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Questions in mathematics

[Done] The height, [tex]$d$[/tex], in feet of a ball suspended from a spring as a function of time, [tex]$t$[/tex], in seconds can be modeled by the equation [tex]$d=-2 \sin \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex]. The ball is released from its lowest point at [tex]$t=0$[/tex] seconds. Using your knowledge of the general form of sine and cosine functions, which of the following equations can also model this situation? [tex]$d=-2 \cos (\pi t)+5$[/tex] [tex]$d=-2 \cos \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex] [tex]$d=2 \cos (\pi t)+5$[/tex] [tex]$d=2 \cos \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex]

[Done] How many solutions does the system of equations $x-y=7$ and $y=\sqrt{3 x+3}-2$ have? A. 0 B. 1 C. 2 D. Infinitely many

[Done] Kim solved the equation below by graphing a system of equations. [tex]\log _2(3 x-1)=\log _4(x+8)[/tex] What is the approximate solution to the equation? A. 0.6 B. 0.9 C. 1.4 D. 1.6

[Done] Graph the following system of equations. [tex]\begin{array}{l} y=3 x+15 \\ 3 x+3 y=9 \end{array}[/tex] What is the solution to the system? A. There is no solution. B. There is one unique solution (-3,6). C. There is one unique solution (0,15) D. There are infinitely many solutions.

[Done] Find the distance between 4.9 and 3.1 on a number line.

[Done] The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area [tex]$250 cm^2$[/tex] and thickness 1 mm has a mass of 200 g. Find the formula which connects the mass M g, the area [tex]$Acm ^2$[/tex], and the thickness t mm. Hence find the mass of a piece of metal of area [tex]$400 cm^2$[/tex] and thickness 3 mm.

[Done] Find the difference between the scores. | Name | Score | |--------|--------| | Junaid | 65,029 | | Zia | 6,853 | | Hassan | 7,120 | | Ali | 4,002 | a) Difference between Junaid and Zia b) Difference between Hassan and Ali c) Difference between Junaid and Hassan d) Difference between Zia and Ali

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Find the derivative of the given expression. f(x) = ln((21x + 8)^4) f'(x) =

[Done] Which of the following division sums will give the remainder zero and why? (a) 47345 ÷ 5 (b) 53200 ÷ 100 (c) 325000 ÷ 1000 (d) 592005 ÷ 1000