Answer:
M(t) = 741·(1/2)^(t/5730)
Step-by-step explanation:
One way to write an exponential function is this:
value at time t = (initial value) · (multiplier over period)^(t/period)
Here, the initial value is given as 741 grams, and the time period is 5730 years. The multiplier over that period is 1/2, since half of the quantity remains after that time. The problem statement tells us that "value at time t" is M(t), so we have ...
M(t) = 741·(1/2)^(t/5730) . . . . . t in years; M(t) in grams
Answer:
E) 166
Step-by-step explanation:
Standard deviation is 10
Margin error for the problem is 2
Probability 99%, that means thet the siginficance level α is 1 – p
α = 1 – 0.99 = 0.01
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.01/2) = Z(0.005)
Using a z table Z = 2.576
Now, replacing in the equation and find n
2 = 2.576 * 10/ √n
2 = 25.76 /√n
√n = 25.76 /2
√n = 12.88
n = 12.88^2
n = 165.89 ≈166
Answer:
471.24
Step-by-step explanation:
V=πr2h/3
radius = 5 and length = 18
answer = 471.24
please mark me brainliest!!
Let v = number of video's she bought
Let c = number of CD's she bought
v+c=16
1495v+1688c=9355
Multiply both sides of (1) by 1495
and subtract (1) from (2)
-1495v-1495c=-8970
193c=386
c=2h
50mph since 40mph + 60mph = 100mph then divide it into 2 trips
100mph / 2 = 50mph
ANSWER: 50mph