In a recent text message survey, 4,000 randomly selected teenagers were asked to cite their favorite Florida college football te

Answer:

The term 6x should actually be 6x²

Step-by-step-explanation:

The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.

To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:

3x*x² = 3x³

3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)

3x*4 = 12x

2*x²=2x²

2*2x = 4x

2*4 = 8

Thus, the term 6x should indeed be corrected to 6x²

During an archaeological excavation, an ancient campfire is uncovered. The charcoal is determined to have significantly less than 1/1000 of the standard amount of ​. Calculate the minimal age of the charcoal, taking into account that

Response:

57300 years

Step-by-step breakdown:

Using the relationship of half-life time against fraction, which can be expressed as:

In this context,

N indicates the current atom

represents the initial atom

denotes the half-life

Thus;

However; the objective is to estimate the minimum age of the charcoal while noting  

this means , then:

If

Then

Consequently, it can be estimated that the minimum time elapsed is 10 half-lives.

For , the standard half-life time is 5730 years

Thus, the estimation of the minimum age of the charcoal is  5730 years × 10

= 57300 years