Lin says she can tell that 25 x^2+40x+16 and 49x^2-112x+64 are perfect squares because each expression has the following characteristics, which she saw in other perfect squares in standard form: The first term is a perfect square. The last term is also a perfect square. If we multiply a square root of the first term and a square root of the last term and then double the product, the result is the middle term. Show that has the characteristics Lin described. 11) The first term is a perfect square. 12) The last term is also a perfect square. 13) If we multiply a square root of the first term and a square root of the last term and then double the product, the result is the middle term.

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

Jayne is studying urban planning and finds that her town is decreasing in population by 3% each year. the population of her town is changing by a constant rate. true or false?

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =