My career goal is to eventually become a high school math/computer science teacher. I had to stop my schooling due to needing to support my husband through school. Now we are expecting our first baby and my plans are being pushed back a little. After my husband has completed his schooling, I plan on getting a teaching degree online.
Let $Q$ represent a mass of carbon 14$(14 \mathrm{C})$ (in grams), whose half-life is 5715 years.The quantity of carbon 14 present after $t$ years is $Q=10\left(\frac{1}{2}\right)^{t / 5715}$(a) Determine the initial quantity (when $t=0$ ) (b) Determine the quantity present after 2000 years.(c) Sketch the graph of this function over the interval $t=0$ to $t=10,00$ .
Factor each four-term polynomial by grouping. See Examples 11 through 16.$$6 m^{2}-5 m n-6 m+5 n$$
Factor each four-term polynomial by grouping. See Examples 11 through 16.$$4 y^{4}+y^{2}+20 y^{3}+5 y$$
Factor each four-term polynomial by grouping. See Examples 11 through 16.$$12 x^{2} y-42 x^{2}-4 y+14$$
Factor each four-term polynomial by grouping. See Examples 11 through 16.$$90+15 y^{2}-18 x-3 x y^{2}$$
