Final answer:
The Dakota Smashed Pea and Barley Soup likely includes carrots, peas, and potatoes as its vegetable ingredients along with barley as a grain.
Step-by-step explanation:
The vegetables that are in the Dakota Smashed Pea and Barley Soup would likely include carrots, peas, and potatoes, based on a typical recipe for such a soup. Barley is a grain, not a vegetable, but is also a key ingredient of this soup. It's important to note that recipes can vary, so other vegetables such as celery, onions, or garlic might also be present to add flavor.