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2 years ago

Simplify.

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

5 0

Answer:

3x^2y

Step-by-step explanation:

Find the cubic root of each term

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

Neporo4naja [7]

$4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)$

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

$Used:\ (a-b)(a+b)=a^2-b^2$

7 0

2 years ago

You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

snow_lady [41]

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures $4ft*8ft=32ft^{2}$ .

We have to cover the surface of the house, minus the surface of the hole of the stairs.

$Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}$

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

$Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets$

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

8 0

2 years ago

Anyone know the mean.median.and mode of 7,5,0,2,6,4,2

kenny6666 [7]

First put in ascending order.
0, 2, 2, 4, 5, 6, 7
The median is the middle number: 4
The mode is the number that repeats the most often: 2
The mean is the average. Add the numbers and divide by 7.
26/7 = 3.71

7 0

3 years ago

Read 2 more answers

36% of what number is 18? SHOW YOUR WORK

Murljashka [212]

So 36% of x is 18
percent is parts out of 100
36%=36/100=0.36
'of' can be translated as muitiply
0.36 times x=18
divide both sdies by .36
x=50
the number is 50

8 0

3 years ago

Read 2 more answers

Ify: 8% -2, which of the following sets represents possible inputs and outputs of

tangare [24]

Answer:

Step-by-step explanation:

7 0

2 years ago