The answer should be 9 rounded because 2 pi r 56.5 will give u that.
Answer:
15
Step-by-step explanation:
Using the formular, Sn = n/2(2a + (n - 1)d)
where, n = 6: Sn = 6/2( -20 + 5(3)) = 3(15 - 20)
∴ Sn = 15
Answer:
Part 1) The scale factor is 
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}
Step-by-step explanation:
Find the y value at y=0
Replace the variable x with 0
in the expression.
f
(
0
)
=
5⋅
2
0
Simplify the result.
5
The y value at x
=
0 is 5
.
y
=
5
Find the
y value at x
=
−
1
y
=
5
2
Find the
y
value at
x
=
−
2
.
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
Tap for more steps...
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
Tap for more steps...
y
=
5
2
Find the
y
value at
x
=
−
2
.
Tap for more steps...
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
Tap for more steps...
y
=
5
2
Find the
y
value at
x
=
−
2
.
Tap for more steps...
y
=
5
4
Find the
y
value at
x
=
1
.
Tap for more steps...
y
=
10
Find the
y
value at
x
=
2
.
Tap for more steps...
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
Tap for more steps...
y
=
5
2
Find the
y
value at
x
=
−
2
.
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Answer:
<em>Answer below</em>
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
They can be identified because any term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The formula to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
Suppose we know the 4th term (n=4) of a sequence is 25:
Simplifying:
a1 + 3r = 25
We can choose any combination of a1 and r to satisfy the equation above.
Solving for a1:
a1 = 25 - 3r
a)
Choosing r = 3:
a1 = 25 - 3*3 = 16
The sequence is:
16, 19, 22, 25, ...
And the term rule is:
Choosing r=8
a1 = 25 - 3*8 = 1
The sequence is:
1, 9, 17, 25, ...
The term rule is:
Choosing r=-10
a1 = 25 - 3*(-10) = 25 + 30 = 55
The sequence is:
55, 45, 35, 25, ...
The term rule is:
