Q:
Choose the correct option:
Calculate the following and simplify your answer:
\[ 1 \frac{1}{2} x-\frac{2}{3} x \]
\( \frac{5}{6} x \)
\( \frac{2}{3} x \)
\( x \)
Q:
(a) The percentage of infected people reaches a maximum after 11 days.
(Simplify your answer.)
(b) The maximum percent of the population infected is \( \square \% \).
(Round to the nearest hundredth as needed.)
Q:
4) Write the statement in logarithmic form: \( 10^{a}=5 \)
a) \( 0 \log 5=a \)
b) \( 5=\log _{a} 10 \)
c) \( \log \left(\frac{1}{2}\right)=a \)
d) \( \log _{a} 5=\frac{1}{10} \)
Q:
The sign of the correlation indicates whether the correlation between the independent variable and dependent variable
is negative or positive
(A) True
(B) False
Q:
1) Factorise the following
a) \( 6 x-2 \)
b) \( 8 x+14 \)
c) \( 6 x+9 \)
d) \( 10 x-5 \)
e) \( 12 x+18 \)
Q:
4) Write the statement in logarithmic form: \( 10^{*}=5 \)
a) \( 0 \log 5=a \)
b) \( 5=\log _{a} 10 \)
c) \( \log _{\left(\frac{1}{2}\right)=a} \)
d) \( \log _{a} 5=\frac{1}{10} \)
Q:
Correlation is a relatively quick way to test for causality as well as statistical significance.
(A) True
(B) False
Q:
\( \left.\begin{array}{ll}4 & \text { Probability } \\ 5 \quad & \text { Pythagoras } \\ \text { Calculate the Length of the unknown side of the Right-Angled Triangle Using the } \\ \text { formular i.e. } r^{2}=x^{2}+y^{2}\end{array}\right\} \)
Q:
3) Solve for \( x: 9^{4 x+2}=27 \)
a) \( x=-\frac{1}{8} \)
b) \( x=-\frac{1}{2} \)
c) \( x=\frac{1}{8} \)
d) \( x=\frac{1}{2} \)
Q:
A ball is thrown from an initial height of 4 feet with an initial upward velocity of \( 31 \mathrm{f} / \mathrm{s} \). The ball's height \( h \) (in feet) after \( t \) seconds is given by the following.
\[ h=4+31 t-16 t^{2} \]
Find all values of \( t \) for which the ball's height is 18 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
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