Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
<span>B)
The sample that Mrs. Craig took was too small.
I'm assuming the question is asking why they were not the same percentage?</span>
Answer:
d=75° e=28° f=77°
Step-by-step explanation:
The angle of a straight line is 180°
If you subtract the 2 angles you know(which are equal to d and e), you're left with the missing angle measurement of 77°
All of the positive and negative numbers are integers.
Given two points (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11
point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.
(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)
<span>Answer: D. y-6=-14/11(x+4)</span>