Answer:
205 litres
Step-by-step explanation:
Given:
Volume of water is given as:
(in litres)
<em>m</em> is the time in minutes spent filling water in Eduardo's pool.
To find:
Volume of water in the pool after the water is filled for
minutes.
Solution:
Here, volume of water in the Pool (in litres) is given by the equation:
....... (1)
Where m is the time for which Eduardo fills the pool.
Here, we are also given that
m =
minutes =
minutes
And we have to find the value of V after
minutes.
Let us put the value of m as
minutes in the equation (1) to find the value of V.

So, the volume of water in the pool after
minutes is <em>205 litres.</em>
Answer:
28
Step-by-step explanation:
V = 4 * 1 * b = 8
b = 2
SA = 2(4 + 1) * 2 + 2(4)1)
SA = 28
Answer: 28 ft²
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Answer:

Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:

Answer:
Option a.

Step-by-step explanation:
You have the following limit:

The method of direct substitution consists of substituting the value of
in the function and simplifying the expression obtained.
We then use this method to solve the limit by doing 
Therefore:


By definition, any number raised to exponent 0 is equal to 1
So


Finally
