Answer:
There are 9 ounces of peanuts
Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
<h3>
Answer: C) nonmetal</h3>
This element has 8 protons, so element is oxygen. I recommend looking at the periodic table of elements. At standard temperature and pressure (STP), oxygen is a gas, so that puts it in the nonmetal category.
Side note: Metalloids are a collection of elements where they share properties of metals and nonmetals (in a way they're on the fence).
Answer:
Since the Y coordinate is constantly 9, it is a horizontal line.
Step-by-step explanation:
Answer:
PARALLEL
Step-by-step explanation:
The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.
We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.
