Solve

Problem 20501

Add the fractions: $\frac{1}{20}+\frac{1}{4}=\square$ (Type a whole number or a simplified fraction.)

See Solution

Problem 20502

Find $f(10)$ for the function $f(x)=\frac{x}{2}+8$ . Options: 4, 9, 13, 36.

See Solution

Problem 20503

Find $11\%$ of $342$ . What is the result? (Provide a whole number or a decimal.)

See Solution

Problem 20504

Find the calories per ounce in a 6-ounce Greek yogurt container with 150 calories.

See Solution

Problem 20505

Find the polynomial representing the difference: $2x^{2}+7x+6 - (3x^{2}-x)$ . Options: A. $-x^{2}+8x+6$ , B. $2x^{2}+4x+6$ , C. $-x^{2}+6x+6$ , D. $2x^{2}+5x+6$ .

See Solution

Problem 20506

What percent of 60 is 72? Find $\square \%$ such that $72 = \frac{\square}{100} \times 60$ .

See Solution

Problem 20507

Calculate the area and perimeter of a rectangle with length $\frac{7}{30}$ inch and width $\frac{7}{10}$ inch.

See Solution

Problem 20508

Subtract the polynomials: $(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?$ A. $2 x^{2}+3$ B. $2 x^{2}+4 x+3$ C. $2 x^{2}+5$ D. $2 x^{2}+4 x+5$

See Solution

Problem 20509

Find the side length $x$ of a square sheet to create a box with volume 100 cubic feet using $V(x)=(x-2)^{2}$ .

See Solution

Problem 20510

Subtract the polynomials: (4x² - x + 6) - (x² + 3) = ? A. 5x² - x + 9 B. 3x² - x + 3 C. 4x² - 2x + 9 D. 4x² - 2x + 3

See Solution

Problem 20511

Find the zeros of the function $f(x)=x^{2}-7 x$ by factoring. What are the $x$ -intercepts?

See Solution

Problem 20512

Todd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = $\frac{150 \text{ miles}}{3 \text{ gallons}}$ .

See Solution

Problem 20513

Calculate $75.11 - 4.4$ .

See Solution

Problem 20514

Find the cost in 2014 using the model $C=2.85n+30.52$ , where $n$ is the years since 1990.

See Solution

Problem 20515

Find the intercepts of the line given by $-4x + 7y = 3$ . Provide exact values.

See Solution

Problem 20516

Graph the equations: $x+y=-2$ and $x-y=4$ . Find their intersection point.

See Solution

Problem 20517

Calculate $3 \frac{1}{2} \times \frac{31}{2}$ .

See Solution

Problem 20518

Divide 2,789 by 36.

See Solution

Problem 20519

C. 5 hundreds $\times 10=$ hundreds. What is the result?

See Solution

Problem 20520

Calculate $2,789 \div 36$ .

See Solution

Problem 20521

Graph the system: $x+y=-2$ and $x-y=4$ . Choose A (ordered pair), B (equation), or C (no solution: $\varnothing$ ).

See Solution

Problem 20522

Solve for real $x$ in the equation: $4 x^{3}-8 x^{2}=0$ . Provide answers as a comma-separated list.

See Solution

Problem 20523

Find the least common multiple (LCM) of 15 and 40. A. 25 B. 600 C. 120 D. 5

See Solution

Problem 20524

Calculate $215 \div 2$ .

See Solution

Problem 20525

Graph the system of equations: $x+y=-1$ and $x-y=7$ .

See Solution

Problem 20526

Convert $0.000450 \mathrm{~cm}$ to $\mathrm{nm}$ .

See Solution

Problem 20527

Divide 18 by 153 using long division.

See Solution

Problem 20528

Diego paid a \$2.25 pickup fee and \$1.75 per mile. If his total fare was \$28.50, how far did he travel?

See Solution

Problem 20529

Find Rosalyn's regular hourly wage given she worked 44 hours and earned \$1025, with overtime pay at 2.5 times her wage.

See Solution

Problem 20530

Divide 34.75 by 5.

See Solution

Problem 20531

Evaluate the function $g(x)=4x+1$ for: (a) $g(-4)$ , (b) $g(a)$ , (c) $g(x^{3})$ , (d) $g(4x-3)$ .

See Solution

Problem 20532

Convert 37.5 inches to meters ( $m$ ).

See Solution

Problem 20533

Find the missing side length in the second triangle given corresponding sides 66 and 154 from similar triangles.

See Solution

Problem 20534

Find the abundance of ${ }^{10} \mathrm{~B}$ and ${ }^{11} \mathrm{~B}$ given their masses and average atomic mass of boron, $10.81 \mathrm{~u}$ .

See Solution

Problem 20535

Gallium has two isotopes. One is ${ }^{71}$ Ga with mass $70.9247050 \mathrm{amu}$ and abundance $39.892 \%$ . Find the mass number of the other isotope.

See Solution

Problem 20536

Find the missing side length of two similar triangles with sides 36, 36, 18 and 24, 48.

See Solution

Problem 20537

Evaluate $g(x)=5 x^{2}-8$ for: (a) $g(-7)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(5 x-7)$ .

See Solution

Problem 20538

Find the value of $d$ given that $d = a_2 - a_1$ , where $a_2 = 22$ and $a_1 = 12$ .

See Solution

Problem 20539

Find the length and width of a field with a perimeter of 100 m, where length is $14 \mathrm{~m}$ more than width.

See Solution

Problem 20540

Identify $a_{1}$ and $d$ in the sequence $12, 22, 32, 42, 52$ using $a_{n}=a_{1}+(n-1)d$ . Explain $a_{2}, a_{3}, a_{4}, a_{5}$ .

See Solution

Problem 20541

Evaluate $(f \circ g)(6)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ . What is the simplified result?

See Solution

Problem 20542

Katrina has 60 GB. Her father has 10 times that. How much storage does he have? Explain your answer.

See Solution

Problem 20543

Evaluate $(f \circ g)(6)$ and $(g \circ f)(-3)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ .

See Solution

Problem 20544

Find all real solutions for the equation $x^{3} = 81x$ . Enter answers as a comma-separated list.

See Solution

Problem 20545

Find all real solutions for the equation: $6x^5 - 24x = 0$ .

See Solution

Problem 20546

Calculate the interior angle sum of a 9-sided polygon. Round to the nearest tenth if needed.

See Solution

Problem 20547

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

See Solution

Problem 20548

Divide 139 by 4 using long division.

See Solution

Problem 20549

Solve for all real values of $x$ in the equation $x = 5x^5 - 45x$ .

See Solution

Problem 20550

Divide 18 by 153.

See Solution

Problem 20551

Find $t$ when the rocket's height $h=92$ feet, given $h=188t-16t^2$ . Round to the nearest hundredth.

See Solution

Problem 20552

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

See Solution

Problem 20553

Solve for all real solutions of the equation: $x = x^3 - 4x^2 + x - 4 = x^2 + 1$ .

See Solution

Problem 20554

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

See Solution

Problem 20555

A number divided by 40 gives a quotient of 6 and a remainder of 15. What is the number?

See Solution

Problem 20556

Find all real solutions for the equation $z + \frac{16}{z+2} = 6$ . Enter answers as a comma-separated list.

See Solution

Problem 20557

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

See Solution

Problem 20558

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

See Solution

Problem 20559

Convert $375 \mathrm{~m/s}$ to $\mathrm{ft/min}$ .

See Solution

Problem 20560

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

See Solution

Problem 20561

Calculate the slope of the line connecting the points $(-4,9)$ and $(10,-6)$ .

See Solution

Problem 20562

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

See Solution

Problem 20563

Solve the equation for real values of $x$ : $\frac{15}{x}-\frac{9}{x-2}+4=0$ . List answers as comma-separated values.

See Solution

Problem 20564

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

See Solution

Problem 20565

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

See Solution

Problem 20566

Solve for real values of $x$ in the equation $x=\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 20567

Find the x-intercepts of the function $f(x)=\frac{x^{2}+2}{x^{2}+9x+9}$ .

See Solution

Problem 20568

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

See Solution

Problem 20569

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

See Solution

Problem 20570

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

See Solution

Problem 20571

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

See Solution

Problem 20572

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

See Solution

Problem 20573

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 20574

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.

See Solution

Problem 20575

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

See Solution

Problem 20576

Calculate $-189.987 - 30.87$ . What is the result?

See Solution

Problem 20577

Convert $19.3 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{in}^{3}$ .

See Solution

Problem 20578

Evaluate: $10 + 3^{3} \div 9$

See Solution

Problem 20579

Find the average yearly salaries of individuals with a bachelor's and master's degree, given their combined earnings of \$124,000.

See Solution

Problem 20580

Find the side lengths of a right triangle where the longer leg is $19 \mathrm{~cm}$ more than $5$ times the shorter leg and the hypotenuse is $20 \mathrm{~cm}$ more than $5$ times the shorter leg.

See Solution

Problem 20581

Find the break-even point for the cost function $C(x)=39000+2400x$ and revenue function $R(x)=3150x$ .

See Solution

Problem 20582

Find $UW$ given $UV=5$ , $VW=x+5$ , and $UW=6x$ .

See Solution

Problem 20583

Find the composite function $(f \circ g)(x)$ for $f(x)=x^{2}+9$ and $g(x)=x^{2}-6$ .

See Solution

Problem 20584

If $BC=6x$ , $CD=9$ , and $BD=9x$ , find the value of $BC$ . Simplify your answer as a fraction, mixed number, or integer.

See Solution

Problem 20585

Find $x$ such that $f(x)=x^2-3x-4=-4$ and also calculate $f(4)$ .

See Solution

Problem 20586

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

See Solution

Problem 20587

Find $K L$ given $K L=6 x$ , $L M=15 x-11$ , and $K M=20 x+3$ . Simplify your answer.

See Solution

Problem 20588

Find the drug amount $D(h)=9e^{-0.4h}$ after 5 hours. Round to two decimals.

See Solution

Problem 20589

Set up and solve the equation for Joe's miles driven if he was reimbursed \$ 260 for lodging and travel costs.

See Solution

Problem 20590

Find the inverse of the one-to-one function $f(x) = 8x$ .

See Solution

Problem 20591

An image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

See Solution

Problem 20592

Solve the equation: $(\frac{1}{5})^{x} = 625$ .

See Solution

Problem 20593

Find the value of $\ln e^{8}$ .

See Solution

Problem 20594

Solve for $x$ in the equation $e^{5 x} = 3$ .

See Solution

Problem 20595

Find the inverse of the one-to-one function $f(x)=\frac{3}{7 x+8}$ .

See Solution

Problem 20596

Find the radical. If it doesn't exist as a real number, write "DNE".
$\sqrt{0.49}=$

See Solution

Problem 20597

Convert the following expressions to decimals: a. $(3 \times 10)+(5 \times 1)+(2 \times \frac{1}{10})+(7 \times \frac{1}{100})+(6 \times \frac{1}{1000})$ b. $(9 \times 100)+(2 \times 10)+(3 \times 0.1)+(7 \times 0.001)$ c. $(5 \times 1,000)+(4 \times 100)+(8 \times 1)+(6 \times \frac{1}{100})+(5 \times \frac{1}{1000})$

See Solution

Problem 20598

Solve the equation: $\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}$ .

See Solution

Problem 20599

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

See Solution

Problem 20600

Find the inverse of the one-to-one function $f(x)=\sqrt[3]{x+5}$ .

See Solution

1 ...203 204 205 206 207 208 209 ...308

Solve

Problem 20501

Add the fractions: 120+14=□\frac{1}{20}+\frac{1}{4}=\square201​+41​=□ (Type a whole number or a simplified fraction.)

Problem 20502

Find f(10)f(10)f(10) for the function f(x)=x2+8f(x)=\frac{x}{2}+8f(x)=2x​+8. Options: 4, 9, 13, 36.

Problem 20503

Find 11%11\%11% of 342342342. What is the result? (Provide a whole number or a decimal.)

Problem 20504

Find the calories per ounce in a 6-ounce Greek yogurt container with 150 calories.

Problem 20505

Find the polynomial representing the difference: 2x2+7x+6−(3x2−x)2x^{2}+7x+6 - (3x^{2}-x)2x2+7x+6−(3x2−x). Options: A. −x2+8x+6-x^{2}+8x+6−x2+8x+6, B. 2x2+4x+62x^{2}+4x+62x2+4x+6, C. −x2+6x+6-x^{2}+6x+6−x2+6x+6, D. 2x2+5x+62x^{2}+5x+62x2+5x+6.

Problem 20506

What percent of 60 is 72? Find □%\square \%□% such that 72=□100×6072 = \frac{\square}{100} \times 6072=100□​×60.

Problem 20507

Calculate the area and perimeter of a rectangle with length 730\frac{7}{30}307​ inch and width 710\frac{7}{10}107​ inch.

Problem 20508

Subtract the polynomials: (3x2+2x+4)−(x2+2x+1)=?(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?(3x2+2x+4)−(x2+2x+1)=? A. 2x2+32 x^{2}+32x2+3 B. 2x2+4x+32 x^{2}+4 x+32x2+4x+3 C. 2x2+52 x^{2}+52x2+5 D. 2x2+4x+52 x^{2}+4 x+52x2+4x+5

Problem 20509

Find the side length xxx of a square sheet to create a box with volume 100 cubic feet using V(x)=(x−2)2V(x)=(x-2)^{2}V(x)=(x−2)2.

Problem 20510

Subtract the polynomials: (4x² - x + 6) - (x² + 3) = ? A. 5x² - x + 9 B. 3x² - x + 3 C. 4x² - 2x + 9 D. 4x² - 2x + 3

Problem 20511

Find the zeros of the function f(x)=x2−7xf(x)=x^{2}-7 xf(x)=x2−7x by factoring. What are the xxx-intercepts?

Problem 20512

Todd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = 150 miles3 gallons\frac{150 \text{ miles}}{3 \text{ gallons}}3 gallons150 miles​.

Problem 20513

Calculate 75.11−4.475.11 - 4.475.11−4.4.

Problem 20514

Find the cost in 2014 using the model C=2.85n+30.52C=2.85n+30.52C=2.85n+30.52, where nnn is the years since 1990.

Problem 20515

Find the intercepts of the line given by −4x+7y=3-4x + 7y = 3−4x+7y=3. Provide exact values.

Problem 20516

Graph the equations: x+y=−2x+y=-2x+y=−2 and x−y=4x-y=4x−y=4. Find their intersection point.

Problem 20517

Calculate 312×3123 \frac{1}{2} \times \frac{31}{2}321​×231​.

Problem 20518

Divide 2,789 by 36.

Problem 20519

C. 5 hundreds ×10=\times 10=×10= hundreds. What is the result?

Problem 20520

Calculate 2,789÷362,789 \div 362,789÷36.

Problem 20521

Graph the system: x+y=−2x+y=-2x+y=−2 and x−y=4x-y=4x−y=4. Choose A (ordered pair), B (equation), or C (no solution: ∅\varnothing∅).

Problem 20522

Solve for real xxx in the equation: 4x3−8x2=04 x^{3}-8 x^{2}=04x3−8x2=0. Provide answers as a comma-separated list.

Problem 20523

Find the least common multiple (LCM) of 15 and 40. A. 25 B. 600 C. 120 D. 5

Problem 20524

Calculate 215÷2215 \div 2215÷2.

Problem 20525

Graph the system of equations: x+y=−1x+y=-1x+y=−1 and x−y=7x-y=7x−y=7.

Problem 20526

Convert 0.000450 cm0.000450 \mathrm{~cm}0.000450 cm to nm\mathrm{nm}nm.

Problem 20527

Divide 18 by 153 using long division.

Problem 20528

Diego paid a \$2.25 pickup fee and \$1.75 per mile. If his total fare was \$28.50, how far did he travel?

Problem 20529

Find Rosalyn's regular hourly wage given she worked 44 hours and earned \$1025, with overtime pay at 2.5 times her wage.

Problem 20530

Divide 34.75 by 5.

Problem 20531

Evaluate the function g(x)=4x+1g(x)=4x+1g(x)=4x+1 for: (a) g(−4)g(-4)g(−4), (b) g(a)g(a)g(a), (c) g(x3)g(x^{3})g(x3), (d) g(4x−3)g(4x-3)g(4x−3).

Problem 20532

Convert 37.5 inches to meters (mmm).

Problem 20533

Find the missing side length in the second triangle given corresponding sides 66 and 154 from similar triangles.

Problem 20534

Find the abundance of 10 B{ }^{10} \mathrm{~B}10 B and 11 B{ }^{11} \mathrm{~B}11 B given their masses and average atomic mass of boron, 10.81 u10.81 \mathrm{~u}10.81 u.

Problem 20535

Gallium has two isotopes. One is 71{ }^{71}71 Ga with mass 70.9247050amu70.9247050 \mathrm{amu}70.9247050amu and abundance 39.892%39.892 \%39.892%. Find the mass number of the other isotope.

Problem 20536

Find the missing side length of two similar triangles with sides 36, 36, 18 and 24, 48.

Problem 20537

Evaluate g(x)=5x2−8g(x)=5 x^{2}-8g(x)=5x2−8 for: (a) g(−7)g(-7)g(−7), (b) g(b)g(b)g(b), (c) g(x3)g(x^{3})g(x3), (d) g(5x−7)g(5 x-7)g(5x−7).

Problem 20538

Find the value of ddd given that d=a2−a1d = a_2 - a_1d=a2​−a1​, where a2=22a_2 = 22a2​=22 and a1=12a_1 = 12a1​=12.

Problem 20539

Find the length and width of a field with a perimeter of 100 m, where length is 14 m14 \mathrm{~m}14 m more than width.

Problem 20540

Add the fractions: $\frac{1}{20}+\frac{1}{4}=\square$ (Type a whole number or a simplified fraction.)

Find $f(10)$ for the function $f(x)=\frac{x}{2}+8$ . Options: 4, 9, 13, 36.

Find $11\%$ of $342$ . What is the result? (Provide a whole number or a decimal.)

