
Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24
The answer is 73.24 years.
Answer:
Step-by-step explanation:
<em>(1).</em>
x + y = 9 and y = - 7x <em>( Neither )</em> ; lines intersect.
<em>(2).</em> y = 3x - 3; 12x - 4y = 12 <em>( Neither ) </em>; Lines are overlapped or both equation are of the same line.
<em>(3).</em> 7y = 2x + 1; 14x + 4y = 12 <em>( Perpendicular )</em> ;
=
and
= -
, slopes are opposite reciprocals.
<em>(4).</em> x - 4y = 18; y = x + 4 <em>( Neither )</em> ; lines intersect.
<em>(5).</em> 3x - 4y = - 1; 3y = - 4x + 5 <em>( Perpendicular )</em> ;
=
and
= -
, slopes are opposite reciprocals.
Answer: A
Step-by-step explanation:
When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be
. If it were to be
, the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be
.
Use the slope formula below:

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

Answer
Hope this helps and let me know if you have any doubts! Good luck on your assignment!