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Allushta [10]
3 years ago
5

The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

512

Step-by-step explanation:

In a geometric sequence, the ratio between the second term and the first term is equal to the ratio between the third term and the second term.

(m² + 4) / m = 16m / (m² + 4)

Solve:

(m² + 4)² = 16m²

m² + 4 = 4m

m² − 4m + 4 = 0

(m − 2)² = 0

m = 2

The first three terms of the geometric sequence are therefore 2, 8, 32.

The common ratio is 4, and the first term is 2.  So the 5th term is:

a = 2 (4)⁵⁻¹

a = 512

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To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minut
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C - 19 hours 27 minutes

Step-by-step explanation:

180 × 2 = 360

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7000 ÷ 360 = 19.4444...


I hope this helps


4 0
2 years ago
What is the equation in point-slope form for the line parallel to y = 4x – 14 that contains P(–2, –6)?
lord [1]
Point t slope form:
y + y value = m (x + x value) where m is the gradient
Parallel line must have the same gradient as the two lines never meet, so the gradient must be 4. This eliminates option B and D.
Remember that point-slope form is still an equation, so the values of both sides must be equal. So let's substitute the given coordinates.
Option A:
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8 0
3 years ago
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Julia won the race by one hundredth of a second Write the amount of time she won by as a fraction
olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
What's the answer for each to get 30 points!
MAVERICK [17]

Answer:  "greater than" for each of the 4 dropdown menus

======================================================

Explanation:

Divide each value in the table by 40

You should get:

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Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"

-----------

Here's another way to see why this is:

If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.

6 0
3 years ago
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