The shape of the graph created by these data points indicates it correlates best with a quadratic function.
Answer:
1. 8.4 2. 15
Step-by-step explanation:
1. 4x + 8y = 40
when y = 0.8
4x + 8 × 0.8 = 40
4x = 40 - 8 × 0.8
4x = 40 - 6.4 = 33.6
....x = 33.6 / 4 = 8.4
2. 3a + b = 54
when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
.....a = 45 / 3 = 15
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Answer:
the result should be 187.6; if this is incorrect, inform me so I can provide another response
Step-by-step explanation:
Answer:
A is TRUE (44 in² * 2 = 88 in²).
B is FALSE because x(x-3) = 88 for the rectangle or x(x-3)/2 = 44 for the triangle.
C is TRUE if x(x-3) = 88 leads to x² - 3x - 88 = 0.
D is TRUE:
x² - 3x - 88 = 0.
Δ = 9 + 4 * 88 = 361 = 19².
Thus, x = 11 or x = -8 (we discard negative values).
E is FALSE as 11 * 4 ≠ 88.
Step-by-step explanation:
Please correct me if I'm mistaken.
To minimize the amount of paper used, the dimensions should be perfectly matched such that the diameter equals the height. Therefore, if we denote the diameter as x, then the height equals x and the radius is x/2.
Consequently, the cone's volume is expressed as:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
From this, we can derive that:
33=0.262x^3
thus, we find x^3=125.95
solving gives x=(125.95)^(1/3)
resulting in x=5.0126=5.01 cm
thus, the diameter and height are both 5.01cm.
