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Questions in mathematics

[Answered] Subtract: $(5 b^2+15)-(-11 b^2-4)$ Your answer should be in simplest terms.

[Answered] If a new boat was purchased for $45,000, and the value of the boat decays continuously at a rate of 8% per year, what is the value of the boat after 7 years? Use the formula [tex]A(t)=c e^{r t}[/tex].

[Answered] Simplify the following algebraic expression: [tex]$\frac{1}{4}(12 x+28)=\square$[/tex]

[Answered] A cylinder with a base diameter of $x$ units has a volume of $\pi x^3$ cubic units. Which statements about the cylinder are true? Select two options. A. The radius of the cylinder is $2 x$ units. B. The area of the cylinder's base is $\frac{1}{4} \pi x^2$ square units. C. The area of the cylinder's base is $\frac{1}{2} \pi x^2$ square units. D. The height of the cylinder is $2 x$ units. E. The height of the cylinder is $4 x$ units.

[Answered] Evaluate the expression $|187-278|$.

[Answered] Given [tex]$\sin \theta=\frac{\sqrt{5}}{3}$[/tex], what is [tex]$\cos \theta$[/tex]? Report your answer in simplest form. [tex]$\cos \theta=[?]$[/tex]

[Answered] $\frac{7.2}{9.1 \times 2.8}$ (a) Write down your full calculator display. (b) Write your answer to 1 significant figure.

[Answered] What is the rounded value of the 0 in the 10,000 position of 205000?

[Answered] $[(2+0.0031)+(41 / 123)] \times(2.45 \times 1.83)$

[Answered] Solve $4^{x-5}=6$ for $x$ using the change of base formula $\log _b y=\frac{\log y}{\log b}$.