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:

a.  8 heads. b. 1024 heads.

Step-by-step explanation:

a. How many heads would the Hydra have on the third day?

Since the Hydra's head doubles for every initial head that is cut off on each day, the number of heads the hydra has after each day is 2ⁿ where n = number of days. Now, the head increase of the Hydra form a geometric sequence with the first term as 2 since we initially had one head and was cut off to produce 2 heads. On the second day, two heads are cut off to produce four which is 2² and so on.

So, on the third day, we have 2³ heads = 8 heads.

b. And at the end of 10 days of trying to kill it?

At the end of 10 days we have n = 10 in 2ⁿ. So, 2¹⁰ = 1024 heads.

So, at the end of 10 days, the Hydra has 1024 heads.


Related Questions

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?

Answers

Answer: On the average, your car was moving with a speed of 25 miles per hour.

Step-by-step explanation:

Step-by-step explanation:

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Kayla was driving from Philadelphia to Florida, trying to remain at a constant speed as much as possible after she reached the highway. She travelled 139.5 miles after an hour and a half and then 395 miles after 5 hours. Which represents Kayla's speed (rate of change)?

Answers

Answer:

Step-by-step explanation:

Speed = change in distance/change in time

S= Δd/Δt

let d1 = 139.5miles

d2 = 395miles

t1 = 1.5 hrs

t2 = 5hrs

Δd = d2-d1

Δd  = 395-139.5

Δd  = 255.5miles

Δt = 5-1.5

Δt = 3.5hrs

Speed = 255.5/3.5

Speed = 73miles/hr

Hence Kayla's speed is 73miles/hour

help me plzzzzzzzzzzzzzzz

Answers

Answer:

7) √2 , π , 4.5. √2 ≈ 1.41 < π ≈ 3.14 < 4.5 = 4.5.

9) √3 , π , 7. √3 ≈ 1.73 < π ≈ 3.14 < 7 = 7.

10) -4 , 1.5, √8. -4 = -4 < 1.5 = 1.5 < √8 ≈ 2.83.

11) -5.5 , 3/2, √6. -5.5 = -5.5 < 3/2 = 1.5 < √6 ≈ 2.45.

12) 5/2 , 2.6 , 1 + √3 , √8. 5/2 = 2.5 < 2.6 = 2.6 < 1 + √3 ≈ 2.73 < √8 ≈ 2.83

12) People in order: Bryon, Justin, Rosa, Allie.

The two triangles are similar. Find the missing side length.
9.6
60
12
16

Answers

Answer: x = 9.6

Step-by-step explanation: 24/x * 20/8 (cross multiply)

20x = 192 (now divide)

x = 9.6

please helpppppppppp me please

Answers

Answer:

WITH WHATttttt

Step-by-step explanation:

Yessss what you need help with

PLEASE HELP!! i will mark as brainliest

Answers

Answer:

13

Step-by-step explanation:

I just added the numbers together.

5+-5 is 0 because they are the same numbers but with opposite signs.

Next 12+-2 is 10 because it is like 12-2.

Next adding the last 3 to 10 we get 13.

The final amount of yards they have are 13.

I hope this helps:)

can you tell me the answer please, i’d appreciate it sm. thanks

Answers

Answer:

Yeah... I think u got it right... sorry if I’m wrong

Step-by-step explanation:

Answer: A) 5. You are correct.

===========================================================

Explanation:

The length of segment MN is the same as the distance from M to N

Count out the spaces from M to N to see that there are 5 spaces, so that's why choice A is the answer.

-------------

Or you can break it down like this:

There are 3 spaces from -3 to 0There are 2 spaces from 0 to 2

So we have 3+2 = 5 spaces total between M and N.

-------------

A more formal approach:

Let M = -3 and N = 2

Now subtract and apply absolute value.

|M - N| = |-3-2| = |-5| = 5

or

|N - M| = |2-(-3)| = |2+3| = |5| = 5

Either way, we get a distance of 5 units.

Absolute value is used to ensure that the result is never negative.

