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Inessa05 [86]
3 years ago
10

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, what is the total weight in tons of all the wheat that will be placed on the first 45 ​squares?
(Assume that each grain of wheat weighs​ 1/7000 pound. Remember that 1 ton equals 2000 ​lbs.)
The total weight of the wheat that will be placed on the first 45 squares is
nothing tons.
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

Total weight of the wheat placed on 45th square will be = 1.26\times 10^{6}tons

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one  grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = a(r^{n-1})

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

1\times (2^{45-1}) = 2^{44}=1.76\times 10^{13}

Then the weight of wheat will be = 2.51\times 10^{9}pounds=1.26\times 10^{6}tons



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What is the answer to 3/x-2 is ≥12
Tju [1.3M]

Answer:

The answer to your question is 0 < x ≤ 3/14

Step-by-step explanation:

Here are the steps to solve it.

First, you need to solve your inequality step-by-step:

3/x −2 ≥ 12

-2x + 3/x = ≥12

Next, find the critical points of the inequality:

2x + 3/x = 12

−2x + 3 = 12x (Multiply both sides by x)

−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)

−14x + 3 = 0

−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)

−14x = −3

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So, that gives you your answer:

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3 0
3 years ago
Janie receives R150 pocket money per month. In the new year his mother increase his pocket money in the ratio 6:5. Calculate Jan
dimaraw [331]

Answer:

Janies' monthly pocket money is $180.

Step-by-step explanation:

Janies' adjusted monthly pocket money:

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Let his new pocket money be represented by x,

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6 0
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How many terms will the following expression have once it is simplified?
MA_775_DIABLO [31]

Answer:

B


Step-by-step explanation:

<em>Let's multiply this out and combine like terms:</em>

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