Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that 
. If we plug the side lengths in for a and b, we get 
. This can be simplified to 
, or 
. If we root both sides, we find that c is equal to 
, which is slightly more than 7, at around 7.2.
Answer: B
how close their measurements are to each other
Step-by-step explanation:
The students in a science class did not know the length of the board before taking turns to measure the length of a certain board.
The characteristic of their measurements that best indicates
their accuracy will be how close their measurements are to each other.
If the actual length is known before the carry out the measurements, there average value will be neccessarily to determine their accuracy.
Therefore, option B is the best option.
Answer:
(a) 2996 units
(b) 1897 units
Step-by-step explanation:
p = 10,000(1 - 3/3 + e^-0.001x)
(a) p = $500
500 = 10,000(1 - 1 + e^-0.001x)
500/10,000 = e^-0.001x
e^-0.001x = 0.05
-0.001x = In 0.05 = -2.996
x = -2.996/-0.001 = 2996 units
(b) p = $1500
1500 = 10,000(1 - 3/3 + e^-0.001x)
1500/10,000 = (1 - 1 + e^-0.001x)
0.15 = e^-0.001x
-0.001x = In 0.15 = -1.897
x = -1.897/-0.001 = 1897 units
12 × 2 = 24
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