Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
Put the coordinates of the point in for x, y, and z and see what the new constant is.
Your plane is
5x +4y +2z = -31
Answer:
x-intercept: (4, 0)
y-intercept: (0, 3)
Step-by-step explanation:
The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.
<h3>Intercepts</h3>
Setting x=0 and solving for y, we have ...
4y -12 = 0 ⇒ y = 12/4 = 3
Setting y=0 and solving for x, we have ...
3x -12 = 0 ⇒ x = 12/3 = 4
The intercepts are ...
x-intercept: (4, 0)
y-intercept: (0, 3)
<h3>Graph</h3>
The line will go through these intercept points.
Answer:
1.5467, 3.348, 3.3487, 3.4897
Step-by-step explanation:
Remember to compare each one number at a time!
For the first number, only one number is 1 while the others are 3 making it the lowest.
Then when comparing 3.348 and 3.3487, it can be implied that there is a 0 at the end of 3.348 because it makes the numbers have the same # of decimal places without changing the value of the number (3.3480). That number is less than 7.
Finally, 3.4897 has a 4 in the tenths place instead of a 3 making it the highest number.
Hope this helps!
Answer:
2 and 4 :)
Step-by-step explanation:
