Answers
The value of full positive integer k such that [tex]O(n^k)[/tex] is the most restrictive polynomial-time upper bound of f(n) are as follows : (A) 9 (B) no integer exists (C)5/3(not an integer) (D)no integer exists (E) [tex]3e^{99}[/tex]
Using the Lower and Upper Bound Theory, it is possible to identify the algorithm with the lowest level of complexity. Let's quickly review what Lower and Upper bounds are before we can understand the theory.
If there are two constants C and N such that U(n) = C*g(n) for n > N, then g(n) is the Upper Bound of A. Let U(n) be the running time of an algorithm A(say). An algorithm's upper bound is displayed using the asymptotic notation Big Oh(O).If there are two constants C and N such that L(n) >= C*g(n) for n > N, then g(n) is the Lower Bound of A. Let L(n) be the running time of an algorithm A(say). The asymptotic notation known as Big Omega displays an algorithm's lower bound.A)[tex]2^{lg(3n+4n+5)}+lg {\spaceh} n \inO(n^k)[/tex]
or, [tex]O(2^{lgn^9}+lgn)\inO(n^k)[/tex] since [tex]3n^9+4n+5=O(n^9)[/tex]
or, [tex]O(2^{lgn^9})\in O(n^k)[/tex] as [tex]2^m+lg m=O(2^m)[/tex]
Applying lg 2 on both sides we get:
[tex]lg_22^{lgn^9}=lg_2n^k[/tex]
solving we get:
k=9 × lg2 × lg n
At n=1/2
k=9
Hence the minimum integer for K is 9.
B) [tex]7lgn+13lg^5n\in O(n^k)[/tex]
Solving for k we get:
k=lgₙ(lg⁵n)
C) [tex]\sqrt[3]{7n^5+2n^3-4}\in O(n^k)[/tex]
Solving by exponent rule we get:
[tex]O(n^{5/3})\in O(n^k)[/tex]
k=5/3
D)[tex]13lg2^{3^n\inO(n^k)}[/tex]
or, [tex]k=lg_n(lg2^{3^n})[/tex]
E)[tex]7^{20!+1} \inO(n^k)[/tex]
As we don't have any term of n on the Left Hand Side, therefore no most restrictive polynomial-time upper bound exist for [tex]O(n^k)[/tex]
[tex]k=e^{99}[/tex]
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Related Questions
Use inductive reasoning to find the next two terms in the sequence. What are the next two terms?
3/4, 2/3, 5/8, 3/5 …
Answers
by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
We are given a sequence:
3 / 4, 2 / 3, 5 / 8, 3 / 5
We need to find the next two terms by using the inductive reasoning.
Now, we can also write this sequence as:
3 / 4, 4 / 6, 5 / 8, 6 / 10
Now, we can see that, in each term, the numerator is increasing by 1 and the denominator is increasing by 2 units.
So, the 5th term will be:
Numerator = 6+ 1 = 7
Denominator = 10 + 2 = 12
5th term = 7 / 12
And the 6th term will be:
Numerator = 7 + 1 = 8
Denominator = 12 + 2 = 14
6th term = 8 / 14 = 4 / 7
Therefore, by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
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Consider the following polygon. Determine the measure of both angles A and B. A= (16x+7) B= (13x+2)
please help me T - T
Answers
The measure of both angles A and B
Angle A= 16(7.8)+5= 129.8
Angle B =13(7.8)+4= 105.4
What is Hexagon?A hexagon can be defined as a closed two-dimensional polygon with six sides.
Hexagon has 6 vertices and 6 angles also.
Hexa means six and gonia means angles.
According to the given statement;
Hexagons have six sides, and so does this figure.
You can calculate the degrees in a shape by doing (n-2)180. With n being the number of sides(6)
There are 720 degrees in a hexagon.
1) Now write the following equation:
(16x+7)+(13x+2)+95+170+155+88=720
2) Combine alike terms:
26x+517=720
3) Subtract 538 from both sides:
26x=203
4) Divide both sides by 26
x=7.8
5) Plug in 7.8 as X in the original two equations for A and B
A- 16(7.8)+5= 129.8
B- 13(7.8)+4= 105.4
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NEED HELP!! will give brain list!
Answers
Answer:
-5/40
Step-by-step explanation:
(1/40)(4) + (10/40)(2) - (29/40)(1)
Which is the best description of range?
The repeated values in the input set.
