Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
<h3>What is the volume of the sphere?</h3>
The volume of the sphere is the amount of space occupied within the sphere.
Volume of sphere is expressed as;
V = (4/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given that;
- Diameter of the sphere d = 18cm
- Radius r = d/2 = 18cm/2 = 9cm
- Constant pi π = 3.14
- Volume V = ?
V = (4/3)πr³
V = (4/3) × 3.14 × 9cm)³
V = (4/3) × 3.14 × 729cm³
V = 3052.1cm³
Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
Learn more about volume of hemisphere here: brainly.com/question/3362286
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Answer:
possibly 5?
Step-by-step explanation:
But can you plzzz help me with my latest question
Answer:
Gender, car
Step-by-step explanation:
Give the data above :
The categorical variables are : Gender and Car
The Gender are car variables represents non numeric variables written as strings and as such does not allow for numeric calculations such as addition, subtraction and so on, they are instead used to classify the observations in the data into discreet groups, the gender variable separates observations into Male and Female classes while, the car variable separates cars driven into distinct classes denoting the name of cars driven by each observation in the data. The other variables are of quantitative nature as they allow for numerical computation of the data values.
7/3 + 3/4
28/12 + 9/12+ 37/12= 3 1/12
FInal answer is 3 1/12