Equation

Problem 12001

Solve for g in the equation C = (g + w) / 2.

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Problem 12002

Solve x2a2y2b2=1\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 for 'x' with no specific values for 'y', 'a', and 'b'.

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Problem 12003

Find the increase in carbon dioxide levels from 307 ppm in 1959 to 377 ppm in 2005, and calculate the percent increase. Round to the nearest tenth of a percent. Increase: parts per million, Percent increase: %\%

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Problem 12004

Find the percentage differences in sales between Seattle (390,000390,000) and Portland (245,000245,000) for 2012.

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Problem 12005

Find the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people/mi².

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Problem 12006

Calculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

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Problem 12007

Determine if each equation defines y as a function of xx: 11. x+y=16x+y=16, 12. x+y=25x+y=25, 13. x2+y=16x^{2}+y=16, 14. x2+y=25x^{2}+y=25, 15. x2+y2=16x^{2}+y^{2}=16, 16. x2+y2=25x^{2}+y^{2}=25, 17. x=y2x=y^{2}, 18. 4x=y24 x=y^{2}.

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Problem 12008

Find the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

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Problem 12009

Find the lengths of the sides of an isosceles triangle with a perimeter of 182 feet and the shortest side 40 feet shorter.

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Problem 12010

How many total votes were cast if Rahm Emanuel received 218,217 votes, which is 45.63%45.63\% of the total?

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Problem 12011

Solve the equation: 2(9r+17)=16r+62(9r + 17) = 16r + 6. Fill in the blanks and simplify each step.

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Problem 12012

A car's value fell from \$26,200 to \$24,400. Find the absolute and relative change. Round to the nearest dollar and tenth of a percent.

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Problem 12013

Determine the center and radius of the circle given by x2+12x+y24y+15=0x^{2}+12x+y^{2}-4y+15=0. Choose the correct option.

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Problem 12014

Calculate the increase in carbon dioxide from 325 ppm in 1959 to 373 ppm in 2005, and find the percent increase: %\%.

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Problem 12015

Solve the equation: 3x5=7x+113x - 5 = 7x + 11. What is the solution set? Choose A, B, or C.

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Problem 12016

Solve the equation: 0.95x0.99=12.933.85x0.95 x - 0.99 = 12.93 - 3.85 x. What is xx? A. x=x=\square, B. all real numbers, C. no solution.

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Problem 12017

A scientist measures 891kg891 \mathrm{kg}; true value is 700kg700 \mathrm{kg}. Find absolute and relative error.

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Problem 12018

Ian's diet is 30% Fat and 50% Carbs from 3,000 kcal. How many kcal is he eating in Fats? a) 700 kcal b) 800 kcal c) 900 kcal d) 1,000 kcal

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Problem 12019

Create an equation for this: 19 minus 53\frac{5}{3} of a number equals 4. Solve for xx. Options: A. 1953x=419-\frac{5}{3} x=4 B. 5319x=4\frac{5}{3}-19 x=4 C. 1953=419-\frac{5}{3}=4 D. 553x19=45 \frac{5}{3} x-19=4. Find xx.

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Problem 12020

Electricity cost in February was \$93.6, up 50\% from January. Find total cost for both months. What is it?

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Problem 12021

Ian's diet has 30%30\% Fat and 50%50\% Carbs in a total of 3,000kcal3,000 \mathrm{kcal}. How many grams of fat is he eating? a) 100 g b) 150 g c) 200 g d) 250 g

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Problem 12022

Solve for pp in the equation: 15p4(66p)=6(p3)3-15 p - 4(6 - 6 p) = 6(p - 3) - 3. What is the solution set? A, B, or C?

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Problem 12023

A scientist measures 66.8 m66.8 \mathrm{~m}; true value is 100.0 m100.0 \mathrm{~m}. Find absolute and relative error.
absolute error: relative error:

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Problem 12024

Solve the equation: 2(9r+17)=16r+62(9r + 17) = 16r + 6. Fill in the missing terms and simplify fractions.

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Problem 12025

A meal has 75g Carbs, 20g Protein, and 605 total calories. Find grams of Fat. Options: a) 15 b) 25 c) 35 d) 40.

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Problem 12026

Solve the equation: 27(5x+4)=12(3x26)+12\frac{2}{7}(5 x+4)=\frac{1}{2}(3 x-26)+12. What is xx? A. x=x=\square B. All real numbers. C. No solution.

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Problem 12027

Solve the equation step-by-step, filling in missing terms and simplifying fractions:
7(4b+2)+17b=14 7(4b + 2) + 17b = 14
Find bb after applying the distributive property and combining like terms.

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Problem 12028

Solve the equation step by step. Fill in the blanks and simplify.
2(19w14)=10+28=1038w=w= \begin{aligned} -2(-19 w-14) & =-10 \\ \square+28 & =-10 \\ 38 w & = \\ w & = \end{aligned}

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Problem 12029

Solve for yy in the equation: 3y+157=143y + 15 - 7 = 14.

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Problem 12030

Solve the equation step by step and fill in the missing terms. Simplify fractions where needed.
6(13w+2)10=2 6(13 w+2)-10=2
+1210=2 \square+12-10=2
78w+=2 78 w+\square=2
Find ww by applying the distributive property and combining like terms.

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Problem 12031

Solve the equation and fill in the missing terms:
3y+157=14 3y + 15 - 7 = 14
Complete:
3y+=14 3y + \square = 14
3y= 3y = \square
y= y = \square

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Problem 12032

Calculate the final price after a \$105.75 discount on an original price of \$4700.

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Problem 12033

Solve the equation: 5(2x17)=5-5(-2x-17)=-5. Find xx and simplify.

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Problem 12034

Solve the equation: 2c+2+11=11-2c + 2 + 11 = 11. Find cc after simplifying.

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Problem 12035

Solve the equation: 7(8s+1)=s+77(8 s+1) =s+7. Fill in missing terms and simplify to find s=s =.

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Problem 12036

Find the discount and proceeds for a face value of \$4300, discount rate of 9\%, and time of 90 days.

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Problem 12037

Solve the equation: -6b + 6 = -2b + 6. Find missing values and simplify. 4b=,  b=-4b = \square, \; b = \square.

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Problem 12038

Solve the equation and fill in the blanks. Simplify fractions:
16q820q=168=164q=q= \begin{aligned} 16 q-8-20 q & =16 \\ \square-8 & =16 \\ -4 q & =\square \\ q & =\square \end{aligned}

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Problem 12039

Solve the equation and fill in missing terms. Simplify fractions.
8y165y=5y+813y16=5y+88y16=88y=y= -8 y-16-5 y =-5 y+8 \\ -13 y-16 =-5 y+8 \\ -8 y-16 =8 \\ -8 y =\square \\ y =
Divide both sides by -8.

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Problem 12040

Determina la velocidad de una moneda en caída libre tras 2.0 s2.0 \mathrm{~s} desde reposo en la Torre Colpatria.

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Problem 12041

A scientist measures 71.1 m71.1 \mathrm{~m}; the true value is 50.0 m50.0 \mathrm{~m}. Find absolute and relative errors.

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Problem 12042

Solve the equation step by step. Fill in missing terms and simplify:
4(15r+5)6=14 4(15 r+5)-6 = 14
Find rr.

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Problem 12043

Solve the equation: 6(10r+1)=66(10r+1)=6. Find rr and simplify any fractions.

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Problem 12044

Solve the equation step by step and simplify any fractions. Find aa in 53a=053 a = 0. What is aa?

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Problem 12045

Find xx for f(x)=x22x+4f(x)=x^{2}-2x+4 where f(x)=39f(x)=39.

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Problem 12046

Calcula la velocidad de una moneda caída desde la Torre Colpatria después de 1.0 s, comenzando desde el reposo.

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Problem 12047

Martha has 17 CDs (5 rock, 3 blues, 6 pop, 3 R&B). What’s the probability of picking a blues CD? Simplify your answer.

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Problem 12048

Solve the equation step by step and fill in missing terms: 4(7d+2)+6=144(7d+2)+6=14. Simplify fractions where needed.

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Problem 12049

What must be true for the probability of a randomly selected person having blood type A to be P(A)=14P(A)=\frac{1}{4}? Is this true?

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Problem 12050

Find mXYWm \angle XYW and mWYZm \angle WYZ if they are complementary to mXYZ=117m \angle XYZ=117^{\circ}.

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Problem 12051

Find the measures of angles XYWXYW and WYZWYZ if mXYZ=117m \angle XYZ = 117^{\circ} and they are supplementary.

