Answer:
she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Step-by-step explanation:
Since the momentum p is defined as
p = m*v
where
m= mass of the ball
v= velocity of the ball
denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler
p₂=p₁
therefore
m₁*v₁ = m₂*v₂
v₂ = v₁ * (m₁/m₂)
replacing values
v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s
then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition
5*3=15
15-4= 11
hope I helped:)
They are inverses if f( (g(x)) = x
f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x
so this proves that g(x) is the inverse of f(x)
the other inverse g((f(x)) should also be = x
3/2
<em>Step One:</em> 1 3/8, transform the number into a improper fraction:
- To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8
- NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
- After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
- Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
- We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
- 4 can be divide by both number so: 12/4= 3 and 8/4=2
- Now 3 is are simplify numerator and 2 is are simplify denominator.
Answer:
90 engines must be made to minimize the unit cost.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a>0, the minimum value of the function will happen for 
C(x)=x²-180x+20,482
This means that 
How many engines must be made to minimize the unit cost?
x value of the vertex. So
90 engines must be made to minimize the unit cost.
