Answer:
Step-by-step explanation:
From the given information:
a)
Assuming the shape of the base is square,
suppose the base of each side = x
Then the perimeter of the base of the square = 4x
Suppose the length of the package from the base = y; &
the height is also = x
Now, the restriction formula can be computed as:
y + 4x ≤ 99
The objective function:
i.e maximize volume V = l × b × h
V = (y)*(x)*(x)
V = x²y
b) To write the volume as a function of x, V(x) by equating the derived formulas in (a):
y + 4x ≤ 99 --- (1)
V = x²y --- (2)
From equation (1),
y ≤ 99 - 4x
replace the value of y into (2)
V ≤ x² (99-4x)
V ≤ 99x² - 4x³
Maximum value V = 99x² - 4x³
At maxima or minima, the differential of
⇒ 198x - 12x² = 0
By solving for x:
x = 0 or x =
Again:
V = 99x² - 4x³
At x =
= -198
Thus, at maximum value;
Recall y = 99 - 4x
when at maximum x =
y = 33
Finally; the volume V = x² y is;
V = 8984.25 inches³
Answer:
The correct answer is 7 : 8.
Step-by-step explanation:
There are 14 girls and 2 boys taking karate lessons.
Total number of students taking the karate class is 16.
The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.
This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.
Answer:
12
Step-by-step explanation:
Given that :
Point X on number line 1 from 0= 2/3
Point Y on number line 2 from 0 = same distance as point X on number line
Point Y has a denominator of 8 ; the numerator is thus;°
Let denominator = d ; Fraction becomes 8/d
Thus `
Point X on 1 = point Y
2/3 = 8/ d
2d = 3 * 8
2d = 24
d = 12
C. 4x +5y -34=0.thats the answer hope it helps
Sorry this is just for points