Given:
production of electricity in Minnesota in 10^9 kWh
in 2009 = 12 (renewable) = 15% of total production (P)
in 2015 = 25% (renewable) of total production (P)
Total production of the two years are the same.
Solution:
First find P
we know that 12 * 10^9 kWh is 15% of P, or
0.15P=12*10^9
=> P=12*10^9/0.15 = 80*10^9 kWh
For 2015,
25% of P is renewable, therefore
x=0.25P=0.25*80*10^9 kWh = 20 * 10^9 kWh
Hence answer is 20, in units of 10^9 kWh.
Answer: 180 tickets for $40
Step-by-step explanation:
To answer this question, we need to find a pattern;
15 / 3 = 5
60 / 15 = 4
-> If you divide, we find a pattern of the quotient with 5... 4... so we can assume the next is 3
Using this pattern;
60 * 3 = 180 tickets for $40
Answer:
Step-by-step explanation:
focus at (-5, -3), and directrix y = -6
Directrix y=-6 so its a vertical parabola
so equation is
(x-h)^2 = 4p(y-k)
(h,k) is the center
P is the distance between focus and vertex
distance between focus and directrix = 2p
distance between -3 and y=-6 is 3
2p = 3
p = 3/2 or p = 1.5
Focus is (h, k+p)
given focus is (-5, -3) so h= -5 and k+p = -3
k+p=-3, plug in 1.5 for p
k + 1.5 = -3
subtract 1.5 on both sides
k = -4.5
(x-h)^2 = 4p(y-k)
divide by 6 on both sides
then subtract 4.5 on both sides
focus at (10, -4), and directrix y = 6.
Directrix y=6 so its a vertical parabola
so equation is
(x-h)^2 = 4p(y-k)
distance between focus and directrix = 2p
distance between -4 and y=6 is -4-6=-10
2p = -10
p = -5
Focus is (h, k+p)
given focus is (10, -4) so h= 10 and k+p = -4
k+p=-4, plug in 5 for p
k - 5 = -4
add 5 on both sides
k = 1
(x-h)^2 = 4p(y-k)
divide by -20 on both sides and add 1 on both sides