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Dima020 [189]
3 years ago
6

Does a geometric series always have a finite value?

SAT
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

Yes.

Explanation:

A geometric series has a finite value only when the common ratio, r, is – 1. What is the sum of infinite series? An infinite series has an infinite number of terms. The sum of the first n terms, Sn, is called a partial sum.

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What is the difference between a primary and secondary group brainly
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Primary school is grades k-6 (or k-5 in some cases) and secondary school is grades 7-12 (or 6-12 in some cases).
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3 years ago
the height of a bottle rocket, in meters, is given by the function s(t)=−9t2+103t+403. find the average velocity of the bottle r
zaharov [31]

The average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

The given parameters;

  • s(t) = -9t² + 103t + 403
  • time interval (4.499, 4.5), and (4.5, 4.501)

The average velocity of the bottle rocket over the intervals is calculated as follows;

when the interval = [<em>4.499, 4.5</em>]

s(4.499)= -9(4.499)^2  + 103(4.499) + 403 = 684.22 \ m\\\\s(4.5) =  -9(4.5)^2  + 103(4.5) + 403 = 684.25 \ m

v = \frac{\Delta \ s}{\Delta \ t} = \frac{684.25 - 684.22}{4.5 - 4.499} = 30 \ m/s

when the interval = [<em>4.5, 4.501</em>]

s(4.5) = -9(4.5)^2 + 103(4.5) + 403 = 684.25 \ m\\\\s(4.501) = -9(4.501)^2 + 103(4.501) + 403 =684.27 \ m\\\\v= \frac{684.27 - 684.25}{4.501-4.5} \\\\v = 20 \ m/s

The instantaneous velocity of the bottle rocket at time t=4.5;

v = \frac{d \ s(t)}{dt} = -18t + 103\\\\v(4.5) = -18(4.5) + 103\\\\v(4.5) = 22 \ m/s

Thus, the average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

Learn more here: brainly.com/question/25009886

7 0
2 years ago
Which of the following are the characteristics of a warm front with the type of front? choose all that apply.
OleMash [197]

Answer:

The weather of this front may bring drizzly rain.

A mass of warm air replaces a mass of cold air in this type of front

Warm or more humid air presses forward in this front; cold or drier air draws back.

Explanation:

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3 years ago
Which statements describe processes involved in the accretion of planetesimals and protoplanets? Check all that apply.
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You didn’t include the options. “Check all that apply” but you didn’t list anything
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