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What is the relationship between an exponential function, such as y = 2x, and a logarithmic function, such as the logarithm of x to the base of 2? What values does understanding logarithmic functions allow you to solve for?
Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.
The formula d = sqrt 15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Express the construction cost of the box as a function of the length of its base.
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.
Another man bought one of each of the two types at a cost of $.98. Find the cost of each kind of apple.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
A factory employs several thousand workers, of whom 20% are Hispanic. If the 20 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n =..
a tree leans at an angle of 8 degrees from the vertical. from a point 7m from th bottom of the tree, the anglr of elevation to the top of the tree is 68 degrees. how tall is the tree?
The square of the largest of three positive consecutive integers is 320 less than the sum of the squares of the two smaller integers. Find the three integers.
Your textbook outlines a specific 4-step strategy that is used to solve general algebraic equations.
A particle is moving along the curve y=42x+5 . As the particle passes through the point (212), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
create an integral whereby you are forced to use all four types of integration. work the problem and explain why each
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