Answer:converge at 
Step-by-step explanation:
Given
Improper Integral I is given as

integration of
is -
![I=\left [ -\frac{1}{x}\right ]^{\infty}_3](https://tex.z-dn.net/?f=I%3D%5Cleft%20%5B%20-%5Cfrac%7B1%7D%7Bx%7D%5Cright%20%5D%5E%7B%5Cinfty%7D_3)
substituting value
![I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%20%5Cfrac%7B1%7D%7B%5Cinfty%20%7D-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=-\left [ 0-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%200-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)

so the value of integral converges at 
Answer:
15
Step-by-step explanation:
distance formula




15
Answer:
k = -3
Step-by-step explanation:
1) Simplify
5+20k+7k=28k+8
2) Combine the k's
5+27k=28k+8
3) Subtract 27k on both sides
5=k+8
4) Subtract 8 on both sides
-3=k or k= -3
Answer:
<h2>
A. ¹²/₅</h2>
Step-by-step explanation:
There is no solution for system of equations:
if: 
so first, we we need to transform the equations to the form where the coefficients at y will be the same:

Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂
5k = 12
÷5 ÷5
k = ¹²/₅
Answer:
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Step-by-step explanation:
Given



Required
Determine the hourly rate
First, we need to determine the ice cream sold


Next, we calculate the hourly rate:






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<em> -- Approximated</em>