K = ln(ending amt/bgng amount)/6 years
k = ln(99,000,000/94,000,000) / 6 years
k = ln(
<span>
<span>
<span>
1.0531914894
</span>
</span>
</span>
) / 6 years
k =
<span>
<span>
<span>
0.0518250679
</span>
</span>
</span>
/ 6
k =
<span>
<span>
<span>
0.0086375113</span></span></span>
Final population = bgng*e^k*years
Where "e" is the mathematical constant 2.718281828
Final population = 94,000,000*e^<span>0.0086375113*12</span>
Final population = 94,000,000*e^<span><span><span>0.1036501356
</span>
</span>
</span>
Final population = 94,000,000*
<span>
<span>
<span>
1.1092123132
</span>
</span>
</span>
<span><span>
</span>
</span>
Final population =
<span>
<span>
<span>
104,265,957
</span>
</span>
</span>
<span>Simplifying
25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
Combine like terms: 25 + 120 = 145
145 + -10x = 5(2x + -7)
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
Solving
145 + -10x = -35 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
Combine like terms: -10x + -10x = -20x
145 + -20x = -35 + 10x + -10x
Combine like terms: 10x + -10x = 0
145 + -20x = -35 + 0
145 + -20x = -35
Add '-145' to each side of the equation.
145 + -145 + -20x = -35 + -145
Combine like terms: 145 + -145 = 0
0 + -20x = -35 + -145
-20x = -35 + -145
Combine like terms: -35 + -145 = -180
-20x = -180
Divide each side by '-20'.
x = 9
Simplifying
x = 9.
Hope this helps you ! =')</span>
Total games= 20+8+14
=42 games
Fraction of tied games= 8/42
reduce the fraction so that it's 4/21
The ratio would be 4:21
Perimeter: all the sides added together, so that would be 1/2+1/2+3/4+3/4, which is 2 and a half feet
Area: the two side lengths multiplied, so 1/2*3/4, which is 3/8 feet squared
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.
Point A' has been rotated 90° CCW about point B.
