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Math Problems
Algebra 2
Convergent and divergent geometric series
Un sfert din lungimea unui dreptunghi este cu
18
18
18
mai mare decât o treime din lățimea metrul dreptunghiului este
228
228
228
, află lungimea și lățimea dreptunghiului.
\newline
α
\alpha
α
\newline
Un teren are forma unui pătrat cu latura de
172
m
172 \mathrm{~m}
172
m
. Pentru
5
m
5 \mathrm{~m}
5
m
de gard necesari împrejr cesc
90
90
90
de scânduri. Câte scânduri sunt necesare pentru tot terenul?
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My Apps
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Savwas Easyeridge
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Membean | Salsoology
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Dashboard
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Sawasrealize.com/dashboard/classes/
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dccetdebbac
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bfat
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53
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53
/details/assignments/
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159185107
159185107
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4
4
4
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dat
81604221
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−
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−
8
: MathXL for Schook: Practice \&. Problem Solving
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Apr
30
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pm
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5
.
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8
8
.P
18
18
18
−
19
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−
19
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Question Help :
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Use the recipe card for
7
7
7
−
8
-8
−
8
.
\newline
7
7
7
. Ernesto has
17
17
17
cups of water. Is this enough water to make
9
9
9
batches of green slime for a class project? Explain.
\newline
8
8
8
. There are
16
16
16
tablespoons in
1
1
1
cup. How many tablespoons of cornstarch would Ernesto need to make
25
25
25
batches of green slime?
\newline
Click here to view the customary units. Click here to view the recipe card.
\newline
B. Yes. Ernesto needs
□
\square
□
pints of water, which equals
□
\square
□
cups.
\newline
8
8
8
. Ernesto would need
□
\square
□
tablesooons.
\newline
□
\square
□
\newline
4
4
4
\newline
:
\newline
(
1
1
1
)
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||ㅣ
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8
\sqrt{8}
8
\newline
1
5
\sqrt[5]{1}
5
1
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I.
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(u)
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Mort
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Enter your answer in the answer box and then click Check Answer.
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Question
8
8
8
of
12
12
12
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Noxt
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1
1
1
.
\newline
Leg:
\qquad
\newline
\qquad
\newline
Hypotenuse:
\qquad
\newline
\qquad
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Application
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3032996
3032996
3032996
/
23139091
23139091
23139091
/
5
5
5
befa
616
616
616
ad
50316
50316
50316
fe
71963657
71963657
71963657
cbb
4241
4241
4241
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https://student.navi.
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Ident
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Solve for
x
x
x
. Round to the nearest tenth, if necessary.
\newline
Atteapit
o
u
t
3
\mathrm{out}_{3}
out
3
\newline
Submit
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Does the infinite geometric series converge or diverge?
\newline
1
+
7
5
+
49
25
+
343
125
+
…
1 + \frac{7}{5} + \frac{49}{25} + \frac{343}{125} + \ldots
1
+
5
7
+
25
49
+
125
343
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
13
5
+
169
25
+
2
,
197
125
+
…
1 + \frac{13}{5} + \frac{169}{25} + \frac{2,197}{125} + \ldots
1
+
5
13
+
25
169
+
125
2
,
197
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
6
+
36
+
216
+
…
1 + 6 + 36 + 216 + \ldots
1
+
6
+
36
+
216
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
3
2
+
9
4
+
27
8
+
…
1 + \frac{3}{2} + \frac{9}{4} + \frac{27}{8} + \ldots
1
+
2
3
+
4
9
+
8
27
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
\newline
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
5
3
+
25
9
+
125
27
+
…
1 + \frac{5}{3} + \frac{25}{9} + \frac{125}{27} + \ldots
1
+
3
5
+
9
25
+
27
125
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
12
5
+
144
25
+
1
,
728
125
+
…
1 + \frac{12}{5} + \frac{144}{25} + \frac{1,728}{125} + \dots
1
+
5
12
+
25
144
+
125
1
,
728
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
4
5
+
16
25
+
64
125
+
…
1 + \frac{4}{5} + \frac{16}{25} + \frac{64}{125} + \ldots
1
+
5
4
+
25
16
+
125
64
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
8
5
+
64
25
+
512
125
+
…
1 + \frac{8}{5} + \frac{64}{25} + \frac{512}{125} + \dots
1
+
5
8
+
25
64
+
125
512
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
\newline
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
5
2
+
25
4
+
125
8
+
…
1 + \frac{5}{2} + \frac{25}{4} + \frac{125}{8} + \ldots
1
+
2
5
+
4
25
+
8
125
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
2
+
4
+
8
+
…
1 + 2 + 4 + 8 + \ldots
1
+
2
+
4
+
8
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
6
5
+
36
25
+
216
125
+
…
1 + \frac{6}{5} + \frac{36}{25} + \frac{216}{125} + \dots
1
+
5
6
+
25
36
+
125
216
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
8
3
+
64
9
+
512
27
+
…
1 + \frac{8}{3} + \frac{64}{9} + \frac{512}{27} + \dots
1
+
3
8
+
9
64
+
27
512
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
9
4
+
81
16
+
729
64
+
…
1 + \frac{9}{4} + \frac{81}{16} + \frac{729}{64} + \ldots
1
+
4
9
+
16
81
+
64
729
+
…
\newline
Choices:
\newline
(A)converge
\newline
(B)diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
7
3
+
49
9
+
343
27
+
…
1 + \frac{7}{3} + \frac{49}{9} + \frac{343}{27} + \ldots
1
+
3
7
+
9
49
+
27
343
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
5
+
25
+
125
+
…
1 + 5 + 25 + 125 + \dots
1
+
5
+
25
+
125
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
2
3
x
−
4
3
y
=
8
A
(
3
x
−
1
)
=
3
y
\begin{aligned} \dfrac{2}{3}x-\dfrac{4}{3}y&=8\ A\left(3x-1\right)&=3y \end{aligned}
3
2
x
−
3
4
y
=
8
A
(
3
x
−
1
)
=
3
y
Get tutor help
Incorrect
\newline
10
]
10]
10
]
\newline
Use the Distributive Property to expand this expression.
\newline
z
(
−
6.4
−
3.5
x
)
z(-6.4-3.5 x)
z
(
−
6.4
−
3.5
x
)
\newline
A.
−
6.4
z
−
3.5
x
-6.4 z-3.5 x
−
6.4
z
−
3.5
x
\newline
B.
z
−
6.4
−
3.5
x
z-6.4-3.5 x
z
−
6.4
−
3.5
x
\newline
C.
−
6.4
z
−
3.5
x
z
-6.4 z-3.5 x z
−
6.4
z
−
3.5
x
z
\newline
D.
−
6.4
x
z
−
3.5
x
z
-6.4 x z-3.5 x z
−
6.4
x
z
−
3.5
x
z
Get tutor help
8
8
8
.) A house purchased
5
5
5
years ago for
$
100
,
000
\$ 100,000
$100
,
000
was just sold for
$
135
,
000
\$ 135,000
$135
,
000
. Assuming exponentia growth, approximate the annual growth rate, to the nearest percent.
\newline
Work/Explana
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Click and drag like terms onto each other to simplify fully.
\newline
−
3
−
y
−
1
−
5
x
−
2
+
4
x
-3-y-1-5 x-2+4 x
−
3
−
y
−
1
−
5
x
−
2
+
4
x
Get tutor help
Consider this matrix transformation:
\newline
[
−
1
0
0
−
1
]
\left[\begin{array}{cc} -1 & 0 \\ 0 & -1 \end{array}\right]
[
−
1
0
0
−
1
]
\newline
What is the geometric effect of this transformation?
\newline
Choose
1
1
1
answer:
\newline
(A) A reflection across the
y
y
y
axis
\newline
(B) A reflection across the line
y
=
x
y=x
y
=
x
\newline
(C) A rotation about the origin by
9
0
∘
90^{\circ}
9
0
∘
\newline
(D) A rotation about the origin by
18
0
∘
180^{\circ}
18
0
∘
Get tutor help
Consider this matrix transformation:
\newline
[
−
1
0
0
1
]
\left[\begin{array}{cc} -1 & 0 \\ 0 & 1 \end{array}\right]
[
−
1
0
0
1
]
\newline
What is the geometric effect of this transformation?
\newline
Choose
1
1
1
answer:
\newline
(A) A reflection across the
y
y
y
axis
\newline
(B) A reflection across the line
y
=
x
y=x
y
=
x
\newline
(C) A rotation about the origin by
9
0
∘
90^{\circ}
9
0
∘
\newline
(D) A rotation about the origin by
18
0
∘
180^{\circ}
18
0
∘
Get tutor help
Consider this matrix transformation:
\newline
[
0
1
1
0
]
\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right]
[
0
1
1
0
]
\newline
What is the geometric effect of this transformation?
\newline
Choose
1
1
1
answer:
\newline
(A) A reflection across the
y
y
y
axis
\newline
(B) A reflection across the line
y
=
x
y=x
y
=
x
\newline
(C) A rotation about the origin by
9
0
∘
90^{\circ}
9
0
∘
\newline
(D) A rotation about the origin by
18
0
∘
180^{\circ}
18
0
∘
Get tutor help
Consider this matrix transformation:
\newline
[
0
−
1
1
0
]
\left[\begin{array}{cc} 0 & -1 \\ 1 & 0 \end{array}\right]
[
0
1
−
1
0
]
\newline
What is the geometric effect of this transformation?
\newline
Choose
1
1
1
answer:
\newline
(A) A reflection across the
y
y
y
axis
\newline
(B) A reflection across the line
y
=
x
y=x
y
=
x
\newline
(C) A rotation about the origin by
9
0
∘
90^{\circ}
9
0
∘
\newline
(D) A rotation about the origin by
18
0
∘
180^{\circ}
18
0
∘
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
3
4
+
9
16
+
27
64
+
⋯
1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots
1
+
4
3
+
16
9
+
64
27
+
⋯
\newline
Choices:
\newline
[A]converge
\text{[A]converge}
[A]converge
\newline
[B]diverge
\text{[B]diverge}
[B]diverge
Get tutor help
