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3 years ago

Could someone please check the Answer to my Math problem, Thank you.

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Y=6 looks good to me hope you get an A

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How many l sounds are in the word snake

Alex

s n a ke =4 they are only 4 sound in snake when you sound it out

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3 years ago

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Find the laplace transform of f(t) = cosh kt = (e kt + e −kt)/2

iren2701 [21]

Hello there, hope I can help!

I assume you mean $L\left\{\frac{ekt+e-kt}{2}\right\}$
With that, let's begin

$\frac{ekt+e-kt}{2}=\frac{ekt}{2}+\frac{e}{2}-\frac{kt}{2} \ \textgreater \ L\left\{\frac{ekt}{2}-\frac{kt}{2}+\frac{e}{2}\right\}$

$\mathrm{Use\:the\:linearity\:property\:of\:Laplace\:Transform}$
$\mathrm{For\:functions\:}f\left(t\right),\:g\left(t\right)\mathrm{\:and\:constants\:}a,\:b$
$L\left\{a\cdot f\left(t\right)+b\cdot g\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}+b\cdot L\left\{g\left(t\right)\right\}$
$\frac{ek}{2}L\left\{t\right\}+L\left\{\frac{e}{2}\right\}-\frac{k}{2}L\left\{t\right\}$

$L\left\{t\right\} \ \textgreater \ \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{t\right\}=\frac{1}{s^2} \ \textgreater \ L\left\{t\right\}=\frac{1}{s^2}$

$L\left\{\frac{e}{2}\right\} \ \textgreater \ \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{a\right\}=\frac{a}{s} \ \textgreater \ L\left\{\frac{e}{2}\right\}=\frac{\frac{e}{2}}{s} \ \textgreater \ \frac{e}{2s}$

$\frac{ek}{2}\cdot \frac{1}{s^2}+\frac{e}{2s}-\frac{k}{2}\cdot \frac{1}{s^2}$

$\frac{ek}{2}\cdot \frac{1}{s^2} \ \textgreater \ \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \ \frac{ek\cdot \:1}{2s^2} \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a$
$\frac{ek}{2s^2}$

$\frac{k}{2}\cdot \frac{1}{s^2} \ \textgreater \ \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \ \frac{k\cdot \:1}{2s^2} \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a$
$\frac{k}{2s^2}$

$\frac{ek}{2s^2}+\frac{e}{2s}-\frac{k}{2s^2}$

Hope this helps!

3 0

4 years ago

Solve similar triangles (advanced)

Reil [10]

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

$\frac{9}{3} =\frac{15}{x}$

$x=\frac{(15)(3)}{9} =\frac{45}{9} =5$

hope this helps

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2 years ago

The function f(t)=3,502.86(1.15)(t−12) models the amount of money in Gavin's investment account after t years. Gavin says this m

IRINA_888 [86]

Answer: C.Yes, because 3,502.86 is multiplied by the exponential term.

Step-by-step explanation:

3502.86 is the capital

1.15 is the interest

While ( t - 12 ) tells us about the period of time.

And f(t) is the amount of money in Gavin's investment account after t years

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3 years ago

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X + 2y = 3<br> 5x + 3y = 8

Lerok [7]

X + 2y = 3 Solve the Equation
- 2y -2y
x = 3 - 2y

5x + 3y = 8
5(3 - 2y) + 3y = 8 Substitute x

15 - 10y + 3y = 8 Combine Like Terms
15 - 7y = 8
-15 -15
-7y = -7
Divide 7 from y (Do on both sides)

y = 1

x = 3 - 2(1) Substitute y
x = 3 - 2

x = 1

(X, Y) = (1, 1)

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3 years ago