Answer:
a. E = 50 H b. 950 dollars
Step-by-step explanation:
a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H
E = 50H.
b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.
So, E = 50H
E = 50 × 19
E = 950 dollars.
So, Rachel's earnings after 19 hours is 950 dollars.
The formula of a volume of a cone:

We have:

Substitute:

Answer: 1206 cm³
Step-by-step explanation:
according to BODMAS
5×5^2÷5-6
5^2=25
5×25÷5-6
5×5-6
25-6=19
Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see 
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
The area of a triangle can be calculated using the following equation:
A = 1/2 (B x H)
Where B is the dimension of the base and H is the height of the triangle.
Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:
3.6 cm2 = 1/2 (6 cm) (H)
Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.