Answer:
Step-by-step explanation:
Let the missing angle be x then .,
81 + 62 + x = 180 (being sum of angles of triangle )
143 + x = 180
x = 180 - 143
x = 37
<em>Therefore the missing angle is 37</em>
9514 1404 393
Answer:
x ≈ 0.7798
Step-by-step explanation:
For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.
e^(8x) = 512
8x = ln(512) . . . . . take the natural log
x = ln(512)/8 ≈ 0.7798
Answer:
The slope of the line is
and the equation of the line is
.
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of
there is one and only change in
, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
(1)
Where:
- Initial and final x-coordinates of the line.
- Initial and final y-coordinates of the line.
If we know that
and
, then the slope of the line is:


From graph we conclude that x-intercept of the line is
. Hence, the equation of the line is
and we proceed to plot the expression with the help of a graphing tool.
So if the total is $8.75, and 1 torch costs $7.66, and you bought 1 torch and two batteries, you would have to subtract 8.75 - 7.66 which is 1.09, and then divide that in half to get the price per battery.
Final answer = 1 Battery = $0.54