Answer:
A) 32 kg/m
B) 48 kg/m
C) 72 kg/m
Step-by-step explanation:
We are given mass is; m = 4x²
Linear density is the derivative of mass with respect to the position x. So linear density is;
ρ = dm/dx
Differentiating 4x²,we have; ρ = 8x
A)at x = 4; ρ = 8(4) = 32 kg/m
B) at x = 6; ρ = 8(6) = 48 kg/m
C) at x = 9; ρ = 8(9) = 72 kg/m
The scale factor is 5.
If you multiply each side of the small triangle by 5, you get the length of the large triangle
Hope this helps
We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = 
feet = 5.25 feet.
We are also told that Maria has 
foot of trim left, so total length of trim would be trim used plus trim left that is 
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = 
yards = 2 yards
Therefore, the length of the trim was 2 yards.
The distance that Kirsten and Molly need to bike on their third day is obtained by subtracting the sum of the distances they have traveled after two days from the length of the entire route.
distance left = 156 miles - (64 miles + 45 miles)
= 47 miles
Thus, Kirsten and Molly need to bike 47 miles on their third day.
Answer:
6
Step-by-step explanation:
The median is 6. You can find it by counting the frequency of states visited, dividing by 2 then finding the value that corresponds.
