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Katen [24]
3 years ago
13

Tell whether the expressions in each pair are equivalent:p(4-4) and 0

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
P(4-4)=p(0)=0
0=0
true, they are equivilent
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Xby the power of 5 times y to the power of 6 over 2 by the power of -2 times xby the power of 0times x by the power of 9
mars1129 [50]

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"...  2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

\frac{x^5*y^6}{2^{-2}*x^0*x^9}

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

\frac{x^5*y^6}{2^{-2}*x^9}

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4

And we also know that:

a^n/a^m = a^(n - m)

Then:

\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}

And we can't simplify this anymore.

8 0
2 years ago
If you flip a coin 20 times how would you find the theoretical probability of tossing tails?
Andrej [43]
About 1/2 since there is only 2 sides to a coin.
8 0
3 years ago
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If 1/4 of the apples was given to zion and in total was 40 what fraction for the rest was oranges
Inessa05 [86]

Answer:

3/4 of the fruits were oranges.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
During the month of April, Dora kept track of the bogs she saw in her garden. She saw a ladybug on 23 days of the month. What is
grandymaker [24]
23/30 simplify from here
8 0
3 years ago
Consider a nine -year moving average used to smooth a time series that was first recorded in 1961. a. Which year serves as the f
kirill [66]

Answer:

  a.  1965

  b.  8 years

Step-by-step explanation:

For answers to questions like these it can work to consider the smallest possible dataset.

<h3>Dataset</h3>

For our purpose, consider the 9 years/values to be averaged to be ...

  1, 2, 3, 4, 5, 6, 7, 8 ,9

<h3>Observations</h3>

a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.

The first centered value is from the year 1961 +4 = 1965.

b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.

8 years of values are lost.

5 0
2 years ago
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