ORA PROVA TU Due cariche elettriche \( Q_{1}=1,0 \mathrm{nC} \) \( \mathrm{Q}_{2}=-6,0 \mathrm{nC} \) si trovano in un mezzo, a \( 6,0 \mathrm{~cm} \mathrm{di} \) di- stanza l'una dall'altra. Una terza carica \( Q_{3}=7,5 \mathrm{nC} \) po- sta tra le prime due, a \( 2,0 \mathrm{~cm} \) di distanza dalla prima, subisce una forza totale di modulo \( 7,4 \times 10^{-5} \mathrm{~N} \). Calcola la costante dielettrica relativa del mezzo.

c) \( \left(\log _{0,2} 1\right)^{\log _{6} 6^{5}} \)

Consider the following number pattern: \[ 1 ;-3 ;-9 ;-17 ; \ldots \] 2.1.1 Write down the next 2 terms of the sequence. 2.1 .2 Determine the general term for the number pattern. 2.1 .3 Determine the value of the \( 30^{\text {th }} \) term in the number pattern. 2.1 .4 Which term in the pattern will have a value of -7479 ? \( 2.1+3=4 \) Consider the following continuous pattern below that emerges when odd numbers are \( 1+3+5=9 \) \( 1+3+5+9+7=16 \) Hence calculate the value of the pattern: \( 1+3+5+7+\ldots+1001 \)

\( 5\pi 214\frac{6621\sqrt {62142x22+3625\times 595452}}{} \)

he domain and the range of \( f(\boldsymbol{x})=\sqrt{16-x^{2}} \) is ..... \( \begin{array}{llll}\text { (a) }\left[\begin{array}{ll}D_{f}=R^{+} & \\ \left.\left.R_{f}=\right]-\infty, 4\right]\end{array}\right] & \text { (b) }\left[\begin{array}{l}\left.D_{f}=\right]-4,4[ \\ \left.R_{f}=\right] 0,4[ \end{array}\right] & \text { (c) }\left[\begin{array}{l}D_{f}=[-4,4] \\ R_{f}=[0,4]\end{array}\right] & \text { (d) }\left[\begin{array}{l}D_{f}=R \\ \left.R_{f}=\right] 4,-\infty[ \end{array}\right]\end{array} \)

\( B, D \) and \( E \) are points on a circle with centre \( O \). \( A B C \) is the tangent to the circle at \( B \). Work out the size of angle \( O D E \). Write down any circle theorems you use. tangent and a radius is \( 90^{\circ} \) ) Angleen a \( O B E= \) angle \( O B C- \) angle EBC \( =90^{\circ}-69^{\circ}=21^{\circ} \)