PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

b. Does this situation represent exponential growth or decay? Explain how you know.

Answers

Answer 1

Answer:

a) y = 400(0.75) ^x

b) Exponential Decay

Step-by-step explanation:

An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.

a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

This situation above is an exponential decay situation.

The forms is given as

y = a(1 - r) ^x

Where

y = the total amount of ibuprofen

a = initial amount of ibuprofen = 400mg

r = Decay rate = 25%

x = Time in hours

Hence, the Equation is written as

y = 400(1 - 0.25) ^x

y = 400(0.75)^x

b. Does this situation represent exponential growth or decay? Explain how you know

This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.


Related Questions

Help will give crown

Answers

Answer:

x              y

2              9

3              7

4              5

5              3

Step-by-step explanation:

Answer:

9

7

5

3

The order is from up to down

The ratio of income Mr. John to his expenditure is 8 : 7. If his expenditure of one year is ₹ 1,26,000, what is his monthly income?

Answers

Answer:

₹ 12000 .

Step-by-step explanation:

It is given that,

The ratio of income Mr. John to his expenditure is 8 : 7

Expenditure = ₹ 1,26,000

Let the income is 8x and expenditure is 7x.

ATQ,

7x = 1,26,000

x = ₹ 18000

Yearly income = 8x

= 8(18000 )

= ₹ 144000

Monthly income,

[tex]M=\dfrac{144000}{12}\\\\=12000[/tex]

Hence, his monthly income is ₹ 12000 .

what 15 yards in feet

Answers

Answer:

45

Step-by-step explanation:

1 yard= 3 feet

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

What is the solution to the equation x/2 - 4 = 6?

x = 5

x = 20

x = 1

x = 10

Answers

Answer:

x=5

hope it helps.....

Answer:

I got the answer from the Tutor.

If the slope of y=2x+5 is changed to -2, how does the graph change?

Answers

you go down 2 and then right 5

The positive graph of y = 2x + 5 changes to the negative graph which moves downward from left to right when the slope is changed to -2.

What is Slope?

Slope of a line is defined as the difference in the y coordinates divided by the difference in the x coordinates of two points.

Slope of a line is usually denoted by the letter m.

First let us take the graph of y = 2x + 5.

Take x intercept and y intercept of this graph.

x intercept is the point where line touches X axis and y intercept is the point where line touches Y axis.

From the equation of the line, y intercept = 5

So we get a point (0, 5)

Now to find x intercept, let y = 0 in the equation, then x = -2.5

So we get another point (-2.5, 0)

So the line y = 2x + 5 passes through the points (0, 5) and (-2.5, 0).

Now if the slope changed to -2, equation becomes y = -2x + 5.

y intercept is same.

So one point of the line will be (0, 5)

To find x intercept, let y = 0 in the second equation, then x = 2.5

So the second line passes through the points (0, 5) and (2.5, 0)

That is, the graph which goes upward from left to right changed to the graph downward from left to right.

Hence, when the slope changed to -2, the graph goes downward from left to right.

To learn more about Slope, click:

https://brainly.com/question/3605446

#SPJ2

what is 53829-(-538)7902(6)=?

Answers

Answer:

25561485

Step-by-step explanation:

help me please and thank you

Answers

Answer:

4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars

u can get 5 pints. 8 pints will be 32 dollars.

Answer:

Per pint is $4

You get a .25 pint for 1 dollar

You get 5 pints for $20

It cost $32 for 8 pints of raspberries

Step-by-step explanation:

Once you find the unit rate you can multiply and divide depending on the question.

Which function is equivalent to f(x) = -4(x + 7) – 6?

Answers

Answer:

f(x) = - 4x - 34

Step-by-step explanation:

Given

f(x) = - 4(x + 7) - 6 ← distribute parenthesis

     = - 4x - 28 - 6 ← collect like terms

     = - 4x - 34

Write an equation to represent the following statement.
33 is 15 less than k.

Answers

Answer:

33 = k - 15

Step-by-step explanation:

This question can be solved but if your asking about equation 33 = k - 15 is it, because 33 is the total and 15 is less than k, whenever you see less than the number before is always the number telling the other number to subtract, such as 44 is 16 less than a number, the answer will be 44 = x - 16.

Is the answer a, b, c, or d

Answers

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

Help I can’t fail plz help

Answers

1 . Joshua
2 . 1/2
3 . 3/2

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

A circle has a radius of 12. Find the area of the sector whose central angle is 120°.

