Answer:
No, because the radicands are not the same
Step-by-step explanation:
The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)
Explanation:
The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.
1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:
80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know
2. 82% of 50 - Repeat the same process
50 / 100 = 0.5 x 82 = 41
3. 170% of 30
30 / 100 = 0.3 x 170 = 51
4. Finally organize the values
82% of 50 (41)
170% of 30 (51)
65% of 80 (52)
Answer:
Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.
<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that 
. Thus, A↔A.
<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that 
. In this equality we can perform a right multiplication by 
and obtain 
. Then, in the obtained equality we perform a left multiplication by P and get 
. If we write 
and 
we have 
. Thus, B↔A.
<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have and from B↔C we have 
. Now, if we substitute the last equality into the first one we get
.
Recall that if P and Q are invertible, then QP is invertible and 
. So, if we denote R=QP we obtained that
. Hence, A↔C.
Therefore, the relation is an <em>equivalence relation</em>.
Answer:
Step-by-step explanation:
<u>Inverse function</u>
Given the function
We find its inverse following the procedure below:
- Make the new y the inverse function:
This is the inverse function
Answer:
Formula for gravitational force F = G M1 * M2 / R^2 where G is the gravitational constant
F2 / F1 = (R1 / R2)^2 = 1/2 where F2 is the required force
R2 = (2)^1/2 R1 distance for R2 to be 1/2 force at R1
Since force is proportional to the square of the distance of separation, increasing the distance of separation by 2^2 will halve the force
