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GenaCL600 [577]
3 years ago
8

Consider a game board that has 49 squares. You place 1 grain of wheat on the first square, 2 on the next, 4 on the next, 8 on th

e next, and so on to the 49th square. How many total grains of wheat will there be? Write your answer using scientific notation.
Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

2^0+2^1+2^2+...+2^49

Step-by-step explanation:

1=2^0

2=2^1

4=2^2

8=2^3

and so on

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Please help asap (:
Korolek [52]
For this case we first define the variable:
 x = number of terms.
 The equation that models the problem is:
 f (x) = 3.4 - 0.6x
 We have then that the first four terms are:
 x = 1
 f (1) = 3.4 - 0.6 (1) = 3.4 - 0.6 = 2.8
 x = 2
 f (2) = 3.4 - 0.6 (2) = 3.4 - 1.2 = 2.2
 x = 3
 f (3) = 3.4 - 0.6 (3) = 3.4 - 1.8 = 1.6
 x = 4
 f (4) = 3.4 - 0.6 (4) = 3.4 - 2.4 = 1
 Answer:
 
The rule for the sequence is:
 
f (x) = 3.4 - 0.6x
 option 1
7 0
3 years ago
Read 2 more answers
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Stolb23 [73]

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

6 0
3 years ago
What are two expressions that are equivalent to 6(5j + 2 + j)?<br><br><br><br>​
ziro4ka [17]

Answer:

1. 30j+12+6j

2. 36j+12

3. 6(6j+2)

Step-by-step explanation:

1. You just multiply so... 6x5j ... 6x2 ... 6xj

2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12

3. you do what's in the parentheses first so 5j+j=6j so .... 6(6j+2)

5 0
4 years ago
Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value
kondaur [170]
<h3>Answer:  false</h3>

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

8 0
4 years ago
Simplify:9-1÷2÷27^2÷3​
sammy [17]

<u>First let's calculate the exponents.</u>

27^2 : 729 = 9-1\div \:2\div \:729\div \:3

<u>Now we should multiply and divide.</u>

<u />1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}<u />

<u>Now we should add and subtract.</u>

<u />9-\frac{1}{4374} :\frac{39365}{4374} =  \frac{39365}{4374}<u />

<u>Convert the improper fractions into mixed numbers.</u>

<u />8\frac{4373}{4374}<u />

<u />

<u>Answer : </u>

<u />8\frac{4373}{4374}<u />

<u />

5 0
3 years ago
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