Answer:
Which mode of transmission of heat is shown in the given figure?Explain the mechanism of convection of heat.
-Show Schedule-
Chemistry-Every 10 minutes
Electricity-Every 20 minutes
Recycling-Every 6 minutes
Fossils-Every 45 minutes
The first showing for all shows is at 10:00 A.M.
The chemistry and recycling presentations coincide every 30 minutes starting from 10:00 A.M. They will occur at the same time at 10:30 A.M., 11:00 A.M., 11:30 A.M., etc., until 5:00 P.M.
To solve this problem, we need to find the common multiple of 10 and 6, which is the frequency in minutes of the chemistry and recycling presentations respectively. The least common multiple (LCM) of 10 and 6 is 30. So, the chemistry and recycling presentations will coincide every 30 minutes.
Starting at 10:00 A.M., they would coincide at 10:30 A.M., 11:00 A.M., 11:30 A.M., and continue in this pattern until 5:00 P.M.
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I can help you with graphing quadratics in intercept form. Here's a step-by-step guide:
Step 1: Identify the intercepts
The intercepts are the points where the parabola crosses the x-axis and y-axis. In intercept form, the x-intercepts are given by the factors of the quadratic expression. For example, in the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y.
Step 2: Find the vertex
The vertex is the point where the parabola reaches its maximum or minimum value. The x-coordinate of the vertex is the average of the x-intercepts. In the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6, so the x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute the x-coordinate into the equation and solve for y.
Step 3: Plot the intercepts and vertex
Mark the intercepts and vertex on the coordinate plane.
Step 4: Sketch the parabola
Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.
Example:
Let's graph the equation f(x) = 2(x+4)(x+6).
Step 1: Identify the intercepts
The x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y:
f(0) = 2(0+4)(0+6) = 48
So the y-intercept is (0, 48).
Step 2: Find the vertex
The x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute x = -5 into the equation:
f(-5) = 2(-5+4)(-5+6) = 2
So the vertex is (-5, 2).
Step 3: Plot the intercepts and vertex
Plot the intercepts (-4, 0), (-6, 0), and (0, 48), and the vertex (-5, 2) on the coordinate plane.
Step 4: Sketch the parabola
Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.
The graph of the equation f(x) = 2(x+4)(x+6) is a parabola that opens upwards and has intercepts at (-4, 0), (-6, 0), and (0, 48). The vertex of the parabola is at (-5, 2).
SHOW YOUR WORK.......