The number of the specimens would be in the culture after 5 minutes will be 7,962.62.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
A bacteria culture grows at a rate of 20% per minute.
If the culture initially has 3,200 bacteria specimens.
Then the equation will be
y = 3200 (1 + 0.2) ˣ
y = 3200 (1.20) ˣ
Then the number of the specimens would be in the culture after 5 minutes will be
y = 3200 (1.20)⁵
y = 7962.62
More about the exponent link is given below.
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14+5= 19; 19-8=11. the hotel elevator is now on the 11th floor
Answer:
12t -3 = 18t
Step-by-step explanation:
Let
d = your friends distance in miles
t = time in hrs
Your equation:
d - 3 = 18t (1)
Because you are 3 miles behind your friend
Your Friend's equation:
d = 12t (2)
To find the amount of time t it takes for you to catch up with your friend,
Substitute (2) into (1)
d - 3 = 18t
12t - 3 = 18t
Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t
Solving the equation
12t - 3 = 18t
Collect like terms
12t - 18t = 3
-6t = 3
t = 3/-6
= -0.5
t = 1/2 hour
Time can not be negative, therefore it will take 1/2 an hour to catch up with your friend
Answer:
Step-by-step explanation:
Using the distributive property to expand, we have
Squaring each term, we have
The mistake was that 
not 
Using the fact that the right answer would be
.
Answer:
9/4
Step-by-step explanation:
see image
2/3 is 2 × 1/3.
We can separate the exponent into 1/3 power raised to the 2nd power. 1/3 power is the same as cube root.
27 and 8 are both perfect cubes. 3^3 and 2^3.
Thats how you go from 27/8 to 3/2.
Then square it.
see image.
