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2 years ago

5

A certain colony of bacteria triples in length every 10 minutes, its length is now 1 millimeter. How long will it be in 40 minut

es?

1 answer:

Law Incorporation [45]2 years ago

3 0

Answer:

81 mm

Step-by-step explanation:

Now: 1 mm

In 10 minutes: 3 * 1 mm = 3 mm

In 20 minutes: 3 * 3 mm = 9 mm

In 30 minutes: 3 * 9 mm = 27 mm

In 40 minutes: 3 * 27 mm = 81 mm

Answer: 81 mm

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The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

--------------

Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

7 0

2 years ago

Please help I’ll mark you as brainliest if correct!

Pavlova-9 [17]

Answer:

3 ways

36÷6=6

36÷2=18

36÷3=12

maybe if not then 2 or 4

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1 year ago

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Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need

mel-nik [20]

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

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2 years ago

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GEOMETRY: TANGENTS, SECANTS, AND CHORDS<br> can someone solve this with written work?

Dmitry [639]

Through a geometric proof, 2(55x-1) = 107x+1
110x-2=107x+1
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3 years ago

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Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

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I (interest) = $ 376.18

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3 years ago