Answer:
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
Step-by-step explanation:
The Cylindrical coordinates are:
x = rcosθ, y = rsinθ and z = z
From the question, on the xy-plane;
[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]
[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]
where:
0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π
∴
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
solve integer
25+(-13)
Answer:
i think thats 12
Step-by-step explanation:
What is the greatest common factor of 80 and 16?
Answer:
16
Step-by-step explanation:
did the calculation
Answer:
Therefore the highest common factor of 80 and 16 = 8
What is the value of the 3 in 513
Answer:
3
Step-by-step explanation:
513 = 500 + 10 + 3
The 5 is worth 500.
The 1 is worth 10.
And the 3 is worth 3 !
Answer:
The value of 3 in 513 is the ones place.
Step-by-step explanation:
Зr + 4 = 12 = Зr
What is the answer
Answer:
r = 8
Step-by-step explanation:
Solve for r:
r + 4 = 12
Subtract 4 from both sides:
r + (4 - 4) = 12 - 4
4 - 4 = 0:
r = 12 - 4
12 - 4 = 8:
Answer: r = 8
The frequency (f) of the note produced by striking a pipe of length (L) and radius (r) is given by f = 2r + c over 2L where c is the speed of sound, which is mately 13,500 in./sec. The following table shows some frequencies and related pipe lengths for PVC pipe with a radius of 1 in. What length pipe should be used in order to create the lowest note on an 88-key piano (an A), which has a frequency of 27.5 hertz?
Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.
what is the value of x? enter your answer in the box.
Answer:
84
Step-by-step explanation:
The interior sum of a pentagon is 540 degrees. If you add up all the given angles together, then it will add up to be 456. subtract 456 from 540, and you'll get your answer, which is 84.
On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5
Answer:
On the number line integers from 16 to 24 is the answer.
Answer:
Step-by-step explanation:
ASAP FASTER THAN THAT ITS DUE IN LIKE 30 OR LESS MINuTES
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.
Select ALL of the measurement pairs that could be the dimensions of Rectangle B.
A. 4.5 inches by 1.5 inches
Could or could not(thats the question for all of them)
B. 8 inches by 2 inches
could or could not
C. 10 inches by 4 inches
could or could not
D. 13.5 inches by 4.5 inches
could or could not
E. 90 inches by 30 inches
could or could not
Answer:
a,d,e could
Step-by-step explanation:
a-is 1/2 of rec a so yes
b-no
c-no
d-could it 1.5 of rec a
e-could it 10 times rec a
PLZZZ HELP WILL GIVE BRAINLIST
Answer:
2. C-40 3. A-1/85
Step-by-step explanation:
hope it helps
Find the equation of the line with slope 3/5 and y-intercept (0,4)
Answer:
10,5
Step-by-step explanation:
Answer:
y=3/5x+4
Step-by-step explanation:
slope intercept form is y=mx+b
m=3/5
b=4
What is the expanded form of 648,870,030,096.994
Write the equation represents the situation?
“Bill has 16 missing math assignments. If he
completes 2 in class and 3 each day how
long will it take him to make up his missing
work?”
Answer: X= days. Equation: 16-2-3X=X
Step-by-step explanation:
there is none, it’s pretty straight forward.
But if you want to solve for how many days then it’s, 3 1/2 days
Is -(5/12) equal to 5/-12
Answer:
Yes it is.
Step-by-step explanation:
-(5/12) = -*5/12 = -5/12
5/-12 = -5/12
Best of Luck!
F=kr Solve for k I'm lost please help
Answer:
F /r = k
Step-by-step explanation:
F=kr
Divide each side by r
F/r=kr/r
F /r = k
Simplify the following expression.
(38x+61y)-(3x-11y)
the answer is 35x+72y for plato im only putting this question up to help people with the same problem i had, ill give brainliest out to the first person who works this out and gives a intelligent response.
Answer:
35x+72y
Step-by-step explanation:
well you are subtracting the terms 3x and -11y from the terms 38x and 61y. so to start you multiply 3x and -11 by negative one to get rid of the parentheses. you then you combine like terms.
