Answer:
C
Step-by-step explanation:
The rubber exercise ball is a sphere
the volume of a sphere= 4/3*pi*r3
where r = the radius of the sphere.
from the diagram, the radius = 4.5inches
Therefore, volume of the rubber ball = 4/3*pi*4.5^3 = 381.51 cubic inches
I'd say an outlier. P is separated noticably from the other points and would not considerably affect the slope of the line
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
Answer:
Step-by-step explanation:
The coefficients of x on each side of the equal sign are different, so the equation is <em>not a tautology</em>. It must have exactly one solution.
Answer:
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