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Question Number 201433 Answers: 3 Comments: 0

A truck, P, travelling at 54km/h passes a point at 10:30 am while another truck, Q travelling at 90km/h passes through this same point 30 minutes later. At what time will truck Q overtake P?

$${A}\:{truck},\:{P},\:{travelling}\:{at}\:\mathrm{54}{km}/{h}\:{passes} \\ $$$${a}\:{point}\:{at}\:\mathrm{10}:\mathrm{30}\:{am}\:{while}\:{another}\:{truck}, \\ $$$${Q}\:{travelling}\:{at}\:\mathrm{90}{km}/{h}\:{passes}\:{through} \\ $$$${this}\:{same}\:{point}\:\mathrm{30}\:{minutes}\:{later}.\:{At} \\ $$$${what}\:{time}\:{will}\:{truck}\:{Q}\:{overtake}\:{P}? \\ $$

Question Number 201430 Answers: 1 Comments: 0

Find: (2/(35)) + (2/(63)) + (2/(99)) + (2/(143)) = ?

$$\mathrm{Find}: \\ $$$$\frac{\mathrm{2}}{\mathrm{35}}\:+\:\frac{\mathrm{2}}{\mathrm{63}}\:+\:\frac{\mathrm{2}}{\mathrm{99}}\:+\:\frac{\mathrm{2}}{\mathrm{143}}\:=\:? \\ $$

Question Number 201427 Answers: 2 Comments: 0

{ ((sin(x+y)=cos(x−y))),((tanx−tany=1)) :} (x,y)=(?,?)

$$\begin{cases}{{sin}\left({x}+{y}\right)={cos}\left({x}−{y}\right)}\\{{tanx}−{tany}=\mathrm{1}}\end{cases} \\ $$$$\left({x},{y}\right)=\left(?,?\right) \\ $$

Question Number 201426 Answers: 1 Comments: 0

cosx−(√3)sinx=1 x=?

$${cosx}−\sqrt{\mathrm{3}}{sinx}=\mathrm{1} \\ $$$${x}=? \\ $$

Question Number 201425 Answers: 1 Comments: 0

prove that ((1−cosA+cosB−cos(A+B))/(1+cosA−cosB−cos(A+B)))=tan(A/2)∙cot(B/2)

$${prove}\:{that} \\ $$$$\frac{\mathrm{1}−{cosA}+{cosB}−{cos}\left({A}+{B}\right)}{\mathrm{1}+{cosA}−{cosB}−{cos}\left({A}+{B}\right)}={tan}\frac{{A}}{\mathrm{2}}\centerdot{cot}\frac{{B}}{\mathrm{2}} \\ $$

Question Number 201421 Answers: 1 Comments: 5

Question Number 201418 Answers: 2 Comments: 0

2025^(2025) = x (mod 17 )

$$\:\:\:\:\:\:\mathrm{2025}^{\mathrm{2025}} \:=\:\mathrm{x}\:\left(\mathrm{mod}\:\mathrm{17}\:\right) \\ $$

Question Number 201411 Answers: 0 Comments: 1

Question Number 201408 Answers: 3 Comments: 0

Question Number 201401 Answers: 0 Comments: 0

Question Number 201393 Answers: 1 Comments: 1

by diffention find f ′(z) of f(z) = (z)^(1/3)

$${by}\:{diffention}\:{find}\:{f}\:'\left({z}\right)\:{of}\:{f}\left({z}\right)\:=\:\sqrt[{\mathrm{3}}]{{z}} \\ $$

Question Number 201388 Answers: 2 Comments: 0

Question Number 201383 Answers: 0 Comments: 2

Question Number 201374 Answers: 1 Comments: 0

Question Number 201373 Answers: 2 Comments: 0

Question Number 201370 Answers: 0 Comments: 1

Question Number 201357 Answers: 0 Comments: 1

Question Number 201355 Answers: 1 Comments: 0

Question Number 201353 Answers: 1 Comments: 1

Question Number 201352 Answers: 3 Comments: 0

2023^(2023) = ... (mod 13)

$$\:\:\:\mathrm{2023}^{\mathrm{2023}} \:=\:...\:\left(\mathrm{mod}\:\mathrm{13}\right) \\ $$

Question Number 201351 Answers: 2 Comments: 0

Question Number 201350 Answers: 2 Comments: 0

Question Number 201349 Answers: 1 Comments: 0

Question Number 201348 Answers: 1 Comments: 0

Question Number 201347 Answers: 1 Comments: 0

Question Number 201346 Answers: 0 Comments: 0

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