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Tom [10]
4 years ago
10

Simplify. Rewrite the expression in the form of 4^n.(4^11)(4^-8)

Mathematics
2 answers:
NikAS [45]4 years ago
8 0
Add the exponents 
so answer is   4^(11+ -8)  = 11^3 Answer
Rus_ich [418]4 years ago
8 0

Answer:

4^{3}

Step-by-step explanation:

The given expression is

(4^{11})(4^{-8})

Notice that this expression is the product of two powers, to rewrite it, we need to use the following property

x^{m} \times x^{n}= x^{m+n}

Using this property, we have

(4^{11})(4^{-8})=4^{11-8}=4^{3}

Therefore, the answer is 4^{3}

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Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

Girl

Total

  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

             Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0
3 years ago
Find volume of a cone
never [62]

Answer:

volume = 261.79938779915 m3

Step-by-step explanation:

And rounded to nearest number is 261.8 mi3 or answer b.

7 0
3 years ago
Solve x 3+3(x+2)=-24​
gregori [183]

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

8 0
3 years ago
Read 2 more answers
Variation equation and determine the quantity indicated.
mr_godi [17]

Answer:

Step-by-step explanation:

Direct variation has the form y=kx, given k=7 and x=20

y=7(20)=140

8 0
3 years ago
That propertand of an arraand is still in the equation k (A + B) = kA + kB
Anarel [89]

Answer:

that propertand of an arraand is in the equation

select the appropriate response

c Transposition

6 0
4 years ago
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