The half-life of caffeine in a person's bloodstream is about 6 hours. If a person's bloodstream contains 70 milligrams of caffeine,how much of that caffeine will remain after 15 hours ?

Answers

Answer 1

Answer:

12.4 mg

Step-by-step explanation:

a = p(1/2)^(t/h)

p is the initial quantity = 70

t is the time = 15

h is the half life = 6

plug in the givens

a = 70(1/2)^(15/6)

a = 12.3743686708

12.4 mg


Related Questions

1. Sandra is trying to determine the height of a light pole at the corner of the block on

which she lives. The shadow cast by the light pole is 5 feet.

If the angle of elevation from the sidewalk to the top of the light pole is represented

as e, which equation could be used to find the height of the light pole?

Answers

Answer:

h = 5(tane)

Step-by-step explanation:

The diagrammatic representation of the question given is attached below ;

The height of the light pole, h = opposite side

Adjacent side = 5 feets

Angle of elevation = e

Using trigonometry ;

Tan e = opposite / Adjacent

Tan e = h / 5

Making h the subject ;

h = 5(tane)

a bit of help here! Ill give branliest! :)

Answers

Answer:

whats the question?

Step-by-step explanation:

Can you please upload a question?There isn’t anything I can use to answer it sorry

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. A confidence interval of 173.8 mg < μ < 196.2 mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent?

Answers

Answer:

The appropriate solution is "95%".

Step-by-step explanation:

The given values are:

Lower bound,

= 173.8

Upper bound,

= 196.2

Mean of cholesterol,

= 138 milligrams

S = 17.6 mg

Now,

The margin of error (E) will be:

=  [tex]\frac{Upper \ bound-Lower \ bound}{2}[/tex]

=  [tex]\frac{196.2-173.8}{2}[/tex]

=  [tex]\frac{22.4}{2}[/tex]

=  [tex]11.2[/tex]

As we know,

⇒  [tex]E=t_{\alpha 12}\times \frac{S}{\sqrt{n} }[/tex]

On putting the values, we get

⇒   [tex]11.2=t_{\alpha 12}\times \frac{17.6}{\sqrt{12} }[/tex]

On applying cross-multiplication, we get

⇒   [tex]t_{\alpha 12}=2.2044[/tex]

∴ [tex]\frac{\alpha}{2} =0.025[/tex]

   [tex]\alpha = 0.025\times 2[/tex]

      [tex]=0.05[/tex]

hence,

The confidence level will be:

⇒  [tex]CI=1-\alpha[/tex]

⇒        [tex]=1-0.05[/tex]

⇒        [tex]=0.95[/tex]

⇒        [tex]=95[/tex]%

Some help please! :) Branliest

Answers

Answer:

Households without a vehicle were not surveyed. D

Step-by-step explanation:

I just finished with Maps testing like 10 minutes ago XD good luck!!

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct

Answers

Answer:

d

Step-by-step explanation:

d is .04 percent plz mark branliest

WILL




GIVE


BRAINLIST ANSWER

..
.
.
.
.

Answers

Click on the picture for the graph!

Remember to label!

Hope this helps! Have a great day!

HELP ASAP DUE TOMORROW

Answers

Answer:

5) P (arrive) + P (not arrive) = 100%   Complements

80% + P( not arrive) = 100%    Substitute thr ralees

P ( not arraive) = 100% - 80%   Isolate the needed

P ( not arrive) = 20%

therefor, the probability of not arriving on time is:-

20%, or 0.20, or 1/5

The complements of arriving on time is not arriving on time.

The probability is equal to 100%

--------------------------------

hope it helps..

have a great day!

Determine the volume!

Answers

Answer:
I can’t see the picture

Explanation:
What do you need help with?

radio y diametro de
55.292cm

Answers

Answer:

Radio es 8.799974535 cm

Diametro es 17.59994907 cm

Explicación paso a paso:

Como tienes la medida en cm, me indica que es el perimetro del circulo

C=πd

55.292=3.1416 d

\frac{55.292}{3.1416} =d

3.1416

55.292

=d

17.59994907=d

Para sacar radio hay que dividir entre 2

r=8.799974535

SIMPLIFY
3(4x+4)-4=?

Answers

12x+8 is the answer

Answer:

12x+8

Step-by-step explanation:

3( 4x+4)-4 ( Remove the parentheses)

12x+12-4 Calculate

the answer would be 12x+8

Please help me :( I feel worthless because of math

Answers

Answer:

I think 262 is the right answer.

Step-by-step explanation:

Don't feel worthless because of math! Math is a diffcult to understand subject, and a real pain in the butt.

you have money for the amusement park you spent $6 on bumper cars and have $12 left and solve an equation that gives the amount of money you started with.​

Answers

12+6 right? I think

Answer:

The expression ( Unsolved equation ) would be 12 + 6 = X .

The answer would be X = 18 .

Please give me Brainliest ! :)

Here is the problem for you :)

Answers

Answer:

Angle Y:

Sin(Y) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Cos(Y) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Tan(Y) = 36/15, if simplified: 12/5, in decimal it would be: 2.4

Angle X:

Sin(X) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Cos(X) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Tan(X) = 15/36, if simplified: 5/12, in decimal it would be: 0.42

Hope this helps!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

c) [tex]\frac{x-2}{x+6}[/tex]

Step-by-step explanation:

When given that function (f) is the following,

[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]

The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,

[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]

If is given that function (g) is the following,

[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]

Then one should also factor the expression,

[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]

One is asked to find the following,

[tex]f(x)*g(x)[/tex]

To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,

[tex]f(x)*g(x)[/tex]

Substitute,

[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]

Simplify, cross out like terms in the numerator and denominator,

[tex]\frac{x-2}{x+6}[/tex]

Please help will give brainliest


Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.

