Answer:
C. H(x) = 2x+6
Step-by-step explanation:
Volume of the cylindrical silo = Area of its circular base × Height
Volume of the cylindrical silo = πr²×H
If the area of the circular base of the silo is given by the function A(x), the volume is given by C(x) and the height is given by H(x), the formula can be expressed as;
C(x) = A(x) × H(x)
The height of the cylindrical silo will be;
H(x) = C(x)/A(x)
Given C(x) = 6.28x³ + 18.84x² and
A(x) = 3.14x²
H(x) = 6.28x³ + 18.84x²/3.14x²
H(x) = x²(6.28x+18.84)/3.14x²
H(x) = (6.28x+18.84)/3.14
H(x) = 3.14(2x+6)/3.14
H(x) = 2x+6
Hence, the function, H(x) that represents the height of the silo is 2x+6.
Answer: Cluster Sampling
Step-by-step explanation: I just took this test and got it correct :)
The answer is 63.53 subtracts 5.23 from 68.76
Answer:
True, all integers are rational numbers.
Step-by-step explanation:
Because each integer can be written as n/1 and integers can be positive and negative. For example, 3= 3/1 , 3 is the rational number. But all rational numbers like 1/2 =0.5 are not an integer. (fractions, decimals are not integers.)
Answer:
f(x) = 17x +17
136 in
Step-by-step explanation:
Changing the number of boxes by 1 changes the stack height by 17 inches, so the arithmetic sequence can be written as
... f(x) = x₁ +d(x -1)
The first term is shown to be 34, so the function is
... f(x) = 34 +17(x -1)
This can be simplified to ...
... f(x) = 17x +17
_____
From 1 box to 4 boxes (addition of 3 boxes), the height changed from 34 in to 85 in (addition of 51 in).
Adding 3 more boxes to make 7 boxes in the stack should add 51 more inches:
... 85 in + 51 in = 136 in
___
The problem statement tells you to use the above function to solve the problem, so ... (put 7 where x is, then do the arithmetic)
... f(7) = 17·7 +17 = 119 +17 = 136 . . . inches
