An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much-frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.
Answers
Answer:
Amount of water = 3077.2 mm^3.
Step-by-step explanation:
The radius = 1/2 diameter = 1/2 * 14 = 7.
The amount of ice in the cone = it's volume.
The volume of the cone = 1/3 3.14 r^2 h
= 1/3 * 3.14 * 7^2 * 60
= 3077.2 mm^3.
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Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)B) f(x) = x^3 – 6x^2 – 19x + 24C) f(x) = x^3 + 6x^2 – 19x – 24D) f(x) = (x – 8)(x – 1)(x + 3)
What is the graph line for this problem? x+3y=9
A pilot flew a jet from location A to B, a distance of 2500 meter,on the return trip the average speed was 20 percent faster than the outbound speed,the round-trip took 9 hours 10 minutes . What is the jet's speed from A to B.
Answers
Answer:
12
Step-by-step explanation:
72/6=12
48/4=12
Answers
Answer 1277
11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000=
2311127082764787149541343569687265818340524434216944985057951546329926602892117561196218406328381 * 5183+ 1277
Answers
The required function would be f(x) = 6x² which represents the set of ordered pairs.
What is a function?
The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that function as sets of ordered pairs :
(0,0), (1,6), (2,24), (3,54), (4,96)
First, we must identify a pattern. It appears that all yₓ values are multiples of 6.
We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:
y₁/ 6×1 = 1
y₂/ 6 ×2 = 2
y₃/ 6 ×3= 3
y₄/6×4 = 4
We can clearly see a pattern here ;
y/ 6×x = x
y = x × x × 6
y = 6x² = f(x)
Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.
Learn more about the functions here:
#SPJ5
f(x) = 6x²
Answers
Answer: 1,234.70
Step-by-step explanation:
The given amount of income = $12,347
To find : One tenth of an income of $12,347
To calculate one tenth of an income of $12,347, we need to divide $12,347 by 10 ,we get
On dividing a number by ten , we put decimal just before the first digit from the right.
Hence, One tenth of an income of $12,347 = 1,234.70
Answers
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
Answers
First, you can simplify the function finding the perfect square:
This form of function gives you the coordinates of parabola vertex - (-1,16).
From the diagram you can see that all values for x are possible, then the domain is (all real numbers). Also you can see that values of y decrease from y=16 to
, then the range is
(or {y|y ≤ 16}).
Answer: correct choice is B.
The vertex form of the function is:
f(x) = -(x+1)2 +16
This means that the graph is facing downwards with the vertex at (-1,16).
So, the range is {y|y ≤ 16}