Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.

Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.

Answers

Answer 1

Answer:

C = t * 3

Step-by-step explanation:


Related Questions

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?

Answers

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

A dozen of roses cost $64.44. How much did each rose cost?

Answers

Answer:

5.37

Step-by-step explanation:

if 12 roses cost 64.44 and the price of one is x then

12x=64.44

x=64.44/12

x=5.37

Jordan doesn't know how to graph y > 2x + 1 . Can you explain to him using the words below how to do it?

Vocabulary to use:
slope, y-intercept, shade above/below, and dotted/solid line

Answers

Answer:

Step-by-step explanation:

Formula: Y= mx+b

m = slope    |    b = y-intercept

Equation: Y>2x+1

The Y-Intercept is the (1)

Shade above the dotted line because it is >.

You always shade on the left if the left side of the equation is > than the right.

If ≥ Then the line is Solid  ||||  If > Then the line is dotted.

Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.

Answers

Answer:

336 miles

Step-by-step explanation:every gallon goes 21 miles so

2gallons= 42 miles

3gallons =63 miles

16 gallons  x 21 miles

Answer:

336

Step-by-step explanation:

for every one gallon he goes 21 miles

21+21=42         2 gallons

42+42=84       4 gallons

84+84=168      8 gallons

168+168=336  16 gallons

which of the tables represent a function?
PLEASE BE QUIIICCCKKK​

Answers

Answer:

I think its C or A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can never have a 'x' with two values.

If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).

Following this,

A: x = 3 has two f(x) = 2 & 1, so it's not a function

Similarly you can check for all.

There is only one table which x has a unique value.

Correct B

Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.

Also, a function is possible only when it satisfies this. But

f(x) = a, f(y) = a, f(z) = a is possible.

sid has £5 to buy apples and bananas

Answers

Answer:

So he could use 3 pounds for apples, and two for bananas.

Step-by-step explanation:

Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server? ​

Answers

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

label the slope and y intercept​

Answers

Y intercept is (0,3)
Slope is 3/2

Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?

Answers

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

What’s the answer xx

Answers

Step-by-step explanation:

Hey there!

Given;

ABC is a Right angled triangle.

Taking angle "A" as reference angle, we get;

Perpendicular (p) = BC

hypotenuse (h) = 13cm

Base(b) = 8cm

We know;

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]

[tex] BC = \sqrt{169 - 64} [/tex]

[tex] BC = \sqrt{105} [/tex]

[tex] BC = 10.246[/tex]

Therefore, BC = 10.246cm.

Hope it helps...

Solve for b : 1/2b+G=D

Answers

Answer:

I believe the answer is b=1/2(d-g)

Step-by-step explanation:

multiply to remove the variable from the denominator.


PLS HELP PLSSSSSSS QUICK

Answers

mean (average) = all number added together/amount of numbers

(13.2 + 11.9 + 11.8 + 9.7 + x)/5 = 12.2
46.6 + x/5 = 12.2
46.6 + x = 61
x = 14.4

the heaviest fish weighs 14.4 lbs

A high-pressure air mass is most likely to bring A) lower humidity. B) higher humidity. lower temperatures. D) higher temperatures.​

Answers

Answer:

b

Step-by-step explanation:

i think its b but im not 100% sure

A high-pressure air mass is most likely to bring lower humidity. the correct answer would be an option (A).

What is humidity?

In general, humidity is a measurement of the amount of water vapor in the air. Meteorologists often divide water vapor in the atmosphere into two categories: absolute humidity and relative humidity. Dew point is an exact statistic that helps us comprehend how damp and humid it feels outside.

A high-pressure air mass typically brings lower humidity because high-pressure air masses are associated with clear and dry weather conditions.

The sinking motion of air in a high-pressure system compresses and warms the air, causing the relative humidity to decrease as moisture is squeezed out of the air.

This results in lower humidity levels compared to a low-pressure system, which brings moist air from the surrounding areas.

Hence, the correct answer would be option (A) lower humidity.

Learn more about the humidity here:

https://brainly.com/question/22069910

#SPJ6

The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?

Answers

Answer: (7, 6)

Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho

HELLLP WILL GIVE 50 POINTSS​

Answers

Answer:

12

Step-by-step explanation:

You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.

Answer:

y = 12

Step-by-step explanation:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]

[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]

[tex]35^{2}[/tex] = 1,225

[tex]37^{2}[/tex] = 1,369

1,369 - 1,225 = 144

[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]

[tex]\sqrt{144}[/tex] = 12

Solve for x

X-5=-9

(10 points)

Answers

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

bracket is necessary in order of operations​

Answers

Answer:

yeah they are necessary in fact they are the first when you use BODMAS

If mZ3 = 74°, find each measure.

