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/
Math
Solve
Problem 22901
Find the cost to fence a 725 ft by 1,021 ft field at \$ 13.57 per foot. Options: \$ 10,044.85, \$ 23,693.22, \$ 47,386.44.
See Solution
Problem 22902
Solve for
x
x
x
:
4
(
x
+
1
)
≤
4
x
+
3
4(x+1) \leq 4x + 3
4
(
x
+
1
)
≤
4
x
+
3
See Solution
Problem 22903
How much current can each of six
1
/
0
1 / 0
1/0
AWG aluminum conductors with THWN insulation carry at
3
0
∘
C
30^{\circ} \mathrm{C}
3
0
∘
C
? A.
150
A
150 \mathrm{~A}
150
A
B.
125
A
125 \mathrm{~A}
125
A
C.
96
A
96 \mathrm{~A}
96
A
D.
120
A
120 \mathrm{~A}
120
A
See Solution
Problem 22904
Find the product of the polynomials: (7x + 7)(x + 2). What is the result? A.
7
x
2
+
21
x
+
28
7x^{2}+21x+28
7
x
2
+
21
x
+
28
B.
7
x
2
+
21
x
+
14
7x^{2}+21x+14
7
x
2
+
21
x
+
14
C.
7
x
2
+
9
x
+
14
7x^{2}+9x+14
7
x
2
+
9
x
+
14
D.
7
x
2
+
9
x
+
7
7x^{2}+9x+7
7
x
2
+
9
x
+
7
See Solution
Problem 22905
What percentage of Joshua's total purchases was spent on soccer gear? Total purchases: \$4 + \$43 + \$10 + \$3 + \$15 + \$35.
See Solution
Problem 22906
Calcular:
7
+
(
6
×
5
2
+
3
)
7 + (6 \times 5^{2} + 3)
7
+
(
6
×
5
2
+
3
)
See Solution
Problem 22907
Triangles
A
B
C
ABC
A
BC
and
D
E
F
DEF
D
EF
are similar. If
D
E
F
DEF
D
EF
has an area of 6 sq ft, find the area of
A
B
C
ABC
A
BC
with sides 12 ft and 4 ft.
See Solution
Problem 22908
What is the total amount to pay back if you borrow \$120 for 3 years at 5% interest?
See Solution
Problem 22909
What will be the total amount paid back after borrowing \$ 250 for 6 years at an annual interest rate of 11\%?
See Solution
Problem 22910
Calculate
98.58
k
m
+
10.0
k
m
98.58 \mathrm{~km}+10.0 \mathrm{~km}
98.58
km
+
10.0
km
with the correct significant digits. Options:
108.6
k
m
108.6 \mathrm{~km}
108.6
km
,
100
k
m
100 \mathrm{~km}
100
km
,
108.58
k
m
108.58 \mathrm{~km}
108.58
km
,
110
k
m
110 \mathrm{~km}
110
km
.
See Solution
Problem 22911
What is the total amount paid back if you borrow \$1,200 for 5 years at a 12\% annual interest rate?
See Solution
Problem 22912
Convert 25 inches to centimeters using the conversion
254
c
m
=
1
i
n
254 \mathrm{~cm} = 1 \mathrm{~in}
254
cm
=
1
in
.
See Solution
Problem 22913
Find the product using FOIL:
(
x
+
5
)
(
x
2
−
3
x
)
(x+5)(x^{2}-3x)
(
x
+
5
)
(
x
2
−
3
x
)
. Choices: A.
x
3
+
5
x
2
−
15
x
x^{3}+5x^{2}-15x
x
3
+
5
x
2
−
15
x
, B.
x
3
+
2
x
2
−
15
x^{3}+2x^{2}-15
x
3
+
2
x
2
−
15
, C.
x
3
+
2
x
2
−
15
x
th
x^{3}+2x^{2}-15x^{\text{th}}
x
3
+
2
x
2
−
15
x
th
, D.
x
3
+
5
x
2
−
15
x^{3}+5x^{2}-15
x
3
+
5
x
2
−
15
.
See Solution
Problem 22914
Find the product of the binomials
(
x
−
6
)
(
x
+
2
)
(x-6)(x+2)
(
x
−
6
)
(
x
+
2
)
. Choose the correct answer from the options provided.
See Solution
Problem 22915
Chlorine boils at
239
K
239 \mathrm{~K}
239
K
. What is its boiling point in Celsius? Options:
−
3
4
∘
C
-34^{\circ} \mathrm{C}
−
3
4
∘
C
,
9
3
∘
C
93^{\circ} \mathrm{C}
9
3
∘
C
,
3
4
∘
C
34^{\circ} \mathrm{C}
3
4
∘
C
,
−
6
1
∘
C
-61^{\circ} \mathrm{C}
−
6
1
∘
C
.
See Solution
Problem 22916
Find
x
x
x
where
5
sin
x
+
3
cos
x
=
0
5 \sin x + 3 \cos x = 0
5
sin
x
+
3
cos
x
=
0
for
0
∘
≤
x
≤
36
0
∘
0^{\circ} \leq x \leq 360^{\circ}
0
∘
≤
x
≤
36
0
∘
. Simplify
cos
(
180
−
x
)
\cos(180 - x)
cos
(
180
−
x
)
.
See Solution
Problem 22917
Convert the temperature
−
5
6
∘
C
-56^{\circ} \mathrm{C}
−
5
6
∘
C
to kelvin. Options:
329
K
329 \mathrm{~K}
329
K
,
156
K
156 \mathrm{~K}
156
K
,
−
329
K
-329 K
−
329
K
,
217
K
217 K
217
K
.
See Solution
Problem 22918
Convert
2
4
∘
F
24^{\circ} \mathrm{F}
2
4
∘
F
to Celsius using the formula
∘
C
=
(
∘
F
−
32
)
/
1.8
{ }^{\circ} \mathrm{C}=\left({ }^{\circ} \mathrm{F}-32\right) / 1.8
∘
C
=
(
∘
F
−
32
)
/1.8
.
See Solution
Problem 22919
Find the probability that the sample mean exceeds 80 for
μ
=
75
\mu=75
μ
=
75
and
σ
=
12
\sigma=12
σ
=
12
. Options: 2.5, 0.0062, 0.9938, 0.065.
See Solution
Problem 22920
Convert 0.075 meters to millimeters. Use the conversion
1
m
=
1000
m
m
1 \mathrm{~m}=1000 \mathrm{~mm}
1
m
=
1000
mm
.
See Solution
Problem 22921
Find new coordinates of vertices
M
′
M'
M
′
,
P
′
P'
P
′
,
Q
′
Q'
Q
′
, and
V
′
V'
V
′
after a
27
0
∘
270^{\circ}
27
0
∘
rotation of parallelogram
M
P
Q
V
MPQV
MPQ
V
around
(
−
5
,
−
10
)
(-5,-10)
(
−
5
,
−
10
)
.
See Solution
Problem 22922
Find points that satisfy the inequalities
y
≥
−
3
x
−
4
y \geq -3x - 4
y
≥
−
3
x
−
4
and
y
>
1
2
x
−
6
y > \frac{1}{2}x - 6
y
>
2
1
x
−
6
.
See Solution
Problem 22923
How many gifts did 'True Love' receive on the 12 days of Christmas? Show your work using
n
n
n
gifts on day
n
n
n
.
See Solution
Problem 22924
Find the number of
K
K
K
atoms in a 100 g sample of potassium metal. A)
3.08
×
1
0
24
3.08 \times 10^{24}
3.08
×
1
0
24
B)
1.85
×
1
0
−
24
1.85 \times 10^{-24}
1.85
×
1
0
−
24
C) 2.56 D)
1.54
×
1
0
24
1.54 \times 10^{24}
1.54
×
1
0
24
E)
15
,
000
,
000
,
000
,
000
,
000
,
000
15,000,000,000,000,000,000
15
,
000
,
000
,
000
,
000
,
000
,
000
See Solution
Problem 22925
Solve the inequality:
∣
2
y
−
7
∣
>
9
|2y - 7| > 9
∣2
y
−
7∣
>
9
. Find
y
<
[
?
]
y < [?]
y
<
[
?]
or
y
>
[
?
]
y > [?]
y
>
[
?]
.
See Solution
Problem 22926
Solve the inequality:
∣
3
x
−
4
∣
<
2
|3x - 4| < 2
∣3
x
−
4∣
<
2
.
See Solution
Problem 22927
Petra and Dawn can typeset 150 pages together. Petra takes 2 days for 50 pages, and Dawn takes 1.75 days for 50 pages. How long?
See Solution
Problem 22928
Calculate the sum:
7
+
(
−
9
)
=
7 + (-9) =
7
+
(
−
9
)
=
See Solution
Problem 22929
Calculate the sum:
−
11
+
(
−
1
)
=
-11 + (-1) =
−
11
+
(
−
1
)
=
See Solution
Problem 22930
Calculate the sum of -8 and 7:
−
8
+
7
=
-8 + 7 =
−
8
+
7
=
See Solution
Problem 22931
Calculate:
−
8
+
(
−
5
)
=
-8 + (-5) =
−
8
+
(
−
5
)
=
See Solution
Problem 22932
Calculate:
−
5
+
0
=
-5 + 0 =
−
5
+
0
=
See Solution
Problem 22933
Find the opposite of 3. The opposite of 3 is
−
3
-3
−
3
.
See Solution
Problem 22934
Find the inverse of the function
f
(
x
)
=
−
5
x
−
4
f(x)=-5 x-4
f
(
x
)
=
−
5
x
−
4
.
See Solution
Problem 22935
Express 9 and 2 as a base and exponent to equal 81. Options:
9
2
9^{2}
9
2
,
9
2
4
2
\frac{9^{2}}{4^{2}}
4
2
9
2
,
2
9
2^{9}
2
9
,
2
(
9
)
2
2(9)^{2}
2
(
9
)
2
.
See Solution
Problem 22936
Find the opposite of -29. What is the result? The opposite of -29 is
29
29
29
.
See Solution
Problem 22937
Solve for
x
x
x
:
x
3
≤
−
6
\frac{x}{3} \leq -6
3
x
≤
−
6
.
See Solution
Problem 22938
The opposite of the number 0 is
0
0
0
.
See Solution
Problem 22939
Solve for
x
x
x
:
−
7
≥
13
−
5
x
-7 \geq 13 - 5x
−
7
≥
13
−
5
x
See Solution
Problem 22940
Find the length and width of a rectangular field where length is 43 yd longer than width and perimeter is 186 yd.
See Solution
Problem 22941
Solve the equation
3
x
2
−
5
x
−
2
=
0
3 x^{2}-5 x-2=0
3
x
2
−
5
x
−
2
=
0
.
See Solution
Problem 22942
Find the opposite of the number
−
1
6
-\frac{1}{6}
−
6
1
. What is it?
See Solution
Problem 22943
Find the additive inverse of -28.8. It is
28.8
28.8
28.8
.
See Solution
Problem 22944
Add
11
+
(
−
11
)
11 + (-11)
11
+
(
−
11
)
using a number line. What is the result?
11
+
(
−
11
)
=
11 + (-11) =
11
+
(
−
11
)
=
See Solution
Problem 22945
Solve the inequality and graph the solution:
(
m
−
2
)
(
m
+
8
)
<
0
(m-2)(m+8)<0
(
m
−
2
)
(
m
+
8
)
<
0
See Solution
Problem 22946
Find the real solutions of the equation
x
2
−
14
=
0
x^{2}-14=0
x
2
−
14
=
0
.
See Solution
Problem 22947
Calculate the sum:
−
6
+
(
−
15
)
=
-6 + (-15) =
−
6
+
(
−
15
)
=
See Solution
Problem 22948
Tickets cost \$4 for general admission and \$3 with a student ID. If 180 tickets sold for \$613, how many of each type?
See Solution
Problem 22949
Calculate the sum:
−
4
+
(
−
91
)
-4 + (-91)
−
4
+
(
−
91
)
.
See Solution
Problem 22950
Solve for
n
n
n
:
3
(
n
+
5
)
≥
3
n
+
8
3(n+5) \geq 3n + 8
3
(
n
+
5
)
≥
3
n
+
8
See Solution
Problem 22951
Solve the equation by factoring:
z
2
+
6
z
−
7
=
0
z^{2}+6z-7=0
z
2
+
6
z
−
7
=
0
.
See Solution
Problem 22952
Calculate:
7
+
5
7 + 5
7
+
5
See Solution
Problem 22953
How many gallons of
30
%
30\%
30%
and
5
%
5\%
5%
alcohol are needed to make 25 gal of
12
%
12\%
12%
alcohol?
See Solution
Problem 22954
Calculate:
84.5
+
(
−
96.3
)
=
84.5 + (-96.3) =
84.5
+
(
−
96.3
)
=
(Enter an integer or decimal.)
See Solution
Problem 22955
Express the number
2
,
−
4
2,-4
2
,
−
4
as a base and exponent to equal 16. Options:
(
−
4
)
2
(-4)^{2}
(
−
4
)
2
,
(
−
4
)
4
(-4)^{4}
(
−
4
)
4
,
2
−
4
2^{-4}
2
−
4
,
(
−
2
)
4
(-2)^{4}
(
−
2
)
4
.
See Solution
Problem 22956
Solve for real solutions using the quadratic formula:
4
y
2
−
y
+
4
=
0
4 y^{2}-y+4=0
4
y
2
−
y
+
4
=
0
.
