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devlian [24]
3 years ago
6

What is equivalent to this equation 4^x+3=64

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer: 2^{(2x+6)}=2^6


Step-by-step explanation: We are given an exponential equation

4^{x+3}=64.

We need to convert it into it's equivalent equation.

Let us factor 4.

4 = 2 × 2

Therefore, 2 × 2 could be written as (2)^2.

Now, let us factor 64 in terms of 2's.

64 = 2 × 2× 2× 2× 2× 2 = 2^6.

Replacing 4 by 2^2 and 64 by 2^6 in original equation, we get

2^2^{(x+3)}=2^6

Distributing 2 over (x+3), we get

2^{(2x+6)}=2^6


Umnica [9.8K]3 years ago
4 0
<span><span> x-4/x3-64</span> </span>Final result :<span> x4 - 64x3 - 4 ————————————— x3 </span>
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Can somebody please put in the correct numbers in both sides of this table thanks!!!
Varvara68 [4.7K]

Answer:

10 tickets = 30$
20 = 60$
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40 = 120$
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5 0
2 years ago
What is 2x+3y=30 &amp; x+y=14<br> In elimination
puteri [66]

Answer:

x= 12 and y= 2

Step-by-step explanation:

First you would line up the equations so the x's and y's are on top of each other. Then you would multiply x+y=14 by 3 to give you 3x+3y=42. After that you subtract 2x-3y=30 and 3x+3y=42 to give you an answer of x=12. After that, you plug in x with 12 in the equation x+y=14. You subtract 12 from both sides to get an answer of 2. So ur solution is (12,2)

   

4 0
3 years ago
In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.
Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

3 0
3 years ago
What is the median of the following string of values?
Luba_88 [7]
The median is 52, so the answer would be B.
4 0
3 years ago
Read 2 more answers
if you save three pennies on January 1, six pennies on January 2, nine pennies on January 3, and continue this pattern for one y
Katarina [22]

Answer:

2003.85

Step-by-step explanation:

I realize I'm a year late, but the math of the previous answer was so terrible I'm honestly too horrified to let this be.

You have save by an increasing amount of 3 pennies per day. You start with 3 and build from that, each day, for 365 days. First, you must figure out what amount of pennies you shoved into your account on the final 365th day.

An= a1+(n-1)d

An=term you want

a1= term you begin with

n= term you want

d= constant amount

A_365= 3 + (365-1)*3

A_365= 1095

Arithmetic Sum: Sn = N/2 (a1 + an)

365/2 * (3 + 1095) = 200385.

This means you've invested a total of 200385 PENNIES after 365 days.

The question asks for dollars, not your rusting lincoln's.

As (I hope) you know, 1 Dollar = 100 pennies

200385 pennies/100 = 2003.85.

This means you have $2003.85 in your account by the conclusion of the 365th day.

4 0
3 years ago
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