Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days

Answers

Answer 1

Answer:

In 1 day, 1.70

In two days 0.022

Note; Unit was not given in the question, I would have included it

Step-by-step explanation:

Here, we are to calculate the amount of caffeine remaining in the body.

To calculate this, we simply substitute for the number of hours t in the equation.

In one day , we have 24 hours

So our substitution will be t = 24

Hence; for a day;

g(24) = 130(0.8346)^24 = 1.70

For two days, we have t = 48 hours

Thus; g(48) = 130(0.8346)^48 = 0.022


Related Questions

DUE IN 6 MINUTES!!

Which diagram provides a counter example to the statement below?

“Supplementary angles are never congruent.”


Answers

Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex].  Thus, the appropriate option would be C.

Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].

Congruent property of angles implies that they have equal value.

Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”

Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.

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Answers

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de

Answers

Answer:

HF and DE

Step-by-step explanation:

Answer:

hf and de

Step-by-step explanation:

Is -6 greater than, less than, of equal too -4

Answers

Answer:

-6 in less than -4.

Answer:

-6 less than -4

Step-by-step explanation:

-6 is less because on the number line it will look like it's before -4

Hope this helps!!!

What was the distance from P to n, shown in the figure?

A. -3
B. 1
C. 4
D. 5​

Answers

Answer:

D. 5

Step-by-step explanation:

Assuming 1 box = 1 unit on the coordinate grid, therefore:

Coordinate of point P on the graph = 1

Coordinate of the point at which the ray from point P meets at line n = -4

Distance from P to n = |1 - (-4)|

= |1 + 4|

Distance from P to n = 5 units

The answer is D. 5

Pls help i cant think rn
One angles of a linear pair is 10 more than two thirds the other angle. Find the measure of both angles.
20 points and brainliest who ever gets it right!

Answers

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

Sebastian and his children went into a grocery store and he bought $7 worth of apples
and bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, X, and the number of bananas, y, that Sebastian bought.
Determine three ways to have a total of 8 apples and bananas:

Answers

Answer:

they said 8 apples and bananas altogether

Step-by-step explanation:

it wouldn't be x = 14 and y = 6

Answer: 6 apples and 10 bananas

(6,10)

Step-by-step explanation:

just answered it for someone

PLSSS!!!!! HELP ME!!!! I WILL MARK U!!! MATH!!!!!!!!!!!!

Answers

Answer:

48

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Define

bc² - b

b = 2

c = -5

Step 2: Substitute and Evaluate

Substitute: 2(-5)² - 2Exponents: 2(25) - 2Multiply: 50 - 2Subtract: 48

Answer:

48

Step-by-step explanation:

Hello,

[tex]bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48[/tex]

Thanks

What is the slope of the line shown

Answers

ANSWER

1/2

You can do rise over run and it is 1/2
It’s 1/2 let me know if you need help with anything else

MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Vertical stretch of 2

Step-by-step explanation:

Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two

Quick question
Select True or False. (1 point)

The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.

True
or
False

Answers

Answer:

False

Step-by-step explanation:

Let us evaluate the problem using the proper order of operation:

           4x − 2(5x − 1)

To solve this problem, we use the order of operation called PEMDAS;

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now, since operations inside the parentheses are of the utmost priority, let us solve this;

             4x − 2(5x − 1)

            = 4x - 10x +2

            = -6x + 2  or 2 - 6x

We see that the solution give is false.

1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

Answers

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

Model the following situation with an equation or inequality statement.

The difference of six and a number is greater than nine.

Answers

6 - x > 9

hope this helps! :):):):)

Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?

Answers

Answer:

Sadie:44 Kerry:39 mark:37

Step-by-step explanation:

(5+w) + w + (w-2)=120

-5 from both sides

w+w+(w-2)=115

+2 from both sides

w+w+w=117

117/3 = w

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

Which of the following gives the area, A, of a circle with a diameter of 6

Answers

The correct answer is A hope this helps you :)))

What is the slope and equation of the graph?

Answers

Answer:

Looks like the slope is -(1/2) and the equation is y= -(1/2)x + 1

Where did Emory make a error?

Answers

I don’t see the problem

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Some problem in system

REAL NAME - SHRESTH DUBEY

Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.

Answers

Answer: Airline P since the median is lower and the SDR is lower

Step-by-step explanation:

The rate in the interest formula is given as a percentage, but it must be changed to a

Answers

a decimal. to do this you just take the percent, ex- 20%, and multiply it but .01 or move the decimal 2 spots to the left. 20%=.2

Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.

