Answer:
[tex]{ \sf{ \int 4x \cos(2 - 3x) dx = {4x}^{2} \cos(2 - 3x) + c }}[/tex]
Step-by-step explanation:
From integration by parts:
[tex]{ \boxed{ \bf{ \int u \: \frac{dv}{dx} = uv - \int v \: \frac{du}{dx} }}}[/tex]
let u be cos(2-3x) and let dv/dx be 4x:
[tex]{ \sf{ \frac{du}{dx} = 3 \sin(2 - 3x) }} \\ \\ { \sf{ v = \int 4x = 2 {x}^{2} }}[/tex]
Substitute in formular box:
[tex]{ \sf{ = (2 {x}^{2} \times \cos(2 - 3x)) - \int 2 {x}^{2} .3 \sin(2 - 3x) dx}} \\ = { \sf{2 {x}^{2} ( \cos(2 - 3x) - 3 \int \sin(2 - 3x)dx }} \\ { \sf{ = 2 {x}^{2} ( \cos(2 - 3x) - 3( - \frac{1}{3} \cos(2 - 3x) ) + c}} \\ { \sf{ = {4x}^{2} \cos(2 - 3x) + c}}[/tex]
HELP ME PLEASE.
find the perimeter,area and T.S.A of the following solids
Answer:
I think the perimeter is 50cm the solids is 600cm³
Step-by-step explanation:
Perimeter: (5×10)=50cm
Solids: divided with 2box(A box & B box)
Abox: 5cm x 5cm x 12cm
=300cm³
Bbox: 5cm x 12cm x 5cm
=300cm³
Solids:(Abox +Bbox) 300cm³ + 300cm³
=600cm³
I think, I'm sorry if it's wrong
help pls will give brainly
Answer:
Graph B
Step-by-step explanation:
Look at the first part of the function: 2-x , -7 ≤ x ≤ 5
If you put -7 in place of x you'll have:
2 - (-7) = 2 + 7 = 9
In the graph A, the point x = -7 have a y = 8, so cannot be the graph A. and it have to be graph B
What is the leading coefficient of 8 -5x+x^3-2x^4
Answer:
-2
Step-by-step explanation:
8 -5x+x^3-2x^4
Write the polynomial from highest power of x to lowest power of x
-2x^4+x^3-5x+8
The leading coefficient is the number in front of the highest power of x
-2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)
In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?
Answer:
2/5
Step-by-step explanation:
The fraction that play basketball is the number that play basketball over the total
14/35
Divide the top and bottom by 7
2/5
Given a dilation around the origin, what is the scale factor K?
D o, K = (2,4) → (3,6)
Answer:
It is 3/2, I got it right on my exam.
Step-by-step explanation:
Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.
Let the dilation factor be represented by a, then,
2 × a = 3
a = 3/2
Similarly for the y-axis,
4 × a = 6
a = 6/4 = 3/2
Hence, the dilation factor of the given point is 3/2.
Learn more about Dilation:
https://brainly.com/question/13176891
#SPJ2
what is simplfiled for x^8 y^2 / x^3 y^9
Answer:
x^5/y^7
Step-by-step explanation:
x^8 y^2 / x^3 y^9
We know that a^b/ a^c = a^(b-c)
Simplify the x terms
x^8 / x^3 = x^(8-3) = x^5
Simplify the y terms
y^2 / y^9 = y^(2-9) = y^-7
We know a^-b = 1/a^b
y^-7 = 1/y^7
Put the terms back together
x^5/y^7
What is the greatest common factor of 30, 45, and 90?
Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
#What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?
Discriminant = b2 – 4ac
–8
4
8
16
Answer:
16
Step-by-step explanation:
the quadratic equation –3 = –x2 + 2x can be changed into :
x²-2x-3= 0
a=1, b= -2 , and c = -3
so, the discriminant = (-2)²-4(1)(-3)
= 4 + 12 = 16
A typist can type 4800 words per hour. How many words can she type in 1 minute?
(Using direct proportion)
Answer: 80
1 hour= 60mins
So to know how many words can she type in 1 min, we do the math "4800 : 60"
Please help explanation if possible
Answer:
length = 48 feet , width = 32 feet
Step-by-step explanation:
Using
2W + 2L = 160 with W = L - 16 , then
2(L - 16) + 2L = 160 ← distribute and simplify left side
2L - 32 + 2L = 160
4L - 32 = 160 ( add 32 to both sides )
4L = 192 ( divide both sides by 4 )
L = 48
Substitute L = 48 into W = L - 16
W = 48 - 16 = 32
Thus length = 48 feet and width = 32 feet
Answer:
l = 48 cm
w = 32 cm
Step-by-step explanation:
length = l
Width w= l - 16
Perimeter = 160 ft
2*(l + w) = 160
2*(l + l -16) = 160
2*(2l - 16) = 160
Use distributive property
2*2l - 2*16 = 160
4l - 32 = 160 {add 32 to both sides}
4l = 160 + 32
4l = 192 {Divide both sides by 4}
l = 192/4
l = 48 cm
W = 48 - 16 = 32 cm
the two triangles below are similar use what you know about similar triangles to find the missing side. show your work
If both triangles are similar the ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]
Find the surface area of the composite figure
Answer:
384 cm^2
Step-by-step explanation:
Start with the prism (I multiply by 2 because some of the surfaces are more of):
4×15×2=1206×15×2=1806×4=24The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):
3×4/2*2=123×6=186×5=30The Last Step (adding everything):
120+180+24+12+18+30=384
What is the reciprocal of 12 is
Answer:
1/12
Step-by-step explanation:
The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.
