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Andreyy89
2 years ago
10

What is the next term of the geometric sequence? −128/27,32/9,−8/3,?

Mathematics
2 answers:
padilas [110]2 years ago
8 0

Answer:

2 on kahn acamdey

Step-by-step explanation:

Rudik [331]2 years ago
4 0

2

Step-by-step explanation:

common ratio(r)=-3/4

a2÷a1=r

32/9÷-128/27=-3/4

therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4

which equals = 2

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For a certain​ drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1
Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0
2 years ago
647.2 + 12.88 how to answer that step by step
IgorC [24]

Answer:

660.08

Step-by-step explanation:

1. first you will need to line up the decimals and make sure the places are correct

 647.2

+   12.88

2. Then you just add them

4 0
2 years ago
Natalie drove 150 miles on 5 gallons of gas. How far can she drive on 14 gallons of gas?
bagirrra123 [75]

Answer:

420

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which is the area of a circle with a radius of 5 units? (use 3.14 for ) A. 15.7 square units B. 31.4 square units C. 78.5 square
sattari [20]

Answer:

C

Step-by-step explanation:

A = \pir²

so we do

5² = 25 * \pi

25 * \pi

= 78.5 square units

6 0
3 years ago
Need help with math problem if do get 5 star
11Alexandr11 [23.1K]
<h3><u>Answer</u><u>:</u></h3>

  • The point ( 22 , 23 ) lies in Ist quadrant

<h3><u>Explanation</u><u>:</u></h3>

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2 years ago
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