The -values on a graph.
The connection between sets of values.
The input values of a function.
Answers
The best description of range is (b) The y-values on a graph.
How to determine the best description of range?A graph is characterized by the following concepts:
DomainRangeThe domain of a function is the set of input values of the graph
On the other hand, the range of a function is the set of output values of the graph
This in other word means that the range is the y-values on a graph.
Hence, the best description of range is (b) The y-values on a graph.
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Answer:
its B
Step-by-step explanation:
the y values on the graph
i did the quiz and got a 100
Look at the imagine. Help asap.
Answers
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
What is the domain and range of this function
Answers
Laine reads 200 pages in 240 minutes.
If Laine reads 25 pages at the same rate, how long will it take her?
Answers
Laine will take 30 minutes to read 25 pages.
Given Laine reads 200 pages in 240 minutes.
We need to find the time taken to read 25 pages, if Laine reads at the same rate.
First, let us find out the time taken to read one page.
240 minutes are taken to read 200 pages
This implies that the time taken to read 1 page = 240/200 minutes
This implies that the time taken to read 1 page = 6/5 minutes
Therefore, the time taken for 25 pages = 25 ×(6/5) minutes
⇒ The time taken for 25 pages = 30 minutes
Hence, Laine will read 25 pages in 30 minutes, if she reads 200 pages in 240 minutes.
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explain how to graph the equation on a coordinate plane: y = 3x - 5
lations below are also functions?
Answers
To graph an equation on the co-ordinate plane we plot points that satisfy the given equation .
The graph of a linear equation is two variables gives a straight line on the co-ordinate plane.
To graph a straight line on the co-ordinate plane we take three points or solution of the equation on the line and join them.To calculate the solutions(points) of the line we take some values of x and calculate the corresponding values of y.Then we make a table of the points and graph the equation of the line by joining the points.the given equation is y=3x-5
at x=0 ,y=3×0-5 or y=-5
at x=2 , y=(3×2)-5 or y=1
at x=-1,y=(3×-1)-5 or y=-8
Now we make the table to get the desired points.
x y point
0 -5 A (0,-5)
2 1 C(2,1)
-1 -11 B (-1,-8)
The graph for the equation y=3x-5 is drawn.
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8
LO
5
15
4
1
In the figure shown above, all the corners form right angles. What is the area of the figure in squ
O 33 square units
O 66 square units
O 70 square units
O 120 square units
Answers
The area of the given figure is 70 square units, that is, option 3.
The area of a rectangle = length × breadth
Here, we need to find the area of the shaded region.
To do this, we will subtract the area of the smaller rectangle from the larger one.
The area of the larger rectangle = 8 × 15
= 120 square units
Now, the we have one side of the smaller rectangle which is 5, the other side will be (15 - 4 - 1) = 10 units.
The area of the smaller rectangle = 10 × 5
= 50 square units
Thus, the area of the shaded region = 120 - 50
= 70 square units
Hence, the area of the figure is 70 square units.
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Your question was incomplete. Please find the missing figure below.
For the rational function f(x)=2−x4x+6, find the point on the graph at the function value f(x)=1.
Answers
The point on the graph at the function value f(x)=1 is x = -4/5
How to find the point on the graph at the function value f(x)=1?The equation of the function is given as:
f(x) = 2 - x4x + 6
Rewrite the rational function, properly as follows:
f(x) = 2 - x/4x + 6
When f(x) = 1, we have:
2 - x/4x + 6 = 1
Cross multiply
2 - x = 4x + 6
Collect the like terms
4x + x = 2 - 6
Evaluate the like terms
5x = -4
Divide by 5
x = -4/5
Hence, the point on the graph at the function value f(x)=1 is x = -4/5
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What is 961 divided by 48???
Answers
Answer:
20.02
Step-by-step explanation:
maths calc
A recipe calls for 4 boxes of rice to serve 13 people.
If you want to serve 39 people, what should you do?
CLEAR CHECK
Answers
Answer:
Use 12 boxes of rice
Step-by-step explanation:
4/13 becomes x/39
to get from 13 to 39 you multiply 13 by 3 so you do the same to 4
3*4 is 12
Solve for x:
A) 27
C) 39
E) 30
79⁰
(2x+1)
B) 23
D) 35
Answers
Answer:
C 39
Step-by-step explanation:
took the test
James wants to have earned $7,592 amount of interest in 16 years. Currently he finds that his
annual interest rate is 9.04%. Calculate how much money James needs to invest as his principal in
order to achieve this goal..
