Answer:
$300
Step-by-step explanation:
y = 100x + 300
where X represents the amount of months.
Answer:
g(5n)=5n^2+4
Step-by-step explanation:
Substitute 5n for x
5n^2+4
You can't really do much with this so that is the answer
Both measurements are correct if you're rounding the dogs height.
But the more precise measurement would be 11 1/4.
Mainly because its a smaller fraction so it has more meaning to it instead of just plain 11
It would get more precise as the fraction got larger
For example.
Not very precise
11, 11 1/2, 11 1/4,
Precise
11 1/8, 11 1/16
Hope this helps!
Brainliest is always appreciated if you feel its deserved!<span />
Answer:
x = -2
Step-by-step explanation:
-3 = -13 - 5x
-3 + 13 = -5x
10 = -5x
10 ÷ (-5) = x
-2 = x
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm