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AfilCa [17]
2 years ago
6

Determine an equivalent algebraic monomial expression using the laws of exponents. Show your work.

Mathematics
1 answer:
Serga [27]2 years ago
4 0

The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

<h3>How to determine an equivalent algebraic monomial expression?</h3>

The expression is given as:

(-8a^5b)(3ab^4)

Multiply -8 and 3

So, we have:

(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)

Multiply a^5 and a (a^5 * a = a^6)

So, we have:

(-8a^5b)(3ab^4) = (-24a^6b)(b^4)

Multiply b and b^4

So, we have:

(-8a^5b)(3ab^4) = -24a^6b^5

Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Three times a number increased by ten is equal to twenty less than six times the number. Find the number
AysviL [449]

Let the number be x. "Three times a number increased by 10" is mathematically translated as

3x + 10

"is equal" is mathematically translated as twenty less than six times the number" is mathematically translated as

6x - 20

The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as

3x + 10 = 6x - 20

We now solve the above linear equation to find the number x

3x - 6x = - 20 - 10

- 3x = - 30

x = 10

Check answer

Three times a number increased by ten : 3 × 10 + 10 = 40

Twenty less than six times the number : 6 × 10 - 20 = 40

4 0
3 years ago
25 scores from all of the students who took the test. She sees that the mean score is 134 with a standard deviation of 6.0547. T
Tomtit [17]

Answer:

WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Step-by-step explanation:

The hypothesis :

H0 : σ = 13

H1 : σ < 13

Using the Chisquare Square statistic :

χ² = (n-1)*s²/σ²

Sample size, n = 25

s² = 6.0547²

σ² = 13²

χ² = (25 - 1)*6.0547² / 13²

χ² = 879.82541016 / 169

χ² = 5.206

The degree of freedom, df = 25 - 1 = 24

The Pvalue(5.206, 24) = 0.99981

Reject H0, if Pvalue < α ;

Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

7 0
3 years ago
What is 1/6 of $336 dollars. Can you please show me how to break it down
NeTakaya

Answer:

56

Step-by-step explanation:

so what you do is take 1/6 and multiply it by 336 and you get 56 which would be 1/6 of 336

7 0
3 years ago
A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a
myrzilka [38]
Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 * <span> <span> <span> 1.0932988468 </span> </span> </span>
Total = <span> <span> <span> 3,607.8</span></span></span>9


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3 years ago
Mr Carrillo's family bought lunch from Culvers. They also bought some sodas from
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