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Nat2105 [25]
2 years ago
11

Dividing exponents in this equation

Mathematics
1 answer:
jeka942 years ago
8 0

Answer:

18x^5y

Step-by-step explanation:

Divide 36 by 2 first : 18

since you are dividing, you subtract the exponents:

x^8 - x^3= x^5

y^4-y^3= y^1 but you usually just write y

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A briefcase has a three- digit lock code that doesn't include zero as a digit. What is the probability that the lock code consis
storchak [24]

Answer:

1/21.

Step-by-step explanation:

There are 9 digits and the total number of permutations of 3 from 9 is 9P3

= 9!/6!  = 504.

There are 4 even digits so the number of permutations of 3 from these 4 is 4!  (4-3)!  = 4*3*2 = 24.

So the required probability =  24/504

= 1/21.

5 0
3 years ago
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one
Elan Coil [88]

Answer:

2^24 = 16,777,216 bacterias.

Step-by-step explanation:

So we start with 1 bacteria

after 1 hours: 2*1 = 2

after 2 hours: 2*2 = 2^2 = 4

after 3 hours: 2*2^2 = 2^3  

after n hours: 2^n  

Since one day has 24 hours we have n = 24 and total number of bacteria will

be:  2^24 = 16,777,216 bacterias.

5 0
3 years ago
the volume of a rectangular pyramid is 192 cubic units. if it's dimensions are reduced to one-fourth their original lemgth. what
vekshin1
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³

the answer is

3 units³

4 0
3 years ago
The distributive property combines blank and blank to make multiplying whole numbers simpler.
laila [671]
The distributive property combines multiplication with addition and multiplication with subtraction together in order to simplify the equation. It is named as such because the number outside of the open and close parenthesis are distributed to the terms inside. Say for example, the equation given is 5(2x - 3). According to the distributive property, you distribute 5 by multiplying to each of the terms inside the parentheses. The solution would be: 5*2x + 5*-3 = 10x - 15. As you can see, it involved multiplication with addition and subtraction. Generally, you just have to add all the terms while making sure you carry the sign of the integer along when you multiply them just as shown in my example.
3 0
3 years ago
The number of ounces in an unknown number of pounds. Let z= the variable.
earnstyle [38]

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

\frac{16   ounces}{1 pound} (z)

6 0
2 years ago
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