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In **Mathematics** / **College** | 2025-07-03

[Open]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]?

In **Mathematics** / **High School** | 2025-07-03

[Open]Factor completely $12 x^5+6 x^3+8 x^2$ Prime $2\left(6 x^5+3 x^3+4 x^2\right)$ $2 x\left(6 x^4+6 x^2+4 x\right)$ $2 x^2\left(6 x^3+3 x+4\right)$

In **English** / **High School** | 2025-07-03

[Open]Use a possessive noun to replace the underlined words. Write the new sentence. 1. The race of the men starts first. 2. Mario is riding the bike of Joshua in this race. 3. The bikes of the boys are red. 4. The helmet of one girl is orange. 5. I am recording the times of the racers.

In **Mathematics** / **College** | 2025-07-03

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

In **Mathematics** / **College** | 2025-07-03

[Open]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?

In **Mathematics** / **College** | 2025-07-03

[Open]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]

In **Mathematics** / **College** | 2025-07-03

[Open]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.

In **Mathematics** / **High School** | 2025-07-03

[Open]$5 x^6-3 x^4 \quad 6 x^3-9 x^2

In **Biology** / **College** | 2025-07-03

[Open]Which type of growth occurs when population grows? A. decreasing B. exponential C. linear D. logistic

In **Mathematics** / **High School** | 2025-07-03

[Open]By setting t=0 in \[ f(t) = \frac{\pi^2}{6} + \sum_{n=1}^{\infty} -\frac{\pi}{n^2} (\cos(n\pi) + 1) \cos(nt) \] show that \[ f(t) = \frac{\pi^2}{6} = \sum_{n=1}^{\infty} \frac{1}{n^2} \] where \[ f(t) = t^2 - \pi t, \quad 0 < t < \pi \]