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
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
heyy could you help me out with this question I have been stuck in this question??
One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!
Answer:
1.6
Step-by-step explanation:
Given :
X/4 = 2/5
To solve for X ;
We can use cross multiplication ; multiply opposite values :
X * 5 = 2 * 4
5X = 8
To isolate X ;
Divide both sides by 5
5X/5 = 8/5
X = 8/5
X = 1.6
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
x = (y/2) - 1
Please help me find the answer.
Answer:
Step-by-step explanation:
Well you didn't give directions on what to solve for,
I'm gonna assume you want to solve for y
x = (y/2) - 1 (add 1 to both sides)
x + 1 = y/2 (multiply both sides by 2)
2(x + 1) = y (distribute the 2)
y = 2x + 2
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:
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
What is the straight-line distance between (-2, -7) and (-4, -9) on a coordinate graph?
Answer:
yeah, the selected is correct
Step-by-step explanation:
distance is...
2 and 2 square root
What is the solution to the system graphed below? How do you know?
Answer:
(1,7)
Step-by-step explanation:
It is where the line intersects. coordinates x axis 1, coordinates y axis 7.
President Jackson favored state banks over the Second Bank of the United States because he
believed
A.
the Constitution called for a series of state banks.
B.
state banks should issue a uniform national currency.
C.
the Bank could not control the nation's loans.
D.
the Bank had too much power over the nation's economy.
Simplify each expression. Show all work from credit.
Plz help me
Answer:
1. = 1 because any numbers to the power 0 is one
2. = 1/64
3.= b^15 base same power added up
Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?
Answer:
y = 10x+5
Step-by-step explanation:
The price of each T-shirt = $10
Design fee on each T-shirt = $5
We need to find the expression for the total cost. Let the total cost be y. So,
Let he has ordered x T-shirts. So,
y = 10x+5
Hence, this is the required solution.
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answer:
b) 50
Step-by-step explanation:
750/15 = 50
250 is 1.5cm. How thick is 400 pages
Answer: 2.4 cm
Step-by-step explanation:
1.5 divided by 250 gives that each page is .006cm. 400 times .006 is 2.4cm
2. In Ella's math class, there are 12 girls and 15 boys. Which of the following is the ratio of boys to girls in Ella's math class?
A 12/27
B 12/15
C15/12
D27/12
Answer:
C. 15/12
Step-by-step explanation:
15 boys and 12 girls
Answer:
b
Step-by-step explanation:
12/15
In a survey, some children were asked to choose whether they like to stay up late or get up early.
35% of the students said they prefer to get up early. 28 students prefer getting up early. How many students in total were surveyed?
students
Answer:
80 Students
Step-by-step explanation:
So I set up my problem like this(This is a way to figure a certain amount of a percent or vice versa):
35 28
____ = _____
100 x
First, you do 100 x 28= 2800
Second, do 2800 divided by 35= 80
The number in students surveyed is 80.
for part of a recipe jada adds 0.35 milliliters of vanilla extract to 16.4 milliliters of milk. How many milliliters does the mixture contain??
33°
114"
33
A) right scalene
B) acute scalene
C) obtuse isosceles
D) equilateral
Answer:
b acute I think so ok but that was a weird quistoin
what is the ratios to 25:90
Answer:
5/18Step-by-step explanation:
25 / 90 =5*5 / 5*18 =5/18To prepare for a party, Jada poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into the cups.
Answer: 20 cups
Step-by-step explanation:
Question would like to know the number of cups that Jada poured juice into.
If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:
= Total juice poured / Quantity per cup
= 9 litres/ 0.45 litres per cup
= 20 cups
Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)
Help p-p
Answer:
Step-by-step explanation:
this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :) keep trying
this is called "Distribution" and is used often
3(-5[tex]y^{2}[/tex] -3)
-15[tex]y^{2}[/tex] +9
if you need more explanation just put your questions at the comments of this problem ... i'll see them :)
Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?
Answer:
x=4
Step-by-step explanation:
on edge
The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We are given the function as;
log₇(3x²+x)-log₇x=2
Domian: 3x²+x>0
x(3x+1)>0
x∈(-∞,-1/3)U(0,∞)
Hence, x∈(0,∞), Thus x∈(0,∞)
In this problem we use the following formula:
[tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
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PLZ HELPPPP ILL GIVE BRAINLIEST
Answer:
(A).
Step-by-step explanation:
yo my boy look at the problem first because that was so easy
Tonya drives for 5 hours at 55 mph. How far does she go?
HELP WILL MARK BARINLIEST IF RIGHT!!!
Step-by-step explanation:
Hence the value of x is 70.14cm.
Which equation is the inverse of y =2x^2 - 8?
A. y = + √x+8/2
B. y = +√x+8/2
C. y = + √ x/2 + 8
D. y = +√x/2 +4
Answer:
a
Step-by-step explanation:
helllllllllllllllllllppppppppp!!!!!!!!!!!!!!!!!!!!!!!!
pleeeeeeeeeeeease
Answer:
1:5 is the ratio so 1 cow for every 5 sheep, 2 cows for 10 sheep and 3 cows for 15 sheep.
Step-by-step explanation:
please help first image pleaseeeeee............................................
Answer:
1:2
Step-by-step explanation:
Cecilia is saving money to buy a bicycle. She started with $75 and saves $10 each week from her allowance. Which equation represents how much money, y, Cecilia has at the end of x weeks? O A. y = 75x + 10 o B. y = 10x + 75 O C. x = 75y + 10 O D. X = 10y + 75
Answer:
y = 10x + 75 If not then
X = 10y + 75
Tywaun wants to know how much candy his container can hold. The
container is 20 centimetres tall, 10 centimetres long and 10 centimetres
wide. What is the container's volume?
Answer:
100 pieces maybe?
Step-by-step explanation: