Answer:
= a⁸/b⁻¹⁰
Step-by-step explanation:
Simplify the expression
(a^2b^-3/a^-2b^2)^2
= a⁴b⁻⁶/a⁻⁴b⁴
Using the law of indices
= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴
= a⁴⁺⁴/b⁻¹⁰
= a⁸/b⁻¹⁰
Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.
Acrobat Ant
Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
Answer:
2t - 5 = -10
Step-by-step explanation:
add 5 to each side which leaves you with
2t=-5
then mulitply 5 and two and get t=10
You would write your 2 ordered pairs based on the year and the amount of yogurt sold in that year.
The x-value (your first number in the ordered pair) the year and the y-value (the 2nd number in the ordered pair) the amount of yogurt.
(2002, 2133) and (2007, 3478) would be your 2 ordered pairs.
