The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix in 78125 seconds. She then takes another 25 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector Y.
The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors.

Answers

Answer 1

Matrix are used to show data in rows and columns

The estimated time to efficiently solve the square matrix A is 4907.8125 seconds

How to estimate the time to solve matrix A

The given parameters are:

Matrix size = 2000 by 2000

Time = 78125 seconds

Substitution time = 25 seconds

The time to solve the matrix is dependent on the size of the matrix, while the substitution time is fixed

The size of the similar matrix is 500 by 500

The similar matrix is 1/16 smaller than the original matrix of 2000 by 2000.

So, the time to factorize the matrix is:

[tex]Time = \frac{1}{16} * 78125\ seconds[/tex]

[tex]Time = 4882.8125\ seconds[/tex]

The estimate of the time to solve the new matrix is the sum of the time to factorize it and the substitution time.

So, we have:

[tex]Total = 4882.8125\ seconds + 25\ seconds[/tex]

This gives

[tex]Total = 4907.8125\ seconds[/tex]

Hence, the estimated time to efficiently solve the square matrix A is 4907.8125 seconds

Read more about matrix at:

https://brainly.com/question/1821869


Related Questions

100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.

Answers

I don’t understand what u would like for me to do, I would need more information of what u would like for me to do. Sorry but I can’t help unless I have more information

If 3a+5=12, what is the value of 6a+14?

Answers

Answer:For example, choice A is incorrect because if the value of 10x + 3 were 4, then it would follow that x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

Step-by-step explanation:

The answer is

28

3a + 5 = 12

subtract 5 from both sides

3a = 7

divide by 3 on both sides to isolate "a"

a = 7/3

Substitute 7/3 for "a" in the second equation

6(7/3) + 14

6 multiplied by 7/3 = 42/3 = 14

14 + 14 = 28

(4k3 +3k3) - (5k3 + 2k4)

Answers

Answer:

-2k

Step-by-step explanation:

Answer: You combine like terms

2k^3-2k^4

Find the value of x.​
Step by Step

Answers

Leave x alone and solve

Answer:

sorryi dont know

Step-by-step explanation:

help plssssssssssssssssss

Answers

Answer:

28.26 units³

Step-by-step explanation:

gi solved kopo yan

How many kilograms is a rice packet that weighs 750 g?
(Please answer quick!)

Answers

Answer:

0.750 kg

Step-by-step explanation:

Hi there ,

As you know 1 kg = 1000g

So when we convert g to kg then we divide the given value of grams by 1000.

So in this case we have 750 grams, changing it we have :

[tex]\frac{750}{1000}[/tex]

Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or [tex]\frac{750}{1000}[/tex] kg

Please mark me as brainliest if you found the above answer helpful

How to Calculate discount rate

Answers

Answer:

[tex]\frac{i\times d}{100}[/tex]

Step-by-step explanation:

To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.

For example:

A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.

[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]

The computer (after a 7% discount) costs "$646.35 dollars."

Hope this helps.

Of the following transformations, which of the following is not one that maintains congruence?
a. A dilation with a scale factor of 0.5
b. A reflection over the x-axis
c. A translation 1 unit left
d. A dilation with a scale factor of 1

Answers

Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow ​marbles, then how many red marbles would you expect it to​ contain? Explain.

Answers

30 maybe, not to sure, sorry if its wrong

Joel borrowed 518,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a
total of $20,953.80, at what rate did he borrow the money?

Answers

Answer:

  2.735%

Step-by-step explanation:

The amount due on principal P after t years at rate r is ...

  A = P(1 +rt)

Filling in the given values, we can solve for r:

  20,953.80 = 18000(1 +6r)

  20953.80/18000 -1 = 6r = 0.1641

  r = 0.1641/6 = 0.02735 = 2.735%

Joel's interest rate was 2.735%.

JADA, DIEGO, AND ELENA EACH USE THE SAME SPINNER THAT HAS FOUR (NOT NECESSARILY EQUAL SIZED) SECTIONS MARKED A, B, C, AND D.

JADA SAYS, "THE PROBABILITY OF SPINNING B IS 0.3 BECAUSE I SPUN 10 TIMES, AND IT LANDED ON B 3 TIMES."
DIEGO SAYS, "THE PROBABILITY OF SPINNING B IS 20% BECAUSE I SPUN 5 TIMES, AND IT LANDED ON B ONCE."
ELENA SAYS, "THE PROBABILITY OF SPINNING B IS 2/7 BECAUSE I SPUN 7 TIMES, AND IT LANDED ON B TWICE."

Based on their methods, which probability do you think is most accurate? Explain your reasoning.

Answers

It will most likely be Jada’s probability because Jada spun the most times.

Which decimal is less than 2.87? 2.859 C. 2.971 b. 2.8711 d. 2.88 Please select the best answer from the choices provided ​

Answers

Answer:

Step-by-step explanation:

2.859 is less than the rest

Answer:

2.859 is ur answer.

..............

In-n-Out sells their cheeseburger for 4.50 but they charge .50 for extra patties. Carls Jr. sells a cheeseburger for 4.25 and will charge .75 cents for an extra patty. When will the burgers cost the same amount? How many extra patties do they have to order? Solve using tables.

Answers

Answer:

just add 0.75 on the bottom

Step-by-step explanation:

Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......

Answers

Its D i hope that helped

Bella needs 15 quarters of paint for one wall in her cellar she has 2 1/4 gallons left over from painting the other walls she has another 5 quarts that her neighbor gave her is that enough paint

Answers

0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.

She needs 15 quarters of paint  for one wall .

