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/
Math
Solve
Problem 30301
How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?
See Solution
Problem 30302
Calculate the perimeter of parallelogram
A
B
C
D
ABCD
A
BC
D
with vertices
A
(
1
,
7
)
A(1,7)
A
(
1
,
7
)
,
B
(
5
,
4
)
B(5,4)
B
(
5
,
4
)
,
C
(
0
,
−
5
)
C(0,-5)
C
(
0
,
−
5
)
, and
D
(
−
4
,
−
2
)
D(-4,-2)
D
(
−
4
,
−
2
)
.
See Solution
Problem 30303
Calculate the perimeter of parallelogram
A
B
C
D
ABCD
A
BC
D
with vertices
A
(
1
,
7
)
A(1,7)
A
(
1
,
7
)
,
B
(
5
,
4
)
B(5,4)
B
(
5
,
4
)
,
C
(
0
,
−
5
)
C(0,-5)
C
(
0
,
−
5
)
, and
D
(
−
4
,
−
2
)
D(-4,-2)
D
(
−
4
,
−
2
)
.
See Solution
Problem 30304
How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate:
8
,
947
+
12
,
783
8,947 + 12,783
8
,
947
+
12
,
783
.
See Solution
Problem 30305
A rectangle has area
A
=
25
i
n
2
A = 25 \mathrm{in}^2
A
=
25
in
2
. If
w
=
10
w = 10
w
=
10
in, find
l
l
l
. If
w
=
15
w = 15
w
=
15
in, find
l
l
l
. Rearrange
A
=
l
w
A = lw
A
=
lw
for
l
l
l
.
See Solution
Problem 30306
Calculate the heat needed to raise the temperature of an
8.21
g
8.21 \mathrm{~g}
8.21
g
gold sample by
6.
2
∘
C
6.2^{\circ} \mathrm{C}
6.
2
∘
C
with specific heat
0.13
J
/
g
∘
C
0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}
0.13
J
/
g
∘
C
.
See Solution
Problem 30307
解不等式
2
x
−
6
>
−
16
2x - 6 > -16
2
x
−
6
>
−
16
和
3
x
−
10
≤
8
3x - 10 \leq 8
3
x
−
10
≤
8
。
See Solution
Problem 30308
What is 32,408 in base ten? (A) 32,480 (B) 32,408 (C) 30,248 (D) 30,240
See Solution
Problem 30309
How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)
See Solution
Problem 30310
Find the value of
f
(
7
)
f(7)
f
(
7
)
for the function
f
(
x
)
=
2
x
2
−
6
f(x)=2 x^{2}-6
f
(
x
)
=
2
x
2
−
6
.
See Solution
Problem 30311
Graph the solution to the inequality:
5
x
−
17
>
8
5x - 17 > 8
5
x
−
17
>
8
or
−
4
x
−
2
≤
6
-4x - 2 \leq 6
−
4
x
−
2
≤
6
.
See Solution
Problem 30312
How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?
See Solution
Problem 30313
Find the base
b
b
b
of a triangle when the area
A
=
100
A=100
A
=
100
and height
h
=
20
h=20
h
=
20
using
A
=
1
2
b
h
A=\frac{1}{2} b h
A
=
2
1
bh
.
See Solution
Problem 30314
Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?
See Solution
Problem 30315
How many thorium atoms (240 pm radius) fit in a distance of
1.40
m
m
1.40 \mathrm{~mm}
1.40
mm
?
See Solution
Problem 30316
Graph the elevations where the service elevator doesn't stop: solve the inequality
4
<
x
15
<
16
4 < \frac{x}{15} < 16
4
<
15
x
<
16
for
x
x
x
.
See Solution
Problem 30317
Find the base
b
b
b
of a triangle with area
A
=
100
A=100
A
=
100
and height
h
=
20
h=20
h
=
20
using the formula
A
=
1
2
b
h
A=\frac{1}{2} b h
A
=
2
1
bh
.
See Solution
Problem 30318
Find sums or differences that equal 12,492:
8
,
572
+
3
,
920
8,572+3,920
8
,
572
+
3
,
920
,
7
,
279
+
5
,
203
7,279+5,203
7
,
279
+
5
,
203
,
4
,
100
+
8
,
392
4,100+8,392
4
,
100
+
8
,
392
,
15
,
728
−
3
,
246
15,728-3,246
15
,
728
−
3
,
246
,
19
,
412
−
6
,
920
19,412-6,920
19
,
412
−
6
,
920
.
