1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
4 years ago
10

After a certain medicine is ingested, its concentration in the bloodstream changes over time.

Mathematics
2 answers:
myrzilka [38]4 years ago
8 0

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

Mashcka [7]4 years ago
7 0

Answer:

0.09

Step-by-step explanation:

You might be interested in
A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimete
igor_vitrenko [27]

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

  • Length of the rectangular base is 70 ft less than three times the width;
  • Perimeter of the rectangular base is 900 ft

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

8 0
3 years ago
Write a Mathematical proof to show (3x)(5y)(7z) is equivalent to 105xyz
larisa86 [58]
=3*5*7 (xyz)
=15*7 xyz
=105xyz
7 0
4 years ago
Read 2 more answers
Can someone plzz help me on thiss!
aev [14]

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

5 0
4 years ago
HELP PLEASE !!! Place each expression under the equivalent expression in the table.
tino4ka555 [31]

Answer:

Option 3,5 are under first expression and Option 1,2 are under second expression.

Step-by-step explanation:

1). \frac{(x-4)(x+2)}{x^{2}+5x+6}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}

=\frac{(x-4)(x+2)}{(x+3)(x+2)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}=\frac{(x-4)}{(x+3)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}

=\frac{(x-4)(4x-5)-3x^{2}+24x-20}{(x+3)(4x-5)}

=\frac{4x^{2}-5x-16x+20-3x^{2}+24x-20}{(x+3)(4x-5)}=\frac{x^{2}+3x}{(x+3)(4x-5)}

=\frac{x(x+3)}{(x+3)(4x-5)}=\frac{x}{4x-5}

2). \frac{3x}{4x-5}-\frac{4x^{2}}{8x^{2}-10x}=\frac{3x}{4x-5}-\frac{4x}{8x-10}=\frac{3x(8x-10)-4x(4x-5)}{(4x-5)(8x-10)}

=\frac{24x^{2}-30x-16x^{2}+20x}{(4x-5)(8x-10)}

=\frac{8x^{2}-10x}{(4x-5)(8x-10)}=\frac{x(8x-10)}{(4x-5)(8x-10)}=\frac{x}{4x-5}

3). \frac{6x^{2}}{x^{2}-7x+10}\div \frac{2x}{x-5}

=\frac{6x^{2}}{x^{2}-7x+10}\times \frac{x-5}{2x}

=\frac{3x(x-5)}{x^{2}-7x+10}

=\frac{3x(x-5)}{(x-5)(x-2)}=\frac{3x}{x-2}

4). \frac{-x}{4x-5}-\frac{4x^{2}}{16x^{2}-22x}

=\frac{-x}{4x-5}-\frac{2x}{8x-11}

=\frac{-x(8x-11)-2x(4x-5)}{(4x-5)(8x-11)}

=\frac{-8x^{2}+11x-8x^{2}+10x}{(4x-5)(8x-11)}

=\frac{-16x^{2}+21x}{(4x-5)(8x-11)}=\frac{-x(16x-21)}{(4x-5)(8x-11)}

5). \frac{3x^{2}}{x+3}\times \frac{2(x+3)}{2x^{2}-4x}

=\frac{6x^{2}(x+3)}{2x(x+3)(x-2)}=\frac{3x}{x-2}

6). \frac{5x^{2}}{x-2}\times \frac{2x+6}{8x^{2}-4x}

=\frac{10x^{2}(x+3)}{4x(x-2)(2x-1)}

4 0
4 years ago
Read 2 more answers
Given the equation y = 5x identify the slope and y- intercept
Gnom [1K]

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

7 0
3 years ago
Other questions:
  • Please help with number 7 /// use the table next to it
    6·2 answers
  • Jose solved the inequality 3&gt;x+4 and got x&lt;1.Then,to check his solution,he subtituted -2 into the original inequality to c
    13·1 answer
  • If a triangle has an angle greater than 90 degrees, then it is not a right triangle true or false?
    11·2 answers
  • What's the value of 2 in the number 6.234
    11·1 answer
  • I need assistance please!
    7·1 answer
  • Can someone tell me what's the midrange ?
    11·2 answers
  • Eight more than twice a number is four less than the same number​
    7·2 answers
  • The Roger's applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history,
    10·2 answers
  • 1) Which ratio is expressed as a unit rate?
    12·2 answers
  • What is the value of 3x+7 when x=3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!