D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.
If the base of the exponent in a general function p(x) is lower, this means that large negative values of x will result in large positive values of p(x). Example: (1/5)^(-10)= almost 10 million, while (1/2)^(-10)= only 1024.
R2(<span>cos2</span>ϕ−<span>sin2</span>ϕ)−2rcosϕ=0<span><span>r2</span>(<span>cos2</span>ϕ−<span>sin2</span>ϕ)−2rcosϕ=0</span>
<span><span><span>r2</span>cos<span>(2ϕ)</span>−2rcosϕ=0</span><span><span>r2</span>cos<span>(2ϕ)</span>−2rcosϕ=<span>0
Now </span></span></span> divide through by <span><span>r≠0</span><span>r≠0</span></span>
and get
<span><span>rcos<span>2ϕ</span>−2cosϕ=0</span><span>rcos<span>2ϕ</span>−2cosϕ=0</span></span>
or
<span><span>r=2<span><span>cosϕ</span><span>cos<span>2ϕ</span></span></span></span><span>r=2<span><span>cosϕ</span><span>cos<span>2<span>ϕ</span></span></span></span></span></span>
Answer:
11 pennies and 9 nickels
Step-by-step explanation:
Set up a system of equations where p is the number of pennies and n is the number of nickels:
p + n = 20
0.01p + 0.05n = 0.56
Solve by substitution by rearranging the first equation:
p + n = 20
p = 20 - n
Then, plug this in as p into the second equation, and solve for n:
0.01p + 0.05n = 0.56
0.01(20 - n) + 0.05n = 0.56
0.2 - 0.01n + 0.05n = 0.56
0.2 + 0.04n = 0.56
0.04n = 0.36
n = 9
Then, plug this into the first equation to solve for p:
p + n = 20
p + 9 = 20
p = 11
So, Jayden has 11 pennies and 9 nickels
Answer:
2 hours 24 minutes
Step-by-step explanation:
Formula
distsance/speed = time
Step-by-step explanation:
- b.vertical
- c. adjacent
- c. complementary
