Answer:
Step-by-step explanation:
18500 x 108.5=$2007250
Answer:
Amplitude:2, period:0.9 and phase shift:7
Step-by-step explanation:
In a function with the form y=Asin(Bx+c)+D, and given the function f(x) = –2sin (7x + 7), we get that:
A is the amplitude: 2
Period is given by 2pi/B, so 2pi/7=0.9
Phase shift is c: 7
The common ratio for the geometric sequence is :
<span>32</span>
Explanation:
<span>16,24,36,54</span>
We calculate the common ratio r:
r is obtained by dividing a term by its preceding term
1) <span><span>2416</span>=<span>32</span></span>
2) <span><span>3624</span>=<span>32</span></span>
The common ratio for the geometric sequence is :
<span><span>32</span></span>
<h3>
Answer: Choice B ![\frac{\sqrt{15}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D)
</h3>
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation
![\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Cright%29%5E2%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Then use the pythagorean trig identity to get
![\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\](https://tex.z-dn.net/?f=%5Csin%5E2%20%5Ctheta%20%2B%20%5Ccos%5E2%20%5Ctheta%20%3D%201%5C%5C%5C%5C%5Ccos%5E2%20%5Ctheta%20%3D%201-%5Csin%5E2%20%5Ctheta%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Csin%5E2%20%5Ctheta%7D%20%5C%20%5C%20%5C%20%5Ctext%7Bcosine%20is%20positive%20in%20Q1%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16%7D%7B16%7D-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16-1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B15%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B%5Csqrt%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%5C%5C%5C%5C)