<span>the x is supposed to represent the amount of miles driven in that car and the numbers in the paranthesis are supposed to be the price of the car or rental cost</span>
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
Answer: (0,-15)
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Explanation:
Add up the x coordinates to get 1+(-1) = 0. Divide this sum in half to get 0/2 = 0. Therefore the x coordinate of the midpoint is 0.
Repeat for the y coordinates. First add the y coordinates to get -7+(-23) = -30. Then divide that result in half to get -30/2 = -15. So the y coordinate of the midpoint is -15.
Overall, the midpoint is (0,-15).
The -4 would be your y-intercept and the 2x would be your slope. So you would put a mark on the-4 on the y axis and go up 2 and to the right 1 to plot your line. The second one would put your starting dot on the (0,0) and go up 2 and to the right 1 to get your line. Because you would look at the 2x as 2/1x.
Hope i could help