Answer:
There are seven positions to be filled to form 7 letter words using the letters in the word PROBLEM.
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(-5,6) (-5,-6) (4,-6)
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Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
Company fixed cost = $10 million = $10,000,000
Variable cost per pair = $5
Company charges each pair = $15
Hence the company makes $10 profit per pair
regardless the company fixed cost and only considering the variable cost.
Let subtract the variable cost per pair from the
company charging each pair = 15 - 5 = $10
Thus the company now makes $10 per pair, and it has
to sell 1,000,000 pairs of gloves to reach the break-even point. The break-even
point refers to the point where total cost and revenue are equal.
<span>Thus for 1,000,000 pairs, the company total earning =
10 x 1,000,000 = $10,000,000 = $10 million </span>
The mean or average speed of a mobile moving north is: <u>Vprom= 20.575 m/sec</u>
The average speed of a series of given speed values is calculated by <u>summing</u> each of the <u>speeds</u> and then <u>dividing</u> by the number of speeds , as follows:
Speeds:
V1=18.5m/s
V2=22m/s
V3=20.3m/s
V4=21.5m/s
V avg =?
Average V = ( V1+V2+V3 +V4)/4
Vavg = (18.5m/s + 22m/s +20.3m/s + 21.5m/s)/4
Vavg = 20.575nm/sec
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