Answer:
what is the question?
Step-by-step explanation:
Answer:
3 cm
Step-by-step explanation:
(Given)
(Given)
- Formula for
is given as:
- Length of radius can not negative
Hope it helps you in your learning process.
first function 2nd function
slope =(y2-y1)/(x2-x1) slope =(y2-y1)/(x2-x1)
=(14-2)/(3-0) m = (-3--12/(3-0)
12/3 m=(-3+12)/3
4 m =9/3 =3
y = 4x+2 y = 3x+-12
set these two equations equal
4x+2 = 3x-12
subtract 3x
x+2 = -12
subtract 2 from each side
x = -14
y = 3x-12
y =3*(-14)-12
y = -42-12
y = -54
ChoiceD
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
#SPJ1
The slope of this line is -1/6.
2 Point: (6,2) (-6,6)
x₁ y₁ x₂ y₂
Remember:
rise change in y y₂ - y₁ 6 - 2 4
---------- = ------------------- = ------------- = ----------- = ----------
run change in x x₂ - x₁ -6 - 6 -12
Simplify 4/-12
4 ÷ 4 1
------- = ------------- = -1/3
-12 ÷ 4 -3
The slope of the line is -1/3.
