Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
1.0638
Step-by-step explanation:
Given the question:
If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?
Torque = 12 Newton centimeter
Torque which is the turning effect on an object :
1 Newton = 0.225 pound force
1 centimeter = 0.394 inch
Hence ;
1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch
12 Newton centimeter is hence, equals :
(12 × 0.225 × 0.394) pound inch
= 1.0638 pound inch
Answer:
7x7x7
Step-by-step explanation:
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7. 4:6
8. 6 to 8
9. 4 to 6
10. 10:14
11. 22:18
12. 4 to 1
13. 2:12
14. 1 to 5
15. 14:22
16. 1:3