Answer:
(a) T= 0.34r^3
(b) T= 73.44
Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element ds and infinitesimal area element dA are:
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.
The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.
The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.
Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.
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The question attached here seems to be incomplete, the complete question is:
Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are: A. always in the same direction B. always in opposite directions C. always perpendicular to each other D. never perpendicular to each other E. none of the above
2. A clothing company buys 458 of a
new style of blouse. Each blouse costs
the company $24. What was the total
spent on the blouses?
Answer:
6,192
Step-by-step explanation:
PLEASE HELP ASAP. 100 POINTS. write the expression as a power: 16*32
Answer:
10^24
Step-by-step explanation:
Kite ABCD is drawn with diagonals. To find the area of ABCD, Alex imagined the kite divided into two triangles. What is the area of ABCD?
The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.
How to find the area of ABCD?Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.
Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.
The area of a triangle can be found using the formula: Area = (base x height) / 2
For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.
Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.
Therefore, the heights of the two triangles are equal.
So, we can find the area of ABCD as follows:
Area of ABCD = Area of triangle ABE + Area of triangle CDE
= (AB x height)/2 + (CD x height)/2
= (AB + CD) x height / 2
Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.
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please what is -2 1/3-(-5)= my home work is due in 2 days
Step-by-step explanation:
To solve -2 1/3 - (-5), we can simplify the expression using the following steps:
- We can rewrite -2 1/3 as a fraction, which is -7/3.
- We can rewrite -(-5) as +5.
- We can then combine the two terms by subtracting -7/3 from 5, which gives:
5 - 7/3
- To subtract the fraction, we need to find a common denominator. A common denominator for 3 and 1 is 3. So, we can rewrite 5 as a fraction with a denominator of 3, which gives:
5 = 15/3
- Then, we can subtract 7/3 from 15/3, which gives:
15/3 - 7/3 = 8/3
Therefore, -2 1/3 - (-5) simplifies to 8/3, or 2 2/3.
Stacey worked on her garden for 4 3/4 hours.
Answer:
Number one and number 3 i think
Step-by-step explanation:
Is the trapezoidal rule an overestimate or underestimate?
The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.
What is trapezoidal rule?The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.
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Find the coordinates of the circumcenter, orthocenter, and centroid of the triangle with vertices A(0,-2), B(4,-2), and C (0,6)
Answer:
Circumcenter - (1.5, -0.5)
Orthocenter - (0, -2)
Centroid - (1.3, 0.7)
hope this helps :)
Sodas cost $1.50 and a cup of coffee costs $1.25 at a football game. Sally
bought 8 drinks total for all of her friends and her total cost was $11.50. How
many of each drink did she buy?
Answer:
the answer 4
Step-by-step explanation:
4 of each because (1.25x4) + (1.50x4) = 11.50
Answer:
Sally bought 6 sodas and 2 cups of coffee.
Step-by-step explanation:
Variable x = number of sodas
Variable y = number of coffees
$1.50x + $1.25y = $11.50
x + y = 8 drinks
$1.50(6) + $1.25(2) = $11.50
$9.00 + $2.50 = $11.50
I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.
For example:
$1.50(5) + $1.25(3) = $11.50
$7.50 + $3.75 = $11.50
$11.25 = $11.50
This is not correct as they do not equal so this cannot be the answer.
Steven owns a restaurant that specializes in steakburgers 4 burgers and 3 fries cost $24.50. if a burger costs $5, how much is each order
Answer:
As we know each burger costs $5
There are 4 burgers
When you do 4×5 you will get 20
Now subtract that 20 from the total cost
24.50-20=4.5
$4.5 is how much it costs for 3 fries
If you're wanting to calculate the number for one thing of fries then divide that 4.5 by 3
4.5/3=1.5
For one thing of fries it will cost $1.5
I hope this helps :)
Which pair of angles does NOT represent corresponding angles?
2 points
1
2
4
3
k
5
6
8
7
O 7 and 2
8 and 4
ОО Ο Ο
3 and 7
1 and 5
Step-by-step explanation:
مرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجواب
CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
write a formula which describes all fractions which kiss 7/11
Number Theory
8The formula for all fractions that kiss 7/11 is: x/y = 88/121 or x/y = 102/121
In number theory, two fractions are said to "kiss" if their difference is equal to 1 over the product of their denominators.
In this case, we are looking for all fractions that kiss the fraction 7/11.
