HELP! I don't understand
Answer:
Step-by-step explanation:
integrate (1-x³)² with respect to x
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]
(2 pts.) 9.) Find two equivalent expressions to tan 20° using the cotangent function in degrees.
tan (u) = a/b = cot (90° – u)
Let u = 20°
Take it from here.
The equivalent value of the expression is tan20 is a cot(70).
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.
Given that the trigonometric expression is tan30. The equivalent expression will be written as,
tan (u) = a/b = cot (90° – u)
tan (20) = cot ( 90 - 20 )
tan 20 = cot 70
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Amanda went to the Farmer’s market with her family. She had $5.00 to spend and decided she wanted to spend it on peaches. Each peach cost 68 cents. How many peaches could she buy ?
Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Answer:
sin(72°)=x÷20ft.
sin(72°)×20ft.= 19ft 252 inches
the ladder reach 19ft 252 inches tall on the building.
Step-by-step explanation:
Evaluate f(-2) = -3x² - 2x
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
-2F=7x
Eyjafjallajokull is a volcano in Iceland. In a recent eruption, a projectile is ejected with an initial velocity of 304 feet per second. The height, H, in feet is given by the equation: H=-16t^2+304t Where t is the time in seconds. We will use the equation that traces the path of the projective to determine the following information: 1) The time it takes the projective to reach its highest point. (t=?) 2) The maximum height? (H=?) 3) The time it takes the projectile to return to the ground? (t=?)
Answer:
A volcano ejected with an initial velocity of 304 feet per second.
The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.
We will use the equation that traces the path of the projectile to determine the following information:
1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)
The equation; H = -16t^2 + 304t, a=-16; b=304
t = -304/2°(-16)
t = 9.5 sec to reach max height
2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)
t = 9.5
H = -16(9.5^2) + 304(9.5)
h = = -1444 + 2888
h = 1444 ft is the max height
3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.
-16t^2 + 304t = 0
factor out -16t
-16t(t - 19) = 0
t = 19 sec to reach the ground
Step-by-step explanation:
what is the slope of the line?
Answer:
1/2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
We have two points on the line
(-1,3) and ( 1,4)
m = ( 4-3)/(1 - -1)
= (4-3)/(1+1)
= 1/2
Answer:
Start where the line meets a point. Then go up and over until it meets another.
The answer is 1/2
So go up one and over two. Then other problems such as this one should be pretty straight forward
mark has a board that is 12 feet long he cuts the board into 8 peices that are the same lenght. how long is each peice
Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.
The cubic curve y = x'3 + ax'2 + bx + c passes through the point (1,3) and has tangent line y = x - 2 at the point (0,-2). What are the values of a, b, and c?
Answer:
answer to your question is: a = 3, b = 1, c = -2
Use the shell method to find the volume of the solid obtained by rotating the region bounded by the curves y=4x-2 and y=x^2+1 about the y-axis. Simplify your solution.
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
First, we determine the limits between the two curves. ([tex]f(x) = 4\cdot x -2[/tex], [tex]g(x) = x^{2}+1[/tex])
[tex]f(x) = g(x)[/tex] (1)
[tex]4\cdot x - 2 = x^{2}+1[/tex]
[tex]x^{2}-4\cdot x +3 = 0[/tex]
[tex](x-1)\cdot (x-3) = 0[/tex]
The lower and upper bounds are 1 and 3, respectively. It is to notice that [tex]f(x) > g(x)[/tex] for [tex]x \in (1, 3)[/tex]. Thus, we determine the volume of the solid of revolution by shell method, that is to say:
[tex]V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx[/tex] (2)
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex], [tex]f(x) = 4\cdot x - 2[/tex] and [tex]g(x) = x^{2}+1[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx[/tex]
[tex]V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx[/tex]
[tex]V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx[/tex]
[tex]V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)[/tex]
[tex]V = \frac{208\pi}{3} - 40\pi -24\pi[/tex]
[tex]V = \frac{16\pi}{3}[/tex]
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
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what’s is the surface area of the tent if the length is 2 meters, the width is 2 meters, and the height is 3 meters?
Answer:
45 is the right answer
Step-by-step explanation:
Triangles ABC and EDC are similar.
ACE and BCD are straight lines.
Angle BAC = angle DEC
Angle CBA= angle CDE
AB = = 6 cm, BC = 2.5 cm, CD = 7.5 cm and CE = 10.5 cm.
Answer:
18cm
Step-by-step explanation:
The ratio is given by: 7.5/2.5=3
DE = 6 × 3 = 18 cm
or
DC/CB = x/AB
7.5/2.5 = x/6
3=x/6
x=6×3=18 cm
Ok ok ok ok ok ok ok
Answer:
ok ok ok ok ok
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
Two rectangles are similar. The first has a length of 5cm and a width of 2cm. The second rectangle is an enlargement using a scale factor of 3. What will be the perimeter of the larger rectangle??
Group of answer choices
30 cm
4.666666667 cm
42 cm
21 cm
Answer:
C.) 42 cm
Step-by-step explanation:
When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3
2*2+5*2=4+10=14
14*3=42
Help help help math math math
18
Step-by-step explanation:
X-3=15
Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.