Answer:
1/12
Step-by-step explanation:
12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa
Help anyone can help me do the question,I will mark brainlest.
area of shaded region is 537.5cm^2
4.5 X 6 - 1243
0 26
21
O
6
o
-10
Answer:
-1243
Step-by-step explanation:
4.5×6-1243
27-1243
=-1216
help me, asap, please
answer is 19
the explanation is in the attachment
Find the surface area of the triangular prism
Instructions: Determine whether the
following polygons are similar. If yes, type
in the similarity statement and scale
factor. Pano, type 'None' in the blanks.
35
M
х
w -18
50°
63
63
10
10
50°
35 N
z
18
Similar: Yes
Similarity Statement:
Scale Factor:
Answer:
No, the above polynomials aren't similar as they don't have a constant scale factor
The following polygons given in the question are not similar .
What are similar polygons ?Similar polygons are those polygon which have the similar shapes but with different size and dimensions. Similar polygons have also the scaling factor ration equal.
How to identify whether the given polynomials are similar?There are two polygons given in the question LMNO and WXYZ .
For both of the polygons, we are checking the adjacent sides of the polygons.
The value of LM = 35 but for the other polygon , its adjacent side WX = 18.
Similar LO = 63 and WZ = 10 .
Also the adjacent angles are not equal as ∠MNO = 50° and ∠ZWX = 50° .
Therefore, the polygons given have different scaling factor.
Thus, the following polygons given in the question are not similar .
To learn more about similar polygons, refer -
https://brainly.com/question/16058229
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x^{4} - 5x^(2) + 2x + 3 < 0
the Answer is irrational number
Find the value of z
A.110
B.141
C.80
D.100
Answer:
Option A 110degree is the answerYou put $5000 in an investment account with interest compounded
continuously. Calculate the approximate annual interest needed for the
account to grow to $10,000 after 20 years.
Answer:
3.465 %
Step-by-step explanation:
10000 = 5000 [tex]e^{20r}[/tex]
2= [tex]e^{20r}[/tex]
ln(2) = 20r ln(e)
r = ln(2)/20
r = 0.03465
Find angle CBA
pls help
Answer:
40
Step-by-step explanation:
u can draw a line at point c parallel to line ab
angle at d and lower part of c is interior angle so u can find the value at lower part of c that is 180-145=35
so point c 75-35=40 is upper part of point c
upper part of c and angle b is alternate angle so both angle are the same
angle cba is 40
Answer:
<CBA = 40°
Step-by-step explanation:
If AB is parallel to DE, you can make an irregular pentagon by continuing AB and drawing a line perpendicular to DE. The sum of the interior angles of a pentagon is 540. You can use this to solve for the supplement of <CBA, then subtract that from 180. (I’m sure there’s an easier way, but I cant think of one right now).
540-90-90-145-75=x
140=x
<CBA=180-140= 40°
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to pre image
scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
I need help please help me
Answer:
I found x for you, right there.
Answer: x is 12 and y is 5
Step-by-step explanation:
Can someone please help me
Answer:
c
Step-by-step explanation:
come on ! you can literally see that in the chart.
how many parts of the gray 3/8 are covered by the gray 1/4 ?
2 parts = 2/8 are clearly covered by 1/4.
2/8 is what part of 3/8 ?
it is the same question as "2 is what part of 3" ?
is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.
is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.
is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !
is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.
once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.
Find the measure of the missing angles.
100°
b =
C=
Answer:
<b = 80
<c = 80
Step-by-step explanation:
<b and 100 form a straight line so they add to 180
<b +100 =180
<b = 180-100
<b = 80
angles b and c are vertical angles and vertical angles are equal
<c = <b = 80
Solve for x. Leave your answer in simplest radical form.
Answer:
sqrt 51
Step-by-step explanation:
You should use the pythagorean theorem, which states a^2+b^2=c^2. So the missing side length for the smaller triangle is sqrt{2^2+3^2}=sqrt{4+9}=sqrt{13}. And the side length x is sqrt{8^2-sqrt{13}^2}=sqrt{64-13}=sqrt{51}
Yet another Calculus question...
This time, it's about integrals/antiderivatives. The question asks to find the value of [tex]\int\limits^6_0 {[g(x)+2]} \, dx[/tex]. Since the derivative of 2 is 0, can I directly find [tex]\int\limits^6_0 {g(x)} \, dx[/tex]? Thanks in advance!
Answer:
[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_0 {g(x)} \, dx = 20[/tex]
[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + \int\limits^6_0 {2} \, dx[/tex][2nd Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + 2\int\limits^6_0 {} \, dx[/tex][1st Integral] Substitute in value: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2\int\limits^6_0 {} \, dx[/tex][Integral] Reverse Power Rule: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(x) \bigg| \limits^6_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
32
(I think I remember your other information correctly.)
Step-by-step explanation:
I think you said you were given
*Integral from x=-5 to x=0 of g was -14
*Integral from x=-5 to x=6 of g was 6
Asked to find integral( g(x) + 2 , from x=0 to x=6)
Yes this can be split into two integrals:
Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)
The last integral is easier... the antiderivative or 2 is 2x. So evaluate 2x as the limits and subtract. Always plug in the top limit first. 2(6)-2(0)=12-0=12
Let's start with the bigger interval from x=-5 to x=6 which was 6... and since we want to get rid of the interval from x=-5 to x=0 to find the integral of g from x=0 to 6, all we must do is do 6-(-14)=20.
Integral( g(x) + 2 , from x=0 to x=6)
=
Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)
=
20+12
=
32
