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The half-life of a certain radioactive material is 75 days. An initial amount of the material has a mass of 381 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 15 days. Round your answer to the nearest thousandth.
Find the slope of the line that passes through the points (3, -5) and (-4, -6). Find the equation in slope-intercept form, of the line that passes through the points (3, 6) and (-7, -3); write equation in slope-intercept form.
state the value of the discriminant and the number of real solutions.
Calculate the percentage of students who score less than 700
A sample of participants took part in a hearing experiment. Among other things, the absolute hearing threshold (in decibels) was measured for each participant.
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
The surface area of this pyramid is 189 The area of the square base is 49. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
A particle is moving along the curve y = 5 √{5 x + 11}. As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
A plane flies 430 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 30mph, what is the speed of the plane in still air?
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
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