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3 years ago

Multiply. Write the product as one power. a to the 8th power x a to the 5th power.

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

$\bf a^8\cdot a^5\impliedby \textit{same base \underline{a}, add the exponents}\implies a^{8+5}\implies a^{13}$

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Juanita has a bag of marbles. Without looking, she removes one marble, notes the color and replaces it. She repeats this process

Svetllana [295]

Given table:

color ----- Frequency

Red ------ 14

Green ----- 19

Blue -------- 21

Yellow ----- 16

Number of process repeated (trials) = 70 times

Probability (event) = number of times the event occurs / total number of trials

From the table we can see that the number of times she pick the blue marble is 21

Probability of picking a blue marble on next try = $\frac{21}{70}$ = $\frac{3}{10}$

6 0

3 years ago

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

Patricia can buy individual songs for $1.00 to download. Also, an entire album costs $10.00 to download. She can spend no more t

Burka [1]

The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below

<h3>Graph of Linear Inequality</h3>

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.

x + 10y ≤ 80

x ≥ 30

y ≤ 4

The graph of the inequalities is attached below

Learn more on graph of linear inequality here;

brainly.com/question/19443475

#SPJ1

4 0

1 year ago

Can anyone help me with these 2 queen

Elan Coil [88]

Answer

1st is yes

2nd is no

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A 12- ounce bag of birdseed cost $3.12. A 16-ounce bag of birdseed cost $3.84. Which is the better deal. How much money do you s

OlgaM077 [116]

Answer:

16oz bag, $0.32 saved

Step-by-step explanation:

3.12/12 = 0.26

3.84/16 = 0.24

For the 12-ounce bag, it would be $0.26 per ounce. For the 16-ounce bag, it would only be $0.24 per ounce.

16*0.26=4.16

4.16 - 3.84 = 0.32

$0.38 saved

6 0

3 years ago