Answer:
A = 5x + 3y
B = 8x + 5y
C = 15x + 11y
Step-by-step explanation:
B = 6x + 2y + 2x + 3y
= 6x + 2x + 2y + 3y
= 8x + 5y
C = 8x + 5y + 7x + 6y
= 8x + 7x + 5y + 6y
= 15x + 11y
A = 7x + 6y - 2x - 3y
= 7x - 2x + 6y - 3y
= 5x + 3y
Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
Answer:
Yes, the function is a kernel
Step-by-step explanation:
Given
Document x an z
Function definition! k(x:z)
We want to show that the above is a kernel.
To do this, we'll explicitly construct feature vectors φ(x) and φ(z)
This gives;
K(x,z) =φ(x)·φ(z).
Given than any document; say x and z
A vocabulary V can be constructed.
Vocabulary V must have a finite size of words in the document set..
The feature mapping is constructed as φ(x) for x by the following:
For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.
Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel
.
Answer: The amount invested at 10% was $3200.
Step-by-step explanation:
Since we have given that
Principal amount = $7200
Rate of interest are 10% and 9%.
Total interest = $680
Let the amount invested on 10% be 'x'.
Let the amount invested on 9% be '7200-x'.
According to question, we get that
Hence, the amount invested at 10% was $3200.
Answer:
-57
Step-by-step explanation:
3r x 6-11r x 5-20r x 1 any expression multiplied by 1 remains the same always calculate the product.
multiply calculate
18r-55r-20r
collect like terms
-57
