Rectangle ABCD is on the coordinate plane. The equation of line AB is y = 2/3x+4. What is the slope of line AD? Explain your rea
soning?
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Answer:
a
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
let x be the other leg to be found, then
155² = 124² + x²
24025 = 15376 + x² ( subtract 15376 from both sides )
8649 = x² ( take the square root of both sides )
= x
Hence x = 93 cm ← length of other leg → a
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, is the initial value, k is the growth constant and t is the number of years.
Putting in the above formula, we get
Taking ln on both sides, we get
Therefore, the number of bacteria will be 15,000 after 0.575 hours.