Step-by-step explanation:
every flip has 2 possible outcomes.
1 flip has 2.
2 flips have 2×2 = 2² = 4
3 flips have 2×2×2 = 2³ = 8
and so on.
the number of possible combinations flipping a coin n times is
C(n) = 2^n
for 10 flips
C(10) = 2¹⁰ = 1024
possible outcomes or combinations.
<h2>
<u>Requi</u><u>red</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>
Given system of linear equations are ,
And we need to find the Solution of the linear equation . So let's Firstly number the equations .
<u>→</u><u> </u><u>Multipl</u><u>ying</u><u> </u><u>equⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>by</u><u> </u><u>3</u><u> </u><u>,</u>
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
<u>→</u><u> </u><u>Addin</u><u>g</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>equations </u><u>,</u><u> </u>
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
<u>→</u><u> </u><u>Put</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>in</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>,</u>
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
<h3>
<u>★</u><u> </u><u>Hence</u><u>
the required solution is ( 0 , 2 ) .</u></h3>
Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.