6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures =
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353
Answer
Length: 12 feet Width:4
Explanation
To get the area of a rectangle you times the length by the width
It says the length of the wall is 4 feet longer than TWICE it’s width since 12 times 4 is 48 and 12 is twice the amount of 4 plus 4 feet it fits the requirements of this question
Answer:
The rangers
Step-by-step explanation:
Their number of wins didn't go up. In fact their wins decreased the most.
Since the divisor is 2 digits, start by looking at the first 2 digits of the dividend. Those are 44, so you're dividing 44 by 15 at the first step. The quotient digit is the largest integer that gives a value less than or equal to the dividend (44) when multiplied by the divisor (15). For the first step, that digit is 2.
To find the new divisor, subtract the product of the divisor and the quotient digit (2·15=30) and bring down the next digit of the original dividend. Now, you have a dividend of 147 and a divisor of 15. Repeat the process as above.
The decimal point location in the answer can be found a number of ways. The simpliest is to put it above the decimal point in the dividend. (When the divisor is not an integer, multiply or divide both divisor and dividend by the same power of 10 until it is.)