find f. f ‴(x) = cos(x), f(0) = 6, f ′(0) = 3, f ″(0) = 9
Answers
Therefore, the solution to the initial value problem is: f(x) = sin(x) + (9/2)x^2 - 4x + 6.
Taking the antiderivative of f‴(x) = cos(x), we get f′′(x) = sin(x) + C1, where C1 is the constant of integration.
Then, taking the antiderivative of f′′(x), we get f′(x) = -cos(x) + C1x + C2, where C2 is the constant of integration.
Finally, taking the antiderivative of f′(x), we get f(x) = sin(x) + C1/2 x^2 - C2x + C3, where C3 is the constant of integration.
Using the initial conditions f(0) = 6, f′(0) = 3, and f′′(0) = 9, we get:
f(0) = sin(0) + C3 = 6, so C3 = 6.
f′(0) = -cos(0) + C2 = 3, so C2 = 4.
f′′(0) = sin(0) + C1 = 9, so C1 = 9.
Therefore, the solution to the initial value problem is:
f(x) = sin(x) + (9/2)x^2 - 4x + 6.
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Related Questions
after collecting eggs from his chickens, dale puts the eggs into cartons to sell. dale fills 15 1515 cartons and has 7 77 eggs left over. each carton holds 12 1212 eggs. how many eggs did dale collect? eggs
Answers
The total number of eggs Dale collected is 187 eggs.
To find the total number of eggs, you would use operations, specifically, multiplication and addition. First, multiply the number of cartons (15) by the number of eggs per carton (12). This gives you a total of 180 eggs (15 x 12) in the cartons.
In addition to the eggs in the cartons, Dale also has 7 eggs left over. To find the total number of eggs Dale collected, you simply add the number of leftover eggs (7) to the total number of eggs in the cartons (180). This results in a grand total of 187 eggs (180 + 7) that Dale collected from his chickens.
In summary, Dale collected 187 eggs in total: 180 eggs from filling 15 cartons with 12 eggs each and 7 additional leftover eggs.
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please help tight away!! whst is the solution to the system of equations
Answers
Answer:
(2,4)
Step-by-step explanation:
the solution to a system of equations is where two lines intersect.
If P(A)=0.54 then what value of P(B) the event A and B are complementary event
Answers
Answer:
P(B) = 0.46
Step-by-step explanation:
Probability
The complementary event of a given event A is defined as "not A" or the event that A does not occur.
For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.
Event A and its complementary event (call it B) must satisfy:
P(A) + P(B) = 1
If we know P(A)=0.54, then
P(B) = 1 - P(A)
P(B) = 1 - 0.54
P(B) = 0.46
answer each question and round your answe ) Shreya was planning a trip to Oman. Before going, she did some research and learned that the exchange rate is 1 Rial = $3. How many Rials would she get if she exchanged $126?
Answers
On solving the provided question, we can say that by equation x = 3y, 42 Rials would she get if she exchanged $126
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation that can be formed is as follows
1 Rial = $3.
rial be x
$ be y
x = 3y
$126 => 126 = 3y = > 126/3 =y
y = 42 rial
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help plz urgent ! “which ratio completes the probability distribution table”
1/48
3/48
28/48
16/48
Answers
Answer:
16/48
Step-by-step explanation:
Select all the expressions that are equivalent to 3x−4+2x−6.
Answers
Answer:
5x-10
Step-by-step explanation:
3x-4+2x-6
group like terms
3x+2x -4--6
5x-10
The expressions that are equivalent to 3x - 4 + 2x - 6 are:
5x - 2 - 6
5x - 16
To determine which expressions are equivalent to 3x - 4 + 2x - 6, we can simplify the given expression:
3x - 4 + 2x - 6
Combining like terms, we have:
(3x + 2x) + (-4 - 6)
Simplifying further:
5x - 10
Now, we can compare this simplified expression to the provided options:
a) 3x + 2x - 10
b) 5x - 2 - 6
c) 5x - 16
d) 6x - 10
By comparing the simplified expression 5x - 10 to the options, we find that options b) (5x - 2 - 6) and c) (5x - 16) are equivalent expressions.
