The function that represents the amount of caffeine in milligrams remaining

Answers

Answer 1

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer 2

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.


Related Questions

(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?

Answers

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]

If both slopes are equal, then:

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]

Correct option: F.

Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400

Answers

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

Answer:

car car truck

Step-by-step explanation:

x + 5 > 7
it’s inequalities

Answers

Answer:

X>2

Step-by-step explanation:

X+5>7

X>2

×= 7+5=12

×=12

always add the the numbers and the letter is always the answer of what u have gotten.

Question 1
What is the 11th multiple of 15?

Answers

Answer:

165

Step-by-step explanation:

15*11=165

The amount of W water used varies directly with the population N of people. City A has a population of 468,000 people and used 37.6 billion gallons of water we would expect City B to use if we know that it's population is 180,000.

Answers

Answer:

the anser is 36.6 gallos of weeding in the w

Step-by-step explanation:

Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.

Answers

Answer:

11/132 = 1/12

Step-by-step explanation:

just put the rise over the run and simplify

Help with this one please

Answers

Answer:

(3x - 14) (2x - 7)

I hope this helps!

function rule y=3x-3

Answers

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

4 x 12 = 6 x n.

4
6
8
12

Answers

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

Please consider Brainliest :)

if c= 2m + d ,Wich equation represents m​

Answers

Answer:

m= (c-d)/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

do the math

How do you write 1.8 x 10 to the power of 2 in standard form.

Answers

Answer:

It already is in standard form

1.8*10^2

Answer:

1.8 x 10²(Standard form) = 180 (Real Number)

How to write in standard form?

The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)

How do you write 1.8 × 10² in standard form?

Write the first number 1.Add a decimal point after it: 1.Now count the number of digits after 1. There are 2 digits.So, in standard form: 180 is 1.8 × 10²

LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL PT 5 LAST ONE

Answers

Answer:

tnbrverwerbtnymu

Step-by-step explanation:

Answer:

THANK YOU SO MUCH !!!!

Keep an eye out for major points! The questions require you to think logically, and are really fun. Correct answers get brainlest! I am just earning more points then i will post.

4(x + 1) = 4x + 4
The equation has infinite solutions.
A value of x that makes the equation true is
which when substituted into the
equation and simplified makes the equation turn into
Another value of a that makes the equation true is
which when substituted
into the equation and simplified makes the equation turn into

Answers

Answer:

the 4 can change to any nummber

Step-by-step explanation:

The following data points represent the number of slices of pizza that each person at Thorton's birthday
party ate.
Sort the data from least to greatest.
7
9
3
2
4
3
1
Find the median number of slices.
slices

Answers

Least Greatest

1, 2, 3, 3, 4, 7, 9

Median: 3

what is 2848448 X 39494948​

Answers

Answer:

1.12499306E14

Step-by-step explanation:

i did the math

.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card

24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252

Answers

I’m pretty sure it’s c

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

please help asap 14 points​

Answers

Answer:

can i friend you

Step-by-step explanation:

4+ (-2) + 3(5) simplify ​

Answers

Answer:

Step-by-step explanation:

when there is a + in front of an expression in parentheses, the expression remains the same.

multiply the numbers. 4-2+15

calculate the sum

and u get 17!

cual es el valor de la expression
7×3²+3×7+6​

Answers

Answer:

90

Step-by-step explanation:

7 x (3x3) + (3x7) +6

(7 x 9) + 21+6

63 + 21 + 6

        90

Someone please answer this it’s due today I need help

Answers

Answer:

x = 8

Step-by-step explanation:

3x - 5 = 2.5x + 3 - (x - 4)

open parentheis

3x - 5 = 2.5x + 3 - x + 4

3x - 5 = 1.5x + 7

subtract 1.5x from both sides of the equation

3x - 1.5x - 5 = 7

1.5x - 5 = 7

add 5 to both sides of the equation

1.5x = 7 + 5

1.5x = 12

divide both sides of the equation by 1.5

1.5x/1.5 = 12/1.5

x = 12/1.5

x = 8

A rectangular room measuresn 11 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.98 foot

Total cost=$

Answers

Answer:

The answer is it will cost $64.68.

Step-by-step explanation:

It is (11 x 6)$0.98

Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9

Answers

Answer:

B

Step-by-step explanation:

Simplify. Help:(
-7i•(-8i)

Answers

Answer:

I got - 56, I could be wrong though

Answer:

-56

Step-by-step explanation: multiply -7i (-8i)

Multiply -8 by -7 56ii

raise i to the power of 1

56(1 ii)

Use the power rule aman  m+n to combine exponents

56i  1+1

Add 1and 1   2

56i^2

rewrite i^2 as -1

56;-1

multiply 56 by -1

-56

A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750

Answers

Answer:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

[tex]x+y = 80 ............ 1[/tex]

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

[tex]325 \times x \\325x[/tex]

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

[tex]50 \times y\\50y[/tex]

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

[tex]325x+50y = 6,750 .............. 2[/tex]

Hence the system of equations represents the situation is:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place

1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)

Answers

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:
The discriminant is 60

Which of the following pairs of numbers have a greatest common factor of 6?
Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84

Answers

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.

Here, the GCFs are ...

A 6 and 3 --- 3

B 30 and 36 --- 6

C 24 and 48 --- 24

D 60 and 88 --- 4

E 18 and 66 --- 6

F 72 and 84 --- 12

_____

Additional detail on finding the GCF

You can factor numbers to see which factors are common:

  60 = 2^2 × 3 × 5

  88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88

You can use the Euclidean algorithm:

  Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.

  84/72 = 1 r 12

  72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84

If x= 12 and y=3, what is the value of x-y²?​

Answers

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

5) h(n) = -2n^2+ 4; Find h(4)

Answers

Answer:

h(4) = -28

General Formulas and Concepts:

Substituting into functions

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(n) = -2n² + 4

h(4) is n = 4

Step 2: Solve

Substitute:                    h(4) = -2(4)² + 4Exponents:                   h(4) = -2(16) + 4Multiply:                        h(4) = -32 + 4Add:                              h(4) = -28

i’ll mark brainlest! pls help :(

Answers

Answer:

square root: [tex]\sqrt{61}[/tex]

decimal: 7.81

Step-by-step explanation:

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