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3 years ago

The formula d = rt. Find how long it takes an airplane to fly 375 at 500 miles per hour

Mathematics

1 answer:

8090 [49]3 years ago

8 0

375=500t 375/500=t 0.75=t

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A= 1/2 h (m+n) solve for n

melisa1 [442]

Answer:

2hms+2hns

Step-by-step explanation:

3 0

3 years ago

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

Find the area. A. 188 in.2 B. 278 in.2 C. 322 in.2 D. 250.5 in.2

agasfer [191]

A 188 inches .2 Because you have to run them all to the nearest five

8 0

3 years ago

4 0ver 6 + 5 0ver 12

Elis [28]

Answer:

1.083

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!! EASY MATH 25 PTS

Harman [31]

its not worth 25 points but ok here u go let's solve your equation step-by-step.

3y−1=13−4y

Step 1: Simplify both sides of the equation.

3y−1=13−4y

3y+−1=13+−4y

3y−1=−4y+13

Step 2: Add 4y to both sides.

3y−1+4y=−4y+13+4y

7y−1=13

Step 3: Add 1 to both sides.

7y−1+1=13+1

7y=14

Step 4: Divide both sides by 7.

y=2

Answer:

y=2 so there your answer is this equation has one solution your welcome

4 0

3 years ago

Read 2 more answers