9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
It should be noted that monetary policy simply means the policy that's adopted by the monetary authority in a country in order to control interest rates and the money supply.
<h3>
Monetary policy.</h3>
Your information is unclear but the clear and complete ones will be answered appropriately. The main monetary policies include the reserve requirement, open market operations, discount rate, and the interest on reserves.
It should be noted that a larger money supply leads to the reduction of the market interest rates. This makes it less expensive for consumers to borrow.
Also, a smaller money supply raises the market interest rates. Expansionary monetary policy leads to an increase in the money supply. This will lead to an increase in expenditure and therefore, the aggregate demand will shift to the right.
Learn more about monetary policy on:
brainly.com/question/13926715
Hello There!
Follow these steps:
35/5 = 7
7 x 7 = 49
35 out of 49 families owned a dog.
49 families were surveyed.
Hope This Helps You!
Good Luck :)
- Hannah ❤