Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
Answer:
It takes 147 hours for the snow to reach 62 inches.
Step-by-step explanation:
Given:
Height of the snow at the beginning = 84 inches
Rate at which the snow melts = f 0.15 inches per hour
To Find:
The time taken for the snow to reach 62 inches = ?
Solution:
Let the time taken to reach 62 inches be x
Then according to the question,
Total height of the snow - (rate of melting)(x) = 62 inches
On substituting the values,
84 - (0.15)(x) = 62
84 - 0.15x = 62
- 0.15x = 62 - 84
- 0.15x = -22
0.15x = 22
x = \frac{22}{0.15}
x= 146.6
x = 147
Answer: Vertical Stretch
Step-by-step explanation:
Given: The cost of manufacturing x refrigerators is given by the function :
If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :
which represents a vertical stretch in the graph.
∵ 2 is a positive constant greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .
Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60
Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,
3x + 6x = 180 {Sum of angles on a straight line equals 180}
9x = 180
Divide both sides of the equation by 9
x = 20.
That means angle 6x measures 6(20) and that is 120 degrees.
Also angle 3x measures 3(20) and that is 60 degrees.
Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}
Angle ABC + 120 = 180
Angle ABC = 180 - 120
Angle ABC = 60
Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20
Angle CBD = 120.
And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.
Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.
Answer:
C. theres a 50% chance
Step-by-step explanation:
Bb, Bb, bb & bb
hope this helps <3
