If the coordinate of A (-2.5, 0) and B (2.5, 0). Then the distance between bird A and bird B will be 5 units.
<h3>What is the distance between two points ( p,q) and (x,y)?</h3>
The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D² = (x-p)² + (y-q)²
The number line shows the distance in meters of two birds, A and B, from a worm located at point X:
A horizontal number line extends from negative 3 to positive 3.
The point labeled as A is at negative 2.5, the point 0 is labeled as X, and the point labeled B is at 2.5.
Then the coordinate of A (-2.5, 0) and B (2.5, 0).
Then the distance will be
D² = (2.5 + 2.5)² + (0 - 0)²
D² = 5²
D = 5 units
Learn more about the distance between two points here:
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62
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The graph which is the best interpretation of the table given is; On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. Points are at (1, 2), (2, 3.5), (3, 5), (4, 6.5), (5, 8), (6, 9).
<h3>Which graph is the best interpretation of the table?</h3>
The table given in the task content is a tabular representation of the quantity and the corresponding prices. On this note, plotting the quantity on the x-axis and the price on the y-intercept with the point descriptions above best represents the graph of the table.
Read more on graph interpretation;
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We assume the annual percentage increase is the same. We will work out the constant k using the formula
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula
![76=72e^{6k}](https://tex.z-dn.net/?f=76%3D72e%5E%7B6k%7D%20)
![\frac{76}{72}=e^{8k}](https://tex.z-dn.net/?f=%20%5Cfrac%7B76%7D%7B72%7D%3De%5E%7B8k%7D%20)
Take log both sides give
![ln( \frac{76}{72})=ln(e^{6k})](https://tex.z-dn.net/?f=ln%28%20%5Cfrac%7B76%7D%7B72%7D%29%3Dln%28e%5E%7B6k%7D%29%20)
![0.05406722127=6k](https://tex.z-dn.net/?f=0.05406722127%3D6k)
![k=0.009](https://tex.z-dn.net/?f=k%3D0.009)
We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)
![P=72e^{0.009*10}](https://tex.z-dn.net/?f=P%3D72e%5E%7B0.009%2A10%7D%20)
![P=78.78](https://tex.z-dn.net/?f=P%3D78.78)
≈79 million
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10