O. FIND THE ERROR A student writes and
solves a proportion as shown. Find the
student's mistake and correct it.
5 lawns mowed
6.25 hours
=
x hours
12 lawns mowed; 9.6 hours
Answer: x=4 hours
Step-by-step explanation:
5 lawns mowed - x hours
12 lawns mowed - 9.6 hours
Hence,
\(\displaystyle\\x=\frac{5*9.6}{12} \\\\x=\frac{48}{12}\\\\x=4\ hours\)
Answer:
The answer is 15.
Step-by-step explanation:
So the problem with this equation, note that the question does not state this which does make it confusing, is that the x is in the wrong place.
So instead of 5/6.25 = x/12
It's actually 5/6.25 = 12/x, entirely changing the problem.
When we cross multiply we'll end up having an equation like this:
5x = 6.25 x 12
6.25 x 12 = 75
75/5 = 15
Therefore our answer is 15.
(sorry for the bad explanation I'm only in 7th).
A fair spinner is in the shape of a regular hexagon.
(a) write a number on each section so that the probability of getting an odd number is 1/3 . (b) what is the probability of not getting an odd number?
The numbers in each section are 1, 2, 3, 4, 5, 6, and 8 so the probability of getting an odd number is 1/3, and the probability of not getting an odd number is 2/3.
What is the Probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
We have,
A fair spinner is in the shape of a regular hexagon.
(a) From the attached figure the numbers: 1, 2, 3, 4, 5, 6, and 8.
Probability = 2/6 = 1/3
(b) probability of not getting an odd number:
Probability = 4/6 = 2/3
Therefore, the number in each section are 1, 2, 3, 4, 5, 6, and 8 so the probability of getting an odd number is 1/3, and the probability of not getting an odd number is 2/3.
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first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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I need some help here guys. I don't know what to do and I need this to be done until 11:59.. :(
Answer: The graph is shown below. It is nonlinear
==========================================================
Explanation:
I used GeoGebra to make the graph. Desmos is another option I recommend.
The equation we graph is y = (1/2)^x since we're splitting the paper in half each time. This is an exponential decay function. Note how the curve slopes downhill when moving to the right.
It appears the curve touches or crosses the x axis; which is misleading. Instead, the curve is getting closer and closer to this horizontal asymptote. It will never reach the x axis. Think of it like an electric fence.
As the graph indicates, we don't have a straight line. Therefore, the function isn't linear. It's a nonlinear curve.
Find the absolute maximum and absolute minimum values of f on the given interval. (Round all answers to two decimal places.)
f(t) = t + cot(t/2)
[pi/4, (7 pi)/4]
The absolute maximum value is approximately 5.71, and the absolute minimum value is approximately 1.57 for the function f(t) = t + cot(t/2) on the interval [π/4, (7π)/4].
To find the absolute maximum and absolute minimum values of the function f(t) = t + cot(t/2) on the interval [π/4, (7π)/4], we can follow these steps:
Find the critical points of the function by taking the derivative of f(t) and setting it equal to zero.
Evaluate the function at the critical points and the endpoints of the interval.
Compare the values obtained to determine the absolute maximum and absolute minimum.
Let's start by finding the critical points:
Step 1:
Taking the derivative of f(t) with respect to t:
f'(t) = 1 - (1/2)\(cosec^2(t/2)\)
Setting f'(t) equal to zero:
1 - (1/2)\(cosec^2(t/2)\) = 0
Solving for t:
\(cosec^2(t/2)\) = 2
\(sin^2(t/2)\) = 1/2
sin(t/2) = ±√(1/2)
t/2 = π/4 or t/2 = (3π)/4
t = π/2 or t = (3π)/2
So, the critical points are t = π/2 and t = (3π)/2.
Step 2:
Now, we evaluate the function f(t) at the critical points and the endpoints of the interval:
f(π/4) = (π/4) + cot((π/4)/2) = (π/4) + 1 = 1 + π/4 ≈ 1.79
f((7π)/4) = ((7π)/4) + cot(((7π)/4)/2) = ((7π)/4) - 1 = 7π/4 - 1 ≈ 5.71
f(π/2) = (π/2) + cot((π/2)/2) = (π/2) + 0 = π/2 ≈ 1.57
f((3π)/2) = ((3π)/2) + cot(((3π)/2)/2) = ((3π)/2) + 0 = 3π/2 ≈ 4.71
Step 3:
Comparing the values, we can determine the absolute maximum and absolute minimum:
Absolute maximum: The maximum value is f((7π)/4) ≈ 5.71, which occurs at t = (7π)/4.
Absolute minimum: The minimum value is f(π/2) = 1.57, which occurs at t = π/2.
Therefore, the absolute maximum value is approximately 5.71, and the absolute minimum value is approximately 1.57 for the function f(t) = t + cot(t/2) on the interval [π/4, (7π)/4].
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + 2y = 4
Answer:
y= -x+2
Step-by-step explanation:
Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.
$50 item discounted 30%
Answer:
You will pay $35
Step-by-step explanation:
You will pay $35 for a item with original price of $50 when discounted 30%. In this example, if you buy an item at $50 with 30% discount, you will pay 50 - 15 = 35 dollars.
Answer:
$35
Step-by-step explanation:
I did it in my head
A music store has 500 guitar picks. they order 15 boxes with 9 picks each. they sell 19 boxes that have 10 picks each. the store manager says they now have about 450 guitar picks. is the manager's estimate reasonable?
The store should have 445 picks remaining, not 450 as estimated by the manager. To determine if the store manager's estimate is reasonable, let's analyze the situation.
The store initially has 500 guitar picks. They order 15 boxes, and each box contains 9 picks. So the total number of picks they receive from the order is:
15 boxes * 9 picks/box = 135 picks
Next, the store sells 19 boxes, with each box containing 10 picks. Therefore, the total number of picks sold is:
19 boxes * 10 picks/box = 190 picks
To find the remaining number of picks, we can subtract the sold picks from the received picks:
Total remaining picks = Initial picks + Received picks - Sold picks
Total remaining picks = 500 + 135 - 190 = 445 picks
According to the calculations, the store should have 445 picks remaining, not 450 as estimated by the manager.
However, it's important to note that we are working with whole numbers, so there might be some rounding involved in the manager's estimate. It's possible that the manager rounded up to 450 for simplicity or other reasons.
Given the small discrepancy of 5 picks between the calculated value and the manager's estimate, it is reasonable to conclude that the manager's estimate is close enough to the actual number of picks. The discrepancy could be due to rounding or a small counting error. It's unlikely to have a significant impact on the store's operations or inventory management.
In summary, while the manager's estimate of 450 guitar picks may not be exactly accurate, it is reasonably close to the actual remaining number of picks based on the given information.
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Anika wants to determine the maximum number of tulip bulbs (t) she can purchase if each bulb costs $1.50. She will also need to purchase separate pots for each bulb at $1.25 each and a bag of potting soil for $10.00. Set up an inequality to determine how many tulip bulbs Anika can purchase without spending more than $20.00, and solve it.
20 (> greater than or equal to sign) 1.50t + 1.25t + 10
There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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HELP HELP HELP ILL MARK YOU BRAINLIEST
The answer would be 128z^9.
This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.
Calculate the rise and run to find the she slope a line
Answer:
slope = 3
Step-by-step explanation:
rise/run = 6/2 = 3
List five vectors in Span {v_1, v_2}. Do not make a sketch. v_1 = [8 2 -7], v_2 = [-6 4 0] List five vectors in Span {v_1, v_2} (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element.)
The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})
List five vectors in Span {v_1, v_2}?
1) V1+v2={8,2,-7 }+{-6,4,0 }
={2,6,-7}
2) 2v1+v2={16,4,-14}+{-6,4,0}
={10,8,-14}
3)2v1+2v2={16,4,-14}+{-12,8,0}
={4,12,-14}
4)V1-v2={8,2,-7}-{-6,4,0}
={14,-2,-7}
5)2v1-v2={16,4,-14}-{-6,4,0}
={22,0,-14}
All of these vectors are contained within the span.
{v1,v2}={av1+bv2:ab∈r}
A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram has 20 pens and 7 pencils,
Rohan has 15 pens and 5 pencils,
Yash has 12 pens and 3 pencils
Now, this could be arranged in tabular form as follows,
⎢20 7⎢
⎢15 5⎢
⎢12 3⎢
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Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm. What is MP?