See Solution
Problem 30319
Factor the polynomial
x
3
+
3
x
2
−
4
x
−
12
x^{3}+3 x^{2}-4 x-12
x
3
+
3
x
2
−
4
x
−
12
.
See Solution
Problem 30320
Calculate the specific heat capacity of
25.0
g
25.0 \mathrm{~g}
25.0
g
of mercury heated from
25.
0
∘
C
25.0^{\circ} \mathrm{C}
25.
0
∘
C
to
15
5
∘
C
155^{\circ} \mathrm{C}
15
5
∘
C
with 455 J.
See Solution
Problem 30321
Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.
See Solution
Problem 30322
Find the derivative of the function
y
=
sin
x
+
cos
x
x
y=\frac{\sin x+\cos x}{x}
y
=
x
s
i
n
x
+
c
o
s
x
.
See Solution
Problem 30323
Find the volume in cubic centimeters
(
c
m
3
)
\left(\mathrm{cm}^{3}\right)
(
cm
3
)
of a single thorium atom, assuming it's a sphere.
See Solution
Problem 30324
Mr. Olson had
16
L
16 \mathrm{~L}
16
L
of paint. After using
3
L
250
m
l
3 \mathrm{~L} 250 \mathrm{ml}
3
L
250
ml
and
80
%
80\%
80%
of the rest, how much is left?
See Solution
Problem 30325
Calculate how many thorium atoms (240 pm radius) are needed to span
1.40
m
m
1.40 \mathrm{~mm}
1.40
mm
.
See Solution
Problem 30326
Find the derivative
f
′
(
π
)
f^{\prime}(\pi)
f
′
(
π
)
for the function
f
(
x
)
=
1
1
+
cos
x
f(x)=\frac{1}{1+\cos x}
f
(
x
)
=
1
+
c
o
s
x
1
.
See Solution
Problem 30327
Calculate
(
−
8
)
2
(-8)^{2}
(
−
8
)
2
. What is the result?
See Solution
Problem 30328
A car's tank is
80
%
80\%
80%
full. After using
30
%
30\%
30%
of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.
See Solution
Problem 30329
Calculate
(
−
7
)
2
(-7)^{2}
(
−
7
)
2
. What is the result?
See Solution
Problem 30330
A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.
See Solution
Problem 30331
Calculate
(
3
8
)
2
\left(\frac{3}{8}\right)^{2}
(
8
3
)
2
.
See Solution
Problem 30332
Find the weight of one mole of pennies if a dozen weigh
6.022
×
1
0
23
6.022 \times 10^{23}
6.022
×
1
0
23
grams.
See Solution
Problem 30333
Solve the inequality
−
5
z
+
6
≥
−
3
z
−
4
-5z + 6 \geq -3z - 4
−
5
z
+
6
≥
−
3
z
−
4
and express the solution in interval notation.
See Solution
Problem 30334
Find the average cost per item given the cost function
C
(
x
)
=
18
x
+
1400
C(x)=18x+1400
C
(
x
)
=
18
x
+
1400
for producing 100 items. What is the average cost?
See Solution
Problem 30335
Find the value of the variable var after executing: var = 100; var = var + 100; var = var + var.
See Solution
Problem 30336
Determine the slope,
m
m
m
, of the tangent line to the curve
y
=
7
+
5
x
2
−
2
x
3
y=7+5 x^{2}-2 x^{3}
y
=
7
+
5
x
2
−
2
x
3
at
x
=
a
x=a
x
=
a
.
See Solution
Problem 30337
Calculate the value of
4
+
8
⋅
4
4 + 8 \cdot 4
4
+
8
⋅
4
. What is the result?
See Solution
Problem 30338
See Solution
Problem 30339
The temperature starts at
−
1
4
∘
C
-14^{\circ} \mathrm{C}
−
1
4
∘
C
and drops
5
∘
C
5^{\circ} \mathrm{C}
5
∘
C
,
3
∘
C
3^{\circ} \mathrm{C}
3
∘
C
, and
1
∘
C
1^{\circ} \mathrm{C}
1
∘
C
. What's the final temperature?
