Answer:
Angle of elevation from Kim to the satellite launch = 6.654°
Step-by-step explanation:
The distance from Kim to the satellite launch
= 6 miles
Height of the satellite launch
= 0.7 miles
Angle of elevation from Kim to the satellite launch = b
Tan b = height of satellite/distance from Kim
Tan b= 0.7/6
Tan b= 0.1166667
b = tan^-1 (0.1166667)
b= 6.654°
Angle of elevation from Kim to the satellite launch = 6.654°
Answer: 0.205
Step-by-step explanation:
The probability in one flip is equal to 0.5.
Now, if we do 10 flips, we want 4 times that the coin ends in heads and the other 6 times it must end in tails, so the probability is:
0.5^4*0.5^6 = 0.5^10
Now, this is the case where in the first 4 flips we get heads and in the other 6 we get tails, but we have other ways to get only 4 heads (for example in the last 4 flips, 2 at the beginning and 2 at the end, etc)
So we also need to calculate all the possible permutations of 4 heads in 10 flips. this is:
C = 10!/(10 - 4)!*4! = (10*9*8*7)/(4*3*2*1) = 210
So the probability that we are looking for is:
P = (0.5^10)*210 = 0.205
Given that the bacteria has been modeled by the function:
r(t)=(450.267)e^(1.12567t)
thus the number of bacteria after 3 hours will be:
r(3)=450.267e^(1.12567×3)
r(3)=13,185.20623
The number of bacteria after 3 hours will be:
13, 185.20623
Answer:
Step-by-step explanation:
Let number of gallons in tank be 'g'
We know that maximum possible number of Miles per tank of fuel are 363. This is called the fuel range of the car when gas tank is full
For every gallon which is being utilized there is a decrease in range by 16.5 Miles
Hence the highest possible gallons of tank will be when the car gives full range.
Hence range is function of gallons and equation can be written as follows:
Solving for g
Which means that maximum possible fuel in SUV can be 22 Gallons
