While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it take for 3,000 bacteria to reduce to 375? It takes minutes for the number of bacteria to reduce from 3,000 to 375.
Answers
Tn=a₁r^(n-1)
In this case:
Tn=a₁r^n
Because:
T₁ corresponds to 0 minutes ⇒T₁=3000(1/2)⁰=3000
T₂ corresponds to 1 minute ⇒ T²=3000(1/2)¹=1500 ...
Tn=375
a₁=3000
r=1/2
n=number of minutes
Therefore:
375=3000*(1/2)^n
375/3000=(1/2)^n
0.125=(1/2)^n
Ln 0.125=ln [(1/2)^n]
Ln 0.125=n Ln(1/2)
Ln 0.125=n [Ln1-Ln2]
Ln 0.125=n[0-Ln 2]
n=Ln 0.125 / (-Ln2)
n=3
answer: 3 minutes.
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b. 250 cm
c. 0.000025 cm
d. 2500 cm
Answers
Answer:
The answer is A.25000
Step-by-step explanation:
In order for kilometers to centimeters you need to mover the decimal place to the right 5 times. When you do that 0.25 becomes 25000.
24 inches, 2 feet
10 feet, 120 inches
3 miles, 15,480 feet
Answers
1 yard = 3 feet
1 foot = 12 inches
1 mile = 5280 feet
8 yards = 8 * 3 feet = 24 feet
2 feet = 2 * 12 inches = 24 inches
10 feet = 10 * 12 inches = 120 inches
3 miles = 3 * 5280 feet = 15,840 feet
Not equivalent: 3 miles, 15,480 feet.
Final answer:
The pair of measurements that is not equivalent is 3 miles and 15,480 feet. The equivalence of measurements relies on the correct conversion factors. The correct conversion of 3 miles is 15,840 feet, not 15,480 feet.
Explanation:
The pair of measurements that is not equivalent is 3 miles and 15,480 feet. The equivalence of measurements depends on the correct conversion factors.
It's proven as follows: one foot equals 12 inches, so 24 inches is equal to 2 feet; one yard equals 3 feet, so 8 yards is equal to 24 feet; one foot equals 12 inches, so 120 inches is equal to 10 feet. However, one mile equals 5,280 feet, so 3 miles equals 15,840 feet, not 15,480 feet.
Learn more about Equivalent Measurements here:
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Answers
Half of her money : ½ × 3.20 = £1.6
So, She gives her brother £1.6
Money left with her : Total money - Money given to her brother = £3.20 - £1.60 = £1.60
Answers
Answer:
y = -4/5x - 5
Step-by-step explanation:
4x + 5y = 45
we need to write it in slope intercept form, so:
5y = -4x + 45
y = -4/5x + 45/5
y = -4/5x + 9
The line is parallel so the slope will be -4/5x, point ( -5 -1 )
y = mx + b
-1 = -4/5(-5)+b
-1 = 4 + b
-1 - 4 = b
-5 = b
y = -4/5x - 5
The equation of the line that passes through the point (-5, -1) and is parallel to the line 4x + 5y = 45 is .
What is the equation of the parallel line?
Given the parameter:
Equation of the original line: 4x + 5y = 45
Point of the parallel line: (-5,-1)
First, we determine the slope of the original line:
4x + 5y = 45
4x - 4x + 5y = -4x + 45
5y = -4x + 45
y = (-4/5 )x + 45/5
y = (-4/5 )x + 9
Hence, the slope is -4/5.
Since the slope of the parallel line will be the same as that of the original line.
Plug the slope m = -4/5 and point (-5,-1) into the point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
Therefore, the equation of the parallel line is .
Learn more about equation of line here: brainly.com/question/2564656
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x 5
Answers
Answer:
A
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
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