Answer:
$5 bill
Step-by-step explanation:
If Rhonda has $13 and she has a $5 bill and 3 $1 bills, then she has
5 + 3(1) + x = 13
5 + 3 + x = 13
8 + x = 13
x = 5.
The last bill must be a $5 bill to equal the remaining $5.
Answer:
![-18p^{5} -30p^{4} +6p^{3}](https://tex.z-dn.net/?f=-18p%5E%7B5%7D%20-30p%5E%7B4%7D%20%2B6p%5E%7B3%7D)
Step-by-step explanation:
![(-6p^{3} )(3p^2+5p-1)](https://tex.z-dn.net/?f=%28-6p%5E%7B3%7D%20%29%283p%5E2%2B5p-1%29)
![(-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)](https://tex.z-dn.net/?f=%28-6p%5E3%29%283p%5E2%29%2B%28-6p%5E3%29%285p%29%2B%28-6p%5E3%29%28-1%29)
![-18p^{5} -30p^{4} +6p^{3}](https://tex.z-dn.net/?f=-18p%5E%7B5%7D%20-30p%5E%7B4%7D%20%2B6p%5E%7B3%7D)
<em>hope this helps.....</em>
K=5
if you add 5 to f(x) it will move up five and become g(x)
Answer:
![Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})](https://tex.z-dn.net/?f=Y-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%20%28x%2B%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%7D%29)
Step-by-step explanation:
The equation of the curve is
![Y = sin^{-1}(7x)](https://tex.z-dn.net/?f=Y%20%3D%20sin%5E%7B-1%7D%287x%29)
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
![Y'=\frac{7}{\sqrt{1-49x^2} }](https://tex.z-dn.net/?f=Y%27%3D%5Cfrac%7B7%7D%7B%5Csqrt%7B1-49x%5E2%7D%20%7D)
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is ![x = \sqrt{\frac{1}{7} }](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%20%7D)
Then slope would accordingly be
![Y'=\frac{7}{\sqrt{1-49/49} }](https://tex.z-dn.net/?f=Y%27%3D%5Cfrac%7B7%7D%7B%5Csqrt%7B1-49%2F49%7D%20%7D)
= ∞
For,
, ![Y = sin^{-1}(7/7)= \pi/2](https://tex.z-dn.net/?f=Y%20%3D%20sin%5E%7B-1%7D%287%2F7%29%3D%20%5Cpi%2F2)
Equation of tangent line, in the point slope form, would be ![Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})](https://tex.z-dn.net/?f=Y-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%20%28x%2B%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%7D%29)
-|-3p|
-|-3(5)|
= -|-15|
= -(15)
= -15
The value of the expression when p = 5 is -15.