See Solution
Problem 22957
Calculate the sum:
−
129.3
+
(
−
20.3
)
=
-129.3 + (-20.3) =
−
129.3
+
(
−
20.3
)
=
(Type an integer or a decimal.)
See Solution
Problem 22958
A supplier makes clamps A, B, C. Type C = 10 + (A + B), B = 3A, total = 410. Find type A clamps produced.
See Solution
Problem 22959
Evaluate the expression for x=2:
2
x
2
+
3
(
x
+
x
)
+
4
=
[
?
]
2 x^{2}+3(x+x)+4=[?]
2
x
2
+
3
(
x
+
x
)
+
4
=
[
?]
See Solution
Problem 22960
Solve for real solutions of the equation using the quadratic formula:
3
x
(
x
+
2
)
=
4
3 x(x+2)=4
3
x
(
x
+
2
)
=
4
.
See Solution
Problem 22961
Find an expression to determine how much Muhundan owes after borrowing \$243 and repaying \$162.
See Solution
Problem 22962
An ice cube tray has 12 identical wells, each
2
c
m
2 \mathrm{~cm}
2
cm
deep. What is the total volume it can hold? Options: A)
100
c
m
3
100 \mathrm{~cm}^{3}
100
cm
3
B)
82
c
m
3
82 \mathrm{~cm}^{3}
82
cm
3
C)
96
c
m
3
96 \mathrm{~cm}^{3}
96
cm
3
D)
78
c
m
3
78 \mathrm{~cm}^{3}
78
cm
3
E)
50
c
m
3
50 \mathrm{~cm}^{3}
50
cm
3
See Solution
Problem 22963
Evaluate
2
a
2
−
4
b
−
4
a
(
b
−
a
)
2 a^{2}-4 b-4 a(b-a)
2
a
2
−
4
b
−
4
a
(
b
−
a
)
for
a
=
4
a=4
a
=
4
and
b
=
7
b=7
b
=
7
. What is the result?
See Solution
Problem 22964
What is the probability of getting 0 heads and 3 tails when flipping 3 fair coins? Round to the thousandths or give as a fraction.
See Solution
Problem 22965
What is
1
/
2
÷
1
/
8
1 / 2 \div 1 / 8
1/2
÷
1/8
?
See Solution
Problem 22966
Solve the inequality:
3
x
2
+
10
x
>
8
3 x^{2}+10 x>8
3
x
2
+
10
x
>
8
.
See Solution
Problem 22967
A football team lost 14 yards on one play and 4 yards on another. What is the total loss in yards?
See Solution
Problem 22968
Calculate:
−
2
+
(
−
9
)
=
-2 + (-9) =
−
2
+
(
−
9
)
=
See Solution
Problem 22969
Calculate:
−
7
+
(
−
4
)
=
-7 + (-4) =
−
7
+
(
−
4
)
=
See Solution
Problem 22970
Add 83.3 and -91.2. What is the result?
83.3
+
(
−
91.2
)
=
83.3 + (-91.2) =
83.3
+
(
−
91.2
)
=
(Type an integer or a decimal.)
See Solution
Problem 22971
Factor the quadratic function
f
(
x
)
=
5
x
2
−
21
x
+
4
f(x)=5 x^{2}-21 x+4
f
(
x
)
=
5
x
2
−
21
x
+
4
.
See Solution
Problem 22972
Calculate the sum:
−
11
+
(
−
6
)
=
-11 + (-6) =
−
11
+
(
−
6
)
=
See Solution
Problem 22973
Calculate the sum:
9
+
(
−
7
)
=
9 + (-7) =
9
+
(
−
7
)
=
See Solution
Problem 22974
Levi can choose from 5 colors, 3 rims, and 4 wheels. How many car combinations can he create?
See Solution
Problem 22975
A painter is painting a right triangle gable with sides
8
′
−
4
"
8' - 4"
8
′
−
4"
and
8
′
−
4
"
8' - 4"
8
′
−
4"
. What is the area to paint, rounded to the nearest hundredth?
See Solution
Problem 22976
Find how much Muhundan owes after borrowing \
218
a
n
d
r
e
p
a
y
i
n
g
$
153.
C
a
l
c
u
l
a
t
e
:
218 and repaying \$153. Calculate:
218
an
d
re
p
a
y
in
g
$153.
C
a
l
c
u
l
a
t
e
:
218 - 153 = ?$
See Solution
Problem 22977
Avery can choose 1 math, 1 history, and 1 science class. How many different schedules are possible? Calculate:
4
×
4
×
3
4 \times 4 \times 3
4
×
4
×
3
.
See Solution
Problem 22978
Calculate the sum of -92 and -88:
−
92
+
(
−
88
)
-92 + (-88)
−
92
+
(
−
88
)
.
