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Math Problems
Precalculus
Find trigonometric ratios using reference angles
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
3
×
1
4
3 \times \frac{1}{4}
3
×
4
1
?
3
3
3
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
5
×
3
4
5 \times \frac{3}{4}
5
×
4
3
?
5
5
5
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
1
×
1
4
1 \times \frac{1}{4}
1
×
4
1
?
1
1
1
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
5
?
5
×
5
5
5 ? 5 \times \frac{5}{5}
5
?
5
×
5
5
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
8
×
4
5
8 \times \frac{4}{5}
8
×
5
4
?
8
8
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
4
?
4
×
1
4
4 ? 4 \times \frac{1}{4}
4
?
4
×
4
1
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
4
×
5
5
?
4
4 \times \frac{5}{5} ? 4
4
×
5
5
?
4
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
6
×
3
3
?
6
6 \times \frac{3}{3} ? 6
6
×
3
3
?
6
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
We want to solve the following equation.
\newline
2
x
=
2
+
3
x
2^{x}=2+3 x
2
x
=
2
+
3
x
\newline
One of the solutions is
x
≈
3.7
x \approx 3.7
x
≈
3.7
.
\newline
Find the other solution.
\newline
Hint: Use a graphing calculator.
\newline
Round your answer to the nearest tenth.
\newline
x
≈
□
x \approx \square
x
≈
□
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Simplify to a single trig function with no denominator.
\newline
cot
θ
⋅
tan
θ
\cot \theta \cdot \tan \theta
cot
θ
⋅
tan
θ
\newline
Answer:
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Simplify to a single trig function with no denominator.
\newline
cot
θ
⋅
sin
θ
\cot \theta \cdot \sin \theta
cot
θ
⋅
sin
θ
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
66
x
2
55
x
\frac{66 x^{2}}{55 x}
55
x
66
x
2
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
11
x
3
10
x
3
\frac{11 x^{3}}{10 x^{3}}
10
x
3
11
x
3
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
27
15
x
3
\frac{27}{15 x^{3}}
15
x
3
27
\newline
Answer:
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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
20
x
18
x
2
\frac{20 x}{18 x^{2}}
18
x
2
20
x
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
48
x
2
19
\frac{48 x^{2}}{19}
19
48
x
2
\newline
Answer:
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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
6
x
2
7
x
3
\frac{6 x^{2}}{7 x^{3}}
7
x
3
6
x
2
\newline
Answer:
Get tutor help
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
9
5
÷
3
\frac{9}{5} \div 3
5
9
÷
3
\newline
Answer:
Get tutor help
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
5
4
÷
4
\frac{5}{4} \div 4
4
5
÷
4
\newline
Answer:
Get tutor help
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
2
5
÷
3
\frac{2}{5} \div 3
5
2
÷
3
\newline
Answer:
Get tutor help
Simplify. Remove all perfect squares from inside the square roots. Assume
y
y
y
and
z
z
z
are positive.
\newline
75
y
z
2
\sqrt{75 yz^{2}}
75
y
z
2
=
Get tutor help
Solve the following equation for
b
b
b
. Be sure to take into account whether a letter is capitalized or not.
\newline
g
b
=
M
Q
\frac{g}{b}=\frac{M}{Q}
b
g
=
Q
M
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve the following equation for
b
b
b
. Be sure to take into account whether a letter is capitalized or not.
\newline
f
=
1
5
b
H
f=\frac{1}{5} b H
f
=
5
1
b
H
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve the following equation for
B
B
B
. Be sure to take into account whether a letter is capitalized or not.
\newline
−
Q
+
B
n
=
F
2
-Q+\frac{B}{n}=F^{2}
−
Q
+
n
B
=
F
2
\newline
Answer:
B
=
B=
B
=
Get tutor help
Solve the following equation for
b
b
b
. Be sure to take into account whether a letter is capitalized or not.
\newline
d
=
g
+
6
5
b
d=g+\frac{6}{5} b
d
=
g
+
5
6
b
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve the following equation for
d
d
d
. Be sure to take into account whether a letter is capitalized or not.
\newline
f
3
d
=
8
T
\frac{f^{3}}{d}=\frac{8}{T}
d
f
3
=
T
8
\newline
Answer:
d
=
d=
d
=
Get tutor help
Solve the following equation for
b
b
b
. Be sure to take into account whether a letter is capitalized or not.
\newline
d
−
3
M
=
b
5
d-3 M=\frac{b}{5}
d
−
3
M
=
5
b
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve the following equation for
b
b
b
. Be sure to take into account whether a letter is capitalized or not.
\newline
F
=
b
8
F=\frac{b}{8}
F
=
8
b
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve the following equation for
B
B
B
. Be sure to take into account whether a letter is capitalized or not.
\newline
5
g
+
m
=
B
n
5 g+m=\frac{B}{n}
5
g
+
m
=
n
B
\newline
Answer:
B
=
B=
B
=
Get tutor help
Solve the following equation for
B
B
B
. Be sure to take into account whether a letter is capitalized or not.
\newline
(
3
+
g
3
)
B
=
4
t
\left(3+g^{3}\right) B=4 t
(
3
+
g
3
)
B
=
4
t
\newline
Answer:
B
=
B=
B
=
Get tutor help
Solve the following equation for
a
a
a
. Be sure to take into account whether a letter is capitalized or not.
\newline
b
3
+
6
=
a
3
q
b^{3}+6=\frac{a}{3 q}
b
3
+
6
=
3
q
a
\newline
Answer:
a
=
a=
a
=
Get tutor help
Solve the following equation for
A
A
A
. Be sure to take into account whether a letter is capitalized or not.
\newline
A
t
=
D
−
2
h
3
\frac{A}{t}=D-2 h^{3}
t
A
=
D
−
2
h
3
\newline
Answer:
A
=
A=
A
=
Get tutor help
Solve the following equation for
a
a
a
. Be sure to take into account whether a letter is capitalized or not.
\newline
a
b
−
2
g
2
=
h
\frac{a}{b-2 g^{2}}=h
b
−
2
g
2
a
=
h
\newline
Answer:
a
=
a=
a
=
Get tutor help
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
2
3
⋅
1
2
\frac{2}{3} \cdot \frac{1}{2}
3
2
⋅
2
1
\newline
Answer:
Get tutor help
A figure containing
∠
M
N
O
\angle M N O
∠
MNO
is dilated by a scale factor of
1
4
\frac{1}{4}
4
1
to form a new figure which contains
∠
M
′
N
′
O
′
.
∠
M
′
N
′
O
′
\angle M^{\prime} N^{\prime} O^{\prime} . \angle M^{\prime} N^{\prime} O^{\prime}
∠
M
′
N
′
O
′
.∠
M
′
N
′
O
′
measures
4
4
∘
44^{\circ}
4
4
∘
. What is the measure of
∠
M
N
O
\angle M N O
∠
MNO
?
\newline
Answer:
m
∠
M
N
O
=
\mathrm{m} \angle M N O=
m
∠
MNO
=
Get tutor help
Let
f
f
f
be the function defined by
f
(
x
)
=
2
x
f(x)=2^{x}
f
(
x
)
=
2
x
. If five subintervals of equal length are used, what is the value of the left Riemann sum approximation for
∫
3
5
2
x
d
x
\int_{3}^{5} 2^{x} d x
∫
3
5
2
x
d
x
? Round to the nearest thousandth if necessary.
\newline
Answer:
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Let
f
f
f
be the function defined by
f
(
x
)
=
3
x
f(x)=\frac{3}{x}
f
(
x
)
=
x
3
. If five subintervals of equal length are used, what is the value of the left Riemann sum approximation for
∫
3
4
3
x
d
x
\int_{3}^{4} \frac{3}{x} d x
∫
3
4
x
3
d
x
? Round to the nearest thousandth if necessary.
\newline
Answer:
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Let
f
f
f
be the function defined by
f
(
x
)
=
x
2
f(x)=x^{2}
f
(
x
)
=
x
2
. If four subintervals of equal length are used, what is the value of the right Riemann sum approximation for
∫
2
6
x
2
d
x
\int_{2}^{6} x^{2} d x
∫
2
6
x
2
d
x
?
\newline
Round to the nearest thousandth if necessary.
\newline
Answer:
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Given the function
y
=
2
x
3
−
3
3
+
2
x
3
y=\frac{2 x^{3}-3}{3+2 x^{3}}
y
=
3
+
2
x
3
2
x
3
−
3
, find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
in simplified form.
\newline
Answer:
d
y
d
x
=
\frac{d y}{d x}=
d
x
d
y
=
Get tutor help
Given the function
y
=
2
x
3
+
1
3
+
x
y=\frac{2 x^{3}+1}{3+x}
y
=
3
+
x
2
x
3
+
1
, find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
in simplified form.
\newline
Answer:
d
y
d
x
=
\frac{d y}{d x}=
d
x
d
y
=
Get tutor help
