Answer:
a) No. t < 0 is not part of the useful domain of the function
b) 2.0 seconds
Step-by-step explanation:
a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.
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b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.
h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0
0 = -4(4t² -7t -2) = -4(4t +1)(t -2)
This has t-intercepts where the factors are zero, at t=-1/4 and t=2.
The ball will hit the ground after 2 seconds.
Step-by-step explanation:
Given
mass (m) = 5000 kg
velocity (v) = 100 km/h = 100* 1000/ 3600 = 27.78m/s
Now
Kinetic energy
= 1/2 mv²
= 1/2 * 5000 * 27.78²
= 1929321 joule
Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 -
θ =
θ
1 -
θ =
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 -
θ ) / sin θ ] / cos θ = [ ( 1 -
θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 -
θ ) / ( sin θ * cos θ )
=
θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :
Answer:
-5/6, -2/5, 2/5, 5/6
Step-by-step explanation:
put the fractions in your calculator and then click the fraction to decimal button and press enter.
Answer:
72
Step-by-step explanation:
The greatest number in this set is 83
The smallest number is 11
We subtract the greatest from the smallest number in a set to find the range
83-11=72