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3 years ago

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The following spinner will be spun and a coin will be flipped. If Audrey spins the spinner once and flips the coin once, then cr

eate a list that contains only the outcomes in which the spinner lands on an odd number.

1 answer:

Papessa [141]3 years ago

3 0

Answer:

I cant help if there is not a picture of the spinner because I dont know how many sections are there.

Step-by-step explanation:

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Evaluate : limx→ tan2-sin2x x3

GrogVix [38]

Given:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Solve:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Use l'hopital's rule:

$\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}$

Simplify:

$\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}$

Apply the constant multiple rule:

$\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}$ $\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}$

Similary :

$\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}$

8 0

1 year ago

Help pls!!!! And I will give pizza forever!!!

SOVA2 [1]

The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)

number of blue beads in pattern 5 will be 15 ( increasing by 3 )

nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)

nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.

Total beads in pattern 45 is

No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180

Total number of beads in pattern 45 is:-

4 + 2(44) + 3 + 3(44) = 227

7 0

3 years ago

A video rental store has 6,000 movies. One Friday, 3/5 of the movies were rented. How many movies were rented that Friday night?

AleksAgata [21]

6000/ 5 = 1200 x 3 =3600 movies

8 0

4 years ago

Read 2 more answers

A smart-phone plan charges a fixed fee plus the cost of the data. If a plan with 2GB of data costs $75 and one with 5 GB costs $

SSSSS [86.1K]

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

7 0

1 year ago

Question:4x²-9 <br>answer:

statuscvo [17]

Step-by-step explanation:

4x^2-9

=(2x)^2 -3^2

=(2x+3) (2x-3)

Hope this helps you.

3 0

3 years ago