Answer:
17 inches
Step-by-step explanation:
The original square had sides of 4.5 (18/4)
To get a perimeter of 10, we know that two sides would already equal 9 (4.5+4.5). That means we only have 1 inch for the other two sides, so they are each 1/2 inch.
That leaves the second rectangle with a length and width of 4.5 and 4.
2(4.5) + 2(4) =
9+8=
17
Answer:
If the question is 
then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65
Differentiate the given solution:
Substitute 
and 
into the ODE:
and it's easy to see the left side indeed reduces to 0.
Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y <u>(Addition Property of Equality)</u>
1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>
<u />
y-y1=m(x-x1) <u>(point-slope formula)</u>
y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)
<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)
5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by 
, or 
. 3 million times is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.