Answers

To find the area of a sector use the equation A=r^2 x a/2
When you plug in the radius and the central angle you should get an area of 150.8

Last year ten examiners spent 6 hours marking all the exam papers.

This year the same process took only three hours.

How many examiners were there this time if they marked the same set of papers at the same rate?

Answers

Answer: 20 examiners.

Step-by-step explanation:

We know that 10 examiners need 6 hours to mark all the papers.

Then if R is the rate at which one examiner can mark all the papers, we have the equation:

(10*R)*6h = marking all the papers = 1

(i will use the 1 to represent the complete task)

then we have:

(10*R)*6h = 1

60h*R = 1

R = 1/60h

This means that only one examiner would need 60 hours to mark all the papers.

This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:

(N*R)*3h = 1

(N*1/60h)*3h = 1

N*(3h/60h) = 1

N*(1/20) = 1

N = 1/(1/20) = 20

N = 20

This time, there are 20 examiners.

Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.

Answers

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

plsss I need help..i will remark ur answer as a brilliant answer​

Answers

Answer:

9.3. your ans. nabsbss

please help me........... what is the answer.

Answers

so first we need to substitute 3 into the expression
3^2 + 3 / 3 - 1
9 + 3 / 2
12 / 2 = 6
hope this helps! :)
Answer: 6
If x=3 we first need to find the value of all the x’s is this equation starting with x to the power of two
3•3=9
now we add 3 to nine since it is directly next to it
3+9=12
for the divisor we have x-1
(3)-1=2
so now that we have all the values we simply divide
12/2=6

Can someone help me ASAP !

Answers

Hope this helps! Have a nice day!

Solve it in algebraically
y= 4x – 11
y=-8x + 13

Answers

Answer:

y=4x−11

Step 1: Flip the equation.

4x−11=y

Step 2: Add 11 to both sides.

4x−11+11=y+11

4x=y+11

Step 3: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]  =  [tex]\frac{y+11}{4}[/tex]

x= [tex]\frac{1}{4} y[/tex] + [tex]\frac{11}{4}[/tex]

                                                                                                               

y=-8x + 13

Step 1: Flip the equation.

−8x+13=y

Step 2: Add -13 to both sides.

−8x+13+−13=y+−13

−8x=y−13

Step 3: Divide both sides by -8.

[tex]\frac{-8x}{8}[/tex]  =  [tex]\frac{y- 13}{-8}[/tex]

x= [tex]\frac{-1}{8}y[/tex]  +  [tex]\frac{13}{8}[/tex]

Which of the following describes a way to graph the function g(x) = -1/2 |x|?

Answers

I think you might didn’t get the rest or add a picture

What is the place the 8 is in in the number 38,341,097.54

Answers

It’s in the Millions place

if f(x)=5x^4+3, then what is the remainder when f(x) is divided by x-1?

Answers

8


This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.

Answer:

8

This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.

Step-by-step explanation:

9.) At the electronics store where you
sells for $459.20, what was the original
price of the tv

Answers

Answer:

558.7805

Step-by-step explanation:

Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below.

Answers

Complete Question

The government believes that​ higher-octane fuels result in better gas mileage for their car. To test this​ claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with​ 87-octane first or​92-octane first, and the driver did not know which fuel was in the tank.

We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.

Calculate the p-value.

Answer:

The p-value is  [tex]p-value = 0.0562[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  11

    The test statistics is  [tex]t = 1.74[/tex]

The null hypothesis is               [tex]H_o : \mu _1 = \mu_2[/tex]

The alternative hypothesis is    [tex]H_a : \mu _1 > \mu_2[/tex]

Here [tex]\mu_1[/tex] is the gas millage for  87-octane fuel while

Here [tex]\mu_2[/tex] is the gas millage for  92-octane fuel

Generally the degree of freedom is mathematically represented as

          [tex]df = n- 1[/tex]

           [tex]df =10[/tex]

Generally from the student t -distribution table  the probability of  t = 1.74 at a degree of freedom of  [tex]df =10[/tex] is

         [tex]p-value = P( t > 1.74) = 0.0562[/tex]

           

What is the scale factor used for the dilation?
A.1/6
B.1/3
C.3
D.6

Answers

Answer:

I would say the answer would be B if wrong sorry .

