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The area of the replica

An art gallery is selling replicas of some famous artworks. A copy of the artwork is dilated by a scale factor of 1313 to create a replica of the original piece. If the area of some original artwork was 1212 square feet, what will be the area of the replica? Enter the...

The perimeter of the garden bed

A friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 62 bricks, and each brick is 8 inches long. You would like the garden bed to be slightly more than twice as long as it is wide, as shown in...

The Pythagorean Theorem

One of the most famous formulas in mathematics is the Pythagorean Theorem. It is based on a right triangle and states the relationship among the lengths of the sides as a2+ b2= c2, where a and b refer to the legs of a right triangle and c refers to the hypotenuse. It...

The density and strength of concrete

The density and strength of concrete are determined by the ratio of cement and aggregate (aggregate is sand, gravel, or crushed stone). Suppose that a contractor has 460 ft3 of a dry concrete mixture that is 70% sand by volume. How much pure sand must be added to form...

Quadratic Function

Classify the following functions as one of the types of functions that we have discussed.Quadratic FunctionFind an equation of the quadratic below:Find a formula for a cubic function if (−2) = 𝑓(1) = 𝑓(3) = 0 and 𝑓(2) = 8f(x) = -x^3 + 6x^2 – 13x + 8Ex 1) Let...
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