84 - 12 = 72, because the total age is 84, and we know that Michael is 12 years older than Lynn, making Lynn 72 years old.
Answer:
x = 15
y = 12
z = 20
Step-by-step explanation:
For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625
then z^2 = y^2 + 16^2 => y^2 = z^2 - 256
and x^2 = y^2 + 9^2 => y^2 = x^2 - 81
so z^2 - 256 = x^2 - 81
z^2 = x^2 + 175
replace z^2 = x^2 + 175 into the first equation
x^2 + (x^2 + 175) = 625
2x^2 = 450
x^2 = 225
x = 15
If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20
y^2 = z^2 - 256 => y^2 = 400 - 256 = 144
then y = 12
Answer:
<em>The correct answer choice is: B</em>
Step-by-step explanation:
<u>Culture A</u>
Initial number of cells = 1000
The number of cells is raised by 200 each day and every day thereafter.
So, the number of cells raised in one month(30 days) 
Thus, the total number of cells in culture A at the end of one month will be: 
<u>Culture B</u>
Initial number of cells = 1000
The number of cells is increased by 8% each day and every day thereafter.
<em>Formula for exponential growth is:</em> 
, where 
Initial amount, 
Final amount, 
Rate of growth in decimal form and 
Time duration.
Using the above formula, the number of cells after 30 days will be.....
That means, Culture B is more effective in promoting cell growth.
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
$30
Step-by-step explanation:
6 • 1/3 = 18
18 • 1/2 = 36
36 - 6 = 30
