Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
Amplitude is 3
Horizantal Shift 3 units to the left
Vertical Shift of 2 units up
Domain is [-1,1]
Range is [-1,5]
Answer:
zeros : -3/2 , multiplicity = 1
1 , multiplicity = 2
Step-by-step explanation:

To find zeros we set each factor =0 and solve for x
2x+3 =0
subtract 3 on both sides
2x= -3
divide by 2 on both sides
x= -3/2
The exponent of (2x+3) is 1 so multiplicity =1
Now we set (x-1)^2 =0
take square root on both sides
x-1 =0
add 1 on both sides
x=1
For (x-1)^2 the exponent is 2
So multiplicity = 2
Answer:
Step-by-step explanation:
quora.com/A-bag-contains-5-black-marbles-7-blue-marbles-3-green-marbles-4-red-marbles-and-1-white-marble-A-marble-is-selected-and-then-replaced-and-a-second-marble-is-chosen-What-is-the-probability-of-selecting-a-black-marble
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n=9
Step-by-step explanation:
6^10 = 60466176
6^-4 0.00077160493
60466176 x 0.00077160493 = 46655.9994998
, which is the numerator
6^-5 = 0.00012860082
6^2 = 36
0.00012860082 x 36 = 0.00462962952
46655.9994998 / 0.00462962952 = 10077696
6^9 = 10077696
Therefore, n=9