6. K=4
7. N=11
8. C=2
9. R=7
10. R=4
11. Y=1
12. R=7
13. N=7
Answer:
to estimate the sum you round to the closest number like 38 is closest to 40 so you just say you total is $40.00
difference is when say you have 30 dollars and you spend 10 the difference is 10 dollars
The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
#SPJ1
6x-2(3x+2)=-4.
that would reduce after distributing the negative two to the parentheses as:
6x-6x-4=-4.
that can be reduced because the x’s cancel out. when you move the -4 over by adding 4, those cancel out too. therefore, the answer is infinite. hope this helps!!
Answer:
I think the second one
Step-by-step explanation:
I haven't learned how to do this.
