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))
Represent the following expressions as a power of the number a (a≠0):
((a^2)^−2)^5÷(a^15)
Answer:
=0
Step-by-step explanation:
consider the following formula used to estimate the height ,h, of a seedling after w weeks since planting:
Answer:
B
Step-by-step explanation:
solve for W
subtract 8/5 from both sides
then multiply by 5
hope this was helpful
Order 2/3,2/9,5/6,11/18 from least to greatest
Answer: 2/9, 11/18, 2/3, 5/6
Step-by-step explanation:
2/3 = 0.6666...
2/9 = 0.2222...
5/6 = 0.8333...
11/18 = 0.61111...
Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week. How much did Joseph earn his first two weeks?
Explore:
Plan:
Solve:
Examine:
Answer:
$115
Step-by-step explanation:
Because the add does that like answer
I wait that you understand
rewrite in simplest radical form 1 . show each step of your process.
—
-3/6
Answer:
what is this russian math?
Step-by-step explanation:
Which equation represents a linear function?
2xy +y=9
y= 124 – 5
3y + x2 + x = 0
4x + 2 (y - 1) = 0
The revenue, in thousands of dollars, of a new flavor of liquor is given below as function of the number of gallons (in hundreds), x, sold:
[tex]r(x) = 50x - {x}^{2} [/tex]
What is the maximum revenue? Use units
Answer:
$625,000
Step-by-step explanation:
The maximum revenue will be found where the derivative of the revenue function is zero.
r'(x) = 50 -2x = 0
50 = 2x
x = 25
When 2500 gallons are sold, the revenue is ...
r(25) = 50(25) -25(25) = (50 -25)(25) = 25(25) = 625 . . . thousands
The maximum revenue is $625,000.
Pl ease help what is with give brainlist answer!
-5/6+6/18
1.-1/2
2.12/49
3.-1 and 1/6
4.12
Answer:
option 1 is true. -1/2=-0.5
Answer:
-1/2
Step-by-step explanation:
-5/6 + 6/18
Simplify the second fraction by dividing the top and bottom by 3 ( then we will have like denominators)
-5/6 + 2/6
Combine the numerators since the denominators are the same
-3/6
Divide the top and bottom by 3
-1/2
Two flower seeds are randomly selected from a package that contains 8 seeds for red flowers and 9 seeds for white flowers. (Give your answer correct to three decimal places.)
(a) What is the probability that both seeds will result in red flowers?
Incorrect: Your answer is incorrect.
(b) What is the probability that one of each color is selected?
(c) What is the probability that both seeds are for white flowers?
Using the hypergeometric distribution, it is found that the probabilities are given as follows:
a) 0.2059 = 20.59%.
b) 0.5294 = 52.94%.
c) 0.2647 = 26.47%.
What is the hypergeometric distribution formula?
The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the parameters are as follows: N = 17, k = 8, n = 2.
Item a:
This probbility is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,17,2,2) = \frac{C_{8,2}C_{9,0}}{C_{17,2}} = 0.2059[/tex]
Item b:
This probbility is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,17,2,2) = \frac{C_{8,1}C_{9,1}}{C_{17,2}} = 0.5294[/tex]
Item c:
This probbility is P(X = 0), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,17,2,2) = \frac{C_{8,0}C_{9,2}}{C_{17,2}} = 0.2647[/tex]
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
1. What is the difference between a line and a line segment?
A. A line is a figure formed by two opposite rays with a shared endpoint, a line segment is a part of
a line that extends forever in one direction.
B. A line is a specific location that is represented by a dot, a line segment is a specific location
represented by two dots.
C. Aline is a portion of a line consisting of two points and all the points between them, and a line
segment is a figure formed by two opposite rays.
D. Aline is a figure formed by two opposite rays and a shared endpoint, and a line segment is a
portion of a line consisting of two points and all the points between them.
Explanation:
Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.
A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.
can you help me for this m.c.m is of 10, 3 and 90.
Gracias (Thaks youuuuuuuuuuuuuuuuu)
Answer:
AR 27-10 supplements the MCM and is the ... available. The installation Trial Defense Service office will provide a military lawyer. If the. 3-1 ... away or assaulting you, enlist others to help.
9. Which of the following could be the areas of
the three squares below?
A. 12 ft?, 16 ft2 and 28 ft2
B. 8 f1?, 16 ft2 and 24 ft2
C. Both A and B
D. Neither A nor B
Answer:
The Answer can be A. 12ft2 ,16ft2 and 28 ft2
as well as B. 8ft2,16ft2 and 24ft2
a(2)+b(2)=c(2) a(2)+b(2)=c(2)
12+16=28 8 +16=24
Your answer is C.Both A and B
Hope you have a great day!
Simplify:
22 - 3 × 6 + 52
A.
38
B.
139
C.
29
D.
65
Answer:
22 - 3 × 6 + 52 = 56
Step-by-step explanation:
Multiply
3×6 = 18
22-18+52
Add and subtract
22-18 = 4
4+52 = 46
Answer:
56
Step-by-step explanation:
To solve we must use the order of operations which is PEMDAS.
