Answer:
x=16
Step-by-step explanation:
Hope this helps
Answer:
n < 2
Step-by-step explanation:
Let
The unknown number = n
8 < 4n
n < 8 / 4
n < 2
therefore, n must be less than 2
If n = 2
Then, 8 Will be equal to 4 times the number
Answer:
exponent of x is 33
exponent of y is 0
Step-by-step explanation:
you need to combine all powers (exponents) of x, and all exponents of y separately.
remember : x to the power of a divided by x to the power of b is x to the power of (a-b).
when multiplying, the "-" turns into a "+".
so, we have actually for x the exponent calculation :
8 - 14 -(-39) = 8 - 14 + 39 = 33
so, x³³ remains.
and for the y exponents
-26 -(-5) -(-21) = -26 + 5 + 21 = 0
so, all the y expressions eliminate each other and y⁰ remains.
Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
Yes.
This is the same thing as:
How many times can 6 go into 36?
6 times
Try:
6*6=36
So true.
Hope this helps! :D
