Does anyone know this?

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

https://brainly.com/question/19599469

Answer:

I think it is c

Step-by-step explanation:

I might be wrong wait for a second answer if it is the same then I think I am right

Answer:

[Fourth Option] 55.2

Step-by-step explanation:

60% -> 0.6

0.6 * 92 = 55.2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

(D) 55.2

Step-by-step explanation:

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

Answer:

returning the collateral

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

Answer:

11

Step-by-step explanation:

the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps

Answer:

x-5.

Step-by-step explanation:

If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)

Answer:

x-5

Step-by-step explanation:

The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

Answer:

281

Step-by-step explanation:

9514 1404 393

Answer:

  281

Step-by-step explanation:

The difference between the numbers of marbles is found by subtraction.

  560 -279 = 281

Addison has 281 fewer red marbles than blue.

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough

Answer:

15

Step-by-step explanation:

Answer:

4 better explanation

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

(2,-1)

The numerical value of this algebraic expression is 123

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

[tex]\large \sf =6(22 - 12) + 63[/tex]

[tex]\large \sf =6(10) + 63[/tex]

[tex]\large \sf =60 + 63[/tex]

[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]

Therefore, we can conclude that the numeric value of this expression will be 123

This question is basically asking for the area of the tablecloth. Remember that A = l • w.

12 • 7 = 84

So, Henry will need to buy 84 ft^2 of fabric.

Answer:

21899921030

Step-by-step explanation:

e^(i.π) = -1

2^(-2+3-1) = 2^0 = 1

Therefor

-1 + 1 + 21899921030 = 21899921030

Answer:

w=15

Step-by-step explanation:

4w-36=w+9

3w=45

w=15

Answer:

15

Step-by-step explanation:

The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.

[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

  P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

  $384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

  $23,040.00 -21,056.60 = $1,983.40 . . . total interest

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

Answer:

Step-by-step explanation:

x = orange ball count

y = green ball count

y = 3x + 7

x + (3x + 7) = 103

4x = 96

x = 24 orange balls

y = 103 - 24 = 79 green balls

or

y = 3(24) + 7 = 79

Answer:

52 green, 15 orange!

Step-by-step explanation:

take reference from the following image:

Answer:

Answer: (31807/81) ÷ 2 = 196.339506173

Step-by-step explanation:

Math answers to division of fraction 31807/81

31807 81 = 392.679012346

392.679012346 = 3926.79012346 to the nearest tenth

392.679012346 = 392.68 to the nearest hundredth

392.679012346 = 392.679 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

31807 divide by half plus 20

Homework answers: (31807/2) + 20 = 15923.5

31807 divide by half plus 40

Homework answers: (31807/2) + 40 = 15943.5

31807/81 divided by 2

Answer: (31807/81) ÷ 2 = 196.339506173

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

Answer:

D. is your answer

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80