Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Answer:
hours
Step-by-step explanation:
Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.
As per given , we have
x+y= 8
Since : 
So , we have
20x+12y=122
According to the given question , we have the following system of equations ,

Multiply 12 on both sides of equation (1) , we get

Eliminate equation (3) from (2) , we get

Hence, you felt
hours good.
Answer:
840,000,0
Step-by-step explanation:
Answer:

Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that
. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

2) The product property of logarithms states that
. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of
and
. Apply the property as seen below and find the final answer.

So, the answer is
.
Answer:
<em>f(10)=290</em>
Step-by-step explanation:
<u>Function Evaluation</u>
Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.
We are given the function:

It's required to find f(10). We replace the x for 10:

Operating:



Thus, f(10)=290