Let the side of the square base be x, and the height of the box be h.
<span>The material of the base is x^2, and the material of the four sides is 4xh. </span>
<span>4000 = hx^2 </span>
<span>h = 4000/x^2 </span>
<span>The total material is </span>
<span>M = x^2 + 4x(4000/x^2) = x^2 + 16000/x </span>
<span>Take the first derivative of M and set equal to 0. </span>
<span>M' = 2x - 16000/x^2 = 0 </span>
<span>Multiply by x^2: </span>
<span>2x^3 = 16000 </span>
<span>x^3 = 8000 </span>
<span>x = 20; h = 10; M = 1200</span>
Answer:
25.375
Step-by-step explanation:
17.50×45%=7.875
17.50+7.875=25.375 new price
Answer:
The equation of line is y = 3 x +18
Step-by-step explanation:
Given as :
The points are
(
, 
) = (- 9, -9)
(
, 
) = (- 6 , 0)
Let The slope = m
Now,<u> The slope is calculated in points form</u>
So, Slope = 
I.e m =
or, m = 
or, m = 
I.e m = 3
So, The slope of points = m = 3
<u>Now, the equation of line in slope - point form can be written as</u>
y - = m ( x - )
where m is the slope of line
i.e y - (-9) = ( 3 ) × ( x - (-9) )
or, y + 9 = 3 × (x + 9)
∴ y + 9 = 3 x + 27
Or, y = 3 x + 27 - 9
O,r y = 3 x + 18
So, The equation of line is y = 3 x + 18
Hence, The equation of line is y = 3 x +18 . Answer
Answer:
2/6 or 33.33%
Explanation:
There are 6 numbers all together and 2 of them are 20$.As a fraction this would look like 2/6. 2/6 is also 33.33% of the wallet and its also the probability of pulling out a $20 bill
y = | x -5| + |x+5|
as range of x is
-5 < x < 5
we can see if we put x = 0 we get
y = 10
we put any value of x in given range first term is always negative without absolute. and 2nd term is always positive
so
y = | x -5| + |x+5|
= -( x-5) + x + 5
= - x + 5 + x + 5
= 10
so
y = 10 where -5 < x < 5
