I need help with this math qustoin 2(2+455×330)÷3×2 and anyone bored
2 answers:
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Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
<h3>Answer: (-1,3)</h3>
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Explanation:
Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.
What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.
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Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.
Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)
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When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.
Check out the diagram below.
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in