Answer:
1.26 feets
Step-by-step explanation:
Given the following :
Vertex (0, 0)
Focus of reflector = 6 feets
Extension = 5.5 feets
Equation to obtain conic section of a parabola:
(x - h)² = 4p(y - k)
Vertex (0, 0)
h =0 ; k = 0, p = 6, x = 5.5
(5.5 - 0)² = 4*6(y - 0)
30.25 - 0 = 24(y - 0)
30.25 = 24y
y = 30.25 / 24
y = 1.26
Hence, depth of reflector = 1.26 feets
This is the concept of algebra, given that the elevator is 500ft above the ground and it is descending at a steady rate of 5ft/sec. Then height h, at time t of the elevator movement can be modeled by the equation:
h(t)=-5t+500.
The correct answer is h(t)=-5t+500
Answer:
x= 3
Step-by-step explanation:
8x - 9 =15
+9 on both sides
8x = 15 + 9
Add 15 and 9 to get 24
8x = 14
Divide 8 by both sides
x = 3
OK, so this is assuming we are considering that the first three kids to solve ARE NOT in the first day.
So we have 3 kids and it doubles
Day 1 : 6
Day 2 : 12
Day 3 : 24
Day 4 : 48
Day 5 : 96
Day 6 : 192
Day 7: 384
So it should take 7 days or a week to solve all the problems.
The equation:
(3 * 2)^x = 384
Answer:
175/3 or 58.333...
Step-by-step explanation:
This is fairly complicated but I will try to make it as simple as possible. I also apologize in advance for how impossible it is to make fractions look like fractions. I also had to insert a bunch of unnecessary parentheses just because the fractions that I can make are relatively inaccurate.
The distance between 2 cities can be represented as d.
Time is d/r if r is rate, so B->NY=d/50
Similarly,NY->B is d/70
Obviously the average speed is 2d/(d/50+d/70), this is just an average time
Now just remove the d and get (d/d)*2/(1/50+1/70)
You can now multiply by the LCM/LCM, which is 350/350.
After calculating you will get 700/12 which is 58.333...(This is how to enter into your RSM browser) Hope this helps. Sorry it is so late.
