Consider the polynomial ring z_p [x]. determine a formula for the number of irreducible quadratic polynomials in z_p [x]. hint: first show there are (p-1) p^2 total quadratic polynomials. next calculate the number of reducible polynomials of the form x^2+ax+b, and use this to calculate the number of reducible quadratics. then subtract this from the total number of quadratics.

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year.how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.

Which is a graph of a proportional relationship?

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest