Math

Problem 38401

Calculate the expression (2)×(4)×((5)1)(-2) \times (-4) \times ((-5) - 1).

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Problem 38402

Find the scale of an image that is 1.5 inches wide and 3 inches tall, representing a book that is 9 inches wide.

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Problem 38403

1. Find the scale of an image that is 1.5 inches wide for a 9-inch wide book.
2. Determine the actual height of a book that is 3 inches tall in the image.

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Problem 38404

Draw the Colombian flag (6 ft long) with yellow (2 ft), blue (1 ft), and red (1 ft) stripes at a scale of 1 cm to 2 ft.

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Problem 38405

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

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Problem 38406

Solve for xx in the equation 81=x881=x^{8}.

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Problem 38407

Solve the equation: 122x+5=1\sqrt{1-2 \cdot \sqrt{2 x+5}}=1.

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Problem 38408

Calculate 12523-125^{\frac{2}{3}}.

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Problem 38409

Calculate 363236^{\frac{3}{2}}.

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Problem 38410

Solve for nn in the equation 7838=14n+138(152n+1)-\frac{783}{8}=\frac{1}{4} n+\frac{13}{8}\left(\frac{15}{2} n+1\right).

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Problem 38411

Find the value of k(3)k(3) for the function k(t)=13t2k(t)=13 t-2.

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Problem 38412

Calculate 163216^{\frac{3}{2}}.

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Problem 38413

Calculate 643264^{\frac{3}{2}}.

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Problem 38414

Calculate 253225^{\frac{3}{2}}.

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Problem 38415

Analyze the polynomial h(x)=x63x517x3h(x)=x^{6}-3x^{5}-17x^{3} and determine its end behavior.

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Problem 38416

Analyze the polynomial g(x)=10x79x5+7x38xg(x)=-10 x^{7}-9 x^{5}+7 x^{3}-8 x to determine its end behavior.

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Problem 38417

Analyze the polynomial h(x)=7x6+3x45x2h(x)=-7 x^{6}+3 x^{4}-5 x^{2} and determine its end behavior.

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Problem 38418

Algebra: BDundefined\overrightarrow{B D} bisects ABC\angle A B C. Find xx and mABCm \angle A B C if mABD=5xm \angle A B D=5x, mDBC=3x+10m \angle D B C=3x+10.

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Problem 38419

Evaluate ((43)2)3\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}. Choose from: 4096729\frac{4096}{729}, 1024243\frac{1024}{243}, 1024243-\frac{1024}{243}, 4096729-\frac{4096}{729}.

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Problem 38420

Find an equivalent expression for ((34)4(34)3)2\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}.

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Problem 38421

Which expression equals ((1.5)5(0.7)4)3\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}? Options: (1.5)15(0.7)12\frac{(1.5)^{15}}{(0.7)^{12}}, (1.5)8(0.7)7\frac{(1.5)^{8}}{(0.7)^{7}}, 2.132.1^{3}, 2.1152.1^{15}.

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Problem 38422

Calculate 3123 \cdot \frac{1}{2}.

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Problem 38423

Evaluate ((14)7(14)6)2\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}. Options: 1, 1 \frac{1}{16}, 116\frac{1}{16}, 132\frac{1}{32}.

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Problem 38424

Simplify (3.2)(3.22)4(3.2)(3.2^2)^4. Choices: (3.2)9(3.2)^9, (3.2)8(3.2)^8, (3.2)7(3.2)^7, (3.2)6(3.2)^6.

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Problem 38425

What is the weight of the second lego pile if the total weight is 110.39 ounces and one pile is 5.914 ounces?

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Problem 38426

Choose the equivalent expression for (3)4(3)2\frac{(-3)^{4}}{(-3)^{2}}: 1) (3)2(3)4\frac{(-3)^{2}}{(-3)^{4}} 2) (3)6(3)4\frac{(-3)^{6}}{(-3)^{4}} 3) (3)(3)5\frac{(-3)}{(-3)^{5}} 4) (3)5(3)\frac{(-3)^{5}}{(-3)}

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Problem 38427

Calculate: 18÷218 \div 2 and 24÷3-24 \div -3.

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Problem 38428

Evaluate the expression: 12+25×34 \frac{1}{2} + \frac{2}{5} \times \frac{3}{4} and express your answer as a fraction or mixed number.

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Problem 38429

If 7.0 molAgNO37.0 \mathrm{~mol} \mathrm{AgNO}_{3} yields 3.5 molZn(NO3)23.5 \mathrm{~mol} \mathrm{Zn}\left(\mathrm{NO}_{3}\right)_{2}, how many moles can form? Round to tenths.

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Problem 38430

Find the volume (in liters) for 1.954 moles of argon at STP using the ideal gas law.

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Problem 38431

What is the sales tax on items totaling \$60.00 with a 4.5\% tax rate?

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Problem 38432

Find the volume of 225 moles of gas at STP using the ideal gas law.

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Problem 38433

Find the missing yy values for y=4x3y = 4x - 3 when x=2x = -2 and x=0x = 0.

