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Dvinal [7]
3 years ago
15

Let S(n) be the number of key comparisons done by MergeSort (Algorithm 4.5 on Page 175) when the keys are already sorted. (that

is, they are already exactly the way MergeSort will order them). Develop the recurrence relation, including boundary condition(s), for S(n). (This will be somewhat like the W(n) formula developed in the text for worst-case, but your S(n) is for the already-sorted-case.) Use the floor and ceiling operators as appropriate, and explain your reasoning.
Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

Step-by-step explanation:

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A welder is making a metal sphere the radius will be 115 cm what is the surface area of the metal sphere use 3.14 for
Maslowich

Answer:

166,106

Step-by-step explanation:

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3 years ago
In the expression what is the numerical coefficient in this question ?
bearhunter [10]

Answer:

-7

Step-by-step explanation:

The numerical coefficient of - 7yz^2 is - 7.

4 0
2 years ago
1. The fractions
sergey [27]

Answer:

3/7 =12/n

3n=7×12

3n=84

n=84÷3

n=28

3/7= t/21

3×21=7t

63=7t

t=63÷7

t=9

3/7 =k-1/2k+10

3(2k+10)=7(k-1)

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Step-by-step explanation:

3 0
2 years ago
PLSS help me with this question?
Xelga [282]

Answer:

Part a) By alternate interior angles

Part b) By vertical angles

Part c)  By AAA (Angle-Angle-Angle) Similarity Theorem

Part d) Triangles ABC and CDE are similar

Part e) b=\frac{2DE}{3}  or  b=\frac{15}{AC}

Step-by-step explanation:  

Part a)

we know that

If AB is parallel to DE

then

m<1=m<4 ------> by alternate interior angles

Part b)

we know that

m<5=m<6 -------> by vertical angles

Part c) we know that

The two triangles are similar by AAA (Angle-Angle-Angle) Similarity Theorem ------> The three corresponding angles are equal

so

m<1=m<4

m<5=m<6

m<3=m<2

Part d) we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

therefore

Triangles ABC and CDE are similar

Part e) Find the length side of b

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

so

\frac{AB}{DE}=\frac{BC}{DC}=\frac{AC}{CE}

substitute the values

\frac{3}{DE}=\frac{2}{b}=\frac{AC}{7.5}  

b=\frac{2DE}{3}

or

b=\frac{2*7.5}{AC}=\frac{15}{AC}

8 0
2 years ago
If f(x)=2x squared + 1 and g(x)=x squared-7 find (f-g)(x)
tiny-mole [99]

Answer:

x^2+8

Step-by-step explanation:

f(x)=2x^2+1 \\\\g(x)=x^2-7 \\\\(f-g)(x)= (2x^2+1)-(x^2-7)=x^2+8

Hope this helps!

7 0
3 years ago
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