See Solution
Problem 22979
How many car combinations can Aiden create with 5 paint colors, 2 wheels, 5 rims, and 4 window tints?
See Solution
Problem 22980
Solve the inequality
3
x
2
+
10
x
>
8
3 x^{2}+10 x>8
3
x
2
+
10
x
>
8
and graph the solution.
See Solution
Problem 22981
Avi can choose 1 math, 1 history, 1 literature, and 1 science class. How many schedules can Avi create? Calculate:
3
×
2
×
3
×
3
3 \times 2 \times 3 \times 3
3
×
2
×
3
×
3
.
See Solution
Problem 22982
Find the angle of bend
a
a
a
in a right triangle where the rise is 14" and the base is 34". Choices:
22.38
d
e
g
22.38 \mathrm{deg}
22.38
deg
,
21.25
d
e
g
21.25 \mathrm{deg}
21.25
deg
,
42.97
d
e
g
42.97 \mathrm{deg}
42.97
deg
,
37.65
d
e
g
37.65 \mathrm{deg}
37.65
deg
.
See Solution
Problem 22983
Calculate the sum:
−
8
+
(
−
6
)
=
-8 + (-6) =
−
8
+
(
−
6
)
=
See Solution
Problem 22984
Add:
4
+
7
=
4 + 7 =
4
+
7
=
See Solution
Problem 22985
Find the perimeter of a right triangle with sides 24 and 32. Round your answer to the nearest hundredth.
See Solution
Problem 22986
Add
23
+
(
−
23
)
23 + (-23)
23
+
(
−
23
)
and write the answer in a number line:
23
+
(
−
23
)
=
23 + (-23) =
23
+
(
−
23
)
=
See Solution
Problem 22987
Solve the inequality
3
x
2
+
10
x
>
8
3 x^{2}+10 x>8
3
x
2
+
10
x
>
8
and graph the solution.
See Solution
Problem 22988
Find the opposite of the number 7. What is it?
See Solution
Problem 22989
Find the missing side of a right triangle with sides 6.5 and 4. Round your answer to the nearest hundredth. Use
a
2
+
b
2
=
c
2
a^2 + b^2 = c^2
a
2
+
b
2
=
c
2
.
See Solution
Problem 22990
Solve the inequality:
x
+
3
x
+
6
≥
0
\frac{x+3}{x+6} \geq 0
x
+
6
x
+
3
≥
0
.
See Solution
Problem 22991
Find the opposite of the number
−
4
7
-\frac{4}{7}
−
7
4
. What is it?
See Solution
Problem 22992
Find the opposite of -15. What is it?
See Solution
Problem 22993
Find the length of the banister for a staircase that rises
15
f
t
15 \mathrm{ft}
15
ft
and spans
20
f
t
20 \mathrm{ft}
20
ft
. Round to the nearest tenth.
See Solution
Problem 22994
Evaluate:
8
−
(
+
5
)
=
8 - (+5) =
8
−
(
+
5
)
=
See Solution
Problem 22995
Find the hypotenuse of a right triangle with a
3
2
∘
32^{\circ}
3
2
∘
angle and an opposite side of 12. Round to the nearest hundredth.
See Solution
Problem 22996
Subtract 1 from 4. What is
4
−
1
4 - 1
4
−
1
?
See Solution
Problem 22997
Jamil cuts
2.4
c
m
2.4 \mathrm{~cm}
2.4
cm
from a
27
c
m
27 \mathrm{~cm}
27
cm
board. What is the new length? A)
25.4
c
m
25.4 \mathrm{~cm}
25.4
cm
B)
26.4
c
m
26.4 \mathrm{~cm}
26.4
cm
C)
25.6
c
m
25.6 \mathrm{~cm}
25.6
cm
D)
24.6
c
m
24.6 \mathrm{~cm}
24.6
cm
See Solution
Problem 22998
Calculate the result of the subtraction:
−
4
−
(
−
1
)
=
-4 - (-1) =
−
4
−
(
−
1
)
=
See Solution
Problem 22999
Evaluate:
−
3
−
19
=
-3 - 19 =
−
3
−
19
=
See Solution
Problem 23000
Find the smallest AWG size for a copper wire (length
250
ft
250 \, \text{ft}
250
ft
) with resistance ≤
0.16
Ω
0.16 \, \Omega
0.16
Ω
; resistivity is
1.68
×
1
0
−
8
Ω
⋅
m
1.68 \times 10^{-8} \, \Omega \cdot \text{m}
1.68
×
1
0
−
8
Ω
⋅
m
.
See Solution
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