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3 years ago

What is nine tenths in standard form? I know it's simple but I forgot.

Mathematics

1 answer:

Fiesta28 [93]3 years ago

5 0

That would be 0.9 because 9 is in the tenths place

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

Find tan if sin theta= 1/4 and falls in Quadrant 2.

7nadin3 [17]

If sinα=1/4 and it is in q2 it means that the x coordinate is negative.

The triangle has a height of one and a hypotenuse of 4 so:

x=-√(4^2-1)

x=-√15

so tanα=-1/√15

tanα=-√(1/15)

tanα≈ -0.258

6 0

3 years ago

Read 2 more answers

Complete function tables part 2 please help i will mark as brainlyst

Vlad1618 [11]

1 = 1/2(0) + 1

2 = 1/2(2) + 1

3 = 1/2(4) + 1

4 = 1/2(6) + 1

hope this helps!

6 0

3 years ago

How do I solve the linear equation of 27=6(x)+4(y) over 20=2(x)+5(y)

larisa86 [58]

27 = 6x + 4y = 1 7/20 = 3 4/5
20 = 2x + 5y

8 0

3 years ago

PLEASE HELP ALGEBRA 2

svet-max [94.6K]

1) I use an interest program on my calculator. You could also use the equation listed in the math textbook. Principle=2500 Rate=0.025 Years=3 No.compounds/yr=4 Answer is $2,694.08

2) All positives

3) Square root of 343

4) Square root of 48

I hope that helps. :)

4 0

4 years ago