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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8 0

3 years ago

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip

DochEvi [55]

Answer:

The expression that represents the population of elk is: $\text{elk}(t) = 2*3^t$ . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at $\text{elk}(0) = 2$ , then after the first year the population will be:

$\text{elk}(1) = \text{elk}(0)*3 = 2*3$

While on the second year, it'll be:

$\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2$

On the third year:

$\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3$

And so on, therefore the expression that describes the population of elk as the years passes is:

$\text{elk}(t) = 2*3^t$

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

$1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6$

The population will reach 1,458 elk in 6 years.

8 0

3 years ago

The length of a rectangular garden is 7ft more than the width. The perimeter is 50 ft. Find the width.

Vilka [71]

<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

<em>Hope this helps, here is the answer please mark Brainliest.</em>

8 0

3 years ago