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Algebra 2
Find roots using a calculator
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SPRECALC
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Find the angle between
u
\mathbf{u}
u
and
v
\mathbf{v}
v
, rounded to the nearest tenth degree.
\newline
u
=
⟨
4
,
−
4
,
−
7
⟩
,
v
=
⟨
7
,
4
,
4
⟩
\mathbf{u}=\langle 4,-4,-7\rangle, \mathbf{v}=\langle 7,4,4\rangle
u
=
⟨
4
,
−
4
,
−
7
⟩
,
v
=
⟨
7
,
4
,
4
⟩
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Approximate the value using a calculator. Express answer rounded to three decimal places.
\newline
4
π
4^{\pi}
4
π
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What is the sum of
1
,
678.2483
+
4
,
741.214
+
543.2456
1,678.2483+4,741.214+543.2456
1
,
678.2483
+
4
,
741.214
+
543.2456
? Round your answer to the nearest hundredth.
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What is the sum of
414.179
+
28.417
+
78.897
414.179+28.417+78.897
414.179
+
28.417
+
78.897
? Round your answer to the nearest hundredth.
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Find the sum of the first
8
8
8
terms of the following sequence. Round to the nearest hundredth if necessary.
\newline
100
,
88
,
77.44
,
…
100, \quad 88, \quad 77.44, \ldots
100
,
88
,
77.44
,
…
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Sum of a finite geometric series:
\newline
S
n
=
a
1
−
a
1
r
n
1
−
r
S_{n}=\frac{a_{1}-a_{1} r^{n}}{1-r}
S
n
=
1
−
r
a
1
−
a
1
r
n
\newline
Answer:
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Find the sum of the first
6
6
6
terms of the following sequence. Round to the nearest hundredth if necessary.
\newline
72
,
68.4
,
64.98
,
…
72, \quad 68.4, \quad 64.98, \ldots
72
,
68.4
,
64.98
,
…
\newline
Sum of a finite geometric series:
\newline
S
n
=
a
1
−
a
1
r
n
1
−
r
S_{n}=\frac{a_{1}-a_{1} r^{n}}{1-r}
S
n
=
1
−
r
a
1
−
a
1
r
n
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
403
,
395
,
387
,
…
403,395,387, \ldots
403
,
395
,
387
,
…
\newline
Find the
37
37
37
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
460
,
451
,
442
,
…
460,451,442, \ldots
460
,
451
,
442
,
…
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Find the
46
46
46
th term.
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Answer:
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Round
8
8
8
.
626
626
626
to the nearest hundredth.
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Answer:
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Round
1
1
1
.
6819
6819
6819
to the nearest hundredth.
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Answer:
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Round
9
9
9
.
403
403
403
to the nearest hundredth.
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Answer:
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Round
3
3
3
.
847
847
847
to the nearest tenth.
\newline
Answer:
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Round
0
0
0
.
765
765
765
to the nearest hundredth.
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Answer:
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Round
911
911
911
.
36998464
36998464
36998464
to the nearest ten-thousandth.
\newline
Answer:
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Round
82
82
82
.
383952789
383952789
383952789
to the nearest ten-thousandth.
\newline
Answer:
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Round
8355
⋅
9557708
8355 \cdot 9557708
8355
⋅
9557708
to the nearest hundredth.
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Answer:
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Round
693
693
693
.
21536584
21536584
21536584
to the nearest thousandth.
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Answer:
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Round
54
54
54
.
266162763
266162763
266162763
to
4
4
4
decimal places.
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Answer:
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Round
217
217
217
.
79514626
79514626
79514626
to the nearest hundredth.
\newline
Answer:
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Round
78
78
78
.
153598796
153598796
153598796
to
4
4
4
decimal places.
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Answer:
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Round
44
44
44
.
798958317
798958317
798958317
to the nearest ten-thousandth.
\newline
Answer:
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Round
765
765
765
.
19976345
19976345
19976345
to the nearest thousandth.
\newline
Answer:
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Round
32
32
32
.
333567809
333567809
333567809
to the nearest ten.
\newline
Answer:
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Round
4
4
4
.
8662588707
8662588707
8662588707
to the nearest hundred-thousandth.
\newline
Answer:
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Round
8
8
8
.
3878652529
3878652529
3878652529
to
5
5
5
decimal places.
\newline
Answer:
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Round
5
5
5
.
0699
0699
0699
to the nearest hundredth.
\newline
Answer:
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Round
0
0
0
.
474
474
474
to the nearest hundredth.
\newline
Answer:
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Round
3
3
3
.
8207
8207
8207
to the nearest hundredth.
\newline
Answer:
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Round
0
0
0
.
584
584
584
to the nearest hundredth.
\newline
Answer:
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Round
2
2
2
.
789
789
789
to the nearest hundredth.
\newline
Answer:
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Round
3
3
3
.
568107643
568107643
568107643
to
3
3
3
decimal places.
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Answer:
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Find the real-number root using a calculator. Round your answer to the nearest thousandth.
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`\sqrt{957} `
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_______
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