I'm afraid it's not 11 (unless you can round the result up, but there is no mention about it).
8 + 13 + 11 + 9 + 13 = 54
54 / 5 = 10,8
Firstly you sum all the numbers and then you divide the result by the amount of the summed up numbers.
<span>The 3rd astronaut would catch the 2nd astronaut and throw the 2nd astronaut towards the 1st and the game would end there.
The key thing to remember is conservation of momentum. Since all of the astronauts have the same mass and strength, I will be introducing a unit called "A" which represents the maximum momentum that one astronaut can produce while throwing another. So here's the game of catch, throw by throw.
Before the game begins, I will assume all three astronauts are stationary and have 0 momentum. So
Astronaut 1 = 0 A (Stationary, next to astronaut 2)
Astronaut 2 = 0 A (Stationary, next to astronaut 1)
Astronaut 3 = 0 A (Stationary)
1st astronaut grabs the 2nd astronaut and throws him towards the 3rd.
Since every action has an equal and opposite reaction, what will happen is the 1st astronaut will be sent moving backwards with a momentum of -1/2A and the 2nd astronaut will be heading towards the 3rd with a momentum of +1/A. So we're left with
Astronaut 1 = -1/2 A (Moving to the left)
Astronaut 2 = +1/2 A (Moving to the right)
Astronaut 3 = 0 A (Stationary)
Now the 3rd astronaut catches the 2nd who was thrown at him. Both of them continue moving in the same direction as the 2nd astronaut was just prior to being caught, but at a reduced velocity, giving
Astronaut 1 = -1/2 A (Moving to the left)
Astronaut 2 = +1/4 A (Moving to the right, slowly)
Astronaut 3 = +1/4 A (Moving to the right, slowly)
Finally, Astronaut 3 throws astronaut 2 back towards Astronaut 1, giving
Astronaut 1 = -1/2 A (Moving to the left)
Astronaut 2 = +1/4 A -1/2A = -1/4A (Moving to the left, slowly)
Astronaut 3 = +1/4 A +1/2A = +3/4A (Moving to the right, rapidly)
So what you're left with is Astronaut 1 moving to the left faster than Astronaut 2, so those two astronauts will never catch each other. Meanwhile, Astronaut 3 is moving to the right and getting further and further away from the other 2 astronauts. So none of the astronauts will ever be able to catch or throw anyone ever again.</span>
17. 8/10 is equal to .8 not .08
18a. False
18b. True
18c. False
18d. False
18e. True
19. 0.02
20. No, the zero needs to be in the tenths place or else the decimal (.2) would become 2/10.
21. 17/100
22. Words- Ten hundredths
Fraction- 10/100
Decimal- .10
Answer(1):
Given that h(y)=2y-7.
h(8) means plug y=8 into h(y)=2y-7.
h(8)=2*8-7=16-7=9
Hence C) 9 is the final answer.
Answer 2:
(7/8) = (m/32)
to solve for m, we begin by cross multiply
8m=7*32
8m=224
m=28
Hence choice C) 28 is final answer.
Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.
Rotational symmetry is to check if the given picture is symmetric after some rotation.
Answer 3:
Letter "E" will have
B) the letter has reflection symmetry only
So B) is correct.
Answer 4:
Which statement is true?
Letter "Z" will have
B) the letter has rotation symmetry only
Hence B) is correct.
Answer 5:
Letter "X" will have
A) the letter has both reflection and rotation symmetry
Hence A) is correct.