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3 years ago

Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)

1 answer:

6 0

Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)y = 10x
x = 10
x = y + 10
y = x + 10
The following equations that best represents the axis of symmetry for the parabola shown is x = 10.

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Which is the graph of y = 3^ cube root x+1-2

SVETLANKA909090 [29]

Answer:

Plot[-1 + 3^Surd[x, 3], {x, -20, 28}]

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3 years ago

A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

$d(t)$ is the displacement with respect to the mean position at any time $t$
$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

⇒ $d(t)=8sin(\pi t+c)$ ------1

since $d=0$ when $t=o$ ,

⇒ $0=8sinc\\c=n\pi$ ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .

⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

7 0

3 years ago

You are considering a cylindrical container with a diameter of 14 inches and a height of 18 inches. Find the volume of this cont

Vsevolod [243]

Volume of a cylinder is (pi) times radius to the second power times height. 
Radius is half of the diameter, which would be 7.
Volume would be 2770.88

3 0

3 years ago

Can someone help me?

nika2105 [10]

The answer would be B because range is the highest number take away the lowest number

8 0

3 years ago

P- 24/n = 30/100 What’s N? Z- n/4 = 18/72 What’s N?

Vilka [71]

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

8 0

3 years ago