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PIT_PIT [208]
2 years ago
11

HELPPPPPPPP!!!! In 1.6, we learned about rational exponents. In a rational exponent, the numerator is the power that the base of

the exponent is being raised to and the denominator is the root that is being taken of that base. If the numerator is odd, why is there only one root? ​
Mathematics
1 answer:
JulijaS [17]2 years ago
6 0
Because it is getting squared only once
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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
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<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


3 0
3 years ago
Read 2 more answers
A home improvement store advertises 50 square feet of flooring for $300.00 including a $100.00 installation fee. How much does e
dimulka [17.4K]
$6 . It will cost $6 because spending 6 dollars , 50 times will equal $300
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3 years ago
The temperature dropped 2 F every hour for 7 hours. What was the total number of
creativ13 [48]

Answer:

multiply 2 * 7 you get 14F

3 0
3 years ago
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Simplify the expression.<br><br><br> Write your answer without negative exponents.
Phoenix [80]

Answer:

-5/ (x^19 * y^12)

Step-by-step explanation:

-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)

15 and 3 have a GCF of 3.

-5x^-10 * y^-3 * x^-9 * y^-9/1

Reduce similar occurrences. *twice in a row*

-5x^(-10 + (-9)) * y^(-3 + (-9))/1

Remove extra signs *twice in a row*

-5x^(-10 - 9) * y^(-3 - 9)/1

Remove extraneous 1.

-5x^(-10 - 9) * y^(-3 - 9)

Add integers.

-5x^-19 * y^-12

Negative powers change multiplication to division.

-5 / (x^19 * y^12) is the final answer.

Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.

8 0
3 years ago
Suppose that z-scores come from a standard normal distribution. Use the Normal Probability Applet (Links to an external site.) t
Natalka [10]

Answer:

0.683

Step-by-step explanation:

We have to find P(-1<z<1).

For this purpose, we use normal distribution area table

P(-1<z<1)=P(-1<z<0)+(0<z<1)

Using normal area table and looking the value corresponds to 1.0, we get

P(-1<z<1)=0.3413+0.3413

P(-1<z<1)=0.6826

Rounding the answer to three decimal places

P(-1<z<1)=0.683

So, 68.3% of the z-scores will be between -1 an 1.

4 0
3 years ago
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