Answer:
The generator will run for 6 hours.
Step-by-step explanation:
First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.
Area of any prism = height * width * length
Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed
I am told the important info that <u>1,000 cm cubed = 1 liter </u>
Therefore, 3,000 cm cubed = 3 liters
I am also told that the generator will run for 2 hours on 1 liter of gas
Lets make a ratio table:
Hours the generator will run for : liters of gas
2 : 1
6 : 3
the generator will run for 6 hours.
Answer:
a. Yes
b. Yes
c. Yes
d. Degree 8
Step-by-step explanation:
a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.
b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.
c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:
![\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28x%29%7D%7Bm%28x%29%7D%20%3D%5Cfrac%7B6%5C%2Cx%5E5%5C%2Cy%5E7%7D%7B2%5C%2Cx%5E3%5C%2Cy%7D%20%3D3%5C%2Cx%5E2%5C%2Cy%5E6)
which as can be seen, also contains variables raised to positive integers.
d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8
Therefore the degree of this polynomial is 8.
Answer:
J
Step-by-step explanation:
If the side of the shape is increased by 3/2 then the total distance around the shape will be 3/2 bigger.
Example: If the pentagon has side length 2 then it becomes 2*3/2 = 6/2 = 3.
The original perimeter was 2+2+2+2+2 = 10.
The new perimeter is 3+3+3+3+3 = 15.
Did you notice that
? J is correct.
Answer:
no
Step-by-step explanation: