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Math Problems
Algebra 2
Find trigonometric functions using a calculator
Given that events A and B are independent with
P
(
A
)
=
0.09
P(A)=0.09
P
(
A
)
=
0.09
and
P
(
B
)
=
0.3
P(B)=0.3
P
(
B
)
=
0.3
, determine the value of
P
(
B
∣
A
)
P(B \mid A)
P
(
B
∣
A
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Given
P
(
A
)
=
0.39
,
P
(
B
)
=
0.5
P(A)=0.39, P(B)=0.5
P
(
A
)
=
0.39
,
P
(
B
)
=
0.5
and
P
(
A
P(A
P
(
A
and
B
)
=
0.345
B)=0.345
B
)
=
0.345
, find the value of
P
(
B
∣
A
)
P(B \mid A)
P
(
B
∣
A
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Given
P
(
A
)
=
0.62
,
P
(
B
)
=
0.35
P(A)=0.62, P(B)=0.35
P
(
A
)
=
0.62
,
P
(
B
)
=
0.35
and
P
(
A
P(A
P
(
A
or
B
)
=
0.653
B)=0.653
B
)
=
0.653
, find the value of
P
(
A
P(A
P
(
A
and
B
)
B)
B
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Given that events A and B are independent with
P
(
A
)
=
0.06
P(A)=0.06
P
(
A
)
=
0.06
and
P
(
A
P(A
P
(
A
and
B
)
=
0.054
B)=0.054
B
)
=
0.054
, determine the value of
P
(
B
)
P(B)
P
(
B
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Given
P
(
A
)
=
0.3
,
P
(
B
)
=
0.7
P(A)=0.3, P(B)=0.7
P
(
A
)
=
0.3
,
P
(
B
)
=
0.7
and
P
(
A
P(A
P
(
A
and
B
)
=
0.26
B)=0.26
B
)
=
0.26
, find the value of
P
(
B
∣
A
)
P(B \mid A)
P
(
B
∣
A
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Given
P
(
A
)
=
0.6
,
P
(
B
)
=
0.39
P(A)=0.6, P(B)=0.39
P
(
A
)
=
0.6
,
P
(
B
)
=
0.39
and
P
(
A
∪
B
)
=
0.646
P(A \cup B)=0.646
P
(
A
∪
B
)
=
0.646
, find the value of
P
(
A
∩
B
)
P(A \cap B)
P
(
A
∩
B
)
, rounding to the nearest thousandth, if necessary.
\newline
Answer:
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Write
1
3
\frac{1}{3}
3
1
as a decimal. (Carry your answer out to thousandths place)
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Simplify. Your answer should be in proper scientific notation:
\newline
0.05
(
9
×
1
0
8
)
0.05\left(9 \times 10^{8}\right)
0.05
(
9
×
1
0
8
)
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If
f
(
x
)
=
2
2
x
−
7
f(x)=2^{2 x}-7
f
(
x
)
=
2
2
x
−
7
, what is the value of
f
(
3
)
f(3)
f
(
3
)
, to the nearest hundredth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
x
2
+
7
6
x
f(x)=\frac{x^{2}+7}{6 x}
f
(
x
)
=
6
x
x
2
+
7
, what is the value of
f
(
−
7
)
f(-7)
f
(
−
7
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
−
5
16
−
x
2
f(x)=\frac{-5}{16-x^{2}}
f
(
x
)
=
16
−
x
2
−
5
, what is the value of
f
(
6
)
f(6)
f
(
6
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
x
+
4
5
f(x)=\frac{\sqrt{x}+4}{5}
f
(
x
)
=
5
x
+
4
, what is the value of
f
(
9
)
f(9)
f
(
9
)
, to the nearest hundredth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
7
x
2
−
3
+
13
f(x)=7^{x^{2}-3}+13
f
(
x
)
=
7
x
2
−
3
+
13
, what is the value of
f
(
1
)
f(1)
f
(
1
)
, to the nearest hundredth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
3
x
2
−
9
+
11
f(x)=3^{x^{2}-9}+11
f
(
x
)
=
3
x
2
−
9
+
11
, what is the value of
f
(
−
3
)
f(-3)
f
(
−
3
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
x
2
+
14
6
x
f(x)=\frac{x^{2}+14}{6 x}
f
(
x
)
=
6
x
x
2
+
14
, what is the value of
f
(
3
)
f(3)
f
(
3
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
6
1
−
x
−
17
f(x)=6^{1-x}-17
f
(
x
)
=
6
1
−
x
−
17
, what is the value of
f
(
3
)
f(3)
f
(
3
)
, to the nearest tenth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
−
8
9
x
3
f(x)=\frac{-8}{9 x^{3}}
f
(
x
)
=
9
x
3
−
8
, what is the value of
f
(
2
)
f(2)
f
(
2
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
2
x
2
+
9
−
12
f(x)=2^{x^{2}+9}-12
f
(
x
)
=
2
x
2
+
9
−
12
, what is the value of
f
(
1
)
f(1)
f
(
1
)
, to the nearest tenth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
−
5
8
x
3
f(x)=\frac{-5}{8 x^{3}}
f
(
x
)
=
8
x
3
−
5
, what is the value of
f
(
−
1
)
f(-1)
f
(
−
1
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
−
7
x
x
2
−
13
f(x)=\frac{-7 x}{x^{2}-13}
f
(
x
)
=
x
2
−
13
−
7
x
, what is the value of
f
(
10
)
f(10)
f
(
10
)
, to the nearest hundredth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
3
14
−
x
2
f(x)=\frac{3}{14-x^{2}}
f
(
x
)
=
14
−
x
2
3
, what is the value of
f
(
−
6
)
f(-6)
f
(
−
6
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
x
2
−
2
9
f(x)=\frac{x^{2}-2}{9}
f
(
x
)
=
9
x
2
−
2
, what is the value of
f
(
−
10
)
f(-10)
f
(
−
10
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
19
−
x
2
8
x
f(x)=\frac{19-x^{2}}{8 x}
f
(
x
)
=
8
x
19
−
x
2
, what is the value of
f
(
−
6
)
f(-6)
f
(
−
6
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
−
18
−
x
2
4
x
f(x)=\frac{-18-x^{2}}{4 x}
f
(
x
)
=
4
x
−
18
−
x
2
, what is the value of
f
(
−
6
)
f(-6)
f
(
−
6
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
3
6
x
+
9
f(x)=3^{6 x}+9
f
(
x
)
=
3
6
x
+
9
, what is the value of
f
(
1
)
f(1)
f
(
1
)
, to the nearest hundredth (if necessary)?
\newline
Answer:
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Solve the equation
x
2
−
2
x
−
10
=
4
x
x^{2}-2 x-10=4 x
x
2
−
2
x
−
10
=
4
x
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
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Solve the equation
5
x
2
−
18
x
+
5
=
−
6
x
5 x^{2}-18 x+5=-6 x
5
x
2
−
18
x
+
5
=
−
6
x
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
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Fully simplify.
\newline
12
x
3
y
(
x
4
y
2
)
12 x^{3} y\left(x^{4} y^{2}\right)
12
x
3
y
(
x
4
y
2
)
\newline
Answer:
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Fully simplify.
\newline
2
x
2
y
3
(
−
7
x
2
y
5
)
2 x^{2} y^{3}\left(-7 x^{2} y^{5}\right)
2
x
2
y
3
(
−
7
x
2
y
5
)
\newline
Answer:
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Fully simplify.
\newline
x
2
y
2
(
−
5
x
2
y
4
)
x^{2} y^{2}\left(-5 x^{2} y^{4}\right)
x
2
y
2
(
−
5
x
2
y
4
)
\newline
Answer:
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What is the image point of
(
−
6
,
−
1
)
(-6,-1)
(
−
6
,
−
1
)
after the transformation
R
180
R_{180}
R
180
o
r
y
=
−
x
r_{y} = - x
r
y
=
−
x
?
