Answer:
slope = .09
Step-by-step explanation:
slope = change in y/ change in x
4.5 ft/ 50 ft
.09
Answer:
Solving the equation for all real solutions in simplest form.
we get 
Step-by-step explanation:
We need to solve the equation for all real solutions in simplest form.

First simplifying the equation:

Now, we can solve the equation using quadratic formula:

we have a = 1, b=-12 and c=12
Putting values in formula and finding values of x

So, we get value of z: z=10.9 or z=1.1
Solving the equation for all real solutions in simplest form.
we get 
Answer:
If you write a number as a fraction, that number's reciprocal is a fraction with the numerator and the denominator switched around. For example, the reciprocal of
4
5
is
5
4
. Some general rules to keep in mind:
-If the fraction has a
0
in the numerator, the reciprocal is undefined.
-If the fraction has a
0
in the denominator, the fraction itself is undefined. Thus it can't have a reciprocal.
-Any other fraction has exactly one reciprocal.
Finally, the reciprocal of a reciprocal is the original fraction. This means if you flip a fraction's numerator and denominator, and then flip them back, you get the number you started with.
Step-by-step explanation:
Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by 
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒
∝ ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.
The unit rate here is 2 pounds of trash in an hour. If two pounds of trash are picked up in an hour, we can multiply that by 3 and get that there will be 6 pounds picked up in 3 hours.