Answer:
136.36 meters
Step-by-step explanation:
we know that
Chelsea sprinted 150 yards in 21.5 seconds
convert yards to meters
Remember that
One meter is approximately equal to 1.1 yards
So
Divide by 1.1
therefore
Chelsea sprinted 136.36 meters in 21.5 seconds
Answer:
0.0069
Step-by-step explanation:
This is a power series problem.
The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......
Our question says we should use the first 5 terms to find the value of sin(π). Thus;
sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!
This gives;
π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069
To simplify we can collect like terms so we get -1.7f-18 :)
Answer:
After 10 seconds
Step-by-step explanation:
In this problem, the height of the object after t seconds is described by the function
where
160 ft is the initial height of the object at t = 0
+144 ft/s is the initial velocity
is the acceleration due to gravity (downward)
Here we want to find the time at which the object hits the ground, so the time t at which
Therefore we can write
Simplifying (dividing each term by 16), we get
This is a second-order equation in the form
Which has solutions given by the formula
(2)
Here we have:
a = -1
b = 9
c = 10
Substituting into (2) we find the solutions:
Which gives:
Since time cannot be negative, the only solution is
t = 10 seconds
Answer:
b=-5/16
Step-by-step explanation: