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Leya [2.2K]
3 years ago
6

Pls help! will give brainlist!

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer: B. 1/6

Step-by-step explanation:

1/2 + 1/3 = 2/12 = 1/6

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It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?<br> pls what is this
Blababa [14]

It takes Andre 1.25 minutes to swim a lap.

Step-by-step explanation:

7 0
2 years ago
Is it ever possible that cos (A−B)=cos ⁡A−cos ⁡B? Why
svetlana [45]

Answer:

  yes, there are an infinite number of solutions

Step-by-step explanation:

The attached graph shows values of A and B (x and y) that can make this equation be true. Any of the points on any of the curves will satisfy the equation. (The repetition continues indefinitely in all directions.)

8 0
3 years ago
Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2
Basile [38]

The Laplace transform of the given initial-value problem

y' 5y = e^{4t}, y(0) = 2 is  mathematically given as

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is  mathematically given as

&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}

\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}

put $s=-s \Rightarrow a_{1}=\frac{17}{9}$

\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}

In conclusion, Taking inverse Laplace tranoform

L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

Read more about Laplace tranoform

brainly.com/question/14487937

#SPJ4

6 0
1 year ago
Which expressions are equivalent to the one below? Check all that apply.
Paraphin [41]

Answer:

log (1/3)

Step-by-step explanation:

log  \: 2 - log \: 6 \\  \\  = log \frac{2}{6}  \\  \\  = log \frac{1}{3}

5 0
2 years ago
The radius and height of a cone are 8 cm and 15 cm respectively find its curved surface are
drek231 [11]

Answer:

Curved surface area of a cone =πrl.

3.142×8×15=377.04cm

8 0
2 years ago
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