Answer:
wouldn't it be 6/5 or 5/6 or 1.2
Step-by-step explanation:
Answer:
n < 2
Step-by-step explanation:
This inequality can be solved the same way the corresponding 3-step linear equation would be solved.
8n +20 < 6n +24 . . . . . given
2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left
2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms
n < 2 . . . . . . . . . . . divide by the coefficient of the variable
Answer:
522250
How to round to the nearest tenth:
Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.
For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.
3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.
Answer:
{x,y,z} = {1,-1,-2}
Step-by-step explanation:
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
