<span> (3x</span>² <span>+ 8) - (2x</span>² <span>+ 1)
= </span>3x² + 8 - 2x² - 1
= 3x² - 2x² + 8 - 1
= x² + 7
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!
Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Answer:
2cm of Rainfall
Step-by-step explanation:
When the no. of mosquitoes is the highest the slope of graph will be zero
so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.
m(x)= -x²+4x
differentiate
d(x)/d(m(x))= -2x+4
equate to zero
-2x+4=0
2x=4
x=2
answer: 2 cm of rain
