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love history [14]
3 years ago
5

Determine the angle measurements for triangles SUV and WYZ

Mathematics
1 answer:
k0ka [10]3 years ago
3 0
It really helps without something to look at!!!!!!!!!!!!!!!
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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
Climbing at an indoor rock-climbing gym costs $8 per hour. Lizbeth has a $30 gift card to spend at the gym. Write an algebraic e
Aleks04 [339]

Answer:

8h=30

Lizbeth can not climb for 4.5 hours.

Step-by-step explanation:

If you plug in 4.5 for h you get

8(4.5)=30

36 does not equal 30

Therefore Lizbeth can't climb for 4.5 hours

6 0
3 years ago
A side of a led lighting cube is 5 cm long. What is the area of its 6 faces?
ratelena [41]

Answer:

Of all 6 faces it would be 150

Step-by-step explanation:

If one side of the cube is 5cm long, then l × w = area of a face, so if it is a cube then all 4 sides are the same on a face so 5 × 5 = 25, so 25 × 6 faces = 150

8 0
3 years ago
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i'm so clueless 3 4 ÷ 1 5 ? A fraction bar. The top bar is labeled 1. 4 bars underneath the bar are labeled one-fourth. 5 bars u
Gnoma [55]

The answer is 3/4. I hope this helped.

8 0
3 years ago
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The trip from Carville to Planesborough takes 4 1/2 hours when traveling at a constant speed of 70 miles per hour. How long, in
gregori [183]

Answer:

5h 15 min

Step-by-step explanation:

70 mph * 4,5 = 315 miles

315 / 60 = 5,25h

5,25h = 5 1/4h = 5h 15 min

5 0
2 years ago
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