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stira [4]
3 years ago
13

1 13/20 as a percentage​

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer: 565%

Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
Help please easy math question
Rus_ich [418]

Answer:

4.8m

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Emilia lost $4,000 in personal belongings due to a flood at her apartment complex. Fortunately, she had renter’s insurance with
docker41 [41]
She would receive $3500 maximum.

Since she has $10,000 in coverage, the entire $4000 loss is covered.  However, the insurance company would only pay her the amount after the deductible has been taken:

4000 - 500 = 3500
3 0
3 years ago
How can 6.75 + (-10.25) be expressed as the sum of its integer and decimal part
attashe74 [19]
There you go please brainliest thanks!

4 0
3 years ago
25
Elodia [21]

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33

3 0
2 years ago
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