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In Quadrilateral ABCD, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=35°. What is m∠5? Enter your answer in the box. ° Trapezoid A B C D with segment B D. Angle A D B is angle 1. Angle B D C is angle 2. Angle C is angle 3. Angle A is angle 4. Angle A B D is angle 5. Angle C B D is angle 6.
Answers
The measure of ∠5 is 35degree
What is linear pair of angles?Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
Given:
In Quadrilateral ABCD, AB||CD
<M2=35
If a transversal line intersects two parallel lines then the alternate interior angles are congruent.
In the given figure In Quadrilateral ABCD, AB||CD<M2=35 .
So,
<5≅<2 (Alternate interior angles)
M<5=M<2
M<5=35degree
Therefore, the angle measure of M<5 will be 35degree
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You are given: i) The claim count N has a Poisson distribution with mean A. ii) A has a gamma distribution with mean 1 and variance 2. Calculate E(N A2). Possible Answers A 0.15 B 0.25 C 0.30 D 0.45 E 0.65
Answers
To calculate E(NA^2), we need to find the expected value of the product of N and A^2.
Since A follows a gamma distribution with mean 1 and variance 2, we know that E(A) = 1 and Var(A) = 2. Additionally, for a gamma distribution with mean kθ, the shape parameter k represents the mean squared divided by the variance. In this case, we have mean(A^2) = Var(A) + [E(A)]^2 = 2 + 1^2 = 3. Now, using the properties of the Poisson distribution, we have E(N) = A and Var(N) = A. Therefore, E(NA^2) = E(N) * E(A^2) = A * mean(A^2) = A * 3 = 3A. Since A has a mean of 1, we have E(NA^2) = 3 * 1 = 3.
Therefore, the correct answer is E(NA^2) = 3, which is not one of the given options.
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WILL GIVE BRAINLEST The following data shows the grades that a 7th grade mathematics class received on a recent exam.
{98, 93, 91, 79, 89, 94, 91, 93, 90, 89, 78, 76, 66, 91, 89, 93, 91, 83, 65, 61, 77}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (2 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (2 points)
Answers
Part A) The best graphical representation to display the given data would be a histogram.
Part B) The illustration of the histogram is displayed below.
Part A: A histogram is a type of bar graph that displays the frequency distribution of a set of continuous data. In this case, we have a set of grades, which are continuous data, and a histogram can display the frequency distribution of these grades. A histogram is an appropriate choice because it allows us to see the distribution of the grades and identify any patterns or outliers in the data.
Part B: To create a histogram for the given data, we need to follow these steps:
Determine the class intervals: Class intervals are ranges of data values that are used to group the data in a histogram.
Count the frequency of data in each class interval: We need to count how many data points fall in each class interval.
We draw the x-axis, which represents the class intervals, and the y-axis, which represents the frequency of data in each class interval. Then, we draw rectangles on the x-axis, each representing a class interval, with a height equal to the frequency of data in that interval.
Finally, we need to label the x-axis as "Grades" and the y-axis as "Frequency." If needed, we can also include a scale on the x-axis to indicate the range of grades being displayed.
By following these steps, we can create a histogram that effectively displays the distribution of grades in the given data set.
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hi, can you help me answer this question please, thank you!
Answers
The first thing we have to do is transform the value of the man's height from feet to inches:
\(\begin{gathered} 1feet\to12inches \\ 6feet\to72inches \\ 6feet+3inches\to75inches \end{gathered}\)a) man with 6 feet 3 inches
\(\begin{gathered} z_{score}=\frac{(x-\mu)}{\sigma} \\ \mu=69.1 \\ \sigma=2.65 \\ x=75 \\ z_{score}=\frac{(75-69.1)}{2.65} \\ z_{score}=2.23 \end{gathered}\)b) Using the calculated value of the previous z score, we search the z table to find the percentage of men smaller than that height.
