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Recursive functions are functions whose execution is called from within itself

A condition is used to stop or continue another recursive step

As implied earlier, the execution of a recursive function is from within the function itself.

This means that the recursive function will continue its execution, until a condition is met.

This condition is used to determine the execution or the termination of the recursive process

Hence, a condition is used to stop or continue another recursive step

Read more about recursive functions at:

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The correct equation and value of x, the distance of 1 lap around the path at the park is 4.8x + 1.2 = 3.6. Then the correct option is B.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.

This is because lap will be dependent on the variable, we know that the number of them will be multiplied by the variable x we also know that 1.2 miles are constant. Now the equation will be

4.8x + 1.2 = 3.6

Thus, the correct option is B .

More about the Linear system link is given below.

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Answer:

[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]

Explanation:

[tex]\sf ( a+ b) ( a- b) ( a^2 + 4^2)[/tex]

expand

[tex]\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)[/tex]

simplify

[tex]\sf (a^2-b^2 ) ( a^2 + 16)[/tex]

expand

[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]

Solution:

Note that:

Formula: (a + b)(a - b) = a² - b²

Simplify the expression using the formula.

Answer:

  (i) y = 5/7x

  (ii) 7/3 m/s

Step-by-step explanation:

Shadow problems almost always involve similar triangles, meaning that shadow lengths and object heights generally have the same ratio. We can use this fact to write proportions related to the measures in this problem.

The ratio of shadow-tip distance to the object height is the same for both objects. For distances in meters, we have ...

  x/7 = (x-y)/2

  2x = 7(x -y) . . . . . multiply by 14

  7y = 5x . . . . . . . add 7y-2x

  y = 5/7x . . . . . divide by the coefficient of y

__

Solving the equation from the first part for x, we have ...

  x = 7/5y . . . . . multiply by 7/5

The derivative with respect to time is then ...

  x' = 7/5y'

The rate of change of y is given as 5/3 m/s, so the rate of change of x will be ...

  x' = (7/5)(5/3 m/s) = 7/3 m/s

The top of the man's shadow is moving at 7/3 meters per second.

Answer:

1, 2, 4, 8, and 16

^^^Factors : )

Answer:

1,2,4,8,16 or 1*16, 2*8, and 4*4

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

250/2=125 this is how many time you would expect to get heads

Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

Lets arrange the first equation, in standard form of equation of circle as,

[tex]x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2[/tex]

The radius of this circle is √(3).

Lets arrange the second equation, in standard form of equation of circle as,

[tex]x^2 +y^2 - 4x+ 4y - 10 = 0 \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2[/tex]

The radius of this circle is √(18).

Lets arrange the third equation, in standard form of equation of circle as,

[tex]x^2 +y^2 - 8x - 6y - 20 = 0 \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2[/tex]

The radius of this circle is √(45).

Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.

Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

Learn more about the equation of circle here;

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Answer:

 1) → 5) → 2) → 4) → 3) → 7) → 6)

Step-by-step explanation:

Answer:

(4w+3)^2

Step-by-step explanation:

rewrite in exponential form

4^2w^2+24w+9

write as a product with the factors 4w and 3

4^2w^2+2 x 4w x 3 + 3^2

calculate

(4w)^2 + 2 x 4w x 3 + 3^2

factor using a^2+2ab+b^2 = (a+b)^2

(4w+3)^2

Yes, they are

Because with fractions, you can divide. The rules for multiplying or dividing with negative numbers are that negative * or / negative = positive and that one negative * or / a positive = negative. These fractions here have one negative and one positive, making it so that when you divide, it will be negative.

Hello.

[tex]\mathrm{\displaystyle\frac{7}{-8} \:and\:\frac{-7}{8} \:are\:equal\:}[/tex]

If we divide a positive number by a negative number, we get a negative number.

Let's try.

We can turn both of these fractions into decimals and see if they are equivalent.

The simplest way to turn a fraction into a decimal is divide the numerator by the denominator.

[tex]\mathrm{\displaystyle\frac{7}{-8} = -0.875}[/tex]

Now, let's convert the second fraction into a decimal:

[tex]\mathrm{\displaystyle\frac{-7}{8} =-0.875}[/tex]

[tex]\mathrm{-0.875=-0.875}[/tex]

Therefore, the two fractions are equivalent (equal).

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

positively correlated

Step-by-step explanation:

positive correlation: as x increases, y increases

negative correlation: as x increases, y decreases

no correlation: no discernible relationship between variables

The stronger the correlation, the closer the points are to a straight line.

