Answer 10
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2
Answer:
Step-by-step explanation:
you have a right triangle with the hypotenuse of 41 and another side of 40
a=
=
=
a=9
Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,

...(i)
Where, k is the constant of proportionality.
We have,
when
. Substituting these values in (i), we get
Divide both sides by 5.
Substituting
in (i), we get
Therefore, the required equation is
.
Rate of change <span>a </span>rate<span> that describes how one quantity </span>changes<span> in relation to another quantity. It is also called the slope. To calculate the rate of change in temperature, we use the expression:
Rate of change = change in temperature / change in time
</span>Rate of change = -25.5 / 1.5
Rate of change = -17 °C / min
The negative sign signifies a drop in temperature per minute.