NBT Toets 5

Die grafiek van \(y=sinx\) se periode en amplitude halveer. Die vergelyking van die nuwe grafiek is

The period and the amplitude of the graph \(y=sinx\) halve. The equation of the new graph is

• \(y=\frac{1}{2}sin(\frac{1}{2}x)\)

• \(y=\frac{1}{2}sin(2x)\)

• \(y=2sin(\frac{1}{2}x)\)

• \(y=2sin(2x)\)

Bepaal die waarde van/ Determine the value of \(\frac{1}{cos60^\circ}+2sin150^\circ\)

• 3

• \(1+\sqrt{3}\)

• \(2+\sqrt{3}\)

• 0

\(tan35^\circ .tan55^\circ\) =

• \(tan^235^\circ\)

• \(tan^255^\circ\)

• 1

• 0

Watter stelling is onwaar:/ Which statement is not true:

• \(sin(-x)=-sinx\)

• \(cos(-x)=cosx\)

• \(sin(x-90^\circ)=-cosx\)

• \(cos(x-90^\circ)=-sinx\)

Jan leen R25000 by 'n bank. Hy gaan dit in 24 gelyke paaiemente terug betaal. Sy eerste paaiement is drie maande na die lening toegestaan is. 'n Formule wat gebruik kan word om sy paaiement te bereken is:

Jan borrows R25000 from a bank. He will pay it back in 24 equal installments. His first installment was granted three months after the loan was granted. A formula that can be used to calculate its installment is:

• \(25000=\frac{x[1-(1+i)^{-24}]}{i}\)

• \(25000(1+i)^3=\frac{x[1-(1+i)^{-22}}{i}\)

• \(25000(1+i)^2=\frac{x[1-(1+i)^{-22}}{i}\)

• \(25000(1+i)^2=\frac{x[1-(1+i)^{-24}}{i}\)

The parabola \(y=-2x^2-4x-3\) is shown. Which sketch is the most likely:

Gert, Jan, Koos en Piet deel 'n sak albasters in die verhouding 3 : 1 : 5 : 7. Koos en Piet het saam 48 albasters. Hoeveel het Gert?

Gert, Jan, Koos and Piet share a bag of marbles in the ratio 3: 1: 5: 7. Koos and Piet together have 48 marbles. How much does Gert have?

• 12

• 9

• 4

• 3

Die 4'e en 5'e term van 'n kwadratiese ry met konstante 2'e verskil van 4 is 22 en 39. Die 2'e term is

The 4th and 5th terms of a quadratic sequence with constant 2nd difference of 4 are 22 and 39. The 2nd term is

• 0

• 9

• -12

• 13

'n Koppie koffie se temperatuur is \(93^\circ\) C. Daarna koel dit af volgens die fromule \(T=a\times b^x+c\) waar \(x\) die tyd in ure en \(T\) die temperatuur van die koffie is. Na 2 ure is die koffie se temperatuur \(33^\circ\) C. Die waardes van \(a, b\) en \(c\) is

The temperature of a cup of coffee is \(93^\circ\) C. Then it cools according to the following foromula \(T=a\times b^x+c\) where\(x\) is the time in hours and \(T\) the temperature of the coffee.. After 2 hours the coffee's temperature is \(33^\circ\) C. The values of \(a, b\) and\(c\) are

• \(a=23\)
  \(b=0,2\)
  \(c=70\)

• \(a=100\)
  \(b=0,1\)
  \(c=83\)

• \(a=70\)
  \(b=0,2\)
  \(c=23\)

• \(a=80\)
  \(b=0,5\)
  \(c=13\)

Die waarde van/ The value of
\(sin^21\circ +sin^22\circ + sin^23\circ+....+sin^287\circ + sin^288\circ + sin^289\circ =\)

• \(44\frac{1}{2}\)

• \(44+\frac{1}{\sqrt{2}}\)

• \(44-\frac{1}{\sqrt{2}}\)

• \(sin^2(1^\circ + ^\circ + ..... + 99^\circ\)

Watter van die volgende is van die oplossings van \(sinx+cos2x=0\)

Which of the following are solutions of \(sinx+cos2x=0\)

• \(-60^\circ of -90^\circ\)

• \(-60^\circ of 90^\circ\)

• \(-30^\circ\) of \(90^\circ\)

• \(-30^\circ\) of \(-90^\circ\)

Die reguitlyn \(y=\frac{3}{4}x-12\) gaan deur die punte \(P(4;9)\) en \(Q(x;y)\). Verder is \(PQ=\)15 eenhede. Dan is \(Q\) die punt

The straight line \(y=\frac{3}{4}x-12\) goes through the points \(P(4;9)\) and \(Q(x;y)\). Further \(PQ=\)15 units. Then \(Q\) is the point

• (16; 0)

• (12; -3)

• (-4; -15)

• (8; -6)

Die hoogte van 'n silinder halveer en die radius verdubbel. Dan sal die volume

Halve the height of a cylinder and double the radius. Then the volume will

• dieselfde bly/ Stay the same

• halveer/ halve

• verdubbel/ double

• ver-driedubbel/ tripple

'n Stel data het 'n gemiddeld van \(\overline{x}\) en standaardafwyking van\(\sigma\). As elke data item met 5 toeneem, sal

A set of data has an average of \(\overline{x}\) and standard deviation \(\sigma\). If each data item increases by 5, then

• \(\overline{x}\) en/ and\(\sigma\) met 5 toeneem/ will increase by 5

• \(\overline{x}\) met 5 toeneem en/ will increase by 5 and \(\sigma\) bly konstant / will stay constant

• \(\overline{x}\) konsstant bly en/ stay constant and \(\sigma\) met 5 toeneem/ will increase by 5

• \(\overline{x}\) en/ and \(\sigma\) beide konstant bly/ will both stay constant

Die waarde van/ The value of \( \left( -8 \right)^{\left( -3 \right)^{-1}}\)

• 512

• -512

• 2

• \(-\frac{1}{2}\)

Watter van die volgende is 'n rasionale getal/ Which of the following is a rational number

• \(\pi\)

• \(\sqrt{-1}\)

• \(1,2\dot{3}\)

• \(\sqrt{10}\)

Vir watter waardes van \(x\) sal \(\frac{\sqrt{x+3}}{x}\) reël wees?

For which values of \(x\) will\(\frac{\sqrt{x+3}}{x}\) be real?

• \(x=-3\)

• \(x\geq-3\)

• \(x<-3\)

• \(x\geq-3; x\neq0\)