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4 years ago

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Could someone please help?

1 answer:

Klio2033 [76]4 years ago

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Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flow

stepan [7]

He has 3/4 package and plants 1/6 of seeds.

3/4 * 1/6 = 1/8

He divides the rest equally into 10 flowerpots. What is the rest? In order to know what "the rest" is, you must subtract 1/8 from 3/4. Find the common denominator of 4 and 8 which is 8. Multiple the numerator 3 * 2= 6 with a denominator of 8.

3/4 - 1/8 = 6/8 -1/8
= 5/8

5/8 is left to be divided equally into 10 flowerpots.

5/8 ÷ 10/1
= 5/8 * 1/10
= 5/80
= 1/16

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3 years ago

A number is 1/7 of another number the difference of the numbers is 18 (assume that you are subtracting the smaller number from t

Marina86 [1]

Answer:

Step-by-step explanation:

x = y/7

y-x = 18

y - y/7 = 18

(6/7)y = 18

y = 21

x = y/7 = 3

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3 years ago

Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t ≥ 0. Then the integral ℒ{f(t)} = ∞ e−

poizon [28]

$f(t)=\begin{cases}\cos t&\text{for }0\le t$

The Laplace transform is then

$\mathcal L_s\{f(t)\}=\displaystyle\int_0^\infty f(t)e^{-st}\,\mathrm dt=\int_0^\pi e^{-st}\cos t\,\mathrm dt$

Let $I$ denote the integral we want to compute. Integrating by parts, setting

$u=e^{-st}\implies\mathrm du=-se^{-st}\,\mathrm dt$

$\mathrm dv=\cos t\,\mathrm dt\implies v=\sin t$

gives

$\displaystyle I=e^{-st}\sin t\bigg|_{t=0}^{t=\pi}+s\int_0^\pi e^{-st}\sin t\,\mathrm dt$

Integrate by parts again, setting

$u=e^{-st}\implies\mathrm du=-se^{-st}\,\mathrm dt$

$\mathrm dv=\sin t\,\mathrm dt\implies v=-\cos t$

Then

$\displaystyle I=e^{-st}\sin t\bigg|_{t=0}^{t=\pi}+s\left(-e^{-st}\cos t\bigg|_{t=0}^{t=\pi}-s\int_0^\pi e^{-st}\cos t\,\mathrm dt\right)$

$I=e^{-st}(\sin t-s\cos t)\bigg|_{t=0}^{t=\pi}-s^2I$

$(s^2+1)I=s(e^{-\pi s}+1)$

$I=\dfrac s{s^2+1}(e^{-\pi s}+1)$

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4 years ago

Jasmine drives every morning to her office that is 12 miles from her home.

Maksim231197 [3]

Answer:

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Step-by-step explanation:

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4 years ago

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gladu [14]

Sorry Fam I Tried Hope You Get The Answr Your Looking For!

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4 years ago

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