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iogann1982 [59]

3 years ago

14

What is slope of the line on this graph

1 answer:

tangare [24]3 years ago

4 0

to go from point to point

we go up six units and to the right 1 unit

slope = 6/1

m = 6

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet

asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

$M=M_oe^{kt}$

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming $k=-0.2$

The model is now

$M=M_oe^{-0.2t}$

We are required to compute the time it takes the mass to reach one-half of its initial value:

$\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}$

Simplifying

$\displaystyle \frac{1}{2}=e^{-0.2t}$

Taking logarithms

$\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t$

Solving for t

$\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51$

6 0

3 years ago

In this circle, the area of sector COD is 50.24 square units. The radius of the circle is units , and units.

maks197457 [2]

Let angle be alpha

$\\ \rm\Rrightarrow Area=50.24$

$\\ \rm\Rrightarrow \dfrac{\alpha}{360}\pi r^2=50.24$

$\\ \rm\Rrightarrow \alpha 3.14r^2=18086.4$

$\\ \rm\Rrightarrow \alpha r^2=5760$

$\\ \rm\Rrightarrow r^2=\dfrac{5760}{\alpha}$

$\\ \rm\Rrightarrow r=\sqrt{\dfrac{5760}{\alpha}}$

If you have angle measure in degree put in place of Alpha and get the value elaw this is our final answer

7 0

2 years ago

PLEASE HELP ASAP

Vilka [71]

Answer:

A, 152 cm.

Step-by-step explanation:

A rectangular pyramid has a volume equation of

V = (lwh)/3.

Therefore, when we plug the values in:

[(7)(5)(13)]/3 = V

V = 455/3

V = 151.666667

V is approximately equal to 152 cm^3.

I hope this helped! :)

5 0

2 years ago

Help me with math please

slava [35]

Both of these lines share the relationship together of being parallel.

3 0

3 years ago

Angle Sum Theorem. y = ?

salantis [7]

Answer:

90°

Step-by-step explanation:

Interior angles of ALL triangles sum to 180°

The whole large triangle has angles 60 60 60 ( they sum to 180)

that means x = 30

then the small triangle on the right has 60 + 30 + y = 180

meaning y = 90 °

8 0

1 year ago