Answer:
A)
B)
C)
D)
Step-by-step explanation:
Let's go through each answer choice.
A) -3 is to the right of -4.5 on the number line, so it is greater than -4.5
B) -3/2 is to the right of -4.5 on the number line, so it is greater than -4.5
C) 1/3 is to the right of -4.5 on the number line, so it is greater than -4.5
D) 2.5 is to the right of -4.5 on the number line, so it is greater than -4.5
E) -5.2 is to the left of -4.5 on the number line, so it is less than -4.5
Therefore, the answers are A), B), C), and D).
Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
Answer:
$1.00
Step-by-step explanation:
20/10=2
Answer:
(when x = 0)
Step-by-step explanation:
The initial value of the exponential equation is:
9514 1404 393
Answer:
a=0
b may be 0 but is not required to be
Step-by-step explanation:
The y-axis corresponds to the line x=0. Any point on the y-axis will have an x-coordinate of 0.
If (a, b) is on the y-axis, then a = 0.
If the intersection point is (0, 0), then b=0. Otherwise, b is not 0.
