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3 years ago

2sin^2 2x=2 In the domain [0, 2pi)

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

Please type this as 2(sin 2x)^2=2 2sin^2 2x=2 is confusing.

Reducing this expression: (sin 2x)^2 = 1

Taking the sqrt of both sides, sin 2x = plus or minus 1

If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.

Now you do this for sin 2x = -1.

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What is the value of the 20th term in this sequence? f(n)=6n−18

babunello [35]

The value of the 20th term in this sequence will be 102

Since we are given f(n)=6n−18.

In this case, we have been given n to be 20. Therefore, f(n)=6n−18 will then be written as:

f(n)=6n−18

f(20) = 6(20) - 18

f(20) = 120 - 18

f(20) = 102

In conclusion, value of the 20th term in this sequence will be 102

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3 years ago

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Andrews [41]

Answer:

OPTION B

Step-by-step explanation:

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3 years ago

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polet [3.4K]

Answer:

Step-by-step explanation:

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3 years ago

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In-s [12.5K]

To combine like terms and single out one term to take it easier to solve, the 6x was moved to the other side to combine like terms.
Subtracting 6x from 10x which is 4x

8 0

3 years ago

If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha

TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.03.

$P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95$

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

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3 years ago