The amount (in milligrams) of a drug in a person's body following one dose is given
by an exponential decay function. Let () denote the amount of drug in the body at
time in hours after the dose was taken. In addition, suppose you know that (3) =
22.7 and (6) = 15.2.
a. Find a formula for in the form () =

, where you determine the values
of and exactly.
b. What is the size of the initial dose the person was given?
c. How much of the drug remains in the person's body 8 hours after the dose
was taken?
d. Estimate how long it will take until there is less than 1 mg of the drug
remaining in the body.
e. Compute the average rate of change of on the intervals [3,5],
[5,7], and [7,9]. Explain the meaning of the values you found, including
appropriate units. Write at least one additional sentence to explain any
overall trend(s) you observe in the average rate of change.

Answer:

E

Step-by-step explanation:

transferring the constant

making the coefficient of x^2 to be 1

then add the square of half the coefficient of x

take the square root of both sides

Answer:

A Power consists of two parts, (12x^4y^4)/(3x^2y) Exponent and Base, We are going to learn to identify components of a Power and to  12 x 4 y 43 x 2 y ​.

Step-by-step explanation:

Answer:

C) 9x

Step-by-step explanation:

a term is a single mathematical expression, all the other options are just parts of terms in the expression

Answer:

C.  

x ≈ 2.50

Step-by-step explanation:

The value of x in the given equation [tex]-3(-x) -6 = -3x+ 10[/tex] is 2.66

A line graph is a type of chart used to show information that changes over time. We plot line graphs using several points connected by straight lines. We also call it a line chart. The line graph comprises of two axes known as 'x' axis and 'y' axis. The horizontal axis is known as the x-axis.

According to the given question.

We have a equation

[tex]-3(-x)-6 = -3x +10[/tex]

To draw a graph for the above equation we have to simplify the given equation.

Therefore,

[tex]-3(-x) -6 = -3x + 10[/tex]

⇒ [tex]+3x-6 = -3x + 10[/tex]

⇒[tex]3x+3x = 10 + 6[/tex]

⇒ [tex]6x = 16[/tex]

⇒ [tex]x = \frac{16}{6}[/tex]

⇒ [tex]x = 2.66[/tex]

After solving the above equation for x we have,

x = 2.66

⇒ A line which is parallel to y axis.

Therefore, we draw a line graph at a point x = 2.66 which is parallel to y axis.

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A farmer had 305 horses and 454 cows. Which of the following is a good estimation of how many horses and cows he had altogether?

600 horses and cows

700 horses and cows

650 horses and cows

750 horses and cows

850 horses and cows

Which of the following is a good estimation of how many horses and cows he had altogether?

600 horses and cows

700 horses and cows

650 horses and cows

750 horses and cows

850 horses and cows

Here, We will simply add up the number of animals ( cows and horses ) and then we will round it off to it's nearest 'tens' places.

⇒ Total number of animals = number of horses + number of cows

Substituting the values given, We get,

⇒ Total number of animals = 305 + 454

⇒ Total number of animals = 759

Now, when we round it off to it's nearest 'tens' places, We get,

⇒ Round off 759 = 750

Since, We can see that, 4th option from the list of option given, is 750. Therefore 750 is the answer.

Answer: The length of the arc is 4.71

Step-by-step explanation:

135/360 × 2 × 3.14 × 2 = 4.71

Answer:

24 oil

60 onions

.36 potatoes

.4 milk

Step-by-step explanation: He wants to make 4 portions, 4 is one fourth of 16. Therefore if you multiply all the ingredients by one fourth you will get the amounts required for the new recipe.

Answer: triangular prism

Step-by-step explanation:

Answer:

puedes  o

Step-by-step explanation:

Answer: how do I delete my answer?

Step-by-step explanation.

Here's the solution,

=》 C + 112° = 180°

( they form linear pair )

=》 C = 180° - 112°

=》C = 68°

And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,

So,

=》B = C + 51°

=》B = 68° + 51°

=》B = 119°

Answer:

4x + 3 < 9

4x < 9-3

4x/4 <6/4

x=3/2

Step-by-step explanation:

(128) 3/7 =2/7 3/7

=3/2 =8

(88)= 48

(3:2)=4

sana po makatulong plss rate and heart ang follow plssssss

9514 1404 393

Answer:

  $5,500

Step-by-step explanation:

Let x represent the quantity loaned at 7%. Then the amount loaned at 17% is (15000-x), and the total interest is ...

  0.07x +0.17(15000 -x) = 2000

  -0.10x = -550 . . . . . . . . . collect terms, subtract 2550

  x = -550/-0.10 = 5500 . . . . divide by the coefficient of x

The bank loaned $5,500 at 7%.

