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3 years ago

Let n be a prime number. Which of the following statements CAN be true?

Mathematics

2 answers:

Katarina [22]3 years ago

6 0

Answer:

B. n is even

Step-by-step explanation:

Prime numbers are numbers divisible by only 1 and itself without a remainder. Examples of prime numbers are 2,5,7,11,13,17,19,23,29,31,37,41,43,47,51,53,57,59,etc

Prime numbers from the example above are not perfect squares. Perfect square numbers are 4,9,16,25,36 etc.

Prime factor (n) cannot also be an irrational or negative answers neither can it be divisible by 4 based on the examples given above.

2 is the only even prime number, so, n is even.

ANEK [815]3 years ago

3 0

Answer:

The correct option is B.

n is even

Step-by-step explanation:

Given that n is a prime number. We are required to check which of the following statements CAN be true.

But first, we should know what prime numbers are. They are numbers whose only factors are 1 and itself. Examples are: 2, 3, 5, 7, 11, and so on.

A. n is a perfect square

This is NOT true, a prime number cannot be a square number.

B. n is even

YES. 2 is in this category, and it is a prime number.

C. n is irrational

Prime numbers include only integers, and irrational numbers are no integers.

D. n is negative

Negative numbers are excluded

E. n is divisible by 4

This is also not included. A prime number is only divisible by 1 and itself.

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3 years ago

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iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function $h(t)=-4.9t^2+6t+50$

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

$0=-4.9t^2+6t+50$

Switch sides, we get;

$-4.9t^2+6t+50=0$

Let us solve the equation using the quadratic formula.

Thus, we get;

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Simplifying, we get;

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$t=\frac{-6 \pm \sqrt{1016}}{-9.8}$

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The values of t are given by

$t=\frac{-6 + 31.87}{-9.8}$ and $t=\frac{-6 - 31.87}{-9.8}$

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