Step-by-step explanation:
V = (12*4*5) + (2*3*5) + (5*3*5) + (12*4*5)
V = 240 + 30 + 75 + 240
V = 585 cm^3
For a vertical projectile, the equation of motion is expressed h(t)=g+bt+c, where g is gravity, b is the initial upward velocity, and c is the starting height. The maxima of this equation is given by -b/2g, which in this case would be -56/-32, or 1.75 seconds after launch
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Answer:
Step-by-step explanation:
Estimating a sum by rounding to get the best estimate is the goal of this lesson. Notice that we try to estimate. We don't need to have an exact answer!
Notice that for numbers with two digits, there can only be one estimate because you can only round to the tens place.
Estimate the following sums: 36 + 21, 74 + 15, and 85 + 24
36 + 21 = 40 + 20 = 60
74 + 15 = 70 + 20 = 90
Instead of adding more fraction strips you would take some away to get a smaller number.
Question 1
The given system of equations is:

Equate the two equations:

Rewrite in standard form:




When we put x=0, in y=3x +6, we get:

One solution is (0,6)
When we put x=-2, into y=3x+6, we get:

Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is

Let us put x=-x,

This gives:

We can observe that:

This is the property of an even function.
Question 3:
The given function is

The average rate of change of f(x) from x=a to x=b is given as:

This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change

The average rate of change is 11