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3 years ago

( I WILL BE GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME!! :D)

Mathematics

2 answers:

KatRina [158]3 years ago

3 0

Answer:

B I think

Step-by-step explanation:

Eight eighths in one cup. Took that and multiplied that and added the single eighth. Six sixths in one cup. Took that and multiplied that and added the single sixth again. Added the total up and got 10.2916666667. Rounded. Hope this helps!

N76 [4]3 years ago

3 0

Answer:

Step-by-step explanation:

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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

6 0

3 years ago

The perimeter of a rectangle is 80 feet. Find the dimensions if the length 5 feet longer than four times the width. Then find th

nydimaria [60]

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

Solution in Picture is attached

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3 years ago

Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes wou

Sedbober [7]

Answer:

60 mins

Step-by-step explanation:

15+45=60

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3 years ago

a bag contains 1 red beads 2 yellow beads 2 green beads and 1 blue bead a bean is choose and at random what is the probability t

Kisachek [45]

Answer:

Step-by-step explanation:

Add all the beads together to get your total amount of beads (This will be your denominator)

1+2+2+1=6 beads in total

You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)

$\frac{Numerator}{Demonator}=\frac{green beads}{Total amount of beads}$

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Solve 4x-3y=-1 and 2x+3y=13 using the elimination method

patriot [66]

Answer:

Step-by-step explanation:

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3 years ago

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