must a function that is decreasing over a given interval always be negative over that same interval explain

The Pythagorean theorem is a foundational principle. Given that 2 and 5 represent the lengths of the legs while c denotes the hypotenuse, the relevant equation would be stated as such, corresponding to the first option.

Answer:

Step-by-step explanation:

We start with the fact that

The formula for simple interest is represented by

where:

I denotes the Final Interest Value

P indicates the Principal amount to be invested

r specifies the interest rate

t refers to the Number of Time Periods

For this scenario, we have

We can substitute these values into the formula mentioned above

Next, we solve for t

Convert to a percentage format

Let:
Lala represented as l
Polina represented as P
Goffy represented as G
The ratio for them is 6:5:3
Given that Polina's loudness measures 420 decibels, the total loudness can be computed as follows:
Total ratio=6+5+3=14
Thus, total loudness will be:
14/5×420
=1,176 decibels 

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

t signifies the time

denotes the half-life

Since the charcoal was found to contain less than 1/1000 of the typical amount of ​.

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