Answer:
Step-by-step explanation:
I have attached a written explanation to help :).
Let's say each side of the square =
If we put 7 squares in a row to make the rectangle,
length of the rectangle = 
Area of a rectangle = length multiplied by width
Area of rectangle = multiplied by = 
We are also told that the total area = 567
So 
Now solve for .
Divide both sides by 7.
Then square root both sides to find
= 9
Finally, the question asks to find the length of the collage which we said was and we know 
Length of collage = 
multiplied by 
= ?
10+12+14 = 36
12/36 x 11/35 x 14/34 = 11/255
There's your answer.
Check the picture below.
![\bf A=\cfrac{h(a+b)}{2}\quad \begin{cases} A=20\\ a=6z-1\\ b=2z+3\\ h=z \end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2} \\\\\\ 20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1) \\\\\\ 20=4z^2+z\implies 0=4z^2+z-20](https://tex.z-dn.net/?f=%5Cbf%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D%5Cquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D20%5C%5C%0Aa%3D6z-1%5C%5C%0Ab%3D2z%2B3%5C%5C%0Ah%3Dz%0A%5Cend%7Bcases%7D%5Cimplies%2020%3D%5Ccfrac%7Bz%5B%286z-1%29~%2B~%282z%2B3%29%5D%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0A20%3D%5Ccfrac%7Bz%288z%2B2%29%7D%7B2%7D%5Cimplies%2020%3D%5Ccfrac%7B2z%284z%2B1%29%7D%7B2%7D%5Cimplies%2020%3Dz%284z%2B1%29%0A%5C%5C%5C%5C%5C%5C%0A20%3D4z%5E2%2Bz%5Cimplies%200%3D4z%5E2%2Bz-20)
since the height is just a length unit, it can't be -2.3646.
Answer:
(D) f(x+1)=2f(x)
Step-by-step explanation:
The sequence is:
Now,
On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.
Therefore for term f(x), the next term f(x+1) is:
f(x+1)=2f(x)
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.
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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.
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C. False. The answer is roughly 0.000858 as shown by the calculation below
(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858
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D. False. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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E. True. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
