Answer:
Step-by-step explanation:
h=11.4 in
r=5.1 in
v=3.14*r^2*(h/3)
V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35
Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works
Make a change of coordinates:
The Jacobian for this transformation is
and has a determinant of
Note that we need to use the Jacobian in the other direction; that is, we've computed
but we need the Jacobian determinant for the reverse transformation (from
to
. To do this, notice that
we need to take the reciprocal of the Jacobian above.
The integral then changes to
Answer:
Step-by-step explanation:
C=0.14×7,200=1008
Nadia made a total of $1008 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission× number of weeks in 2011
where;
Average weekly commission=$1008
number of weeks in 2011=52
replacing;
Total amount (2011)=(1008×52)=52,416
The total amount Nadia in commission in 2011=$52,416
Answer:
9.9
Step-by-step explanation:
\text{Volume of Hemisphere}\text{:}
Volume of Hemisphere:
\,\,257
257
\text{Volume of Sphere}\text{:}
Volume of Sphere:
\,\,514
514
Double volume of hemisphere to get volume of the entire sphere
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
514=
514=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
514=
514=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{514}{4.1887902}=
4.1887902
514
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
122.7084611=
122.7084611=
\,\,r^3
r
3
\sqrt[3]{122.7084611}=
3
122.7084611
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.9692575=
4.9692575=
\,\,r
r
\text{Then the diameter equals }9.938515
Then the diameter equals 9.938515
diameter is radius times 2
\text{Final Answer:}
Final Answer:
d\approx 9.9\text{ m}
d≈9.9 m
Round to nearest tenth