P-Parenthesis
E-Exponents
M-Multiplication
D-Division
A-Addition
and S-Subtraction
First we multiply -3 and 6 which gives us -18. So our equation is now 22-18+52.
Next we do addition. -18+52 is 34, plus 22 gives us 56.
Hope this helps :)
Dennis is saving up for a new video game console that costs $250. He already has $100. if he makes $10 per hour
nowing lawns, how many hours does he need to work in order to buy the console?
What is the equation and answer
Answer:
15 hours
Step-by-step explanation:
Step 1. $250-$100=$150
Step 2. $150÷$10=15 hours
To check answer:
$10x15(hours)=$150
$150+$100=$250
Answer:
15 hours
Explanation:
So start by taking 100 away from 250, to get 150. now divide 150 by 10. 15
1/5(12b+5) for b = 5/6
Answer:
3
Step-by-step explanation:
eq.
1/5(12×5/6+5)
=1/5×(10+5)
=1/5×15
=3
Answer:
3
Step-by-step explanation:
100$ Per Assignment
Anyone interested to do my assignments? I can pay 100$ per assignments. URGENT NEED
Answer:
which class
Step-by-step explanation:
which class are you in and which subject do u want
complete the square to make a perfect square trinomial. Write the result as a binomial square. a^2-20a
Answer:
(a-10)^2 = 10^2
Step-by-step explanation:
a^2-20a=0
a^2-20a+100=100
(a-10)^2=100
1/4 x 2/5 express your awnser in simplest form.
Answer:
1/4*2/5=(1*2)/(4*5)
= 2/ 20
= 1/10
So 1/4* 2/5=1/10
Answer:
1/10
Step-by-step explanation:
1)Draw the fractions.
2) Since you are basically dividing, divide 2
into 4 and your answer should be 2, cross
out 2 and put I because 2 into 2 goes one time,
and cross out 4 and put 2 because 2 into 4 goes 2 times
3) Multiply from across and you will get your answer
The thickness of photoresist applied towafers in a semiconductor manufacturing at a particular location onthe wafer is uniformly distributed between 0.2050 and 0.2150micrometers.(a) Determine the cumulative distributionfunction of photoresist thickness.(b) Determine the proportion of wafers that exceeds0.2125 micrometers in photoresist thickness.(c) What thickness is exceeded by 10% of thewafers?(d) Determine the mean and variance of photoresistthickness.
Answer:
a
[tex]f(x)= 100 [x - 0.2050][/tex]
b
[tex]P(X > 0.2125) = 0.25 [/tex]
c
[tex]a = 0.2140[/tex]
d
Mean [tex]\mu = 0.21[/tex]
Variance [tex]\sigma ^2 = 0.0000083 [/tex]
Step-by-step explanation:
From the question we are told that
The thickness of photoresist follows a uniform distribution
So
[tex]X\ \~{}\ U \{ 0.2050 , 0.2150 \}[/tex]
Generally the probability density function is mathematically represented as
[tex]F(x) = \left \{ \frac{1}{ 0.2150 - 02050} , 0.2150< x < 0.2150[/tex]
=> [tex]F(x) = \left \{ 100 , 0.2150< x < 0.2150[/tex]
Generally the cumulative distribution function is
[tex]f(x) = \int\limits^{x}_{- \infty} {F(x)} \, dx[/tex]
Here [tex]- \infty[/tex] means the lower limit which in this case is 02050
So
[tex]f(x) = \int\limits^{x}_{0.2050} {100} \, dx[/tex]
[tex]f(x) = 100 \int\limits^{x}_{0.2050} {1} \, dx[/tex]
=> [tex] f(x)=100 [ x ] | \left \ x} \atop {0.2050}} \right.[/tex]
=> [tex]f(x)= 100 [x - 0.2050][/tex]
Generally the proportion of wafers that exceeds 0.2125 is mathematically represented as
[tex]P(X > 0.2125) = 1 - F(0.2125)[/tex]
=> [tex]P(X > 0.2125) = 1- 100[0.2125 - 0.2050][/tex]
=> [tex]P(X > 0.2125) = 0.25 [/tex]
Generally the thickness which is exceeded by 10% of the wafers is mathematically represented as
[tex]P(X > a ) = 0.10[/tex]
=> [tex]1 - F(a) = 0.10[/tex]
=> [tex]1 -100 (a - 0.2050) = 0.10[/tex]
=> [tex]100(a -0.2050) = 0.90[/tex]
=> [tex]a - 0.2050 = 0.009[/tex]
=> [tex]a = 0.2140[/tex]
Generally the mean is mathematically represented as
[tex]\mu = \frac{ 0.2050 -0.2150 }{2}[/tex]
=> [tex]\mu = 0.21[/tex]
Generally the variance is mathematically represented as
[tex]\sigma ^2 = \frac{1}{12} [0.2150 - 0.2050]^2[/tex]
=> [tex]\sigma ^2 = 0.0000083 [/tex]
Elizabeth ran 6 miles in 51 minutes. Assuming she always runs at that pace, how many miles can she run in 30 minutes? Round to the nearest tenth
Answer: 3.5 Miles
Step-by-step explanation: It would take her 8.5 min to run one mile because 51/6 is 8.5. Then I divided 30 by 8.5 to get 3.52, which is rounded to 3.5 miles in 30 min
Hope this helps :)
Find the union of A = {2,3,4} and B = {3,4,5)
Answer:
A U B = {2,3,4, 5}
Step-by-step explanation:
Union means join together
A U B = {2,3,4, 5}
the roots of a polynomial equation are 0, 5, and -2. what is the equation written in a factored form and in standard form?
