Step-by-step explanation: Since the number P(t) increases proportionally to the number of individuals unaware of the product, we establish that initially, nobody is aware of the product at the campaign's start and that 50% are aware after 50 days of advertisements. Thus, we determine: P(0) = 0 and P(50) = 1,500,000, leading to a first-order ordinary differential equation. The integrating factor must be calculated and both sides of the equation manipulated accordingly. Hence, upon integrating and solving, we arrive at the equation modeling the number of people (in millions) aware of the product over time.
Answer:
The distance separating the two stadiums is nearly 3115.1 meters
Step-by-step explanation:
By creating two right angle triangles formed between the blimp and each stadium, as illustrated in the provided image, the spatial separation "x" can be calculated as the excess length of the ground-level triangle legs.
To calculate the lengths of these legs, the tangent function corresponding to the given depression angles can be applied as follows:
and for the other one:
Therefore, the separation between the stadiums is determined by the calculation:
b - a = 3405.7 - 290.6 meters = 3115.1 meters
Answers:
The vertical asymptote is located at x = 0
The horizontal asymptote is identified as y = 0
The domain encompasses all real nonzero values
The range includes all nonzero real values
EXPLANATIONS
Given the function f(x) = c/x
c represents a non-zero real number
To find the vertical asymptote, we equate the denominator to 0
f(x)=c/x
The denominator is x
Setting x = 0
To establish the horizontal asymptote, we must compare the polynomial degrees in the numerator and denominator.
The numerator contains a polynomial of degree zero
While the denominator has a polynomial of degree one.
<span>
Since the numerator's polynomial degree is less than that of the denominator, the horizontal asymptote is at y=0.</span>
Because the vertical asymptote is x = 0, the domain consists of all real numbers except x = 0
With the horizontal asymptote being y = 0, the range is all real numbers excluding y = 0
Response:
Total individuals Favorable = 5850
Detailed explanation:
Total Individuals = 8000
Company Anticipates those who will respond Favorably = 6000
Percentage Error = 
= 150
Total individuals Favorable = Company Anticipates those who will respond Favorably minus Percent Error
Total individuals Favorable = 6000-150
Total individuals Favorable = 5850.
Zoe gives 7 shells to Dev, leaving her with 48. Dev then has 16 shells in total. Step-by-step explanation: Denote the initial shell count for Dev as A and Zoe’s as B. Based on the scenario where Zoe transfers x shells to Dev while then possessing three times the number of shells relative to him, the resulting references show that Zoe provided 7 shells, leaving her count at 48 while Dev's total became 16.
