Answer:
The domain restriction for (f/g)(x) is x=7
Step-by-step explanation:
we have


so

Remember that
the denominator can not be equal to zero
so
Find the domain restriction
x-7=0
x=7
therefore
The domain is all real numbers except the number 7
(-∞,7)∪(7,∞)
Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Step-by-step explanation:
Since we have given that
Speed at which woman walks due west = 3 mi/hr
Speed at which ship moving due north = 22 mi/hr
Now it forms "Pythagorus theorem":
So, it becomes,

And the direction of the woman relative to the surface of the water is given by

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Answer:
B
Step-by-step explanation:
2/7 I Hope i helped
Answer:
(a) 2996 units
(b) 1897 units
Step-by-step explanation:
p = 10,000(1 - 3/3 + e^-0.001x)
(a) p = $500
500 = 10,000(1 - 1 + e^-0.001x)
500/10,000 = e^-0.001x
e^-0.001x = 0.05
-0.001x = In 0.05 = -2.996
x = -2.996/-0.001 = 2996 units
(b) p = $1500
1500 = 10,000(1 - 3/3 + e^-0.001x)
1500/10,000 = (1 - 1 + e^-0.001x)
0.15 = e^-0.001x
-0.001x = In 0.15 = -1.897
x = -1.897/-0.001 = 1897 units