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Drupady [299]
2 years ago
13

The expression 18a-12 factored is

Mathematics
1 answer:
AlekseyPX2 years ago
5 0

Answer:

6(3a-2)

Step-by-step explanation: Both terms have a 6. Factor that our

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What is the probability of choosing a diamond card out a regular deck of 52?
bazaltina [42]
There are 13 diamonds in a regular deck of cards.

So the probability of picking a diamond card is 13/52.
3 0
3 years ago
Read 2 more answers
Arrange the list of numbers in increasing order.. . 2/5, 4/9, 3/7
Allushta [10]
The numbers given in the question are 2/5, 4/9 and 3/7. We have to take them to decimal form for arranging the numbers in increasing order.
2/5 = 0.40
4/9 = 0.44
3/7 = 0.43
Then, the increasing order of the numbers would be 
2/5 < 3/7 < 4/9
I hope the answer has helped you.
6 0
3 years ago
Divide using a common factor of 3 to find an equivalent fraction for
fgiga [73]
3/12 = (3÷3)/(12÷3) = 1/4
4 0
2 years ago
A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte
kotykmax [81]

Answer:

  1. P(t) = 400×2^(t/2)
  2. 6400
  3. 5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0
3 years ago
Let f(x)=8secx. Then f′′(π/9)
Ahat [919]

f(x)=secx.

f'(x)=sec x tan x.

Use the product rule to find f ' '(x).

F ' '(x)=(secxtanx)tanx+secx(sec2x).

So, f ' '(x)=secxtan2x+sec3x.

Evaluate:f ' '(π4)=sec(π4)tan2(π4)+sec3(π4)=(√2)(1)2+(√2)3=√2+2√2=3√2.

7 0
2 years ago
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