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

PLZZZZZZZZZZ HELP MEEEEEEEE IM BEING TIMED
PLZZZZ EXPLAIN THE ANSWER ALSO PLZZZZZZZZ

Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

1 gallon = 128 fluid ounces

Enter your answer and your work or explanation in the box provided.

Answers

Terrance will fill 16 cups if he fills up 2 gallons I answered on edge 2020

18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras?

Answers

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

[tex]x+y = 18[/tex] (1)

Masa de cada caja de peras

[tex]y\cdot m_{P} = 210[/tex] (2)

[tex]y = 6[/tex] (3)

Masa de caja de manzanas

[tex]m_{M} = m_{P}+7[/tex] (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

[tex]m_{P} = 35\,kg[/tex]

Por (4), encontramos que la masa de cada caja de manzanas es:

[tex]m_{M} = 35\,kg+7\,kg[/tex]

[tex]m_{M} = 42\,kg[/tex]

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

[tex]x = 18-y[/tex]

[tex]x = 12[/tex]

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

[tex]M = (12)\cdot (42\,kg)[/tex]

[tex]M = 504\,kg[/tex]

504 kilos de manzanas fueron llevados a la escuela.

Is 5x + 2 a numerical expression?​

Answers

Answer:

Yes

Step-by-step explanation:

Yes, this is a numerical expression because x represents a number.  This number is unknown, so x = 1 --- 5x (1) + 2 is equivalent to 5x + 2.  5x (1) +2 is a numerical expression, SO that means that 5x + 2 is a numerical expression.  

what is the lowest term of 27/45

Answers

Answer:

3/5

Step-by-step explanation:

[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]

Other Questions
To construct the hexagon, select the center point for the hexagon and select the option. Next, you need to feed in the radius as. What kind of reactions tend to be spontaneous?O A. Reactions that are endothermicB. Reactions that are exothermicC. Reactions that decrease in entropyD. Reactions that increase in enthalpy The figure shows the graph of y = -x + bx + c. Find the values of b and c. Which expression is equivalent to 2(d + 7)? ASAP PLEASE Given that x^2+(1/x^2) = 7, what is the value of x^4+(1/x^4) What is the best estimate for the percent equivalent to 3/8? HELPPPPPPP plesssss two part question. the question is on the picture How did this work to the continental armys advantage How did Columbuss voyages affect Native American lives?IN UR OWN WORDS Please help me please Which statement best describes the relationship between events in 1827 and the laws in the excerpt? A.) Meir y Teran learned that Texans were more American than Mexican, so the Mexican government tried to limit American influence in Texas. B.) After the Fredonian rebellion, Texans organized a new colonial grant to replace the one revoked by Mexico. C.) Centralists encouraged recruiting more American settlers to Texas to weaken the influence of Federalist Mexicans and Europeans. D.) Settlers at the Old Stone Fort signed a Declaration of Independence and formed an opposition government.Excerpt from the Articles of Law April 6, 1830:Article 7. Mexican families who voluntarily express a desire to become colonists will be furnished transportation, maintained for one year, and assigned the best of agricultural lands.Article 9. The Introduction of foreigners across the northern frontier is prohibited under any pretext whatsoever unless the said foreigners are provided with a passport issued by the agent of the republic at the point whence the said foreigner set out.Article 10. No change shall be made with respect to the slaves now in the states, but the Federal government and the government of each state shall most strictly enforce the colonization laws, and prevent the further introduction of slaves.Article 11 In accordance with the right reserved by the general congress in the seventh article of the law of , August 18, 1824, it is prohibited that emigrants, from nations bordering on this republic shall settle in the states or territory adjacent to their own nations. Consequently, all contracts not already completed and not in harmony with this law are suspended. Source: The Portal to Texas History What is the value of n that would make the following radical expression true?[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]n=? order the numbers from least to greatest What is most likely one of Churchill's main purposes when giving his speech?a.he wants to give british citizens confidence that they can beat the Germansb.he wants to raise awareness of hooters gruesome war tacticsc.he wants to inspire men and women to volunteer for military serviced.he wants to prompt america to join in the war effort please helpppppp ! im stuck :( A linear equation should have points that graph in a _____________ line. Greg walks at a speed of 3 miles per hour. What is his speed in feet per second? Describe how the Grinch changed throughout the story Help Pls! It's for my Math 4! Scalar Multiplication! How many kg moles of Sodium Sulphate will contain 10 kg ofSodium?