Let x/y be a fraction that kisses 7/11. Then we have:
| x/y - 7/11 | = 1 / (11y)
Multiplying both sides by 11y, we get:
| 11x - 7y | = y / 11
There are two cases to consider:
Case 1: 11x - 7y = y / 11
Simplifying this equation, we get:
121x = 88y
Therefore, x/y = 88/121 is the only fraction that kisses 7/11 in this case.
Case 2: 11x - 7y = -y / 11
Simplifying this equation, we get:
121x = 102y
Therefore, x/y = 102/121 is the only fraction that kisses 7/11 in this case.
Note that these are the only two fractions that satisfy the kissing condition, and they are both irreducible.
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7x+y=-9 -3x-y=5 solve by elimination
Which type of triangle can be constructed with a 50° angle between two 8-inch sides? A. Equilateral B. Isosceles C. Scalene D. Obtuse.
The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.
This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.
This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.
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can any one help in these questions
Answer:
1) x = 10
m<LOH = 55
m<GOH = 85
m< KOG = 40
2) x = 3
m<CQR = 22
m<BQC = 53
m< AQB = 33
m< PQA = 72
3) x = 45
m<TYZ = 41
m<XYT = 49
m< SYX = 90
m< XYZ = 90
4) x = 7
m < KJL = 30
m< NJK = 50
m< MJL = 56
Step-by-step explanation:
1)
Straight line = 180°
So
4x + 15 + 9x - 15 + 4x = 180
17x + 10 = 180
x = (180-10)/17
x = 10
m<LOH = 40
m<GOH = 85
m< KOG = 55
2)
Straight line = 180°
So
7x + 1 + 56 - x + x + 30 + 24x = 180
31x + 87 = 180
x = (180 - 87) / 31
x = 3
m<CQR = 72
m<BQC = 33
m< AQB = 53
m< PQA = 22
3)
Straight line = 180°
So
2x + x + 4 + x - 4 = 180
4x = 180
x = 45
m<TYZ = 41
m<XYT = 49
m< SYX = 90
m< XYZ = 90
4)
Straight line = 180°
So
2(3x + 4) + 11x - 3 + 8x = 180
6x + 8 + 19x -3 = 180
25x + 5 = 180
x = (180 -5) / 25
x = 7
m < KJL = 30
m< NJK = 50
m< MJL = 56
I hope my answer helps you.
Divide 8848 by 16(Show working)
Answer:
553
Step-by-step explanation:
5 5 3
---------------------
16 / 8 8 4 8
8 0
---------------
8 4
8 0
----------------
4 8
4 8
-----------
0
The quotient is 553.
4 8
----------
0
solve the inequality 14≥3x+2
Answer:
4 ≥ x
Step-by-step explanation:
14 ≥ 3x + 2
14 - 2 ≥ 3x
12 ≥ 3x
4 ≥ x
Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.
What is inequality?In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Given:
14 ≥ 3x+2
Switch sides
3x+2 ≥ 14
Subtract 2 from both sides of the equation, we get
3x + 2 - 2 ≥ 14 - 2
Simplifying the above equation
3x ≥ 12
Divide both sides by 3, we get
3x/3 ≥ 12/3
x ≥ 4
Therefore, the value of x ≥ 4.
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Which is a counterexample of the following conditional statement: "If a number is divisible by 5, then it is an even number." 18 20 33 35
33 is the counterexample of the conditional statement "If a number is divisible by 5, then it is an even number."
A counterexample is an example that disproves a conditional statement. In this case, we are looking for a number that is divisible by 5 but is not an even number.
Out of the given options, the number 33 is a counterexample to the statement. Let's examine why:
The statement claims that if a number is divisible by 5, then it is an even number.
However, 33 is divisible by 5 (33 ÷ 5 = 6 remainder 3), but it is not an even number.
In fact, 33 is an odd number.
This counterexample disproves the original statement because it shows that there exists a number (33) that is divisible by 5 but is not an even number.
Therefore, 33 is the counterexample of the conditional statement "If a number is divisible by 5, then it is an even number."
Note: The other options (18, 20, and 35) do not serve as counterexamples because 18 and 20 are both divisible by 5 and are even numbers, and 35 is not divisible by 5.
