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dimulka [17.4K]
3 years ago
7

What is the next term in the series -27,-18,-12,-8,...?

Mathematics
2 answers:
kherson [118]3 years ago
7 0
The next term in the series is 5 1/3.



The geometric ratio is 2/3. To find r you when to divide f(2) by f(1) and then you get 2/3. Then you use a formula called the explicit rule which is f(n)=f(1) • r^n-1.

Plug in the numbers. f(5)=-27•(2/3)^4

Then you get 5 1/3.
vlada-n [284]3 years ago
3 0

Answer:

We have - 18 / - 27 = 2 / 3;

- 12 / - 18 = 2 / 3;

-8 / - 12 = 2 / 3;

Then, x / - 8 = 2 / 3 ;

Finally, x = - 16 / 3;

The next terms in that series is - 16 / 3 .

Step-by-step explanation:


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Is it true that an irrational and a rational number is always a rational number
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Answer:

no

Step-by-step explanation:

6 0
3 years ago
Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies
Bas_tet [7]

Answer: C, D, and E

Step-by-step explanation:

200-122=78 remaining

A: 7*11.75= 82.25

B: 10*11.75= 117.50

C: 9*6.80=61.20

D: 11*6.80=74.80

E: 70*1.10=77.00

F: 71*1.10=78.10

Only C, D and E are below the dollars remaining in the budget.

5 0
3 years ago
A planet has a circular orbit around a star. It is a distance of 81,000,000 km from the centre of the star. It orbits at an aver
slava [35]

81,000,000 \text{ km} \left(\frac{1 \text{ h}}{46,000 \text{ km}} \right) =\frac{40500}{23} \text{ h} \\ \\ \frac{40500}{23} \text{ h} \left(\frac{1 \text{ days}}{24 \text{ hours}} \right) \approx \boxed{73 \text{ days}}

5 0
2 years ago
The cells of a bacteria doubles in every 15 minutes. A scientist begins with a single cell. How many cells will be there after (
Anastaziya [24]

Step-by-step explanation:

Given that:-

  • 1 cell = 15 minutes

So, we can concert 15 minutes to hours.

So,

60 minutes = 1 hour

1 minute = 1/60

15 minutes =

\frac{15}{60}  = 0.25 \: hrs

Okay, now we will apply first for 0.4 hours.

0.25  \: hrs= 1 \: cell

1 \: hr =  \frac{1}{0.25}

0.4 \: hrs =  \frac{0.4}{0.25}

= 1.6 \: cells

= 16  \times  {10}^{ - 1} \: cells

Now, second one:-

10 \: hrs =  \frac{10}{0.25}

= 40 \: cells

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Hope it helps :D

6 0
3 years ago
EasyElectrics supermarket orders light bulbs from suppliers, AA Electronics and AAA Electronics. EasyElectrics purchases 30% of
saw5 [17]

Answer: (a) 0.006

               (b) 0.027

Step-by-step explanation:

Given : P(AA) = 0.3 and P(AAA) = 0.70

Let event that a bulb is defective be denoted by D and not defective be D';

Conditional probabilities given are :

P(D/AA) = 0.02 and P(D/AAA) = 0.03

Thus P(D'/AA) = 1 - 0.02 = 0.98

and P(D'/AAA) = 1 - 0.03 = 0.97

(a) P(bulb from AA and defective) = P ( AA and D)

                                                       = P(AA) x P(D/AA)

                                                       = 0.3 x 0.02 = 0.006

(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)

                         = P(AA) x P(D/AA) + P(AAA) x P(D/AAA)

                         = 0.3(0.02) + 0.70(0.03)

                         = 0.027

3 0
3 years ago
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