Answer:
23
Step-by-step explanation:
Given:
The sequence of numbers is given as:
4 2
9 8
15 15
22 ?
Let the unknown number be 'x'.
Now, if we observe the numbers that are on the left or right side, we conclude that the difference between two numbers is increasing by 1 .
Right side: Left side:
8 - 2 = 6 9 - 4 = 5
15 - 8 = 7 ( 6 + 1) 15 - 9 = 6
22 - 15 = 7
Therefore, the next difference will also increase by 1 and will be equal to 8. So,
Adding 15 both sides, we get:
Therefore, the unknown number will be 23.
Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
Answer:
4/5
Step-by-step explanation:
To get the answer, find the GCF (greatest common factor) of the numerator and the denominator. Once you have the GCF, divide the 12 and 15 by that number. Here, the GCF is 3.
answer:
<u><em>!</em></u> 278 student tickets were sold
Answer:
Step-by-step explanation:
A triangular number is number that can be recomposed in the form of an equilateral triangle. Each triangular number is defined by:
Hence, evaluating n=100
