Answer:
Step-by-step explanation:7c
Answer:
4/3
Step-by-step explanation:
The slope formula is y2-y1/x2-x1
take the y from one of the points and subtract the y from the other point, the divide that by the x of the first y you picked and subtract the x of the second y
(-16)-(-8)/(-15)-(-9)
-8/-6
simplify
4/3
the slope is 4/3
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Step-by-step explanation:
Each term is double the previous term. The recursive formula is:
aₙ₊₁ = 2 aₙ
The first term is 9, so the explicit formula is:
aₙ = 9 (2)ⁿ⁻¹
From looking, I say A is because it's a multiple of 3:4:5. There are many sites that list all triples.