See Solution
Problem 30340
Evaluate:
−
8
+
2
⋅
5
2
−
7
=
-8 + 2 \cdot 5^{2} - 7 =
−
8
+
2
⋅
5
2
−
7
=
See Solution
Problem 30341
Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?
See Solution
Problem 30342
Find the percentage equivalent of
7
4
\frac{7}{4}
4
7
. Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.
See Solution
Problem 30343
Solve the inequality
x
+
1
≥
5
x + 1 \geq 5
x
+
1
≥
5
and express the solution in interval notation.
See Solution
Problem 30344
Evaluate:
7
−
5
(
8
+
6
)
=
7 - 5(8 + 6) =
7
−
5
(
8
+
6
)
=
See Solution
Problem 30345
What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs
1.79
×
1
0
−
22
1.79 \times 10^{-22}
1.79
×
1
0
−
22
grams?
See Solution
Problem 30346
Find the value of
csc
(
−
1305
)
\csc (-1305)
csc
(
−
1305
)
.
See Solution
Problem 30347
Divide 1.9 by 0.76.
See Solution
Problem 30348
Find the weight of 12 silver atoms given that one silver atom weighs
1.79
×
1
0
−
22
1.79 \times 10^{-22}
1.79
×
1
0
−
22
grams.
See Solution
Problem 30349
Solve the inequality
x
+
1
≥
5
x + 1 \geq 5
x
+
1
≥
5
and express the solution in interval notation.
See Solution
Problem 30350
Evaluate:
−
36
−
6
(
6
−
10
)
2
=
-36-6(6-10)^{2}=
−
36
−
6
(
6
−
10
)
2
=
See Solution
Problem 30351
4,860 people visited a fair on Saturday, which was
20
%
20\%
20%
more than Friday. Find Friday's visitor count.
See Solution
Problem 30352
Evaluate:
(
20
÷
5
)
3
+
9
2
÷
27
(20 \div 5)^{3}+9^{2} \div 27
(
20
÷
5
)
3
+
9
2
÷
27
See Solution
Problem 30353
Solve for
x
x
x
:
220
,
000
x
+
475
=
0
\frac{220,000}{x+475}=0
x
+
475
220
,
000
=
0
See Solution
Problem 30354
Evaluate:
−
3
+
2
[
−
1
+
(
18
÷
3
2
)
]
-3+2\left[-1+\left(18 \div 3^{2}\right)\right]
−
3
+
2
[
−
1
+
(
18
÷
3
2
)
]
See Solution
Problem 30355
Calculate:
300.42
−
15.96
0.213
=
300.42 - \frac{15.96}{0.213} =
300.42
−
0.213
15.96
=
See Solution
Problem 30356
Find the second least positive value (in radians) for
β
\beta
β
given
11
π
/
6
11\pi/6
11
π
/6
and for
γ
\gamma
γ
given
tan
(
γ
)
=
1
\tan(\gamma)=1
tan
(
γ
)
=
1
.
See Solution
Problem 30357
Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.
See Solution
Problem 30358
If
tan
(
γ
)
=
1
\tan (\gamma)=1
tan
(
γ
)
=
1
, what are the least and second least positive values of
γ
\gamma
γ
in radians?
See Solution
Problem 30359
Calculate:
(
15
÷
5
)
+
3
(
9
−
7
)
2
=
(15 \div 5)+3(9-7)^{2}=
(
15
÷
5
)
+
3
(
9
−
7
)
2
=
See Solution
Problem 30360
Find the distance traveled if speed is 45 miles/hour for 2/3 hour. Use
d
=
r
t
d = rt
d
=
r
t
.
See Solution
Problem 30361
Calculate
(
−
5
)
3
+
15
÷
3
(-5)^{3} + 15 \div 3
(
−
5
)
3
+
15
÷
3
. What is the simplified result?
See Solution
Problem 30362
Calculate
0.0180
−
0.0059
0.03168
\frac{0.0180-0.0059}{0.03168}
0.03168
0.0180
−
0.0059
.
See Solution
Problem 30363
Find the complement of an angle measuring
3
9
∘
165
0
′
′
39^{\circ} 1650^{\prime \prime}
3
9
∘
165
0
′′
.
