Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function 
to exist the denominator must be ≠ 0
We have the denominator 
which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for 
Subtracting both sides by 6.
Dividing both sides by 2.
∴ 
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as:
Answer:
120% increase
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Equations are 
and 
take
Put the value of y in another equation
Put the value of x in y
Hence,
The answer is D, 1000pi
Use SA=2πrh+2πr^2.
Plug in the numbers A=2π*10*40+2*π*10^2.
and you get <span>3141.59.
divide by Pi and you get 1000</span>
Answer:
26,508
Step-by-step explanation:
To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
The top= 12 x 24 x 35 = 10,080
The lateral faces: 12 x 37 x 37 = 16,428
Surface Area= 10,080 + 16,428 = 26,508
