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:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV
Step-by-step explanation:
For this case we can set a linear model like this:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV
It is an isosceles triangle because it has two equal sides and a hypotenuse.
We have given that
A triangle has 2 sides that equal 5 inches. The other side equals 4 inches.
We have to determine the type of the triangle
<h3>Which triangle has two sides that are equal?</h3>
An isosceles triangle can be drawn in many different ways. It can be drawn to have two equal sides and two equal angles or with two acute angles and one obtuse angle.
Therefore,It is an isosceles triangle because it has two equal sides and a hypotenuse.
To learn more about the triangle visit:
brainly.com/question/17335144
#SPJ1
Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values


The original expression is equal to 0 because anything multiplied by 0 is equal to 0. Solve inside the brackets for the possible answer choices to find what will equal 0.
Start with the first expression. Add 4 and negative 4 will become 0, and -1 times 0 is equal to 0. Let's solve for the others just to be sure.
In the second expression, solving inside the brackets gives you 8. -1 times 8 is equal to -8.
Adding 4 and negative 4 in the third expression leaves you with 0. But, 1 + 0 is equal to 1.
Adding negative 4 and negative 4 gives you the answer of -8, and -1 times -8 is equal to 8.
Your answer is the first expression, or A.