Answer:
10x³ + 12x² - 198x - 40
Step-by-step explanation:
Given parameters:
L(x) = 5x + 1
W(x) = 2x - 8
H(x) = x + 5
Unknown:
Volume = ?
Solution:
The volume of the body;
Volume = L x W x H
Insert the parameters and solve;
Volume = (5x + 1)(2x - 8)(x + 5)
Volume = (10x² - 40x + 2x - 8)(x + 5)
Volume = (10x² - 38x - 8 )(x + 5)
Volume = 10x³ - 38x² - 8x + 50x² - 190x - 40
Volume = 10x³ -38x² + 50x² - 8x - 190x - 40
Volume = 10x³ + 12x² - 198x - 40
Answer:
The answer would be B.2100
Step-by-step explanation:
To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.
Answer:
You have found 24 nickels.
Step-by-step explanation:
Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:
As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:
Solving the linear system:
You have found 24 nickels.
Answer: a) 1977060966, b) 146581344.
Step-by-step explanation:
Since we have given that
There are 10 numbers,
There are 26 lower case letters,
There are 26 upper case letters,
Since the first 3 characters have to be digits and next 6 can be upper or lower.
So, a) repetitions are allowed:
b) repetitions are not allowed:
Hence, a) 1977060966, b) 146581344.
