Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer 1

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

Answer 2

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

Learn more: https://brainly.com/question/24908711?referrer=searchResults


Related Questions

Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R

Answers

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

Can someone please give me a free disney plus account

Answers

Answer:

Uh- I cant ;w;

Step-by-step explanation:

Answer:

yes I can if you still want one

Step-by-step explanation:

y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

How many subscribers will there be in week 9 if the initial number of subscribers is 10?

Answers

Answer:

if the number of substribers has a constant rate of change than the number of subscribers in 9 weeks should be around 90

Describe the Squeeze Theorem as simply as possible.​

Answers

Hey there,

The squeeze theorem shows if [tex]f(x)\leq g(x)\leq h(x)[/tex] for all real numbers [tex](-\infty,~\infty)[/tex] then f(x) = h(x) but g(x) has to equal that as well.

Let's say we have [ [tex]\lim_{n \to \infty} (\frac{cos~x}{x})[/tex] ]

~Apply the theorem

Note that [ [tex]-1 \leq cos~x \leq 1[/tex] ] and [ [tex]\lim_{n \to \infty} (-\frac{1}{x})\leq \lim_{n \to \infty} (\frac{cos~x}{x})\leq \lim_{n \to \infty} (\frac{1}{x})[/tex] ]

~Apply the infinity property to every side but the middle

[tex]\lim_{n \to \infty} (-\frac{1}{x}) = 0[/tex]

[tex]\lim_{n \to \infty} (\frac{1}{x}) = 0[/tex]

So... [tex]\lim_{n \to \infty} (\frac{cos~x}{x})=0[/tex]

Best of Luck!

please answer i need help

Answers

Answer:

h < 2

Step-by-step explanation:

Given

5(2h + 8) < 60 ( divide both sides by 5 )

2h + 8 < 12 ( subtract 8 from both sides )

2h < 4 ( divide both sides by 2 )

h < 2

Answer:

h<2

Step-by-step explanation:

5(2h+8)<60

2h+8<12

2h<4

h<2

Please hurry it is urgent . Make sure to do 5 and 6

Answers

Answer:

5) 36

6) 113

Step-by-step explanation:

5)

As a reminder, complementary angles add up to 90; therefore, we can set up an equation:

(5x+4)+(3x+6)=90

8x+10=90

8x=80

x=10

Now that we know x, we can plug x as 10 into the original expression for angle A:

3(10)+6

=30+6

=36

6)

As a reminder, supplementary angles add up to 180; therefore, we can set up an equation:

(5x+8)+(3x+4)=180

8x+12=180

8x=168

x=21

Now that we know x, we can plug x as 21 into the original expression for angle D:

5(21)+8

=105+8

=113

people wont solve my question i need it ASAP

Answers

Answer:

A pig has 10,000 kg mass more than a mass

Step-by-step explanation:

[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]

help me plz thank you

Answers

Answer:

4^5,6^7,8^6,7^4

Step-by-step explanation:

add the power to the other and then put the base

Solve for the value of x that makes likes r and s parallel.

Answers

Answer:

x = 65

Step-by-step explanation:

If Alternate exterior angles are congruent, r and s will be parallel

3x - 63 = 2x + 2

3x - 2x  - 63 = 2

         x - 63 = 2

            x  = 2 + 63

            x = 65

Which illustration shows the correct construction of an angle bisector?

Answers

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

Learn more,

https://brainly.com/question/8607612

PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!

An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?

1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters

Answers

Answer:

I believe its 1. -18 meters

Step-by-step explanation:

first find how many meters the elevator is descending per minute. to do this:

what is 12% of 75?

(75×.12) = 9

the elevator is descending 9 meters per minute.

9×2=18

Usually, when Elena makes bird food, she mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same.
Group of answer choices

3 cups of seeds and 5 tablespoons of syrup

2 cups of seeds and 3 tablespoons of syrup

5 cups of seeds and 2 tablespoons of syrup

3 cups of seeds and 2 tablespoons of syrup

MATH
6TH GRADE
GIVING AWAY FREE BRAINLIEST

Answers

Answer:

3 cups of seeds and 2 tablespoons of syrup

Step-by-step explanation:

Compare the ratios to the original one (9:6) see what is equal. In order, they are:

3:5

2:3

5:2

3:2

Look!

3:2 is equal to 9:6 because:

9 ÷ 3 = 3

and

6 ÷ 3 = 2

Hope this helped!

Answer:

thanks for the free points britt

Step-by-step explanation:

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

Answers

Answer:

It's a &d

Step-by-step explanation:

The required Area of trapezoid(a) = 1/2(b1+b2)h.

What is quadrilateral?

Quadrilateral is four sided shape as given in the picture in question.

Question seems to be incomplete. So the correct option resembles with
Area of trapezoid a = 1/2(b1+b2)h

Thus, the required area of trapezoid
a
= 1/2(b1+b2)h

Learn more about quadrilateral here:
https://brainly.com/question/13805601

#SPJ2


Given that R = 3x + 9y
Find x when y = 6 and R=7
Give your answer as an improper fraction in its simplest form.​

Answers

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

PLEASE HELP!
Solve x2 + 5x = −6.

x = 5 and x = 1
x = −5 and x = −1
x = 3 and x = 2
x = −3 and x = −2

Answers

X^2 + 5x = -6

Add 6 to both sides:

X^2 + 5x + 6 = 0

Using the quadratic equation x = -b +/-sqrt(b^2 -4ac )/2a replace the letters with their values and solve for x.

A = 1, b = 5 , c = 6

Solving for x you get -2 and -3

The answer would be x = -3 and x = -2

HELP PLEASE & I WANT EVERY STEP THIS MY GRADE NOT YA'LLS

Brian rides his bike 0.27 of a mile per min. If it takes him 27 mins to ride his bike to his friends house, how far away does his friend live ?

Answers

Answer:

7.29 miles

Step-by-step explanation:

In 1 minute, Brian rides his bike for 0.27 of a mile.

in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)

We use the proportion then get a solution

1 min = 0.27 miles

27 mins = (27 mins÷ 1 min) × 0.27

= 27 × 0.27 miles

= 7.29 miles

Step-by-step explanation:

Given parameters:

  Speed of the Brain's bike  = 0.27mile/min

Time = 27min

Unknown:

distance between Brain's house and where his friend lives =?

Solution:

Speed is a physical quantity.

   It is mathematically expressed as'

     Speed  = [tex]\frac{distance}{time}[/tex]

   Distance  = speed x time

  Input the parameters;

    Distance  = 0.27mile/min x 27min  = 7.29miles

how do i to find the slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Answer:

The equation to find slope is y=mx+b. Find two points in the line that are clear. subtract x1 and x2 and y1 and y2. Plug in the x and y values of one into the equation. b is equal to y when x is 0

Step-by-step explanation:

−3(k+7)>−57 please help and solve

Answers

Answer:

k>12

Step-by-step explanation:

distribute -3 into the parenthesis

-3k-21>-57

add 21 on both sides

-3k>-36

divide both sides by -3

k>12

HOPE THIS HELPS!!!

Answer:

k < 12

Hope this helps!

Can someone tell me them least to greatest please!!!!!

Answers

Answer:

11/3 , 17 , 20 hope this helps

Work out the volume of this sphere. Radius is 4cm
Give your answer rounded to 1 DP.

Answers

Answer:

268.08257

Step-by-step explanation:

v=4/3πr^3=4/3•π•4/3=268.08257

A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?

Answers

the correct answer is 5.89999999948*10^12

−184 is the product of 23 and p.

Answers

I believe the correct answer would be -203

Answer:

p= -8

Step-by-step explanation:

23 x p= -184

-184 divided by 23= -8

23 x -8= -184

Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)
0 < I<3
f(0) = 1001 + 5,024 , 3 - 2 + 5x + 5,630, 6 3
What were the boutique's monthly sales when Jenny first began tracking the data?
A.
$4,000
B.
$5,324
C.
$5,616
D.
$4,400
MacBOOK

Answers

Answer:

what is your question here can you be more specific?

