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Hunter-Best [27]
3 years ago
5

PLEASE HELP!!! Find the component form of the vector that translates P(4,5) to P'(-1,-6)

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

The component form will be:

  • (x, y) = (-5, -11)

Step-by-step explanation:

We need to find the component form of the vector that translates P(4,5) to P'(-1,-6).

It can be written as:

P(4, 5) → P'(4+x, -6+y) = P'(-1,-6)

Calculating 'x'

4 + x = -1

x = -1 - 4

x = -5

Calculatng 'y'

5 + y = -6

y = -6 - 5

y = -11

Thus, the component form will be:

  • (x, y) = (-5, -11)
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(4x^(4))^(2) without exponents
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Answer:

256x * 16

Step-by-step explanation:

(4x * 4x * 4) * (4x * 4x * 4 )

(16x * 4 ) * ( 16x *4)

16x * 16x = 256x

4 * 4 = 16

256x * 16

hope this helped a little

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3 0
3 years ago
I need to k ow how to do this
Ainat [17]
You just need to trace it without moving your pencil off the paper
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Write each rational number as a terminating decimal.<br> 1. 19/20<br> 2. -1/8<br> 3. 17/5
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19/20= 0.95
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The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to fi
frozen [14]

Answer:

<u>The equation would be:</u>

<u>p = 10,000 * (1 + 0.2)∧ t</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Current population of a town = 10,000 inhabitants

Growth rate of the population = 20% annually

2. Which equation could be used to find the population after T years?

p = Population of the town after t years

t = Number of years

We will use the following equation:

<u>p = 10,000 * (1 + 0.2)∧ t</u>

For example, let's calculate the population after 6 years, replacing with the real values, we have:

p = 10,000 * (1 + 0.2)⁶

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7 0
3 years ago
Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using
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Answer:

Range  = (237100, 292900)

Step-by-step explanation:

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P(|X - \mu | \le k \sigma )\ge 1  -\dfrac{1}{k^2}= 0.889

1  -\dfrac{1}{k^2}= 0.889

\dfrac{1}{k^2}= 1- 0.889

\dfrac{1}{k^2}=0.111

k = \sqrt{\dfrac{1}{0.111}}

k \simeq 3

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

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μ = 265000

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Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

3 0
3 years ago
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