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Problem 38434

Сумата на четири последователни естествени числа е 66. Какво е най-малкото от тях?

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Problem 38435

What is the term for sulfuric acid's electrolyte capacity when it fully dissociates in water? Options: non-electrolyte, strong electrolyte, weak electrolyte.

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Problem 38436

A cylinder holds 1.20 L1.20 \mathrm{~L} of gas at 45.0 atm and 314 K314 \mathrm{~K}. What is the new volume at 96.0 atm and 420 K420 \mathrm{~K}?

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Problem 38437

Find g(x)g(x) for f(x)=x3f(x)=x^{3}, where g(x)=2f(x)1g(x)=2f(x)-1. What do you need help with?

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Problem 38438

Две тръби пълнят басейн, едната за 8 часа, а другата за 6. Кога ще е пълен басейнът, ако втората тръба пусне 1 час по-късно?

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Problem 38439

Сума на три последователни нечетни числа е 99. Какво е най-голямото от тях?

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Problem 38440

Explain how g(x)=2x3g(x) = 2|x-3| is derived from f(x)=xf(x) = |x| and how to graph both functions.

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Problem 38441

В кутия с 75 топчета (сини, зелени, червени): сини = 2 * зелени; сини = червени - 15. Колко са червените топчета?

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Problem 38442

Тримата работници заедно могат да свършат 75\% от работа за колко часа, ако първият работи за 30 часа, вторият за 40, а третият за 60?

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Problem 38443

Find the transformation of the functions f(x)=xf(x) = |x| and g(x)=2f(x3)g(x) = 2f(x-3).

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Problem 38444

Identify the number set(s) for 16\sqrt{-16}. Choose all that apply: real, complex, rational, imaginary, irrational.

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Problem 38445

Which two conditional statement forms always share the same truth value? A. statement and inverse B. inverse and contrapositive C. converse and contrapositive D. converse and inverse

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Problem 38446

Два влака с скорости 120 km/h120 \mathrm{~km/h} и 100 km/h100 \mathrm{~km/h} тръгват от гара. След колко минути разстоянието между тях е 275 km275 \mathrm{~km}?

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Problem 38447

Determine if the statements are the inverse, converse, or contrapositive of: "If two lines form equal adjacent angles, then they are perpendicular." a. If two lines are not perpendicular, then they do not form equal adjacent angles. b. If two lines do not form equal adjacent angles, then they are not perpendicular.

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Problem 38448

Translate the function f(x)=x3f(x)=x^{3} right 1 unit and down 1 unit.

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Problem 38449

Solve the equation: 12=2x+x+3-12=2x+x+3.

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Problem 38450

Factor the expression: x22x80x^{2}-2 x-80.

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Problem 38451

Calculate the range of the following traveler spending data (in billions): 20.9,33.1,21.8,58.5,23.5,110.9,30.4,24.9,74.1,60.3,40.4,45.420.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4. Round to two decimal places.

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Problem 38452

Solve for xx in the equation: x5=5x - 5 = -5.

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Problem 38453

Two groups measure fall times for a ball. Find averages, percentage errors, standard deviations, and variances. Round to two decimals.

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Problem 38454

Find the value of xx given PM=2x5P M=2 x-5, PN=6xP N=6 x, and MN=5x+4M N=5 x+4.

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Problem 38455

Solve the equation: 5x92x=35x - 9 - 2x = 3.

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Problem 38456

Find the expected number of times you wait over 44 minutes in 29 visits, given mean 42 min and SD 5 min.

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Problem 38457

Translate the function f(x)=xf(x)=|x| right 3 units and up 2 units.

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Problem 38458

Factor the expression: x2+4x+3x^{2}+4x+3.

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Problem 38459

Factor the expression: x2+4x+3x^{2}+4 x+3.

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Problem 38460

Find how many days Mamadou's commute is between 23 and 25 minutes in a year, given mean 28 and SD 3.

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Problem 38461

Factor the trinomial: 3x2+14x+83 x^{2}+14 x+8

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Problem 38462

Solve for xx in the equation: 152x=3x15 - 2x = 3x.

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Problem 38463

Calculate the total seats in Section A (9 rows, 8 seats) and Section B (4 rows, 7 seats). Also, find streamers from 30 and 40 yards cut into 5-yard pieces.

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Problem 38464

Calculate the following divisions:
24÷81624 \div 816, 32÷19232 \div 192, 17÷273617 \div 2736, 29÷820729 \div 8207, 48÷128048 \div 1280, 73÷357773 \div 3577, 19÷433219 \div 4332, 22÷743922 \div 7439, 26÷930226 \div 9302, 67÷522667 \div 5226, 84÷299984 \div 2999, 71÷610371 \div 6103.

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Problem 38465

Using Chebyshev's theorem, find the percentage of values between 40 and 120 for a mean of 80 and SD of 20.

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Problem 38466

1. What is 48+38\frac{4}{8}+\frac{3}{8}?

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Problem 38467

Factor the trinomial: 2x2+21x+492x^{2} + 21x + 49.

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Problem 38468

Calculate (2×1.8)54×6.4\frac{(2 \times 1.8)^{5}}{4 \times 6.4}, round to 3 sig figs, find percentage error, and express as a×10ka \times 10^{k}.

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Problem 38469

Find the area of a rectangle with sides 7.6×102 cm7.6 \times 10^{2} \mathrm{~cm} and 1.5×103 cm1.5 \times 10^{3} \mathrm{~cm} in scientific notation. Then, calculate the percentage error of an estimate of 1200000 cm21200000 \mathrm{~cm}^{2}.

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Problem 38470

Using Chebyshev's theorem, find the percentage of values between 40-120 and 45-115 for mean 80 and std dev 20.

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Problem 38471

Solve triangle ABCABC with C=90C=90^{\circ}, A=34.4A=34.4^{\circ}, c=17.4ftc=17.4 \mathrm{ft}. Find BB, aa, and bb (round to nearest tenth).

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Problem 38472

Calculate the total number of seats in Section A (9 rows, 8 seats each) and Section B (4 rows, 7 seats each).

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Problem 38473

A 15.5 m ladder leans against a wall at an angle of 48° 20'. Find the height dd it reaches on the wall. dd \approx m.

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Problem 38474

Carpet a room 24 ft by 18 ft. 1. Find the area. 2. How many square yards are needed? Use 1 square yard=9 square feet1 \text{ square yard} = 9 \text{ square feet}.

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Problem 38475

Solve right triangle ABC with C=90C=90^{\circ}, B=65.5B=65.5^{\circ}, b=126b=126 in. Find AA, aa, and cc (round as needed).

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Problem 38476

Use Chebyshev's theorem for a mean of 80 and std dev of 20. Find % of values between 40-120 and 45-115.

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Problem 38477

Solve triangle ABC with C=90°, A=32.6°, and c=18.9 ft. Find B, a, and b. Round to the nearest tenth.

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Problem 38478

Calculate 3.93×1036.57×103\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}.

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Problem 38479

Find the slope-intercept form of the line through points (-1,0) and (0,4).

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Problem 38480

Simplify the expression: 12(8x+2)\frac{1}{2}(8 x+2).

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Problem 38481

Solve the equation: 10(g+5)=2(g+9)10(g+5)=2(g+9).

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Problem 38482

Find the range for at least 75%75\% of Americans' online time using Chebyshev's theorem, with an average of 4 hours and SD of 27 min.

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Problem 38483

An airplane was at 368 feet and ascended 250 feet. What is its new elevation? Calculate: 368+250368 + 250.

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Problem 38484

Find the range for online time where at least 75% of Americans lie, using Chebyshev's theorem. Average: 4 hrs, SD: 27 min.

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Problem 38485

Determine the slope-intercept form of the line through points (-3,1) and (1,-3).

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Problem 38486

If PQQR\overline{P Q} \cong \overline{Q R} with PQ=3x8P Q=3x-8, QR=2xQ R=2x, and RS=1.5x+4R S=1.5x+4, is PS=24P S=24 true or false?

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Problem 38487

Calculate 2.86×1036.25×109\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}.

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Problem 38488

Calculate the value of 8.11×1028.11 \times 10^{-2}.

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Problem 38489

Find the range, variance, and standard deviation for the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Range is 28. Use sample formulas.

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Problem 38490

Convert the speed of light 2.998×108 m/s2.998 \times 10^{8} \mathrm{~m/s} to kilometers per hour (km/h)(\mathrm{km/h}).

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Problem 38491

Find the length of PS\overline{PS} if RR is the midpoint, with PR=7x5\overline{PR} = 7x-5 and RS=4(x+1)\overline{RS} = 4(x+1).

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Problem 38492

Find the range, variance, and standard deviation of the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Use sample formulas.

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Problem 38493

Convert a speed of 1.07928×1091.07928 \times 10^{9} m/s to miles per minute (mi/min).

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Problem 38494

Solve for xx in the equation 3mx+1=183 m^{x+1} = 18.

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Problem 38495

Find the monomial function(s) with a maximum from: y=x3y=x^{3}, y=4xy=-4 x, y=3x4y=-3 x^{4}, y=2x12y=-2 x^{12}, y=3x3y=3 x^{3}, y=6x8y=6 x^{8}.

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Problem 38496

Solve for xx in the equation x62=123x - 62 = 123 by isolating the variable.

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Problem 38497

Solve for xx in the equation x62=123x - 62 = 123 and show your steps.

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Problem 38498

Find the length of AZ\overline{A Z} given: YA=22Y A=22, AZ=16xA Z=16 x, and YZ=166Y Z=166.

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Problem 38499

What property does the equation (3)(4d)=(4d)(3)(3)(4 d)=(4 d)(3) demonstrate: commutative, associative, distributive, or multiplicative inverse?

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Problem 38500

An airplane flew at 368 feet and ascended 250 feet. What is its new elevation? Calculate: 368+250368 + 250.

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