
Radium
Polonium
Y= - 1/2x + 5/2 what are the table solutions
Answer:
[tex]y = - \frac{1}{2} x + \frac{5}{2 } \\ y = \: x ( - \frac{1}{2}) + \frac{5}{2} \\ y = - \frac{6}{2} x \\ y = - 3x \\ \frac{y}{3} = x[/tex]