Answers

Answer:

3/10

Step-by-step explanation:

Remark

The denominator of the probability is the entire amount present. Just add

Denominator

Blue/Large      17

Red/Large        8

Small                3

Red Small      12

Total               40

Red / Small

P(red/small) = 12 / 40

P(red/Small)  = 3 / 10

Which set of angle measures would determine a triangle?
A. 750, 150, 10°
B. 150°, 20°, 50°
O C. 50°, 50°, 100°
D. 75º, 5º, 100°
E. 70°, 60°, 40°

Answers

Answer: I think it’s E

Step-by-step explanation:

Answer:

D. 75°, 5•, 100°

Step-by-step explanation:

All angles in a triangle add up to 180°

PLS HELP ME ASAP! FOR 15 POINTS AND DONT GIVE ME A LINK
Select the correct answer.
What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

A. x = 1, y = -6

B. x = 1, y = -7

C. x = 3, y = -6

D. x = 3, y = -7

Answers

Answer:

C. x = 3, y = -6 is the answer.

Step-by-step explanation:

1. Isolate x for x = 2y = 15 -> x = 15 + 2y

2. Substitute x = 15 + 2y -> [2 (15 + 2y) + 4y = -18]

3. Simplify -> [30 + 8y = -18)

4. Isolate y for 30 + 8y = -18 -> y = -6

5. For x = 15 + 2y, substitute y = -6 -> x = 15 + 2(-6)

So, x = 3 and y = -6 are the solutions to this system of equations.

Hope this helps! :)

And also you should use Symbolab, it gives all the answers and steps

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6

1+6

2+5

3+4

4+3

5+2

6+1

hope it helps

What is product of 3x-4 an 5x^2-2x+6
help me please, please, please

Answers

(3x-4)(5x^2-2x+6)
15x^3-6x^2+18x-20x^2+8x-24
15x^3-26x^2+26x-24

Step-by-step explanation:

[tex]thank \: you[/tex]

Find a formula for a geometric sequence that begins 12,4,4/3

Answers

Answer:

k

Step-by-step explanation:

Select the correct answer.
What does an individual's effective tax rate indicate?
Α.
the average Income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate

Answers

Answer: B

Step-by-step explanation:

An individual's effective tax rate is the average tax rate.

what is 1/3 plus 4/5

Answers

It is 1.13333333333
You can round it and then it will be 1.13

The rounding will be that as the number after the point is not 5 or above

Answer:

1.13333333333

Step-by-step explanation:

sorry if it’s wrong!

Which expression can be used to find the height of the cone below?
V = 30ft³ B = 80ft²
A.30 = 1/3(8h)
B.8 = 30h
C.30 = 8h
D.8= 1/3(30h)​

Answers

Answer:

A. 30 = ⅓(8h)

Step-by-step explanation:

Volume of cone (V) = 30 ft³ (given)

Base area (BA) = 8 ft² (given)

height = ?

Formula for volume of a cone = ⅓*B.A*h

Plug in the values into the equation

30 = ⅓*8*h

30 = ⅓(8h)

Expression to find the height will be 30 = ⅓(8h)

At one point during the hike, Noe is at an elevation of 453 feet. After descending at a rate of 50 feet per
minute, she reaches an elevation of 146 feet.
How long does the descent take?

Answers

Answer:

6.14 minutes   or   6 minutes & 8.4 seconds

Step-by-step explanation:

Initial elevation: 453 ft

Final elevation: 146 ft

Difference in elevation: 453 ft - 146 ft = 307 ft

speed = 50 ft/min

speed = distance/time

time * speed = distance

time = distance/speed

time = (307 ft)/(50 ft/min)

time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds

time = 6.14 minutes = 6 minutes + 8.4 seconds

NEED HELP PLZ
Consider the following set of equations:

Equation A: y = -x + 5
Equation B: y = 6x − 4

Which of the following is a step that can be used to find the solution to the set of equations? (4 points)

a
−x = 6x + 4

b
−x − 2 = 6x + 4

c
−x + 5 = 6x − 4

d
−x + 5 = 5x

Answers

Answer:

look at the picture i sent......

Answer:

for other guy brains

Step-by-step explanation:

4log(2) x + log(2)5 = log(2)405

Answers

Answer:

3/2

Step-by-step explanation:

Which of the below is the correct name for a plane that contains points A, B, C, and D?
plane CDE
plane CD
⭐️plane ACD
plane A

Answers

Answer:

 

Step-by-step explanation:

What is the probability of drawing 2 aces (at once) from a standard deck of cards? Leave your answer as a simplified fraction​

Answers

Anwner : 4/52

Explanation : The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.

A 14-oz iced tea at a certain restaurant has 126 calories. How many calories are there in
The 20-oz iced tea has
calories

Answers

Answer:

[tex]180\:\text{calories}[/tex]

Step-by-step explanation:

The question implies a constant rate or distribution of calories. Therefore, we can set up the following proportion:

[tex]\frac{14}{126}=\frac{20}{x},\\14x=20\cdot 126,\\14x=2520,\\x=\boxed{180\:\text{calories}}[/tex]

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