We have the following expression:
sqrt 8 / x ^ 6
Rewriting we have:
sqrt (8 / x ^ 6)
sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
(2 / (x * x * x)) sqrt (2)
(2 / x ^ 3) * sqrt (2)
Answer:
An equivalent expression is given by:
(2 / x ^ 3) * sqrt (2)
Answer:
5
Step-by-step explanation:
<h3><u>Question</u></h3>
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
<h3><u>Answer:</u></h3>
Charlie saved $ 28
<h3><u>Solution:</u></h3>
Given that amount of money that Charlie saves each week is directly proportional to the amount he earns
Let y represent of saved money and x represent amount of earned money
Therefore,


y = kx --- eqn 1
Where "k" is the constant of proportionality
<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>
y = 32 and x = 512
Substituting in eqn 1, we get

To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1
y = 0.0625(448) = 28
Thus charlie saved $ 28
Answer:
38.2 %
Step-by-step explanation:
120/100 = 1.2 (average time)
(1.2 - 1.5)/1 = -.3
z table value for "-.3" is .3821
Answer:
1) 35
Step-by-step explanation:
1. First, you have to realize that a straight line is 180 degrees.
Why is this important to know? Well you know that all angles of a triangle added up together HAS to equal 180, it'll be a straight line
2. Add 40 and 105, this gives you 145.
3. Subtract 145 from 180, and you should get 35, which is x.
You can check this by adding 40, 105, and 35 together.