Topic
Q:
Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \)
dengan pembatas-pembatas sebagai berikut
\( x+y \leq 8 \)
\( 2 x-3 y \leq 6 \)
\( x \leq 5 \)
\( y \geq 1 \)
a. gambarkan daerah layak
b. tentukan Z minimum
Q:
8. \( [5-68 . c] \quad \) Write the explicit rule and
determine the 100 th term for the given
sequence. \( \quad 24,19,14, \ldots \)
Q:
Gegee die funksie \( f(x)=3^{-x} \).
6.1 Gee die vergelyking van \( g \) indien \( g \) die refleksie van \( f \) in die \( y \)-as is en wat
3 eenhede afwaarts geskuif word.
B.2 Bereken die \( x \)-afsnit van \( g \).
Q:
Vergelyk die volgende getalpatroon met die oorspronklike getalpatroon wat in
VRAAG 3.1 hierbo gegee is:
\[ 4 ; 28 ; 70 ; 130 ; \ldots \]
3.2.1 Beskryf, in woorde, hoe hierdie nuwe patroon gevorm is.
3.2.2 Bepaal die waarde van die \( 15^{\text {de }} \) term in hierdie patroon.
Q:
Use propenties of logarithms to condense
the logarithmic expression. Write the
expression as a single logarithm whose
coefficient is 1 . Where possible, evaluate
logarithmic expressions. \( 7 \ln (x-4) \) - \( 3 \ln x \)
Q:
Determina il valore dell'espressione in notazione scientifica :
\[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]
Q:
Find the domain of the logarithmic
function. \( f(x)=\log (2-x) \)
Q:
Evaluating Logarithms. Find the value of the given variable.
\( \begin{array}{lll}\text { 1. } \log _{4} 16=x & 3 \cdot \log _{x} 1000=3 & \text { 5. } \log _{3} x=4 \\ \text { 2. } \log _{27} \frac{1}{3}=z & \text { 4. } \log _{m} 81=4 & \text { 6. } \log _{5} y=2\end{array} \)
Q:
Cutting speed, when applied to a grinding wheel, is called surface speed. What is the surface speed in ft/min of a 5 -in-diameter grinding wheel revolving at 1,100 rpm? (Surface
speed \( = \) circumference in feet \( \times \mathrm{rpm} \). )
Q:
Cutting speed, when applied to a grinding wheel, is called surface speed. What is the surface speed in ft/min of a 9-in-diameter grinding wheel revolving at 1,500 rpm? (Surface
speed \( = \) circumference in feet \( \times \) rpm.)
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