V ⋅ w = <2, -8, -8> ⋅ <-2, 6, -5> = 2(-2) + -8(6) + -8(-5) = -4 + -48 + 40 = -12
<span>v ⋅ w = -12</span>
Answer:
The maximum number of wren that could nest in the area based on the number of cholla cacti is:
Step-by-step explanation:
The information provided by the text mentions that each cholla cactus can house a nest in which two adults and a maximum of five young will live (seven in total per nest), so this information can be represented as follows:
- Maximum number of wrens = number of cholla cactus * 7
Since six cholla cacti are counted in the area, this value is replaced in the created equation:
- Maximum number of wrens = 6 * 7
- <u>Maximum number of wrens = 42
</u>
The area could house <u>a maximum of 42 wrens, where 12 would be adults and 30 would be young at most</u>.
Number of students on a sports team
The length of the side would be sqrt(77) = 8.7749.....
This can be classified as two answers:
A and D
This is a real number
It is also an irrational number because it can’t we written as a simple fraction.
In this item, we are given that the rays are opposite. We consider each of the choices and justify why each is true or false in order to answer this item.
1. A, B, C are collinear
For points, collinear means they lie on the same line. For rays to be opposite, they should be in the same line making a 180° or a straight line with each other. Hence, this statement is TRUE.
2. A, B, C are coplanar
Coplanar means the points lie in the same plane. For these rays to be opposite and collinear as justified in 1, the points should lie in the same plane. This is TRUE.
3. AB = AC
This is not entirely true. The ray is a geometric figure with one enpoint and the other end extends infinitely. Therefore, there is no definite measure of the rays. Hence, this is FALSE.
4. A is in betweeen B and C
In the names of the rays, it is known that A appears for both AB and AC. This means that point A is shared and must be between points B and C. This statement is TRUE.
Therefore, the only false statement is number 3.