The largest perfect square factor of 252 is _____
Answer:
18
Step-by-step explanation:
252 is a composite number. The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.
help um. Order the set of numbers from least to greatest
5/2 , √5 , 2¾ , 2.71 (bar)
am not really sure but i guess that is what I know.
Answer:
[tex]2\frac{3}{4}, 2.71, \sqrt{5}, \frac{5}{2}[/tex]
Step-by-step explanation:
Just convert them all to a decimal, I'm too lazy to write it all out...
Which quadrant is (-13, -12) located?
Answer:
Third quadrant
Step-by-step explanation:
Answer:
Quadrant III
Step-by-step explanation:
(-13, -12) is located in quadrant III because both the x values and y values are negative in the ordered pair, therefore they will be graphed on the part of the coordinate plane where the x and y values are also both negative simultaneously.
I included a photo so it is easier to visualize.
I NEED AN ANSWER NOW ASAP
Answer:
Apparently i cant see the photo im am so sorry but do need pints.
Step-by-step explanation:
Answer:
option b & option c & option d
Step-by-step explanation:
option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.
option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.
option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.
option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.
p(q ÷ 3 - p ); use p = -6, and q= -3
Answer:
Step-by-step explanation:
p(q ÷ 3 - p )
p = -6
q= -3
-6(-3/3 - (-6))
-6(-1 + 6)
-6(+5)
-30
please help me answer this question
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
In order for two triangles to be congruent, they must have the exact same side lengths and angle measures. In this case, you know that the angles of the triangles are equal, but you are not given side lengths. In math, you can never assume that the lengths are equal just because they look like it. Therefore, the answer is B. False because you do not know a single side length. In the future, review the rules of congruent triangles: SAS, ASA, SSS, AAS, HL where S = side, A = angle, H = hypotenuse, L = leg.
help plz I GIVE OUT BRAINIEST!
He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...
100 meters = 9.63 seconds
10.384 meters = 1 second (divide both sides by 9.63)
37382.4 meters = 3600 seconds (multiply both sides by 3600)
37382.4 meters = 1 hour
His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr
Answer: his speed is less than the speed limit 25 mph40 fewer than a number t
0 40-t
Ot+40
O -400
O t-40
Answer:
The answer is the last one - t-40
3x + 2(4x - 4) = 3
What’s the answer?
which value is a solution to the inequality 9-y>12?
Hey there!
[tex]Answer:\boxed{y<-3}[/tex]
[tex]Explanation:[/tex]
[tex]9-y>12[/tex] Inequality
Let's start by simplifying both sides of the inequality.
[tex]-y+9>12[/tex]
Now subtract 9 from both sides.
[tex]-y+9-9>12-9\\-y>3[/tex]
Now divide both sides by -1.
[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]
[tex]y<-3[/tex]
Hope this helps!
If f(x) = 2x + 4 and 9 (20) = x - 3, find f (g(x)).
Answer: D
Step-by-step explanation:
To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.
f(g(x))=2(x-3)+4 [distribute]
f(g(x))=2x-6+4 [combine like terms]
f(g(x))=2x-2
Now, we know that f(g(x))=2x-2.
Need help on this question
Answer:
angle 4
Step-by-step explanation:
If m<2 =47°, then what is m<6? How do you know?
In a paint store you’re mixing paint for a larger order. Paint requires mixture of 75% base 25% color. How many gallons of base should you mix for 4 gallons of color ?
Catherine wants to pass year for Ms. Ford's class and all she has left is to take the final Spring Final. If she earned a 60 on Semester 1, a 62 on RC3 and a 53 on RC4 what is the minimum score she would need to earn on the final to pass for the year? RC3 and RC4 are averaged together for 90% of the semester 2 grade. The Spring final is 10% of the semester 2 grade. The final grade is the average of the Semester 1 and Semester 2 grade. A 70% is passing.
Step-by-step explanation:
The final grade is the average of the two semesters.
70 = ½ (60 + x)
x = 80
So Catherine needs a Semester 2 grade of 80%.
The average of RC3 and RC4 is ½ (62 + 53) = 57.5. This accounts for 90% of the Semester 2 grade. The other 10% is the Spring final.
80 = 0.90 (57.5) + 0.10 (x)
x = 282.5
Catherine would have to score 282.5% on the Spring final in order to pass.