Step-by-step explanation:
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Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:
f(x) = 488
Step-by-step explanation:
first you plug in 82 in for x then you multiply by 6 times 82 and you get 492 then you subtract 4 and you get 488
Answer:
x=25°
Step-by-step explanation:
<u>Sum of angles of a triangle equals 180°</u>
- x + 10° + 2x + 15° + 3x + 5° = 180°
- 6x + 30° = 180°
- 6x = 180° - 30°
- 6x = 150°
- x = 150°/6
- x = 25°
1/9 is equal to 0.11, and 2/9 is equal to 0.22. You can see the pattern here, if you look at the numerator of the fraction and the decimal.
It's simple how many cups are in a pint.....4 if I remember correctly...its been awhile.....so you have 16 cups total so you divide that by the price....so it should be $1.024375 rounded to the nearest cent which is $1.02.......hope that helps
