The exact value of A in the general solution y = A + c/x is 40
How to determine the value of A in the general solutionFrom the question, we have the following parameters that can be used in our computation:
y = A + c/x
The differential equation is given as
y dx + x dy = 40dx.
Divide through by dx
So, we have
y + x dy/dx = 40
When y = A + c/x is differentiated, we have
dy/dx = -cx⁻²
So, we have
y - x cx⁻² = 40
This gives
y - c/x = 40
Recall that
y = A + c/x
So, we have
A + c/x - c/x = 40
Evaluate the like terms
A = 40
Hence, the value of A in the general solution is 40
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Margarita traces a circle with a radius of 20 centimeters like the one shown below. She will color in the shaded region. What is the area of the shaded region?
Answer:
314 cm ^ 2
Step-by-step explanation:
First do, 3.14 x 20 ^ 2
3.14 x 20 ^ 2 = 1,256
Then do, 1,256/4
1,256/4 = 314
Why 4?
This part of the circle is 1/4 of the entire circle.
What does ^ mean?
It's just a way to say to the power of on a computer.
Hope this helps! :)
A notebook costs $1.25 and has a 6% tax added on. Calculate the TOTAL cost of the notebook including tax. (*Round to the nearest dollar and cents)
Answer:
$1.33
Step-by-step explanation:
To find the cost of the 6% tax, multiply the tax by the cost of the notebook.
tax = (0.06)(1.25) = $0.075
Add this tax cost to the cost of the notebook for the total.
total = 1.25 + 0.075 = $1.325 = $1.33
Round to the nearest hundreth.
OR
You could multiply:
total = (1.06)(1.25) = $1.325 = $1.33
I need help answering this
Answer:
I have a suggestion. There are math apps on google play store or apple app store that can solve this question for you. You'll just take a pic of the question and it will answer it.
Step-by-step explanation:
....... wont let me type the name of the app so I'm gonna code it with the numbers of the alphabets.
13 1 20 8 23 1 25 is a really good one
The difference of a number and 72 is 12. Find the number.
Problem
The difference of a number and 72 is 12. Find the number.
Solution
Let x the number of intertest and we can write this:
x-72=12
And solving for x we got:
x= 72+12= 84
Tell whether the given number is a solution of 2(3x + 1) 2 7x + 4.
1. -1
2.-2
3.-10
4.0
step by step please :)
The given number is a solution of 2(3x + 1) 2 7x + 4 is 0.
How can you tell if a number is a solution when it is given?Analyze a number to see if it is an equation's solution.
For the variable in the equation, substitute the integer.
On both sides of the equation, simplify the expressions.
Check the equation to see if it's correct. The number provides a solution if it is accurate. The figure isn't a solution if it's false.
Equations with just one solution. If you solve an equation and the result is a variable equal to a number, the problem only has one solution.
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someone please help me with this asap
Answer:
It changed by 41 people.
Step-by-step explanation:
-5
for
f(x) =
- 4 < x < 1
1
- X – 5
for
Answer:
the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th
Step-by-step explanation:
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
on a candy production line, 3% of bags are overfilled. an employee randomly selects 100 bags and finds that 5% are overfilled. a second employees takes another random sample of 250 bags and finds that 2% are overfilled. which of the following explains why there is a difference between the two percentages?
- Random error; the numbers were different due to variability inherent in sampling. - The samples were not random samples. - Both samples suffered from non-response bias.
- The sample sizes were both too small, which is why they both obtained figures different than 3%
The most likely explanation for the difference between the two percentages is random error.
Random error refers to the variability inherent in sampling, where different samples may yield different results due to chance.
In this case, the first employee randomly selected 100 bags and found that 5% were overfilled, while the second employee randomly selected 250 bags and found that 2% were overfilled.
This discrepancy is likely due to the natural variation that can occur when taking samples from a larger population.
It is important to note that both samples were random samples, as stated in the scenario. Random sampling involves selecting individuals or items from a population in such a way that each has an equal chance of being chosen.
Therefore, the issue is not with the randomness of the samples.
Non-response bias refers to the bias that may arise if individuals or items chosen for the sample do not respond or participate. However, there is no indication in the scenario that non-response bias affected the results.
Lastly, the sample sizes of 100 and 250 are considered reasonably large for estimating proportions. With larger sample sizes, we would expect the estimated percentages to be closer to the true population percentage.
