1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
otez555 [7]
3 years ago
9

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

board. On the second square the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, how many grains of wheat should be placed on square 25​? Also find the total number of grains of wheat on the board at this time and their total weight in pounds.​ (Assume that each grain of wheat weighs​ 1/7000 pound.)
Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

That's 2635249153387078 pounds or  1317624576693.5 tons

Step-by-step explanation:

The series is 2^(n-1) where n=1,2,3,4,...,62,63,64

 

We can adjust the index and write it as 2^n where n=0,1,2,3,4,...,61,62,63

 

The sum of the geometric series is:

 

 a1 * (1 - r^n)

------------------  

         1-r

 

where r is the common ratio in this case 2,

a1 is the first term, in this case 1,

and n is the number of term, in this case 64

 

 

1 * (1 - 2^64)

----------------  = 18446744073709551615

 1 - 2

 

Dividing that by 7000

That's 2635249153387078 pounds or  1317624576693.5 tons

Hope this helped!

You might be interested in
HELP ASAP PLSSSSSSSSSS
inysia [295]

Answer:

Neighborhood Q appears to have a bigger family size

Step-by-step explanation:

Mean = the sum of all data values divided by the total number of data values

Number of families in Neighborhood Q = 9

Mean family size of Neighborhood Q:

= (2 + 5 + 4 + 3 + 2 + 5 + 3 + 6 + 5) ÷ 9

= 35 ÷ 9

= 3.888888...

Number of families in Neighborhood S = 9

Mean family size of Neighborhood S:

= (2 + 3 + 2 + 3 + 7 + 2 + 3 + 3 + 2) ÷ 9

= 27 ÷ 9

= 3

The mean family size of Neighborhood Q is 3.88..  and the mean family size of Neighborhood S is 3.  Therefore, Neighborhood Q appears to have a bigger family size as it's average family size is bigger than that of Neighborhood S.

6 0
2 years ago
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the
Usimov [2.4K]
It will probably be A Hopes This Helps.
5 0
3 years ago
Copy the problem, mark the givens in the diagram. Given: CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC, Prove: CR ≅ HS
Veseljchak [2.6K]

Explanation:

1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given

2. ∆CRH ~ ∆HSC — AA similarity theorem

3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent

4. CH ≅ HC — reflexive property of congruence

5. ∆CRH ≅ ∆HSC — SAS congruence theorem

6. CR ≅ HS — CPCTC

6 0
3 years ago
Which fractions are equivalent to 2/3
Ivenika [448]

Answer:

4/6 and 8/12 and 16/24

Step-by-step explanation:

well because it is math and math works like this basically all of theese are equal to 2/3

5 0
3 years ago
Heeeeelppppp please heeelpppp omg 25 points
jolli1 [7]

Answer:

The fraction, or the one on the right is larger by just a few decimals.

Step-by-step explanation:

Have an amazing day :D

5 0
2 years ago
Other questions:
  • a square and a rectangle have the same perimeter.the square has a side length of 8xunits.the rectangle has a length of 5x+8 and
    7·1 answer
  • The boiling point of a substance in City A is found to be 145 °C. The boiling point of the same substance in City B is 141 °C. W
    14·1 answer
  • A number has more tens than ones. the value of the ones digit is 8. what are the possible numbers?
    7·2 answers
  • One half of a number y is more than 22
    9·1 answer
  • (22 points )Karl’s bowling score went from 174 to 205 what was the percent of increase?plz help me .. give right answer plz and
    10·2 answers
  • Find the perimeter of each polygon created by the coordinates.
    5·1 answer
  • Which is the BEST transitional word to add to this sentence? A) besides B) consequently C) finally D) however
    12·1 answer
  • Does anyone know the answer 2=10-4y;2
    9·1 answer
  • F=P(1+r)^t solve for p
    13·1 answer
  • IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!