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5 answers
To solve the inequality \( 6x + 1 < 5x - 8 \), follow these steps:
Subtract \( 5x \) from both sides: \[ 6x - 5x + 1 < -8 \] This simplifies to: \[ x + 1 < -8 \]
Subtract 1 from both sides: \[ x < -8 - 1 \] Which simplifies to: \[ x < -9 \]
So the solution to the inequality is: \[ x < -9 \]
In interval notation, this is expressed as: \[ (-\infty, -9) \]
A hydroelectric dam captures mechanical energy as the water passes through. The kinetic energy of the moving water is transformed into electrical energy through turbines.
The correct sequence of energy transformations that occurs when baking cookies in an oven is:
Heat energy → chemical energy
The heat from the oven transforms the ingredients (such as sugar and flour) into baked cookies through the chemical processes of baking. Thus, the correct choice is:
However, since this specific option is not available, the best matching transformation sequence is likely derived from the initial input of electrical energy transforming to heat within the oven, continuing through to chemical energy in the cookies. But in terms of just the baking process, it is primarily:
This indicates that heat energy is primarily responsible for causing chemical changes in the dough to produce baked cookies.
