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Questions in mathematics

[Jawaban] Which solution value satisfies the inequality [tex]x+10\ \textgreater \ 12[/tex]? A) [tex]x=3[/tex] B) [tex]x=2[/tex] C) [tex]x=-1[/tex] D) [tex]x=0[/tex]

[Jawaban] Write an exponential function [tex]y=a b^x[/tex] for a graph that includes (-4,72) and (-2,18). [tex]f(x)=0.5(4.5)^x[/tex] [tex]f(x)=4(0.2)^x[/tex] [tex]f(x)=2(4)^x[/tex] [tex]f(x)=4.5(0.5)^x[/tex]

[Jawaban] 15.) $4 x-7=-15+3 x$ 16.) $-2-5 x=-4 x-6+5$

[Jawaban] Suppose that two certain cars have the following average operating and ownership costs: | | Average Costs per Mile | | :---- | :-------------------------------------------------- | | | Operating | Ownership | Total | | Car A | $0.24 | $0.74 | $0.98 | | Car B | | | | If you drive 30,000 miles per year, by how much does the total annual expense for Car A exceed that of Car B over six years? The total annual expense for Car A exceeds that of Car B by $ (Round to the nearest dollar as needed.) $\square$ over six years.

[Jawaban] If [tex]$f(x)=-3(x-2)^2+6$[/tex], what is [tex]$f(0)$[/tex]?

[Jawaban] Katya is a ranger at a nature reserve in Siberia, Russia, where she studies the changes in the reserve's bear population over time. The relationship between the elapsed time [tex]$t$[/tex], in years, since the beginning of the study and the bear population [tex]$B(t)$[/tex], on the reserve is modeled by the following function. [tex]$B(t)=5000 \cdot 2^{-0.05 t}$[/tex] In how many years will the reserve's bear population be 2000? Round your answer, if necessary, to the nearest hundredth. [ ] years

[Jawaban] Simplify the following: $\left(2 x^2+3 x-3\right)\left(3 x^2+2 x+3\right)$

[Jawaban] Divide the following: $\frac{2 x^2-3 x-20}{x-4}$

[Jawaban] \frac{\sin ^2\left(360^{\circ}-\theta\right) \cdot \cos ^2\left(360^{\circ}-\theta\right)}{\sin \left(180^{\circ}+\theta\right) \cdot \sin \left(180^{\circ}-\theta\right)}

[Jawaban] $4 \frac{1}{2}+2 \frac{1}{3}$