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Mila [183]
3 years ago
12

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Answer: quadratic

Constant term -6

Quadratic term -18x^2

Linear term -21x

Step-by-step explanation:

(3x+2)(-6x-3)=-18x^2-21x-6

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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
Two angels of a triangle measure 65 and 75. Which is not the measure of an exterior angle of the triangle
Andre45 [30]
An exterior angle is the sum of the two other interior angles 

<span>the three interior angles are 55 and 65 and 180-(55+65)=60 </span>

<span>so 60 + 55 = 115 </span>
<span>60 + 65 = 125 </span>
<span>65 + 55 = 120 
</span>
brainlest answer.
3 0
3 years ago
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
IrinaVladis [17]

Answer:

1875.6 in³

Step-by-step explanation:

(⅓×3.14×8²×12) + (⅔×3.14×8³)

1875.626667 in³

5 0
3 years ago
Help thanks !!!!!!!!!!!!!
Elden [556K]

Answer:

5:2

Step-by-step explanation:

There are 5 apples and 2 cherries. Put them together to get 5:2.

4 0
3 years ago
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What is 20% of $ a dollar and 50 Cent
raketka [301]
1.50x.20=.30
It's 30 cents
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3 years ago
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