The product of n and 5 is equal to 48

Answers

Answer:

9.6

Step-by-step explanation:

48/5 is 9.6 therefore n=9.6

what does 7x + 4 - 6 =

Answers

9x because first you subtract 4 and 6 and then you add that answer to 7x

The Empire State Building weights about 7.3 x 10^8 pounds The one World Trade Center building weights abut 88,200,000 pounds what is the total weight in pounds of these two buildings? Expressing your answer in scientific notation in the from a x 10 what are the vaules of a and b

Answers

Answer:

8.1822x10^8

Step-by-step explanation:

PLS HELP! I WILL REWARD AND GOVE PUT BRAINLIEST!!


The choices for, “Which operation must be performed to isolate the variable?” Are

A. Add 7.6
B. Add 18.2
C. Subtract 7.6
D. Multiply 7.6


The choices for, “the solution to the equation is” are

A. X=7.6
B. X=10.6
C. X=18.2
D. X=25.8

Answers

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

You have $8.00 to make copies. Each copy (x) costs $0.40. Solve the inequality that represents the number of copies you can make.

Answers

Answer:

8≥0.4x (You can make 20 or less copies)

Step-by-step explanation:

8≥0.4x

20≥x

A tutoring job pays $222 for ten hours of work. If a tutor were to work for a total of thirty-five hours that week, how much will they make?​

Answers

Answer:

$777

Step-by-step explanation:

35/10= 3.5

3.5x222= $777

The upper-left coordinates on a rectangle are (-1,4) and the upper-right coordinates are (3,4).The rectangle has a perimeter of 24 units Draw the answer on the coordinate planes

Answers

Answer:

The answer is below

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

24 = 2(length + breadth)

length + breadth = 12

The distance between the points of the rectangle (-1, 4) and (3,4) is given as:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}\\ \\Distance=\sqrt{(3-(-1))^2+(4-4)^2}=4\ units[/tex]

The breadth = 4 units

Length + 4 = 12

Length = 8 units

The lower left x coordinate would be the same as the upper left x coordinate, let us assume that the lower left y coordinate = a

Hence lower left coordinate = (-1, -a). The distance between (-1,4) and (-1, -a) is the length = 6 units

[tex]6=\sqrt{(-1-(-1))^2+(-a-4)^2}\\ \\a=-10[/tex]

lower left coordinate = (-1, 10)

The lower right x coordinate would be the same as the upper right x coordinate, let us assume that the lower right y coordinate = -b

Hence lower right coordinate = (3, -b). The distance between (3, 4) and (3, -b) is the length = 6 units

[tex]6=\sqrt{(3-3)^2+(-b-4)^2}\\ \\b=-10[/tex]

lower right coordinate = (3, -10)

What is 3 +1 giving BRANIEST

Answers

Answer: 4

Step-by-step explanation:

1. Add 3 and 1

3+1 = 4

Your answer is 4

Answer:

I think it is 5 wait no

Step-by-step explanation:

Rich earns $25 every weekend babysitting. He wants to buy a new game system that costs $499. He already has $220 saved. What is the minimum number of weekends he will need to babysit in order to have at least the $499 he needs?

ASAP I only have 10 minutes

Answers

Answer:

12 weekends

Step-by-step explanation:

Round up to $500 to make it easier, he needs $500. with $220 Saved he needs $280 more ($500-$220). $280 / $25 per weekend is 11.2 weekends needed. He would need to work 12 weekends to get to his goal

Answer:

i trieddddddddddddd

Multiply.


8.6
×
7.3
=

Answers

62.78
Is the answer
Mark as brainliest

Rotation 180° about the origin U'(0, 0), T'(-5, 0), S'(-3, 3)B) U'(0, 0), T'(0, -5), S'(-3, -3)C) T'(4, 5), S'(1, 3), U'(4, 0)D) U'(0, -5), T'(0, 0), S'(3, -2)

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but i would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Rotation is a type of transformation that turns an object about a fixed point. Rotation preserves the shape and size of the image. The rotation of point X(x, y) 180° about the origin gives a new point X'(-x, -y) i.e. both the x and y coordinate is negated.

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5

Answers

9514 1404 393

Answer:

  3 1/2

Step-by-step explanation:

The amount is reduced by 4/9 cup each day for 5 days, so the amount remaining is ...

  (5 1/2) - 5(4/9) = 11/2 -20/9 = (99 -40)/18 = 59/18 = 3 5/18 ≈ 3.28 . . . cups

This value is (slightly) closer to 3.5 than to 3.0.

