Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial amount of bacteria = 50000
- Growth rate = 2 times a day
<u>Required equation:</u>
<u>Solve for x:</u>
- 400000 = 50000*2^x
- 2^x = 400000/50000
- 2^x = 8
- 2^x = 2^3
- x = 3
After 3 days bacteria numbers will reach 400000
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

And divide both sides by four:

So, the slope of the first basketball is -3/4.
The second basketball is modeled by:

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

And divide both sides by negative eight:

So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Answer:
non mutually exclusive event
Step-by-step explanation:
im not sure on this tho
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
Answer:
TheaterMania, basically you are getting more popcorn for $1, thats how did it.