A. 9 cm
B. 21 cm
C. 33 cm
D. 66 cm
The measure of the diagonal MP is 66 cm.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm.
We know that, diagonals of a parallelogram bisects each other,
Therefore, ME = PE
(7x - 30) = (5x-12)
2x = 18
x = 9
ME = PE = 33
MP = ME + PE
MP = 33+33
MP = 66
Hence, The value of MP is 66 cm
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HELP ME FOR 25 POINTS
Answer:
yes they are congrent i think it is B
Step-by-step explanation:
they both have 31 degrees
(WILL GIVE BRAINLYIST IF ANSWER IS RIGHT!)
Choose all the expressions that is equal to 0.25(4y - 36)
1. Y - 9
2. -18/2 - y
3. 0.25y - 36
4. -1/2(-2y + 18)
Answer:
The answer is 1 and 4
Step-by-step explanation:
.25 x 4y = Y
36 divided by 4 = 9
When Rain purchased a new car, the equation t = 35. 50 +0. 0625s represented the tax, title, and license fees she needed to pay given s, the sales price of the new car. Which equation represents the inverse of the function in this situation?
The equation that represents the inverse of the function t = 35.50 + 0.0625s is t = (s - 35.50) / 0.0625.
The inverse of a function represents the relationship between the input and output variables in reverse.
To find the inverse of the function t = 35.50 + 0.0625s, we need to interchange the roles of the variables t and s.
Step 1: Replace t with s and s with t in the given function:
s = 35.50 + 0.0625t
Step 2: Solve the equation for t to express it in terms of s:
s - 35.50 = 0.0625t
Divide both sides of the equation by 0.0625:
(s - 35.50) / 0.0625 = t
Step 3: Simplify the equation:
t = (s - 35.50) / 0.0625
Therefore, the equation that represents the inverse of the function t = 35.50 + 0.0625s is t = (s - 35.50) / 0.0625.
This inverse function allows us to determine the sales price of the new car (s) when given the amount Rain needs to pay for tax, title, and license fees (t). By substituting the known value of t into the equation, we can solve for s.
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Is
−
204
in the sequence below?
22
,
18
,
14
,
10
,
6
,
.
.
.
Answer:123
67
Step-by-step explanation:
2by2
F=ma is the formula for force. So how would I solve for m?
Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.
Answer:
She earns 5.5 dollars per hour at the library
Step-by-step explanation:
I am going to assume that the questions is "how much she earns per hour at the library?"
Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.
Later her grandma gave her 20 dollars and she has now 53 dollars.
Let's write the equation and solve it
Amount earned + Amount given by her grandma = 53
\(6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5\)
Thus, based on this information we would have that Kia earns 5.5 dollars per hour.
What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? A. 0. 257 B. 0. 284 C. 0. 312 D. 0. 356 E. 0. 548.
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.
How to form two-way frequency table?Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ... , Y_n\)
List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
The missing frequency table is attached below. If we name events as:
A = event that the person selected randomly would be older than 35 yearsB = event that the randomly selected person would be having hemoglobin between 9 and 11Then, the needed probability is P(B|A) (as it is already specified that the person would be older than 35 years.)
Using the table, we get:
\(P(A) = \dfrac{\text{Total person who are older than 35 years age}}{\text{Total person in survey}}\\\\P(A) = \dfrac{162}{429} \approx 0.3776\)
Using the table, we get the value on the place where A and B both occur(when person selected is older than 35 years and have hemoglobin between 9 and 11 ) as:
\(n(A \cap B) = 162 - 40 - 76 = 46\)
Thus, we get:
\(\\\\P(A\cap B) = \dfrac{\text{Total person older than 35 years age and have hemoglobin level between 9 and 11}}{\text{Total person in survey}}\\\\P(A \cap B) = \dfrac{46}{429} \approx 0.1072\)
Using the chain rule, we get:
\(P(B|A)P(A) = P(A\cap B)\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.1072}{0.3776} \approx 0.284\)
Thus, the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.
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Please help with my math
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
You are asked to evaluate the food at a new restaurant on 7-point scales with bipolar adjectives such as good-bad and inexpensive-expensive. These measures represent what type of scale
The type of scale used to evaluate the food at a new restaurant on 7-point scales with bipolar adjectives such as good-bad and inexpensive-expensive is known as a Likert scale.
