Carlos arranges his notes about radioactive decay in a graphic organizer. He wants to add the labels shown. Label 1: Photon Label 2: Positron Label 3: No change in mass number square Gamma Decay Beta Decay x Z Which is the best region for each label? Label 1: Z Label 2: X Label 3: Y Label 1: X Label 2:Z Label 3: X Label 1: X Label 2: Z Label 3: Y Label 1: X Label 2: Z Label 3: Z

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Carlos arranges his notes about radioactive decay in a graphic organizer. He wants to add the labels shown. Label 1: Photon Label 2: Positron Label 3: No change in mass number square Gamma Decay Beta Decay x Z Which is the best region for each label? Label 1: Z Label 2: X Label 3: Y Label 1: X Label 2:Z Label 3: X Label 1: X Label 2: Z Label 3: Y Label 1: X Label 2: Z Label 3: Z

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To determine the best region for each label, we need to understand what each type of decay involves and then match the labels to the appropriate parts of the Venn diagram.Gamma Decay:- Gamma decay is a type of radioactive decay where a gamma ray (a high-energy photon) is emitted from an excited nucleus. - There is no change in the mass number or atomic number of the nucleus during gamma decay.Beta Decay:- Beta decay is a type of radioactive decay where a beta particle is emitted from a nucleus. - Beta particles can be electrons (beta-minus decay) or positrons (beta-plus decay).- There is a change in the atomic number, but the mass number remains the same.Now, let's match the labels:Label 1: Photon- Photons are emitted during gamma decay, so this label should be associated with the Gamma Decay set. However, since photons are not involved in beta decay, the label should be in the part of the Gamma Decay set that does not overlap with Beta Decay. This is region X.Label 2: Positron- Positrons are emitted during beta-plus decay, which is a type of beta decay. Therefore, this label should be associated with the Beta Decay set. However, since positrons are not involved in gamma decay, the label should be in the part of the Beta Decay set that does not overlap with Gamma Decay. This is region Z.Label 3: No change in mass number- Both gamma decay and beta decay do not involve a change in the mass number. Therefore, this label should be in the intersection of the two sets, where both conditions apply. This is region Y.Based on the above explanations, the correct regions for each label are:Label 1: Photon - XLabel 2: Positron - ZLabel 3: No change in mass number - YTherefore, the best region for each label is:Label 1: XLabel 2: ZLabel 3: YThis matches the third option provided:Label 1: XLabel 2: ZLabel 3: YFinal Answer: Label 1: X, Label 2: Z, Label 3: Y

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