Topic
Q:
The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each
additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates.
\( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)
Q:
What is \( -\frac{3}{4} x-\frac{1}{3}+\frac{7}{8} x-\frac{1}{2} \) written in simplest form?
Q:
What is \( 5 c-3 d-12 c+d-6 \) written in simplest form?
Q:
(f) \( \frac{1}{6} \times \frac{3}{8}-\frac{1}{10} \)
Q:
What is \( 8 z+x-5-9 z+2 \) written in simplest form?
Q:
What is \( -y+9 z-16 y-25 z+4 \) written in simplest form?
Q:
6 A plane flies on a true bearing of \( 280^{\circ} \mathrm{T} \) at \( 600 \mathrm{~km} / \mathrm{h} \)
after taking off at 1300 hours. To the nearest
kilometre, how far north of its starting position
is it at 1530 hours?
Q:
\( 37 ; 33 ; 29 ; x ; 21 ; \ldots \).
Write down the value of \( x \).
Determine the \( n^{\text {th }} \) term of the number pattern.
Determine the \( 15^{\text {th }} \) term of the sequence.
Which term is the first to have a negative value.
Q:
Evalúa la integral \( \int \frac{x-1}{2 x+4} d x \)
Escoge 1 respuesta:
(A) \( \frac{1}{2} x-\frac{1}{2} \ln |x+2|+C \)
(3) \( \frac{1}{2} x-\ln |x+2|+C \)
\( \frac{1}{2} x-\frac{3}{2} \ln |x+2|+C \)
\( \frac{1}{2} x-2 \ln |x+2|+C \)
Q:
Si la siguiente serie geométrica infinita converge, encuentra su suma.
\( 1+\frac{3}{5}+\left(\frac{3}{5}\right)^{2}+\left(\frac{3}{5}\right)^{3} \ldots \)
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