I=p.r.t
Solve for p
r = 8.63% or .0863
t = 24 years
I = $8613
Round answers to the nearest hundredth (two decimal places). The answer will not have a dollar
sign, and be rounded to the nearest cent.
I
Answers
a) James have to invest 5,248 dollar and 89 cent to earn $7,592 amount of interest in 16 years .
b) Principal amount of money , which is to be invested is 4158 dollar and 46 cent .
This is a problem from simple interest system. We have to use the given formula, I = p.r.t to solve this problem.
a) James wants to have earned $7,592 amount of interest in 16 years. So, here the time period is 16 years and the interest rate is 9.04% and we have to find the principal amount.
I = p. 16. ( 9.04% )
Amount of interest = $ 7592
Time period = 16 years
rate of interest = 9.04 %
7592 = p . 16 . ( 904/10000 )
p = 75920000/ 16 . 904
or , p = $5,248.89 ≈ $5249
James have to invest $5,248.89 to earn $7,592 amount of interest in 16 years .
b) We have to use the given formula to find the value of p or the principal amount of money .
Rate of interest = 8.63% or .0863
time period = 24 years
Interest = $8613
We can write ,
p = I / r.t
p = 8613 / 24 . ( .0863 ) = $ 4,158.458 = $ 4,158.46
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What is the least common multiple of 70, 60, and 50?
60
180
210
2,100
210,000
Answers
Round to the nearest ten
thousand.
123,045,067
Answers
Answer: 123050000
Step-by-step explanation:
don't take this down again :)
It is 29.6°C at sea level. The environmental lapse rate between sea level and 1500 meters is 5.5 °C/1000m.
The environmental lapse rate between 1500 meters and 4000 meters is 12.1°C/1000m. The normal lapse rate
exists above 4000 meters. What will the temperature be at 6000 meters? Calculate your answer to one
decimal point.
Answers
The temperature at 6000 meters would be -21.9°C.
The lapse Rate refers to the rate of decline in air temperature with relation to increase in altitude.
Here, the lapse Rate is given as follows-
for 0-1500 meters: 5.5 °C/1000m
for 1500-4000 meters: 12.1°C/1000m.
and above 4000 meters: normal lapse rate
The Normal lapse Rate is 6.5°C per 1000 meters.
Now,
surface temperature at sea level = 29.6°C
the decline in temperature up to 1500m would be-
5.5°C/1000×1500 = 8.25°C
So the temperature at 1500 meter is 29.6 - 8.25 = 21.35°C
Further, the decline in temperature up to 4000m would be-
12.1°C/1000×2500= 30.25°C
So Temperature at 4000 meters is 21.35 - 30.25 = -8.9°C
Now, above 4000 meters, decline in temperature would be-
6.5°C/1000×2000= 13°C
So temperature at 6000 meters would be
-8.9°C - 13°C = -21.9°C
Thus, the temperature at 6000 meters would be -21.9°C
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45 is added to the data set 9, 1, 9,7, 2
Answers
The new data set is the {54,46,54,52,47}.
According to the statement
We have to find that the value of the data set.
So, For this purpose, we know that the
A data set is a collection of related, discrete items of related data that may be accessed individually or in combination or managed as a whole entity.
From the given information:
45 is added to the data set 9, 1, 9,7, 2
It means the data set is the
{ 9, 1, 9,7, 2}
Then the number 45 is added into the each elements of the data.
Then
9+45 = 54
1+45 = 46
9+45 = 54
7+45 = 52
2+45 = 47.
The new data set is the {54,46,54,52,47}
So, The new data set is the {54,46,54,52,47}.
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Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50, not including the tip. Which equation could be used to determine m, the number of miles in the taxi ride?
Answers
The required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
Given that,
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of miles be m,
Cost of the taxi of m miles = 3.50m
according to the question,
2.50 + 3.50m = 79.50
Thus, the required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
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please help ill mark you brainly thanks
Answers
Answer:
the answer is c(4)
Step-by-step explanation:
30/2=15
30/3=10
30/4= not an interger(7.5)
30/5=6
30/6=5
this is the reason why c is not an interger because all other is a whole number while c is a decimal
05601
4. Some chemistry students estimated that a small block of copper would weigh 500 grams. The
actual mass of the copper was 428 grams. What is the percent of error to the nearest hundredth
percent?
