All categories

3 years ago

Choose all the sets containing the number Pi:

2 answers:

6 0

Irrational numbers and Real numbers are the only categories Pi falls in. Its not an integer so it cannot be natural, whole, or an integer, and it cannot be both rational and irrational, and since it goes on indefinitely it isnt rational

NARA [144]3 years ago

4 0

Answer:

The set containing Pi is:

Irrational numbers.

Real numbers.

Step-by-step explanation:

We have to classify the number "pi" or π.

We know that:

Pi is the ratio of a circumference of a circle to it's diameter.

Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.

However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.

Hence, we may classify Pi as:

Irrational number.

Also irrational number comes in the category of real numbers.

Hence, Pi is also a real number.

( As real numbers are divided into two category:

1. Rational number

2. Irrational number

Also Rational number contains whole numbers, integers and whole numbers)

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Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.

Jobisdone [24]

Answer:

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

Step-by-step explanation:

We have the function, $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

It is clear that the parent function is $g(x)=\cos x$ .

So, we see that,

The amplitude of the function f(x) is $\frac{1}{4}$ , which gives, $\cos x => \frac{1}{4}\cos x$ .

Also, g(x) is translated $\frac{\pi}{3}$ units to the left, which gives, $\frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3})$ .

Further, the function is translated 1 unit downward, resulting in $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

So, the correct options are,

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

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3 years ago

How many ways are there to distribute 5 identical apples and 6 identical pears to 3 distinct people such that each person has at

Nady [450]

Answer:

961

Step-by-step explanation:

5 apples and 6 pears are to be distributed among 3 different people.

the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147

If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people

= 3^6 - 3

= 729 -3 = 726

Secondly calculate the number of ways 5 apples could be distributed among 3 people

3^5 = 243

Total = 726 + 243

= 961 ways

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Answer: D. 3/2

Step-by-step explanation:

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