The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero. procedure gcd(a, b) if a > b then gcd(a, b) := gcd(b, a) else if a = 0 then gcd(a, b) := b else if a = 1 then gcd(a, b) := 1 else if a and b are even then gcd(a, b) := 2gcd(a/2, b/2) else if a is odd and b is even then gcd(a, b) := gcd(a, b/2) else gcd(a, b) := gcd(a, b − a) Use this algorithm to compute (a) gcd(124, 244) (b) gcd(4424, 2111).
Answers
Coding the given algorithm in python 3, the greatest common divisor of the values (124 and 244) and (4424 and 2111) are 4 and 1 respectively.
The program implementation goes thus :
def gcd(a, b):
#initialize a function named gcd which takes in two parameters
if a>b:
#checks if a is greater than b
return gcd (b, a)
#if true interchange the Parameters and Recall the function
elif a == 0:
return b
elif a == 1:
return 1
elif((a%2 == 0)and(b%2==0)):
#even numbers leave no remainder when divided by 2, checks if a and b are even
return 2 * gcd(a/2, b/2)
elif((a%2 !=0) and (b%2==0)):
#checks if a is odd and B is even
return gcd(a, b/2)
else :
return gcd(a, b-a)
A sample run if the program on the values given :
print(gcd(124, 244))
print()
#leaves a space after the first output
print(gcd(4424, 2111))
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Related Questions
What is the slope of the line ?
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Roots:
Polynomial Function:
Answers
Answer:
x³ - 11x² + 41x - 51Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
The polynomial is:
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51Ano po tawag dito pinapalipad po to lalagay nyo po yung shape fan blade sa stick tapos po lilipad.
Wag nyo po sagutin kung di po alam.
Mga tutors pasagot po di ko po kau mapili dahil Wala po pambayad
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Answer:
Flower stick hahhhahaHaha
Find x
Will be marked brainliest
Answers
Answer:
x = -49
Step-by-step explanation:
The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.
[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answers
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
what is the sequre of 9?
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The square root of 9 is 3.
√9=3
Hope this helps :)
A table is on sale for 32% off. The sale price is $459.
What is the regular price?
Answers
the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]
Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?
Answers
Answer:
18
Step-by-step explanation:
2 to 5 2+5=7 42/7=6
6x2=12. cooks
6x5=30 servers
servers subtracted by cooks equals difference
30-12=18
Reduce 45/36 fraction into the
lowest terms.
Answers
Answer:
[tex] \frac{5}{4} [/tex]
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
need help asap please !!
Answers
Answer:
g(3) = 13
Step-by-step explanation:
The function g(3) means you replace every x value in the g(x) equation with 3:
[tex]g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13[/tex]
Hope this helps!
Answer:
13
Step-by-step explanation:
putting the 3 there just means to replace all x's with 3. If you do that you get g(3) = 3^2 + 4 and if you solve that its 13
anyone good at maths?
Answers
1 ) 4 × 11 = 44 yd
____________________
2) 4 × 2 = 8 ft
____________________
3) 4 × 4 = 16 in
____________________
4) 4 × 6 = 24 ft
____________________
5) 4 × 18 = 72 in
____________________
6) 4 × 5 = 20 yd
____________________
7) 4 × 9 = 36 in
____________________
8) 4 × 13 = 52 yd
____________________
9) 4 × 10 = 40 ft
Answer:
I am good, but not for peremiter
Step-by-step explanation:
Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?
Answers
Answer:
$10.25 pounds of fruit
Step-by-step explanation:
3.25 x 2 = 6.5
2.50 x 1.5 = 3.75
3.75 + 6.5 = 10.25
A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
8 square units
B. 10 square units
O c. 12 square units
O D. 15 square units
Answers
Answer:
C
Step-by-step explanation:
Answer:
D. 15 square units
Step-by-step explanation:
Explanation shown in the screenshots of the graph.
Match question I need help
Please.
Answers
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answers
Answer:
y = 4
Step-by-step explanation:
3^3 + 14y - (25y - 13) = y + 7y - 9y
Exponents first.
27 + 14y - (25y - 13) = y + 7y - 9y
Distribute the negative sign from the parenthesis.
27 + 14y - 25y + 13 = y + 7y - 9y
Common terms.
27 + 13 = 40
14y - 25y = -11y
y + 7y - 9y = -y
40 - 11y = -y
Add 11 to both sides.
40 = 10y
Divide both sides by 10.
4 = y
Rearrange.
y = 4.
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answers
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550what are the correct answers whoever answers it correctly gets brainlist
Answers
Answer:
So the answer is... Hold on... Ok i did my research and the answer is........
Step-by-step explanation:
1. Economic
The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw
materials. Second, colonies served as a market for surplus manufactured goods.
2. Political
Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the
world. To achieve this, they wanted to control as much of the world as
possible. The nation’s greatness is measured by the quality and quantity
of its colonies. Folks wanted to plant the flag in as many places as
possible. Every country wanted recognition as a world power. They
wanted to improve their reputation among other European countries.
They wanted to increase their political power and prestige. Every country
was in competition with its rivals. You took territory – simply to prevent
your rival from getting it!
3. Military
Every imperialist country was worried about its own national security: The competition
among imperialist powers was vicious. One had to protect one’s own
country and its colonies. Every country wanted to gain military
advantage over its rivals. A colony could serve as a fueling station for
the Navy. A ship could stop and load up on supplies. Some spots in the
world, especially waterways, were strategically important. The Navy
was paramount: It must have freedom to travel to and from the
colonies.
4. Cultural
Social Darwinism was the prevailing belief in Europe. It explained why some countries were
rich and some were poor. People compete for survival. The strong survive.
The rich were naturally superior. The weak were unfit. Poverty was a sign of
being unfit. The poor were naturally inferior. The European colonizers were
the Superior Races. The African and Asian colonized were Inferior Races. The
Europeans regarded themselves as racially and culturally superior to the people
of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to
uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority
was prevalent.
5. Religious
The “missionary impulse”: Christianity is superior to all other religions. We must
spread Christianity to Asia and Africa. Religion encouraged imperialism. People
felt they needed to acquire territory in order to Christianize people. A serious
moral issue – Christianity is in direct conflict with Social Darwinism. Under
Christianity, all people are equal in God’s eyes. Under Social Darwinism, the
Europeans are superior and the Africans and Asians are inferior. There was also a
certain element of hypocrisy: While the Europeans spoke of uplifting people, they
were actually motivated by profit and greed.
Answer this question fast pls
Answers
Answer:
Lemons ( 27 ) = Cups ( 9 )
Cups ( 50) = Lemons (30)
help me again due today there is more question after
Answers
Given equation
[tex]\\ \sf\longmapsto 42=6b[/tex]
[tex]\\ \sf\longmapsto 6b=42[/tex]
Take 6 to right[tex]\\ \sf\longmapsto b=\dfrac{42}{6}[/tex]
[tex]\\ \sf\longmapsto b=7[/tex]
Option D
Find the slope given the coordinate points.
(12, 7) (-4, 2)
Answer as a fraction in reduced form.
Will mark brainliest if correct
Answers
m = rise/run = y2 - y1 / x2 - x1
m = 2-7 / (-4) - 12 = -5 / -16
m = 5 / 16
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 235t + 269.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Answers
20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION
Answers
Mark me as Brainliest Please
ill mark brainliest thanks
Answers
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
Add 4/9 +2/9 and simplify answer
Answers
Answer: 6/9 = 2/3
Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3
Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.
Answers
Answer:
25 free throws on Friday.
Step-by-step explanation:
On Monday made 20 free throws
On Friday made 25% more free throws on Friday than Monday
On Friday made 20 free throws + 25% of Monday free throws
On Friday = Monday throws + 25% × Monday throws
On Friday = 20 + (.25 × 20)
On Friday = 20 + 5
On Friday = 25
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Answers
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years? f(t) = 29,800(0.89)t f(t) = 26,522(0.89)t f(t) = 29,800(0.11)t f(t) = 26,522(0.11)t
Answers
Answer:
A) f(t) = 29,800(0.89)^t
Step-by-step explanation:The truck value decreases by 11% each year.
The present value of the truck was $29,800.
29,800 x 0.11 = 3,728 dollars lost from value.
29,800 - 3,728 = 26,522, the value of the truck after one year.
26,522 x 0.11 = 2,917.42 cash lost from value.
26,522 - 3,728 = 23,604.58, the value of the truck after two years.
Therefore, the answer is A) f(t) = 29,800(0.89)^t.
A pair of Beats Wireless Headphones normally cost $299.99. They are on sale for $229.99. Find the percent of markdown.
Answers
Answer:
$159.99
Step-by-step explanation:
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answers
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Answers
Answer:
2 1/3 minutesStep-by-step explanation:
Distance:
d = 7/8 mileSpeed:
s = 3/8 mpmTime:
t = d/st = 7/8 : 3/8 = 7/8 * 8/3 = 7/3 = 2 1/3 minAnswer:
Step-by-step explanation: