Solve

Problem 21601

Find the value of the trigonometric expression: $\tan \left[\sec ^{-1}(-5)\right]$ .

See Solution

Problem 21602

Find the sample variance of the data set $9, 12, 9, 14, 6$ . Round your answer to one decimal place.

See Solution

Problem 21603

Convert $0.0001 \mathrm{dg}$ to picograms (pg) using the SI unit conversion method.

See Solution

Problem 21604

Find the value of $\cos \left(\cot ^{-1}(10)\right)$ using trigonometric identities.

See Solution

Problem 21605

Solve for $a \times d$ given $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ and $a+b+c+d=125$ .

See Solution

Problem 21606

Convert $10 \mathrm{~km}$ to feet using $1 \mathrm{~m} = 3.28084 \mathrm{ft}$ . What is the result?

See Solution

Problem 21607

Resuelve: $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ y $a+b+c+d=125$ ; halla el «axd».

See Solution

Problem 21608

A newborn elephant weighs $225 \mathrm{lb}$ . Convert this to kilograms using $1 \mathrm{~kg}=2.2 \mathrm{lb}$ .

See Solution

Problem 21609

Ein Händler kauft $1 \frac{1}{8} t$ Erdnüsse. $12\%$ sind Schale, $88\%$ Nüsse. Nach Röstung kommen $10 \mathrm{~kg}$ Salz dazu.
a) Wie viel kg Nüsse (mit Salz) sind verkaufbar? b) $\frac{2}{5}$ der Nüsse gehen nach Österreich, $\frac{3}{8}$ nach Europa. Wie viel bleibt in Deutschland und wie viel kg ist das?

See Solution

Problem 21610

Ein Händler kauft $1 \frac{1}{8} t$ Erdnüsse. $12\%$ sind Schale, $88\%$ Nüsse. Nach Röstung kommen $10 \mathrm{~kg}$ Salz hinzu. a) Wie viel kg Nüsse (mit Salz) sind verkaufbar? b) Welcher Bruchteil und wie viel kg bleiben in Deutschland, wenn $\frac{2}{5}$ nach Österreich und $\frac{3}{8}$ ins restliche Europa gehen?

See Solution

Problem 21611

Solve for $y$ in the equation $3y + \frac{7}{3} = \frac{43}{3}$ .

See Solution

Problem 21612

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

See Solution

Problem 21613

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

See Solution

Problem 21614

A $10 \mathrm{~m}$ steel plate forms a ramp with a $3 \mathrm{~m}$ clearance. Find the distance $(d)$ from point A to B.

See Solution

Problem 21615

Gina and Hone are on opposite sides of a tower. Gina is 20 m away with an angle of elevation of $53^{\circ}$ . Hone's angle is $37^{\circ}$ . Find Hone's distance from the tower.

See Solution

Problem 21616

Peter sees a flag-pole $6 \mathrm{~m}$ away. Angle of depression is $65^{\circ}$ , and elevation is $47^{\circ}$ . Find the height.

See Solution

Problem 21617

Find the six trigonometric functions of the angle $\theta$ with point $(-24,7)$ on its terminal side. $\sin \theta =$

See Solution

Problem 21618

Solve for $x$ in the equation: $18 = 6 \times x$ . What is $x$ ?

See Solution

Problem 21619

Solve the equations: $T-4-25=$ , $37-12=$ , $17-18=$ , $10-2=$ , $-11+4=$ , $-30-20=$ , $-1+8=$ .

See Solution

Problem 21620

Solve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

See Solution

Problem 21621

Solve for $a$ in the equation: $-16-7(2 a+3)=23-2 a$ .

See Solution

Problem 21622

Solve the equation $2(4w - 1) = -10(w - 3) + 4$ .

See Solution

Problem 21623

Solve the equation: $5x - (x - 18) = 6 - 2(x + 15)$ .

See Solution

Problem 21624

Solve the equation $8(y+4)-2(y-1)=70-3y$ .

See Solution

Problem 21625

Solve the equation: $8(5x - 3) = 6(-3x - 4)$ .

See Solution

Problem 21626

Solve the equation: $3(2x + 2) - 3x = 6 + 3x$ .

See Solution

Problem 21627

Solve the equation: $6(2 x-6)=-7(-2 x+4)$ .

See Solution

Problem 21628

Solve for $h$ in the equation: $11 h - (2 h - 1) = 118$ .

See Solution

Problem 21629

Solve the equation: $3x - 13 = 7(x + 2) - 4(x - 7)$ .

See Solution

Problem 21630

Solve for $x$ in the equation $-25=\frac{1}{2}(10 x-2)+3 x$ .

See Solution

Problem 21631

Solve the equation $x^{2}+8x+5=0$ by completing the square.

See Solution

Problem 21632

Solve the equation $x^{2}+7x-3=0$ .

See Solution

Problem 21633

Solve the following by completing the square: (a) $x^{2}+8x+5=0$ , (c) $x^{2}-11x-7=0$ .

See Solution

Problem 21634

Solve the equation $x^{2}-11 x-7=0$ .

See Solution

Problem 21635

How many kilometers $(k)$ can Pamela drive with 12 liters of fuel if she drove 99 km using 9 liters?

See Solution

Problem 21636

Solve the equation $x^{2}+1.2 x=1$ .

See Solution

Problem 21637

Find how many days until the field hockey team (every 4 days) and soccer team (every 6 days) share the field again. Use LCM.

See Solution

Problem 21638

Find the minimum packs of soccer balls (4 per pack) needed to equalize tennis balls (18 per pack) and golf balls (12 per pack).

See Solution

Problem 21639

Sierra baked 80 chocolate chip cookies and 64 sugar cookies. What is the greatest number of containers for equal distribution?

See Solution

Problem 21640

Calculate $10 \times 10$ using the equation: $C \times 10 + - \times 10 = 10 \times 10$ . What is $10 \times 10$ ?

See Solution

Problem 21641

What is the decimal equivalent of $\frac{16}{3}$ ? A. $5.\overline{3}$ B. 5.3 C. 16.3 D. 0.1875

See Solution

Problem 21642

What is the fraction for the repeating decimal $0.\overline{6}$ ? A. $\frac{1}{3}$ B. $\frac{66}{100}$ C. $\frac{2}{3}$ D. $\frac{6}{10}$

See Solution

Problem 21643

Find the value of $O \Delta \Delta O \Delta$ given the equations: $00000=0$ , $0000 \Delta=10$ , $000 \Delta O=20$ , $000 \Delta \Delta=30$ , $00 \Delta O \Delta=50$ , $00 \Delta \Delta O=60$ .

See Solution

Problem 21644

(a) If the odds of advancing five spaces are $\frac{5}{14}$ , find the probability of that happening. (b) If the probability of choosing a strawberry candy is $\frac{6}{11}$ , what are the odds against choosing it?

See Solution

Problem 21645

ก. แก้สมการ $2 x+3=12$ ฝ. แก้สมการ $2 x-3=11$

See Solution

Problem 21646

Find the value of $3^{-2}$ . A. $\frac{1}{9}$ B. -6 C. $-\frac{1}{9}$ D. -9

See Solution

Problem 21647

A child has odds of $\frac{5}{12}$ against choosing a blue block. Find the probability of choosing a blue block. Debra has a $\frac{9}{20}$ chance to unlock a treasure chest. What are the odds in favor of her unlocking it?

See Solution

Problem 21648

How many moles of $\mathrm{NH}_{3}$ are produced from 4 moles of $\mathrm{H}_{2}$ with excess $\mathrm{N}_{2}$ ? $3 \mathrm{H}_{2}+\mathrm{N}_{2} \rightarrow 2 \mathrm{NH}_{3}$

See Solution

Problem 21649

Calculate $60 \div 2(3+7)$ .

See Solution

Problem 21650

How many bacteria are in the dish after 140 minutes, given $2^{3} \cdot 2^{7}$ ? A. $2^{10}$ B. $2^{7}$ C. $4^{10}$ D. $2^{21}$

See Solution

Problem 21651

A child picks a block randomly. Odds against blue are $\frac{5}{12}$ . Find the probability of picking a blue block.

See Solution

Problem 21652

How many moles of $\mathrm{N}_{2}$ are needed to react with 4 moles of $\mathrm{H}_{2}$ in the equation $3 \mathrm{H}_{2}+\mathrm{N}_{2} \rightarrow 2 \mathrm{NH}_{3}$ ? A) 1.0 B) 1.1 C) 4.0 D) 1.3 E) 2.5

See Solution

Problem 21653

Solve for $x$ in the equation: $\frac{1}{x^{2}}=\frac{1}{5^{2}}+\frac{1}{7^{2}}$ .

See Solution

Problem 21654

Find $\tan \theta$ given $\cos \theta = -\frac{5}{13}$ and $\theta$ is in quadrant III. Simplify your answer.

See Solution

Problem 21655

Solve the equations: -2x + 6y = 11 and 6x + y = 16. Choose A, B, or C for the solution type.

See Solution

Problem 21656

How long to double a bacteria population growing at $5.4\%$ per hour using continuous exponential growth? Round to the nearest hundredth.

See Solution

Problem 21657

Find the length $n$ of a nail given its penny size $d=4n-2$ . Also, determine $n$ for penny sizes 3, 6, and 10.

See Solution

Problem 21658

Find $h$ in the surface area formula of a cylinder: $S=2 \pi r^{2}+2 \pi r h$ .

See Solution

Problem 21659

Evaluate $5 x^{2}-11 x+18$ at $x=2.4$ and $x=-3$ . Then find $\frac{(-3 a+4 b)^{3}}{2 c-1}$ for $a=4, b=2, c=3$ .

See Solution

Problem 21660

Find the half-life of a radioactive substance with a decay rate of $4.3\%$ per day using continuous exponential decay.

See Solution

Problem 21661

Find the hourly growth rate of a bacteria population that grows from 2000 to 2179 in 4 hours using continuous growth model. Round to the nearest hundredth percent.

See Solution

Problem 21662

Find the annual interest rate for an investment of \$1000 that grows to \$1068 in 2 years with continuous compounding. Round to the nearest hundredth.

See Solution

Problem 21663

Evaluate $\frac{(-3a + 4b)^{3}}{2c - 1}$ for $a=4$ , $b=2$ , and $c=3$ .

See Solution

Problem 21664

Find the time for a bacteria population to double with a growth rate of $1.5\%$ per hour using continuous growth.

See Solution

Problem 21665

Solve the system of equations: 16x = 84 - 2y, 14x = 72 - 2y. Provide x and y values as x,y.

See Solution

Problem 21666

A surveying chain with 1000 links measures $0.0333 \mathrm{~km}$ . Find the length of one link in cm as a decimal.

See Solution

Problem 21667

An investor deposits \$775 annually in an annuity at 2% interest. Find values at the end of years 1, 2, and 3.

See Solution

Problem 21668

Evaluate $12^{2}-3\left[4\left(\frac{1}{4}\right)-\left(1^{8}\right)\right]$ .

See Solution

Problem 21669

Amy deposits \$1500 yearly in a 5% ordinary annuity. Find values at the end of years 1, 2, and 3.

See Solution

Problem 21670

A spinner with a border of $16 \pi$ cm has 6 equal regions. What is the area of the purple region in square cm?

See Solution

Problem 21671

Ivan saves \$950 yearly in a 4% annuity. Find the total value at the end of years 1, 2, and 3.

See Solution

Problem 21672

Calculate the future value of an annuity with yearly payments of \$186 at 3.6% interest compounded annually over 9 years.

See Solution

Problem 21673

Austin invests \$1554 quarterly at 2% interest, compounded quarterly. Find the annuity's value after 3 years.

See Solution

Problem 21674

Evaluate $f(6)$ for the function $f(x)=3x-5$ .

See Solution

Problem 21675

Find $x$ and $y$ if the triangle angles are $(2y+6)°$ , $(3x)°$ , and $(8y-102)°$ with a total of $180°$ .

See Solution

Problem 21676

Points $A$ and $B$ create arcs of length $\frac{35}{18} \pi$ and $\frac{217 \pi}{18}$ . Find the acute angle at the center.

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Problem 21677

Find $m \angle A B C$ if $m \angle A B C = 17x + 8$ , $m \angle A B K = 42^{\circ}$ , and $m \angle K B C = 12x - 4$ .

See Solution

Problem 21678

Clayton is 12 feet behind Pamela and 9 feet left of Eve. Find the distance between Pamela and Eve.

See Solution

Problem 21679

A meal costs \ $46.80. What is the total cost with a$ 15\%$ tip? The total cost is \$

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Problem 21680

Find $m \angle H I W$ given $m \angle W I J=10 x$ , $m \angle H I J=145^{\circ}$ , and $m \angle H I W=2 x+13$ .

See Solution

Problem 21681

Find the $y$ -intercepts of the function $f(x)=\frac{x+7}{x^{2}+4 x-21}$ . Give your answer as a coordinate point.

See Solution

Problem 21682

Find the $y$ -intercepts of the function $f(x)=\frac{x+3}{x^{2}-6 x-27}$ . Give your answer as a coordinate point.

See Solution

Problem 21683

Find all $y$ -intercepts of $f(x)=\frac{x+8}{2x-12}$ and express as a coordinate point.

See Solution

Problem 21684

Find $x$ given $m \angle G F Z=38^{\circ}$ , $m \angle Z F E=2x+125$ , and $m \angle G F E=x+163$ .

See Solution

Problem 21685

Brandy's storage unit is 8 ft wide and 17 ft diagonal. Find the length $c$ using $8^2 + c^2 = 17^2$ .

See Solution

Problem 21686

Find the percent of calories from protein in a food serving with 279 calories and 13g protein. Round to the nearest tenth.

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Problem 21687

A company reduced its workforce by $30\%$ . With 84 employees left, how many were there before the layoffs?

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Problem 21688

In a class of 840 students, how many would rank flexible hours as their top benefit if $42\%$ prefer it? Round to nearest whole number.

See Solution

Problem 21689

Evaluate: $y - (x - 4)$ for $x = 6$ and $y = 6$ .

See Solution

Problem 21690

Find the height of a billboard if its area is 3420 sq ft and its width is 57 ft. Use the formula: height = area / width.

See Solution

Problem 21691

Find the lengths of each side of a pentagon with a perimeter of 12 meters.

See Solution

Problem 21692

Graph the system: $y=-2x+3$ and $-\frac{1}{2}y=x-\frac{3}{2}$ . Choose: $\{6,0\}$ , $\{0,3\}$ , no solution, or all numbers on the line.

See Solution

Problem 21693

A 12-foot ladder leans against a wall, 3 feet from the base. How high does it reach? Round to the nearest tenth.

See Solution

Problem 21694

A catcher throws the ball from home plate to second base. Find the distance, rounding to the nearest tenth. Use $d = \sqrt{90^2 + 90^2}$ .

See Solution

Problem 21695

Graph the system of equations: $y=-2x+7$ and $y=-2x-6$ . Determine if there is one solution, no solution, or infinitely many.

See Solution

Problem 21696

Brenda's bank balance was $-\$ 20$ . After a \$10 fee for the negative balance, what is her new balance?

See Solution

Problem 21697

Graph the system of equations: $y=-\frac{1}{3} x-6$ and $y=-\frac{1}{3} x+2$ . Identify the type of solution.

See Solution

Problem 21698

Graph the system of equations: $y=\frac{1}{2} x$ and $y=-\frac{1}{2} x-5$ . Choose the correct solution set.

See Solution

Problem 21699

Graph the system of equations: $y=\frac{1}{2} x$ and $y=-\frac{1}{2} x-6$ . Find the solution type.

See Solution

Problem 21700

Graph the system: $y=\frac{1}{2} x-3$ and $2y=x-6$ . Choose the correct answer: no solution, solutions on the line, or one solution $\{1,-1\}$ or $\{4,5\}$ .

See Solution

1 ...214 215 216 217 218 219 220 ...307

Solve

Problem 21601

Find the value of the trigonometric expression: tan⁡[sec⁡−1(−5)]\tan \left[\sec ^{-1}(-5)\right]tan[sec−1(−5)].

Problem 21602

Find the sample variance of the data set 9,12,9,14,69, 12, 9, 14, 69,12,9,14,6. Round your answer to one decimal place.

Problem 21603

Convert 0.0001dg0.0001 \mathrm{dg}0.0001dg to picograms (pg) using the SI unit conversion method.

Problem 21604

Find the value of cos⁡(cot⁡−1(10))\cos \left(\cot ^{-1}(10)\right)cos(cot−1(10)) using trigonometric identities.

Problem 21605

Solve for a×da \times da×d given a+4a−4=b+5b−5=c+7c−7=d+9d−9\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}a−4a+4​=b−5b+5​=c−7c+7​=d−9d+9​ and a+b+c+d=125a+b+c+d=125a+b+c+d=125.

Problem 21606

Convert 10 km10 \mathrm{~km}10 km to feet using 1 m=3.28084ft1 \mathrm{~m} = 3.28084 \mathrm{ft}1 m=3.28084ft. What is the result?

Problem 21607

Resuelve: a+4a−4=b+5b−5=c+7c−7=d+9d−9\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}a−4a+4​=b−5b+5​=c−7c+7​=d−9d+9​ y a+b+c+d=125a+b+c+d=125a+b+c+d=125; halla el «axd».

Problem 21608

A newborn elephant weighs 225lb225 \mathrm{lb}225lb. Convert this to kilograms using 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb}1 kg=2.2lb.

Problem 21609

Problem 21610

Problem 21611

Solve for yyy in the equation 3y+73=4333y + \frac{7}{3} = \frac{43}{3}3y+37​=343​.

Problem 21612

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

Problem 21613

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

Problem 21614

A 10 m10 \mathrm{~m}10 m steel plate forms a ramp with a 3 m3 \mathrm{~m}3 m clearance. Find the distance (d)(d)(d) from point A to B.

Problem 21615

Gina and Hone are on opposite sides of a tower. Gina is 20 m away with an angle of elevation of 53∘53^{\circ}53∘. Hone's angle is 37∘37^{\circ}37∘. Find Hone's distance from the tower.

Problem 21616

Peter sees a flag-pole 6 m6 \mathrm{~m}6 m away. Angle of depression is 65∘65^{\circ}65∘, and elevation is 47∘47^{\circ}47∘. Find the height.

Problem 21617

Find the six trigonometric functions of the angle θ\thetaθ with point (−24,7)(-24,7)(−24,7) on its terminal side. sin⁡θ=\sin \theta =sinθ=

Problem 21618

Solve for xxx in the equation: 18=6×x18 = 6 \times x18=6×x. What is xxx?

Problem 21619

Solve the equations: T−4−25=T-4-25=T−4−25=, 37−12=37-12=37−12=, 17−18=17-18=17−18=, 10−2=10-2=10−2=, −11+4=-11+4=−11+4=, −30−20=-30-20=−30−20=, −1+8=-1+8=−1+8=.

Problem 21620

Solve for kkk in the equation: −10k+1=40−7k-10 k + 1 = 40 - 7 k−10k+1=40−7k.

Problem 21621

Solve for aaa in the equation: −16−7(2a+3)=23−2a-16-7(2 a+3)=23-2 a−16−7(2a+3)=23−2a.

Problem 21622

Solve the equation 2(4w−1)=−10(w−3)+42(4w - 1) = -10(w - 3) + 42(4w−1)=−10(w−3)+4.

Problem 21623

Solve the equation: 5x−(x−18)=6−2(x+15)5x - (x - 18) = 6 - 2(x + 15)5x−(x−18)=6−2(x+15).

Problem 21624

Solve the equation 8(y+4)−2(y−1)=70−3y8(y+4)-2(y-1)=70-3y8(y+4)−2(y−1)=70−3y.

Problem 21625

Solve the equation: 8(5x−3)=6(−3x−4)8(5x - 3) = 6(-3x - 4)8(5x−3)=6(−3x−4).

Problem 21626

Solve the equation: 3(2x+2)−3x=6+3x3(2x + 2) - 3x = 6 + 3x3(2x+2)−3x=6+3x.

Problem 21627

Solve the equation: 6(2x−6)=−7(−2x+4)6(2 x-6)=-7(-2 x+4)6(2x−6)=−7(−2x+4).

Problem 21628

Solve for hhh in the equation: 11h−(2h−1)=11811 h - (2 h - 1) = 11811h−(2h−1)=118.

Problem 21629

Solve the equation: 3x−13=7(x+2)−4(x−7)3x - 13 = 7(x + 2) - 4(x - 7)3x−13=7(x+2)−4(x−7).

Problem 21630

Solve for xxx in the equation −25=12(10x−2)+3x-25=\frac{1}{2}(10 x-2)+3 x−25=21​(10x−2)+3x.

Problem 21631

Solve the equation x2+8x+5=0x^{2}+8x+5=0x2+8x+5=0 by completing the square.

Problem 21632

Solve the equation x2+7x−3=0x^{2}+7x-3=0x2+7x−3=0.

Problem 21633

Solve the following by completing the square: (a) x2+8x+5=0x^{2}+8x+5=0x2+8x+5=0, (c) x2−11x−7=0x^{2}-11x-7=0x2−11x−7=0.

Problem 21634

Solve the equation x2−11x−7=0x^{2}-11 x-7=0x2−11x−7=0.

Problem 21635

How many kilometers (k)(k)(k) can Pamela drive with 12 liters of fuel if she drove 99 km using 9 liters?

Problem 21636

Solve the equation x2+1.2x=1x^{2}+1.2 x=1x2+1.2x=1.

Problem 21637

Find how many days until the field hockey team (every 4 days) and soccer team (every 6 days) share the field again. Use LCM.

Problem 21638

Find the minimum packs of soccer balls (4 per pack) needed to equalize tennis balls (18 per pack) and golf balls (12 per pack).

Problem 21639

Sierra baked 80 chocolate chip cookies and 64 sugar cookies. What is the greatest number of containers for equal distribution?

Problem 21640

Calculate 10×1010 \times 1010×10 using the equation: C×10+−×10=10×10C \times 10 + - \times 10 = 10 \times 10C×10+−×10=10×10. What is 10×1010 \times 1010×10?

Problem 21641

Find the value of the trigonometric expression: $\tan \left[\sec ^{-1}(-5)\right]$ .

Find the sample variance of the data set $9, 12, 9, 14, 6$ . Round your answer to one decimal place.

Convert $0.0001 \mathrm{dg}$ to picograms (pg) using the SI unit conversion method.

Find the value of $\cos \left(\cot ^{-1}(10)\right)$ using trigonometric identities.

Solve for $a \times d$ given $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ and $a+b+c+d=125$ .

Convert $10 \mathrm{~km}$ to feet using $1 \mathrm{~m} = 3.28084 \mathrm{ft}$ . What is the result?

Resuelve: $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ y $a+b+c+d=125$ ; halla el «axd».

A newborn elephant weighs $225 \mathrm{lb}$ . Convert this to kilograms using $1 \mathrm{~kg}=2.2 \mathrm{lb}$ .

Solve for $y$ in the equation $3y + \frac{7}{3} = \frac{43}{3}$ .

A $10 \mathrm{~m}$ steel plate forms a ramp with a $3 \mathrm{~m}$ clearance. Find the distance $(d)$ from point A to B.

Gina and Hone are on opposite sides of a tower. Gina is 20 m away with an angle of elevation of $53^{\circ}$ . Hone's angle is $37^{\circ}$ . Find Hone's distance from the tower.

Peter sees a flag-pole $6 \mathrm{~m}$ away. Angle of depression is $65^{\circ}$ , and elevation is $47^{\circ}$ . Find the height.

Find the six trigonometric functions of the angle $\theta$ with point $(-24,7)$ on its terminal side. $\sin \theta =$

Solve for $x$ in the equation: $18 = 6 \times x$ . What is $x$ ?

Solve the equations: $T-4-25=$ , $37-12=$ , $17-18=$ , $10-2=$ , $-11+4=$ , $-30-20=$ , $-1+8=$ .

Solve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

Solve for $a$ in the equation: $-16-7(2 a+3)=23-2 a$ .

Solve the equation $2(4w - 1) = -10(w - 3) + 4$ .

Solve the equation: $5x - (x - 18) = 6 - 2(x + 15)$ .

Solve the equation $8(y+4)-2(y-1)=70-3y$ .

Solve the equation: $8(5x - 3) = 6(-3x - 4)$ .

Solve the equation: $3(2x + 2) - 3x = 6 + 3x$ .

Solve the equation: $6(2 x-6)=-7(-2 x+4)$ .

Solve for $h$ in the equation: $11 h - (2 h - 1) = 118$ .

Solve the equation: $3x - 13 = 7(x + 2) - 4(x - 7)$ .

Solve for $x$ in the equation $-25=\frac{1}{2}(10 x-2)+3 x$ .

Solve the equation $x^{2}+8x+5=0$ by completing the square.

Solve the equation $x^{2}+7x-3=0$ .

Solve the following by completing the square: (a) $x^{2}+8x+5=0$ , (c) $x^{2}-11x-7=0$ .

Solve the equation $x^{2}-11 x-7=0$ .

How many kilometers $(k)$ can Pamela drive with 12 liters of fuel if she drove 99 km using 9 liters?

Solve the equation $x^{2}+1.2 x=1$ .

Calculate $10 \times 10$ using the equation: $C \times 10 + - \times 10 = 10 \times 10$ . What is $10 \times 10$ ?

What is the decimal equivalent of $\frac{16}{3}$ ? A. $5.\overline{3}$ B. 5.3 C. 16.3 D. 0.1875

What is the fraction for the repeating decimal $0.\overline{6}$ ? A. $\frac{1}{3}$ B. $\frac{66}{100}$ C. $\frac{2}{3}$ D. $\frac{6}{10}$

Find the value of $O \Delta \Delta O \Delta$ given the equations: $00000=0$ , $0000 \Delta=10$ , $000 \Delta O=20$ , $000 \Delta \Delta=30$ , $00 \Delta O \Delta=50$ , $00 \Delta \Delta O=60$ .

(a) If the odds of advancing five spaces are $\frac{5}{14}$ , find the probability of that happening. (b) If the probability of choosing a strawberry candy is $\frac{6}{11}$ , what are the odds against choosing it?

ก. แก้สมการ $2 x+3=12$ ฝ. แก้สมการ $2 x-3=11$

Find the value of $3^{-2}$ . A. $\frac{1}{9}$ B. -6 C. $-\frac{1}{9}$ D. -9

A child has odds of $\frac{5}{12}$ against choosing a blue block. Find the probability of choosing a blue block. Debra has a $\frac{9}{20}$ chance to unlock a treasure chest. What are the odds in favor of her unlocking it?

How many moles of $\mathrm{NH}_{3}$ are produced from 4 moles of $\mathrm{H}_{2}$ with excess $\mathrm{N}_{2}$ ? $3 \mathrm{H}_{2}+\mathrm{N}_{2} \rightarrow 2 \mathrm{NH}_{3}$

Calculate $60 \div 2(3+7)$ .

How many bacteria are in the dish after 140 minutes, given $2^{3} \cdot 2^{7}$ ? A. $2^{10}$ B. $2^{7}$ C. $4^{10}$ D. $2^{21}$

A child picks a block randomly. Odds against blue are $\frac{5}{12}$ . Find the probability of picking a blue block.

How many moles of $\mathrm{N}_{2}$ are needed to react with 4 moles of $\mathrm{H}_{2}$ in the equation $3 \mathrm{H}_{2}+\mathrm{N}_{2} \rightarrow 2 \mathrm{NH}_{3}$ ? A) 1.0 B) 1.1 C) 4.0 D) 1.3 E) 2.5

Solve for $x$ in the equation: $\frac{1}{x^{2}}=\frac{1}{5^{2}}+\frac{1}{7^{2}}$ .

Find $\tan \theta$ given $\cos \theta = -\frac{5}{13}$ and $\theta$ is in quadrant III. Simplify your answer.

How long to double a bacteria population growing at $5.4\%$ per hour using continuous exponential growth? Round to the nearest hundredth.

Find the length $n$ of a nail given its penny size $d=4n-2$ . Also, determine $n$ for penny sizes 3, 6, and 10.

Find $h$ in the surface area formula of a cylinder: $S=2 \pi r^{2}+2 \pi r h$ .

Evaluate $5 x^{2}-11 x+18$ at $x=2.4$ and $x=-3$ . Then find $\frac{(-3 a+4 b)^{3}}{2 c-1}$ for $a=4, b=2, c=3$ .

Find the half-life of a radioactive substance with a decay rate of $4.3\%$ per day using continuous exponential decay.

Evaluate $\frac{(-3a + 4b)^{3}}{2c - 1}$ for $a=4$ , $b=2$ , and $c=3$ .

Find the time for a bacteria population to double with a growth rate of $1.5\%$ per hour using continuous growth.

A surveying chain with 1000 links measures $0.0333 \mathrm{~km}$ . Find the length of one link in cm as a decimal.

Evaluate $12^{2}-3\left[4\left(\frac{1}{4}\right)-\left(1^{8}\right)\right]$ .

A spinner with a border of $16 \pi$ cm has 6 equal regions. What is the area of the purple region in square cm?

Evaluate $f(6)$ for the function $f(x)=3x-5$ .