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cricket20 [7]
4 years ago
11

Write 7x^2-4+6x^3-4x-x^4 in standard form

Mathematics
1 answer:
anygoal [31]4 years ago
3 0

Answer:

8+24x^8

Step-by-step explanation:

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The 6 in the hundreds place tells you the quotient is at least 100. The non-zero digits in the 1s and 10s places tell you the quotient is more than 100.
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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
Read 2 more answers
New York City is building an outdoor skating rink that is circular. If the diameter of the circle is 92 meters, what is the area
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Hello there! The formula for finding the area of a circle is π * r². The radius is 1/2 of the diameter. The diameter is 92 meters ½ of 92 is 46. So we will raise 46 to the second power. 46² is 2,116. Now, let's multiply that by 3.14 to ffind the area of the circle. 2,116 * 3.14 is 6,644.24. There. The area of the ice skating rink is 6,644.24 square feet.
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3 years ago
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