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Suppose MCAT scores are distributed normally with a mean of 113 and a variance of 144. Calculate the standard error of the mean for a random sample of 27 participants. Group of answer choices 1.00 21.75 5.33 0.44 2.31
If MCAT scores are distributed normally with mean (μ) = 113 and variance (σ²) = 144 and a random sample of 27 participants is taken, then the standard error of the mean is 2.31. The correct answer is option 5.
To find the standard error of the mean, follow these steps:
According to the central limit theorem, if the sample size is greater than or equal to 30, then the distribution of sample means is approximately normal, regardless of the shape of the population distribution. When the sample size is less than 30, we can still use the normal distribution as long as the population is also normally distributed. In this case, the population is normally distributed. Using the formula for the standard error of the mean for the sample, we get the standard error of the mean = σ/√n, where σ = population standard deviation= √(variance)= √144= 12, n = sample size= 27.Hence, the standard error of the mean = σ/√n= 12/√27≈ 2.31Hence, option 5) 2.31 is the correct answer.
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(Q3) Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle if the length of a leg is 7 in. Round to the nearest inch.
The length of the hypotenuse of the right triangle with a leg length of 7 in is approximately 10 in.
Applying the 45º-45º-90º Triangle Theorem, the length of the hypotenuse of a right triangle can be found by multiplying the length of a leg by the square root of 2. In this case, with a leg length of 7 in, the length of the hypotenuse can be determined.
The 45º-45º-90º Triangle Theorem states that in a right triangle with two equal legs, the length of the hypotenuse is equal to the length of a leg multiplied by the square root of 2.
In this case, the length of one leg is given as 7 in. To find the length of the hypotenuse, we can multiply the length of the leg by the square root of 2:
Hypotenuse = Leg * sqrt(2)
Substituting the given value, we have:
Hypotenuse = 7 in * sqrt(2)
Using a calculator, the approximate value of the square root of 2 is 1.414. Therefore, we can calculate:
Hypotenuse = 7 in * 1.414 ≈ 9.898 in
Rounding to the nearest inch, the length of the hypotenuse is approximately 10 in.
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Write 3c- 11c^4 - 6 + 5c^2 in standard form. Write degree of the polynomial.
Answer:
−11c4+5c2+3c−6 degree is 4
Step-by-step explanation:
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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Sometimes life is tricky.
Sometimes things go wrong.
Sometimes you feel out of place
Or like you don't belong.
Sometimes bed things happen.
Sometimes you'll feel scared.
But focus on the positives;
Seek them, they'll be there.
When your brain won't stop whirring,
And you can't sleep at night,
Step out of the darkness
And look into the light.
The awful things won't vanish
Like thin air
But don't let them consume
That just makes you miserable
And intensifies the gloom.
So focus on your blessings
And let them shine through.
Don't let the negatives
Be what defines you :)
An amazing thing happens when you get honest with yourself and start doing what you love, what makes you happy. You stop merely looking forward to special events. You begin to live in each moment and you start feeling like a human being. You just ride the wave that is life, with this feeling of contentment and joy. You move fluidly, steadily, calm and grateful.
Hope this helps :)
Have a great day.
thanks for the message !!
Answer: ^-^ This is nice thanks. But here's something for you! -Lily ^-^
Step-by-step explanation:
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──(♥)██████(♥)(♥)██████(♥) ɪ'ʟʟ ɓє ƴσυʀ ѕɧα∂σѡ.
─(♥)████████(♥)████████(♥) ɪƒ ƴσυ ѡαηт тσ cʀƴ,
─(♥)██████████████████(♥) ɪ'ʟʟ ɓє ƴσυʀ ѕɧσυʟ∂єʀ.
──(♥)████████████████(♥) ɪƒ ƴσυ ѡαηт α ɧυɢ,
────(♥)████████████(♥) __ ɪ'ʟʟ ɓє ƴσυʀ ρɪʟʟσѡ.
──────(♥)████████(♥) ɪƒ ƴσυ ηєє∂ тσ ɓє ɧαρρƴ,
────────(♥)████(♥) __ ɪ'ʟʟ ɓє ƴσυʀ ѕɱɪʟє.
─────────(♥)██(♥) ɓυт αηƴтɪɱє ƴσυ ηєє∂ α ƒʀɪєη∂,
───────────(♥) __ ɪ'ʟʟ ʝυѕт ɓє ɱє.
Which of the following best describes a single line that is the same distance from the parabola as the focus is from the parabola?
