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: c = 0.65m + 19.85
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
We are given the functions f(x) and g(x) as,
It is required to find the function ( f+g ) i.e. ( f+g ) (x)
So,
i.e.
Hence, we get that .
So, the first option is correct.
Answer:
4 marble lost
Step-by-step explanation:
1/6×24=4
so 4 marble lost
Answer: B
-2/5(15 - 20d + 5c)
Distribute the -2/5.
-6 + 8d - 2c