Answers
Related Questions
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. t2 (dy/dt) + y2 = ty
Answers
Answer:
Step-by-step explanation:
[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]
[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]
[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]
[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]
[tex]Let \ v = \dfrac{1}{y}[/tex]
[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]\text{replace in equation (1); we have}[/tex]
[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]
[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]
[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]
[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]
[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]
[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]
[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]
[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]
[tex]vt = \int \dfrac{1}{t}dt + C[/tex]
[tex]vt = Int+C[/tex]
[tex]v = \dfrac{In \ t + C}{t}[/tex]
[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]
[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]
[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]
Pat finds that the length of a ceiling beam is 114 inches what is the length of the beam in feet.
how to work it out in a problem
Answers
Answer:
farted farted fartedfarted
Answer
Step-by-step explanation:
A road is 3/5
of a mile long. A crew needs to repave 3/7
of the road. How long is the section that needs to be repaved?
Write your answer is simplest form.
Answers
Answer:
9/35
Step-by-step explanation:
3/5 x 3/7
five and three sixths minus two and one third
Answers
Answer:
19/6
Step-by-step explanation:
5 3/6 - 2 1/3 = 19/6
No it's not is 67 and 23
Answers
Answer:
What?
Step-by-step explanation:
I don't understand.
In this rectangle the base is 1 cm more than the hight
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Answer:
the equation is base = height + 1
The legend on a map states that 1 inch
is 250 miles. If you measure 3 inches
on the map, how many miles would
the actual distance be?
Answers
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90
During the current month the company started and finished Job A319. The following data were recorded for this job:
Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​
Answers
Answer:
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order
An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.
Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.
Answers
Answer:
Step-by-step explanation:
a.
Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.
b.
Rachel: average - 1st deviation
Kenji: average - 0.25 standard deviation
Nedda: slower than average so it's definitely not her.
Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,
So, Rachel is the faster one.
Solve for t.
45 = 5t + 45
Answer:
Submit Answer
Answers
Answer:
0
Step-by-step explanation:
45=5t+45
-45=-45
0=5t
/5
0=t
Hope this helped :)
Answer:
T=0
Step-by-step explanation:
Subtract 45 from both sides and then simplify then divide bith sides of the equation by the same term
I need some help please !
Answers
Answer:
With what?
Step-by-step explanation:
HELP ASAP PLS SHOW WORK
Answers
Answer:
42
dnndndndndndnd
dndndndndj
Can someone help me with a two step equatio that is x=2
Answers
Ms. Jones is making the yearbook. She has 7 pages with 153 photos on each
page. How many photos are there in the whole yearbook?
Answers
Answer:
1,071
Step-by-step explanation:
7 × 153 = 1071
plese follow me
Please please give answer for this question
Answers
Answer:
The remaining piece measures 16 m
which agrees with answer D
Step-by-step explanation:
In order to make a square of area 25 m^2, we need a square of side 5 m ,
Area of square = side^2
25 = side^2 then each side = 5 m
therefore the person needed 4 times 5 m to create the square, that is 20 m for the square. Therefore the piece that is left can be calculated with the difference:
36 m - 20 m = 16 m
The remaining piece measures 16 m
The function f is defined by f(x) = x + 3 / 4x - 5 . Find f(x+3).
Answers
Answer:
x+6 / 4x-5
Step-by-step explanation:
T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?
Answers
Answer:
$106.56
Step-by-step explanation:
discounted price of each shirt is $12
12 x 8 = $96 for 8 shirt
96 x 1.11 = $106.56
need help with this tricky question. thanks
Answers
Answer:
E
Step-by-step explanation:
GF is 6 so GE is 3
this is one of the pythagorean triples
which is 3,4,5
since there is already 3 and 5, length HE is 4
The factors of x² and x and x - 5.
A. True
B. False
Answers
A.True
True hai
mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga
Hope this helps :)
Cuanto es la rais cuadrada del rectángulo entre dos y multiplicada por 1837
Answers
14,696
buen dia
(lo siento)
hello help me please
Answers
Answer:
Step-by-step explanation:
divide each by 2 and see if you can get a proper fraction
Consider the first four terms of the sequence below.
1, -1/2, 1/4, -1/8, ...
What is the 8th term of this sequence?
A. -1/256
B. 1/128
C. -1/128
D. 1/256
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Answer:
the answer is C.-1/128......
If x=9 in what is the surface area of the geometric shape formed by this net?
Answers
Answer:
1134 in²Step-by-step explanation:
Surface area is:
x²*2 + 3x*x*4 = 14x²Substitute x:
14x² = 14*9² = 1134 in²What is the slope of y = -x + 7?
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Answer:
The slope is -1
choose the right multiplacation equation that is correct A.16x6=22 B.16x6=636 C.16x6=96 D.16x6=123
Answers
Answer:
C. 16 · 6 = 96
Step-by-step explanation:
16 · 6 = 96, therefore option C is the correct choice :)
Answer:
The right multiplication equation that is correct is (C.16×6=96)
Hace 9 meses que no llueve cual es el número entero
Answers
hnAnswer:
gjunn
Step-by-step explanation:
Answer:
en un menos de 9 meses
ya que es desmunusion es de 0
Write an expression to represent “7 less than 6 times a number n.”
Answers
Answer:
7 < 6n
Step-by-step explanation:
Answer:
6n-7
Step-by-step explanation:
7 Less = -7
6 x n = 6n
Combine an expression we get 6n - 7
Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how old is Jennie to which Jennie replied “In two years I will be twice as old as I was three years ago”. How old is Jennie?
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Help!! Find the area of the triangle.
Answers
Answer:
Area = 60.0 units²
Step-by-step explanation:
First, let's find the height of the triangle using Pythagorean Theorem:
Height = √(11² - 8²)
= √57
Height = 7.5 (nearest tenth)
✔️Find the area:
Area = ½*base*height
Base = 2*8 = 16
Height = 7.5
Plug in the values
Area = ½*16*7.5
Area = 60.0 units² (nearest tenth)
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answers
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
____
1x6
Do that and ur answer