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A curve passes through the point (0, 9) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? (Use x as the independent v
Twenty business majors and 18 economics majors go bowling. Each student bowls one game. The scorekeeper announces that the mean for the 18 economics majors is 144 and the mean score for entire group
Find an expression for the function whose graph is the line segment joining the points (2, -2) and (6, 0). (Assume that these points are in the form (x, f(x)).)
A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a straight river bank instead of fencing as one side of the rectangle
A grower planned to plant 160 trees in an orchard. He planted n equal rows. Write down an expression for the number of trees in each row.
Question: Let f(x) = x^2 + x + 12. What is the value of f(x) for which the tangent line to the graph of y = f(x) is parallel to the x -axis?
A right triangle with vertices (5,1) (1,4) and (1,1) is located in the first quadrant of the Cartesian plane. Find the equation of the hypotenuse of the right triangle.
Question: A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this p
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume is a constant. Suppose that, for a certain gas, PV = 800, where P is m
Discuss the discontinuities of this function and their significance to someone who parks in the lot.
The table shows values of a force function f(x), where is measured in meters and f(x) in newtons. Use the Midpoint Rule to estimate the work done by the force in moving an object from x = 4 to x = 2
Estimate the instantaneous rate of growth in 1996 by taking the average of two average rates of change. What are its units?
Given the function Y= 2x^2 - 12x + 13.Using the method of completing the square, put the function in standard form for a parabola.
One diagonal of a parallelogram is 21.871 inches.it makes angles of 43 deg. 20.5 mins. and 56 deg. 14.2 mins. respectively with the sides. Find the sides of the parallelogram.
If 3.9g of CH4 and 75.31g of Cl2 are allowed to react, what is the maximum mass of HCl that can be isolated?
Consider the time it takes the faculty of PWSH to drive to school. The mean and the median times are calculated. Of the times, 40 minutes and 25 minutes, which is the mean and which is the median? W
Give an example of a situation where finding the cross product of two sets is useful and explain why it is useful. Your example should include two sets and their cross product.
A (1, 5) and B (4, 9) are two adjacent vertices of a square. find the equation of the line on which the side BC of the square lies. How long are the sides of this square?
Assume that ABCD is a convex quadrilateral. Show that in absolute geometry, the sum of the measure of angles in any quadrilateral cannot exceed 360 degrees.
A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53°. Find the area of the park to the nearest square foot.
A piece of paper 24 in long by 18 in wide, is folded once in such a way that two diagonally opposite corners are made to coincide. What is the length of the crease?
Given triangle ABC. If triangle ABC is congruent to triangle BAC and triangle ABC is congruent to triangle ACB. What conclusions can be drawn about triangle ABC? Explain your reasoning?
What is the number of sides in a regular polygon in which the measure of an interior angle is twelve more than six times the measure of an exterior angle?
A tower casts a shadow 100 feet long. A 9 foot pole is placed upright at the point P so that the tip of its shadow coincides with the tip of the shadow of the tower at point O. Distance OP is measur
Given that Triangle ABC = Triangle DEF, measure of angle A = 70 degrees, measure of angle B = 60 degrees, measure of angle C = 50 degrees, measure of angle D = (3x + 10) degrees, measure of angle E