Let f[t] denote the set of all polynomials in the variable t whose coefficients lie in a field f and for which addition and multiplication are defined as in section 1.1. thus, q[t), r[t] and c[t] are the sets of polynomials whose coefficients are, respectively, rational, real and complex (a) show that q[t), r[t], c[t] are integral domains. (b) show that f[t] is an integral domain. (c) interpret z[t) and show that z[t] is an integral domain. (d) interpret f(t1, tm). show that this is an integral domain. we say that f[t] is the set of polynomials over f. 5. (a) show that every field is an integral domain. (b) show that every integral domain satisfies the cancellation law: if ac = bc and c = 0, then a = b. 6. let m > 2 be a positive integer. the set zm consists of the numbers 10.1.2.-1). we define addition and multiplication on this

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

345

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: