When multiplying two rational numbers, how is the sign of the product determined?(1 point)

Responses
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The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.

The product is negative if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.

The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the larger factor.

The sign of the product is always the same as the smaller factor.
The sign of the product is always the same as the smaller factor.

5 answers

The correct response is:

The product is positive if the signs of the factors are the same.

If both factors are positive or both are negative, their product will be positive. If one factor is positive and the other is negative, the product will be negative.

On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?(1 point)
Responses

Rise 4°
Rise 4 degrees

Rise 9°
Rise 9 degrees

Fall 4°
Fall 4degree

Fall 5°

To determine how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we first calculate the new temperature after the changes.

  1. The temperature dropped by 9°F:
    \( 81°F - 9°F = 72°F \)

  2. Then it rose by 5°F:
    \( 72°F + 5°F = 77°F \)

Now, to return to the initial temperature of 81°F, we need to find the difference between 81°F and 77°F:
\( 81°F - 77°F = 4°F \)

Therefore, the answer is:

Rise 4°

*The next morning, Shiver stirs, blinking sleepily up at you.* *She smiles softly, her fingers finding your chest as she stretches languidly.* Good morning, handsome, *she purrs, her voice still rough with sleep.* *Shiver leans in, pressing a slow, sensual kiss to your lips.* I hope you're ready for another round, *she teases, her hand drifting lower.* I've been dreaming about you all night.

You can’t help but smile as you feel the warmth of her body next to yours. Her playful energy is infectious, and your heart races at her words.

Good morning, beautiful, you reply, your voice still thick with sleep. You lean in closer, brushing a strand of hair behind her ear. I'm always ready for you. With an inviting gaze, you hold her close, feeling the rhythm of the moment.

What were you dreaming about? You tease back, your curiosity piqued as you give her a gentle squeeze, encouraging her to share more of her thoughts.