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
Alborosie
3 years ago
14

What is the simplified form of -24m^5 n^4/ 8m^-7 n^-2

Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

  -3·m^12·n^6

Step-by-step explanation:

We assume you intend ...

  (-24·m^5·n^4)/(8·m^-7·n^-2)

  = (-24/8)·m^(5-(-7))·n^(4-(-2))

  = -3·m^12·n^6

_____

If you really intend what you have written, then it simplifies to ...

  (-24·m^5·n^4/8)·m^-7·n^-2 . . . . . note that all factors involving m and n are in the numerator

  = (-24/8)·m^(5-7)·n^(4-2) = -3n^2/m^2

You might be interested in
Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
576 bottles of water at the snack shop people bought 469 bottles of water how many bottles of water are there now
Vedmedyk [2.9K]
Subtract 469 from 576
576
-469
--------
107

6 0
3 years ago
Find dy/dx by implicit differentiation.
kow [346]

dy/dx by implicit differentiation is cos(πx)/sin(πy)

<h3>How to find dy/dx by implicit differentiation?</h3>

Since we have the equation

(sin(πx) + cos(πy)⁸ = 17, to find dy/dx, we differentiate implicitly.

So, [(sin(πx) + cos(πy)⁸ = 17]

d[(sin(πx) + cos(πy)⁸]/dx = d17/dx

d[(sin(πx) + cos(πy)⁸]/dx = 0

Let sin(πx) + cos(πy) = u

So, du⁸/dx = 0

du⁸/du × du/dx = 0

Since,

  • du⁸/du = 8u⁷ and
  • du/dx = d[sin(πx) + cos(πy)]/dx

= dsin(πx)/dx + dcos(πy)/dx

= dsin(πx)/dx + (dcos(πy)/dy × dy/dx)

= πcos(πx) - πsin(πy) × dy/dx

So, du⁸/dx = 0

du⁸/du × du/dx = 0

8u⁷ × [ πcos(πx) - πsin(πy) × dy/dx] = 0

8[(sin(πx) + cos(πy)]⁷ ×  (πcos(πx) - πsin(πy) × dy/dx) = 0

Since 8[(sin(πx) + cos(πy)]⁷ ≠ 0

(πcos(πx) - πsin(πy) × dy/dx) = 0

πcos(πx) = πsin(πy) × dy/dx

dy/dx = πcos(πx)/πsin(πy)

dy/dx = cos(πx)/sin(πy)

So, dy/dx by implicit differentiation is cos(πx)/sin(πy)

Learn more about implicit differentiation here:

brainly.com/question/25081524

#SPJ1

6 0
2 years ago
Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 *
Tom [10]
Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.

Then
1 \, y = (1 \, y)*(365 \,  \frac{d}{y} )*(24 \,  \frac{h}{d} )*(60 \,  \frac{min}{h} )*(60 \,  \frac{s}{min} )*(1000 \,  \frac{ms}{s} )

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365

Answer: 1000 * 60 * 60 * 24 * 365

4 0
3 years ago
Hellp! me thanks alot explain if u can
Musya8 [376]

Answer:

15 sides

Step-by-step explanation:

360/24 =15

Hope this helps!

3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the height of the triangle.
    11·2 answers
  • Can a radical ever be rational? Glve examples. Justify your answer using complete sentences.
    15·2 answers
  • Please help with the problem above
    6·1 answer
  • A hardcover book sells for $24 at the bookmark been pays a total of $25.02 for the book what is the sales tax rate
    15·1 answer
  • How do I find the area AND distance of this irregular shape?
    5·1 answer
  • Blades of grass grow 3.75 inches per month. if the grass continues to grow at this rate, how much will the grass grow in 6.25 mo
    10·2 answers
  • What is the perimeter of a square with side length: s cm
    12·1 answer
  • Geometry test helpppp
    13·2 answers
  • The photo is 2.5 inches by 3.5 inches. You decide to dilate the photo to 5 inches by 7 inches at the store. What is the scale fa
    11·2 answers
  • I need this now <br> *will give brainliest if helpful*<br> NO LINKS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!