Answer:
117 feet squared
Step-by-step explanation:
Multiply the height (9 feet) by the width (13 feet).
9 x 13 = 117
117 feet squared
Note: squared is added when describing area (it's used as an exponent in numbers)
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between
and
means that

or
,
which indicates a linear relationship between
and
because they are related by a constant.
Therefore, if x is doubled, then the new value of
is 



The new value of
is 2 times the previous; therefore,
is doubled as
is doubled.
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
-2
Step-by-step explanation:
Answer:
140 weeks.
Step-by-step explanation:
We are being asked for the maximum number that can elapse without having 2 subcommitees with the same members and the same chair. Notice that the secretary is not mentioned in this statement, so we can ignore that position.
Now, the maximum number of weeks would be equal to the total possible combinations of subcommitees that can be formed from the 7 individuals commiteed, times the number of options that can sit at the chair possition.
The total possible combinations of subcommitees that can be formed from the 7 individuals can be expressed like the following expression. Notice that there is no a particular order to be considered, so we use the combination formula:
=
= 35
Now, each of the 4 individuals have the same probability of being chosen as the chair commitee. So, we have to multiply 4 times the number of possible subcommitees in order to arrive our answer:
x = 35 * 4 = 140
This would be the maximum number of subcommitees that can be formed with no subcommitees with the same members and the same chair occurring.