<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)
Answer:
third option
Step-by-step explanation:
hope it helped
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Since the Venus orbits round the sun, the sun is the center of the circular path of the revolution of the planet, Venus.
Thus, the distance of the planet, Venus fron the sun is given by the distance between the points (0, 0) and (41, 53).
Recall that the distance between two points
and
is given by
Thus, the distance between the points (0, 0) and (41, 53) is given by:
Given that each unit of the plane represents 1 million miles, therefore, the distance from the sun to the Venus is 67 million miles.
Answer:
28 l of 80%
42 l of 30%
Step-by-step explanation:
Target is 70 l of 50% solution
It will contain 70*0.5= 35 l of alcohol
x l of 80% solution and y l of 30% solution mixed to get the target solution
x+y=70 is the equation for total volume, and
0.8x+0.3y= 35 is the equation for the alcohol content. Solving this:
- y= 70-x
- 0.8x+0.3*(70-x) = 35
- 0.8x+21- 0.3x= 35
- 0.5x= 35-21
- 0.5 x= 14
- x= 14/0.5
- x=28 l of 80% solution
then
- y= 70-x= 70 -28 l= 42 l of 30% solution
3x + 12 - 5x = 22
-2x + 12 = 22
-2x = 22-12
-2x = 10
x = -5
hope this helps
