If there were 5 groups and after a while 7 students leave early and 3 students remain to do the activity, if you add 7 + 3 = 10 divide it by 5, the number of groups in the activity, you would get 2 students in each group.

6 0

4 years ago

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Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .

Then use the fact that the definite integral is distributive over sums, meaning

$\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi$

8 0

4 years ago

Graph the ordered pairs. 25 y 20 15 Total Time (min) 10 5 X 0 1 2 2 3 4 5 Number of Pages 2. Describe the pattern in the graph.

Genrish500 [490]

Answer:

When the Supreme Court rules on a constitutional issue, that judgment is virtually final; its decisions can be altered only by the rarely used procedure of constitutional amendment or by a new ruling of the Court. However, when the Court interprets a statute, new legislative action can be taken.

6 0

3 years ago

What is undefined in functions​

What is undefined in functions