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:
23
Step-by-step explanation:
133 = 18 + 5x
155 = 5x
23 = x
Answer:
74°,74° and 106°
Step-by-step explanation:
180 -106=74°
The two opposite interior angles=74°each
The other one=106°
Answer:
<u>15%</u> percent of the bill was her tip.
Step-by-step explanation:
Given:
Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.
Now, to find the percent of the bill was her tip.
The bill was = $6.00.
The tip she gave = $0.90.
Now, to get the percent of the bill was her tip:
Therefore, 15% percent of the bill was her tip.
Answer: 
Step-by-step explanation:
Given
Angelo drew a model with his drawing length 10 inches tall
The actual pole length is 15 feet tall
drawing scale is the ratio of drawing length to the actual length i.e.