See Solution
Problem 30364
How many cm are in 1 yard if there are 2.54 cm per inch? Show your work without rounding.
See Solution
Problem 30365
A
28.4
g
28.4 \mathrm{~g}
28.4
g
aluminum sample at
39.4
∘
C
39.4{ }^{\circ} \mathrm{C}
39.4
∘
C
heats
50.0
g
50.0 \mathrm{~g}
50.0
g
of water from
21.0
0
∘
C
21.00^{\circ} \mathrm{C}
21.0
0
∘
C
to
23.0
0
∘
C
23.00^{\circ} \mathrm{C}
23.0
0
∘
C
. Find aluminum's specific heat.
See Solution
Problem 30366
Evaluate a)
(
−
8
)
2
(-8)^{2}
(
−
8
)
2
, b)
−
(
−
8
)
2
-(-8)^{2}
−
(
−
8
)
2
, and c)
−
8
2
-8^{2}
−
8
2
. What are the results?
See Solution
Problem 30367
Evaluate these expressions for
x
=
−
8
x = -8
x
=
−
8
: a)
x
2
x^{2}
x
2
, b)
−
x
2
-x^{2}
−
x
2
, c)
(
−
x
)
2
(-x)^{2}
(
−
x
)
2
.
See Solution
Problem 30368
What is the probability of correctly guessing a 5-digit PIN from a 10-key keypad on the first try? Use the multiplication rule.
See Solution
Problem 30369
What is the probability of guessing a correct 5-digit pin code from a 7-key keypad on the first try? Simplify your answer.
See Solution
Problem 30370
How many
M
m
\mathrm{Mm}
Mm
are in 382
d
m
\mathrm{dm}
dm
?
See Solution
Problem 30371
Evaluate
−
9
z
−
6
-9z - 6
−
9
z
−
6
for
z
=
3
z = 3
z
=
3
. What is the result?
See Solution
Problem 30372
Evaluate the piecewise function
f
(
x
)
f(x)
f
(
x
)
where
f
(
−
9
)
f(-9)
f
(
−
9
)
and find
f
(
4
)
f(4)
f
(
4
)
.
See Solution
Problem 30373
Evaluate
r
2
−
s
2
r^{2}-s^{2}
r
2
−
s
2
for
r
=
−
6
r=-6
r
=
−
6
and
s
=
−
7
s=-7
s
=
−
7
. What is
r
2
−
s
2
=
?
r^{2}-s^{2}=?
r
2
−
s
2
=
?
See Solution
Problem 30374
Calculate the distance between the points
(
−
6
,
−
5
)
(-6,-5)
(
−
6
,
−
5
)
and
(
2
,
0
)
(2,0)
(
2
,
0
)
.
See Solution
Problem 30375
Calculate the number of
C
L
\mathrm{CL}
CL
in
1.18
×
1
0
2
f
l
o
z
1.18 \times 10^{2} \mathrm{floz}
1.18
×
1
0
2
floz
.
See Solution
Problem 30376
Calculate
(
4
7
)
2
\left(\frac{4}{7}\right)^{2}
(
7
4
)
2
.
See Solution
Problem 30377
Mix how many gallons of
80
%
80\%
80%
antifreeze with 60 gallons of
30
%
30\%
30%
antifreeze for a
70
%
70\%
70%
mixture? Use six steps.
See Solution
Problem 30378
Evaluate:
−
3
+
2
[
−
2
+
(
45
÷
3
2
)
]
-3 + 2[-2 + (45 \div 3^{2})]
−
3
+
2
[
−
2
+
(
45
÷
3
2
)]
See Solution
Problem 30379
In a jar,
30
%
30\%
30%
of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.
See Solution
Problem 30380
Convert
4.65
×
1
0
7
4.65 \times 10^{7}
4.65
×
1
0
7
yards to megameters (Mm). How many Mm is that?
See Solution
Problem 30381
Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths =
=
=
=
b. 35 thousandths + 8 thousandths =
=
=
=
hundredths c. 6 tenths + 3 thousandths =
=
=
=
See Solution
Problem 30382
Calculate
(
−
9
)
2
(-9)^{2}
(
−
9
)
2
. What is the result?