The best estimate of the remaining amount is 3 1/2 cups.

Answer:

three

Step-by-step explanation:

Charlie paid $39.25 for a cookbook he purchased from a book club. This was a saving of $3.19 off the regular price. What percent discount did the book club give Henry?

Answers

Answer:

The book club gave Henry a 8.13% discount.

Step-by-step explanation:

To determine the percent discount that the book club gave Henry given that you know the price of the cookbook and the amount of the discount, you can use a rule of three:

39.25 → 100%

  3.19 →    x

x=(3.19*100)/39.25

x=8.13%

According to this, the answer is that the book club gave Henry a 8.13% discount.

After 5 hours, Ernie had traveled 195 miles. If he travels at a constant speed, what was Ernie's speed in miles per hour?

Answers

Answer:

39 mph?

Step-by-step explanation:

I only  say this cause 5 divided by 195 equals 39. So yeh.

Answer: 39 miles per hour

Step-by-step explanation:

For this problem, we divide 195 by 5 because he drove 195 miles in 5 hours.

195 ÷ 5 = 39

The answer to the question is 39. Hope this helps!

PLZ NEED HELP brainliast if right

Answers

Answer:

WHAT DO YOU NEED HELP ON, I CANNOT SEE THE IMAGE

SORRY

Step-by-step explanation:

Answer:

umm what's the question

Step-by-step explanation:

13x-12x+45•12=14-12x-10•5

Answers

Answer:

[tex]x=\frac{576}{11}[/tex]

Step-by-step explanation:

13x - 12x + 45 * 12 = 14 - 12x - 10.5

Multiply first

13x - 12x + 540 = 14 - 12x - 50

Combine like terms

x + 540 = 12x - 36

Subtract x from both sides

540 = 11x - 36

Add -36 to both sides

576 = 11x

Divide both sides by 11

[tex]x=\frac{576}{11}[/tex]

Hope this helps as pls do mark me brainliest if you can:)

Pls help me I’m stuck

Answers

Answer:

Step-by-step explanation: your picture is not there

Ronald brother told Mj to get the app BRAINLY It helps you with anything But Mj do not have nothing to use Mj ask his mom if she would by him a phone she said yes the phone cost $230 dollars but it didn't come with a charger so they bought a charger it cost $15 dollars how much does the charger cost

Answers

Answer:

If you mean in total if all of it then 245

please help. are they Parallel, perpendicular or neither

Answers

Answer:

Neither

Step-by-step explanation:

Parallel lines don't intersect

Answer:

Neither parallel or perpendicular.

Step-by-step explanation:

For AB A(-1,-4) and B(2, 11)

x1,y1 x2,y2

Gradient = (y2 - y1)/(x2 - x1)

= (11 - (-4))/(2 - (-1))

= 15/3 = 5.

For CD C(1 , 1) and D(4 , 10)

x1, y1 x2, y2

Gradient = (y2 - y1)/(x2 - x1)

= (10 - 1)/(4 - 1)

= 9/3 = 3

from the above they are neither parallel or perpendicular.

HELP MEEEEEE!!!!!!!!!!!???????

Answers

Answer:

7

Step-by-step explanation:

Multiply 1/8 by 56.

You can put a 1 under the 56 because the56/1 and 56 are identical.

1/8 * 56/1

Multiply numerators (1 & 56) and the denominators (8 & 1)

56/8

Simplify by dividing

7

One end of a spring is attached to a ceiling. When an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m . What is m when l is 73?


please helpppp!​

Answers

m = 14.4

73 = 24 + 3.4m
-24 -24

49 = 3.4m
divide by 3.4 on both sides

14.4 = m

HOPE THIS HELPS!

The value of the mass when I is 73 will be m = 14.4.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m.

The mass will be calculated as below,

73 = 24 + 3.4m

49 = 3.4m

Divide by 3.4 into both sides

14.4 = m

To know more about an expression follow

https://brainly.com/question/20381624

#SPJ2

You can get 672 calories from eating 8 apples. How many calories can you get from eating 1 apple?

Answers

Step-by-step explanation:

672 divides by 8

=8.375

What is the slope of the line that passes through the points (4, 6) and (-16, -18)?
Write your answer in simplest form.

Answers

Answer:

7x3=45 so substitute

Step-by-step explanation:

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