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Mathematics

1 answer:

Ket [755]3 years ago

7 0

<h3>Answer: w < 8</h3>

w is a place holder for the cat's weight. It's some positive real number.

To describe all weights less than 8, we simply write w < 8.

For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.

Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.

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Write the recursive rule and the iterative rule for the following sequence: 10, 6, 2, -2, -6

barxatty [35]

The recursive rule is
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The iterative rule is
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The recursive rule is given by the formula
$a_n=a_{n-1}+d$ , where d is the common difference. Our common difference is -4, which gives us the recursive rule above.

The iterative rule begins with the formula
$a_n=a_1+d(n-1)$ , where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4:
$a_n=10+(-4)(n-1)
\\\text{Using the Distributive Property,}
\\
\\a_n=10+(-4*n)+(-4*-1)
\\
\\a_n=10-4n+4
\\
\\\text{Combining like terms,}
\\
\\a_n=14-4n$

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Answer:

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A and B are complementary angles if angle a equals (X +24) and angle B equals (X +16) then what is the measurement of b

Hatshy [7]

If A and B are complementary angles, then they add up to 90 degrees.

So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.

So x = 25, and thus, the measurement of B is (25 + 16) = 41.

The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.

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