I think it's 6.216 x 10^8 if this is about standard notation
Answer:
-1/9
Step-by-step explanation:
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Answer:
6 laptops
Step-by-step explanation:
First, find the amount spent on the textbooks:
30(116)
= 3480
Subtract this from the total amount they have to spend:
6500 - 3480
= 3020
Divide this amount by 439 to find how many laptops they can buy:
3020/439
= 6.8
Round down to 6 since you can only have full laptops:
= 6
So, they can buy 6 laptops
Answer:
Step-by-step explanation:
Three or more points that lie on the same line are collinear points.
I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.
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Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³