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3 years ago

Simplify. Assume that no denominator is equal to zero.

Mathematics

2 answers:

nikklg [1K]3 years ago

8 0

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}$

exis [7]3 years ago

4 0

Answer:

c is the answer

Step-by-step explanation:

All work is shown and pictured

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You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the

igomit [66]

Answer:

Step-by-step explanation:

Given,

The time for set up the game = $5\frac{1}{6}$ minutes,

Also, the time for each level of game is $7\frac{1}{3\\}$ minutes,

If there are l levels of games,

Then the time taken in all levels of game = $(7\frac{1}{3}) l$ <em> </em>

Hence, the total time ( in minutes ) = Set up time + time in all level

= $5\frac{1}{6} +(7\frac{1}{3}) l$

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

= $5\frac{1}{6} +(7\frac{1}{3}) l\leq 60$

Which is the required inequality.

Option 'B' is correct.

5 0

2 years ago

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t

neonofarm [45]

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

7 0

3 years ago

Read 2 more answers

Which graph corresponds to the following inequality? A. B. C. D.

zlopas [31]

I can see the question but if you add a picture maybe i’ll understand it a little more

6 0

2 years ago

Use graphing to find the solutions to the system of equations.

Galina-37 [17]

In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.

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3 years ago

Is the following an algebraic expression: 18r + (r ÷ 8) - 13

avanturin [10]

Answer:

nah

Step-by-step explanation:

4 0

3 years ago