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Questions in mathematics

📝 Answered - $5-6-8= -9 -19 -7 -11

📝 Answered - The radius of a circle with an area of 60 square centimeters is represented by the expression [tex]$\sqrt{\frac{60}{\pi}}$[/tex] centimeters. What is another way of expressing the radius? A. [tex]$2 \sqrt{15 \pi}$[/tex] B. [tex]$4 \sqrt{5 \pi}$[/tex] C. [tex]$\frac{2 \sqrt{15 \pi}}{\pi}$[/tex] D. [tex]$\frac{4 \sqrt{5 \pi}}{\pi}$[/tex]

📝 Answered - Which is a solution to the equation? [tex](x-2)(x+5)=18[/tex] A. [tex]x=-10[/tex] B. [tex]x=-7[/tex] C. [tex]x=-4[/tex] D. [tex]x=-2[/tex]

📝 Answered - If [tex]f(x)=x^2-2 x[/tex] and [tex]g(x)=6 x+4[/tex], for which value of [tex]x[/tex] does [tex](f+g)(x)=0[/tex]?

📝 Answered - Factor completely $12 x^5+6 x^3+8 x^2$ Prime $2\left(6 x^5+3 x^3+4 x^2\right)$ $2 x\left(6 x^4+6 x^2+4 x\right)$ $2 x^2\left(6 x^3+3 x+4\right)$

📝 Answered - Factor the expression. [tex]$-3 r-15$[/tex] Factor out a negative number. [](r+[])

📝 Answered - The loudness of a jack hammer is 96 dB. Its sound intensity is about [tex]$\sqrt{ } 0.004 v$[/tex]. The loudness of a compactor is 94 dB, its sound intensity is about [tex]$\sqrt{ } 0.0025 v$[/tex]. The sound intensity of the jack hammer is about how many times the sound intensity of the compactor?

📝 Answered - Answer. Write the answer in simplest form. 1. [tex]\frac{1}{6} \times \frac{5}{9}=[/tex] 2. [tex]\frac{2}{5} \times \frac{7}{8}=[/tex] 3. [tex]\frac{6}{7} \times \frac{2}{9}=[/tex] 4. [tex]18 \times \frac{5}{6}=[/tex] 5. [tex]\frac{5}{24} \times \frac{8}{15}=[/tex] 6. [tex]\frac{16}{7} \times \frac{21}{8}=[/tex] 7. [tex]2 \frac{11}{12} \times \frac{2}{5}=[/tex] 8. [tex]1 \frac{3}{4} \times \frac{20}{21}=[/tex] 9. [tex]4 \frac{9}{10} \times 1 \frac{1}{7}=[/tex] 10. [tex]8 \frac{1}{3} \times 4 \frac{1}{2}=[/tex]

📝 Answered - In triangle PQR, angle QPR is acute, PQ = 10 cm and PR = 14 cm. (a) The area of triangle PQR is 48 cm². Calculate angle QPR and show that it rounds to 43.3°, correct to 1 decimal place.

📝 Answered - $5 x^6-3 x^4 \quad 6 x^3-9 x^2