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2 years ago

N is an integer with -5 < 2n <6 write down all the values of n?

Mathematics

1 answer:

Alika [10]2 years ago

7 0

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

$\dfrac{ -5}{2} < \dfrac{2n}{2}$

So, the values of n are less than 3 and more than (-5/2).

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If two halves of two whole 1/2 are added to two whole 1/2 the result is

jekas [21]

1 is the answer hope this helps

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3 years ago

Read 2 more answers

A jewelry box is b2 inches long, 3c2 inches wide, and 2c1 inches tall. Which of the following are correct? Select ALL that apply

Mariulka [41]

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Answer:

B, F

Step-by-step explanation:

The volume is the product of the dimensions:

V = LWH

V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))

V = 6b^2·c^3 . . . . . matches B

For b=3 and c=2, the volume is ...

V = 6(3^2)(2^3) = 6(9)(8)

V = 432 . . . . cubic inches . . . . matches F

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3 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$