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:
b = - c + d - e
abcdefghijklmnopqrstuvwxyz
Answer:I think it is C
Step-by-step explanation:I think it i C
Answer= -4/5
Step by step explanation
The answer is 12
Step 1. Perform the operations inside the parenthesis:
(4 + 9) − 3(6) ÷ 2 + 8 = 13 - 18 ÷ 2 + 8
Step 2. Division has advantage over subtraction and addition:
13 - 18 ÷ 2 + 8 = 13 - 9 + 8
Step 3. Subtract and add:
13 - 9 + 8 = 12
