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
The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value
The GCF of 92 and 100 is 4.
Answer:
B
Step-by-step explanation:
Well since it is arthimetic sequence we know the formula
We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7
the domain of this is 1,2,3,4.......
range is -12,-5,2,9.......
Therefore answer is B.
Answer:
41.86 miles each hour
Step-by-step explanation:
Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did they drive each hour?
This Question is calculated as:
7 hours = 293 miles
1 hour = x miles
Cross Multiply
7 hours × x = 1 × 293 miles
x = 293 miles/7 hours
x = 41.857142857 miles per hour
x ≈ 41.86 miles per hour
Hence, they drove 41.86 miles each hour