Therefore, it is unlikely that the difference in percentages can be solely attributed to the sample sizes being too small.
Therefore, the most plausible explanation for the difference between the two percentages is random error, which is inherent in sampling and can lead to variability in the obtained results.
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Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
2. The Winter Olympics have been held a total of 21 times on the continents of North America, Europe, and Asia. The number of European sites is 5 more than the total number of sites in North America and Asia. There are 4 more sites in North American than in Asia. (Source: USA Today research) Find the number of Winter Olympic sites on each continent.
Let x represent the number of winter olympics held in North America.
Let y represent the number of winter olympics held in Europe.
Let z represent the number of winter olympics held in North Asia.
The Winter Olympics have been held a total of 21 times on the continents of North America, Europe, and Asia.
This means that
x + y + z = 21
The number of European sites is 5 more than the total number of sites in North America and Asia.
This means that
y = x + z + 5
There are 4 more sites in North American than in Asia.
This means that
x = z + 4
These are the equations. We would solve simultaneously
\(\begin{gathered} x\text{ + y + z = 21} \\ y\text{ = x + z + 5} \\ x\text{ = z + 4} \\ \text{Substituting y = x + z + 5 into the first equation, it becomes} \\ x\text{ + x + z + 5 + z = 21} \\ 2x\text{ + 2z + 5 = 21} \\ \text{Substituting x = z + 4 into the above equation, it becomes} \\ 2(z\text{ + 4) + 2z + 5 = 21} \\ 2z\text{ + 8 + 2z + 5 = 21} \\ 4z\text{ + 13 = 21} \\ 4z\text{ = 21 - 13 = 8} \\ z\text{ = }\frac{8}{4} \\ z\text{ = 2} \\ We\text{ would substitute z = 2 into x = z + 4. It becomes} \\ x\text{ = 2 + 4} \\ x\text{ = 6} \\ We\text{ would substitute x = 6 and z = 2 into x + y + z = 21. It becomes} \\ 6\text{ + y + 2 = 21} \\ 8\text{ + y = 21} \\ y\text{ = 21 - 8} \\ y\text{ = 13} \end{gathered}\)The olympics was held 2 times in North America, 13 times in Europe and 6 times in Asia
How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions
Answer:
C
Step-by-step explanation:
remove () and calculate the product
8x*(x-5)=3(2x-4)
distribute 8x through the ()
8x^2-40x=6x-12
move the expression to the left-hand side and change its sign
8x^2-40x-6x+12=0
collect like terms
8x^2-46x+12=0
determine the number of solutions using the discriminant D=b^2-4 a c
D=(-46)^2-4*8*12
simply the expression
D=1732
Since D>0, the quadratic equations has 2 real solutions
6x + 8y = -2 -5x - 7y = 1
Answer: Solution = (- 3, 2)
Explanation:
The system of equations is
6x + 8y = -2
-5x - 7y = 1
We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have
30x + 40y = - 10
- 30x - 42y = 6
By adding both equations, we have
30x + - 30x + 40y + - 42y = - 10 + 6
30x - 30x + 40y - 42y = - 4
- 2y = - 4
Dividing both sides by - 2,
- 2y/- 2 = - 4/- 2
y = 2
Substitu4ing y = 2 into equation 1, we hav
6x + 8 * 2 = -2
6x + 16 = - 2
Subtracting 16 from bth sides,
6x + 16 - 16 = - 2 - 16
6x = - 18
Dividing both sides by 6,
6x/6 = - 18/6
x = - 3
Solution = (- 3, 2)
Which describes how a person most likely uses latitude and longitude lines?
Brainliest to the first person with the written steps.
Answer:
x = 25
Step-by-step explanation:
2(3x - 4) = 5x + 17
6x - 8 = 5x + 17
x - 8 = 17
x = 25
Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
Please help me!
Explain how to use the graphs of systems of equations to state when the system has one solution, no solution, or infinite solutions. Be specific.
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
__
general caseA system will have one solution if there is a single point of intersection of the graphs of the equations.
A system will have no solutions if the graphs have no points of intersection.
A system will have an infinite number of solutions if the graphs intersect at an infinite number of points.
_____
linear equationsWhen the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
the lines are parallel -- no solutionsthe lines are coincident -- infinite solutionsThe attached graph illustrates these cases.
the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopesthe blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
Answer:
wouldn't this be 4,2?
