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Scilla [17]
3 years ago
5

Simplify the expression (3x^4/2y^3)^2

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0
Simplify the following:
((3 x^4 y^3)/2)^2
Multiply each exponent in (3 x^4 y^3)/2 by 2:
(3^2 x^(2×4) y^(2×3))/(2^2)
2×4 = 8:
(3^2 x^8 y^(2×3))/2^2
2×3 = 6:
(3^2 x^8 y^6)/2^2
2^2 = 4:
(3^2 x^8 y^6)/4
3^2 = 9:
Answer: (9 x^8 y^6)/4
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Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.​
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Answer:

The answer would be 5x-18=13

Step-by-step explanation:

When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.

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3 years ago
Solve please I don’t know how to do this.
nadya68 [22]

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Step-by-step explanation:

8 0
3 years ago
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What is the average rate of change for this function for the interval from x=3 to x=5?
SSSSS [86.1K]

Answer:

A. 49

Step-by-step explanation:

The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:

Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1}

x2 = 5

x1 = 3

f(x2) = f(5) = 125

f(x1) = f(3) = 27

Thus,

Average rate of change = \frac{125 - 27}{5 - 3}

= \frac{98}{2}

Average rate of change = 49

Average rate of change of the given table values representing an exponential function is A. 49.

4 0
3 years ago
Suppose these show number of hours each student in a class slept last night:
Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

<u><em>⇒ Given:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Suppose these show number of hours each student in a class slept last night:</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>What is the mean of these numbers (rounded to the nearest tenth)?</em>

<em>What is the median?</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>Mean: 6.9 hours; Median 7.5 hours</em>

<em>Mean: 7 hours; Median 6.9 hours</em>

<em>Mean: 7.2 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<u><em>⇒ Solution~:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Let's first define "Median".</em>

<em>You may be wondering "What is median/What is mean?".</em>

<em>When it asking for "Mean" It asking for the average.</em>

<em>When it asking for "Median" It asking for the middle number.</em>

<em>The formula for "Mean" is : M = sum of the terms/number of terms</em>

<em />

<em>According to the given we have;</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em />

<em>Let's first find the "Mean":</em>

<em>First, add all the number together.</em>

<em>8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>34 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>43+ 6 + 5 + 10 + 7 + 6 + 6</em>

<em>49+ 5 + 10 + 7 + 6 + 6</em>

<em>54+ 10 + 7 + 6 + 6</em>

<em>64 + 7 + 6 + 6</em>

<em>71+ 6 + 6</em>

<em>77 + 6</em>

<em>= 83</em>

<em>Now let's count how many numbers of hours each student in a class slept.</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12</em>

<em>Now 83 divide by 12:</em>

<em>83/12 = 6.9166666666667 {Round}</em>

<em>6.9166666666667 = 6.9</em>

<em>Therefore, Mean = 6.9</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Next, Let's find the "Median":</em>

<em>To find the Median, place the numbers in value order and find the middle.</em>

<em>⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Now we have them in order:</em>

<em>4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Then, we find the middle number:</em>

<u><em>4,</em></u><em> 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, </em><u><em>10</em></u>

<u><em>4, 5,</em></u><em> 6, 6, 6, 7, 7, 7, 8, 8, </em><u><em>9, 10</em></u>

<u><em>4, 5, 6,</em></u><em> 6, 6, 7, 7, 7, 8, </em><u><em>8, 9, 10</em></u>

<u><em>4, 5, 6, 6, </em></u><em>6, 7, 7, 7, </em><u><em>8, 8, 9, 10</em></u>

<u><em>4, 5, 6, 6, 6, </em></u><em>7, 7,</em><u><em> 7, 8, 8, 9, 10</em></u>

<em />

<em>Now You see that there two's 7 left.</em>

<em> If there is an even number of numbers add the two middles and divide by 2</em>

<em>Thus,</em>

<em>7 + 7 = 14</em>

<em>14/2 = 7</em>

<em>Therefore, Median = 7.</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>According to the solving above we can conclude that:</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em />

<u><em>xcookiex12</em></u>

<em>9/4/2022</em>

<em>#Learnwithxcookiex12</em>

4 0
1 year ago
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