Researchers are recording how much of an experimental medication is in a person's bloodstream every hour. they discover that half-life of the medication is about 6 hours.
Answers
By using the known half-life, we can see that if the initial dose is 500mg, after 4 days the medication will be 0.0076 mg.
What is the half-life?
We define half-life as the time such that the initial amount is reduced to its half.
So, if a given substance has a half-life T, then the amount of substance as a function of time, we have:
S(t) = A*e^{-t*ln(2)/T}
Where t is the variable in time units.
We know that T = 6 hours, and A, the initial dose, is 500 mg, so the formula is:
S(t) = 500mg*e^{-t*ln(2)/6h}
Then after 4 days (or 4*24h = 96h) the amount of medication is:
S(96h) = 500mg*e^{-96h*ln(2)/6h} = 0.0076 mg.
If the initial dose was 750mg, after 4 days the person would have:
S(96h) = 750mg*e^{-96h*ln(2)/6h} = 0.0114 mg
So the person would have:
0.0114 mg - 0.0076 mg = 0.038 mg more of medication.
If you want to learn more about the half-life, you can read:
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Related Questions
Andrea Spent a total of $.43.87 on now clothes at a department store bought one pair of Sandals for $8. One T-shirt for 9.49 and two Jeans The tax on the purchase was $2.88 How much did Andrea pay for one pair of jeans, if each pair costs the same amount.
Answers
Answer:
$11.75
Step-by-step explanation:
We need to first subtract to find our answer :)
43.87 - (8 + 9.49 + 2.88)
43.87 - 20.37
23.50
Now we divide :)
23.50/2 = 11.75
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2/3 x 12 write in simplest form.
Answers
2/3 ×12
= 2/1 × 4
= 2× 4
=8
........
What is the value of x in the figure?
Enter your answer in the box.
x =
Answers
Answer:
68 degrees
Step-by-step explanation:
The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.
A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68
Two different ways, either will work
Hope this helps!
Angles are complementary
x+22=90x=90-22x=68x is 68°
If 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?
Answers
Answer: 15 mins
Step-by-step explanation:
20 ÷ 8 = 2.5 (how many Mins 1 part takes)
2.5 x 6 = 15
It will take 15 minutes does it take to make 6 parts.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
If 8 parts take 20 minutes to make then 1 part take x time which is equal to;
[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]
One part takes 2.5 minutes.
The minutes does it take to make 6 parts are;
[tex]= 6 \times 2.5\\\\=15[/tex]
Hence, it will take 15 minutes does it take to make 6 parts.
To know more about the unitary method click the link given below.
https://brainly.com/question/13823511
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If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they
Answers
Answer:
20 meters
Step-by-step explanation:
m exponent 2 plus 15 if m =4
Answers
Answer:
31
Step-by-step explanation:
[tex]4^{2}[/tex]=16
16+15=31
Find the mean of the following data set: 20, 22, 24, 25, 29, 30, 32, 36
Answers
Answer:
27.25
Step-by-step explanation:
we find the mean by adding all the values and dividing by the number of values.
Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.
Answers
Answer:
64 units squared
Step-by-step explanation:
If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.
Asia has a jar of marbles. She randomly selects a marble from the jar, records its color, and returns it to the jar. She repeats this 74 times. Her results are shown in the table. A frequency table shows each outcome and its frequency. Red, thirteen times. Blue, twenty times. Green, twenty-two times. Yellow, nineteen times. What is the experimental probability of Asia choosing a green marble?
Answers
Answer:Experimental probability = 0.297
Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297
Therefore the experimental probability of choosing green marble is 0.297.
Fisher Auto Parts is running a 45% clearance sale on batteries. One battery cost $149.99. If the consumer purchases 2 batteries. What would be the final cost?
Sales tax is 5%.
Answers
Answer:
$204.74
Step-by-step explanation:
At 45% off each battery, the price for 1 battery would be (149.99)*(0.65) = $94.50. Two batteries would be a total of $194.99.
Add 5% tax:
($194.99)(1.05) = $204.74
Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?
A.) 9
B.) 32
C.) 39
D.) 122
Answers
a is the answer because it makes sense and it's very logical
Please help with angle addition
Answers
Hope this helped!!
What is 8 * 8?
