Answer:
The total number of cupcakes ordered=216
Step-by-step explanation:
The total number of cupcakes ordered that the baker completed can be expressed as;
C=P×t
where;
C=Total number of completed order of cupcakes
P=percentage of order completed
t=total number of ordered cupcakes
In our case;
C=81
P=37.5%
t=t
replacing in the above expression;
81=37.5%×t
(37.5/100)×t=81
t=81×100/37.5
t=216
The total number of cupcakes ordered=216
Answer:
10 1/6
Step-by-step explanation:
first get 8 3/4 to a common denominator
8 3/4 *3/3= 8 9/12
8 9/12+ 1 5/12=9 14/12= 10 2/12= 10 1/6
Due to the symmetry of the paraboloid about the <em>z</em>-axis, you can treat this is a surface of revolution. Consider the curve 
, with 
, and revolve it about the <em>y</em>-axis. The area of the resulting surface is then
But perhaps you'd like the surface integral treatment. Parameterize the surface by
with 
and 
, where the third component follows from
Take the normal vector to the surface to be
The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:
Then the area of the surface is
which reduces to the integral used in the surface-of-revolution setup.
Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
Answer:
C
Step-by-step explanation:
Enjoli needs 45 cupcakes for the party
The recipe makes 15 cupcakes
So Enjoli needs three times what the recipe produces
Lets form an expression for number of cupcakes produced by the recipe;
1 batches + 1.5 strawberries= 15 cupcakes---------multiply by 3 to get Enjoli's
3batches + 4.5 strawberries= 45 cupcakes
From the graph, it is point C
