All categories

3 years ago

Simplify the expression below. (xy)^8

1 answer:

7 0

(xy)^8 is simplified by raising a product to a power, and then raising each factor to that power. this means your simplified expression is:
x^8 y^8
let me know if you have any other questions
:)

You might be interested in

Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.

ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120 = 1/ timetotal

5/120 = 1/time total Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

4 0

3 years ago

A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.

SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

$Slope (m) = \frac{y2-y1}{x2-x1}$

Plugging values in formula, we get

$m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.$

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0

3 years ago

Verify: sec^2x+tan^2x=2sec^2x-1

Jlenok [28]

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan²x = sec²x - 1

Consider left side

sec²x + tan²x

= sec²x + sec²x - 1

= 2sec²x - 1

= right side , thus verified

8 0

2 years ago

2/5 ÷ -2/5 plzz answer 20 points

Olegator [25]

Answer:

-0.04

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A chemist is using 333 milliliters of a solution of acid and water. If 19.6% of the solution is acid, how many milliliters of ac

sesenic [268]

65.27mm of acid is present in solution.

Step-by-step explanation:

Given,

Quantity of solution = 333mm

Acid Percentage = 19.6%

Quantity of acid = 19.6% of Quantity of Solution

$Quantity\ of\ acid=\frac{19.6}{100}*333\\Quantity\ of\ acid=\frac{6526.8}{100}\\Quantity\ of\ acid=65.27mm$

65.27mm of acid is present in solution.

Keywords: Percentage

Learn more about percentages at:

#LearnwithBrainly

3 0

3 years ago