Answers:
Step 1 is distributive property
Step 2 is distributive property (again)
Step 3 is commutative property
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Explanation:
The distributive property is the idea of multiplying the outer value by each inside value in the parenthesis. In general, the rule is a*(b+c) = a*b+a*c. We have the outer term 'a' multiplied by each inner term b and c. Then we add the products. The distributive property is used twice to multiply the two binomials. Your teacher and/or book may refer to it as the FOIL rule. FOIL stands for "first, outer, inner, last" which is a handy way to remember the order in how to multiply binomials.
The commutative property is the idea of adding or multiplying two values in any order we want. In this case, we're focusing on adding. This allows us to swap the terms to go from -5y^2+9x^2 to 9x^2+(-5y^2) = 9x^2-5y^2
Answer:
the integer in question lies between 13 and 14.
Step-by-step explanation:
Review the perfect squares in the neighborhood of 194. The first that came to my mind was 225 (the squre of 15), and then 196 (the square of 14), and then 169, the square of 13.
Since 169 < x^2 < 196, the integer in question lies between 13 and 14.
Check with a calculator: √194 ≈ 13.93
Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
=12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
No from D to F the line is slanted which throws off both triangles but that does not make the the same
You can fit 2 in each or 3 can have some in it
