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Anastaziya [24]
3 years ago
13

What decimal number does point A on the number line below represent? −0.75 0.75 −1.25 1.25

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

-1.75

Step-by-step explanation:

Point A is in between - 1 and -2

This interval is split in 4 equal parts and has 3 marker points.

<u>Point A is on the bottom marker point, which indicates:</u>

  • -1 * 3/4 = - 3/4 = - 0.75

<u>Since it is below -1, we add up - 1 and - 0.75:</u>

  • - 1 + (-0.75) = - 1.75

<u>Point A represents: </u>-1.75 on the number line

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Answer:

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Barbara's cumulative gross earnings for the year up through her last pay date amount to 55000.

As per attached table this amount falls in 4% region ($50001 - $70000).

<u>Her tax per current pay period is:</u>

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6 0
3 years ago
If
Leno4ka [110]

Answer:

\frac{s^2-25}{(s^2+25)^2}

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given:\mathcal{L}[t \cos 5t]=(-1)F'(s) with F(s)=\mathcal{L}[\cos 5t].

Now, F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt.

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s).

Solving for F(s) on the last equation, F(s)=\frac{s}{s^2+25}, then the Laplace transform we were searching is -F'(s)=\frac{s^2-25}{(s^2+25)^2}

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Step-by-step explanation:

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Step-by-step explanation:

Since r and -5r both have the same variable, we can combine them

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