\(P(z<2.23)=0.9871\)So the percentage is 98.81%
c) A woman with 5 feet 11 inches
\(5feet+11inches\to71inches\)\(\begin{gathered} \mu=64.7 \\ \sigma=2.51 \\ x=71 \\ z_{score}=\frac{(x-\mu)}{\sigma} \\ z_{score}=\frac{(71-64.7)}{2.51} \\ z_{score}=2.51 \end{gathered}\)d) Using the calculated value of the previous z score, we search the z table to find the percentage of women taller than that height.
\(\begin{gathered} P(z>2.51)=1-P(z\le2.51) \\ P(z>2.51)=1-0.9940 \\ P(z>2.51)=0.006 \end{gathered}\)\(P(z<2.26)=0.9881\)So the percentage is 0.6%
The ratio of students wearing sandals to those wearing sneakers is 5 : 1. If there are 30 students in the class, and all of them are wearing either sandals or sneakers, how many of them are wearing sandals?can someone anwser this plz:(
Answers
Step-by-step explanation:
5:1 = 5
1
= 5 × 30
1
any standing alone is on one so
6 × 30
1 1
180
1
180
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answers
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
he Root cause analysis uses one of the following techniques: a. Rule of 72 b. Marginal Analysis c. Bayesian Thinking d. Ishikawa diagram
Answers
The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.
The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.
It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.
The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.
It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.
The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.
In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.
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Please help me asap !
Answers
On the graph:
A represents the reactants
B represents the activated complex
C represents the products
D represents the activation energy
What is the information in the energy profile diagram of the reaction shown?The path of energy changes that take place in a reaction, as well as the energy content of the reactants and products, are depicted in the energy profile diagram.
The letters shown in the diagram represents the following:
A stands for the activation energy, which is the minimal amount of energy required for reactant molecules to produce products.The activated complex, represented by B, is an intermediate state created during the transformation of reactants into products.The reaction's overall enthalpy change is denoted by the letter C.D stands for the products' potential energy, which is contained in their chemical bonds.E stands for the reactants' potential energy, which is the chemical potential energy contained in the bonds that make up the reactant.The reactants are denoted by F.G stands for the goods.Since the energy content of the reactants is higher than that of the products, the reaction is exothermic.Learn more about energy profile diagram at:
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which of the following expressions is equivalent to -10?
a.-7 3
b.-3 - 7
c.3 - 7
d.7 - 3
Answers
The expression which is equivalent to -10 is the option b, -3 - 7.
Explanation:
We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;
-3 - 7 = -10 (-3 - 7)
The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.
If we add -3 and -7 we will get -10. This makes the option b the correct answer.
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books cost 50¢ and pamphlets 15¢ at the book sale. if mr. jones spent $90 and purchased 15 more pamphlets than he did books, how many pamphlets did he buy ?
Answers
Mr. Jones bought approximately 13 pamphlets.
In this problem, we have two types of items: books and pamphlets. Books cost 50¢ and pamphlets cost 15¢ at the book sale.
Let's use variables to represent the quantities we don't know. Let's say Mr. Jones bought x books and y pamphlets.
We are given two pieces of information:
1. Mr. Jones spent $90 on his purchases.
2. He bought 15 more pamphlets than books.
Now, let's set up the equations based on the given information.
First, let's consider the cost equation. The total cost of the books and pamphlets should equal $90.
The cost of x books is 50¢ * x, and the cost of y pamphlets is 15¢ * y. So, the equation becomes:
50x + 15y = 90
Next, let's consider the second piece of information. Mr. Jones bought 15 more pamphlets than books, which means y = x + 15.
Now, we have a system of two equations:
50x + 15y = 90
y = x + 15
To solve this system, we can use substitution or elimination method. Let's use substitution:
Substitute the value of y from the second equation into the first equation:
50x + 15(x + 15) = 90
Simplify the equation:
50x + 15x + 225 = 90
65x + 225 = 90
Subtract 225 from both sides:
65x = 90 - 225
65x = -135
Divide both sides by 65:
x = -135 / 65
x ≈ -2.08
Since we cannot have a negative number of books, we know that x must be a positive whole number. So, let's round x to the nearest whole number:
x ≈ -2
Now, substitute this value of x back into the second equation to find y:
y = x + 15
y ≈ -2 + 15
y ≈ 13
Therefore, Mr. Jones bought approximately 13 pamphlets.
