Answers
Related Questions
A region is bounded by x=y^2 and x=4 and y=0 and revolved about the line x=5. Find the volume using shell method.
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If you draw the bounded region in the x,y-plane, you'll find it to be somewhat ambiguous, but since y = 0 cuts the area between the parabola x = y ² and x = 4 perfectly in half, you can use either the top or bottom half. I'll use the top one, i.e. assume y ≥ 0.
For every x taken from the interval [0, 4], we can get a shell with height √x. The distance from x to the axis of revolution, x = 5, is 5 - x, which corresponds to the radius of the shell. The area of this shell is
2π (radius) (height) = 2π (5 - x) √x
Then the volume of the solid is the sum of infinitely many such shells made at every 0 ≤ x ≤ 4, given by the integral
[tex]\displaystyle 2\pi \int_0^4 (5-x)\sqrt x\,\mathrm dx = 2\pi \int_0^4 \left(5x^{1/2}-x^{3/2}\right)\,\mathrm dx \\\\ = 2\pi \left(\frac{10}3x^{3/2}-\frac25x^{5/2}\right)\bigg|_0^4 \\\\ = \boxed{\frac{416\pi}{15}}[/tex]
Complete the following truth table. Use T for True and F for False. Attached is the photo needed to solve problem.
Answers
Answer:
If you want me to find out how you got it, please dm me.
Which comparison is correct?
Answers
Answer:
C is correct
Step-by-step explanation:
10/12=0.83...
2/3=0.66...
2/3<10/12
Answer:
C
Step-by-step explanation:
Why the others are incorrect:
A: [tex]\frac{2}{10} > \frac{3*2}{5*2}[/tex] → [tex]\frac{2}{10} > \frac{ 6}{10}[/tex] This statement/comparison is false
B : [tex]\frac{2*2}{4*2} > \frac{4}{8}[/tex] → [tex]\frac{4}{8} > \frac{4}{8}[/tex] This statement/comparison is false
D:[tex]\frac{9}{12} < \frac{3*2}{6*2}[/tex] → [tex]\frac{9}{12} < \frac{6}{12}[/tex] This statement/comparison is false
Why answer C is CorrectC: [tex]\frac{2*4}{3*4} < \frac{10}{12}[/tex] → [tex]\frac{8}{12} < \frac{10}{12}[/tex] This statement/comparison is true
3. What is the length of a rectangle with a width of 1.2 m and an area of 2.4 m2 m ?
Answers
Step-by-step explanation:
area=length×width
2.4=x×1.2
1.2x=2.4
x=2.4÷1.2
x=2
therefore width = 2cm
The length of the rectangle is 2 meters.
We have,
Width of rectangle= 1.2m
Area of rectangle = 2.4 m²
To find the length of a rectangle when given its width and area, you can use the formula:
Length = Area / Width
So, the length rectangle
Length = 2.4 m² / 1.2 m
Length = 2 meters
Therefore, the length of the rectangle is 2 meters.
Learn more about Area of rectangle here:
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What is the distance between the following points?
y
>
2 3 4 5 6 7 8 9
-2-
.
-4
-5
-6
-7+
-8
-9
Answers
Point are
(2,-3)(8,-9)Using distance formula
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(8-2)^2+(-9+3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+(-6)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]
[tex]\\ \sf\longmapsto \sqrt{72}[/tex]
[tex]\\ \sf\longmapsto 8.2units[/tex]
Using Formula
[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{ Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \:(y_2 \: - \: y_1)} }}}}}\end{gathered} [/tex]
Substuting the values[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: - \: (- 3) \bigg)^{2} } [/tex]
[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: + \: 3 \bigg)^{2} } [/tex]
[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (6 ) ^{2} \: + \:( - 6 )^{2} } [/tex]
[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (36 ) \: + \:( 36 ) } [/tex]
[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{72} [/tex]
[tex]\bf \longrightarrow \:Distance \: = \: 8.485281[/tex]
Approximate distance = 8.4
Hence , the distance between 2 points is
8.4 units
if x and y are linear pair of angel then x +y=
Answers
Answer: x + y = 180²
Step-by-step explanation:
A linear pair is a pair of adjacent, supplementary angles.
Adjacent means next to each other.
Supplementary means that the measures of the two angles add up to equal 180 degrees.
