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3 years ago

What is the total number of 17 year olds whos height is 74 inches or less

Mathematics

1 answer:

stira [4]3 years ago

6 0

Answer:

Step-by-step explanation:

there is 2 dots along the line of 17 before 74

hope this helps :)

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a boat row a boat using a long pole of length 5.30m.when he holds the pole vertically at a particula point in the water such tha

nlexa [21]

Answer:

0.2 × 5.3 = 1.06

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8 months ago

PLEASE HELPPPPPPPP ASAAAAP1!!!!!!!!

Radda [10]

As far as I can tell, that isn't a function at all.

x = 0 produces y = -2 and y = 4, which can't happen.

Please don't use all caps, that's really, really irritating.

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2 years ago

What number divided by 3 give me five

bearhunter [10]

It is 15 because 5 times 3 is 15

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2 years ago

Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

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3 years ago

Use trianglePQR to write the trigonometric ratio as a decimal. round to four decimal places.

astraxan [27]

I hope this answer helps, it’s kinda messy, but it’s still understandable (I guess)

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2 years ago