Using the disk method, the volume would be
[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]
That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.
In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:
[tex]V= \frac{9\pi }{2}[/tex]
That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:
[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]
See more about volume at brainly.com/question/1578538
Item 3 Write an equation that describes the function. (0,0) (1,4) (2,8) (3,12)
Answer:
y = 4x
Hope that helps!
Step-by-step explanation:
I will give brainliest and 5 stars
Answer:
I think its C
Step-by-step explanation:
Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom have:
dimes
quarters
Answer:
thirty two quarters and three dimes
Systems of equation:substitution
The 2 problems in here i need done by 11:00pm est
8:00pm pst
Step-by-step explanation:
8)
describe y in terms of x
y=5+x
so now replace y with terms of x
5+x+3x=37
4x=32
x=8
y=13
9)
do the same here
x=y+1
2y+x=19
2y+y+1=19
3y=18
x=6
y=7
Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. Eliminate D) The area of rectangle B is three times the area of rectangle A
Answer:
I think it is 19 I not really sure
Step-by-step explanation:
o work it out of my paper and I got 19
Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.
Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Please help out and make sure to show your work please
Answer:
80 in
Step-by-step explanation:
To find the whole thing: 12 * 12 = 144
To find one square: 144/9 = 16
To find shaded areas: 16 * 5 = 80
Hope this helps =]
2. Evalute (3a +6b)³
Answer:
Here you go Hope it helps!!
Step-by-step explanation:
The price of a toy usually costing £50 is increased to £65
Workout the percentage increase.
Answer:
30 percent increase
Step-by-step explanation:
Someone help me please
Answer:
{11,60,62} could not represent the sides of a right triangle
what is the value of the digit 253,253,253 in the ten millions' place?
Answer:
50,000,000
Step-by-step explanation:
10,000,000 has 7 0's I just counted backward from the last three 6x and that gave me the answer of 3,000,000 sorry if it's wrong :c
Sharon made $45 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?
Answer: The interest rate was 9%.
Step-by-step explanation:
If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :
[tex]R=\dfrac{I\times100}{P\times t}[/tex]
As per given,
P = $ 500, I = $45, t = 1 year
Substitute values in formula , we get
[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]
Hence, The interest rate was 9%.
FFFFFRrrRRreeeeeeeee PPPPOOOOOIIIINNNNTTTTTSSSSSS
Answer:
OMG! Thank you mate..... :D
Which triangle is a translation of triangle X?
triangle A
triangle B
triangle C
triangle D
Answer:
triangle b
Step-by-step explanation:
triangle b has the same dimensions and corresponding angles. which means it is a rigid transformation which is what a translation is
Answer:
Triangle b
Step-by-step explanation:
A day at the spa costs $125. You leave a 20% tip. How much tip did you leave?
Answer: $25
Step-by-step explanation:
20% = 0.20
125 x 0.20 = 25
$125 + $25 = $150 (the entire bill)
Answer:
20%/100 × 125 = 25
$125+25=50
hope it helps
If the sidewall of a cubic structure have length 7m , then find the total surface area.
is this jhit right?
Answer:
Surface area of the cube = 294 m²
Step-by-step explanation:
Sidewall of a cube measures in length = 7 m
Formula for the surface area of a cube = Sum of the areas of all six sides of the cube
= 6 × (Side)²
= 6 × (7)²
= 6 × 49
= 294 m²
Therefore, surface area of the cube is 294 m².
The ratio of cakes to cookies in the bakery was 3:5. If there were 90 cakes, how many cookies were in the bakery?
plz help
Answer:
150 cookies
Step-by-step explanation:
Using the ratio as an equation we can divide 90 by 3 to find the common multiple used to simplify this equation into a more usable ratio.
3 : 5 90 : 5x (x is the common multiple)
90 / 3 = 30, so x is 30
Then we multiply both sides of the original ratio by the common multiple to get our answer.
3 : 5 is equal to 90 : 150
determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3
Given:
The center of the circle is at (0,0).
The circle passes through the point A(4,-3).
To find:
The radius and the equation of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points (0,0) and (4,-3).
[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]
[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
So, the radius of the circle is 5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is center of circle and r is the radius.
Putting h=0, k=0, r=5, we get
[tex](x-0)^2+(y-0)^2=5^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].
-4(8h-5)= -16 round to the nearnest hundreth
Answer:
h=9/8 or 1.125 but since yo said round it's 1.13
Step-by-step explanation:
1/4 + 3 = ??
What’s the answer??
Answer:
3.25
Step-by-step explanation:
divide then add 3
Answer:
3 1/4 or 13/4
Step-by-step explanation:
question is attached
okay here you goo
Answer:
are you in a rush or can i do it in like 5 mins
Help I will be marking brainliest!!!
A. 67.1
B. 45.2
C. 93.4
D. 63.0
Show work, if possible. Thanks❤️
Help needed immediately
Answer:
The answer would be B.
Step-by-step explanation:
Because both the triangles have different sides and they don't follow SAS or SSS criterion.
Hope it helped
Stay safe and help others
PLEASEEE HELP ASAP ITS IMPORTANT !!!!
Answer:
The rate of change in the table is 78 students per year
Step-by-step explanation:
Here, we want to get the rate of change of the function
Mathematically, we can get this by using the formula;
m = (y2-y1)/(x2-x1)
(x1,y1) and (x2,y2) are points we are to select from the table
Let us select the point (4,704) and (17,1718) from the table
The slope is thus;
m = (1718-704)/(17-4) = 78 students per year
what is a slope of a line between the x-axis and y-axis
Answer:
Mercedes, look at the graph i'm attaching... do you see ? what's the slope?
Step-by-step explanation:
A motor cyclist makes a trip of 500km. If he had increased his speed by 10kmh-1, he could have covered 600km in the same time. What was the original speed?
Answer:
the original speed is 50 km/h
Step-by-step explanation:
Let us assume the original speed be x
and fastest speed be (x+ 10)
Now here apply the time formula
i.e. distance by the speed
Original time = Fastest time
500 ÷ x = 600 ÷ x + 10
Now do cross multiplication
600x = 500(x + 10)
600x = 500x + 5000
100x = 5000
x = 50 km/h
Hence, the original speed is 50 km/h
7
Which fraction, decimal, or percent that is not equivalent to the others
Answer:
show png of what u talking about
Step-by-step explanation:
not enough info
if p q by the consecutive interior angles theorem which angles must be supplementary
Answer:
Angles 3 and 8 are consecutive interior angles
Step-by-step explanation:
Here, we want to use the consecutive interior angles theorem to find the supplementary angles
We start by looking at the transversal line
two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary
We have this two as;
Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles
please answer this, I really need help
Answer:
????? I am only in first grade
Step-by-step explanation:
???????
Todo numero es divisible por 3, si al sumar el total de sus digitos, se obtiene un numero mutiplo del tres (se puede expresar como tres por un numero entero )
Answer:
si, eso es correcto
Step-by-step explanation:
Espero que esto ayude a marcar el MÁS CEREBRAL !!!
PLEASE HELP
A circular hot tub has a diameter of 3 feet. What is the approximate
circumference of the hot tub?
9.42
15.70
18.84
25.12