She has 2 1 / 4 gallons left over from painting the other walls and she also has another 5 quarts that her neighbour gave her.

Therefore,

Conversion of measurement units

4 quarts = 1 gallon

5 quarts = 5 / 4 gallons

Then,

total gallon = 9 / 4 + 5 / 4 = 14 / 4  = 7 / 2 gallons

Therefore,

1 gallons = 0.01301053418982 quarters

7 / 2 gallons = ?

cross multiply

number of quarters = 3.5 × 0.01301053418982

number of quarters = 0.0455 quarters

Therefore, 0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.

learn more on algebra here; https://brainly.com/question/821377

(6,5) and (3, 7.5)
slope:

Answers

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

Substitute the points into the formula format:

[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]

Solve:

[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]

[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]

The slope equals -5/6.

The answer need help fast please

Answers

Answer:

D.) Equation (4)

Step-by-step explanation:

1. y= (2)+6  =8

2. y=2(2)+4 =8

3. y= 3(2)+2 =8

4. y=5(2)-4 =6

Complete the function operation.
For the function [tex]\frac{32}{x+3}[/tex], find [tex](g^{-1} * g)(5)[/tex]

Answers

Answer:

5

Step-by-step explanation:

[tex]g(x)=\frac{32}{x+3}\\\\\implies g^{-1}(x)=\frac{32}{x}-3\\\\g^{-1}o \ g=[g(g^{-1}(x))]=\frac{32}{\frac{32}{x}-3+3}=x\\\\\implies (g^{-1}o \ g)(5)=5[/tex]

Find the volume of a sphere, whose diameter is 8 mm.(Take n = 3.14) (Round your answer to the nearest tenth).​

Answers

Given:-

[tex] \\ [/tex]

Diameter sphere = 8mm[tex]\small \pi = 3.14[/tex]

[tex] \\ [/tex]

To find:-Volume of sphere

[tex] \\ [/tex]

Solution:

To find volume of sphere first we have to convert Diameter into radius .

Diameter = 2 radius

So:-

⇢Diameter = 2 radius

[tex]\\[/tex]

⇢Radius = Diameter/2

[tex]\\[/tex]

⇢Radius = 8/2

[tex]\\[/tex]

⇢Radius = 2 × 2 × 2/2

[tex]\\[/tex]

⇢Radius = 2 × 2/1

[tex]\\[/tex]

⇢Radius = 4/1

[tex]\\[/tex]

⇢Radius = 4 mm.

[tex]\\[/tex]

Now Finally Let's find volume of sphere.

We know:-

[tex]\\[/tex]

[tex]\star\boxed{\rm Volume~of~sphere=\frac{4}{3}\pi r^3}[/tex]

so:-

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\frac{4}{3}\times 3.14 \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4\times 4\times 4\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=1.33\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{1.33\times314 \times 64}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{26,727.68}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\[/tex]

[tex]\\\\[/tex]

[tex] \therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}[/tex]

A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?

Answers

Answer:

17.39

Step-by-step explanation:

48+a = 90

x= 42

sin 42 = x / 26

x = 17.39

The quotient of 10 and a

Answers

Answer:

The answer I believe is 10? Sorry if i am wrong

Step-by-step explanation:

in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10

Find the measure of x

Answers

Answer:

x=3.24

Step-by-step explanation:

cos(29)=x/3.7

x=3.7 cos(29)

x=3.24

Hope it helps!

ANSWER PLS FREE BRAINLIEST

Answers

Answer:

[tex]x = \frac{-1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x} = -8[/tex]

[tex]2 = -8x[/tex]

[tex]x = \frac{-2}{8}[/tex]

[tex]x = \frac{-1}{4}[/tex]

Answer:

[tex]\sf x=-\cfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{2}{x}=-8[/tex]

[tex]\sf \cfrac{2}{x}x=-8x[/tex]

[tex]\sf 2=-8x[/tex]

[tex]\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}[/tex]

[tex]\sf x=-\cfrac{1}{4}[/tex]

x y
−1 −10
3 14

y= ?x + (?)

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

im stumped on this question. someone help me plss​

Answers

Answer:

One of the answers could be linear

Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Solutions can be represented by coordinates (p,c), where p represents the number of bags of popcorn sold and c represents the number of cups of lemonade sold. Is the coordinate (10,45) a solution to the inequality? Explain your reasoning or show your work.

Answers

3x + 2y ≥ 120

you are asking me to confirm whether the below statement is true

10 * 3 + 45 *2 ≥ 120 ?

30 + 90 = 120

120 ≥ 120

its not greater but its equal which means it is a possible solution

What is the measure of angle Y in this figure

Y=____ degrees

Answers

Answer:

163

Step-by-step explanation:

What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees.  That means the 163-degree angle + either the x or the z angle would equal 180 degrees.  The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal.  That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle.  Hope this helps with more than just this problem!

In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?

Answers

Answer:

It means there is no chance this will happen or in other words a 0% chance

Step-by-step explanation:

Emily has some marbles. After Mrs. Kim gave her another 21 marbles, the number of marbles became four times the number of marbles at first. How many marbles does Emily have now?​

Answers

Answer:

Emily has 84 marbles now

Step-by-step explanation:

21×4

=84

How do you do this problem and show work

Answers

Answer

the answer is 16 but i cant tell if there is anything after that is there?

Step-by-step explanation:

Answer:

1/x^8

Step-by-step explanation:

x^3*x^2 = x^5

x*x*x*x*x*x*x = x^7

x^5 / x^7 = 1/x^2

(1 / x^2)^4 = 1^4 / x^2*4 = 1/x^8

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