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Marina CMI [18]
3 years ago
10

Simplify 12^4 times 30^8 times 125^2 divided by 128^4 times 625^3 timed 27^6

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

25/2985984

Step-by-step explanation:

12^4*30^8*125^2/(128^4*625^3*27^6)

(2^2*3)^4*(2*3*5)^8*(5^3)^2/(2^7)^4*(5^4)^3*(3^3)^6)

(2^8*3^4*2^8*3^8*5^8*5^6)/(2^28*5^12*3^18)

2^(8+8-28)*3^(4+8-18)*5^(8+6-12)

2^-12*3^-6*5^2

25/(2^12*3^6)

25/2985984

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When a number is decreased by 3%, the result is 80. What is the original number to the nearest tenth?
zzz [600]

Answer:

98

Step-by-step explanation:

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The number of bacteria in a certain population increases according to a continuous exponential
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2 years ago
Fill in the missing portions of the function to rewrite g(x) = 3a^2 − 42a + 135 to reveal the zeros of the function. What are th
mariarad [96]

Answer:

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

g(x) = 3x^{2} - 42a + 135

So

a = 3, b = -42, c = 135

\bigtriangleup = (-42)^{2} - 4*3*135 = 144

x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9

x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5

So

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

8 0
3 years ago
Use two unit multipliers to convert 600 miles to inches. ( Do not multiply out.)
Sphinxa [80]

Answer:

(600 mi) × (5280 ft/mi) × (12 in/ft)

Step-by-step explanation:

A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.

You have units of miles. You know that ...

1 mile = 5280 feet

1 foot = 12 inches

You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.

Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:

(12 inches)/(1 foot)

When you multiplie these all out, units of miles and feet cancel, and you're left with inches.

_____

With the above conversion factors, you can write unit mulipliers of either ...

(5280 ft)/(1 mi) . . . to convert to feet

or

(1 mi)/(5280 ft) . . . to convert to miles.

5 0
3 years ago
To complete a task in 15 days a company needs 4 people each working for 8 hours per day. the company decides to have 5 people ea
Lilit [14]
It would take 16 days
explanation
if it takes 15 for 4 people to work 8 hours to complete the task, it would be a total of 480 hours. I multiplied 15x4x8. i multiplied 5x6 to get 30. I have to find the third value so i divided 30 from 480 to get 16.
3 0
3 years ago
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