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anzhelika [568]
3 years ago
11

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 19​? 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:
Triss [41]3 years ago
7 0
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:
<span> a1*(1 - r^n)/(1-r)
</span><span> where r is the common ratio in this case 2,
</span> a1 is the first term, in this case 1,
 and n is the number of term, in this case 64
 1*(1- 2^64) / (1-2) = 18446744073709551615
 Dividing that by 7000
 That's 2635249153387078 pounds or  1317624576693.5 tons
 <span>grains of wheat on square 19:
 1*(1- 2^19)/(1-2)=</span><span> <span>524287.</span></span> ​ 
 
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4x^2=27x+40<br> Solve by factoring
worty [1.4K]

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

8 0
2 years ago
Thank you for the person that answers this :)
Ivenika [448]

Answer:

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Step-by-step explanation:

G is a reflection across the x axis of the function of f(x)

g(x) = −f(x)

g(x) = - 3^x

6 0
2 years ago
What is the value of Negative 4 squared + (5 minus 2) (negative 6)? –34 –2 10 34
kaheart [24]

Answer:

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Letter Choice A

Step-by-step explanation:

Hope it helped!!

7 0
2 years ago
Which equation represents a line that passes through (–2, 4) and has a slope of 2/5
cupoosta [38]

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

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Hope this helps! :)

3 0
1 year ago
Read 2 more answers
How do you find the least common for 3 and 8?
sesenic [268]

The least common multiple of 3 and 8 is 24.

The least common multiple of two numbers is the lowest value number that is a multiple of both the numbers. To find the least common multiple of 3 and 8, you first list their multiples:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.


<em>HOPE THAT HELPS!!!!</em>

8 0
3 years ago
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