Step-by-step explanation:
i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.
Simplify the expression below.
-9+ -28
Answer:
-37.
combine the numbers
i really really need help
Answer:
which one
Step-by-step explanation:
which one
Stuck on this one. I can’t remember the process to get the answer
A bag contains 22 coins consisting of quarters and nickels. The total value of the coins is $3.90. How many nickels are in the bag? *
Answer:
8 Nickels
Step-by-step explanation:
Since a Nickel is worth 5 cents ($0.05)
And a Quarter is worth 25 ($0.25)
and theres 22 coins
8 of those coins would be nickels which would mean we add 8 nickels up
8 x 0.05 = 0.4
then we add the quarters up
14 x 0.25 = 3.5
3.5 + 0.4 = $3.90
A veterinarian keeps track of the types of animals treated by an animal clinic. The following distribution represents the percentages of animals the clinic has historically encountered. Animal type Dogs Cats Livestock Birds Other Percent 61% 22% 8% 6% 3% If the animal clinic treats 230 animals in a month, how many of each animal type would be expected? A) Animal type Dogs Cats Livestock Birds Othei Expected 61 22 CO 8 6 3 B) Animal type Dogs Cats Livestock Birds Othei 122 Expected 44 16 12 6 C) Animal type Dogs Cats Livestock Birds Othei Expected 140 51 18 14 7 D) Animal type Cats Livestock Birds Othei Dogs 46 Expected 46 46 46 46 E) Cats Livestock Birds Other Animal type Dogs Expected 740.3 50.6 18.4 13.8 6.9
To find the expected number of each animal type treated by the veterinarian, we will multiply the percentage distribution by the total number of animals treated in a month.
Total animals = 230
Dogs: 61% * 230 = 0.61 * 230 = 140.3 (approximately 140)
Cats: 22% * 230 = 0.22 * 230 = 50.6 (approximately 51)
Livestock: 8% * 230 = 0.08 * 230 = 18.4 (approximately 18)
Birds: 6% * 230 = 0.06 * 230 = 13.8 (approximately 14)
Other: 3% * 230 = 0.03 * 230 = 6.9 (approximately 7)
So, the expected number of each animal type treated is:
Dogs: 140
Cats: 51
Livestock: 18
Birds: 14
Other: 7
The correct answer is C) Animal type Dogs Cats Livestock Birds Other Expected 140 51 18 14 7
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When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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using MATLAB,a) Create the vector v=1+r
1
+r
2
+…+r
100
, where r is a random value less than 1 . And calculate the sum of the sequence. Hint: Use the sum(v) command b) Repeat the same work till r
1000
, and again till r
10000
. Does the sum converge to a certain value?
Using MATLAB, create the vector.
v=1+r1+r2+…+r100,
where r is a random value less than 1. And calculate the sum of the sequence. Hint: Use the sum(v) command) Repeat the same work till r1000, and again till r10000.
For generating random values for r, the following MATLAB command can be used:
\(r = rand(100,1);\)
This will generate a 100×1 vector containing random values less than 1. Using this, the vector v can be created sav = 1 + consume(r);where consume(r) calculates the cumulative sum of the vector r.
The sum of the sequence can be calculated using the command: sum(v)For example, the following code generates the required results:
\(r = rand(100,1); v= 1 + consume(r); S = sum(v);\)
The series in this case is:
\(1 + r1 + r2 + … + ra + …\)
If r is less than 1, then this series converges to a limit of 1/(1 – r). As n becomes very large, the value of the sum approaches this limit.
So, we can check whether the sum converges to a certain value by comparing it with the value of 1/(1 – r).
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I NEED HELP WITH THIS QUESTION
Answer:
KML and LMK
Step-by-step explanation:
suppose v is a nonzero position vector in xyz-space. how many position vectors with length 2 in xyz-space are orthogonal to v? a. 2 b. 1 c.4 d. infinitely many
Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)
A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.
If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.
Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.
This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.
There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.
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Which ratio is the odd one out?
6:24
4:16
1:4
3:12
8:31
Answer:
8:31
Step-by-step explanation:
all of them are equal with 1:4 except 8:31
find the angle please due soon
Answer:
15.9
Step-by-step explanation:
A, O
Tan=O/A
Tan47=17/x
x=17/tan 47