X=15+3
X=18
Answer:
18
Step-by-step explanation:
Plz answer and explain. And no link please! It is appreciated.
Answer:
I think option a k.9
is correct
A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.
A: their down payment is what percent of the purchase price?
B.what percent of the purchase price would a 108,000 down payment be ?
Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
23x25 = please help
Answer:
575
Step-by-step explanation:
23/4 = 5.75 times 100
Answer:
575
Step-by-step explanation:
23×25=575 so 575 would be your answer
A geologist examining a road cut at this location would recognize that Layer A is
than Layer B. This conclusion is made through the principle of
This conclusion is made through the Principle of Lateral Continuity.
The statement made is that "A geologist examining a road cut at this location would recognize that Layer A is older than Layer B."
The principle that guides this observation is that of lateral continuity which states that layers of sediment extend laterally in all directions.
This means that the new layer B is simply an extension of the older layer A.
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Answer:
Younger, superposition
Step-by-step explanation:
The first answer is younger, because for one, it's on the top of the ground sequence, and two because the second question options all prove that answer and not the "older" one.
The second answer is superposition, which states that it goes oldest to youngest from base up.
-Lexi
Determine if the two triangle are congruent. If they are state how you know
Answer:
aas
Step-by-step explanation:
angle angle and the middle is side
f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
Jose and Gavin are reading the same book. At the beginning of the month, Jose was
on page 10 and Gavin was on page 37. Jose will read 17 pages per day and Gavin will
read 14 pages per day. Let J represent the page of the book that Jose is on at the end
oft days into the month, and let G represent the page of the book that Gavin is on at
the end oft days into the month. Write an equation for each situation, in terms of t,
and determine what page Jose and Gavin will be on on the day they are both on the
same page.
Using linear functions, it is found that:
Jose's equation is: [tex]J = 17x + 10[/tex].Gavin's equation is: [tex]G = 14x + 37[/tex].They will be on the same page on the 9th day.Linear function:A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Jose:
Initially, he was on page 10, hence [tex]b = 10[/tex].He reads 17 pages per day, hence [tex]m = 17[/tex].Hence, Jose's equation is: [tex]J = 17x + 10[/tex].Gavin:
Initially, he was on page 37, hence [tex]b = 37[/tex].He reads 14 pages per day, hence [tex]m = 14[/tex].Hence, Gavin's equation is: [tex]G = 14x + 37[/tex].The day they will both be on the same page is x for which:
[tex]J = G[/tex]
Hence:
[tex]17x + 10 = 14x + 37[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3}[/tex]
[tex]x = 9[/tex]
They will be on the same page on the 9th day.
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50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
**WILL GIVE BRAINLIEST IF ANSWERED RIGHT** (this is not math but i just put it as math)
Choose all the answers that apply.
Which are benefits of cardiovascular exercise?
decreases the resting heart rate
helps the blood vessels dilate more easily
decreases the stroke volume
weakens the muscles surrounding the lungs
makes the lungs able to fill more completely
Answer:
Makes the lungs able to fill more
1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution
2. −k+_(k+1)=2k
make equation have no solution
Answer:
HOPE THAT HELPS BUT I DO NOT HAVE ANSWER
Step-by-step explanation:
3×2k=????
3×5=??
6×k=??
6×4=??
then put all those together in a 2 step equation and then add 9 to the answer
If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
[tex]dx x-2secx[/tex]
Answer:
x + 2tan X . sec X / X
Step-by-step explanation:
The derivatives of trigonometric functions is as follows
* d/dx (sin x) = cos x
* d/dx (cos x) = - sin X
* d/dx (tan x) = sec ^2 X
* d/dx (Cot x) = -cosec^2 X
* d/dx (sec x) = tan x . sec x
* d/dx (cosec x) = -cot x . cosec x
and so the derivative of sec is tanx . sec x
d/dx x - sec x
the derivative of variables is considered 1.
since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.
so d/dx of X is = 1
d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.
in conclusion the final answer is = x + 2tan X . sec X / X
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
Kaela wants to join a fitness club. Club A charges a $35 joining fee, plus $19 per month. Club B charges a $28 joining fee, plus $23 per month. Kaela wrote the expressions below to figure out how much each club would cost for x months.
Club A: 35+19x
Club B: 28+23x
Which expression can be used to determine how much more money Club A will cost than Club B after x months?
A....... 7−4x7 - 4 x
B...... 7+4x7 + 4 x
C..... 63+42x63 + 42 x
D.... −7+4x
Will give brainliest.
The expression can be used to determine how much more money Club A will cost than Club B after x months is 7 - 4x
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost for x months.
Club A charges a $35 joining fee, plus $19 per month. hence:
y = 19x + 35
Club B charges a $28 joining fee, plus $23 per month. hence:
y = 23x + 28
Club A will cost than Club B:
19x + 35 - (23x + 28)
= 7 - 4x
The expression can be used to determine how much more money Club A will cost than Club B after x months is 7 - 4x
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Please help me solve
Answer:
i think t = 24
Step-by-step explanation:
68°+(5t-8)° = 180°
5t-8 = 180-68
5t-8 = 112
5t = 120
t = 120/5
t = 24