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Inessa05 [86]
3 years ago
12

Simplify The Expression. 12/c^-8d^2

Mathematics
1 answer:
Katarina [22]3 years ago
7 0
If you're going to write negative exponents, please enclose them inside parentheses:

12 / c^(-8)
                                       12      8d^2
<span>12/c^-8d^2 becomes  --------- - ---------
                                       c^8        1

Here the LCD is c^8, so the above expression becomes:

 12         c^8*d^2       12-(c^8)(d^2)
------- - ------------- = ---------------------
 c^8          c^8                   c^8</span>
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A square has sides of length 8.4 . Work out the length of a diagnol of the square . Give your answer correct to 3 significant fi
sweet [91]

Answer:

The length of the diagonal is 11.879 units

Step-by-step explanation:

On any rectangle or square, any 2 adjacent sides and the diagonal that connects them makes a right triangle. The diagonal is the hypotenuse of that right triangle, and you can find it using the pythagorean theorem:

a^2+b^2=c^2

where a and b are the sides, and c is the diagonal.

\rightarrow8.4^2+8.4^2=c^2\\\rightarrow70.56+70.56=c^2\\\rightarrow c^2=141.12\\\rightarrow c\approx11.879

3 0
3 years ago
Help plz ill give extra points
Vinil7 [7]
The correct answer is D. An outlier on a graph is going to be a point that is either off center of the line that can be drawn or that is further away from the rest of the points. In this case the point at 0, 18 is the furthest point so therefore it must be the outlier. Noticing that at that point the length and mass of the shark is very small, it is fair to say that that shark is a newborn small shark and he is the outlier among the larger and longer sharks in the ocean.

Hope this helps
3 0
3 years ago
(10 points!) Help is appreciated!! :)
lesantik [10]
D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.

If the base of the exponent in a general function p(x) is lower, this means that large negative values of x will result in large positive values of p(x). Example: (1/5)^(-10)= almost 10 million, while (1/2)^(-10)= only 1024.
4 0
4 years ago
Read 2 more answers
Please help me please help me help please
kari74 [83]

Answer:

i think it is b. 3

Step-by-step explanation:

but don''t quote me on it

7 0
3 years ago
Read 2 more answers
If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c
Ilia_Sergeevich [38]

Answer:

2a - b -c

Step-by-step explanation: We know that:

log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\

and we want:

log_2 \frac{25}{21}.

We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).

log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.

The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:

log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)

= 2 log_2(5) - log_2 3 - log_2 7 .

Substituting the variables:

2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c

8 0
3 years ago
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