8*8 =
A. 64
B. 24
C. 91
D. 8
Answers
Answer: A. 64
Step-by-step explanation:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64
Triangle ABC is graphed. (image included)
1) Transform triangle ABC using the rule (x,y) → (-x,y)
2) Describe the transformation precisely.
Answers
Answer:
see attachedthe figure is reflected in the y-axisStep-by-step explanation:
1.The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.
__
2.The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.
I’m stuck, HELP
3(6) + 4(2)^3 - 5
Answers
Answer:
45
Step-by-step explanation:
Lets split the problem then add/subtract at the end
3 x 6 = 18
Due to Order of operations we do 2^3 first then multipy by 4
so 2^3 = 8 Then we do 8 x 4 = 32
Now we add/subtract
18 + 32 - 5 = 45
45 is the answer
Answer:
45
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtration
[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]
Hope this helps!
Help pleazeeeeee! I need this as soon as possible
Answers
Brainlest if u get it right
Answers
Answer:
A. would be best I'm pretty sure
Step-by-step explanation:
Answer: A.
Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students. Option A is a unbiased sample, therefore, that's your answer.
Hope this helps! :)
Solve this problem please and thank you.
Answers
Answer:
B
Step-by-step explanation:
The given expressions can be compared by putting each in standard form.
A. -8 -7n +16n = (-7+16)n -8 = 9n -8
B. 9(n -8) = 9n -72 . . . . different from the others
C. n -8 +8n = (1 +8)n -8 = 9n -8
D. 9n -8
_____
The standard form of a polynomial expression has the variable terms in decreasing order by degree
I really need help to understand this problem for my end of course exam!!!!
Answers
Answer:
D. [tex]13(2.81)^n[/tex]
Step-by-step explanation:
[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]
Hope this helps!
Multicultural Studies!
HELP PLEASE
Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism
Answers
Answer:
It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).
please solve the system of equations below thank you
explain if u can
Answers
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4
So
Y= -2
X= 4
https://mathsmadeeasy.co.uk/gcse-maths-revision/simultaneous-equations-gcse-maths-revision/
Check this link out for more help!
can someone send the answer that on the picture and show your work
Answers
Answer:
k = 52
Step-by-step explanation:
- 8 = [tex]\frac{k-4}{-6}[/tex] ( multiply both sides by - 6 to clear the fraction )
48 = k - 4 ( add 4 to both sides )
52 = k
Answer: k=52
Step-by-step explanation:
-8= k-4/-6
multiply by -6
48=k-4
add 4 to both sides
k=52 :)
Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V
Answers
Cos of 60 = 0.5
Which 0.5 as a fraction is 1/2
Answer:
D
Step-by-step explanation:
You can find the answer by memorizing the values of the unit circle.
please help
The table below shows the number of hours that a
scientist has been observing bacteria in a petri dish
Answers
Answer:
In the beginning there were 20 bacterias in the petri dish.
The point (6, - 5) is reflected across the y axis what is the new point
Answers
Answer:
(-6, -5)
Step-by-step explanation:
Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.
(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis
(6, -5) ⇒ (-6, -5)
The image point is (-6, -5).
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=
Answers
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
Answers
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
To learn more about the speed of light visit:
https://brainly.com/question/104425
For each of the figures, write an absoulute value equation that has the following solution set.
Answers
The solution set -18 and 0 are the true values of the absolute value equation
The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {-18, 0}
Calculate the mean of the solution set
Mean = 0.5 * (-18 + 0)
Mean = -9
Calculate the difference of the solution set divided by 2
Difference = (0 + 18)/2
Difference = 9
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x + 9| = 9
Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
Read more about absolute value equation at:
brainly.com/question/2166748
Answer:
|x+9|=9
Step-by-step explanation:
Pls help ill give 15 brainliest and 5 starts question is down below
Answers
Answer:
Area of right angle triangle is axb/2
3x4/2 = 6 sq. Cm
Area of parallelogram = bxh
20x21.5 = 430 in2
Answer:
Area of the triangle: 6 cm
Area of the parallelogram: 430 in²
Step-by-step explanation:
Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.
Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.
answet please and please show work
Answers
Answer:
4, 3, 4
Step-by-step explanation:
The unsimplified ratio of squares to triangles is 6:8, which simplifies to 3:4. That means, for every 3 squares, there are 4 triangles
As stated above, the simplified ratio of squares to triangles is 3:4