For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.

Note: A variable in the pattern is allowed to match anything in the other structure.

What do the uppercase letters X,Y represent?

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

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)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

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Answer:

8×+6×-5×{2}

8×+6×-10×

14×-10×

4×

calculation: 2x(4+3)-5x[4-(9-7)]

2x × 7-5x [4-(9-7)]

14x - 5x [4-(9-7)]

14x - 5x [2]

14x -5x × 2

14x - 10x

4x

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

Answer:

4

Step-by-step explanation:

8x - 12

4(2x - 3)

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

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Answer:

0.3 inches

Step-by-step explanation:

2.5% = 0.025

The smallest frog is 12 * 0.025 inches, which is 0.3 inches.

Answer:

It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.

Step-by-step explanation:

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

Answer:

y = [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

x^2 + z^2 = 29^2

x^2 = y^2 + 9^2

y^2 + 20^2 = z^2

29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)

substitute 3rd eqn in 4th

29^2 - (y^2 + 20^2) = y^2 + 81

841 - y^2 - 400 = y^2 + 81

441 = 2y^2 + 81

360 = 2y^2  

y^2 = 180

y = [tex]\sqrt{180}[/tex]

= [tex]\sqrt{36*5} \\[/tex]

y = [tex]6\sqrt{5}[/tex]

Answer:

∠ A = 43°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ T  = 55°

The sum of the 3 angles in a triangle = 180°

sum the 3 angles in Δ ABC and equate to 180

2x - 9 + 3x + 4 + 55 = 180 , that is

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Then

∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

Answer: No

Step-by-step explanation:

2 is double 1.

Because 11 is not double 9, the ratios are not equivalent.

Hope it helps :)

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

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#SPJ2

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

Answer:

1 million

Step-by-step explanation:

1 +1 +2 with 36 video game

36(2)=82

Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

Answer:

i need help I 6understand

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8