rationalise the denominator by multiplying both top and bottom by (8-5√3) then expand and simplify
Answer:
78.6km/h
Step-by-step explanation:
<em><u>Speed=distance÷time</u></em>
<u>distance</u>=21km
<u>time</u>=16 minutes<u>(convert into hour by dividing it</u> <u>with 60)</u>
=16÷60=0.267
Speed=21÷0.267=78.65km/h


Make x the subject means you need to solve for x
y = ax^2 solve for x
divide both side by a
y/a = ax^2/a
simplify
y/a = x^2
so
x = square root (y/a)
Answer:
no enough evidence to draw up a conclusion
Step-by-step explanation:
Data:
let:
= decay after 2 weeks
= decay after 16 weeks
Making the hypotheses:
Null hypothesis; 
the deviation = 0.05
the standard difference = 4
Conditions:
The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.
Then,

Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.
Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.
9514 1404 393
Answer:
(x, y) = (-11, 4)
Step-by-step explanation:
You can subtract 3 times the second equation from the first to eliminate y.
(7x +9y) -3(x +3y) = (-41) -3(1)
4x = -44
x = -11
Substituting into the second equation gives ...
-11 +3y = 1
3y = 12
y = 4
The solution is (x, y) = (-11, 4).