A book has a front and a back and 200 pages. The front and back cover are each 0.7 mm thick, measured to 1 decimal place.
Each page is 0.14 mm thick, measured to two decimal places.
Calculate the minimum thickness of the book.
Some working must be shown.

28.3mm

Step-by-step explanation:

upper bound of front and back cover=0.75mm and lower bound=0.65mm

lower bound of page=0.135mm and upper bound=0.145mm

As there is a front and back cover we multiply the lower bound by 2

as there is 200 pages we multiply the lower bound by 200

(0.65*2)+(0.135*200)=28.3mm

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

christopher is 272,195 year old

step-by-step explanation: