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2 years ago

Watch it and tell me what u think

Mathematics

2 answers:

vesna_86 [32]2 years ago

3 0

Answer:

watch wut bro???????????

harina [27]2 years ago

3 0

Theres nothing to watch loll

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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

8 0

3 years ago

Read 2 more answers

C(a + b)- d = f, for a

Galina-37 [17]

Hopes this helps you out

3 0

3 years ago

Read 2 more answers

Kianna and three friends went out to dinner together. The total bill was $58.49. If they each agreed to pay an equal share of th

jonny [76]

Answer: $15.00 per person.
______________________________
Explanation:
______________________________
Given that there are "4 people" (that is, "Kianna and three friends");
____________________________________________________
and a total of "$58.49" ; to be divided equally among 4 (four) people;
______________________________
we are asked to estimate the amount that EACH person will pay.
______________________________
For an ESTIMATE, $58.49 is ABOUT $60.00; or "60 dollars". ;

and (60 dollars) / 4 = 15 dollars {$15; or $15.00}.

60/4 = 15; or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
________________________________________________

3 0

3 years ago

How do you simplify each expression 3-5w+12+2w-3

Wittaler [7]

3-5w+12+2w-3
(3+12-3)=12
(-5w+2w)=-3w
-3w+12

5 0

2 years ago

Given: AD = BC and AD || BC

bearhunter [10]

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA = $360^{0}$ (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

4 0

3 years ago