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A teacher bought a package of 48 markers for her first-grade class. After one school year, 13 markers were still working. What fraction of the package of markers was working? Express the result using a simple, convenient fraction that is close in value to the exact answer.
For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle. State the ideas from the tool kit that justify the procedure you use.
A spin system consists of spins that have a non-degenerate ground state and an m-fold degenerate excited state with energy ε. The spins are interacting so weakly that they be considered as independent.
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.
how number sense help students to learn mathematics?
A discrete dynamical system model for the population of cheetahs and gazelles in Namibia is given by the following pair of equations:
A 5 × 7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.
A bowling ball of mass 5.2 kg falls from a roof 7.8 m above the ground. When the ball reaches the ground, what is the kinetic energy of the ball?
A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.
Write the slope-intercept equation of a function f whose graph satisfies the given conditions.
A colony of bacteria is growing exponentially, doubling in size every 140 minutes. How many minutes will it take for the colony of bacteria to triple in size?
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