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Leona [35]
2 years ago
7

Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7 Show your work

Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

Answer:

Step-by-step explanation:

The square root is possible only if y≤0

if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0

if y≤0 can be rewritten as:

3(-27x^2y^7)^1/2

or if we want simplify the expression:

3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y) ^1/2

we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive

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A rectangle that has a width of 18 inches and a length of 36 inches has a diagonal of 43 inches. True or false
astra-53 [7]

Answer:

fals it is smaller than that

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3 years ago
A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\  \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\  \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\  \\ y(y-7) = 13(2y-7) \\  \\ y^2-33y+91 = 0 \\  \\ y = 29.96 \\  \\ x = y-7 = 29.96-7 = 22.96
Rounded to nearest tenth gives:
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6 0
3 years ago
I don’t understand need help
RideAnS [48]

Answer: Choice D

(a-e)/f

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

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

8 0
2 years ago
Use decimals to give the ordered pair for point U. Remember to putyour odered pairs in parenthesis.
Gnoma [55]

Answer:

(0,2.5)

Step-by-step explanation:

3 0
3 years ago
The table shows the relationship
Airida [17]

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

  • Change in weight per day of hibernation = - 0.03
  • Change in weight for 115 days = - 3.45 ounces

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

  • y = - 0.03x + 0
  • y = change in weight
  • x = number of days of hibernation
  • Intercept = 0
  • Slope = -0.03

  • The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.

  • Using the regression equation, substitute, the vlaue of x = 115
  • -0.03(115) + 0 = - 3.45

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

Learn more :brainly.com/question/18405415

8 0
1 year ago
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