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You begin with a 400 ml of pure water (assume the density of the water is 1 g cm-3), and make a solution of 7 % salt (NaCl) by mass.
1. What is the mass of the water?
2. What is the mass of the salt in your solution?
3. After the evaporation, your solution lost 100 g of mass. How much salt (NaCl) is left in the solution?
4. What is the salinity (in parts-per-thousand, or ppt) of this new solution?
What is the probability of a false positive with this test (e.g. the probability of obtaining a positive drug test given the person tested is a non-user)?
Find the area of the lateral surface over the curve C in the xy-plane and under the surface z = f(x,y), where the lateral surface area is is given by the integral below.
Explain in your own words how factoring is used to solve quadratic equations. Demonstrate the process with an example.
find the affine coordinates of x (0)/ with respect to {p0, p1,p2}.
Does this suggest there is a linear relation between attendance and achievement score? Write a sentence that explains what this result might mean.
Where G is the geometry matrix [p0 p1 p2 p3] and u (t) is the column vector (1, t, t2 , t3). In a uniform B-spline, each segment uses the same basis matrix, but the geometry matrix changes. Construct the basis matrix MS for x(t).
In the interest of saving up enough money for retirement, you have created a bank account to store a sum of money. Compound interest on this account is accumulated at 6% a month, but you withdraw 500 a month for living expenses.
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
Kelly invested $1,500 in the stock market on January 1. She lost 1/3 of it by the end of January and 2/5 of the remaining amount by the end of February. How much did she have left?
Use the Empirical Rule to find what two values 68% of the data will fall between for a data set
Let f be the function given by f(x) = √(x4 - 16x2). No calculator allowed. Find the domain of f. Describe the symmetry, if any, of the graph of f.
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.)
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