A computer randomly picks a number from the group 75, 76, 77, 78, 79.

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

boyakko [2]

Answer:

Part 1) On square 18 should be place $131,072\ grains$

Part 2) The total number of grains of wheat is $18,446,744,073,709,551,615\ grains$

Part 3) The total weight is $W=2,635,249,153,387,079\ pounds$

Step-by-step explanation:

we know that

In a<u> Geometric Sequence</u> each term is found by multiplying the previous term by a constant

Part A) How many grains of wheat should be placed on square 18?

In this problem we have

a1=1

a2=2

a3=4

a4=8

The common ratio (r) is equal to

a2/a1=2/1=2

a3/a2=4/2=2

a4/a3=8/4=2

so

r=2

the explicit rule for the nth term is equal to

$an=a1(r^{n-1} )$

For n=18

we have

a1=1

r=2

substitute

$a18=(1)(2^{18-1})$

$a18=(2^{17})$

$a18=131,072\ grains$

Part 2) Find the total number of grains of wheat on the board

we know that

The formula of the sum in a geometric sequence is equal to

$S=a1\frac{1-r^{n}}{1-r}$

we have

a1=1

r=2

n=64

substitute

$S=(1)\frac{1-2^{64}}{1-2}$

$S=\frac{1-2^{64}}{-1}$

$S=18,446,744,073,709,551,615\ grains$

Part 3) Find the total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)

To obtain the total weight multiply the total grains by (1/7,000)

$W=2,635,249,153,387,078.8\ pounds$

Round to the nearest pound

$W=2,635,249,153,387,079\ pounds$

8 0

2 years ago

If 13 candy bars cost $21.97, how much do 20 candy bars cost?

Paul [167]

Answer: $33.80

Step 1: Find out the cost for one candy bar

To find out the cost for one candy bar, you will need to divide $21.97 by 13. Another way to say this would be by rewriting the equation as 13x=21.97. After dividing, you see that one candy bar is $1.69.

Step 2: Find out the cost for 20 candy bars

To figure out the cost of 20 candy bars, simply multiply the price for one by 20. Another way to say this would be by rewriting this as 1.69x20=33.8.

Step 3: Your answer!

By completing the above steps, you have figured out the answer of $33.80.

Hope this helps!

5 0

3 years ago

How do you use a number line to add integers?

iogann1982 [59]

1. Add a positive integer by moving to the right on the number line.

2. Add a negative integer by moving to the left on the number line.

3. Subtract an integer by adding its opposite.

8 0

3 years ago

Kareem is putting 8 books in a row on his bookshelf. He will put one of the books, Pride and Prejudice, in the first spot. He wi

loris [4]

Answer: