Answer:65.15
Step-by-step explanation:
Answer: Hello there!
we have the function f(x) = IxI/x
Then this function can be piecewise writen as:
f(x) = 1 if x > 0
f(x) = -1 if x < 0
because:
suposse that n is a number greater than 0, then:
f(n) = InI/n = n/n = 1
and this is independent of the number n, so for all the positive values of x, we have f(x) = 1
and
f(-n) = I-nI/(-n) = n/(-n) = -1
and again, this does not depend on the value of n, so for all the negative values of x, we have f(x) = -1.
On the other hand, the Heaviside function is defined as:
H(x) = 1 if x>0
H(x) = 0 if x<0
Then the difference is that, when the Heaviside function takes the value of 0 for negative values of x, our function f(x) takes the value of -1 for negative values of x.
Answer:
(A) 125 scoops
(B) 31 scoops
Step-by-step explanation:
The volume of a cup in terms of radius and height is ...
V = (1/3)πr²h
The radius is half the diameter, so the volume in terms of diameter is ...
V = (1/3)π(d/2)²h = (π/12)d²h
The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...
n = (4000π/3)/((π/12)d²h)
n = 16000/(d²h)
__
(A) The number of cups required of diameter 4 and height 8 is ...
n = 16000/(4²·8) = 125
125 scoops are required to empty the sink
__
(B) The number of cups required of diameter 8 and height 8 is ...
n = 16000/(8²·8) = 31.25 ≈ 31
31 scoops are required to empty the sink
To find the solution, simply take 3 and divide it by 12. 3/12 as a fraction would be simplified down to 1/4 or 0.25. Therefore, each student would receive one quarter of a pizza.
Answer:
Therefore, there 16 chances of getting a spade OR a five.
Step-by-step explanation:
