It is provided that

We need to determine t when d equals 74
Thus,
or


t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t cannot be negative.
Thus, t equals 2
Therefore, it will require 2 seconds for the object to cover 74 feet.
Answer:
(B) There is a single solution: x = 0.
Step-by-step explanation:
The equation that Kate is attempting to solve is: 

Consequently, this equation results in one solution: x = 0.
Imagine having a pile of pennies and you want to determine if the count is odd or even without tallying them one by one. You can separate them into pairs by placing one coin in the left pile and one in the right.
If no coin is left unmatched, then the total number is even; if there is one coin remaining unpaired, the number is odd.
The answer is twelve ten thousands. To find how many ten thousands are in 120,000, we recognize that ten thousand equals 10,000. Dividing 120,000 by 10,000 yields 12, meaning there are twelve ten thousands in 120,000. I hope this is helpful, and let me know if you need more assistance!
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