Answer is Provided in the image attached.
Answer:
t = 14
Step-by-step explanation:
log (7t + 2) = 2
Raise each side to the power of 10
10 ^log (7t + 2) =10^ 2
7t+2 = 100
Subtract 2 from each side
7t+2-2 = 100-2
7t = 98
Divide each side by 7
7t/7 = 98/7
t = 14
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
So the domain of a function can be defined as an interval of x-values, which you can input into the function and get real numbers as an output. Since we have a cube root here, or more specifically an odd nth root, the domain is all real numbers, since cbrt(negative number) will just be a negative number since (negative number * negative number * negative number) = negative number, so there does exist a solution, unlike even nth roots like square root, which is restricted to only positive values inside the radical, otherwise you get non-real solutions.
Now let's look at the range of the function, which can be defined as an interval of y-values which can possibly be outputted by the function.
Since as mentioned before, the cube root isn't limited to a certain interval, and rather all real numbers, the range is also similar, since whenever you have a negative number in the radical, the output will be a negative number, so the range is all real numbers
Answer:
3 pieces with 2 feet left over
Step-by-step explanation:
1 Piece : 2 1/4
2 pieces : 4 1/2
3 pieces : 6 3/4
8 3/4/2 1/4=3 with 2 feet left over
Answer:
50.24
Step-by-step explanation:
8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4
(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)
(3.14*8^2)=200.96
200.96/4=50.24
