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2 years ago

12

Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number gre

ater than 2? HELP!
5/6

1/6

2/3

1/2

1 answer:

vladimir2022 [97]2 years ago

8 0

Answer:

5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

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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

Evaluate the following function for f(4). F(x)=2x-12

ozzi

F(x)= 2(4)-12
F(x)= 8-12
-4 is the answer

4 0

2 years ago

Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot

allsm [11]

Answer:

10 19/10 meters

Step-by-step explanation:

Step one:

given data

let the amount of string used for the soccer field be x

and the amount used for coach spot be y

Also, let the total string used be represented as T

Step two:

Hence the expression for the total is

T= x+y

T= 9 1/2+ 2 2/5

T= 9.5+ 2.4

T= 11.9

or

T= 119/10 meters

or

T= 10 19/10 meters

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2 years ago

mr king is considering a new job. he and his wife sit down and create a list of their monthly expenses, as shown below. which of

koban [17]

Answer:

you didn't include a picture.

Step-by-step explanation:

if you want to include a picture I can try to help you

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1 year ago

HELP I will mark brainliest

MakcuM [25]

No, they are not similar, because one is 55 degrees and the other is 36 degrees

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2 years ago