Answer:
um
Step-by-step explanation:
what problem is their to figure out
Answer :
here
13) 4
14) 3
15) 10
16) 8
17) 8
18) 2
19) 9
20) 9
Step-by-step explanation:
Hope this helps
The angle between the planes is the same as the angle between their normal vectors, which are
<em>n</em><em>₁</em> = ⟨1, 1, 1⟩
<em>n</em><em>₂</em> = ⟨4, 3, 1⟩
The angle <em>θ</em> between the vectors is such that
⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(<em>θ</em>)
Solve for cos(<em>θ</em>) :
4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(<em>θ</em>)
8 = √3 √26 cos(<em>θ</em>)
cos(<em>θ</em>) = 8/√78
9514 1404 393
Answer:
points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.
Step-by-step explanation:
The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.
Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...
-1.75, 2.50, -3.25, -3.50, 4.75
Answer:
The answer is below
Step-by-step explanation:
The equation of a linear function is given as:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of variable y.
A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:
T = 25h + B
B) Given that B = 5, h = 6, hence:
T = 25(6) + 5 = 150 + 5 = 155 bacteria
C) The equation of the graph is:
T = 25h + 5
The graph was plotted using geogebra online graphing.