Step-by-step explanation:

Answer:

Please mark me as Brainliest :)

Step-by-step explanation:

10x+y when x = 7 and y = 5

Answers

Answer: 75

Step-by-step explanation:

Plug in 7 for x and 5 for y

10(7)+5

70+5

75

56 men can do a work in 42 days then how many men will do the same work in 14 days ​

Answers

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .

Hence 168 men will do the work in 14 days .

[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]

Select ALL the statements that are true about 22/7.
A.It is a rational number.
B.It is an irrational number.
C.When written as a decimal, it repeats.
D.It is an approximate value of Pi.
E.It is a terminating decimal.

Answers

Answer:

It is an approximate value of pi

What is 25 percent of 530?

Answers

It’s gonna be 132.5


:)))))))

which one does not belong ?

and what is the answer correct ?​

Answers

Answer:

5/4

5/4 = 1 1/4

It does not belong here

Step-by-step explanation:

Answer:

5/4 because the top is bigger than the bottom

ax+bx=c solve for x

Answers

Answer:

x= c/a+b

Step-by-step explanation:

Other Questions
Mushroom dance. Mushroom dance. Whatever could it mean?i'll give brainliest to the first person to get this. PLZ HELP ME...Graceful, and yet majestic, it clings to the land like a thing that has taken root. Beautiful as a vision of fairyland it salutes our sight. The impression it makes upon the visitor is one of astonishment, an astonishment that grows with every visit. No one who has been upon it can ever forget it. This great structure cannot be confined to the limits of local pride. The glory of it belongs to the race. Not one shall see it and not feel prouder to be a man.Which of the following is the best objective summary of the excerpt?The Brooklyn Bridge is an unforgettable sight!The glory of the bridge belongs to the human race.The grandeur of the bridge would make people feel proud.Visitors of New York should be astonished by the bridge.Is a compound considered a pure substance? Why or why not?BTW im on edguinity Explain the relation of health and environment with examples. Pls help please!!! What is a round character?a character who contrasts the personality of another charactera character who stays the same throughout a storya character who has a complex personalitya character who has just one or two personality traits Please help due today What are the parts of the compound light microscope Which equation represents a line which is perpendicular to the line through y= 3/4 X -6 Which of the following numbers is writtenin CORRECT scientific notation?3.41 10434.1 : 1053.41 + 1040.341 106 HELPP PLZZ Explain in your own words what was the purpose of Hammurabi's code. Make sure to give an example of one of their laws.PLEASE HELP! WILL GIVE BRAINLIEST! WILL RATE BRANLIEST Transversal t intersects lines a and b to form 8 angles. The angles formed with line a, clockwise from top left, are 1, 2, 3, 4. The angles formed with line b, clockwise from top left, are 5, 6, 8, 7.For the diagram shown, which angles are corresponding angles3 and 78 and 64 and 73 and 5 What is the value of f(x) = 3x -12 for anx = 9 it shows the data that fluctuates depending on the data Kingbird Windows manufactures and sells custom storm windows for three-season porches. Kingbird also provides installation service for the windows The installation process does not involve changes in the windows, so this service can be performed by other vendors. Kingbird enters into the following contract on July 1, 2017, with a local homeowner.The customer purchases windows for a price of $2,470 and chooses Kingbird to do the installation. Kingbird charges the same price for the windows irrespective of whether it does the installation or not. The installation service is estimated to have a standalone selling price of $580. The customer pays Kingbird $1,940 (which equals the standalone selling price of the windows, which have a cost of $1,050) upon delivery and the remaining balance upon installation of the windows. The windows are delivered on September 1, 2017, Kingbird completes installation on October 15, 2017, and the customer pays the balance due.Prepare the journal entries for Kingbird in 2017. Whats the surface area to these 2 pls help me Kevins school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards why the American people elected Roosevelt to more than two terms as president. Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each position, there is no way to define probability density because I cant calculate the probability at just one point." What factors in Andrew Jackson's life make Richard Hofstadter feel that he is such an important part of our history? (The American Political Tradition) 2b^3+5=2(3)^3+5 when b=3 what is the equation of the horizontal line through (-7,-3)?