Therefore, by definition, if x and y are linear pairs of angles, then x + y = 180.
8/11 - Applying the Distributive Property
1. What is the simplest expression equivalent to 5(2x - 13) ?
Answers
Distributive property just means multiply the 5 by each term inside the parentheses.
khai triển hàm ln x theo các lũy thừa của x-1 và xác địnhkhoảnghội tụ của chuỗi lũy thừa vừa nhận đc áp dụng tìm tổng của chuỗi
Answers
Answer:
I want in English
Step-by-step explanation:
I don't know other languages than English
30= 2w + 2h
W= 3/4 h
Answers
Answer:
h=60/7
w=45/7
Step-by-step explanation:
just try it.
2w=30-2h
2w=28h
2w÷2w=28h÷2
w=12h
Write the first 4 terms of the arithmetic sequence. The first term is - 1 and the
common difference is 3.
Answers
Answer:
-1, 2,5,8
Step-by-step explanation:
nth term =a+(n-1) *d
-1+(n-1) *3
-1+3n-3
3n-4
t2 =3*2-4
6-4
2
t3=3*3-4
9-4
5
t4=3*4-4
12-4
8
The absolute value of the dilation factor is the ratio of each side length of the dilated quadrilateral to the corresponding side length of the preimage. How does the ratio of the perimeters in parts B and D compare with the ratio of corresponding side lengths
Answers
9514 1404 393
Answer:
perimeter ratio = dilation factor
Step-by-step explanation:
In general, all linear dimensions are scaled by the dilation factor. This includes lengths of sides, perimeter, circumference, diameter, radius, or any other 1-dimensional (length) measure of a figure.
The ratio of perimeters is equal to the ratio of side lengths.
what is the volume of a unit cube?
Answers
Step-by-step explanation:
Volume of unit cube= (1)³ unit³= 1 unit³
help me besties pls and have a good Bestie
Answers
Answer:
6
Step-by-step explanation:
Area = length x width
Input the numbers:
Area = 78
length = 13
78 = 13 x width
width = 78 / 13
width = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Width=6m
Step-by-step explanation:
Area=78m^2
Length=13m
width=?(let width be x)
[AREA OF RECTANGLE=length× width]
78=13×x
78=13x
×=6
evaluate the expression 3 divided by -729
Answers
Answer:
-0.00411522633
Step-by-step explanation:
Malek sets out for a hike at 8.00 am and returns at 17:15.
How long was Malek hiking for?
hours and
minutes
Answers
Answer:
9 hours and 15 mins
Step-by-step explanation:
17 - 8 (time calculation)
What is the size of each piece in square units?
What is the area of the shaded rectangle in square units?
Answer Asapp plezz
Answers
Answer:
8 pieces are shaded
Size of one square is (1/3)*(1/5)=1/15
The area of shaded region is basically (2/3)*(4/5)=8/15
The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
From the given figure we can see that 8 pieces of the square makes a shaded region.
The area of a square = side x side
[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]
Therefore, the Size of one square is 1/15.
The area of the shaded region rectangle = length × Width
[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]
Learn more about the area;
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Find x and y plz help me show work
Answers
Answer:
Sorry but the photo is not clear
Can someone help me with this?
Answers
9514 1404 393
Answer:
CNBD -- using the given statement regarding perpendicularityΔLAW ≅ ΔWKL by ASA -- using the markings on the figureStep-by-step explanation:
The given information tells us there is one congruent side in the two right triangles. That is not sufficient to claim congruence of the triangles.
CNBD
__
The figure shows one congruent angle in addition to one congruent side, so the figures can be shown to be congruent using the ASA theorem.
