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ExtremeBDS [4]
3 years ago
13

Solve for x in the given interval.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

7pi/2

Step-by-step explanation:

Given the expression cosec x = -1

I'm trigonometry csecx = 1/sinx

The equation becomes

1/sin(x) = -1

Sinx = -1

x = arcsin(-1)

x = -90°

x is negative in the third and 4th interval

Third interval;

x = 180+90

x = 270°

x = 3pi/2

Since the angle should be within 3pi < x < 4pi

Add 2pi to the angle

x = 2pi+ 3pi/2

x = 7pi/2

Hence the required angle is 7pi/2

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(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

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(f o g)(4) = f(g(4))


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Replacing g(4)=11

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4 0
3 years ago
Read 2 more answers
A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m
Len [333]

Answer: 0.500

Step-by-step explanation:

Given : A normal distribution has a mean(\mu) of 10 and a standard deviation(\sigma) of 1.

Let x be a random variable that represents numbers .

The probability of selecting a number that is at most 10 will be

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As the area occupied by standard normal curve less than equal to 0 = 0.500

So, required probability = 0.500

3 0
2 years ago
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