The area of the rectangle is changing at
0.75 sq.cm/min
Let
x
and
y
be the base and height of the rectangle.
x
=
0.5
cm is constant :. dx/dt=0#. Area of the rectangle
is
A
=
x
⋅
y
. Differentiating both sides we get
d
A
d
t
=
d
x
d
t
⋅
y
+
d
y
d
t
⋅
x
;
y
=
1.5
,
d
y
d
t
=
1.5
cm /min.
∴
d
A
d
t
=
0
⋅
1.5
+
1.5
⋅
0.5
=
0.75
sq.cm/min.
The area of the rectangle is changing at
0.75
sq.cm/min
Answer:
Part a) The linear model that shows the salesperson’s total income is equal to
Part b) The total income is 
Step-by-step explanation:
Part a)
Let
k-------> the total sales for the year
y-----> the total income for the year
we know that
The linear equation that represent the situation is
Part b) we have
substitute the value of k in the linear model to find the total income
The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as
... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes
After an additional 10 minutes, we have t=18, so the soda temperature will be
... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees
Answer:
Step-by-step explanation:
yo yo yo
= bo obobo ooboob
Answer:
5 hours
Step-by-step explanation:
We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.
$325 - $150 = $175
Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.
$175 ÷ $35 = 5 hours
