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
labwork [276]
2 years ago
13

1. Given that (27 ^ (n + 3))/(81 ^ (p - 1)) = 3 , express p in terms of h.​

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0

9514 1404 393

Answer:

  p = 3/4n +3

Step-by-step explanation:

Expressing the given equation in terms of powers of 3, we have ...

  (27^(n+3))/(81^(p-1)) = 3

  (3^3)^(n+3)/(3^4)^(p-1) = 3^1 . . . . as powers of 3

  3(n +3) -4(p -1) = 1 . . . . . . . . . . . . log base 3 (or, equate exponents)

  3n +9 -4p +4 = 1 . . . . . . . . . . . . . eliminate parentheses

  3n +12 = 4p . . . . . . . . . . . . . . . . add 4p -1

  p = 3/4n +3 . . . . . . . . . . divide by 4

You might be interested in
Find the measure of ∠1.<br><br> A. 240º<br> B. 40º<br> C. 140º<br> D. 70º
frez [133]
The answer is B because 140 plus 40 is 180
6 0
3 years ago
Read 2 more answers
What is the value of s ?
horrorfan [7]

Answer:

25 degrees

Step-by-step explanation:

vertical angle 63 make oposite lines form a 63 degree angle. You need to find s. Now subtract 38 from 63, so 63-38 = 25 degrees

6 0
2 years ago
Read 2 more answers
Fill in the blank and dropdown menus to form a true statement below.​
Pavlova-9 [17]

Answer:

It's polyhedron, not polygon

Because above figure has merely 10 sides.

so the polyhedron above has 10 sides, each of them has 20°.

so total degree in polyhedron is > 180(n-2)

>180(10-2)

> 180×8

> 1440

Step-by-step explanation:

Hope it helps you

5 0
3 years ago
A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solv
Ket [755]

Answer:747

Step-by-step explanation:

7 0
3 years ago
What is the difference quotient of the function g(x) = 4^x
lidiya [134]

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  \frac{g(x+h)-g(x)}{h}. To get an expression for  g(x+h), replace  x  with x + h.

For this question,

\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}

Factor  4^x out of the numerator.

\frac{4^x(4^h-1)}{h}

8 0
2 years ago
Other questions:
  • How to differentiate this function??<br> x = 3( 1 + sin^2 t) <br> Please help....
    14·2 answers
  • 81.54 is what percent of 75.5
    7·1 answer
  • In an aquarium, there are 6 large fish and 8 small fish. Half of the large fish are blue.
    10·2 answers
  • What is the reason for step 5?
    9·1 answer
  • 95% of 7-year-old children are between_________inches and________ inches tall.
    12·2 answers
  • A professional writer decides to judge the value of her laptop by the number of times she presses
    5·1 answer
  • NEED HELP ASAPPP PLS
    6·1 answer
  • P lease help me. I need fast results please!!!
    14·2 answers
  • A store sells posters. Each poster costs the same amount. During a sale, the store reduces the price of each poster by $1. 35. M
    7·2 answers
  • Paige is working on an art project. She draws two rectangles that are connected. The total area of the two rectangles is 56 cent
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!