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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.

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

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

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 .

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:

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

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.

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

Answer:

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

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

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]

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.

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.

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.  

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

Answer:

558.7805

Step-by-step explanation:

Hope this helps! Have a nice day!

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]

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.

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

Answer:

x=5

hope it helps.....

Answer:

I got the answer from the Tutor.

Answer:

3/5

Step-by-step explanation:

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

Answer:

9.3. your ans. nabsbss

Answer:

25561485

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

1 yard= 3 feet

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.

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.

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

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