Average of 0,444 in 45 battings can be wirtten as:
45 * 44,4% = 19,98
After rounding it up it'll give us 20 and that's exactly how many hits Karen got.
Answer:
2x + 2y
Step-by-step explanation:
10x + 5y - ( 3x + 4y + 5x - y )
10x + 5y - 3x - 4y - 5x + y)
2x + 2y
Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
Answer:
b. 4^-3
Step-by-step explanation:
The expression can be simplified to a number of different levels. Here, it looks like the answer choices want you to simplify it like this:
![\dfrac{8^{-3}}{2^{-3}}=\left(\dfrac{8}{2}\right)^{-3}=\boxed{4^{-3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%5E%7B-3%7D%7D%7B2%5E%7B-3%7D%7D%3D%5Cleft%28%5Cdfrac%7B8%7D%7B2%7D%5Cright%29%5E%7B-3%7D%3D%5Cboxed%7B4%5E%7B-3%7D%7D)
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In this case, the applicable rule of exponents is ...
(a/b)^c = (a^c)/(b^c)
Answer:
x = 5
Step-by-step explanation:
Applying Pythagoras' identity to the right triangle
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x =
= 5