Answer:
100 beetles are present in per hectare if they are uniformly distributed.
Explanation:
If the population is uniformly distributed, so the population of beetles i. e. 11500 is divided by 115 gives the result of 100 beetles per hectare. If the environment is suitable for the growth of beetles, the carrying capacity of beetle population is about on million per hectare. They grow very fast if there is plenty of water and food is available for beetles but their population decreases when drought occurs in the area.
Answer: Correct options B, D and E.
Explanation:
In the cladogram, we can see that in the first branch we have a division, one branch goes to fish and the other goes to a division (a division means a common ancestor)
Then the fish are the most primitive (being directly related to the first ancestor)., E is true.
We also can see that between fish and birds we have 3 separations (the ancestor in common is 3 "generations" behind), and between frog and birds we have two separations (the common ancestor is 2 "generations" behind), so frogs are more closely related to birds than fish.
So D is also true.
We also can see that the only pair that has only one ancestor in common are birds and reptiles, so the ones that are most closely related are birds and reptiles. B is also true,
Complete Question:
The container of a breakfast cereal usually lists the number of calories and the amounts of protein, carbohydrate, and fat contained in one serving of the cereal. The amounts for two common cereals are given below. Suppose a mixture of these two cereals is to be prepared that contains exactly 295 calories, 9 g of protein, 48 g of carbohydrate, and 8 g of fat. a. Set up a vector equation for this problem. Include a statement of what the variables in your equation represent. b. Write an equivalent matrix equation, and then determine if the desired mixture of the two cereals can be prepared.
Nutrient General mills cheerios Quaker 100% Natural cereal
Calories 110 130
Protein (g) 4 3
Carbohydrate (g) 20 18
Fat (g) 2 5
Solution:
Representation of data in equation.
x1 is the number of servings of Cheerios and
x2 is the number of servings of Natural Cereal
110
+ 130
= 295
4 + 3 = 9
20 + 18 = 48
2 + 5 = 8
Representation of data in vector equation,
![\left[\begin{array}{ccc}110\\4\\20\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D110%5C%5C4%5C%5C20%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}130\\3\\18\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D130%5C%5C3%5C%5C18%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D295%5C%5C9%5C%5C48%5C%5C8%5Cend%7Barray%7D%5Cright%5D)
Equivalent matrix equation of data
![\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D110%26130%26295%5C%5C4%263%269%5C%5C20%2618%2648%5C%5C2%265%268%5Cend%7Barray%7D%5Cright%5D)
Row reduce the matrix
≅ ![\left[\begin{array}{ccc}1&0&1.5\\0&1&1\\0&0&0\\0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261.5%5C%5C0%261%261%5C%5C0%260%260%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D)
1.5 serving of cherrios with 1 serving of natural cereal requried to make desired mixture.
= 1.5 , = 1
a) + =
b) = 1.5 , = 1
The function is mixing and propulsion
Vary in the number of neutrons but Sama in the number if protons are called isotopes
