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Semmy [17]
3 years ago
13

Simplify 81^5=3^w and find w

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

w = 20

Step-by-step explanation:

<u>Step 1:  Find common bases</u>

81^5 = 3^w

81 → 3 * 3 * 3 * 3 → 3^4

Therefore, 81 = 3^4

81^5 → 3^(^4^)^*^5 → 3^2^0

So... 3^2^0 = 3^w

Since same base now, we can evaluate the exponents by themselves.

20 = w

Answer:  w = 20

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Andreas93 [3]

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We can find the amount of months needed by replacing the t with a different number, and whichever numbers makes the equation true, is the correct response.

After doing this, we know that 3 months is the correct response.

So, 80,000(3/4)^t = 33,750, and 3 months are the correct responses.


4 0
3 years ago
In the plane, Ine kis parallel to the line with equation y = 7x + 5 . Which of the following could be an equation of line k?
Lilit [14]

Answer:

see the explanation

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

In this problem we have

y=7x+5

This is the equation of a line in slope intercept form

where

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b=5 ---> is the y-intercept

therefore

Any equation with a slope 7 and y-intercept different of 5 could be the equation of the line k

Note If the slope is 7 and the y-intercept is 5 we have  identical lines not parallel lines

4 0
4 years ago
Read 2 more answers
How would it look like if you graphed this equation. y = 2x - 2
Anastaziya [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
How do I solve this problem because I don’t understand
Citrus2011 [14]
You are using a^2+b^2=c^2
since c is the hypotenuse

#1 the equation would be 16^2+b^2=34^2
16^2= 256
34^2= 1156
1156-256= 900
b^2=900 (now find square root of 900)
b= 30

You are now trying to find the hypotenuse or c in this so it is simpler

#2 equation - 4^2+2^2=c^2
16+4=c^2
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4 0
3 years ago
Name 3 U.S cities that has a zip code containing the first 5 digits of pi, In any order 3.1415
Stels [109]
I'm only aware of one --> Savannah, Georgia has the zip code of 31415.

hope this helps!
3 0
3 years ago
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