3 years ago

Rewrite as difference of squares (2x+5)(2x-5)

Mathematics

1 answer:

andre [41]3 years ago

4 0

4x^2-25

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Mitchell poured the contents of a completely filled cone into an empty cylinder, and the cylinder became two-thirds full. The cy

iogann1982 [59]

Answer: B. h = 7.5 cm ; r = 10 cm
Given:
Cylinder
Cone

Volume of Cylinder = π r² h
= 3.14 * (5cm)² * 15cm
= 3.14 * 25cm² * 15cm
= 1,177.50 cm³

Volume of the cone = 1,177.50 cm³ * 2/3
= 2355 cm³ ÷ 3
= 785 cm³

Volume of the cone = π r² h/3

a) 3.14 * 15² * 5/3 = 1177.50 cm³
b) 3.14 * 10² * 7.5/3 = 785 cm³
c) 3.14 * 7.5² * 10/3 = 588.75 cm³
d) 3.14 * 5² * 15/3 = 392.50 cm³

8 0

4 years ago

8 ^ x * 16 ^ x - 1 equals 1

Lana71 [14]

Answer:

${8}^{x} \times {16}^{x } - 1 = 1 \\ {2}^{3x} \times {2}^{4x} = 1 + 1 \\ {2}^{7x} = {2}^{1} \\ 7x = 1 \\ x = \frac{1}{7}$