Mr. Greene likes to drink a cup of green tea every morning. One cup has about 35 mg of caffeine in it, and the amount of caffeine left in the bloodstream decreases by 23% every hour.
a.) Write a function that models the situation.
b.) How much caffeine will be in his system after 4 hours?
c.) BONUS: Approximately how long will it take for there to be only 5 mg of caffeine left

Answers

Answer 1
A. Y=k*x
K=23/100=0.23
Y=0.23*x (x is time by an hour)

B. X=4
Y= 0.23*4 = 0.92 mg

C. 5 = 0.23*x
5/0.23= 21.7 hour

Related Questions

I need help if you can help me I would really appreciate it

Answers

Answer:

A. f(x) = −2|x| + 1

Step-by-step explanation:

Can you put a picture

Which Expression is a factor of 16a2 − 25

Answers

Answer:

should be (4a-5)x(4a+5)

Step-by-step explanation:

g(x) = 5x - 12x2 + 3

Answers

g(x)=5x-21

This is the simplified one I didn’t know if you needed it graphed or something

The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

g(x) = 5x - 12x² + 3

Then the function can be written as

g(x) = - 12x² + 5x + 3

Then the factor of the function will be

g(x) = 0

Then we have

   - 12x² + 5x + 3 = 0

       12x² - 5x - 3 = 0

12x² - 9x + 4x - 3 = 0

    (4x - 3)(3x + 1) = 0

                         x = -0.33 and 0.75

Then the graph of the equation will be given below.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.

Answers

Answer:

The sample proportion is p = 0.04.

Step-by-step explanation:

The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...

Sample of 200 pills.

Eight have failed to retain their full potency.

So the sample proportion is:

[tex]p = \frac{8}{200} = 0.04[/tex]

Which is equivalent to Square root 10 3/4 x
?

Answers

It’s that last one 8 square root 10^3x

Will give the brainiest!

Answers

Answer:

With speed of 18 feet per second the distance between the twins change.

Step-by-step explanation:

v1 is 10

v2 is -8

So, the difference is (10)-(-8)

which is 18.

Answer:

The distance of 2 feet with a speed of 10 feet per second.

Convert to slope intercept form 4x+5y=-20

Answers

Answer:

Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.

Step-by-step explanation:

Answer:

y = -4/5x - 4

Step-by-step explanation:

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

62.8 in scientific notation

Answers

Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

62/8
With a remainder

Answers

Answer:

7 and 6/8

Step-by-step explanation:

Answer:

Step 1: 8 times what equals the closest number to 62?

Answer: 8*7=56

Step 2: what do you have left oveR?

answer: 6

Step 3: put it together.

ANSWER: 7 with a remander of 6 (7.6)

Step-by-step explanation:

7.6

sorry if it took to long i wanted to show you how to do it so next time you know:)

Brainliest is appreciated:)

Have a great day mate!

What is the area of this circle?

Answers

Answer:

area = 28.26 in²

Step-by-step explanation:

area = 3²(π) = 9(3.14) = 28.26 in²

Answer:

28.27 in^2

Step-by-step explanation:

Area of a circle = pi*r^2

pi*9=28.27

1.) 154 × 654 =
2.) 578 × 493 =
3.) 300 × 542 =
4.) 387 × 539 =
5.) 396 × 648 =

Please answer ​

Answers

1. 100,716
2. 87,954
3. 162,600
4. 208,593
5. 256,608
1.) 100716
2.) 284954
3.) 162600
4.) 208593
5.) 256608

:)

christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$

Answers

Answer:

50 minus 27 is 23 so she has $23 more dollars left?

Step-by-step explanation:

3/10 times what equals 1

Answers

Answer:

10/3

hope this helps :)

pls help me answer this !!

Answers

We want our exponential function to look like

y = ab^x.

Let a = the initial y-value.

Our initial value is the first number given for f(x). So, a = 3.

Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.

We find b by division.

So, b = the next number divided by the previous.

So, b = 6/3 = 2.

We now plug in our values into the general formula above.

y = ab^x

Answer: y = (3)(2)^x

Find the measure of each angle in the triangle.
A. 30°, 60°, 90°
B. 190, 71°, 90°
C. 26°, 64°, 90°
D. 41°, 49°, 90°

Answers

Answer:

C. 26°, 64°, 90°

Step-by-step explanation:

Answer plz. Give an explanation so I know ur not just getting points so I dont report. Thank you!

Answers

Answer:

C

Step-by-step explanation:

Hey There!

