6 and 3 is a factor of each other. 3×4=12 6×2=12.
The area of your figure is the sum of the areas of the base cuboid and the lateral area of the "tower."
The top and bottom areas of the base cuboid are (10 in)*(10 in) = 100 in^2, for a total of 2*100 in^2 = 200 in^2.
The lateral area of the base cuboid is its perimeter (4*10 in = 40 in) multiplied by its height (2 in), so is 80 in^2.
Likewise, the lateral area of the "tower" is the product of its perimeter (4*5 in = 20 in) and its height (8 in), so is 160 in^2.
The sum of all these is 200 in^2 +80 in^2 +160 in^2 = 440 in^2.
The 3rd selection is appropriate.
Answers:
The first and third options should be selected.
- The ordered pair (10,5) is a solution to the first equation because it makes the first equation true.
- The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.
Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
Answer:
The sum of 2 and the quotient of 3 and y
Step-by-step explanation:
The expression 2 + 3/y without any parentheses is evaluated as ...
2 + (3/y)
which is a sum. The first contributor to the sum is 2, and the second contributor is the quotient of 3 and y. (Usually, "the quotient of "a" and "b" means "a/b".)
Hence the answer shown above is a good description of the expression.
Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.
(2) The logarithm (to base 10) of any number x is defined as the power N such that
x = 10N
(3) Properties of logarithms:
(a) The logarithm of a product P.Q is the sum of the logarithms of the factors
log (PQ) = log P + log Q
(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors
log (P / Q) = log P – log Q
(c) The logarithm of a number P raised to power Q is Q.logP
log[PQ] = Q.logP
Step-by-step explanation: