Answer:
The value of a Cartesian product between an empty set and set A is equal to the empty set.
Step-by-step explanation:
The cartesian product is given by:
A×B= {(a,b): a∈A, b∈B}
This means that each element of set A is combined with an element of set B.
The empty set is the unique set having no elements and its size is zero.
Let Ф be the empty set and let A be a set of elements chosen from U.
A×Ф=Ф
Since the empty set has no elements, no ordered pairs can be formed and the result is the empty set.
Answer:
6.56 g
Step-by-step explanation:
We can write the mass of radioactive isotope left after a time t by using the equation

where
is the initial amount of radioactive isotope
is the half-life
is the time
In this problem, we want to know the amount of radioactive isotope left after 5 half-lives, so after

Substituting into the equation, we have

D is correct
3(2x-5)=6x+k
6x-15=6x+k
If 2 equations are identical the solution will be infinite
Answer:

Step-by-step explanation:
To solve this type of problems first need to review some laws of exponents:
When you are multiplying the same base, you need to add the exponents.

When you are raising a base with power to another power, you should keep the base and multiply the exponents:

Now for the expression 
Write the multiplying factors:

Multiply the term 

Then multiply the term 

Simplify the exponents:

Add like terms:
