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2 years ago

PLEASE HELP. I HAVE FIVE MINUTES TO ANSWER

Mathematics

1 answer:

xxMikexx [17]2 years ago

5 0

Answer:

8x² + 8x - 2

Step-by-step explanation:

We know that:

Perimeter of a rectangle = Sum of all its sides
Length of rectangle = 4x² - x + 2
Width of rectangle = 5x - 3

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

Solution:

Perimeter of a rectangle = Sum of all its sides
=> 2[{4x² - x + 2} + {5x - 3}] = Perimeter
=> 2[4x² - x + 2 + 5x - 3] = Perimeter
=> 2[4x² + {-x + 5x} + {2 - 3}]
=> 2[4x² + 4x - 1]
=> 8x² + 8x - 2

Hence, the perimeter of the rectangle is 8x² + 8x - 2.

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He relationship between rectangular and rotational coordinates can be represented by the vector equation: r = xi +yj = rcos(theta)i+rsin(theta)j What values in radians makes x minimum y maximum and x = -y Ans : x minimum = -r when theta = 180 degrees + any multiple of 360 degrees y minimum = -r when theta = 270 degrees + any multiple of 360 degrees x = -y when theta = 135 degrees + any multiple of 180 degrees.

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4 years ago

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ. $e^{-\lambda.x}$

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

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(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - $e^{-0.0143.100}$

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Probability of distance at most 200:

F(200) = 1 - $e^{-0.0143.200}$

F(200) = 0.94

Probability of distance between 100 and 200:

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F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

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E(X) = $\frac{1}{0.0143}$

E(X) = 69.93

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σ = $\sqrt{\frac{1}{0.0143^{2}} }$

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - $e^{-0.0143*209.79}$ )

P(X > 209.79) = 0.0503

P(X≤m) = 0.5

$\int\limits^m_0 f({x}) \, dx$ = 0.5

$\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx$ = 0.5

$\lambda.\frac{e^{-\lambda.x}}{-\lambda}$ = $-e^{-\lambda.x} + e^{0}$

$1 - e^{-\lambda.m}$ = 0.5

$-e^{-\lambda.m}$ = - 0.5

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4 years ago

The price of a technology stock has risen to $9.64. Yesterday’s price was $9.55. Find the percentage

marshall27 [118]

Answer:

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3 years ago

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Nina [5.8K]

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3 years ago

Read 2 more answers

I need help please ASAP im gonna fail if i dont get right will give 51 points

evablogger [386]

1. x = 20 , x² = 400 and x³ = 8000

2. x = 7 , x² = 49 and x³ = 343

Step-by-step explanation:

Given values are;

2000, 7, 400, 20, 4000, 200

We have to find x, x² and x³.

Part 1:

$x^3=8000$

We will take cube root to find x.

$\sqrt[3]{x^3} =\sqrt[3]{8000}$

$x=20$

Now, we will take square;

$(x)^2=(20)^2\\x^2=400$

Therefore;

x = 20 , x² = 400 and x³ = 8000

Part 2:

x² = 49 , x³ = 343

Taking square root on x²

$\sqrt{x^2}=\sqrt{49}\\x=7$

Therefore;

x = 7 , x² = 49 and x³ = 343

Keywords: cube root, square root

Learn more about cube root at:

#LearnwithBrainly

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4 years ago