Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
Answer:
2⁹
Step-by-step explanation:
Using the rule of Indices:
aⁿ x aˣ = aⁿ⁺ˣ
Hence: 2²⁺³⁺⁴
= 2⁹
Answer:
mean= 4.68
variance= 1.0296
Step-by-step explanation:
mean= n×p
n=6
p=0.78
mean= 6×(0.78)
= 4.68
variance= n×p×(1-p)
= 6 × 0.78×(1-0.78)
= 1.0296
Y/x=k
when y=9, then x= -3
9/-3=-3
⇒ k= -3
Given:
In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.
To find:
The length of the missing side.
Solution:
In a right angle triangle,
Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.
Substituting Perpendicular = 8 inches and Base = 12 inches, we get
Taking square root on both sides, we get
The length of the missing side is 14.4 inches. Therefore, the correct option is D.