The percent of error to the nearest hundredth percent is
%.
Answers
The percent of error to the nearest hundredth percent is 16.82 % when the estimated mass is 500 g and the actual mass is 428 g.
We are given that:
Some students estimated that a small block of Copper will have the mass = 500 g
Estimated mass = 500 g
But now, the actual mass was found out and it came = 428 g
Actual mass = 428 g
The error in estimation was:
Error = 500 g - 428 g
Error = 72 g
Percentage of error = 72 g / 428 g × 100
Percentage of error = 7200 g / 428 g %
Percentage of error = 16.82 %
Therefore, we get that the percent of error to the nearest hundredth percent is 16.82 %.
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4.Add 13.24 + 35.67 +4.321
please explain in number form and as little as possible but still explaining
Answers
Answer:
Step-by-step explanation:
it should be 53.231 i think
Divide. 22 divided 8956 Enter your answer in the boxes as a mixed number in simplest form.
Answers
I'm going to assume you meant 89/56 and not 8965 due to the fact you are asking for a mixed number answer.
[tex]=\frac{22}{1}\div \frac{89}{56}[/tex]
[tex]=\frac{22}{1}\times \frac{56}{89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]\frac{22\times \:56}{1\times \:89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1232}{1\times \:89}[/tex]
[tex]=\frac{1232}{89}[/tex]
[tex]13 \frac{75}{89}[/tex] <- Convert to mixed number and there is your final answer
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The lines below are perpendicular. If the slope of the green line is 2/3, what is the slope of the red line? m = A. 2/3B. – 2/3C. –3/2 D. 3/2
Answers
Answer: c
Step-by-step explanation:
C is correct
Name the property shown 0+8=8
Answers
Answer:
Step-by-step explanation:
commutative
5. identify
Why do you think it is important to follow the order of operations? What will happen if you ignore it?
Answers
Answer: It is important to follow the order of operations because you want to make sure you get an accurate result and it ensures that you can understand and approach a mathematical problem easily. It's also important too because it sets a standard of how to solve equation so without it, equations could have multiple answers and that won't be right.
Which fraction is greater, 35/109 or 36/104?? To explain your answer, use our definition of fraction along with reasoning other than finding common denominators, common numerators, cross-multiplying, or converting to decimals.
Answers
The greater proportion is 36/104 since 34.62% is greater than 32.11%.
What is percentage?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) indicates the hundredth part; consequently, 100 percent represents the complete amount and 200 percent specifies times the supplied quantity.
According to the given data:Given fractions are = 35/109 and 36/104
finding the greater fraction we express them as a percentages:
So the first fraction will be:
(35/109 ) * 100
= 3500/109
= 32.11%
For the second equation:
(36/104) * 100
= 3600/104
= 34.62%
The greater proportion is 36/104 since 34.62% is greater than 32.11%.
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how to solve tangent
Answers
Step-by-step explanation:
tan x = 1 / (cot x)
Tangent Formula Using Sin and Cos
We know that sin x = (opposite) / (hypotenuse), cos x = (adjacent) / (hypotenuse), and tan x = (opposite) / (adjacent). Now we will divide sin x by cos x.
(sin x) / (cos x) = [ (opposite) / (hypotenuse) ] / [ (adjacent) / (hypotenuse) ] = (opposite) / (adjacent) = tan x
Thus, the tangent formula in terms of sine and cosine is,
tan x = (sin x) / (cos x)
Solve the system of equations and choose the correct ordered pair. y=-2x+4 y=x-2
Answers
Answer:
(-6, -8)
Step-by-step explanation:
We have the following system of equations:
[tex]y = 2x+4[/tex] (1)
and
[tex]y=x-2[/tex] (2)
Set (1) = (2) since the LHS is y in both
We get
[tex]2x + 4 = x - 2[/tex]
Subtract x from both sides:
[tex]2x + 4 - x = x - 2 -x[/tex]
[tex]x + 4 = -2[/tex]
Subtract 4 from both sides
[tex]x + 4 - 4 = -2 -4[/tex]
[tex]x = -6[/tex]
Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]
So the solution is (-6, -8)
The trapezoids are similar. What is the value of x? 50 75 35 7 10
Answers
Answer:
The correct value of x is 15.
Step-by-step explanation:
Each side of the larger trapezoid is 5 times each corresponding side of the smaller trapezoid.