Answer:
Hence, Grasshopper will land on the ground after 1.5 sec.
Step-by-step explanation:
It s given that:
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:
Now we are asked to find:
In how many seconds will the grasshopper land on the ground?
i.e. we have to find the value of t such that h(t)=0
i.e.
i.e. we need to find the roots of the given quadratic equation.
On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:
As time can't be negative hence we will consider:
Hence, grasshopper will land on the ground after 1.5 sec.
This dot plot shows a nonlinear association... this is because if you look at the plot you can tell that there isn’t a line going any direction, it’s kinda scattered..so there isn’t any outliers rather it’s a nonlinear plot
800 x 100 = 80000
80000 divided by 16 = 5000
5000 - 800 = 4200
His overall budget is $4200
Answer:
0.53πrad
Explanations:
Given the radius of the circular track = 60metres
If she walks a total of 100 meters, the length of the arc of the circle = 100metres
To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc
L = θ/360° × 2πr
100 = θ/360× 2π(60)
36000 = 120π × θ
36000 = 376.8θ
θ = 36000/376.8
θ = 95.5°
Since 180° = πrad
95.5° = x
x = 95.5π/180
x = 0.53π rad