Answer:
Check the pic
A clothing manufacturer would like to determine whether celebrity endorsements and length of commercial influence a customer's decision to buy its products. In order to estimate this potential influence, the manufacturer premieres its latest series of commercials privately to potential buyers. There are two types of commercials: commercials without celebrities, and commercials with celebrities. There are two lengths of commercials: 30 seconds and 60 seconds. Each potential buyer is randomly assigned a type and length of commercial to view. What are the factors of interest to the manufacturer
Answer:
The correct response will be "whether or not the viewer will buy the product".
Step-by-step explanation:
To consider its clients, the manufacturer requires conducting this research, but the only element of interest would be to figure out whether or not the consumer purchases the product after seeing the ad. The response variable or perhaps the predictor variables determine "not if the audience can buy the advertisement" as well as "whether another advertisement becomes 30 or 60 seconds" including "not when the commercial involves a brand personality" have become the explanatory variables or even just the relationship between the independent variable.Suppose you were to create a scatter plot of the data for speed and distance traveled. Would you expect to see a
positive, negative, or no relationship betwen the two variables. Explain your answer.
a. negative relationship, as the speed decreases, the distance increases.
b. positive relationship, as the speed decreases, the distance increases.
c. positive relationship, as the speed increases, the distance increases
d. no relationship.
Answer: its c. positive relationship; as the speed decreases, the distance increases.
Step-by-step explanation:
If you can do all three questions I’ll mark you brainlest!! Thanks <3
Answer:
1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.
2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.
3. 70 minutes
Step-by-step explanation:
1. Set up a ratio
3white/2blue = xwhite/6blue
3/2 = x/6
cross multiply 2x = 18; x = 9
rate needed = 9/6
Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_
2. 3/1.5 = x/6
1.5x = 18; x = 12
rate needed = 12/6
unit rate = 2/1
3. Set up a ratio.
3.5/.25 ( 1/4=.25)
3.5/.25 = x/5
.25x = 3.5(5)
.25x = 17.5
x = 70 minutes
Answer:
1) Rate: 3/2
Unit Rate: 1.5/1
Interpretation: Every 1 can of blue paint used requires 1.5 cans of white
paint
Solution: 9
mark bought 10 movie tickets for $120. how much will it to buy one ticket
12 tickets --
120/10= 12
Answer:
$12
Step-by-step explanation:
well 12 * 10 = 120 so 12 is 1 ticket
Which of the following is parallel to the equation of the following equation 3 x + 2 y = 10 and goes through the point (4, 10)?
Answer:
y=(-3/2)x+16
Step-by-step explanation:
Kate wants to buy a new bicycle from a sporting goods stores the bicycle she wants normally sells for $440 the store has a sale? where all bicycle cost 3/4 of the regular price what is the sale price of the bicycle …
Given parameters:
Normal selling price off the bicycle = $440
Discount fraction = [tex]\frac{3}{4}[/tex]
Unknown:
Sale price of the bicycle = ?
Solution:
The discounted sale price of the bicycle;
= normal selling price x discount fraction
Input the parameters and solve;
Discounted sale price of the bicycle =[tex]\frac{3}{4}[/tex] x 440
= 3 x 110
= $330
The discounted sale price of the bicycle is $330
What's 5x5+6x3-1
Me brain is no working, please help
Answer:
42
Step-by-step explanation:
5*5+6*3-1
25+6*3-1
25+18-1
43-1
=42
I hope this helped, please give me Brainliest if it did. :)
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 2cm. The chocolate used in the bon-bons has a density of 1.31 g/cm^3. If the chocolate
used costs $0.06 per gram, how much would the chocolate for 140 bon-bons cost, to
the nearest cent?
We will get the mass of each chocolate sphere, and the cost of 140 of these is $368.56
How much would it cost?
A sphere of radius R has a volume:
V = (4/3)*3.14*R^3
The mass of a sphere of chocolate will be given by the volume times the density, then one ball of chocolate has a mass:
M = (4/3)*3.14*(2cm)^3*(1.31 g/cm^3) = 43.88 g
And we know that the cost is of $0.06 per gram, the cost for 140 of these spheres is:
cost = 140*(44.88 g)*$0.06 = $368.56
If you want to learn more about density, you can read:
https://brainly.com/question/1354972