The value of f.ds = 20π.
What is Flux?The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.
Given:
f = <3xy²,3x²y,z³>
Using Divergence Theorem
P= 3xy²
Q= 3x²y
R = z³
So, dP/ dx= 3y²
dQ/ dy = 3x²
dQ/ dz = 3z²
So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]
= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)
= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)
Since the radius is 5.
= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)
= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV
= 15 (4/3)π
= 20π
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Complete the shape below so that AB is a line of symmetry
Which of the following statements is true?
The range is the set of all input values and is the independent variable.
The domain is the dependent variable and is determined by the range.
The independent variable varies as the dependent variable varies
The independent variable is the input value
Answer:
TRUE
TRUE
FALSE
FALSE
TRUE
Answer:
first one is true
Step-by-step explanation:
Find the value of x, y, and z.
-2x(-3x +2)- (x+2)2
giúp tôi với!
Answer:
-32 or 4x -8
Step-by-step explanation:
-2 ( -3x + 2 ) : 6x - 4
= 6x -4 - 2 ( x + 2 )
- 2 ( x + 2 ) : - 2x -4
=6x - 4 - 2x - 4
= 6x -2x - 4 - 4
= 6x - 2x - 8
= 4x - 8
= -32
( Im not really sure what is the answer )
( the "x" is alphabet, not "times" )
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.
Answer: D
Step-by-step explanation:
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
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A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers
Answer:
55.38 min
Step-by-step explanation:
A car travels,
182 km ⇒ 4 hours
And we have to find the time that it takes to travel 42 km .
Lets make a equation.
Let the unknown time be x
182 km ⇒ 4 hours
42 km ⇒ x
To make easy let's km in to meters and hours in to minutes
182000 m ⇒ 240 min
42000m ⇒ x
Now use cross multiplication.
[tex]182000x=240*42000\\[/tex]
[tex]182000x=10080000[/tex]
[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]
[tex]x =55.38min[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
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What is the perimeter of the inside of the track?
Answer:
Well add up the sides you can make the curving part into a full circle and calculate for the circumference.
So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.
Method:
C = 2πr
or
C = πr
I hope this gives you a hint.
Answer:
394.68 m
Step-by-step explanation:
The 2 ends are half circles, so together they make a circle.
The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.
The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.
Add all 3 parts 194.68 + 200 = 394.68 m.
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
please help 31 pts and brainlist if you give me a step by step explanation on how to do this
Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;
Angle ADE = CDF Hence proved.
Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90
To Find: TO prove <ADE = <CDF
Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.
=> <EDA = <FDC |Vertically opposite angles
<DEA = <CFD = 90 |Given
Also, ED = FD |Given
Hence, by ASA (Angle Side Angle)
Rule of congruency two triangles; <ADE = <CDF
Hence Proved.
Who’s smart ,but it’s math
Answer:
The answer is c
Step-by-step explanation:
If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.
Explanation:
( ) . . . . stuff that is given
∠ABE ≅∠DEG . . . . corresponding angles at a transversal
∠ABC +∠CBE = ∠ABE . . . . angle addition postulate
∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality
∠DEF +∠FEG = ∠DEG . . . . angle addition postulate
∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality
∠FEG = ∠ABE -∠ABC . . . . substitution property of equality
∠CBE = ∠FEG . . . . substitution property of equality
CB║EF . . . . converse of corresponding angles theorem
Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph
Answer:
bar and line
Step-by-step explanation:
22.68 ÷ 14.65 ayuden pliss
Answer:
1.54
Step-by-step explanation:
Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?
Answer:
5.2
Step-by-step explanation:
ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.
please help i need now
thank youu
Answer:
B
Step-by-step explanation:
if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4
If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?
pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION
[tex]\large\huge\green{\sf{Given:-}}[/tex]
length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm[tex]\large\huge\green{\sf{ToFind:-}}[/tex]
Area of triangle=??[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]
Area of rectangle= lxb[tex]\large\huge\green{\sf{Solution:-}}[/tex]
➡Area of rectangle= lxb
➡Area of rectangle= (2x - 4) x (3x) cm²
➡Area of rectangle= 6x²-12x
Simplify.
(5³)²
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
5⁶=15625...............
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3
Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?
Answer:
x-490=t
Step-by-step explanation:
Marlee has x money
She deposited $60 meaning adding $60 to the bank
So x+60
THen Marlee need to withdraw $550 from her bank to rent
So the equation is now
x+60-550
60-550 is -490
Thus:
x-490
(I will represent (t) as the money she has left for the equation)
Thus the equation is
x-490=t
Hope this helps!
10. Find the range of possible values for the variable.
The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
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Can someone help and explain please!
Answer:
19.56
Step-by-step explanation:
Discount 25% of $24.60 is :
(25/100) x 24.6 = 6.15
$24.60 - 6.15 = $18.45
Tax 4.5% of $24.60 is :
(4.5/100) x 24.6 = 1.107 approx. 1.11
Amount to be paid = $18.45 + $1.11 = $19.56
activist judges believe that federal judges should
Answer:
beyond the words of a constitution or statute to consider the broader societal implications of their decisions.
Step-by-step explanation:
giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS
5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????
Answer:
3307.31578947
Step-by-step explanation:
Answer:
I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
brainliest will be immensely appreciated uwu
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
Determine the range values for x
If y=8x and y=96 what does x equal
Answer:
X = 12
Step-by-step explanation:
8(12) = 96
Please help I don’t understand this
Answer:
d. √(1/(x+1))
Step-by-step explanation:
Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.
[tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]
At this point, you're supposed to know the factoring of the difference of squares:
[tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]
On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?
Answer:
51
Step-by-step explanation:
Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:
total students = (number of people in a bus) * (number of busses) + leftovers
Our equation we come up with is:
412 = s * 8 + 4
Solve
s*8=408
s=51
8. If the weights of males are normally distributed with mean = 170 and standard deviation = 20, what weight (to the nearest
pound) would correspond with the 40th percentile?
A) 68
B) 165
C) 175
D) 162
E) none of the above
Answer:
E. none of the above
Step-by-step explanation:
20 doesnt fit any of these answers