The next term is double the previous term, so that the
-th term is given recursively by

This rule tells us that



and so on, with the explicit rule

for
.
If 512 is the
-th term in the sequence, then

Answer:
50 minutes
Step-by-step explanation:
she spent 1 hr and 30 minutes on homework
she spends 2/3 of an hour on the phone = 40 minutes
1 hr 30 min + 40 minutes = 2 hrs and 10 min
so she had 50 minutes to kill before bedtime since she goes to sleep 3 hrs after dinner
2hr 10 min + 50 min = 3 hrs.
To start, first distribute 8 to (y+11) which would look something like this:
9y=8y+88
Now, subtract 8y from both sides in order to solve for and isolate the y value. This would result in your answer, y=88.
Answer:
- B - tan A = 4/3, sin B = 3/5
Step-by-step explanation:
<u>First, lets find the length of the third side</u>
- b = √15² - 12² = √225 - 144 = √81 = 9
<u>Now, lets get Tan A and Sin B</u>
- Tan A = 12/9 = 4/3
- Sin B = 9/15= 3/5
Correct option is B
Answer:
Graph # 3
Step-by-step explanation:
-2x + 5y > 15 Let x = 0 solve for y
-2(0) + 5y = 15 change the > to an =
5y = 15
y =3 Point (0, 5) is on the graph
Graph # 3 is correct because the y-intercept is 5
x y
0 3 -2(0) + 5y = 15; 5y = 15
5 5 -2(5) + 5y = 15; -10 + 5y = 15; 5y = 25; y = 5
10 7 -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7
The graph > the line is dotted and you will shade above the line