Answer:
4^(11/20)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
Using that here, we have ...
4^(3/4)/4^(1/5) = 4^(3/4 -1/5)
= 4^(15/20 -4/20) = 4^(11/20)
Answer:
b
Step-by-step explanation:
2x-4=38
-4+4=38+4
2x=42
2x/2=x 42/2= 21
x=21
Answer:
See below
Step-by-step explanation:
<u>Recursive Formula for Arithmetic Sequences</u>
- <u />

represents the nth term
represents the preceding term
represents the common difference
<u>Explicit Formula for Arithmetic Sequences</u>
- <u />

represents the nth term
represents the 1st term
represents the common difference
<u>Ernest's Schedule Recursive Formula</u>
We can see that the common difference is
because for each week, Ernest swims 0.25 more kilometers than the preceding one. Therefore, the recursive formula for Ernest is 
<u>Ernest's Schedule Explicit Formula</u>
Given our common difference
from earlier and the fact that
is our first term, the explicit formula for Ernest is 
<u />
<u>Denise's Schedule Recursive Formula</u>
We can see that the common difference is
because for each week, Denise swims 0.5 more kilometers than the preceding one. Therefore, the recursive formula for Denise is 
<u>Denise's Schedule Explicit Formula</u>
Given our common difference
from earlier and the fact that
is our first term, the explicit formula for Denise is 
Answer: a (reflection over y-axis, followed by a translation of 2 units left)
Step-by-step explanation:
The correct answer is B.
-5*3^0=-5
-5*3^3=-135
-5*3^7=-10935