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2 years ago

Simplify the expression. Write the answer without using parentheses or negative exponents.

1 answer:

5 0

$\frac{ (x^4 y^2)^5 }{ (x^2 y)^2 } =\frac{ x^{4*5} y ^{2*5} }{ x ^{2*2} y ^2 } =\frac{ x^{20} y ^{10} }{ x^4y^2 } = x^{20-4} *y^{10-2}= x^{16} *y^{8}$

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when janet runs her average step length is 36 inches. how many steps would she have to take to run 1 mile?

erica [24]

Answer:

Step-by-step explanation:

1 mile divided by 36 inches equals 1760 inches and if there are 30 inches in a step, we would divide 1760 by 30 and then the answer would be 58.6666666667 but if you don't need the decimal, we can take and round this to 59 and then we have our answer.

3 0

3 years ago

What is 9 over 10 as an decimal

iragen [17]

Answer: 0.9

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The time it takes you to get to campus varies inversely as your driving rate. averaging 20 miles per hour in terrible traffic,

Korvikt [17]

Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
k=25 miles
thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
t=25/55
t=5/11 hours

3 0

3 years ago

Each serving of oatmeal is 8 ounces how many servings are in a 5 lb bag of oats

Anit [1.1K]

There are 16 ounces in 1 pound: 5*16=80
80 ounces divided by 8 ounces gives you 10 8 ounce servings

3 0

2 years ago

Read 2 more answers

Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo

Anvisha [2.4K]

<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

B = Blake's starting position
F = finish line
C = the third unmarked point of the triangle

The locations of the points are

B = (-8,1)
C = (-6,-3)
F = (4,-2)

Use the distance formula to find the distance from B to C

$B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\$

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0

2 years ago