Answer:
2. B
3. C
4. B
5. D
Step-by-step explanation:
2) The sequence is multiplying by -2 each time. This means that it is geometric.
The next two terms would be:

This means that the answer is B
3) The sequence is being multiplied by
each time. This means that it is geometric.
The next 3 terms would be:

I am assuming that the answer is C and that you were unable to type the fractions.
4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

Now we can find the first 4 terms

This would mean that the answer is B
5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

Now we can find the first 4 terms

Unless you meant that the ratio was
, the answer is D, none of the above
Answer:
Answer is C
Step-by-step explanation:
Answer:
13 in³
Step-by-step explanation:
This is a skewed pyramid, but that doesn't change the way you find the volume of the figure.
The formula for the volume of a pyramid is 1/3(b)(h)
Multiply 6 by 6.5 to get 39, then divide it by 3 to get 13 in³
Step-by-step explanation:


The question is incomplete, here is the complete question:
The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.
When will there be less than 1 g remaining?
<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.
<u>Step-by-step explanation:</u>
All radioactive decay processes follow first order reaction.
To calculate the rate constant by given half life of the reaction, we use the equation:
where,
= half life period of the reaction = 46 days
k = rate constant = ?
Putting values in above equation, we get:
The formula used to calculate the time period for a first order reaction follows:
where,
k = rate constant =
t = time period = ? days
a = initial concentration of the reactant = 12.6 g
a - x = concentration of reactant left after time 't' = 1 g
Putting values in above equation, we get:
Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.