To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.
She runs 160 meters in one minute.
We want to know how many meters she can run in 9 minutes.
160 * 9 = 1,440
She can run 1,440 meters in 9 minutes.
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
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Answer: There are 30 participants are needed for the entire study.
Step-by-step explanation:
Since we have given that
Number of levels of factor A = 2
Number of levels of factor B = 3
Number of participants in each treatment condition = 5
So, the number of participants are needed for the entire study is given by
Hence, there are 30 participants are needed for the entire study.
A ( - 4, 2)
Reflected over x = 3.
x = 3 is a vertical line, the point (-4, 2) is 7 units on the left side of the vertical line. When you reflect across the line to the right side we need to be 7 units away from the vertical line on the right side. 3 + 7 = 10
The x value would be 10. (10, 2)
LETTER D
Answer:
B. 66
Step-by-step explanation:
Substitute x = 3
Multiply in the parentheses
(6 + 192) Add
(198) Multiply
66
