Answer:
Password for the 1hdhhdhfhdhrhehjfujdjwjwjdjhf
Step-by-step explanation:
Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
Answer:
44.8 mph
Step-by-step explanation:
Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journy by motor bike.It took him 2 hours.Assuming that both took the same route,work out Mac's average speed in mph.
The above question is solved using Proportion method
2.5 hours = 56 mph
2 hours = x mph
Cross Multiply
2.5 hours × x mph = 2 hours × 56 mph
x mph = 2 hours × 56 mph/2.5 hours
x mph = 44.8 mph
Therefore, Mac's average speed = 44.8 mph
To answer this problem, you should know the formula that we will be using and this would be:
Angle of elevation = arc tan( (vertical height)/(length of the shadow)).
Plugging in the values in the formula. Here, this angle is:
arc tan (12.5/18) = <span>34.78 degrees</span>
The answer would be approximately 34.78 degrees