The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.
The LU decomposition version of Gauss elimination involves 3 phases which are :
decomposition forward-substitution back-substitution.The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.
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find the value of each variable using sine and cosine. round your answers to the nearest tenth
Answer:
x=9.5 and y=15.3
Step-by-step explanation:
to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse
you put in a calculator sine (32) x 18 and get 9.538546756
so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5
to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse
cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3
The value of x is 9.54.
The value of y is 15.3.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
From the figure,
Sin 32 = x / 18
Cos 32 = y / 18
Now,
Sin 32 = 0.53
Cos 32 = 0.85
Now,
0.53 = x / 18
Multiply 18 on both sides.
x = 0.53 x 18
x = 9.54
0.85 = y / 18
Multiply 18 on both sides.
y = 0.85 x 18
y = 15.3
Thus,
The value of x is 9.54.
The value of y is 15.3.
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PLEASE HELP PLEASEEEE
PLEASE I WILL GIVE YOU COOKIES.
Find the range of the function f(g)=3g-5 for the domain {-2,0,2}
{-9, -4, 5}
{-2, 0, 2}
{ -13, -7, -3}
{-11, -5, 1}
Answer:
option 4 {-11, -5, 1}
Step-by-step explanation:
range: set of output
f(-2)=3(-2)-5=-11
f(0)=3(0)-5=-5
f(2)=3(2)-5=1
How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9
Answer:
Step-by-step explanation:
1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9
Is xy= 60 a direct variation or inverse variation
Answer:
Inverse variationStep-by-step explanation:
Direct variation:
[tex]\dfrac{y}{x}=constant[/tex]
Inverse variation:
[tex]xy=constant[/tex]
We have
[tex]xy=60[/tex]
it's an inverse variation.
2 + − 1 ( − ) + 7 ( 2 − )
Answer:
Step-by-step explanation:
15
What is the first correct step in solving the inequality-4(3-5x)>-6x+9?
Answer:
follow PEMDAS (parentheses exponents multiplication division add subtract)
sin (3x) dx = ?
find the integral
Answer:
[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]
General Formulas and Concepts:
Calculus
Antiderivatives - Integrals
Integration Constant C
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {sin(3x)} \, dx[/tex]
Step 2: Identify Substitution Variables
u = 3x
du = 3dx
Step 3: Integrate
[Integral] Rewrite: [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply: [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute: [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.
3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.
Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
A) square root 6
B) 6
C) 6 square root 2
D) 12
E) 12 square root 2
Please help
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Answer:
6 square root 2
Step-by-step explanation:
Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to finance?
What is the first step in solving 5x-2=3
Answer:
5x-2=3
5x=3+2
5x=5
x=5÷5
x=1
Which one is the correct answer?
Answer:
3
Step-by-step explanation:
6 (3x+5)=6 (3x)+6 (5)
=18x+30
DISTRIBUTIVE LAW OF ADDITION
Answer:
#3
Step-by-step explanation:
6(3x+5) = 6(3x) + 6(5) = 18x +30
Can I have brainliest please..? hee hee
Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Answer:
a is -3
Step-by-step explanation:
negative 3 minus 2 is negative 5 plus 3 is negative 2
Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
In an Arithmetic progression, if d= -4, n=7, an=4, then find a.
Answer:
a = 28
Step-by-step explanation:
[tex] a_n = a + (n-1) d[/tex]
[tex] 4 = a + (7-1) (-4)[/tex]
[tex] 4 = a + 6 (-4)[/tex]
[tex] 4 = a - 24[/tex]
[tex] 4 +24= a [/tex]
[tex] a = 28[/tex]
Hello random person and it would be very helpful if you know this answer!
Write the phrase as an expression.
1. 15 decreased by the product of a number x and 4.
Answer:
4x - 15
hope this helped
ANSWER QUICKLY PLEASE
Part A
For the following figure, the value of x is
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
A) 16in
B) 64in
C) 8 square root of 2
D) 4 square root of 2
Option C is correct, the value of y is 8 square root of 2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of y.
The given triangle is right angle triangle with opposite side of 8 inches.
Hypotenuse is y and adjacent side is x.
Now let us solve for sinB
sin45 =8/y
1/√2=8/y
Apply cross multiplication
y=8√2
8 square root of 2
Hence, option C is correct, the value of y is 8 square root of 2.
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A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
if m2=39 and m3=30 what is m1
Answer:
m1 = 48
Step-by-step explanation:
this s a sequence of -9
it could only be + square by 3 if shown in question initially as squared m^2 so we cna presume the answer is m = - 9 m1 = 48
Answer:
i cant post the official answer because its "not school related" so i'll post it again :)
Step-by-step explanation:
add 51+18 and you have your answer enjoy :D
A train travels 150 km in the same time that a plane covers 525 km. If the speed of the plane is 20 km per hr less than 4 times
the speed of the train, find both speeds.
Answer:
Step-by-step explanation:
I. 2a + 2b - c + d = -5
II. a + b + d = -2
III. 3a - b + 2c -d = 18
IV. 4b = -c
Hint:
Solve for c first in IV.
Solve for any variable in II next.
Solve I then.
Answer:
Wat
Step-by-step explanation:
Kind of question is this
Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.
Answer:
1234567891011121314151617181920
no entiendo en español menos en ingles
Of the people who fished at Clearwater Park today, 81 had a fishing license, and 9 did not. Of the people who fished at Mountain View Park today, 60 had a license, and 40 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license? Do not round your answer.
Answer:
9/25 = the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license
Step-by-step explanation:
There are 90 fishers at Clearwater and 100 fishers at Mountain View
The probability of a fisher at Clearwater had a license = 81/90 = 9/10
and the probability of a fisher at Mountain View
did not have a license = 40/100 = 2/5
the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license = 9/10(2/5) = 9/25
Help pls!!!!!!!!!!!!!!!!!
Answer:
the answer is 8/5
Step-by-step explanation:
LCM = 10
(14+2)/10 = 16/10
= 8/5
please give me brainlist if it is helpful for you
Is 1/3 less than or greater than 5?
Answer:
Less than
Step-by-step explanation:
not a whole #
Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share
witch is better gacha life or gacha club or anime or animal crossing
Answer:
If you want i could make a goup with animal crossing, I also have a anime group but thats at school so i have to cross that out and i dont play gatcha life
Step-by-step explanation:
Please help me with this ᕕ( ᐛ )ᕗ thank you!
Answer:
B
Step-by-step explanation:
We can create the equation step-by-step:
Each row of bricks is 6.5cm and the number of row of bricks is r: 6.5r
Total of height of wall: = 259cm
Top row is 1cm shorter: -1cm
Combine all the terms together and we get: 6.5r - 1 = 259
Which means each row of bricks is 6.5cm but minus 1cm from the top to get 259cm the total :D
A cup of beans costs N160. How much
would a similar tin, three times the height
and diameter, full of beans cost?
Answer:
Below.
Step-by-step explanation:
The volume will be 3^3 = 27 times the volume of the small cup.
Answer is N160 * 27
= N4320.
The cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
A cup of beans costs N160.
Cost of volume of a small cup = N160
Let V be the volume of a similar cup
V = 3³ = 27
The cost = 27×160 = N4320
Thus, the cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,
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