This type of scale is commonly used in surveys to measure attitudes and opinions towards a particular topic, in this case, the food at a new restaurant. A Likert scale consists of a series of statements or adjectives that respondents are asked to rate on a scale that ranges from strongly disagree to strongly agree or, in this case, from bad to good and from inexpensive to expensive.
The bipolar adjectives used in the scale allow for a clear distinction between the positive and negative aspects of the food, which helps to ensure that the responses are more accurate and meaningful. The 7-point scale provides a wider range of options than a binary scale, which allows for more nuanced and detailed responses.
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What additional information must be known to prove the triangles similar by SAS?
Question 11 options:
A)
∠G ≅ ∠L
B)
The lengths of and
C)
∠D ≅ ∠J
D)
The lengths of and
To prove that both triangles are similar by SAS similarity theorem, the additional information that must be known is: the lengths of DF and JK.
What is the SAS Similarity Theorem?The SAS similarity theorem states that two triangles can be proven to be similar to each other if they both have two pairs of corresponding sides that are proportional to each other and a pair of corresponding included angles that are congruent to each other.
We are only given a pair of corresponding side lengths and a pair of congruent angles. To prove that they are similar by the SAS similarity theorem, the additional information needed would be: The lengths of DF and JK.
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Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and
16 minutes to lay down 44 cubic yards of mulch.
Plot five data points and the line that represent this direct variation relationship.
Answer with explanation:
Given: Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and 16 minutes to lay down 44 cubic yards of mulch.
Here, Time(Independent variable (x)) is directly proportion to the Volume of mulch(dependent variable (y)) lied by Charlie.
Let k be the constant of proportionality, such that
\(k=\dfrac{y}{x}\)
For x= 4 and k= 11, \(k=\dfrac{11}{4}\)
Required equation: \(y=\dfrac{11}{4}x\)
Two points are given in question: (4,11) , (16,44).
Take x= 8 , \(y=\dfrac{11}{4}(8)=22\)i.e. point (8,22)
Similarly, for x= 12, y=33 i.e. point (12, 33)
For x= 20 , y= 55 i.e. point (20,55)
Five data points: (4,11) , (16,44), (8,22), (12, 33), (20,55).
Now, we plot these points on graph and join them
Answer:
Here
Step-by-step explanation:
The sum of 2 10 + 41 100 using fractions
answer:
61/100
step-by-step explanation:
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
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How much does it cost for 2 specials and 2 glasses of milk?
4 specials+2 glasses of milk=28.00$ 3 specials+4 glasses of milk=26.25$
The cost of 2 specials and 2 glasses of milk is $16
What is the cost of 2 specials and 2 glasses of milk?The first step is to determine the price of a special and a glass of milk.
The elimination method would be used to solve the given system of equations :
4s + 2m = 28 equation 1
3s + 4m = 26.25 equation 2
Where:
s = cost of one specials m = cost of one glass of milkMultiply equation 1 by 2
8s + 4m = 56 equation 3
Subtract equation 2 from equation 3:
5s = 29.75
Divide both sides of the equation by 5
s = 29.75 / 5
s = $5.95
Substitute for s in equation 1:
4(5.95) + 2m = 28
23.8 + 2m = 28
2m = 28 - 23.8
2m = 4.2
m = 4.2 / 2
m = $2.10
Cost of 2 specials and 2 glasses of milk = (2 x 2.10) + (2 x 5.95)
= $4.10 + 11.90 = $16
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What function is a vertical shift of f(x) = x?
A) g(x) = 3f(x)
B) g(x) = f(x - 3)
C) g(x) = f(x) + 4
D) g(x) = 1/2 f(x)
Answer:
C) g(x) = f(x) + 4
Step-by-step explanation:
A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A
-anumber would slide the function DOWN instead.
As for the other answers:
A) the 3multiplied in front is a vertical STRETCH.
D) the 1/2 multiplied in front is a vertical shrink (smash)
B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.
evaluate the integral using integration by parts as a first step. ∫sin^−1(x)/4x^2 dx(Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)
∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.
Using integration by parts formula, we have:
∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx
= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx
= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)
= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C
Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
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