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2 years ago

it takes josh 40 minutes yo walk the dog it takes mike 80% as long to walk the dog how long does it take mike to walk dog

Mathematics

2 answers:

Katarina [22]2 years ago

7 0

Answer:

32 minutes

Step-by-step explanation:

80% = .80

40 * .80 = 32

sineoko [7]2 years ago

3 0

32 minutes is the answer to this question

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Solve the given initial-value problem. x' = 1 2 0 1 − 1 2 x, x(0) = 2 7

Ilia_Sergeevich [38]

I'll go out on a limb and guess the system is

$\mathbf x'=\begin{bmatrix}\frac12&0\\1&-\frac12\end{bmatrix}\mathbf x$

with initial condition $\mathbf x(0)=\begin{bmatrix}2&7\end{bmatrix}^\top$ . The coefficient matrix has eigenvalues $\lambda$ such that

$\begin{vmatrix}\frac12-\lambda&0\\1&-\frac12-\lambda\end{vmatrix}=\lambda^2-\dfrac14=0\implies\lambda=\pm\dfrac12$

The corresponding eigenvectors $\eta$ are such that

$\lambda=\dfrac12\implies\begin{bmatrix}\frac12-\frac12&0\\1&-\frac12-\frac12\end{bmatrix}\eta=\begin{bmatrix}0&0\\1&-1\end{bmatrix}\eta=\begin{bmatrix}0\\0\end{bmatrix}$
$\implies\eta=\begin{bmatrix}1\\1\end{bmatrix}$

$\lambda=-\dfrac12\implies\begin{bmatrix}\frac12+\frac12&0\\1&-\frac12+\frac12\end{bmatrix}\eta=\begin{bmatrix}1&0\\1&0\end{bmatrix}\eta=\begin{bmatrix}0\\0\end{bmatrix}$
$\implies\eta=\begin{bmatrix}0\\1\end{bmatrix}$

So the characteristic solution to the ODE system is

$\mathbf x(t)=C_1\begin{bmatrix}1\\1\end{bmatrix}e^{t/2}+C_2\begin{bmatrix}0\\1\end{bmatrix}e^{-t/2}$

When $t=0$ , we have

$\begin{bmatrix}2\\7\end{bmatrix}=C_1\begin{bmatrix}1\\1\end{bmatrix}+C_2\begin{bmatrix}0\\1\end{bmatrix}=\begin{bmatrix}C_1\\C_1+C_2\end{bmatrix}$

from which it follows that $C_1=2$ and $C_2=5$ , making the particular solution to the IVP

$\mathbf x(t)=2\begin{bmatrix}1\\1\end{bmatrix}e^{t/2}+5\begin{bmatrix}0\\1\end{bmatrix}e^{-t/2}$

$\mathbf x(t)=\begin{bmatrix}2e^{t/2}\\2e^{t/2}+5e^{-t/2}\end{bmatrix}$

5 0

4 years ago

Need help don’t know what to do I’m confused

dimaraw [331]

Answer:

Cheese

Step-by-step explanation:

7 0

3 years ago

The total length of the stage is 76 feet. An actor starts at point A then stops at point B before disappearing through the trap

Sidana [21]

Answer:

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door

a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

Step-by-step explanation:

brainly.com/question/4710320?referrer=searchResults

7 0

3 years ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 27 miles at a speed of 9 mph, while

sveticcg [70]

Answer:

D- 3 hours long they were traveling

Step-by-step explanation:

27÷ 9= 3

36÷ 12= 3

7 0

3 years ago

What is the percent of decrease from 25 to 15? Round your answer to the nearest tenth.

Dahasolnce [82]

Answer: 60%

Step-by-step explanation:

25=100%

50%=12.5

10%=2.5

12.5(50%) +2.5(10%)= 50%(15)

so the answer is 60%

7 0

2 years ago