Answer:
Second option: 5E 10 = 5*10^(10) galaxies.
Step-by-step explanation:
The exponential notation is used as:
AE N
This is equal to:
A*10^(N)
And we need to add N zeros to the right of A.
While if we had:
AE - N
A*10^(-N)
We need to add N - 1 zeros at the left of A.
Now we have the number:
50,000,000,000
Let's count the number of zeros at the right of the 5, we have 10 zeros.
Then we would write this as:
5*10^(10)
OR
5E 10
Then the correct option is the second one.
His work should have looked like this.
2x + y = 5
x − 2y = 10
y = 5 − 2x
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
5x − 10 = 10 When he added in both sides, he subtracted 10 from 10,
5x = 20 instead of adding 10 from 10 to make 20.
x = 4
2(4) + y = 5
8 + y = 5
y = -3
Answer:
D. 280°
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below.
From the diagram,
arc EAC = arc EAB + arc BC ... (1)
Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°
Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°
Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:
arc BC + 25°+55° = 180°
arc BC = 180° - 80°
arc BC = 100°
Remember from initial equation 1 that arc EAC = arc EAB + arc BC
arc EAC = 180°+100°
arc EAC = 280°
The measure of EAC is therefore 280°
Answer:
If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.
Hope this helps. :)
Step-by-step explanation:
Spanish:
Si los renos no luchan, hay 5! = 120 formas de alinearlos en línea recta.
De estos, Bloopin y Rudy están juntos en 4! = 24 veces. De manera similar, Rudy y Bloopin estarán juntos 4! = 24 veces. Entonces, el número de formas en que no están juntas es 120-24-24 = 72 formas.
Espero que esto ayude :)
Answer:
On simplification, 
Step-by-step explanation:
Here, the given expression is:
Now, we can perform operations only on LIKE TERMS,
So, in this expression, separate the like terms we get:
Hence, on simplification,
