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igor_vitrenko [27]
2 years ago
15

Hello!! This question is really confusing so I would like some help, please!

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

y=\frac{4}{7}x+3

Step-by-step explanation:

The gradient of line A is

\frac{-6-(-2)}{-7-0}=\frac{4}{7}

Parallel lines have the same gradient, so m = 4/7.

Substituting the coordinates of P into y = mx + c,

3=c \implies y=\frac{4}{7}x+3

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4 years ago
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
Question 5 of 20
Dmitry_Shevchenko [17]
I’m going to say B I could be wrong
3 0
3 years ago
Explain how to write a function rule from the table below. Then write a function rule.
Brut [27]

To find the slope you do y1-y2/x1-x2

To find the y intercept you look at when x is zero what is y.

Equation is y=-1/2x -2

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP !!!!!!!!
AnnyKZ [126]
Answer: 7°

Explanation:

FBD = EBC
2x + 3 = 9x - 11
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x = -14/-7
x = 2

EBC = 9(2) - 11 = 18 - 11 = 7°
7 0
3 years ago
Read 2 more answers
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