Answer:
us set up the following variables:
⎧
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎩
l
Length of Rectangle (cm)
w
Width of Rectangle (cm)
A
Area of Rectangle (
c
m
2
)
t
Time (s)
We are told that:
d
l
d
t
=
8
cm/s (const), and,
d
w
d
t
=
3
cm/s (const)
The Area of the rectangle is:
A
=
l
w
Differentiating wrt
t
(using the product rule) we get;
d
A
d
t
=
(
l
)
(
d
w
d
t
)
+
(
d
l
d
t
)
(
w
)
∴
d
A
d
t
=
3
l
+
8
w
So when
l
=
20
and
w
=
10
⇒
d
A
d
t
=
3
⋅
20
+
8
⋅
10
∴
d
A
d
t
=
60
+
80
∴
d
A
d
t
=
140
cm
Answer: 29.75%
Step-by-step explanation:
X/100 *80.33=23.90
80.33x=2390
X=2390/80.33 = 29.75
Answer: 6.71 × 10^6 people
Step-by-step explanation:
Given that the population of New Zealand was approximately 4.43million people. In the same year, the population of Belgium was approximately 11.14 million people.
The difference in number of population will be
(11.14 - 4.43) millions
= 6.71 millions people
Expressing the answer by using scientific notation will be
6.71 × 10^6 people.
Therefore, 6.71 × 10^6 people live in Belgium than in New Zealand
Answer:
The same inputs cannot have multiple different outputs
You have to subtract the 3 officers who can not be chosen from all 35 members. So the probability is 1/32 because 35/3=32