ΔLAW ≅ ΔWKL
_____
Additional comment
We don't know which answer is expected. You should discuss this question with your teacher, since it appears to be missing the statement that
∠ALW ≅ ∠KWL
Solving Equations by Dividing 2) 9x= -135 Solve for x. 0 -144 O 126 O 15 0 -15
Answers
Explanation:
9x = -135
Divide by 9 on both sides
X = -15
It is -15 since 135 is negative
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{9x = -135}}[/tex]
[tex]\huge\boxed{\text{DIVIDE 9 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{9x}{9}= \dfrac{-135}{9}}}[/tex]
[tex]\huge\boxed{\mathsf{\bullet \ CANCEL: \dfrac{9}{9}\ because\ it \ gives\ you\ 1}}[/tex]
[tex]\huge\boxed{\bullet\ \mathsf{KEEP: \dfrac{-135}{9}\ because\ it\ helps\ solve \ for}}\\\huge\boxed{\mathsf{the\ x-value}}[/tex]
[tex]\huge\boxed{\mathsf{x = \dfrac{-135}{9}}}\\\\\huge\boxed{\mathsf{\dfrac{-135}{9}= x}}}[/tex]
[tex]\huge\boxed{Simplify \ it\uparrow}[/tex]
[tex]\huge\boxed{\mathsf{x = \bf -15}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: Option D. -15 }}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
36 inches
What is
another name for that
length?
Answers
Answer:
Centimeters? Or maybe it could be
Feet
Millimeter
a shopkeeper marked price a article a certain price above the cost price and he allowed 16% discount to make 5% profit if a customer paid 9492 with 13% vat to buy it by what percent is the mp above cp
Answers
Answer:
if I had known this
Step-by-step explanation:
then I won't be using this app right now..
Is the ratio 4:1 equivalent to the ratio 12:9
Answers
Answer:
No
Step-by-step explanation:
4:1
Multiply each side by 3
4*3 : 1*3
12: 3
This is not equal to 12:9
Answer:
no
Step-by-step explanation:
12 : 9
4 : 3 ≠ 4 : 1
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to
Answers
Answer:
The answer is "(4.518, 5.182)"
Step-by-step explanation:
[tex]\sigma = 0.74[/tex]
The aveage porosity for a sample of [tex]n = 19[/tex] specimens is
[tex]\bar{x}=4.85[/tex]
Thus, the[tex]95\%[/tex] confidence interval for the true mean is
[tex]=\bar{x}\pm Z_{\frac{0.05}{2}} \frac{\sigma}{\sqrt{n}}\\\\=4.85\pm 1.96 \frac{0.74}{\sqrt{19}}\\\\=4.85\pm 0.332\\\\=(4.518, 5.182)[/tex]
Therefore, one can state that the true average porosity will lie between 4.518 and 5.182 with the 95\% confidence.
An asset's book value is $43,200 on January 1, Year 6. The asset is being depreciated $600 per month using the straight-line
method. Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record:
Answers
Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record the asset's value as equal to $32,400.
The book value of the asset on January 1, Year 6 was $43,200.The asset is being depreciated at $600 per month using the straight-line method.The asset was sold on July 1, Year 7 for $29,400.The amount of time elapsed until the asset is sold is 18 months.The time elapsed can be considered as the "x-coordinate".The asset's value can be considered as the "y-coordinate".The rate of depreciation can be considered as the slope of the line.The equation formed from the given data is given below :(y-y1) = m(x-x1)y-43,200 = (-600)(18)y = 43,200-10,800y = 32,400To learn more about equations, visit :
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The perimeter of the isoceles triangle is 54. The ratio of the leg to the base is 7:4. Find the length of the base
Answers
9514 1404 393
Answer:
12 units
Step-by-step explanation:
The ratio of the base to the other sides is ...
4 : 7 : 7
The perimeter is a total of 4 +7 +7 = 18 ratio units, so each ratio units stands for 54/18 = 3 length units.
The base length is then ...
(4 ratio units)(3 length units/ratio unit) = 12 length units
twice the square of the number
Answers
Answer:
this is easy
Step-by-step explanation:
The number to find square X 2= ?
For eg. 12X2=24
Step-by-step explanation:
The answer of twice the square number
6×6=36
The waves of a tsunami are 25 ft high, 90 miles apart, and traveling at a rate of 540 miles per hour. How long does it take for the waves to complete one period
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Answer:
it will take 450 wave to complete
Please help me! I don’t understand!!!!!!
Answers
Answer:
[tex]{ \sf{thats \: it}}[/tex]
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
D. 72 heads in 100 flips
Step-by-step explanation:
A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...
A: 0.0625
B: 0.04395
C: 0.15498
D: 3.9×10^-6
__
It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.
Help asap please!!
Find the measure of y.
A. 43
B. 53
C. 90
D. 47
Answers
Answer:
[tex]y=43[/tex]
Step-by-step explanation:
[tex]y=2(90-46)/2[/tex]
[tex]y=43[/tex]
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