Answer:
645320
Step-by-step explanation:
Given: 6_5_2_
If a multiplication sign is placed between the second and third digit, and an equal sign is placed between the third and fourth digit, then
6_ × 5 = _2_
The passcode contains 6 DIFFERENT digits, so we know the missing numbers cannot be 6, 5, or 2.
So, do a trial and error session of multiplying 5 by numbers it could possibly be (60, 61, 63, 64, 67, 68, 69).
64 × 5 = 320. It is the only equation that is both correct and matches the digits given, so the missing digits are 4, 3, and 0. Barry's passcode is 645320.
9514 1404 393
Answer:
- 0 < x < 4
- (- ∞ < x < 0) ∪ (4 < x < ∞)
- x ∈ {0, 4}
Step-by-step explanation:
1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).
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2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).
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3. The x-intercepts of the graph are x=0 or x=4.
Answer:
w = 4 cm
Step-by-step explanation:
recall that the area of a triangle is given by
A = (1/2) x base length x height
we are given:
A = 10 cm²
base length = 5 cm
height = w
substituting the values above into the equation,
A = (1/2) x base length x height
10 = (1/2) x 5 x w
20 = 5w
w = 20/5
w = 4 cm
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm
