It will take planet Hulu 1744 hours and 30 mins to do a full rotation
Answer:
It is sufficient to prove that 
Step-by-step explanation:
The propositions 
being equivalent means they should always have the same truth value. If one of them is true, then all of them must be true. And if one of them is false, then all of them must be false.
Suppose we've proven that (call these first, second and third implications).
If 
was true, then by the first implication that we proved, it would follow that 
is also true. And then by the second implication that we prove it would follow then that 
is also true. Therefore the three of them would be true. Notice the reasoning would have been the same if we had started assuming that the one that was true was either 
. So one of them being true makes all of them be true.
On the other hand, if was false, then by the third implication that we proved, it would follow that 
has to be false (otherwise would have to be true, which would be a contradiction). And then, since is false, by the second implication that we proved it would follow that 
is false (otherwise 
would have to be true, which would be a contradiction). Therefore the three of them would be false. Notice the reasoning would have been the same if we had started assuming that the one that was false was either . So one of them being false makes all of them be false.
So, the three propositions always have the same truth value, and so they're all equivalent.
Answer:
36 yd³
Step-by-step explanation:
The above solid shape given is a triangular prism.
The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)
Base length of triangle (b) = 9 yd
Height of the triangle (h) = 2 yd
Length of the prism (l) = 4 yd
Volume = ½bhl
Volume = ½*9*2*4
Volume = 9*4
Volume of prism = 36 yd³
First off, you have to convert 8 minutes into seconds.
A minute is <em>60 seconds</em>, so multiply 60 by 8.
60×8=480
Now, change 10⁹ into a standard number. Since the number is 10 that is to have an exponent, the exponent, in this case 9, indicates how many zeros are in the standard number.
10⁹=1,000,000,000
So, multiply 480 by 1,000,000,000.
480×1,000,000,000=480,000,000,000
So, the answer is 480,000,000,000.
Answer:
4
Step-by-step explanation:
The ratio of carrots to cucumber is 1:3.
The sum of their fewest amount is 4
