Answer:
solution is x=3
Step-by-step explanation:

apply log property
log a- log b= log a/b

we have log on both sides
so we remove the log and make the arguments equal

solve for x, multiply whole equation by 3

now plug in 3 for x and check

solution is x=3
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope of the line.
So the slope of the line using points (-3, 7) and (9,-1) is
<h3>

</h3>
Now we use the formula
<h3>y - y1 = m(x - x1)</h3>
where
m is the slope
( x1 , y1) is any of the points given
So the equation of the line using point
( - 3 , 7) and slope - 2/3 is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
C) (square root 2)/2
Step-by-step explanation:
In quadrant III, the sine of an angle is positive. The value will be ...
sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)
sin(Θ) = (√2)/2
For the first draw, the probability of an ace is ( 4 / 52 ).
Now there are only 51 cards left in the deck.
For the second draw, the probability of a king is ( 4 / 51 ).
The probability of both events is
(4/52) (4/41) = (16/2,652)
Divide top and bottom by 4:
(16/2,652) = <em>4/663</em> . That's <em>choice-C </em>.
Answer: V= 4500m^3
Explanation:
V= length x width x height
V = 600 x 3 x 2.5
V = 600 x 7.5
V = 4500