Step-by-step explanation:
ram is true because when 2.5 is multiplied to .5 centimeters then answered becomes 12.5 centimeters square
The sum of all the positive integers from square root 14 to squareroot 80 is 30.
A perfect square is a number system that can be expressed as the
square of a given number from the same system.
We need to find the sum of all the positive integers from square root 14 to squareroot 80.
√14 = 3.74
√80 = 8.94
Thus, √14 +√80
4 + 5+ 6 + 7 + 8
= 30
Therefore, the sum of all the positive integers from square root 14 to squareroot 80 is 30.
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Answer:
The sum is 30.
Step-by-step explanation:
To find the coordinates of the point on the curve where the tangent passes through the origin, we need to find the equation of the tangent line and then solve for the x-coordinate of the point of tangency.
Let's break it down step by step:
1. Start with the equation of the curve: y = x² + 3x + 4.
2. Find the derivative of the curve to find the slope of the tangent line. The derivative of y = x² + 3x + 4 is dy/dx = 2x + 3.
3. Set the derivative equal to the slope of the line passing through the origin, which is 0 since the line is horizontal. So, 2x + 3 = 0.
4. Solve the equation to find the x-coordinate of the point of tangency. Subtract 3 from both sides: 2x = -3. Divide by 2: x = -3/2.
5. Plug the x-coordinate back into the original equation to find the y-coordinate. y = (-3/2)² + 3(-3/2) + 4 = 9/4 - 9/2 + 4 = 9/4 - 18/4 + 16/4 = 7/4.
6. Therefore, the point on the curve where the tangent passes through the origin is (-3/2, 7/4).
None of the given options match the coordinates (-3/2, 7/4). Therefore, none of the options are correct.
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84
Answer: AB=6
Step-by-step explanation:
AB=12×5/10= 6
Answer:
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b. how much would a man the weighs 50 pounds on the moon weigh on earth?