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3 years ago

9

What is the value of expression : 8m - 2 when m = 4

1 answer:

sergij07 [2.7K]3 years ago

3 0

Answer:

30

Step-by-step explanation:

8*4 - 2 = 32 - 2 = 30

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3 years ago

Solve this -5-x=-3x-17

drek231 [11]

Answer:

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Step-by-step explanation:

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3 years ago

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wolverine [178]

Answer:

y=6x+4

Step-by-step explanation:

now the formula for slope-intercept is y=mx+b

Slope (aka m) is 6

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8 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,

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

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 :

<em>⇒ $d(t)=8sin(\pi t+c)$ </em> ------1

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

<em>⇒ $0=8sinc\\c=n\pi$ ------2</em>

where n is an integer ;

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

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

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

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

<em></em>

7 0

3 years ago

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m

Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46

- The sample mean after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

Cohen's d = $\frac{u2 - u1}{sd_p_o_o_l_e_d}$

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

$sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }$

- Assuming that population standard deviation and sample standard deviation are same:

SD_1 = SD_2 = σ = 4

- Then,

$sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4$

- The cohen's d can now be evaliated:

Cohen's d = $\frac{48 - 46}{4} = 0.5$

6 0

3 years ago