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How many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 15% antifreeze to get a mixture that is 80% antifreeze? Please show your work.
Find a basis for the subspace spanned by the given vectors.
multiple choice question from probability.choose the one alternative that best completes the statement or answer the
If a ball is thrown directly upward with a velocity of 24 ft/s, its height (in feet) after t seconds is given by y = 24t - 16t^2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
What is the highest grade Tom can get if there is only one more 100 point test and all the tests are equally weighted. the teacher rounds final grades to the nearest integer.
Problem - Let F(x, y, z) = (x/y)i + (y/z)j + (z/x)k, Find the divergence of F
What is the probability that a randomly chosen employee is a female given that she is an hourly staff?
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
A students calculate the density of an element to be 7.78 g/cm3. The density listed on the periodic table is 7.13 g/cm3. Calculate the percent error and identify the element.
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
A population is expected to change according to the function and where P(t) is the population t months from 1st January 2001.
A computer password consist of any five capital letters from the ordinary english alphabet. How many different passwords start with the letter z?
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