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Mathematics

1 answer:

makvit [3.9K]2 years ago

7 0

Answer:

Step-by-step explanation:

Given that the starting population is 150 wolves, let the time when there will 25 wolves left be x, then

The increase in the number of wolves due to births is given by 150(1 + 0.15)^t = 150(1.15)^t

The decrease in the number of wolves due to dirths is given by 150(1 - 0.37)^t = 150(0.63)^t.

The number of wolves at time t is given by 150(1.15)^t - 150(0.63)^t = 150((1.15)^t - (0.63)^t).

Therefore, the function that could be used to predict when there will be 25 wolves in this group is 150((1.15)^t - (0.63)^t) = 25. (option D).

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Find the common difference of the following sequence.

Darya [45]

You have the correct answer. It is choice B) -1/4

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Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

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To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

3 0

3 years ago

Saved

nadezda [96]

The answer is 3 because the mean of the numbers on both of them are 3
Hope it helped:)

4 0

3 years ago

Describe the graph of of the equation x = -2. Is the equation a function?

Cloud [144]

In the event that a line has no y-intercept, that implies it never converges the y-intercept, so it must be parallel to the y-intercept. This implies it is a vertical line, for example, . This slant of this line is vague. In the event that the line has no x-intercept, at that point it never meets the x-intercept, so it must be parallel to the x-pivot.

If x-intercept is -2 the line would be vertical as the y-intercept = 0.