WILL GIVE BRAINLIEST The number of milligrams of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
When the number of milligrams reaches 6 , the drug is to be injected again. How much time is needed between injections?

Round your answer to the nearest tenth, and do not round any intermediate computations.

WILL GIVE BRAINLIEST The Number Of Milligrams Of A Certain Drug That Is In A Patient's Bloodstream H

Answers

Answer 1

Answer:

3.6 hours

Step-by-step explanation:

[tex]D(h) = 25 {e}^{ - 0.4h} \\ \\ \implies \: 6 = 25 {e}^{ - 0.4h} \\ \\ \implies \: \frac{6}{25} = {e}^{ - 0.4h} \\ \\ \implies \: 0.24 = {e}^{ - 0.4h} \\ Taking\: natural\: log\:both\: sides \\ In(0.24) = - 0.4h \: In\: e \\ \\ \implies \: -1.42711635564 = - 0.4h\\(\because\:In\:e=1) \\ \\ \implies \: h= \frac{-1.42711635564}{ - 0.4} \\ \\ \implies \: h = 3.5677908891 \\ \\ \implies \: h = 3.6 \: hours[/tex]


Related Questions

WILL GIVE BRAINLIEST Cruz's age is 3 years less than 9 times Cody's age. If Cody's age is x years, which expression best shows Cruz's age?

6x
9x – 3
x – 6
3x – 9

Answers

Answer:

B

Step-by-step explanation:

It is because since Cody's age is x years, 9 times x minus 3 is Cruz's age.

5(m+2)-m=2m+3

Please I need help

Answers

Answer:

m=-7/2

Step-by-step explanation:

 (5 • (m + 2) -  m) -  (2m + 3)  = 0

 2m + 7  = 0

3.1      Solve  :    2m+7 = 0

Subtract  7  from both sides of the equation :

                     2m = -7

Divide both sides of the equation by 2:

                    m = -7/2 = -3.500

Answer

5(m+2)-m=2m+3

5m+10-m=2m+3

5m-2m-m=-10+3

3m-m=-10+3

2m=-7

m= -7/2

m= -3.5

work out the value of x

Answers

Answer:

67.5°

Step-by-step explanation:

3x+X+90=360°(circle angle)

4x+90=360

4x=360-90

4x=270

X=270/4

X=67.5°

A circle has a radius of 7 m what is its circumference. Use 3.14 pi and do not round your answer be sure to include the correct units in your answer

Answers

good luck and good luck on your search new

Answer:

43.96

Step-by-step explanation:

Circumference formula = 2πr

2*3.14*7 = 43.96

Yw.

WHAT IS THE QUESTION HERE? PLS HELP ME!!

Answers

You are to choose the correct option in the drop down menu, mean is the answer

Answer:

The first one is spread

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Have a blessed day and remember to keep smiling!

How do I find leg sizes with hypotenuse given of a 45,90,45 triangle

Answers

Answer:

about 2.47487

Step-by-step explanation:

1. [tex]u\sqrt{2} =\frac{7}{2}[/tex]

2. [tex]u=\frac{7\sqrt{2} }{4}[/tex]

3. Simplify to about 2.47487

*the hypotenuse of a 45-45-90 triangle is always the leg length (x), root 2. Ex: leg=4, hypotenuse=4(root 2)

45 Points!! ASAP 1 QUESTIONS NEED HELP WITH PROBABILITY, NO SPAMS OR LINKS!!! THE FORMULA FOR THE AREA OF A CIRCLE IS ∏ R^2

Answers

Answer:

3.2%

Step-by-step explanation:

You want to find the area of the hole and the area of the board. The area of the board is 21x42 which is 882 inches squared. The circular hole has a radius of 3 inches so [tex]\pi[/tex]3² which is 9[tex]\pi[/tex].

Now put in calculator [tex]\frac{9\pi }{882}[/tex] which is pi over 98 which simplifies to 0.032.

16.4,1.64,1.6,16.099 greatest to least

Answers

Answer:

1.6, 1.64, 16.099, 16.4

Step-by-step explanation:

Add a 0.

1.60, 1.64, 16.099, 16.40

The ones are of lesser value because they only have one whole number, and the 16.099 is less than 16.40 because it has that 0 in front of the nines.

Sorry, I'm not the best at explaining.

Given the points (-9, 8) and (4, -1), find the rate of change between the points

Answers

Answer:

The RATE OF CHANGE of a function is the size of the change in the Y-axis variable compared to the size of the change in the X-axis variable

Formula: Y2-Y1/ X2-X1

Words: Change in Y over change in X.

Please help me!
This is due tomorrow ​

Answers

Answer: The area of the shaded region is 30 cm^2

Step-by-step explanation:

First, we recall the area for a rectangle and a triangle.

-Area for rectangle: A = L x W

-Area for triangle: A = 1/2 x b*h

Next, I find the area of the total region.

-12 cm x 4 cm = 48 cm^2

Then, I find the area for the non-shaded region (or the white triangle)

- A= 1/2 x 9*4

- A= 1/2 x 36

- A = 18 cm^2

Finally, I subtract the total area of the whole region from the non-shaded region ( or again white triangle)

- 48 minus 18 = 30 cm ^2

167,118,82,57,41 what is the next number

Answers

Answer:

32

Step-by-step explanation:

Hope this helps!

Factor the expression completely.
7x - 4x2

Answers

Answer:

x (7-4x)

factor x out of 7x-4x^2

A medicine instructs you to take 1 pill every 3.5 hours, and comes with 4 pills. How long will it last.?

Answers

Answer:

14 hours

Step-by-step explanation:

If you need to take 1 pill every 3.5 hours then this suggest that the effects of 1 pill lasts for 3.5 hours.

Therefore, if you take 4 pills then they will last: 4 x 3.5 = 14 hours

I need help with this question

Answers

The answer is 190 yup

Answer:

h = 16°

Step-by-step explanation:

The total angle of a straight line = 180°.

So we can say that 151° + x = 180°

180° - 151° = x

x = 29°

total angles of a triangle = 180°

∴ 118 + 29 + 2h + 1 = 180

⇒ 148° + 2h = 180°

⇒ 2h = 180° - 148°

⇒2h = 32°

⇒h = 32° ÷ 2

⇒ h = 16°

ann and betty shared a sum of money in the ratio 2:3. Ann received $120. what was betty share

Answers

if 2 ratio=$120 then you dividing by 2
than you get 1 ratio so
1 ratio=$60
she has 3 ratio
$60x3
she shared $180

[tex]\cfrac{\stackrel{Ann}{120}}{\underset{Betty}{b}}~~ = ~~\stackrel{ratio}{\cfrac{2}{3}}\implies 360=2b\implies \cfrac{360}{2}=b\implies 180=b[/tex]

-0.4(x+3)=4 answer this problem

Answers

Answer:

x = - 13

Step-by-step explanation:

- 0.4(x + 3) = 4 ( divide both sides by - 0.4 )

x + 3 = - 10 ( subtract 3 from both sides )

x = - 13

Answer: 2/1

Step-by-step explanation:

The exponential function f(x) = 45(1.34) models
choose one growth or decay
the rate of growth/decay is _______

Answers

Answer:

Step-by-step explanation:

Going up: growth

Going down: decay

[tex]f(x)=45(1.34)^x[/tex] shows a growth, and the rate of growth is 34%

Hope this helps!

The five children in Carmen’s family each have $4.75. If they put their money together to buy a present for their mother, how much money will they have to spend?

A. 19.00
B. 22.75
C. 23.75
D. 52.25

Answers

Answer:

C

Step-by-step explanation:

4.75 x 5= 23.75

Answer:

if you do 5 multiply it by the money they have u get 23.75 hope this helps

if i buy 2 chicken and 3 boxes of stuffing how much change will i get from 20 pound ? chicken is £2.65 sage onion stuffing is £1.15 per box

Answers

Answer: 11.25

So first you would do 2 x 2.65 to find the price of the chicken which is 5.3 so next we find the price of the stuffing 3x1.15 which is 3.45 so then we add them 5.3+3.45=8.75 so then we subtract that from 20 so 20-8.75 so our change is 11.25

let F(x) = x^2 + ax + b when a and b are integers, if F(3+√5) = 0 then what is value of F(4) ?​

please help me I don't know really!!!​

Answers

Answer:

Step-by-step explanation:

If you answer this you will get brainless

Answers

Answer:

B

Step-by-step explanation:

A doesn't repeat at all
B just repeats on the 3
C repeats on the 1 and 3
D repeats on the 5, 1, and 3

1 picture is b

2nd picture is b

3rd picture is  c

4th pic is d

Step-by-step explanation:

Need help with this question

Answers

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

AD = 14 + 8 = 22

[tex]\dfrac{AD}{AB}=\dfrac{DE}{BC}=\dfrac{AE}{AC}\\[/tex]

[tex]\dfrac{AD}{AB}=\dfrac{DE}{BC}\\\\\\\dfrac{22}{14}=\dfrac{DE}{10}\\\\\\\dfrac{22}{14}*10=DE\\\\\\DE = 15.71[/tex]

2(12+x) = 2x=24 simplify and show work

Answers

2x = 24
—. —
2. 2

24 divided by 2 = 12

x = 12

Answer:

No possible answer (unless the equal sign was supposed to be a plus sign, then see answer below)

Step-by-step explanation:

we can simplify the expression like such:

24 + 2x = 2x = 24

As you will notice 2x + 24 cannot equal 2x, or 24.

If the equals sign was a typo and was meant to be a plus sign then the answer is all real numbers.

2(12 + x) can be broken down to (2*12) + (2*x) which equals 2x + 24.

Then this equals the other side of the equation meaning that it doesn't matter what x equals the equation is always equal.

A human baby weighs 7 lbs and 8 oz. at birth. After one month, she weighs 10 lbs and 3 oz. How much more does she weigh one month after birth?

Answers

Answer:

she weighs 2lbs 11oz more one month after birth

Step-by-step explanation:

Please answer soon (40 Points)

Answers

Answer:

-99g - 54

Step-by-step explanation:

-9*11g = -99g

-9*6= -54

So, it is -99g - 54

Hope this helps!

A case of soda costs $3.50 with tax. Mr. Gardner has $30 he can spend on soda for the Mountaineer Market. How many cases can he buy? cases of soda

Answers

Answer:

he can buy 8!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I don't know if this is mathematically correct ways to solve this but here's how I did it: I divided 30 by 3.50 and got 8.57... so then I just mentally concluded that he can buy 8

Mr. Thompson sold 247 meals on tuesday at his restaurant. He sold 516 meals on wednesday. What is the difference between the numbers of meals mr. Thompson sold on these two days?.

Answers

Day 1: 247 Meals
Day 2:516 Meals
516-247=269

The base of a parallelogram measure 1 m 60 cm and height is 75 cm find the area in m square

Answers

The area of the parallelogram is 1.2 m²

Answer:

1.44 meters squared

Step-by-step explanation:

area = h · b

1.60 * 0.75 = 1.2

1.2 * 1.2 ( to find area in m square ) = 1.44

Convert 6 gallons to quarts. There are 4 quarts in a gallon

Answers

Answer: A. 24 Quarts

Step-by-step explanation:  6*4=24

|-13\ = -(-13)
True False?

Answers

Answer:

This statement is true.

Step-by-step explanation:

The absolute value is how far the number is from zero, so how many steps will it take on a number line to get from that particular number to zero?

Since you can't have negative steps, The -13 in absolute value would be 13.

The -(-13) is the same thing as saying  -1 ( -13 ). Since negative times a negative is a positive, 13=13 is a true statement.

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