H = - 16 t² + 32 t + 9
The maximum height is at the vertex of the parabola:
t = - b / (2 a ) = - 32 : ( - 32 ) = 1 s
The ball will reach maximum height in 1 second.
h max = - 16 * 1² + 32 * 1 + 9 = - 16 + 32 + 9 = 25 m
The maximum height is 25 m.
Answer:
4 ml of the 63% milk drink
Step-by-step explanation:
Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink. Let m represent the number of ml of a drink that is 63% milk.
The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).
Then:
0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.
2.25 + 0.63m = 6.75 + 0.45m
First: consolidate the m terms on the left. 0.63m less 0.45m yields 18 m; then we have:
2.25 + 18m = 6.75, or
18 m = 4.50, or m = 4 ml.
In conclusion: adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.
Answer: the price is $19.60
Step-by-step explanation:
Answer:
The equation of the perpendicular line would be y = -5/2x + 7
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
2x - 5y = 6
-5y = -2x + 6
y = 2/5x - 6/5
This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -5/2(x - 2)
y - 2 = -5/2x + 5
y = -5/2x + 7