The answer is C because x would equal what 42% of 12 would be if that makes sense

What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)

Answers

Answer:

A. y + 7 = 2/5(x + 4)

Step-by-step explanation:

gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7

so,

[tex] \rm y - y1 = m(x - x1)[/tex]

[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]

[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]

Can somebody please help me with this question

Answers

Answer:

An event can have a probability of 3/2  is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

PPT HELP !!!!!!!!!!!!11

Answers

Answer:

Step-by-step explanation:

a) 1 degrees Celsius (the line matches with that number)

b) -2 degrees Celsius

c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)

d) -0.5 degrees Celsius

e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)

I hope this makes sense and you understand it :)

Convert 20% into a fraction
ANSWER QUICKK​

Answers

Answer:

1/5.

Step-by-step explanation:

20%

20/100

20/20 / 100/20

= 1/5

---

Hope this helps!

Answer:

20/100 or 1/5

Step-by-step explanation:

Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25

hope it helps! :3

What is the surface area of the rectangular prism below?

Answers

Answer:

Step-by-step explanation:

The surface area of a rectangular prism calculator gives us the answer: A = 2 * l * w + 2 * l * h + 2 * w * h = 2 * 8 ft * 6 ft + 2 * 8 ft * 5 ft + 2 * 6 ft * 5 ft = 236 ft² .

does anyone know this

Answers

Answer:

1 4/5

Step-by-step explanation:

If someone can explain to me step by step please

Answers

Answer:

1/36 will be ur ans__________

Answer:

? = 36

Step-by-step explanation:

If you count all the options, there are 36 options/number combinations in all.

However, the only combination that would equal 12 is 6,6

This is because 6 + 6 = 12. No other numbers together would equal 12.

what is the y coordinate of 5, -6

Answers

The y co-ordinate is -6.

Answer plz. I'll get my points back if you put something random.

Answers

Answer:

D.

Step-by-step explanation:

Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.

A number line going from negative 3 to positive 5. A closed circle is at 2. Everything to the right of the circle is shaded. Which inequality is graphed? 2 < x 2 > x 2 Less-than-or-equal-to x 2 Greater-than-or-equal-to x

Answers

Answer:

2 Less-than-or-equal-to x

Step-by-step explanation:

Which polygon has the most sides?

decagon
20-gon
nonagon
dodecagon

Answers

Answer:

decagon = 10

nonagon = 9

dodecagon = 12

Step-by-step explanation:

Answer:

decagon = a plane figure with ten straight sides and angles.

20-gon = In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.

nonagon = a plane figure with nine straight sides and nine angles.

dodecagon = a plane figure with twelve sides.

Step-by-step explanation:

What is length of BC ?

Answers

Answer:

BC = 10

Step-by-step explanation:

Since this is an isosceles triangle

AC = BC

3x-5 = 2x

Subtract 3x from each side

3x-5-3x = 2x-3x

-5 = -x

Multiply each side by -1

5 =x

BC = 2x

     =2 *5

BC =10

In exercises 4-6, a survey reported that 235 of the 500 voters in a sample voted for candidate A and the rest voted for candidate B?

4. What percent of the voters in the sample voted for candidate A? What percent of the voters in the sample voted for candidate B?

5. What is the margin sampling error? Round your answer to the nearest tenth of a percent.

6. For each candidate, give an interval that is likely to contain the exact percent of all voters who voted for the candidate.

7. For #6, can you determine which candidate won? Explain.

Answers

4.

Total voters = 500

Number of voters that voted for candidate A = 235

Number of voters that voted for candidate B = 500 - 235 = 265

Percent of voters that voted for candidate A

= 235

500

× 100%

= 23500

500

= 47%

Percent of voters that voted for candidate B

= 265

500

× 100%

= 26500

500

= 53%

5.

Margin sample error = % of candidate B - 5 of candidate A

= 53% - 47%

= -/+ 6%

Margin sample error = + 6.0% or - 6.0%

6.

Candidate A interval

= 47 ± 0.5

= 46.5% or 47.5%

Candidate B interval

= 53±0.5

= 52.5% or 53.5%

7.

Candidate with the highest percentage win.

Therefore, candidate B won

X=8

THE DIRECTIONS ARE ON THE TOP

Answers

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula -->  y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.  

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

                                 So y = 5 × 8 = 40

                                       y = 40

9514 1404 393

Answer:

  7. y = 5x; y = 40

  8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

  k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

  y = 5x

For x=8, the value of y is found using the equation:

  y = 5(8) = 40

__

8. Same deal, different numbers.

  k = 6/18 = 1/3

  y = 1/3x . . . . . the equation

  y = 8/3 . . . . . y for x=8

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