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Lubov Fominskaja [6]
3 years ago
8

PLEASE ANSWER + BRAINLIEST!! Factor completely. 4k - 20k^9 = 3b^2 - 108 =

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)

3b^2-108=3(b^2-36)=3(b^2-6^2)=3(b-6)(b+6)

Used:\ (a-b)(a+b)=a^2-b^2
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irinina [24]
Since that is a triangle the expression would be b x h  / 2. So 12*12 = 144 / 2 = 72. The answer is 72. 
8 0
3 years ago
Isotope mass (amu) abundance (%) 1 203.97304 1.390 2 205.97447 24.11 3 206.97590 22.09 4 207.97665 52.41 find the atomic mass of
Nata [24]
Answer:
average atomic mass = 207.2172085 amu

Explanation:
To get the average atomic mass of an element using the abundance of its isotopes, all you have to do is multiply each isotope by its percentage of abundance and then sum up all the products.

For the question, we have:
203.97304 amu has an abundance of <span>1.390% (0.0139)
</span>205.97447 amu has an abundance of 24.11% (0.2411)
206.97590 amu has an abundance of 22.09% (0.2209)
207.97665 amu has an abundance of 52.41 % (0.5241)

The average atomic mass can be calculated as follows:
average atomic mass = 203.97304(0.0139) + 205.97447(0.2411)
                                     + 206.97590(0.2209) + 207.97665(0.5241)
average atomic mass = 207.2172085 amu

Hope this helps :)
7 0
3 years ago
Please choose the answer that describes the scientific notation for 5,098,000.. A. 5.098 × 75777. B. 5.098 × 108. C. 5.098 × 107
Sidana [21]
Standard form:
5,098,000

Scientific notation. 
1) only 1 digit should be before the decimal point.
5.098000

2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.

5.098 x 10^6  Choice D.

Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit. 
5 0
3 years ago
Read 2 more answers
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vampirchik [111]

Answer:

11.02-9.91= 1.11

Step-by-step explanation:

|-11.02| - |-9.91|  (First solve in absolute)

11.02 - 9.91        (any values outside absolute becomes positive)

1.11=Ans

6 0
3 years ago
$550.00 is what percent of $1580.00 ?
vodka [1.7K]

The answer is 35%. You just take 550.00/1580.00=0.34810127 then you turn that into percent (round up the 4 to a 5 since the next number is 8). And you get 35%

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3 years ago
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