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EleoNora [17]
3 years ago
7

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

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P= 2.5m + 35    (replace p with 115)
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80/2.5= 2.5m/2.5
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Answer:

B, D, D, B, C

Step-by-step explanation:

1) The part of the equation that tells us the graph would open downward would be B, the negative coefficient of x^{2}.

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2) To find the zeroes of this function, we just have to see which answer makes the function, well, zero.

We have the equation y = (-16t - 2) (t - 1)

We set the equation equal to zero like this:

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0 = (-16t - 2) and 0 = (t - 1)

Now we just solve for t in both equations:

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So our answer will be D.

3) This time, we are given the same equation but the variable t represents time and y represents the height.

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4) We are given the same equation and story problem, but instead we are asked to find the height when the ball was thrown. In other words, we need to find the y-intercept.

The y-intercept is when t = 0, so:

y = (-16t - 2) (t - 1)

y = (-16(0) - 2) (0 - 1)

y = (-2) (-1)

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3 years ago
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

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We have given,

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A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

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z=\frac{x-\mu}{\sigma}

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\sigma=\frac{5}{1.08}

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The standard deviation of weight for this species of cockroaches is 4.62.

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