Answer:
Step-by-step explanation:
acid=16.5 % of 348
=0.165×348
≈57.4 ml
The height is 9.875 feet from which the goalkeeper catches the ball.
The player kicks soccer from a height of 2 feet
x = 0 and y = 2
Maximum height of 20 feet after traveling 40 feet
x = 40, y = 20
So let y = a(x - 40)² + 20 ( the path of parabola)
Since x = 0 , y = 2
So, 2 = a(0 - 40)² + 20
2 = 1600a + 20
-18 = 1600a
a = - 9/800
Thus, y = -9/800(x - 40)² + 20
Since the soccer is caught by the goalkeeper 70 feet from where it was kicked
x = 70
So at this time,
y = -9/800 ( 70 - 40)² + 20
= -9/800 × 900 + 20
= - 81/8 + 20
= 79/ 8
= 9.875 feet
Therefore the height at which the goalkeeper catches the ball is 9.875 feet.
To know more about the height refer to the link given below:
brainly.com/question/27030273
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Answer:c
Step-by-step explanation:
So the function is

the intial value is where x=0
where x=0, the value of f(0)=3
grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9
the true things are
The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .
Question D:
The terms in the expression are '60a' and '30c'
Question E:
Factors of 60a could be
2 × 30 × a
3 × 20 × a
4 × 15 × a
5 × 12 × a
6 × 10 × a
Question F
Factors of 30c could be
2 × 15 × c
3 × 10 × c
5 × 6 × c
Question G
Coefficient of 60a is '60'
Coefficient of 30c is '30'
Question H
The meaning of the two terms
Term '60a' means multiply the value of 'a' by 60 to find the total cost for 'a' number of adults
Term '30c' means multiply the value of 'c' by 30 to find the total cost for 'c' number of children