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1 year ago

(-8X^8)(8x^8) What is the answer to this?

Mathematics

1 answer:

jonny [76]1 year ago

4 0

Answer:

If you are trying to simplify this, the answer would be: $-64x^{10}$

Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

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A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b

nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. $hypotenuse^{2}=length^{2}+width^{2}$

i.e. $hypotenuse^{2}=80^{2}+36^{2}$

i.e. $hypotenuse^{2}=6400+1296$

i.e. $hypotenuse^{2}=7696$

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0

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

2 years ago

((write an equation using y=mx+b format))

butalik [34]

Answer: y = 2x + 5

Step-by-step explanation:

8 0

3 years ago

0.199 to the nearest hundredth.

RideAnS [48]

0.20 would be the answer.
The number places on a number go as follows starting at 0. and going to the right
ones, tenths, hundredth
This means that 0.00 is the hundredth place (the bolded 0). Since you round a 9 up one, this makes the 1 in the tenths place go to a 2 and the hundredth go to a 0

6 0

3 years ago

The possible values of x are given by x+8=<6. The greatest possible value of 7x is_____

kozerog [31]

Answer:

The possible values of x is given by $x\leq -2$ and they include: -2, -3, -4, -5, -6 and so on