![▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪](https://tex.z-dn.net/?f=%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%20%20%7B%5Chuge%5Cmathfrak%7BAnswer%7D%7D%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA)
The given equation is :
1. The relationship such that dependent variable (y) is isolated is :
2. The table accompanying this equation :
3. graph of the given equation is in attachment ~
It would take about 57 hours for the number of spores to be less than 500 spores.
<h3>
Exponential Function</h3>
An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y is the number of pores after x hours.
a = 6200, b = 100% - 20% = 0.8, hence to be less than 500 spores:
![6200(0.8)^\frac{x}{5} < 500](https://tex.z-dn.net/?f=6200%280.8%29%5E%5Cfrac%7Bx%7D%7B5%7D%20%3C%20500)
(x/5) * ln(0.8) < ln(0.08)
x > 56.4 hours
It would take about 57 hours for the number of spores to be less than 500 spores.
Find out more on Exponential Function at: brainly.com/question/12940982
17 is a prime number so the simplest form is 17/100
Answer:
<h2>D</h2>
Step-by-step explanation:
The dimensions of the portrait are attached.
The total area of the portrait is represented by its width 5+x and its length x+1.
We know by definition that the area of a rectangle is
![A= w \times l](https://tex.z-dn.net/?f=A%3D%20w%20%5Ctimes%20l)
Where
is the width and
is the length.
Using the given expressiones, we have
![A=(5+x)(x+1)=5x+5+x^{2} +x=x^{2} +6x+5](https://tex.z-dn.net/?f=A%3D%285%2Bx%29%28x%2B1%29%3D5x%2B5%2Bx%5E%7B2%7D%20%2Bx%3Dx%5E%7B2%7D%20%2B6x%2B5)
Therefore, the right answer is D.