Answers

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?

Answers

Answer:

C) y − 5 = −(x − 2)

Step-by-step explanation:

URGENT PLEASE HELP ASAP

Answers

Answer:

What do you need help with

Step-by-step explanation:

Which of the following is not true?

Answers

Answer:

d) 1/2 ÷ 4 = 1/2 • 4/1

Step-by-step explanation:

when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)

when multiplying just multiply straight across

what makes -1.3 a non integer

Answers

Answer:

Decimal and fractions numbers are non-integers

Step-by-step explanation:

The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!

The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?

Answers

Answer: 302

Step-by-step explanation:

Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.

Answers

Answer:

Rs. 52[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen  = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

       = amount spent on food + amount spent on pen + amount given to friend

      = Rs. 25.75  + Rs. 10.25  +  Rs. 16.5

       = Rs. 52.5 or  Rs. 52[tex]\frac{1}{2}[/tex]

Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.

Answers

Answer:  

$20 <= X < = $21

Step-by-step explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo,  x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

are some integers irrational

Answers

What are the options?

Find the value of x.

Answers

Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]

b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x

[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]

Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FORM

Answers

he would walk 2.125 miles or 2 1/8 miles in one hour

Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000

Answers

Answer:

B.

Step-by-step explanation:

When you multiply the two decimals you get 376.74 which is closer to 360 than 400

Answer:
it's b
Step-by-step explanation:
I took the test
Other Questions
Simplify: 3.32 +8+2 - (4 + 3) Can someone help and evaluate this please A helicopters speed increases from 30 m/s to 40 m/s in 5 seconds.What is the acceleration of this helicopter? ______m/s2 The studio was filled with the rich odour of roses, and when the light summer wind stirred amidst the trees of the garden, there came through the open door the heavy scent of the lilac, or the more delicate perfume of the pink-flowering thorn. How does the writer seem to feel about the studio he has described? Hurry please What is the attitude in this poem? 46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH! National Park Animal PopulationsYou are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:Yellowstonex Yeary1 Population 1, Grizzly Bears(per square mile)y2 Population 2, Pocket Gophers(per square mile)y3 Population 3, Osprey(per square mile)x y1 y2 y30 4.0 4.0 4.01 4.5 4.5 5.82 5.0 5.3 7.23 5.5 6.4 8.24 6.0 8.1 8.85 6.5 10.6 9.08 8.0 28.6 7.210 9.0 60.7 4.0 Evergladesx Yeary1 Population 1, American Alligator(per square mile)y2 Population 2, Marsh Rabbit(per square mile)y3 Population 3, Florida Panther(per square mile)x y1 y2 y30 6.0 6.0 6.01 6.5 6.5 7.82 7.0 7.3 9.03 7.5 8.4 9.84 8.0 10.1 10.05 8.5 12.6 9.88 10.0 30.6 6.010 11.0 62.7 1.0Make Sense of the ProblemWhat do you want to find out? Analyze the DataPopulation 1 (y1): ______________________________ (Write the animal species' name.)Answer the following questions about the growth function of population 1:1. Is population 1 increasing or decreasing? (0.5 point)2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)Population 2 (y2): ______________________________ (Write the animal species' name.)Answer the following questions about the growth function of population 2:5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)Population 3 (y3): ______________________________ (Write the animal species' name.)Answer the following questions about the growth function of population 3:9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)13. Use the following graphs to verify your work on this question.A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point) PLEASE HELP IT IS DUE TODAY! 2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0). what's the diagonal if a square of area 32 cm2? i dont know how to do the chart The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables 1. if you could travel back in time, what years would you go to? Why? Adam Smith's ideas were responsible for what ideological movement? The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8 per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2 per minute, but you must pay a 42 "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0please help quickly TIME REMAINING50:19The primary difference between the Virginia Plan and the New Jersey Plan was __________.A.military fundingB.a standard national currencyC.state representation in CongressD.control of heavily used waterways In an effort to increase profits, Levis Jean Company, buys up cotton farms, textile mills, and retail stores. Which business strategy best reflects this business model?No answer provideda. Mass productionb. Vertical integrationc. Laissez-faired. Horizontal integration help me ................. to manage strong or challenging emotions, a good first step is to: EVERFI! -7+8what is negative 7 plus 8? Candice skipped 12 m in 3 seconds. What was her speed in m/s?