41.
Solve the equation 3(2
�
−1)=153(2
x
−1)=15
.
Answer
: �
=3
x
=3
.
42.
Calculate the value of �
y
in the equation 2
�
−6=102
y
−6=10
.
Answer
: �
=8
y
=8
.
43.
Find the volume of a cylinder with a radius of 44
units and a height of 1010
units (use �
=3.14
π
=3.14
).
Answer
: Volume = �
×
�
2× =3.14×42×10=502.4
ℎ
π
×
r
2
×
h
=3.14×4
2
×10=502.4
cubic units.
44.
Determine the value of �
z
if 2
�
+5=192
z
+5=19
.
Answer
: �
=7
z
=7
.
45.
Solve the equation 3
�
4−2=7
43
x
−2=7
.
Answer
: �
=36
x
=36
.
46.
Evaluate the expression: 92−5×79
2
−5×7
.
Answer
: 92−5×7=81−35=469
2
−5×7=81−35=46
.
47.
Calculate the circumference of a circle with a radius of 1212
units
(use �
=3.14
π
=3.14
).
Answer
: Circumference = �
×diameter=3.14×2×12=75.36
π
×diameter=3.14×2×12=75.36
units.
48.
Solve the inequality: 4
�
−9<74
x
−9<7
.
Answer
: �
<4
x
<4
.
49.
Find the slope of the line perpendicular to �
=−3
�
+2
y
=−3
x
+2
.
Answer
: The slope of a line perpendicular to this line would be 13
31
.
50.
Solve for �
y
in the equation 5
�
+2=175
y
+2=17
.
Answer
: �
=3
y
=3
.
