Answer:
k=0.106383
Step-by-step explanation:
Let's solve your equation step-by-step.
12=4.7k+11.5
Step 1: Flip the equation.
4.7k+11.5=12
Step 2: Subtract 11.5 from both sides.
4.7k+11.5−11.5=12−11.5
4.7k=0.5
Step 3: Divide both sides by 4.7.
4.7k
4.7
=
0.5
4.7
k=0.106383
Remember PEMDAS (Parentheses, Exponents, Multiplication ⇔ Division, Addition ⇔ Subtraction), which is the order you solve parts of an expression.
(7 + 5) ÷ 6 + 10² Add 7 and 5 (Parentheses)
12 ÷ 6 + 10² Square 10 (10 x 10) (Exponents)
12 ÷ 6 + 100 Divide 12 by 6 (Division)
2 + 100 Add (Addition)
102
Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2