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Find the
100
100
100
th term of the arithmetic sequence
−
9
,
−
19
,
−
29
,
…
-9,-19,-29, \ldots
−
9
,
−
19
,
−
29
,
…
\newline
Answer:
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Find the
64
64
64
th term of the arithmetic sequence
−
30
,
−
39
,
−
48
,
…
-30,-39,-48, \ldots
−
30
,
−
39
,
−
48
,
…
\newline
Answer:
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Find the
81
81
81
st term of the arithmetic sequence
−
7
,
−
22
,
−
37
,
…
-7,-22,-37, \ldots
−
7
,
−
22
,
−
37
,
…
\newline
Answer:
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Find the
5
5
th
55^{\text {th }}
5
5
th
term of the arithmetic sequence
11
,
30
,
49
,
…
11,30,49, \ldots
11
,
30
,
49
,
…
\newline
Answer:
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Find the
81
81
81
st term of the arithmetic sequence
24
,
11
,
−
2
,
…
24,11,-2, \ldots
24
,
11
,
−
2
,
…
\newline
Answer:
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Find the
56
56
56
th term of the arithmetic sequence
−
14
,
−
26
,
−
38
,
…
-14,-26,-38, \ldots
−
14
,
−
26
,
−
38
,
…
\newline
Answer:
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Find the
50
50
50
th term of the arithmetic sequence
−
30
,
−
26
,
−
22
,
…
-30,-26,-22, \ldots
−
30
,
−
26
,
−
22
,
…
\newline
Answer:
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Find the
54
54
54
th term of the arithmetic sequence
−
15
,
4
,
23
,
…
-15,4,23, \ldots
−
15
,
4
,
23
,
…
\newline
Answer:
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Find the
7
7
th
77^{\text {th }}
7
7
th
term of the arithmetic sequence
14
,
3
,
−
8
,
…
14,3,-8, \ldots
14
,
3
,
−
8
,
…
\newline
Answer:
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Find the zeros of the function
f
(
x
)
=
2
x
2
−
8.4
x
+
5.2
f(x)=2 x^{2}-8.4 x+5.2
f
(
x
)
=
2
x
2
−
8.4
x
+
5.2
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
x
2
+
5.4
x
+
4
f(x)=x^{2}+5.4 x+4
f
(
x
)
=
x
2
+
5.4
x
+
4
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
2
x
2
−
20.9
x
+
52.6
f(x)=2 x^{2}-20.9 x+52.6
f
(
x
)
=
2
x
2
−
20.9
x
+
52.6
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
x
2
+
7.8
x
+
12.3
f(x)=x^{2}+7.8 x+12.3
f
(
x
)
=
x
2
+
7.8
x
+
12.3
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
x
2
−
8.4
x
+
12
f(x)=x^{2}-8.4 x+12
f
(
x
)
=
x
2
−
8.4
x
+
12
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
x
2
+
9.4
x
+
19.8
f(x)=x^{2}+9.4 x+19.8
f
(
x
)
=
x
2
+
9.4
x
+
19.8
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
1.1
x
2
+
4
x
+
0.7
f(x)=1.1 x^{2}+4 x+0.7
f
(
x
)
=
1.1
x
2
+
4
x
+
0.7
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the zeros of the function
f
(
x
)
=
−
x
2
−
8.7
x
−
16
f(x)=-x^{2}-8.7 x-16
f
(
x
)
=
−
x
2
−
8.7
x
−
16
. Round values to the nearest hundredth (if necessary).
\newline
Answer:
x
=
x=
x
=
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Find the minimum value of the function
f
(
x
)
=
0.4
x
2
+
x
+
5
f(x)=0.4 x^{2}+x+5
f
(
x
)
=
0.4
x
2
+
x
+
5
to the nearest hundredth.
\newline
Answer:
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Find the minimum value of the function
f
(
x
)
=
2
x
2
−
8.1
x
+
14.5
f(x)=2 x^{2}-8.1 x+14.5
f
(
x
)
=
2
x
2
−
8.1
x
+
14.5
to the nearest hundredth.
\newline
Answer:
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