Answer:
y=5
Step-by-step explanation:
We are solving
The logarithm is basically asking us this question:
Or what power should I raise 2 to so that it will give me 32?
We know that 
Therefore 
.
<em>P.S: calculating logarithms is not an algorithmic process: you have to rely mostly on educated guesses to get your answers.</em>
A^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25. -16
B^2 = 9
Square root of 9 = 3
B = 3
The other leg is 3cm
Answer:
-5,-8,-11,-14,-17
Step-by-step explanation:
-3n -2
n=1 -3(1) -2 = -3-2 = -5
n=2 -3(2) -2 = -6-2 = -8
n=3 -3(3) -2 = -9-2 = -11
n=4 -3(4) -2 = -12-2 = -14
n=5 -3(5) -2 = -15-2 = -17
Answer:
- Seat 1: Peter
- Seat 2: Lia
- Seat 3: Kenny
- Seat 4: Jennie
- Seat 5: Harvey
- Seat 6: Joyce
- Seat 7: Rick
- Seat 8: Mark
Step-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
- Seat 4: Jennie
- Seat 5: Harvey
From Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
From Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
By Rule 5: Lia is next to Kenny, therefore:
From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Therefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
