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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

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A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

Distance ---> d     (in units of mi)

These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

t = 8 hr

The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

                        d = 456 mi

5 0
3 years ago
Mike withdrew $32 from his bank account. The transaction slip said his balance was $289.14. What was his previous balance?
Temka [501]
<span>His previous balance was $321.14
289.14 + 32 = 321.14

hope this helps
</span>
4 0
3 years ago
The 4 - pack is priced at £2.04
Archy [21]
The 4 Pack is the better value ;)
7 0
2 years ago
BRAINILEST IF ANSWEED QUICKLY AND CORRECT
r-ruslan [8.4K]

Answer:

The answer is B.It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

Given a coordinate grid shown with triangle of measurements with base 4 units and height also 4 units.

We have to find the area of triangle which can be calculated as

⇒  

                 =  

we have to choose the statement describes the area of the triangle evaluate above.

Option A: Not matched ∵equals to [area of rectangle of length 4 units width 2 units]=                                    

Option B: matched : given one-half the area of a square of side length 4 units.

⇒  

Option C : Not matched : It is twice the area of a rectangle of length 4 units and width 2 units

⇒

Option 4 : Not matched : It is twice the area of a square of side length 4 units.

⇒  

So, the correct option is B. It is one-half the area of a square of side length 4 units.

4 0
2 years ago
Read 2 more answers
Find the surface area of the cube shown.
Alja [10]

A=6a^2

A=6(5.5)^2

A=181.5

Hopefully I answered correctly.

8 0
3 years ago
Read 2 more answers
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