O A Axis
O B. Locus
O C. Vertex
O D. Directrix
Answer:
if im not mistaken its..A
Step-by-step explanation:
Single line that is the same distance from the parabola as the focus is from the parabola is Axis.
What is parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
As, A locus is a set of points satisfying a given condition.
and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.
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in an examination, the following was found 40% passed in mathematics 45% passed in science 55% passed in health. how many candidates passed in all three subjects?
5% of the students either passed all 3, or none of the tests.
What is amount ?
Mass nouns are referred to by the word amount. Count nouns are referred to as numbers.
To illustrate the process of thinking, tets assume there are no people who passed all subjects.
40% (Maths) - 10%(+sceince) - 15% (+english) = 15% only maths
45% - 10% - 20% = 15% only science
55% - 20% - 15% = 20% only english.
That gives
15+15+20 = 50% of the students passing only one course
10+20+15 = 45% of students passing only 2 courses
… that’s 95% together …
… but we need to get to 100%; obviously.
If we assume there are X% students that passed in all 3 courses, then from the first line, we substracted this person twice: (once for +science, and once for +english). Considering we only need to substract ’m once, that’s the same as substracting twice and adding once. we get:
40% (Maths) - 10%(+sceince) - 15% (+english) + X% = 15+X % only maths
and likewise
45% - 10% - 20% + X= 15 +X % only science
55% - 20% - 15% +x X= 20 +X % only english.
Now, for the students who passed exactly 2 classes, that’s
10 - X % only maths and science
20 - X %
15 - X%
And of course, the amount of students who passed all three exams: X.
This gives us
(15+X) + (15+X) + (20+X) + (10-X) + (20 - X) + (15 - X) + X = 100
95 + X = 100
X = 5
Or, 5% of students passed all 3 tests.
edit: this answer assumes all students pass at least one test. The actual summation should be: As pointed out with the first line, if that answer is
0%, the amount of students mentioned is 95%.
The actual answer is
5% of the students either passed all 3, or none of the tests.
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7x/3 < 2
Pls answer asp please and thank you
Answer:
x<6/7
Step-by-step explanation:
7x/3 < 2
7x < 6
x < 6/7
If you need to ask any questions, please let me know.
what is the answer is and i in this to be
Answer:
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░░░█▀▄▄▄█░▀▀░░
░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
▄░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
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Step-by-step explanation:
Solve the equations PLEASEE
-1=3x-2
-3x=9
-10=-5x
Answers are in bold:
-1=3x-2
add 2 to both sides
-1+2=3x-2+2
1=3x
divide both sides by 3
1÷3=3x÷3
1/3=x
-3x=9
divide both sides by -3
-3x÷-3=9÷-3
x=-3
-10=-5x
divide both sides by -5
-10÷-5=-5x÷-5
2=x
I hope this is good enough:
In the prime factorization of 109!, what is the exponent of 3?
The exponent of 3 in the prime factorization of 109! is 76.
To find the exponent of 3 in the prime factorization of 109!, we need to first determine how many factors of 3 there are in the prime factorization of each number from 1 to 109. We can do this by dividing each number by 3 and adding up the quotient (ignoring any remainder) until the quotient becomes less than 3. For example, for the number 27, we divide 27 by 3 to get 9, then divide 9 by 3 to get 3, then divide 3 by 3 to get 1. So the exponent of 3 in the prime factorization of 27 is 3.
Doing this for all the numbers from 1 to 109, we get:
- There are 36 numbers that have at least one factor of 3.
- There are 12 numbers that have at least two factors of 3.
- There are 4 numbers that have at least three factors of 3.
- There is 1 number (81) that has at least four factors of 3.
To find the exponent of 3 in the prime factorization of 109!, we need to add up the number of factors of 3 in each of these numbers:
- The 36 numbers with at least one factor of 3 contribute a total of 36 factors of 3.
- The 12 numbers with at least two factors of 3 contribute a total of 24 factors of 3 (since each one has 2 factors of 3).
- The 4 numbers with at least three factors of 3 contribute a total of 12 factors of 3 (since each one has 3 factors of 3).
- The 1 number with at least four factors of 3 contributes 4 factors of 3.
So the total number of factors of 3 in the prime factorization of 109! is 36 + 24 + 12 + 4 = 76. Therefore, the exponent of 3 in the prime factorization of 109! is 76.
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