Answer:
-0.5 and negative one-half
-1/50 and -0.02
Step-by-step explanation:
-0.5 can be rewritten as -5/10. This can be simplified to -1/2 which is the same as negative one-half.
7/10 isn't equivalent to 11/20. If you multiply 7/10 by 2/2 to get the denominator of 20, it will become 14/20 not 11/20.
-1/50 in decimal form is -0.02 so -1/50 and -0.02 are equivalent.
0.15 and 1/5 aren't equivalent because 1/5 in decimal form is is 0.2, not 0.15.
Step-by-step explanation:
#34.
After a dilation of 2 (about the origin), all coordinates will be doubled.
Thus the image is 2 time the original matrix, or
-6 -4 -1
8 2 10
#37
a12 means the element on the first row, and the second element from the left.
The question does not indicate which matrix is named "a", but by elimination, we will assume it is the first matrix in the matrix equation.
Isolating the elements 12 (first row, second element) in the equation, we get
a12+5 = 1
which tells us that
a12=1-5 = -4
Answer:
±1, ±2, ±7, ±14
Step-by-step explanation:
Answer: the population after 9 years is 17175
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 24800
r = 4% = 4/100 = 0.04
t = 9 years
Therefore,
A = 24800(1 - 0.04)^9
A = 24800(0.96)^9
A = 17175