A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radians. (That is, the rocket's path and the ground form an angle with a measure of 1.2 radians.)] Required:
a. What is the slope of the rocket's path?
b. If the rocket has traveled 85 yards horizontally since it was launched, how high is the rocket above the ground? yards.
c. At some point in time, the rocket is 313 yards above the ground. How far has the rocket horizontally (since it was launched) at this point in time? yards

a)

b)

c)

Step-by-step explanation:

From the question we are told that:

Angle

a)

Generally the equation for Slope is mathematically given by

b)

Given the right Angle triangle with horizontal distance

Generally the equation for Height traveled is mathematically given by

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2