Find the polynomial representing the difference: $2x^{2}+7x+6 - (3x^{2}-x)$ . Options: A. $-x^{2}+8x+6$ , B. $2x^{2}+4x+6$ , C. $-x^{2}+6x+6$ , D. $2x^{2}+5x+6$ .

What percent of 60 is 72? Find $\square \%$ such that $72 = \frac{\square}{100} \times 60$ .

Calculate the area and perimeter of a rectangle with length $\frac{7}{30}$ inch and width $\frac{7}{10}$ inch.

Subtract the polynomials: $(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?$ A. $2 x^{2}+3$ B. $2 x^{2}+4 x+3$ C. $2 x^{2}+5$ D. $2 x^{2}+4 x+5$

Find the side length $x$ of a square sheet to create a box with volume 100 cubic feet using $V(x)=(x-2)^{2}$ .

Find the zeros of the function $f(x)=x^{2}-7 x$ by factoring. What are the $x$ -intercepts?

Todd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = $\frac{150 \text{ miles}}{3 \text{ gallons}}$ .

Calculate $75.11 - 4.4$ .

Find the cost in 2014 using the model $C=2.85n+30.52$ , where $n$ is the years since 1990.

Find the intercepts of the line given by $-4x + 7y = 3$ . Provide exact values.

Graph the equations: $x+y=-2$ and $x-y=4$ . Find their intersection point.

Calculate $3 \frac{1}{2} \times \frac{31}{2}$ .

C. 5 hundreds $\times 10=$ hundreds. What is the result?

Calculate $2,789 \div 36$ .

Graph the system: $x+y=-2$ and $x-y=4$ . Choose A (ordered pair), B (equation), or C (no solution: $\varnothing$ ).

Solve for real $x$ in the equation: $4 x^{3}-8 x^{2}=0$ . Provide answers as a comma-separated list.

Calculate $215 \div 2$ .

Graph the system of equations: $x+y=-1$ and $x-y=7$ .

Convert $0.000450 \mathrm{~cm}$ to $\mathrm{nm}$ .

Evaluate the function $g(x)=4x+1$ for: (a) $g(-4)$ , (b) $g(a)$ , (c) $g(x^{3})$ , (d) $g(4x-3)$ .

Convert 37.5 inches to meters ( $m$ ).

Find the abundance of ${ }^{10} \mathrm{~B}$ and ${ }^{11} \mathrm{~B}$ given their masses and average atomic mass of boron, $10.81 \mathrm{~u}$ .

Gallium has two isotopes. One is ${ }^{71}$ Ga with mass $70.9247050 \mathrm{amu}$ and abundance $39.892 \%$ . Find the mass number of the other isotope.

Evaluate $g(x)=5 x^{2}-8$ for: (a) $g(-7)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(5 x-7)$ .

Find the value of $d$ given that $d = a_2 - a_1$ , where $a_2 = 22$ and $a_1 = 12$ .

Find the length and width of a field with a perimeter of 100 m, where length is $14 \mathrm{~m}$ more than width.

Identify $a_{1}$ and $d$ in the sequence $12, 22, 32, 42, 52$ using $a_{n}=a_{1}+(n-1)d$ . Explain $a_{2}, a_{3}, a_{4}, a_{5}$ .

Evaluate $(f \circ g)(6)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ . What is the simplified result?

Evaluate $(f \circ g)(6)$ and $(g \circ f)(-3)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ .

Find all real solutions for the equation $x^{3} = 81x$ . Enter answers as a comma-separated list.

Find all real solutions for the equation: $6x^5 - 24x = 0$ .

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

Solve for all real values of $x$ in the equation $x = 5x^5 - 45x$ .

Find $t$ when the rocket's height $h=92$ feet, given $h=188t-16t^2$ . Round to the nearest hundredth.

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Solve for all real solutions of the equation: $x = x^3 - 4x^2 + x - 4 = x^2 + 1$ .

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

Find all real solutions for the equation $z + \frac{16}{z+2} = 6$ . Enter answers as a comma-separated list.

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

Convert $375 \mathrm{~m/s}$ to $\mathrm{ft/min}$ .

Calculate the slope of the line connecting the points $(-4,9)$ and $(10,-6)$ .

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

Solve the equation for real values of $x$ : $\frac{15}{x}-\frac{9}{x-2}+4=0$ . List answers as comma-separated values.

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

Solve for real values of $x$ in the equation $x=\frac{x^{2}}{x+20}=10$ .

Find the x-intercepts of the function $f(x)=\frac{x^{2}+2}{x^{2}+9x+9}$ .

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.