Answer:
uch hcufh hcjcjck j j k jcucydh h h jxh b j h h n b b b b j n n n n n n j h h h hcucucuchch h hxj j n h n n n j j b kcufufudydyfufudificn j h jcifif
5c. Solve the differential equations using Laplace transforms
y"+y' - 2y = e-³x, y(0) = 0 and y'(0) = 0
Answer:
[tex]y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]
Step-by-step explanation:
[tex]y''+y'-2y=e^{-3x},\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{e^{-3x}\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{1}{s+3} \\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{1}{s+3}\\ \\(s^2+s-2)Y(s)=\frac{1}{s+3}\\ \\Y(s)=\frac{2}{(s+3)(s^2+s-2)}\\ \\Y(s)=\frac{2}{(s+3)(s+2)(s-1)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{2}{(s+3)(s+2)(s-1)}=\frac{A}{s+3}+\frac{B}{s+2}+\frac{C}{s-1}\\ \\2=(s+2)(s-1)A+(s+3)(s-1)B+(s+2)(s+3)C[/tex]
Solve for each constant
[tex]2=((-2)+2)((-2)-1)A+((-2)+3)((-2)-1)B+((-2)+2)((-2)+3)C\\\\2=-3B\\\\-\frac{2}{3}=B[/tex]
[tex]2=(1+2)(1-1)A+(1+3)(1-1)B+(1+2)(1+3)C\\ \\2=12C\\\\\frac{2}{12}=C\\ \\\frac{1}{6}=C[/tex]
[tex]2=((-3)+2)((-3)-1)A+((-3)+3)((-3)-1)B+((-3)+2)((-3)+3)C\\ \\2=4A\\\\\frac{2}{4}=A\\ \\\frac{1}{2}=A[/tex]
Take the inverse transform and solve for the IVP
[tex]Y(s)=\frac{\frac{1}{2}}{s+3}+\frac{-\frac{2}{3}}{s+2}+\frac{\frac{1}{6}}{s-1}\\\\y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]
Which expression is equivalent to 5( 9 + 7)
Answer:80
Step-by-step explanation: Distribute the 5 to the 9 and 7 to get 35+45 and add to get 80
A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to the nearest tenths place
Answer:
Step-by-step explanation:
Answer: 351.9 cm^3
d = diameter = 8 cm
r = radius = diameter/2 = 4 cm
h = height = 7 cm
volume = (pi)r^2h
volume = (3.14159)(4 cm)^2(7 cm)
volume = 3.14159(16 cm^2)(7 cm)
volume = 351.858 cm^3
Answer: 351.9 cm^3
Answer:
Step-by-step explanation:
Answer: 351.9 cm^3
d = diameter = 8 cm
r = radius = diameter/2 = 4 cm
h = height = 7 cm
volume = (pi)r^2h
volume = (3.14159)(4 cm)^2(7 cm)
volume = 3.14159(16 cm^2)(7 cm)
volume = 351.858 cm^3
Answer: 351.9 cm^3
Rectangle with l = 4f ft, w = 1 ft (show work)
Answer:
if it's 41 and 1 then the answer is 41 but if it's 4 and 1 then the answer is 4
Step-by-step explanation:
you take length times with and so 4 times 1 which is 4 or 41 times 1 which is 41
Solve 3x^3 - 12x = 0 by factoring
Please help me I can’t solve it. Please!!
Answer:
x = 0, 2, -2
Step-by-step explanation:
3x^3 - 12x = 0
3x ( x^2 - 4 ) = 0
3x = 0
x = 0
x^2 - 4 = 0
( x -2 ) ( x + 2 ) = 0
x -2 = 0
x = 2 , x + 2 = 0
x = -2
please help MEEE i need this to be done
Answer:
NO
Step-by-step explanation:
There is an odd number of students so one team would have 7 students while the other would have only 6
Answer:
Step-by-step explanation:
No she can't divide them equally because the total of the both classes is 13 which is an odd number and it is not possible to divide an old number equally.
Hope this helps
How many bags can you purchase with 20$
Answer:
The answer is 3/5=x/20
If you can buy 3 bags for $5 then you can buy 12 bags with $20
Step-by-step explanation:
Basically divide 20 by 5
Then you multiply the answer to 20/5 which is 4 by 3 to get x
Which would be 12
Write an inequality that represents the verbal expression.
3 more than a number tis greater than or equal to 21.
Answer:
3x≥21
Step-by-step explanation:
I am stuck on a question I would like some help with
Answer:
m<3 = 80
Step-by-step explanation:
We know that the sum of all the angles in a triangle is 180.
Thus, we can find the m<3 using the equation 180 - (70 + 30) = m<3
Simplifying gives us m<3 = 80
Answer:
B .80
Step-by-step explanation:
all interior angles in a triangle=180
180-(70+30)
180-100
=80
Find the weight of pure gold in 10 grams of 20 carat. It is given that 24 carat gold is cent-percent pure gold.
Answer:
The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams
hope this is helpful
Answer:
The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.
Step-by-step explanation:
To find : The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold ?
Solution :
The percentage of pure gold in 10 grams can be measured of 24 carat gold.
In fact, this is equal to 100 percentage of pure gold in 10 grams of 1 carat.
The pure gold in 10 grams of 24 carat gold is
\frac{10}{24}\times 100=4.16
24
10
×100=4.16
The pure gold in 10 grams of 20 carat gold is
4.16\times 20=83.334.16×20=83.33
Therefore, The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.
what is the slope of a line that is perpendiculer to y=2/9x+9/2?
Answer:
Step-by-step explanation:
the slope of a line that is perpendicular is -9/2
The following is an excerpt from a paper published in BMJ (formerly the British Medical Journal) in 1994:
Charig et al undertook a historical comparison of success rates in removing kidney stones. Open surgery had a success rate of 78% (273/350) while a minimally invasive procedure called percutaneous nephrolithotomy had a success rate of 83% (289/350), an improvement over the use of open surgery. However, the success rates looked rather different when stone diameter was taken into account. This showed that, for stones of <2 cm, 93% (81/87) of cases of open surgery were successful compared with just 83% (234/270) of cases of percutaneous nephrolithotomy. Likewise, for stones of >/=2 cm, success rates of 73% (192/263) and 69% (55/80) were observed for open surgery and percutaneous nephrolithotomy respectively.
The main reason why the success rate reversed is because the probability of having open surgery or percutaneousnephrolithotomy varied according to the diameter of the stones. In observational (nonrandomized) studiescomparing treatments it is likely that the initial choice of treatment would have been influenced by patients'characteristics such as age or severity of condition; so any difference between treatments could be accounted for bythese original factors. Such a situation may arise when a new treatment is being phased in over time. Randomizedtrials are therefore necessary to demonstrate any treatment effect.
This is an example of Simpson's paradox because:
a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
b. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).
c. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
d. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).
Answer: a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
Step-by-step explanation: Simpson's Paradox happens when a group of data shows a relationship in each group but it is reversed when the group is combined.
In the BMJ paper, percutaneous nephrolithotomy had a bigger successful rate than open surgery. But, the rates are reversed when the diameter (size) of the stone is included in the research. So, an individual group of data had a relationship and a factor reversed the relationship. This is an example of Simpson's Paradox.
Excerpt form the paper in BMJ.
The excerpt is taken from the paper that got published in the british medical journal of 1994. Ths journal was understand for a historical comparison of the success rates in kidney stone removal. As the success rate of the surgery was about 83%.
Hence the answer is lurking variable is introduced, the conclusions are reversed.
As per the excerpt of the Simpsons paradox the such as rate of 78% and minimal invasive procedure called the percutaneous has a success rate of 83% thus better over open surgery.Thus the option A is correct. The variable size of stone and conclusion was the opposite.Learn more about the undertook a historical.
brainly.com/question/12653054.
the price of a 2-pack shopkin should not be more then 4$. choose an inequality for this situation
The required inequality for the price of a 2-pack shopkin should not be more than $4 is ≤ 4.
The price of a 2-pack shopkin should not be more than $4. Inequality in the situation is to be determined.
What is inequality?Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
The price of a 2-pack shopkin should not be more than $4.
Let the price of 2 - pack shopkin is x and it should not be more than $4 it impise the price of 2 pack shopkin canno be set up more than 4 but it could be 4 or less so, Inequality for 4 or less of price of 2 pack shopkin is given by,
x ≤ 4.
Thus, the required inequality for the price of a 2-pack shopkin should not be more than $4 is ≤ 4.
Learn more about inequality here:
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Bananas are 3 for a dollar. Jen has $3. How many bananas can Jen buy?
1 dollar for 3 bananas
so with
3 dollars we will get 3x3 = 9 bananas
If her income is 210 marks, how many bananas can she buy if ... is 4 dollars each and the cost of bananas is 3 dollars per bunch.
Step-by-step explanation:
(5x7) + (5x9) = 5x (7+?
Answer:
9
Step-by-step explanation:
this is because it is 9 and it could be 9
Answer:
First let's find what (5x7) + (5x9) equals;
(5x7) + (5x9)
35 + 45
= 80
Now 80 has to equal to;
5 x (7 + y) ( where 'y' is our unknown number)
So we set up the equation:-
80 = 5 x (7 + y)
80 = 35 + 5y
-35 -35
45 = 5y
/5 /5
9 = y
Let's double check:
80 = 5 x (7 + y)
80 = 5 x (7 + 9)
80 = 35 + 45
80 = 80, we are correct.
Find the value of x that will make A||B
Answer:
x = 20
Step-by-step explanation:
When two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
5x + 20 = 3x + 60
Now subtract 3x form both sides
5x - 3x + 20 = 3x - 3x + 60
2x + 20 = 60
Subtract 20 from both sides
2x + 20 -20 = 60 - 20
2x = 40
Divide both sides by 2
x = 40/2
x = 20
What is the slope of the line on the graph
Answer:
slope = -3
Step-by-step explanation:
slope = -3
Answer:
-1/3
Step-by-step explanation:
we know ,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}- x_{1} }[/tex]Here , m= slope
(x1,y1) , (x2,y2) are point of the slope
[tex]m=\frac{6-2}{-6-6 }[/tex]
or, [tex]m=\frac{4}{-12 }[/tex]
so , m= -1/3
Variables y and x have a proportional relationship, where y = 18 when x = 2.
What is the value of x when y = 36?
Answer:
[tex]\huge\boxed{\sf x = 4}[/tex]
Step-by-step explanation:
Given that:
[tex]y \propto x[/tex]
Converting proportionality into equality
[tex]y = kx[/tex] ----------------(1)
y = 18 when x = 2
Put it in Eq. (1)
[tex]\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}[/tex]
Now,
x = ? when y = 36
Put it in Eq. (1)
[tex]36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}[/tex]
Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been
fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share.
Which equation can be used to find the total change in value of Jabari's shares per month?
A V = (100.-m)+(45.n)
B V = (100-m)+(45.-n)
V = 100(4.-m)+45(4.n)
D V=145(-mºn)
Answer:
Answer is A
(100*-m)+(45*n)
Step-by-step explanation: because stock a decreases per sock so your going to multiply 100 times -m because it is decreasing so it will be negative
Then it will be 45*n because it increase per number of stocks so you multiply 45 which is the number of stocks times n
Step-by-step explanation:
Help pls!! Determine whether each value is greater for function Q, the same for both functions, or greater for function R
The following conclusion about both functions are:
The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).What is a Linear Function?A linear function is modelled as, y = mx + b
b is initial valuem is the rate of change = change in y/change in x.Function Q:
y = 3x - 2
Initial value (b) = -2
Rate of change (m) = 3
Function R:
Initial value = 3
Rate of change = 1/3
Therefore, the following conclusion about both functions can be made:
The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).Learn more about linear functions on:
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Round 47,250 to nearest thousand
Answer:
your answer will be 47000
Answer:
The correct answer is 47,000.
Find the value:
cos -1 ( - √3/2 )
Answer:
The value is undefined.
triangle BCD is a right triangle the length of the hypotenuse is 20 cm the length of one of the legs is 15 cm what is the length of the other leg
Answer:
13.22
Step-by-step explanation:
The eqtn is
hypotenuse^2 = leg^2 + leg^2
20^2 = 15^2 + L^2
400 = 225 + L^2
L^2 = 400 - 225 = 175
L = √175 = 13.22
1 Solve for the variable. 3x + 8 = 44
Answer:
x=12
Step-by-step explanation:
3x12=36
36+8=44
Answer:
x = 12
Step-by-step explanation:
3x + 8 - 8 = 44 - 8
3x = 36
simplify to get 12
which of the following statements is not true about reflections?
a. The image faces the same direction as the pre-image
b. The image is the same shape as the pre-image
c. The image is the same size as the pre-image
d. Points on the pre-image are the same distance from the line of reflection as the corresponding points on the image
Answer:I’m pretty sure it would be A!
Step-by-step explanation:
Answer:
Should be A
Step-by-step explanation:
But it all depends on the mirror
Can someone please answer this it would mean the world to me cause im failing right now
Answer:
Alright, for question 7, the angle pair relationship is that they are corresponding angles.
So, 17x - 34 = 13x - 14. This means that 4x = 20, and x = 5 :)
For question 8, the angles are a linear pair. They are supplementary (adding to 180) :)
So, 37x - 17 + 33x - 13 = 180
This means taht 4x = 210, and x = 52.5? (I'm not sure if I screwed up on the arithmetic on this one, please correct if you find any mistakes!)
B – 4 1/4 = 2 2/3 what is B?
Answer:
83/12
Step-by-step explanation:
To find B, simply add 4 1/4 to 2 2/3.
Hope that helps!
The mixed number 1 2/5 and the decimal number 1.4 can be used to represent the same value.
True or False
social media influence communication
Answer:
what whats the question so I can answer
I need help on this problem
Answer:
D
Step-by-step explanation: