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The equation of the line perpendicular to this line going through (a + 4, b + 6), Are the lines is equations of perpendicular to each other, or parallel?
The amount of caffeine in the bloodstream decreases by 25% every hour. How many hours will it take for the amount of caffeine to reach half of the amount in the initial espresso?
From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 29 ^\circ. How high (in feet) is the mountain?
A camera in the control tower is taping the plane's flight. The speed that the camera must turn to keep up is ____ radians per second.
What is domain of function T? Find adjusted gross income g as function of federal income tax T.what are the domain and the range of this function?
Write a system of linear equations to represent the situation. Then use Cramer's rule to find the number of $10 bills.
The four suquential sides of a quadrilateral have lengths 4.5 cm, 7.9 cm, 9.4cm, and 12.9. The angle between the two sides is 117 degrees. What is the area of this quadrilateral?
Two planes leave the same airport at the same time. One flies at at 20 degrees east of north at 500 miles per hour. How far apart are the planes after 2 hours?
Find the annual percentage yield (APY) for a savings account with annual percentage rate of 3% compounded quarterly.
What does the change from exponential growth to linear growth indicate about the long-term concentration in the atmosphere.
Yesterday, he hiked 39 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground. Write the answer as a fraction and show all steps please.
By cutting out equal corners of side x and bending up the sides explain how to determine the maximum possible capacity for a storage bin constructed in this way. What is the maximum cpacity?
Three hours after taking a pain medication, 41% of the medication still remains in the bloodstream. Let m be the 1-hour decay factor. Find the 6-hour decay factor.
On May 1, 2008, the forest service stocked a lake with 125 bluegill fish. On October 1, five months later, they estimated the population of bluegill in the lake to be 195. Find the 5-month percent c
What is the 4-day decay factor as a numeric value? What is the 4-day decay factor in terms of b? What is the 3-hour decay factor as a numeric value? What is the 3-hour decay factor in terms of m?
An inductor ( L = 42.9 mH), a capacitor ( C = 86.8 micro farad ), and a frequency of 60.0 HZ, determine the power supplied to these elements.
Verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. Give any values of x that need to be excluded from the domain of f and the domain of g.
The general equation for this is given by V t = Vpeak=sin 2pi*f*t , where Vpeak is the peak voltage (amplitude) and f is the frequency. Determine the following For time value t.
Accordin to this model, when will the population of the country reach a) 302 million people? b)372 million people? Give the year as an answer for a and b.
Construct a model that gives the concentration C of the brine after boiling it. (Let x represent the number of liters of water that Sarah boiled off.)
For the given cost function C(x) = 16\sqrt{x}+{x^2}/{274625} find the marginal cost at the production level 1700. The production level that will minimize the average cost.
Similarly, one additional unit will be occupied for each 2 dollar decrease in rent. What rent should the manager charge to maximize revenue?
He wants to mix 100 pounds of caramels in with chocolates and sell the mixture at $8 per pound. How many pounds of chocolates must he add to the mix to achieve this?
If the angle of depression from the person's eyes to the wreck is 32 degrees, how far away is the accident from the base of the tower?
Find the quadratic function satisfying the given conditions. The axis of symmetry is the line x=1. The y-intercept is 1. There is only one x-intercept.