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Problem 12052

Solve the equation for rr:
19r+2+17r=13r+2 19r + 2 + 17r = 13r + 2
Simplify and fill in the missing steps.

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Problem 12053

Solve the equation and fill in the missing terms:
5v + 15 = 3v + 17
Subtract 3v:
2v = \square
Subtract 15:
v = \square (Divide by 2)

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Problem 12054

Solve the equation step-by-step and fill in the blanks:
19r+2+17r=13r+2 19 r+2+17 r= 13 r+2 36r+2=13r+2 36 r+2 =13 r+2 23r+2=2 23 r+2 =2 23r= 23 r =\square r= r =\square

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Problem 12055

Solve the equation: 19r+2+17r=13r+219r + 2 + 17r = 13r + 2. Simplify fractions and find rr.

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Problem 12056

Solve the equation: 2(14d+4)=15d+82(14d + 4) = 15d + 8. Simplify and find dd.

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Problem 12057

Solve the equations: 3q + 6 = q + 8 and 2q + 6 = 8. Find 2q=2q=, q=q=, and simplify fractions.

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Problem 12058

Does the equation x6=y2x - 6 = y^2 define yy as a function of xx? Yes or No?

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Problem 12059

Solve the equation: 16w+17+14w=1716w + 17 + 14w = 17. Simplify and find ww. What is w=w = \square?

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Problem 12060

Solve the equation and find pp in the steps below. Simplify any fractions.
17p+1+p=1918p+1=1918p=18p=(Divide both sides by 18) 17 p+1+p =19 \\ 18 p+1 =19 \\ 18 p =18 \\ p =\square \quad \text{(Divide both sides by 18)}

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Problem 12061

Solve the equation step by step and find bb. Fill in missing terms and simplify.
2(3b+5)+12b=13b+15 2(3 b+5)+12 b =13 b+15

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Problem 12062

Solve the equation: 3(x+3)+x=2x+153(x+3)+x = 2x+15. Fill in missing terms and simplify fractions. Find xx.

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Problem 12063

Bert made 3 batches of sauce using 24 ounces total, reducing hot sauce by 2 ounces per batch. Find uu: usual amount per batch.
Which equation to use? 3(u2)=24 3(u-2)=24 3u2=24 3 u-2=24 2u3=24 2 u-3=24 2(u3)=24 2(u-3)=24
What is uu? Answer in ounces.

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Problem 12064

Solve for xx: (x+5)4/3=256(x+5)^{4/3} = 256

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Problem 12065

Ms. Garza ordered 9 cases of caramel apples, sold 685, and had 35 left. What equation finds apples per case? 9c685=359c - 685 = 35

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Problem 12066

Rhianna buys 6 chairs for \455aftera$55discount.Findtheequationfortheregularcost,455 after a \$55 discount. Find the equation for the regular cost, c$, of each chair.

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Problem 12067

The Logan family rents a beach house for 9 days, paying \920aftera$25discount.Findthedailycharge920 after a \$25 discount. Find the daily charge d$:
9d25=9209d - 25 = 920

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Problem 12068

Find the volume of a wood block with a density of 0.6 g/cm30.6 \mathrm{~g} / \mathrm{cm}^{3} and mass of 120 g120 \mathrm{~g}. 200 cm3 200 \mathrm{~cm}^{3} 200.0ml200.0 \mathrm{ml} 0.005 cm30.005 \mathrm{~cm}^{3}

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Problem 12069

Find the fixed points of the sequence defined by an+1=30ana_{n+1}=\sqrt{30 a_{n}}.

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Problem 12070

Find fixed points of the sequence defined by an+1=12(an+3an)a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right).

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Problem 12071

A scientist measures 81.1 cm381.1 \mathrm{~cm}^{3}; true value is 60.0 cm360.0 \mathrm{~cm}^{3}. Find absolute and relative error.

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Problem 12072

Find the value of xx if log464=x\log _{4} 64 = x. What is xx?

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Problem 12073

Find the equation of a line parallel to the one with slope 1/21/2 that passes through (0,3)(0,-3).

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Problem 12074

Rewrite the logarithmic equation lny=9\ln y=9 as an exponential equation.

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Problem 12075

Find a linear equation for the line through (1,4)(1,4) with slope 6.

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Problem 12076

Solve the equation: log8x2=4\log_{8} x^{2} = 4.

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Problem 12077

Find the linear equation of the line through the points (1,6)(1,-6) and (1,1)(-1,-1). y(x)=y(x) =

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Problem 12078

Find the area of a scale drawing of a parallelogram where the scale is 10 cm10 \mathrm{~cm} for every 8 m8 \mathrm{~m} on the sculpture. Base: 4.2 m4.2 \mathrm{~m}, heights: 5 m5 \mathrm{~m} and 6 m6 \mathrm{~m}.

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Problem 12079

Find the absolute and relative error for a measurement of 146cm3146 \mathrm{cm}^3 when the true value is 100cm3100 \mathrm{cm}^3.

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Problem 12080

A scientist measures 561g/m3561 \mathrm{g/m}^3; the true value is 400g/m3400 \mathrm{g/m}^3. Find absolute and relative error.

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Problem 12081

A printing service has a set-up fee of \11.00andcharges$0.15percopy.Findthecostfor40copiesusing11.00 and charges \$0.15 per copy. Find the cost for 40 copies using C=11.00+0.15x$.

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Problem 12082

Raina's phone card has C=45.000.06xC=45.00-0.06x. How much credit is left after 15 minutes of calls?

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Problem 12083

Find logbAB\log_{b} \frac{A}{B} given logbA=2\log_{b} A=2 and logbB=4\log_{b} B=-4.

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Problem 12084

Solve the equation 2x+6=72^{x+6}=7 and find the decimal approximation of xx to two decimal places.

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Problem 12085

Express y in terms of x given that C is a positive constant: lny=ln4x+lnC\ln y = \ln 4 x + \ln C.

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Problem 12086

Express y in terms of x given: lny=ln4x+lnC\ln y = \ln 4 x + \ln C where C is a positive constant.

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Problem 12087

A copper atom weighs 1.06×1022 g1.06 \times 10^{-22} \mathrm{~g}, and a penny weighs 2.5 g2.5 \mathrm{~g}. Find moles of copper in a penny.

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Problem 12088

A 9-foot ribbon is cut into two pieces, with one piece being 1 foot longer. Find the lengths of the pieces.

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Problem 12089

A copper atom weighs 1.06×1022 g1.06 \times 10^{-22} \mathrm{~g}; a penny weighs 2.5 g2.5 \mathrm{~g}. Find the mass of 1 mole of copper and how many moles equal a penny's mass.

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Problem 12090

Find a linear equation for the line passing through the points (0.5,0.75)(0.5,-0.75) and (1,5.75)(1,-5.75). y(x)=y(x)=

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Problem 12091

A tower is three times the height of a building and is 50 m taller. Find the height of the tower.

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Problem 12092

Carissa comió arándanos desde el jueves hasta el miércoles, totalizando 161. ¿Cuántos comió el jueves si aumenta 7 cada día?

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Problem 12093

An oxygen atom weighs 2.66×1023 g2.66 \times 10^{-23} \mathrm{~g}; a glass of water weighs 0.050 kg0.050 \mathrm{~kg}.
1. Find the mass of 1 mole of oxygen atoms: g\square \mathrm{g}.
2. How many moles of oxygen equal the mass of water? \square.

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Problem 12094

How long, in seconds, until waste from 400 feet hits the ground using h(t)=16t2+400h(t)=-16 t^{2}+400? [?] seconds

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Problem 12095

Calculate the annual straight-line depreciation DD for an item costing \15,963withalifeof13years:15,963 with a life of 13 years: D=(1/n)x$.

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Problem 12096

Find the annual straight-line depreciation for an item costing \15,963withalifeof13years.Use15,963 with a life of 13 years. Use D=(1/n)x$.

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Problem 12097

A hailstone falls from 1,600ft1,600 \mathrm{ft}. Using h(t)=16t2+1600h(t)=-16t^{2}+1600, find when it hits the ground: h(t)=0h(t)=0. [?] seconds

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Problem 12098

Lydia worked hours on Tuesday and Wednesday. If she earns \$18/hour, calculate her total pay for both days.

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Problem 12099

Solve y19=2\sqrt{y-19}=2 and verify your solution for yy.

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Problem 12100

Find the first full year when the percent change in beer shipments reaches 34%-34\% using y=4.1x+28.7y=-4.1x+28.7. What does 34%-34\% mean?

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