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2 years ago

15

(100 POINTS) Amanda, Lisa, and Raquel together sold 54 tickets for the school play. Amanda sold 22 tickets and Lisa sold 14 tick

ets. How many tickets did Raquel sell? Options: A-36, B-32, C-18, D-8

2 answers:

stepan [7]2 years ago

6 0

Question 1. Raquel sold 18 tickets since if you do 54-22-14 you would get 18

(c)

nasty-shy [4]2 years ago

4 0

Raquel sold 18 tickets also my name is Amanda

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I will give Brainliest and thanks to the correct answer. Solve the questions.

sesenic [268]

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2 years ago

Samantha's wrapping a holiday gift she cut an 18 inch piece of wrapping paper from a roll that was 3 yards long how much wrappin

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3 years ago

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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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2 years ago

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P 2500
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3 years ago

What is the graph of the system y = −2x + 3 and 2x + 4y = 8? <br><br> Select one:

zhuklara [117]

y = -2x + 3....slope = -2, y int = 3

2x + 4y = 8
4y = -2x + 8
y = -1/2x + 2....slope is -1/2, y int is 2

this is graph C

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2 years ago

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