Answer:
94.28 inches/second.
Step-by-step explanation:
The length of the circumference of the circular path with 10 inches radius is =
inches.
Now, the point on the edge of the wheel moves by 3 revolutions in 2 seconds.
So, in 2 seconds the point moves a linear distance of (3 × 62.85) = 188.57 inches.
Therefore, the linear velocity of the point in inches per second is
inches per second.
(Answer)
By taking a common factor, we will see that the equivalent expression is:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
<h3>
How to find the equivalent expression?</h3>
Here we start with the expression:
![5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}](https://tex.z-dn.net/?f=5%2A%5Csqrt%5B3%5D%7B6c%7D%20%2B%207%2A%5Csqrt%5B3%5D%7B6c%7D)
Notice that if we define:
![\sqrt[3]{6c} = u](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6c%7D%20%3D%20u)
We can rewrite our expression as:

Now we can take the common factor u to write:

Now if we replace u y the cubic root, we will get:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
So the correct option is the third one.
If you want to learn more about expressions:
brainly.com/question/2972832
#SPJ1
Answer:
- rate of change: $8 per hour; the per-hour rental charge
- initial value: $75; the deposit on the machine
Step-by-step explanation:
The cost to rent the machine is given as ...
total cost = deposit + ($8 /hour)×(number of hours)
The cost for 5 hours is given ans $115, so we have ...
115 = deposit + 8(5)
75 = deposit . . . . . . . . subtract 40
__
The "rate of change" is given as $8 per hour, the hourly rental charge.
The "initial value" is called <em>the deposit</em>. It is found to be $75.
<h2 /><h2>

</h2>
Multiply 1 & 2 from 3 and 4 respectively and add to get product.
<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>
Domain = set of input value
Range = set of output values
<h3>#1</h3>
- Domain: -2 < x ≤ 2 or (-2, 2]
- Range: -4 < y ≤ 4 or (-4, 4]
<h3>#2</h3>
- Domain: -5 ≤ x ≤ 1 or [-5, 1]
- Range: -1 ≤ y ≤ 5 or [-1, 5]
<h3>#3</h3>
- Domain: -4 < x < 4 or (-4, 4)
- Range: -1 ≤ y < 3 or [-1, 3)