To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:
```
|
20 | *
| *
| *
| *
|*
0 --------------
0 10 20
```
Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.
To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.
To do this, we'll use the formula for the volume of a cylinder, which is:
V = πr^2h
where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:
- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.
So, the volume of each disk is:
dV = πr^2dx
= πx^2dx
To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:
V = ∫(from x=0 to x=20) dV
= ∫(from x=0 to x=20) πx^2dx
Evaluating this integral gives us:
V = π/3 * 20^3
= 8000π/3
So the exact volume of the paraboloid is 8000π/3.
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Just give me the answer
Answer:
y^6 is the simplest form
Answer:
y=6
Step-by-step explanation:
THATS KHANACADEMY RIGHT LOLLL
3/11 as a decimal equivalent
Answer:
The decimal form for this is 0.27 (With a line on top of it.)
Step-by-step explanation:
See this image:
A hexagonal prism has.............vertices.
Step-by-step explanation:
A hexagonal prism has 12 vertices.
Hope this answer will help you.
Have a great time
Pensé dos números. Sumados dan 38 y restados dan 2. ¿Qué números son?
Answer:
sorry I cannot help you sir can you translate it into English
help plz
−86 + (−14) − 23 − (+22) + 16 − (−34)=
Step-by-step explanation:
the answer is -86 mark as brainliest or rate this if u found this helpful :)
Answer:
-105
Step-by-step explanation:
-86-14= -100
-100-55= -155
16+34= 50
-155+50= -105
what does the ! after a number mean.
explain in your own words and give 5 examples.
Answer: it means that you multiply the number by the numbers counting to 0
Step-by-step explanation:4!=4•3•2•1
which one pls help me i’ll give extra points
Answer:
C
Step-by-step explanation:
Answer:
A. The doctors will give Charlie an operation
Step-by-step explanation:
PLEASE HELP ASAP ILL GIVE BRAINLY
Step-by-step explanation:
x= (70+83+90)/3= 81
85=(89+75+y)/3
255=89+75+y
y=91
92=(86+a+a)/3
276=86+2a
2a=190
a=95
93=(b+b+b)/3
279=3b
b=93
Which polynomial represents the difference below?
2x +7X+6
(3x? – X
A. - x + 6x + 6
B. 2x2 + 4x + 6
c. 2x2 + 5x + 6
D. - x2 + 3x + 6
Answer:
-x²-8x+6
Step-by-step explanation:
Given the polynomial expression
2x²+7x+ 6 and 3x² – X
Taking their difference
2x²+7x+ 6 - (3x² – X)
2x²-3x²+7x+x+6
-x²-8x+6
Hence the required difference is -x²-8x+6
Answer:
-x²+8x+6
Step-by-step explanation:
Ape-x
4w − 18 = 18 solve for w
Answer:
hello! :) have a good day!
W = 9
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
first come first served
Answer:
10. 32 mpg
12. 5 1/3 grams = 1 serving
14. 0.8 cent per can
16. 1/2 kg = 1 foot
18. 8 7/10 meters in 1 hour
Step-by-step explanation:
10. 256/8=32
12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1
14. 4.8/0.6=0.8
16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2
18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10
Find the length of AD if AB = 24, DE = 8, and DC = 12.
a.8
b.12
c.14
d.10
HELP PLS
Answer:
AD = 12
Step-by-step explanation:
Find the diagram attached
From the given diagram, it can be inferred that;
AB = AD+DB and AD = DB
AB = AD + AD
AB = 2AD
AD = AB/2
Given that AB = 24
AD = 24/2
AD = 12
Hence the length of AD is 12
Answer: 10
Step-by-step explanation:
I got it right after trying the answer of 12 on CAOLA
Which equations are correct?
Select each correct answer.
−4b3(5b2+3)=−20b6−12b3
−6y4(4y2+2)=−24y8−12y4
−5a4(2a2+4)=−10a6−20a4
−4x2(2x2+5)=−8x4−20x2
A baseball player earns $3 million in 2015. During the next 15 years, the earnings increase 4% each year.
a. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal.
An exponential growth model is y=
b. In which year will the player's earnings first exceed $5,000,000?