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consider the unit circle (circle of radius 1 centered at the origin) in r2. is h a subspace of r2 or not? explain your reasoning
Answers
H does not satisfy all three properties required for a subspace, we can conclude that H is not a subspace of R2.
The set H is a subspace of R2, we need to check if it satisfies the three properties required for a subspace
1. The zero vector is in H.
2. H is closed under vector addition.
3. H is closed under scalar multiplication.
Now each property
1. The zero vector (0, 0) is in H since it lies on the unit circle.
2. To check closure under vector addition, suppose we have two vectors (x₁, y₁) and (x₂, y₂) in H. If we add them together, (x₁, y₁) + (x₂, y₂), the resulting vector will not necessarily lie on the unit circle. For example, if we add (1, 0) and (-1, 0), the result is (0, 0), which is not on the unit circle. Therefore, H is not closed under vector addition.
3. To check closure under scalar multiplication, suppose we have a scalar c and a vector (x, y) in H. If we multiply them, c × (x, y), the resulting vector will not necessarily lie on the unit circle. For example, if we multiply (1, 0) by 3, the result is (3, 0), which is not on the unit circle. Therefore, H is not closed under scalar multiplication.
Since H does not satisfy all three properties required for a subspace, we can conclude that H is not a subspace of R2.
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Two gardens are being fenced in. Both gardens will require the same amount of
fencing (both gardens have the same perimeter in meters). One garden is in the
shape of a square and the other is in the shape of an equilateral triangle. Each
side of the triangle is 2 meters longer than each side of the square. Find the
dimensions of the garden.
square:
m on each side
triangle:
m on each side
Answers
A side of the square to be 6 meter and a side of the triangle to be 8 meter
How to solveFor the square
Let us create a variable x
then the perimeter of the square would be 4 * x = 4x
Then for the triangle
side ;length would be 2 + x
then the perimeter would be
3(2 + x) this is because it is an equilateral triangle
then we would have
4x = 3(2 + x)
4x = 6 + 3x
4x - 3x = 6
x = 6
Hence we would have one side of the square to be 6 meter and the side of the triangle to be 2 + 6 = 8
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3ab2 5a2b4 Find the areaſ a = 1 * w)
Answers
The area of rectangle is,
\(A=l\cdot w\)Determine the area of rectangle.
\(\begin{gathered} A=3ab^2\cdot5a^2b^4 \\ =15a^{1+2}b^{2+4} \\ =15a^3b^6 \end{gathered}\)Thus area of rectangle is,
\(A=15a^3b^6\)Write and solve an equation to answer the question.A box contains orange balls and green balls. The number of green balls is nine more than five times thenumber of orange balls. If there are 123 balls altogether, then how mmany green balls and how manyorange balls are there in the box?There are_____orange balls and____green balls in the box.
Answers
Let
x -----> number of orange balls
y -----> number of green balls
we have that
x+y=123 -----> x=123-y ------> equation A
y=5x+9 -----> equation B
Solve the system of equations
substitute equation A in equation B
y=5(123-y)+9
solve for y
y=615-5y+9
y+5y=615+9
6y=624
y=104
Find out the value of x
x=123-104
x=19
therefore
There are 19 orange balls and 104 green balls in the boxPlease help! I don't understand!
Answers
Answer:
F
Step-by-step explanation:
Answer: G.
Step-by-step explanation:
Just try it out please, I'm 99.9% sure about this answer.
What is the component form of the vector whose tail is the
point (−2,6) , and whose head is the point(3,−4)?
Answers
Answer: The answer is (5,-10)
Step-by-step explanation: I just took the quiz for K12 and this was the correct answer.
If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answers
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
1. A car is worth $50,000 brand new and it will lose 10% of its value each year. At this rate how much
will the car be worth after 10 years?
