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IrinaK [193]
3 years ago
7

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

is 22. find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. the missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115 11. the next number in the series 3, 4, 6, 7, 9, 10 is: 12 11 15 17 13 12. a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant? 72 66 69 63 75
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Alright, lets get started.

Missing number fom the series :  9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

6561^2 = 43046721

It means the missing number will be square of its previous number

Means 9^2 = 81, so missing number is 81.   :    Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, x = 3y + 2  ......equation (1)

Their sum is 22  means,  x+y = 22 .......equation (2)

Putting the value of x from equation1 into equation 2

3y + 2 + y = 22

4y + 2 = 22

Subtracting 2 in both sides

4y + 2 - 2 = 22 - 2

4y = 20

y = 5

x = 22 - y = 22 - 5 = 17

Means numbers are 17 and 5.   : Answer


Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as 2^2

27 could be written as 3^3

So , next number would be 4^4

4^4 = 256

Next one is 5^5 = 3125

So, the missing number is 256   :    Answer


Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12.   : Answer



Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = 3 * (2-1) = 3

Between 3 plants, the distance is = 3 * (3-1) = 6

So, between 23 plants, the distance is = 3 * (23-1) = 3 * 22 = 66

hene the distance between first and last plant woule be 66 feet.   :   Answer



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Answer:

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Step-by-step explanation:

2(x - 7) = 3(x+7)

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Rechecking :

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Answer:

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B)   7234.56 square units

Step-by-step explanation:

               

<u>Given functions</u>:

\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}

<u>Part A</u>

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}

<u>Part B</u>

Given

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Substitute the given values into the equation for A[p(t)} found in part A:

\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

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Step-by-step explanation:

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She will have 13 full bowls of nuts


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