Answer:
pentagon
Step-by-step explanation:
it a regular polygon
Answer:
(6n
3
−8n
2
−4n−3)
Step-by-step explanation:
Answer:
Maximum rate change |f| = √65
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Step-by-step explanation:
Given that;
f(x, y) = 4y √x, (4, 1)
{ x=4 and y=1 }
Maximum rate of change occurs with the gradient vector;
f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]
we substitute in our value of x and y
f = 2(1)/√4, 4√4
f = 2/√4, 4√4
f = ( 1, 8 )
Maximum rate change |f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)
Maximum rate change |f| = √65
Direction = f / |f|
we substitute
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Answer:
52.16
Step-by-step explanation:
So, Lets find out the discount first. Since the shoes are 30% off, that means the shoes are 70% of their original price, so lets multiply the original price of 69 by .7. 69*.7=48.3
Now to find the sales tax we need to multiply the price we got finding the sale by 1.08 since the sales tax is added on not removed from the price. 48.3*1.08=52.16
The prices after the sale and including tax is 52.16
Answer:
29
Step-by-step explanation:
it's arithmetic sequence.
it has a basic equation like this
Un = a + (n-1)d
a = U1 = first number in sequence
Un = number in n-th term
d = difference
U9 = 101 + (9-1)(-9)
U9 = 101 - 72
U9 = 29
so the 9th term is 29