Answer:
169.39 feet.
Step-by-step explanation:
We have been given that the Apollo's chariot, a roller coaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation 
. We are asked to find the maximum height that the ride can reach.
To find the maximum height that the ride can reach, we need to find y-coordinate of vertex of parabola because our given equation is downward opening parabola and its maximum point will be the vertex.
First of all, we will find x-coordinate of vertex using formula 
.
Now, we will substitute 
in our equation to find y-coordinate of vertex as:
Therefore, the ride will reach to a maximum height of 169.39 feet.169.39 feet.
Well the ratio is 16:20 which it 16/20. We can simplify that to 4/5. Therefore the ratio from pink stripes to green stripes will be 4:5
Let 1st integer = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0
We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
Answer:
b
Step-by-step explanation:
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Answer:
560 dinners
Step-by-step explanation:
First, find the amount of ounces by multiplying 350 pounds by 16 since every one pound is 16 ounces. 350×16=5600. That means there are 5600 ounces of meat. Therefore, to find the amount of steaks that can be served, divide 5600 divided by 10. 5600÷10=560.
