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Murljashka [212]
3 years ago
10

N is an integer. Write the values of n such that -15 < 3 ≤ 6 Help please ❤️❤️

Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

n<2

Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

Hope this helps plz hit the crown :D

Blababa [14]3 years ago
8 0

Answer:

The values of 'n' such that -15 < 3n ≤ 6 will be:

-5

-5 can also be represented as: -4, -3, -2, -1, 0, 1, 2

Hence, the values of integer n will be:

  • -4, -3, -2, -1, 0, 1, 2

Thus,

-15

The line graph is also attached below.

Step-by-step explanation:

Given the expression

-15 < 3n ≤ 6

Lets us solve the inequality for n

-15

Divide all parts by n

\:-\frac{15}{3}

simplify

-5

Therefore, the values of 'n' such that -15 < 3n ≤ 6 will be:

-5

-5 can also be represented as: -4, -3, -2, -1, 0, 1, 2

Hence, the values of integer n will be:

  • -4, -3, -2, -1, 0, 1, 2

Thus,

-15

The line graph is also attached below.

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I NEED HELP ASAP write an equivalent unit rate to running 5/4 a mile in 9 minutes
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The unit rate is 0. 14 miles per minute.

Hence, option a is correct.

Step-by-step explanation:

Given

Running of 5/4 a mile in 9 minutes.

To determine

The unit rate = ?

Given that the running 5/4 a mile in 9 minutes.

i.e.

Miles covered in 9 minutes = 5/4 or 1.25 miles

Miles covered in 1 minute = 1.25/9

                                           = 0. 14 miles per minute

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3 years ago
A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

Therefore y = 9 + 7* sin(\pi * t / 15 - \pi  / 6) is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0
3 years ago
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