Correct question is;
A football is kicked up into the air. Its height, H, above the ground, in meters, at t seconds can be modelled by () = 24 − 4.9²
(a) Determine the expression for the instantaneous rate of change in height at time t.
(b) Determine ' (2) What does ' (2) represent?
Answer:
A) '() = 24 − 9.8
B) '(2) = 4.4 m/s
It means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s
Step-by-step explanation:
We are given the function to represent the height as;
() = 24 − 4.9²
A) expression for the instantaneous rate of change in height at time t will be gotten by differentiation of the height function. Thus;
'() = 24 − 9.8
B) '(2) = 24 - 9.8(2)
'(2) = 4.4 m/s
This means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s
Answer:
D. n=15.1
Step-by-step explanation:
Solve for the value of n using the equation provided.
14.8=n-0.3 Add 0.3 to both sides
15.1=n
Answer:
Let M represent the amout at any time.
She saves $40 per week so total amount becomes 40x in any specified week.
where x is the number of weeks.
In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes
M = 40x+500
Simply put number of week in place of x and find the total amount.
Step-by-step explanation:
Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
