Option A: 
Option E: 
Option F: 
Solution:
Given expression is
.
To find which expression is equivalent to the given expression.
Option A: 
Using exponent rule: 

Therefore
is equivalent to the given expression.
Option B: 
It is not equivalent to the given expression.
Option C: 

Therefore, It is not equivalent to the given expression.
Option D: 

Therefore, It is not equivalent to the given expression.
Option E: 

Therefore, It is equivalent to the given expression.
Option F: 

Therefore, It is equivalent to the given expression.
Hence option A, Option E and Option E are equivalent to the given expression.
Answer:
P(roll a number less than 5)= 4/6= 2/3
Step-by-step explanation:
*A dice has 6 faces 1,2,3,4,5,6
*1,3,5 are faces with odd numbers
*2,4,6 are faces with even numbers
*we have four numbers that are less than 5: 1,2,3,4
so i would say the probability to roll a dice with a number less
than 5 is P=4/6=2/3
Let x be the number. With this representation, double this number is 2x and thrice is 3x. We are asked to give an expression for the difference (subtraction) of these numbers, the answer to this question should be,
3x - 2x
Answer:
all integers where n>0
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
A)all integers where n>0
B)all real numbers where n>0
C)all rational numbers where n> 0
D)all rational numbers where n> 0
Please have a look at the attached photo.
My answer:
Please keep in mind that the number of marbles must be positive because the object can not negative. Moreover, the number of marbles must be an integer number because we can not buy a decimal number of marbles such as 5.5 or 6.5 marbles.
=> the domain for the function must meet 2 requirements:
1. Positive interval
2. Integer number
=> we choose A