There is 2n+150 litres of oil in total. We have to divide this oil into 3 equal parts which will be named Tank A, Tank B, Tank C.
C was empty at first, then it was delivered 500 litres in total. So if every tank was supposed to have one thirds of it, that means one thirds of the oil equals to 500 litres.
All of the oil would be 500x3=1500 litres
2n+150 was the formula to our total litre count, so if we make a connection between them, we can solve this question for the value of n.
2n+150=1500
2n=1350
n=675
Cos <span>2</span><span>x </span><span>= </span><span>2</span><span>cos^</span><span>2</span><span>(</span><span>x</span><span>) </span><span>− </span><span>1</span>
2<span>cos^</span><span>2 </span><span>(</span><span>x</span><span>) </span><span>− </span><span>1 </span><span>− </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>≡ </span><span>2</span><span>cos^</span><span>2</span><span>(</span><span>x</span><span>) </span><span>− </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>− </span><span>1</span>
Let <span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>y</span>
2<span>y^</span><span>2 </span><span>− </span><span>y </span><span>− </span><span>1
</span><span>(</span><span>2</span><span>y </span><span>+ </span><span>1</span><span>) </span><span>(</span><span>y </span><span>− </span><span>1</span><span>) </span>y <span>= </span><span>−</span><span>1/2
</span><span>y </span><span>= </span><span>1</span>
y <span>= </span><span>cos</span><span>(</span><span>x)</span>
∴ <span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>−</span><span>1/</span><span>2 ; </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>1</span>
x <span>= </span><span>2/</span><span>3 </span><span>π ;</span><span> </span><span>x </span><span>= </span><span>0</span>
solutions;x <span>= </span><span>2/</span><span>3 </span><span>π</span><span>, </span><span>x </span><span>= </span><span>0</span><span>, </span><span>x </span><span>= </span><span>4/</span><span>3 </span><span>π</span><span>, </span><span>x </span><span>= </span><span>2</span><span>π</span>
A million seconds is not that long. My next birthday is in 1,296,000 seconds
from now, and I have already lived more than 2.3 billion seconds !
(1,000,000 seconds) x (1 day / 86,400 seconds) =
11days 13hours 46minutes 40seconds .
It's possible that you might have one birthday within that length of time,
but it's not guaranteed. It would have to be the RIGHT million seconds.
If that's been your whole life so far ... you are 1 million seconds old ..,
then you have not had your first birthday yet.
Answer:
x = 70.71
Step-by-step explanation:
log 2x² + 2 = 6.
log 2x² + log 100= log 10⁶.
2x² × 100 = 10⁶
2x² = 10⁶/100
2x² = 10⁴
x² = 10⁴/2
x² = 5000
x = √5000
x is approximately 70.71
x = 70.71
