Answer:
Ans: -21.87 ≅ -22°C
Step-by-step explanation:
T(x)=-22+44e^-0.03x
Initial temperature (x = 0):
T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C
After 18 minutes (x = 18):
T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic
10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)
Final Answer: 10
Part A)
The coin landed on heads 9 times out of 30 flips, so the experimental probability is 9/30, which reduces to 3/10 probability.
Part B)
Theoretically a coin has a 1/2 probability of landing on heads each flip
Answer is $506.25.
first month is $100,
second month is 100 times 1.5 which is 150.
thirst month is 150 times 1.5 which is 225.
fourth month is 225 times 1.5 which is 337.5
fifth month is 337.5 times 1.5 which is 506.25
Answer:
AB = 10
Step-by-step explanation:
Use the distance formula: √(12 - 18)^2 + (1 - 9)^2
√36 + 64
10