Answers

Answer:

equation = 590 + 15x = 545 + 20x

No. of hours worked = 9

Step-by-step explanation:

Given that both worked for same number of hours

and

Jeremy worked for for x hours

it meant that Hector also worked for x hours(it is also mentioned same in the problem)

now that we know the number of hours worked in form of x

lets find

total money in their account if they worked for x hours

___________________________________________

For Hector

Money in Hector's account = $590

Earning for Hector in 1 hour = $15

Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x

Total money in with Hector after x hours of work

 = Money in Hector's account + Earning for Hector in x hour = $590 + $15x

Similarly

For Jeremy

Money in Jeremys account = $545

Earning for Jeremy in 1 hour = $20

Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x

Total money in with Jeremy after x hours of work

 = Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x

Given that they same amount of money

thus

$590 + $15x = $545 + $20x

$sign gets cancelled from both sides

590 + 15x = 545 + 20x  Thus, we got the required equation  

=> 590 - 545 = 20x - 15x

=> 45 = 5x

=> x = 45/5 = 9

Thus, both of them worked for 9 hours

The numbers -12, -7, -2, 3 follow a pattern. What are the next three numbers in this pattern?

Answers

Answer:

8,13

Step-by-step explanation:

The pattern in +5 so 3+5=8, and 8+5=13

Answer:

8, 13, 18

Step-by-step explanation:

Jaime’s older brother and his three friends want to split the cost of lunch. They also want to leave a 15%–20% tip. How much should each person pay?

Answers

Answer:

First you have to split the cost of the meal and percentage so

$78.00 divided by 4 that's $19.50 each then after the 20% each would pay $23.40

Each person pay $23.4.

Given, from the fig the total cost of lunch without tip is $78.

Now, Jaime’s older brother and his three friends want to split the cost of lunch between them. So there is total 4 person.

Now each person have to pay [tex]\frac{78}{4} = $ 19.5[/tex]  dollars.

Further they decided to pay tip say 20% so, the amount of tip is 20% of $78.

On calculating amount of tip [tex]=\frac{20}{100} \times 78=15.6[/tex].

Tip is divided among them so per person has to pay tip [tex]=\frac{15.6}{4} =3.9[/tex] dollars.

So, the total amount each person has to pay [tex]=19.5+3.9=23.4[/tex] dollars.

Hence each person pay $23.4.

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Answers

Answer:

y = 60x + 20

y = 65x

0 = 5x - 20

5x = 20

x = 4  ---> 4 hours

Substitute x as 4:

y = 65 x 4

y = 260 ---> 260 miles

So the answer is A

jenny was shopping and found a bag that was marked with a discount of 1/3 off if the original cost of the bag was 80 how much will jenny pay

Answers

Answer:

53.33

Step-by-step explanation:

1/3 of it is 26.66 continuing so it's rounded up

therefore, 80-26.67 is 53.33

can u please help!!! ​

Answers

Answer:

Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?

Step-by-step explanation:

Can someone fill in the blanks for me pls :( :( omg.

Answers

Answer:

w(15)=112.5

Step-by-step explanation:

All you have to do is put the number in the parentheses in the place of the variable, which in this case is h, and perform the prescribed operation.

In this case, you make the equation w(15)=7.5(15) which you can rewrite as

                                                                                  w(15)= 7.5×15, which gives                        .                                                                                  you 112.5 as the product.

Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary

Answers

2,400 is his semimonthly salary

If I || m, identify the angle pair as congruent or supplementary.
Justify your reasoning by classifying the angle pair.
Angle Pair
Congruent or
Supplementary?
Classify
10. 21 and 28
11. 25 and 26
12. Z6 and 28
13. 22 and 23
14. 24 and 27
15. 23 and 26

Answers

Answer/Step-by-step explanation:

10. <1 and <8 are congruent.

Reason/classification: alternate exterior angles

11. <5 and <6 are supplementary.

Reason/classification: linear pair

12. <6 and <8 are congruent.

Reason/classification: corresponding angles

13. <2 and <3 are supplementary.

Reason/classification: same side interior angles

14. <4 and <7 are congruent.

Reason/classification: vertical angles

15. <3 and <6 are congruent.

Reason/classification: alternate interior angles

Find the x-intercept of the graph of the linear equation y = 2x + 4.

Answers

Answer:

The x-intercept is -2

Step-by-step explanation:

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