Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
<span>1/2 / -2/5 + (-1/4)
= 1/2 * (-5/2) - 1/4
= -5/4 - 1/4
= -6/4
= -3/2
hope it helps</span>
Answer:
z ≤ 8
Step-by-step explanation:
-9z ≥ -72
Isolate the variable, z. Treat the ≥ as a equal sign, what you do to one side, you do to the other. Divide -9 from both sides. Note that when you divide a negative number, you will flip the sign:
(-9z)/-9 ≥ (-72)/-9
z ≤ (-72)/(-9)
z ≤ 8
z ≤ 8 is your answer.
~
The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.
<h3>What is a number line?</h3>
A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
Next, we would solve the given inequality as follows:
−0.4b + 2.4 < 5.6
Subtracting 2.4 from both sides, we have:
−0.4b + 2.4 - 2.4 < 5.6 - 2.4
−0.4b < 5.6 - 2.4
−0.4b < 3.2
Dividing both sides by -0.4, we have:
b < -3.2/0.4
b < -8
In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.
Read more on inequality here: brainly.com/question/3061666
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Answer:
option: D.
Step-by-step explanation:
"The rate of change of two ordered pair is nothing but the slope of a line segment joining ordered pair (x,y)".
if a function is linear then it is represented as y=f(x)=ax+b
i.e. it is a line segment.
so the slope must be same if we consider any ordered pair.
Hence option D is correct i.e. She can check to see if the rate of change between the first two ordered pairs is same as the rate of change between the first and last ordered pairs.
