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maw [93]
3 years ago
5

What number between 30 and 40 has only one and itself as factors?

Mathematics
1 answer:
ANEK [815]3 years ago
8 0
The numbers between 30 and 40 whose only factors are one and themselves, also called prime numbers, are 31 and 37.<span> Prime numbers are useful in generating numerical passwords or codes that are difficult to crack. so A) is the answer
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The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the
gavmur [86]

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

4 0
3 years ago
A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on
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Answer: The probability that the number made up of the first two digits on the clock is less than 25 is 1.

Step-by-step explanation:

The probability of an event is a number which describe the chances of the event will happen.

We know that on digital clock, the first two digits always show as number less that 25.

Therefore, the event that the number made up of the first two digits on the clock is less than 25 is certain.  [Since An event that is certain to happen has a probability of 1.]

Hence, the probability that the number made up of the first two digits on the clock is less than 25 is 1.

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There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,

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how ever many pounds it is multiply 16 by the number of pounds,

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8y-6( add the variables together then add 8 to negative 14
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