Answer:
y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation:
Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:
Solve for (dy(x))/(dx):
(dy(x))/(dx) = y(x)/x^3
Divide both sides by y(x):
((dy(x))/(dx))/y(x) = 1/x^3
Integrate both sides with respect to x:
integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx
Evaluate the integrals:
log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.
Solve for y(x):
y(x) = e^(-1/(2 x^2) + c_1)
Simplify the arbitrary constants:
Answer: y(x) = c_1 e^(-1/(2 x^2))
The student body of 24 students
wants to elect a president, minister
of Arts, minister of PE department,
and minister of Science. How many
different arrangements are there?
There are 10,626 ways of arranging the required offices from a body of 24 students.
What is combination?
Combination deals with the way in which a arrangement can be made from a particular lot. In this case, we want to select a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.
Hence;
24C4 = 24!/4! (24 - 4)! = 24!/4!20!
So;
24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1
= 24 * 23 * 22 * 21 / 4 * 3 * 2*1
= 10,626 ways
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what lines represent parallel to y=6x+2
Answer:
g
Step-by-step explanation:
7th grade math help me plzzz
Answer:
42
Step-by-step explanation:
which statement are true about the following diagram as labeled
Answer: Triangle ADB is congruent to CBD
Step-by-step explanation:
S1: Try to measure the sides to look alike.
S2: Compare your answers to someone in your class!!!
(6x-1) = (5x+28)
X=?
Answer:
x = 29
Step-by-step explanation:
(6x-1) = (5x+28)
or, 6x-1 = 5x+28
or, 6x-5x = 28+1
or, x = 29
x+3y=15 what is the slope
Answer:
slope = -1/3
Step-by-step explanation:
x+3y=15
-x 3y=-x+15
divide by 3 y= -1/3x -5
what two numbers add to 6 and multiply to -5?
Sam gets paid a set rate in his allowance for making his bed every morning. His rate is $0.50 earned for every morning that he makes his bed.
Let n represent the number of days Sam makes his bed.
Let t represent the total amount earned, in dollars.
Which graph shows the amount of money that Sam earned when he made his bed over the course of 8 days?
Answer:
bottom graph of left picture
Step-by-step explanation:
For each day he makes his bed, he earns $0.50
In 1 day he earns $0.50
In 2 days he earns $1.00
In 3 days, he earns $1.50
...
In 8 days, he earns $4.00
Look in the 4 graphs.
Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?
It is the second graph (bottom graph of left picture.)
An archer hits a target 50% of the time. What is the experimental probability that the archer hits the target exactly four of the next five times?
Answer:
40/50
Step-by-step explanation:
That’s the probability of him hitting them
Answer:
5/32 or 15.625
Step-by-step explanation:
I don't remember how I got the answer but it was just in my notes as the answer so yea. :]
Winston has just gone grocery shopping. The mean cost for each item in his bag was $3.24. He bought a total of 5 items, and the prices of 4 of those items are listed below:
$4.55,$2.53,$2.82,$4.66
Determine the price of the 5th item in his bag.
Answer:
$1.26
Step-by-step explanation:
total: 16.2 (3.24 * 5)
4.55 + 2.53 + 2.82 + 4.66 = 14.56
16.2 - 14.56 = 1.26
The price of the fifth item in W's bag is $1.55 if the mean price of all five items is $3.24.
A mean is one of the measures of central tendencies and is the average value of a group of observations. It is the ratio of the sum of all observations to the total number of observations.
The prices of the 4 items out of the 5 items W has bought are given as follows:
$4.55, $2.53, $2.82, $4.66
It is also given that the mean cost for each item is $3.24.
Let the price of the fifth item be x, then according to the question;
[tex]\dfrac{ 4.55+ 2.53+2.82+4.66+x}{5} = 3.24\\14.65 + x = 3.24 \times 5\\14.65 + x = 16.2\\x = 1.55[/tex]
Therefore, the price of the fifth item in the bag is $1.55.
