Answer:
462 ft/s
Step-by-step explanation:
The height of the bullet is modeled by:
h(t) = -16t² + 925t------------------------------------ (1)
The speed of the bullet is modeled by the first derivative of equation (1)
dh/dt= -32t + 925------------------------------------ (2)
At maximum height, dh/dt = 0
0 = -32t + 925
32t = 925
t = 925/32
= 28.91 seconds
This means that the total time to reach maximum height is 28.91 seconds
Substituting into equation (1) we can calculate the maximum height:
h = -16 (28.91)² +925 (28.91)
= -13,372.61 + 26,742.675
= 13,367.065 ft
Average speed = Total distance/ Total time
= 13,367.065/28.91
= 462.368
≈ 462 ft/s
Find the slope of the line through (x1,y1) = (0,6) and (x2,y2) = (2,0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(2 - 0)
m = -6/2
m = -3
The slope is -3
Since we're given the point (0,6) to be on the line, we know the y intercept is b = 6.
Plug m = -3 and b = 6 into y = mx+b to get y = -3x+6
Answer: Choice D) y = -3x+6
The bill was $132
42% was for gas.
Multiply the total bill by 42% ( 0.42) to find the amount spent on gas:
132 x 0.42 = $55.44 was spent on gas.
Now subtract that amount from the total to find how much was spent on electricity:
132 - 55.44 = $76.56 was spent on electricity.
Answer:
D. 6 1/12
Step-by-step explanation:
First add the like fractions.
3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)
Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.
<h2>
REMEMBER: You can only add and subtract fractions when they have the same denominator.</h2>
3: 3, 6, 9, 12
4: 4, 8, 12
In this case 12 is the least common multiple.
3/4 x 3/3 = 9/12 9/12
4/3 x 4/4 = 16/12
Add those two fractions then add the whole numbers and put it in front.
4 25/12
Simplify
6 1/12
