Answer: A. -5/4
Step-by-step explanation:
14. The distance between the two points is 14.866.
Distance can be calculated with the following formula:
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(12-2)²+(5-(-6))²
d=√10²+11²
d=√100+121
d=√221
d=14.866
15. The distance between the two points is 20.248.
Use the same formula to find the distance.
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(4-(-3))²+(12-(-7))²
d=√7²+19²
d=√49+361
d=√410
d=20.248
<h2>Number of bacteria after 6 days is 2313</h2>
Step-by-step explanation:
Population after n days is given by
Initial population, P₀ = 1000
Increase rate, r = 15 % = 0.15
Number of days, n = 6
Substituting
Number of bacteria after 6 days = 2313
The volume of soup in the cylindrical can is 100.48 inches cube.
<h3>How to find the volume of a cylindrical can?</h3>
We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.
The volume of the soup is the volume of the cylindrical can.
Therefore,
volume of the cylindrical can = πr²h
where
- r = radius of the cylinder
- h = height of the cylinder
Therefore,
h = 8 inches
r = 4 / 2 = 2 inches
volume of the soup in the cylindrical can = πr²h
volume of the soup in the cylindrical can = π × 2² × 8
volume of the soup in the cylindrical can = π × 4 × 8
volume of the soup in the cylindrical can = 32π
Therefore,
volume of the soup in the cylindrical can = 32 × 3.14
volume of the soup in the cylindrical can = 100.48 inches³
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The probability of getting two red lenses when two are selected will be 2/13.
<h3>What is probability?</h3>
The probability of favorable events to the total number of occurrences.
A box contains four red, three blue, and six green lenses.
Two lenses are randomly selected from the box.
Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be
The total number of the event will be
Total event = ¹³C₂
Total event = 78
Then the favorable event will be
Favorable event = ⁴C₁ x ³C₁
Favorable event = 4 x 3 = 12
Then we have
P = 12 / 78
P = 2/13
More about the probability link is given below.
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