Answers
50000 - 5000 ten times and then youll end up with 0
The car wouldnt be worth anything
it’s 0.9 because 10% is 0.1 so 1-0.1
Sasha likes to run on a track that is 58 of a mile. If she runs 7 laps. How many miles did she run? 758 678 548 438
Answers
Answer:
4 miles
Step-by-step explanation:
4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps
7 x 0.58=4.06 which is 4 miles
Have a good day :}
Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?
Answers
Each model should be produced on a weekly basis to maximize net profit is $75,900.
What is Net profit?
In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.
As given,
Number of products sold:
T ≥ 1.5G
Maximize Profit Z = 150T + 130G
Labor Constraint:
Labor hours Available:
Production Department:
Number of labor hours available per day = 58 × 7 = 406
Number of days in a week = 5
Number of lobor ours available per week = 406 × 5 = 2030
Assembly Department:
Number of labor hours available per day = 25 × 7 = 175
Number of days in a week = 5
Number of labor hours available per week = 175 × 5 = 875.
Labor hours Required:
Labor hours required for G1 model:
Labor hours required at Production department = 3.5G
Labor hours required at assembly department = 2G
Labor hours required for T1 model:
Labor hours required at Production department = 4T
Labor hours required at Assembly department = 1.5T
Total labor hours required at Production department = 3.5G + 4T
Total labor hours required at Assembly department = 2G + 1.5T.
Constraint:
Labor hours required ≤ Labor hours Available.
Production department Labor constraint
3.5G + 4T ≤ 2030
Assembly department Labor constraint:
2G + 1.5T ≤ 875
The function:
Maximum Profit Z = 150T +130G
Constraint:
3.5G +4T ≤ 2030
2G + 1.5T ≤ 875
T ≥ 1.5G
Suppose that for example:
10.5G +12T = 6090
16G + 12T = 7000
Solve both equations simultaneously,
5.5G = 7000 - 6090
5.5G = 910
G = 910/5.5
G = 363
Since, T > G
Hence,
T = 363,
G = 165
Calculate Profit:
150T + 130G = 150 × 363 + 130 × 165
= 54450 + 21450
= 75900
Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.
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Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. a research team examined the adhesive properties of 7 tokay geckos. below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 what is the value of the sample variance? _____ cm2 answer
Answers
Answer: 0.6763 cm∧2
Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.
The sample variance would be calculated as follows:
Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)
Mean: Sum of samples / population size ;
(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67
Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2
A linear sequence starts
11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9
Answers
Answer:
9n + 2.
Step-by-step explanation:
This is arithmetic with common difference d = 9.
nth term = a1 + d(n - 1) (a1 = 11) 11 + 9n - 9
= 11 + 9(n - 1)
= 9n + 2.
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if shewishes the estimate to be within twopercentage points with 90%confidence, assuming that
(a) sheuses the estimates of 21. 9%male and 18. 5%female from a previous year?
(b) shedoes not use any prior estimates?
A. N = ____
B. N = ____
Answers
Number of sample within two percent is 1157. Number of sample does not use any prior estimates are 1691.
How to calculate data sample?
As per data given
E = 2% = 0.02
male m = 21.9% = 0.219
female f = 18.5% = 0.185
Critical value Z = 90% = 1.645
To calculate data sample use this function: n = (Z / E )² × m(1-m) + f ( 1-f ), so:
n = (1.645 / 0.02 )² × 0.219(1-0.219) + 0.185 ( 1-0.185 )
n = 1157.24029994 = 1157 number of sample
To calculate number of sample does not use any prior estimates use this function: n = (Z / E )² × m(1-m) + f ( 1-f ). since the data is divided into two category so m = 0.5 and f = 0.5. So the calculation will be:
n = (1.645/ 0.02)² × 0.5(1-0.5) + 0.5 ( 1-0.5 )
n = 1691.515625 = 1691 sample.
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Simplifying fractions
Answers
Answer:
I can help!
Step-by-step explanation:
What fractions do you need to simplify?
Answer:
Step-by-step explanation:
4/8=1/2
5/10=1/2
50/100=1/2
3/4= can't be simplified
Hint:
Take any fraction, like 7/28.
the numerator and denominator ( N and D) are divisible by 7.
7/28=1/4
Try simplifying the following fractions:
6/36
5/25
7/49
9/81