Answer:

2×2cm, 1×4cm, 4×1cm are the ones that have sides that are whole numbers.

Answer:

-71

Step-by-step explanation:

- 4 x (+1 --5) x (+1 - -5) /6 - (42 - -5)

1 - -5 = 6 and 42 - -5 = 47

-4 x 6 = -24

-24 x 6 = -144

-144 / 6 = -24

-24 - 47 = -71

Answer:

the answer is 1/6

Hey there!

=> [tex] \frac{1}{3} \times \frac{1}{2} [/tex]

we multiply the denominators which are 3 and 2

=> [tex] \frac{1}{3 \times 2} [/tex]

=> [tex] \frac{1}{6} [/tex]

Therefore, 1/3 × 1/2 = 1/6

Answer:

what do I do I’m new

Step-by-step explanation:

Answer:

y=9 and x=15

Step-by-step explanation:

ok looking at what they give us in the question we can see that we have two equations. to solve for it be will need to combine them together

note that because they use the word sum we know it's addition

y= x-6

x+y=24

now that we have these we can substitute y=x-6 for the y in our addition equaution such that we have it in terms of one variable:

x+ (x-6) = 24

2x-6=24

2x=30

x=15

now going back we can find Y

15+ y = 24

y=9

Answer:

-30

Step-by-step explanation:The answer is -30. Hope this helps.

Answer:

6.9282

Step-by-step explanation:

I can't give a step by step sorry

Answer:

i think this would help

Answer:

[tex](2, 4)\rightarrow\text{First system}[/tex]

[tex](4, -2)\rightarrow\text{Second system}[/tex]

Step-by-step explanation:

First system:

We can substitute 2x for y:

[tex]6x-y=8\\6x-2x=8\\4x=8[/tex]

Divide both sides by 4

[tex]x=2[/tex]

Substitute 2 for x to solve for y:

[tex]y=2x=2(2)=4[/tex]

[tex](x, y)=(2, 4)[/tex]

Second system:

We can isolate x in the second equation by subtracting 4y from both sides:

[tex]x=-4-4y[/tex]

Now, substitute this value for x in the first equation:

[tex]3(-4-4y)+5y=2\\[/tex]

Distribute the 3 to each term in the parentheses:

[tex]3(-4)+3(-4y)+5y=2\\-12-12y+5y=2\\-12-7y=2[/tex]

Add 12 to both sides:

[tex]-7y=14[/tex]

Divide both sides by -7

[tex]y=-2[/tex]

Now, substitute -2 for y to solve for x:

[tex]x=-4-4y=-4-4(-2)=-4+8=4[/tex]

[tex](x, y)=(4, -2)[/tex]

Step-by-step explanation:

I hope this helps...........

Answer:

334 feet

Step-by-step explanation:

Area of small triangle: 6*3=18

Area of big triangle: 7*12=84

Area of tall rectangle: 20*6=120

Area of second rectangle: 14*8=112

18+84+120+112=334

Answer:

334ft2

Step-by-step explanation:

6x20=120

6x6x0.5=18

14x8=112

14x12x0.5=84

120+18+112+84=334

Answer: Graph f(x) = x2 x 6. 2. The domain of f x ex , is f f , and the range is 0,f . ... x) 0. An exponential function with a > 0 and b > 1, like the one above

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

its in the picture

i need brainliest for level up please

Answer:

The value of t is 11

Step-by-step explanation:

Answer:

2520 decrease per year

Step-by-step explanation:

8.4% is also .084 so you multiply .084 by 30,000 and get 2520.

Answer:

4.32%

Step-by-step explanation:

you divide 7.35 ÷ 100 = 0.0735, then multiply 0.0735 × 58.80 = 4.32%

Answer:

63

Step-by-step explanation: 50% of 20 is 30, 30 x 2 = 60, 60 + 10% of 30 = 63

Answer:

3/8

Step-by-step explanation:

because 4/8 are red , 1/8 are white… (which is 5/8 now)

the remaining would be 3/8

If you check your work, the total would be 8/8

Answer:

40m

Step-by-step explanation:

72/2=36

36+4=40m

Answer:

1:3

Step-by-step explanation:

3:9

÷3 ÷3

1 : 3

n=3

Hope that helps

Answer:

<c =90 ° So, Pythagoras theorem can be used, Hypotenuse ² = base ² + altitude ²AB²=AC²+BC²11²=AC²+4²11²-4²=AC²121-16=AC²Root 105=ACAC=10.2 cm

Step-by-step explanation:

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