Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, <u>3768 inches</u> of gold trim is required (Ans)
Answer:
Number A. is True. B. is False. C. is IDK D. is False. E. is true.
Step-by-step explanation:
If you read it you can tell plus I broke it down and solved it on paper.
The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.
The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.
The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.
Answer:
x < -4 or x > 8
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Step-by-step explanation:
l -4 +2x l -3 > 9
l -4 +2x l > 12
l 2x - 4 l > 12
2x - 4 > 12
2x > 16
x > 8
-2x + 4 > 12
-2x > 8
x < -4
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
