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aev [14]
3 years ago
15

Question: A doctor prescribes 600 milligrams of a therapeutic drug that decays by about 13% each hour. Write an equation in base

e relating the amount A of the drug in the patient's system after h hours. use proper function notation
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer: A = 600(0.87^{h})

Step-by-step explanation:

The rate = 13% = 0.13

Let I be the initial value = 600 mg

The Equation will be

A = I (1 - R%)x^{h}

A = 600( 1 - 0.13)x^{h

A = 600(0.87^{h})

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Pls help I need a good grade
creativ13 [48]

Answer:

Step-by-step explanation:

13). -\frac{q}{7}\geq -1

     \frac{q}{7}\leq 1

    (\frac{q}{7}\times 7)\leq (1\times 7)

      q ≤ 7

14). -12x < 60

      12x > -60

      \frac{12x}{12}>\frac{-60}{12}

      x > -5

15). 5 > z - 3

     5 + 3 > z - 3 + 3

     8 > z

16). 0.5 ≤ \frac{y}{8}

     0.5 × 8 ≤ \frac{y}{8}\times 8

     4 ≤ y

Now we can draw these inequalities on a number line.

5 0
3 years ago
Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?
sergiy2304 [10]
<h2>Hello!</h2>

The answer is:

x1=0.53\\x2=-0.17

<h2>Why?</h2>

The quadratic formula is:

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

We have that:

a=11\\b=-4\\c=-1

By substituting we have:

x=\frac{4+-\sqrt{-4^{2}-4*11*-1 } }{2*11}=\frac{4+-\sqrt{16+44} }{22}=\frac{4+-\sqrt{60} }{22}=\frac{4+-(7.75)}{22}

x1=\frac{4+7.75}{22}=0.53\\\\x2=\frac{4-7.75}{22} =-0.17

Have a nice day!

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!! I GAVE ALL MY POINTS! EXPLAIN IF POSSIBLE
SpyIntel [72]

Answer:

  • 10 mice left after 5 years

Step-by-step explanation:

<u>The function is given:</u>

  • f(x) = 5719(0.28)ˣ
  • f(x) is the number of mice left after x years, 5719 is initial number of mice (now) and x is the number of years from now

<u>Substitute x with 5 for 5 years and find the value of the function.</u>

  • f(5) = 5719(0.28)⁵ = 10 (rounded up to the integer number)
  • Multiply 5719 by 0.28 to the 5th power to get approximate number of 10

There will be 10 mice left after 5 years

3 0
3 years ago
How is the number 123,789 written in words?
Leokris [45]
One hundred twenty three thousand seven hundred eighty nine
3 0
4 years ago
Choose the correct vertex of the function f(x) = x2 - X + 2.
8_murik_8 [283]

Answer:

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

f(x) = x² - X + 2.

Quadratic equation with a = 1, b = -1, c = 2

So

\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7

x_{v} = -\frac{(-1)}{2} = \frac{1}{2}

y_{v} = -\frac{-7}{4} = \frac{7}{4}

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

4 0
3 years ago
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