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Olegator [25]
2 years ago
11

95 points Simplify (4^9/4^3)^5 Show your work for full credit

Mathematics
2 answers:
umka21 [38]2 years ago
7 0

Answer:

The answer is 4³⁰

Step-by-step explanation:

(4⁹/4³)⁵

Here, we will use the property

aᵐ/aⁿ = (aᵐ⁻ⁿ)

(4⁹⁻³)⁵ = (4⁶)⁵ = 4⁶*⁵ = 4³⁰

Thus, The answer is 4³⁰

 

<u>-TheUnknownScientist</u><u> 72</u>

dexar [7]2 years ago
3 0

Answer:

  • 4^{30}

Step-by-step explanation:

  • (4^9/4^3)^5=
  • (4^{9-3})^5=
  • (4^6)^5=
  • 4^{6*5}=
  • 4^{30}
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Please answer this correctly without making mistakes
sveta [45]

Answer:

2282 tablespoons

and 1 teaspoon

Step-by-step explanation:

8 0
3 years ago
-3(x+2)=12. solve for x
bagirrra123 [75]

Steps to solve:

-3(x + 2) = 12

~Distributive Property

(-3 * x) + (-3 * 2) = 12

~Simplify

-3x - 6 = 12

~Add 6 to both sides

-3x - 6 + 6 = 12 + 6

~Simplify

-3x = 18

~Divide -3 to both sides

-3x/-3 = 18/-3

~Simplify

x = -6

Best of Luck!

8 0
3 years ago
Read 2 more answers
4. ABCD below is a rectangle. BE=6x+2 and ED=4x+6. Find the length of AC.
Nikolay [14]

Answer:

28 units

Step-by-step explanation:

ABCD is a rectangle. AC and BD are diagonals intersecting at point E.

Diagonals of a rectangle bisect each other.

\therefore BE = ED

\therefore 6x + 2 = 4x + 6

\therefore 6x - 4x= 6-2

\therefore 2x= 4

\therefore x= \frac{4}{2}

\therefore x= 2

\therefore 6x + 2= 6*2+2= 12+2= 14

\therefore BE= 14\: units

\because BD = 2BE

\therefore BD = 2(14)= 28\: units

\because AC = BD (diagonals of a are equal in measure)

\therefore AC = 28\: units

8 0
3 years ago
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Alecsey [184]

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

Scores: 98, 78, 84, 75, 91

Required

The mean absolute deviation

First, calculate the mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{98+78+84+75+91}{5}

\bar x = \frac{426}{5}

\bar x = 85.2

The mean absolute deviation (M) is:

M = \frac{1}{n}\sum|x - \bar x|

So, we have:

M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)

M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)

Remove absolute brackets

M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)

M = \frac{1}{5}*37.2

M = 7.44

8 0
3 years ago
Pre calculus help please!!! Write the range of the function given in the graph in interval notion? I think the answer is B.
kirza4 [7]

Question 1: C. (-4, 8]

With B, I think you assumed since there are two separate lines for the function, there must be two separate ranges. Additionally, you state that the left one has a range from -4 to 3, each non-inclusive, which is incorrect as there is a solid point at y = 3. However, the -4 non-inclusive part is correct.

Basically, this is all one function therefore there should be a single range. Since as you can see on the graph, 8 is included, the new range should be (-4, 8]. The function extends from -4, non-inclusive, to 8, inclusive. Even though there is a gap between the two parts, it is a singular function and as a whole, both are considered when calculating the range.


Question 2: C, {x | x > 10}

You are correct! x = 10 is a vertical asymptote for this function - the function will never reach this value so you should not use the "greater than or equal to" sign.

6 0
3 years ago
Read 2 more answers
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