Answer:

∠z is 79°

Step-by-step explanation:

Answer:

She served 12 hamburgers.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

Each hamburger weighs 2/3 of a pound. She bought 8 pounts. How many hamburgers is this?

2/3 pound - 1 hamburger

8 pounds - x hamburgers

Applying cross multiplication:

[tex]\frac{2x}{3} = 8[/tex]

[tex]x = \frac{8*3}{2}[/tex]

[tex]x = \frac{24}{2}[/tex]

[tex]x = 12[/tex]

She served 12 hamburgers.

Answer:

3

Step-by-step explanation:

If there is a negative sign in front of a number when trying to find absolute value, remove the negative sign. This is vice-versa if there is no negative sign. Have a Great Day and Hope this Helps :)

Answer: 3

Step-by-step explanation:

-3 is 3 spots away from the origin (0) when looking on a number line, and the absolute value is always the same number given(as a positive), even when it is negative

Answer:

32%

Step-by-step explanation:

The employer has paid 68% of you premium, so there is 100%-68% = 32% remaining

Answer:

y= -5/2+5

Step-by-step explanation:

Slope intercept form y=mx+b

y= -5/2(x-2)

y= -5/2x+10/2

y=-5/2x+5

Answer:

0.1666666 repeated

Step-by-step explanation:

Answer:

Total amount spend per month = $2,043

Step-by-step explanation:

Given:

Average monthly living expenses = $617

Average monthly fixed expenses = $1,108

Monthly share of annual expenses = $318

Find:

Total amount spend per month

Computation:

Total amount spend per month = Average monthly living expenses + Average monthly fixed expenses + Monthly share of annual expenses

Total amount spend per month = $617 + $1,108 + $338

Total amount spend per month = $2,043

Answer: answer is -4 5/12

Step-by-step explanation:

Answer:

-4  - 5/12, or option 3.

Step-by-step explanation:

Change the denominator of each fraction to a common denominator. In this situation, the common denominator between the three fractions is 12.

- 7  2/3 = - 7  8/12

- 5  1/2 = - 5  6/12

8  3/4 = 8  9/12

Add them together.

-7  8/12 - 5  6/12 + 8  9/12 =

First, add the whole numbers together.

-7 - 5 + 8 - 8/12 - 6/12 + 9/12 =

-12 + 8 - 8/12 - 6/12 + 9/12 =

-4 - 8/12 - 6/12 + 9/12 =

Now, add the numerators of the fractions together.

-4 + (-8 -6 + 9)/12

-4 + (-5)/12 =

-4  - 5/12

The answer is -4  - 5/12, or option 3.

Answer:

Step-by-step explanation:

Answer:

look at the picture i sent

Step-by-step explanation:

do not forget to round the answer

Answer:(x+9)(x-4)(x-3)

Answer:

The answer is, [tex]1,467.75cm^3[/tex]

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. It's measured in square units like cm2, m2, and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral. For instance: The area of a rectangle with sides of 3 cm and 4 cm is 12 cm2.

According to the question,

= 15×10.3×9.5

= [tex]1,467.75cm^3[/tex]

The location is [tex]1,467.75cm^3[/tex]

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Answer:

[tex]g( \sqrt{2} ) = \sin( \sqrt{2} ) \\ f(g( \sqrt{2} )) = {e}^{ \sin( \sqrt{2} ) } = 2.68=2.7

Answer:

D

Step-by-step explanation:

[tex]g(\sqrt{2})=\sin{\sqrt{2}}\\\\f(\sin{\sqrt{2}})=e^{\sin{\sqrt{2}}}\approx 2.7[/tex]

First plug [tex]\sqrt{2}[/tex] into the formula for g(x). Then plug that result into f(x).

The attached image shows a TI-83 calculation.  Make sure your calculator is in Radian mode, not degrees!

Answer:

The answer is:

10a-6b

*Can I have brainliest? I need it for a challenge.*

Step-by-step explanation:

kd      d d d d d .d d d d d d d d d d d d d . d d .d a da a d sa ds d s d  

Step-by-step explanation:

The hundredth place is the second number to the right of the decimal place (e.g., in ab.cd, where a, b, c, and d represent digits, the hundredth place is d).

When we round to the nearest hundredth, we remove all digits after the thousandth place. Then, if the thousandth place is 5 or greater, we remove it and add 0.01 (round up); if the thousandth place is 4 or lesser, we remove it (round down).

Thus:

50.30=50.30, as there is no thousandth place

50.20=50.20, same reasoning

56.90=56.90, same reasoning

49.50=49.50, same reasoning

51.10=51.10, same reasoning

30.00=30.00, same reasoning