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3 years ago

Identify the independent variable in this situation:

1 answer:

3 0

The amount you sleep at night

This is independent because the energy you have during the day relies on how much you have slept

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Express 54 as a product of its prime factor

Vadim26 [7]

54 = 2 × 3 × 3 × 3 ( as a product of its prime factor ).

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3 years ago

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Simplify this expression 7x+7 (3x+9)-6

lesya692 [45]

I think it would be 10x + 16 - 6

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3 years ago

What is the messure of ABC

PolarNik [594]

B. would be your answer, 118

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3 years ago

What is the factored form of the polynomial? X^2 -12+27?

Natali5045456 [20]

Answer:

(x-9)(x-3)

Step-by-step explanation:

Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)

Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).

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3 years ago

Model Exponential Growth Question :A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10

Iteru [2.4K]

Answer:

The number of bacteria $B$ after $d$ days is given by

$B = B_0 (3)^{\frac{1}{10} d}$

where $B_0$ is the initial number of bacteria.

Step-by-step explanation:

The number of bacteria $B$ in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is

$B = B_0 *3,$

where $B_0$ is the initial number of bacteria in the sample.

After the 2nd 10th days, the number of bacteria is

$B = (B_0 *3)*3$

after the 3rd day,

$B =( B_0 *3*3)*3$

and so on.

Thus, the formula we get for the number of bacteria after the nth 10-days is

$B = B_0 (3)^n$

where $n$ is is the nth 10-days.

Since, $n$ is 10 days, we have

$d =10n$

$n =\dfrac{1}{10}$

Substituting that into $B = B_0 (3)^n$ , we get:

$\boxed{ B = B_0 (3)^{\frac{1}{10} d}}$

8 0

3 years ago