<span>loga (2) = 0.3812
</span><span>loga (3) = 0.6013
</span><span>loga (5) = 0.9004
</span><span>and we should know that loga a = 1
</span>
∴ loga (30a)³ = 3 loga (30a) = 3 loga (2 * 3 * 5 * a) = 3 ( loga 2 + loga 3 + loga 5 + loga a ) = 3 ( <span>0.3812 + 0.6013 + 0.9004 + 1 )
</span> = 3 * 2.8829 = 8.6487
The correct answer is option <span>C. 8.6487</span>
Answer:
Step-by-step explanation:
Starting from the y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
you do 
by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:
<em>Greater</em><em> </em><em>than</em>
![\displaystyle 0 > 4[0] - 2 → 0 > -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3E%204%5B0%5D%20-%202%20%E2%86%92%200%20%3E%20-2)
☑
<em>Less</em><em> </em><em>than</em><em> </em>
![\displaystyle 0 < 4[0] - 2 → 0 ≮ -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3C%204%5B0%5D%20-%202%20%E2%86%92%200%20%E2%89%AE%20-2)
This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:
I am joyous to assist you anytime.
Answer:
21
Step-by-step explanation:
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
so...
15 + 6 = 21
<h2>
Answer:</h2>
ΔABC ~ ΔADC by AA similarity.
Answer:
Cookie monster needs to steal at least 6 cookies more.
Step-by-step explanation:
Given:
Number of cookies already stole = 4
Total number of cookies he wants to steal 
We need to find how many cookie he needs to steal more.
Solution:
Let number of cookies he needs to steal more be 'x'.
Now we can say that;
Number of cookies already stole plus number of cookies he needs to steal more should be greater than or equal to Total number of cookies he wants to steal
framing in equation form we get;
Now using Subtraction property of Inequality we will subtract both side by 4 we get;
Hence Cookie monster needs to steal at least 6 cookies more.
