1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mote1985 [20]
3 years ago
5

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 e^{-0.173h}

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10e^{-0.173*1}

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 e^{-0.173*4}

M(4)=10(0.50057)

M(4) =5.0057 milligrams

You might be interested in
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
3 years ago
6, 12, 18 and 24 are the first four multiples of 6.<br><br> What are the next 2 multiples?
kondor19780726 [428]

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

3 0
3 years ago
How do you get to the point (-3.4)? *
kaheart [24]

Answer:

3 down, 4 up

Step-by-step explanation:

-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.

Always start with you X coordinate. Here is a tip to help you (X, Y)

7 0
3 years ago
9x + 26 + 7x - 17 = 2x + (-3x) + 5x<br><br> 16x + 9 = 0<br> 16x + 11 = 4x<br> 16x + 9 = 4x
zzz [600]

Answer:

C. 16x+9=4x

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Twelve diminished by six times a number
Vilka [71]

<span>Twelve diminished by six times a number</span>

<span> </span>

<span>12 - 6x </span>

3 0
3 years ago
Other questions:
  • What is the z score of a value that is 2.08 standard deviations greater than the mean
    12·1 answer
  • A group of students have 91 cents in dime and pennies. They divided the dimes evenly and they divided the pennies evenly.
    5·1 answer
  • The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet
    7·1 answer
  • I need help <br> 22 points to whoever helps me
    11·1 answer
  • 1. solve for x: 2(x+2) + 3(x-1) = 3x + 7 +
    7·1 answer
  • How many times does 88 go into 382?
    13·2 answers
  • HELLLPPP!!!
    8·1 answer
  • 10 POINTS!!!
    11·2 answers
  • 7x+1.1=-3.8 ffffffffffffffffff
    7·1 answer
  • A rectangle has an area of 48 square feet and a length of 12 feet
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!