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an 0.4 kilogram sample of aluminum at 115 degrees celius is put in to an container containing 0.5 kilograms of water at 15 degrees celius. Neglecting the small amount of energy absorbed by the container and knowing the specific heat of aluminum 900 kJ/kg*C is and the specific heat of the water is 4186 kJ/kg*C.
Is the heat absorbed by the water is greater smaller or the same?
A fitness ball id delivered in a flat package with a hand pump. The pump inflates the ball at 280cmcubed per pump, to a diameter of 28cm. How many pumps are needed to inflate the ball? Explain how you got your answer.
How would you use the root or ratio test to determine the convergence or divergence of
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
Find the p-value for each of the following hypothesis testing situations.
Write a equadratic equation in the variable x having the given number a solutions. Type the equation in standard form, ax^2+bx+c=0 Solution s, only solution.
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
suppose the length of a rectangle increases,but the perimeter remains at 70 feet. How does the width change?
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
there are 312 coins of the same time in two stacks.one stack of coins is 15 inches tall.the other stack is 9 inches tall. find the thickness of one coin to the nearest thousandths of a inch.
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