<em>Evaluate 1/4c+3d when c=6, and d=7.</em>
<em />
<em> </em>
Replace c with 6, and d with 7:-
On simplification,
On further simplification,
On further simplification,
Adding the numerators,
Finally, Reducing the fraction:-
<h3>Good luck with your studies.</h3>
Answer:
First, let's address the general case.
When we have two points (a,b) and (c,d)
The distance between those points can be written as:
D = √( (a - c)^2 + (b - d)^2)
In this case, the points are:
(-2,4) and (2,4)
Then the distance is:
D = √( (-2 - 2)^2 + (4 - 4)^2) = √(-4)^2 = 4.
The equivalent expression to this is: |-2| + |2|
because:
I-2I = 2
I2I = 2
I-2I + I2I = 2 + 2 = 4.
Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Answer:
The running time is quadratic (O(n²) )
Step-by-step explanation:
For the set up, we have a constant running time of C. The, a log-linearsorting is called, thus, its execution time, denoted by T(n), is O(n*log(n)). Then, we call n times a linear iteration, with a running time of an+b, for certain constants a and b, thus, the running time of the algorithm is
C + T(n) + n*(a*n+b) = an²+bn + T + C
Since T(n) is O(n*log(n)) and n² is asymptotically bigger than n*log(n), then the running time of the algorith is quadratic, therefore, it is O(n²).
