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EastWind [94]
3 years ago
14

HELP! integer exponents and the product rule

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0
When m multiplying exponents with the same base, you add the exponents and keep the base. 9^4

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the number of buckets of paint n needed to paint a wall varies jointly with the total area a and the thickness t of the wall, an
Nat2105 [25]
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:

n = k · (a · t) / p

where k is the proportionality constant which we do not know.

We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:

k = (n · p) / (<span>a · t)
   = (5 </span>· 2) / (100 · 3) = 0.0333

Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:

a =  (n · p) / (k<span> · t)
   = (8 </span>· 2) / (0.0333 · 6)
   = 80 ft²

Please, note that we made sure to have the exact same units of measurements than the previous case.

Therefore, the correct answer is an area of 80 ft².
4 0
3 years ago
For f (x) = 9 * 81^x evaluate f(-1/2)
LekaFEV [45]

Step-by-step explanation:

f(x) = 9 * 81^x

When x = -1/2,

f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.

8 0
3 years ago
What is first three common multiples of 4,9,and 12​
wel

Answer:

36 is the answer of this question

4 0
3 years ago
Read 2 more answers
What is a percentage increase of 19.50 to 22.50
Inga [223]
To find the <span>percentaje</span> we need to <span>divided</span> the <span>tataol</span> by the amount we end up having.

22.50/19.50=1.15 
<span>then</span> we multiply by 100
115% 
Then to find the <span>percentaje</span> increase we subtract
115%-100= 15%
So it has an <span>increament</span> of 15%
4 0
3 years ago
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
2 years ago
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