Answer:
[tex]y=3*1.04^{t}[/tex]
in 2029
Step-by-step explanation:
[tex]y=3*1.04^{t}[/tex]
[tex]when y=5\\t=\frac{ln(5/3)}{ln(1.04)} =13.02 ..[/tex]
have to round it up to 14 to exceed
What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?
Answer:
12x × 1x × 3x = 36x
)))))))))))))))))))
All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph of the function,
⇒ y = (5x + 7) (2x - 1) (x - 4)
Now,
Find x - intercept of the equation as;
Substitute y = 0, we get;
⇒ y = (5x + 7) (2x - 1) (x - 4)
⇒ (5x + 7) (2x - 1) (x - 4) = 0
This gives three conditions as;
⇒ 5x + 7 = 0
And, 2x - 1 = 0
And, x - 4 = 0
After solve we get;
⇒ 5x + 7 = 0
⇒ x = -7/5
And, 2x - 1 = 0
⇒ x = 1/2
And, x - 4 = 0
⇒ x = 4
Hence, All the x - intercept = -7/5 , 1/2 , 4.
Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
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Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510
Answer:
$30
Step-by-step explanation:
since they exchanged them we can assume they are worth the same
250=4250
First find how many pesos is worth 1 dollar
4250/250= 17
Then divide the amount the sweater costs by how much 1 dollar would be
510/17= 30
The sweater would cost 30 dollars.
help me please I need help
Answer:
D) 6 in x 4 in
Step-by-step explanation:
3" x 2" scaled up to 1:20 would be 60" x 40"
60" x 40" scaled back to 1:10 would be 6" x 4"
also the scale factor 1:20 is double the scale factor of 1:10
Can some one solve this
Answer:
J Monica is right
Step-by-step explanation:
Add three to both sides, divide by 4 you get x[tex]\geq[/tex]4
Answer:
J
Step-by-step explanation:
-4x < 28
does anyone know the solution and answer?
Answer:
x>−7
Explanation:
Let's solve your inequality step-by-step.
−4x<28
Step 1: Divide both sides by -4.
−4x/−4 < 28/−4
x>−7
Answer: x>−7
Help Please........
Answer:
4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(4 x 2)/2 + (4 x (6-2))/2 = 12
Plz help me !!!!!!!!!!
C i think????????????????????? :D
What pair of angles is congruent?
Answer:
angle f angle g and angle h are congruent as they are 90 degree
What is the value of the expression 1/2 divided by 6
Answer: the answer is to divide and you will come up with the answer 1/12
Step-by-step explanation:
Answer:
here is 1/2 divided displayed mathematically
1/2 ÷ 6
1= numerator
2= denominator
3= whole number
to make it fraction from the answer you keep the
numerator by the whole number to make a new
denomiter
___1___ = _1_
2×6 12
thus the answer to 1/2 divided by 6 on fraction form is
1/2 is the answer
Can somone help please? Thx
Answer:
I would say the answer is 0.69
Step-by-step explanation:Because if you multiply 7 times 0.69 it gives you 4.83
Answer:
The answer is 1.45
Step-by-step explanation:
Divide 7 and 4.83 and the answer is 1.447.
Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4
Answer:
44
Step-by-step explanation:
Answer:
X=-4Step-by-step explanation:
First, we must solve for the parenthesis so...
-2x-8=4x+16
Then we must simplify this even more so lets add the 8 to 16
-2x=4x+24
Then we must subtract 4x from -2x
-6x=24
we must now divide 24 by -6 so we can isolate the x
x=-4
I hope this helped :)
Help Me ASAP!
Assume the following in the picture: carbon = black oxygen = red hydrogen = blue Which formula represents the given molecule?
Answer:
Answer is a
Step-by-step explanation:
You count carbon is c so count the black circles there are 5 and do the same with the rest
Answer:
Step-by-step explanation:
a
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator?
Answer: (B) 6 floors
Step-by-step explanation: Use the equation -3 + 9 to get the amount of floors above ground level.
-3 + 9 = 6
6 floors.
If this helps may I please have a brainliest.
Answer:
you would get off at the 9th floor because in order to reach ground level again your would already go up 3 of the 12 floors. leaving 9 floors left to go up.
Step-by-step explanation:
-3+12=9
3c + 1 = c + 1
What does c equal
Answer: c=0
Step-by-step explanation: