First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6
2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2
The ending balance after these transactions is $ 59.25.
To find the ending balance after the transactions listed, the following calculation must be performed:
- $ 822.67
- + $ 227.45
- - $ 600.00
- + $ 50
- - $ 100
- - $ 200
- - $ 3.50
- - $ 2.50
- - $ 134.87
- 822.67 + (227.45 + 50) - (600 + 100 + 200 + 3.50 + 2.50 + 134.87) = X
- 822.67 + 277.45 - 1040.87 = X
- 1,100.12 - 1,040.87 = X
- 59.25 = X
Therefore, the ending balance after these transactions is $ 59.25.
Learn more about maths in brainly.com/question/16376325
12k is your answer
Brainliest would be nice
Answer:
A. <u>Volume = 4,523.9 mm³ (cubic mm)</u>
B. <u>Surface area = 1,658.76 mm² (square mm)</u>
Step-by-step explanation:
A. Lest's calculate the volume of the cylinder:
r = 12 mm, h = 10 mm
Volume = π * r² * h
Volume = 3.1416 * 12² * 10
Volume = 3.1416 * 144 * 10
<u>Volume = 4,523.9 mm³</u>
B. Let's calculate the surface area of the cylinder:
Surface area = 2π * r * h +2π * r²
Surface area =2π * 12 * 10 + 2π * 12²
Surface area = 6.2832 * 120 + 6.2832 * 144
<u>Surface area = 753.98 + 904.78 = 1,658.76 mm²</u>
