Answer:
Step-by-step explanation:
using the properties of logarithms, the log of a product gives the addition of logs, and the log of a quotient gives the subtraction of logs;
Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
Yes. Think of it like this. You borrowed $1 from your friend for a candy bar. You now have -$1 because you owe your friend money. If you ask your friend for another $5 because you found another thing you wanted you have -$6. When you already have a negative, you are subtracting even more from that, which brings you to an even higher negative number
Answer:
∠G = 37°
∠H = 143°
Step-by-step explanation:
As we know ,
Sum of supplementary angles is 180 degrees.
Hence sum of ∠G and ∠H is also 180 degrees
∠G + ∠H = 180
Substituting the given values in above equation, we get -
∠G = (x + 4)° = (33 + 4)° = 37°
∠H = (4x + 11)° = (33*4 + 11)° = 143°
