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3 years ago

How do you write in numbers, three hundred twenty three thousand

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

6 0

323,000 is how you would write that

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(+5)+(-2)+(+20) solve

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Step-by-step explanation:

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3 years ago

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a ladder is 25ft long the ladder needs to reach to a window that is 24ft above the ground how far away from the building should

Wewaii [24]

By the Pythagorean Theorem:

24^2+d^2=25^2

576+d^2=625

d^2=49

d=√49

d=7 ft

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3 years ago

I) Find the first 4 terms in the expansion of

Katyanochek1 [597]

Answer:

(i) $64+192 x^2+240 x^4+160x^6$

(ii) 1072

Step-by-step explanation:

Part (i)

Using Binomial series formula:

$(2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3$

$=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6$

$=64+192 x^2+240 x^4+160x^6$

Part (ii)

$(1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})$

$=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}$

$(2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)$

$=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...$

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

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3 years ago

1. A triangle is rotated 35° about the origin. What is true about the relationship be pre-image?

jasenka [17]

Answer:

the triangles are equivalent

Step-by-step explanation:

that's it

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3 years ago

On a quiz there are four-mulptiple choice questions worth 3 points each and two true/false questions worth 1 point

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