Answer:
1. a) population of the town in 2024 = 8697
2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.
Step-by-step explanation:
1) the population of a town was,
in 2016.
a) Exponential growth model is given by
where t is the time in years after 2016.
Year 2016 is when t = 0.
k = growth rate constant = 1.6% = 0.016
i) therefore the population of the town in 2024
=
( to the nearest whole number)
2.) log (I
M
S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake
therefore I
M
S = 
therefore 
The graph of the function is line A
Answer:
(a) yes
(b) no; see below
Step-by-step explanation:
(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.
(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)
___
The quartic can be written as ...
k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers
The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have
kabcd = 3kabc = 6
kabc = 6/3 = 2
Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.
Answer:
<u>Shelter A</u>
Step-by-step explanation:
For Shelter A: the whiskers range from 8 to 30
so, the minimum weight of Shelter A is 8 pounds.
For For Shelter B: the whiskers range from 10 to 28
so, the minimum weight of Shelter B is 10 pounds.
<u> Which animal shelter has the dog that weighs the least? </u>
<u>The answer is: Shelter A</u>
Note: whiskers are plotted are from the minimum to Q1 and from Q2 to the max.
See the attached figure.
Answer:
1. z = 5, 2. w = 9
Step-by-step explanation:
1. 5z - 4 = 21
5z = 21 + 4
5z = 25
z = 25/5
z = 5
2. w/9 + 2 = 3
w/9 = 3 - 2
w/9 = 1
w = 1 x 9
w = 9
I hope this helps :)