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2 years ago

The sum of n consecutive even numbers can be found using S=n2+n, where n > 2. What is the value of n when the sum is 156

1 answer:

Volgvan2 years ago

8 0

The sum of n consecutive even numbers can be found using S=n2+n, where n > 2. What is the value ofn when the sum is 156 - 3304678.

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A video store specializes in three types of movies: children's, American West, and horror. It's known that:

xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

$\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\$

Simplifying the system of equations, we have

$\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\$

$\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500$

$y&=500+100=600\\ z&=3(500)-600=900$

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0

1 year ago

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himselfin 40 minutes. That tas

Verizon [17]

Ummmmmmmmm i'd say its D

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2 years ago

Find the solutions to the equation below. Check all that apply. 4x2 + 4x + 1 = 0

Verizon [17]

Answer:

The solution for the given polynomial $4x^2 + 4x+ 1 = 0$ is $x = (\frac{-1}{2})$

Step-by-step explanation:

Here, the given quadratic equation is : $4x^2 + 4x+ 1 = 0$

Now, here solving the given equation by SPLITTING THE MIDDLE TERM:

$4x^2 + 4x+ 1 = 0 = 4x^2 + 2x+ 2x + 1 = 0\\\implies 2x( 2x + 1) + 1(2x + 1) = 0\\\implies (2x +1)(2x +1) = 0\\$

⇒ either (2x+1) = 0, or ( 2x + 1) = 0

⇒ x = -1/2 or x = -1/2

Here, in both the cases, the value of x is equal i.e x = -1/2

So, the given function has TWO IDENTICAL ROOTS.

Hence the solution for the given polynomial $4x^2 + 4x+ 1 = 0$ is $x = (\frac{-1}{2})$

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2 years ago

In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. S

Sergeeva-Olga [200]

So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more

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2 years ago

Philip ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday.

deff fn [24]

Answer:

2 7/8

Step-by-step explanation:

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2 years ago