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6th grade math I mark as brainliest
Answer:
1,3,5
Step-by-step explanation:
1-The first one because you move to the left one place value
2-the value is not 10 times greater it is ten times smaller because it moves to the right one value
3-yes, the 8 is ten times greater because it moved to the right one place value
4-This is not true because if it was 1/10th the value it needs to be ten times smaller, not ten times greater
5- this is true because it moves to the right by one place value
6- this is not true because it is ten times greater not ten times smaller
Hope this helps you out!
Hep math math math math
Answer:
c
Step-by-step explanation:
basic theory, can't explain further.
Answer: y=6
Step-by-step: 2(−6)+3=18 distributed into 2−12+3=18
Next, Combine Like Terms.
2−12+3=18
5−12=18
Wait oh, you wanted the. Oh. Well the distribution of it is 2y-12+3y=18. Sorry!
Please help I need an answer quick too!!!!
A grocery store sells four different sizes of a popular brand of corn flakes. For the past few years the proportion of boxes they sell of each size has been quite stable: 10% Small, 15% Medium, 60% Large, and 15% Jumbo. They decide to change the pricing of the four sizes and want to see if this changes the proportion of boxes they sell of each size. To test this, a few weeks after changing the prices they take a simple random sample of 120 transactions involving corn flakes and count how many boxes of each size were sold. Here are the results:
Observed number of boxes sold for each box size
Small Medium Large Jumbo
8 24 61 27
Required:
a. We wish to carry out a test of significance to see if the distribution of sizes of cereal boxes soldhas changed. State the null and alternative hypotheses for this test.
b. Find the expected counts for each size box under the assumption that the null hypothesis is true.
The sale of the four different sizes is an illustration of the Goodness of Fit Tests
The expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively
The null and the alternate hypothesesThe null hypothesis is always represented by the equality sign i.e. 0 change or no change.
While the alternate hypothesis is always represented by an inequality.
So, the null and the alternate hypotheses are:
Null hypothesis; H0 : The distribution of sizes of all boxes sold of this brand of cereal did not change when the prices changed.Alternate hypothesis; Ha: The distribution of sizes of all boxes sold of this brand of cereal changed when the prices changed.The expected counts for each size boxThis calculated as:
E(x) = np
So, we have:
Small = 8 * 10% = 0.8
Medium = 24 * 15% = 3.6
Large = 61 * 60% = 36.6
Jumbo = 27 * 15% = 4.05
Hence, the expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively
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If three angles of a triangle are "(3x - 2) degrees, (8x - 5) degrees, and (7x+7) degrees", then what does "x" equal?
Answer:
10
Step-by-step explanation:
The sum of the measures of the angles of a triangle.is 180 degrees, so:
3x-2+8x-5+7x+7=180
18x=180
x=10
What happens if I fail a state test in the 9th grade?
Answer:
You will be remembered as a bad student who failed a state test in 9th grade!
Hope it helps!
Answer:
It depends on the grade or school some schools let you retake the test if you fail it you might fail that class and take the same class for 10th
Step-by-step explanation:
which statement best describes the set 14 16 18 20 22
Answer:
They are adding 2 by each number.
A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:
The set of even numbers from 14 to 22
Given that:
[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]
From the above set of numbers, we have the following observations
All numbers are evenThe difference between consecutive numbers is 2So, we can describe the set using the following statement:
The set of even numbers from 14 to 22
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Pls help there will be pic if u click
Answer:
$6.30
Step-by-step explanation:
A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30
The table shows several points for function h(x). A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 3, 6, 9, 12, 15. Column 2 is labeled h (X) with entries 1, 6, 12, 2, 8, 9. Which point is on the graph of the inverse function h–1(x)? (0, 1) (6, 3) (9, –15) (12, –8)
Answer:
B
Step-by-step explanation:
Ed2021
What is 3/5×6/5. Move the numbers to the boxes to show answer. If there is no whole number ,put a 0 in the box
Answer:
72/100
Step-by-step explanation:
hope this helps!
