Using the translation key , translate this argument into propositional logic, then write a proof for it.
J: John is a grandparent L: Lidia is a grandparent G: Gidhi has a baby O: Owi has a baby I: Izzy is alive If Lidia is a grandparent, then John is a grandparent. If either Owi or Gidhi has a baby, Lidia is a grandparent. Izzy is alive. If Izzy is alive, then Owi has a baby. Therefore, Lidia and John are grandparents.

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³