See Solution
Problem 30383
A cyclist took 3 h to cycle from Town X to Town Y at 12 km/h. If speed increases by 3 km/h, how long will the journey take?
See Solution
Problem 30384
Solve the inequality
−
4
x
>
8
-4x > 8
−
4
x
>
8
and express the solution in interval notation.
See Solution
Problem 30385
Evaluate:
−
6
+
3
⋅
5
2
−
9
=
-6 + 3 \cdot 5^{2} - 9 =
−
6
+
3
⋅
5
2
−
9
=
See Solution
Problem 30386
Evaluate:
−
33
−
6
(
6
−
10
)
2
-33 - 6(6 - 10)^{2}
−
33
−
6
(
6
−
10
)
2
. What is the result?
See Solution
Problem 30387
Calculate:
(
4
÷
2
)
+
4
(
8
−
2
)
2
(4 \div 2) + 4(8-2)^{2}
(
4
÷
2
)
+
4
(
8
−
2
)
2
. What is the result?
See Solution
Problem 30388
Solve the inequality
−
5
x
≤
30
-5 x \leq 30
−
5
x
≤
30
and express the solution in interval notation.
See Solution
Problem 30389
Find
f
+
g
f+g
f
+
g
,
f
−
g
f-g
f
−
g
,
f
g
fg
f
g
, and
f
g
\frac{f}{g}
g
f
for given functions
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
in three cases.
See Solution
Problem 30390
Evaluate
r
2
−
s
2
r^{2}-s^{2}
r
2
−
s
2
for
r
=
−
3
r=-3
r
=
−
3
and
s
=
−
4
s=-4
s
=
−
4
. What is the result?
See Solution
Problem 30391
Find
f
+
g
f+g
f
+
g
,
f
−
g
f-g
f
−
g
,
f
g
fg
f
g
, and
f
g
\frac{f}{g}
g
f
for
f
(
x
)
=
3
x
+
4
f(x)=3x+4
f
(
x
)
=
3
x
+
4
and
g
(
x
)
=
2
x
−
1
g(x)=2x-1
g
(
x
)
=
2
x
−
1
.
See Solution
Problem 30392
Evaluate a)
x
2
x^{2}
x
2
, b)
−
x
2
-x^{2}
−
x
2
, and c)
(
−
x
)
2
(-x)^{2}
(
−
x
)
2
for
x
=
−
8
x = -8
x
=
−
8
. Find values for a), b), and c).
See Solution
Problem 30393
Calculate
3
+
9
⋅
6
3 + 9 \cdot 6
3
+
9
⋅
6
. What is the result?
See Solution
Problem 30394
Evaluate:
(
35
÷
7
)
3
+
9
2
÷
27
(35 \div 7)^{3}+9^{2} \div 27
(
35
÷
7
)
3
+
9
2
÷
27
See Solution
Problem 30395
Minimize the cost function
C
(
x
,
y
)
=
3000
+
600
x
2
+
700
y
2
C(x, y) = 3000 + 600x^2 + 700y^2
C
(
x
,
y
)
=
3000
+
600
x
2
+
700
y
2
for pounds of sulfur (
x
x
x
) and lead (
y
y
y
) removed daily.
See Solution
Problem 30396
Convert
7.98
×
1
0
5
7.98 \times 10^{5}
7.98
×
1
0
5
tons to gigagrams (Gg) and report the answer with 3 significant figures.
See Solution
Problem 30397
Find the implicit derivative of
y
−
cos
y
=
x
+
1
y - \cos y = x + 1
y
−
cos
y
=
x
+
1
.
See Solution
Problem 30398
Peirson bought
4
1
3
4 \frac{1}{3}
4
3
1
pounds of shrimp. On Wednesday, he bought double. On Friday, he used
D
6
\frac{D}{6}
6
D
. How much did he use?
See Solution
Problem 30399
Evaluate:
7
−
5
(
9
+
8
)
=
7 - 5(9 + 8) =
7
−
5
(
9
+
8
)
=
See Solution
Problem 30400
Convert
2.25
×
1
0
12
2.25 \times 10^{12}
2.25
×
1
0
12
yards to
T
m
T m
T
m
and report the answer to 3 significant figures.
See Solution
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