Answer:
18/25
Step-by-step explanation:
Solve the inequality -28n < 7.
Answer:
n > -1/4
Step-by-step explanation:
-28n < 7
Divide by -28 on both sides
-28/-28n < 7/-28
Flip the inequality symbol when dividing by a negative number.
n > -7/28
which simplifies to
n > -1/4
Answer:
n greater than or equal to -1/4
Step-by-step explanation:
A circle has a radius of 11 mm. What is its circumference?
Answer:
≈ 69.08mm
Step-by-step explanation:
The circumference of a circle can be found with the formula:
[tex]C=2$\pi$r[/tex], where r is the radius of the circle.
Let's solve for the circumference.
[tex]2*3.14=6.28[/tex]
[tex]6.28*11=69.08[/tex]
Therefore, the circumference is 69.08
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Simplify to create an equivalent expression.
8-4(-x+5)
Thank you!
How many 1/4 cup servings are in 3 cups of chololate?
Answer:
The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.
Step-by-step explanation:
each 1 cup had four 1/4 cup in them. So 4 times 3 cups is 12.
There are 12 servings of 1/4 cup in 3 cups of chocolate.
The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.
To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.
1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).
2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.
3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups
Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.
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2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. 12.04
Please helppp
Answer:
Choice c, 3.3
Step-by-step explanation:
To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.
can you help me solve for x
Answer:
x = √80
Step-by-step explanation:
Let's find the hypotenuse of the top side triangle.
Using the Pyth. Theorem:
Let y be the hypotenuse of the top side triangle:
2^2 + 4^2 = y^2
y = √20
Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .
Using the Pyth.Theorem again, we can find x:
x^2 + (√20)^2 = 10^2
x = √80 .
What is the surface area of this figure?
Enter your answer in the box.
ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 18 ft and 6 ft. The height of the rectangular prism is labeled 9 ft. The triangular base has an altitude drawn and labeled 8 ft. The sides of the triangle are labeled 10 ft, 10 ft, and 12 ft. The height of the triangular prism is 6 ft.
The total surface area of the figure is 862ft²
How to calculate the surface area of a figureThe composite figure is made up of a pyramid and prism
Surface area of pyramid = 2(13*9) + (10*9) + (10*12)
Surface area of pyramid = 234 + 90 +120
Surface area of pyramid = 444ft²
For the rectangular prism
Surface area = 2(11*9) + 2(10 * 11)
Surface area = 198 + 220
Surface area = 418ft²
Surface area of figure = 444 + 418
Surface area of figure = 862ft²
Hence the total surface area of the figure is 862ft²
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Find the area of the parallelogram ABCD
А
B
12 cm
-10 cm-
C
D
-30 cm
Answer:
I think it is 3600
Step-by-step explanation:
Kristen and Ben are making a poster that is 1 1/3 yard by 2 1/3 yard. What is the area of the poster?
A. 1 1/9 yd2
B. 3 1/9 yd2
C. 1 1/3 yd2
D. 9 1/3 yd2
Answer:
B
Step-by-step explanation:
[tex]1\frac{1}{3}\times2\frac{1}{3}\\= \frac{4}{3}\times\frac{7}{3}\\= \frac{28}{9}\\= \frac{27+1}{9}\\=\frac{27}{9}+\frac{1}{9}\\=3+\frac{1}{9}\\=3\frac{1}{9}[/tex]yd²
If we consider the simple random sampling process as an experiment, the sample mean is a. a random variable. b. always zero. c. exactly equal to the population mean. d. always smaller than the population mean.
The sample mean is an estimate of the population mean.
The sample mean is exactly equal to the population mean
How to determine the true statement
When the population mean is known; the value of the population mean can be used as the sample mean.
This is so because:
The sample mean is an estimate of the population mean.
And it is represented as:
[tex]\bar x = \mu[/tex]
Hence, the true statement is that the sample mean is exactly equal to the population mean
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