Answer:
(b) 80/3π in³
Step-by-step explanation:
The volume of a circular cone is given by ...
V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height
Your cone has r = 4 inches and h = 5 inches, so its volume is ...
V = (1/3)π(4 in)²(5 in) = 80/3π in³
The volume of the cone is exactly (80/3)π cubic inches.
Answer:
B. y = 2x - 9
Step-by-step explanation:
All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.
You can tell by plugging the point into the equation and seeing if the result is true.
y = 2x - 9
-1 = 2(4) - 9
-1 = 8 - 9
-1 = -1
Answer:
Pattern B
<h3>
Explain: </h3>
A quadratic relationship is characterized by constant second differences.
<em><u>Pattern A
</u></em>
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
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<em><u>Pattern B</u></em>
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
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<em><u>Pattern C</u></em>
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
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Pattern B shows a geometric relationship between step number and dot count.
