Answer:
C) Horizontal compression
Step-by-step explanation:
Since, if y = f(x) is a function,
Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.
Also, y = f(bx) gives a horizontal stretch when 0 < b < 1 and gives a horizontal compression if b > 1.
Here,
The given parent function is,
f(x) = 2x
And, 3 > 1
Thus, by the above statements,
f(3x) will give a horizontal compression.
Hence, Option C is correct.
Answer:
128 seconds
Step-by-step explanation:
The sun subtends an angle
rad
Angular velocity equation is ![\omega = \frac{\theta}{t}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B%5Ctheta%7D%7Bt%7D%20)
where
is angular velocity and t is time.
Earth spins at a rate of :
rad/s
Isolating time (t) from angular velocity equation gives:
![\omega = \frac{\theta}{t}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B%5Ctheta%7D%7Bt%7D%20)
![t = \frac{\theta}{\omega}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B%5Comega%7D%20)
![t = \frac{9.28\times10^{-3}}{7.27221\times10^{-5}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B9.28%5Ctimes10%5E%7B-3%7D%7D%7B7.27221%5Ctimes10%5E%7B-5%7D%7D)
![t = 128 s](https://tex.z-dn.net/?f=t%20%3D%20128%20s)
Answer:
Step-by-step explanation:
1) Surface area of a square = s*s = 12*12 = 144 in
2) Surface area of a Cone = A=πr(r+h2+r2) = 3.142*4(4+22*2+4*2) = 351.904 cm^2
3) S.A of a Cylinder =2πrh+2πr2 = 2*3.142*2*14 + 2*3.142*2*2 = 201.088 m^2
4) S.A of a square Pyramid = a^2 + 2a squareroot (a^2/4 + h^2) = 516.5m^2
5) S.A of a Sphere = 4*pie*r^2 = 4* 3.142*15^2 = 2827.8mm^2
Answer:
1. 700
2. $157.50
3. $857.50
Step-by-step explanation:
Regular pay is calculated by taking 40 hours x $17.50 to get $700.
Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50
Gross pay would be adding these two amounts together.
Answer:
It should be C) 11+ 3 5/8
Step-by-step explanation: