No it does NOT make sense to state density in kilograms per square meter. Density has to be stated in terms of mass per unit of volume and NOT per unit of area.
Integration by substitution is an integration method meant to "undo" the chain rule for differentiation. This method is useful for some integrands containing compositions of functions.
For example, substitution is good for finding the antiderivative of 2x•cos(x^2). The quadratic function nested inside the cosine function suggests that substitution might be useful. And it is... the antiderivative is sin(x^2)+C
The answer is Choice C.
If triangle IUP has angles I=50, U=60, P=70. The longest side of the triangle would be IU because if you draw the triangle and put the amounts of the angles in the correct place you draw a line across from the biggest angle to the side across from it and that gives you the longest side
Lynn mixes 39 pounds of water with 48 pounds of brick dust, so the mixture has a total weight of 39 + 48 = 87 pounds.
13 pounds are spilled during mixing, so she's left with 87 - 13 = 74 pounds to turn into bricks.
7 pounds are needed for 1 brick, so she can make 10 bricks because 7 • 10 = 70 and 7 • 11 = 77, and 70 < 74 < 77.
If she uses the mixture to make 10 bricks, she uses up 70 pounds of it, which leaves 4 pounds to be washed out.
Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
