Equation

Problem 12901

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:
(a) Inner surface charge density.
(b) Outer surface charge density.
(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

See Solution

Problem 12902

If $\sec \theta=6$ , find $\csc \theta$ , $\cot \theta$ , $\sin \theta$ , $\cos \theta$ , and $\tan \theta$ .

See Solution

Problem 12903

1. Find the identity element for $a * b = a + b - 3$ . A. 3 B. 2 C. 0 D. -3
2. Find the sum of the sequence $4, -2, 1, -\frac{1}{2}, \ldots$ . A. $-\frac{3}{4}$ B. $\frac{3}{4}$ C. $\frac{8}{3}$ D. 8
3. Solve $256^{(x+1)} = 8^{(1 - x^{2})}$ . A. $-1, -\frac{5}{3}$ B. $-\frac{3}{8}, -\frac{5}{3}$ C. $\frac{8}{3}, \frac{3}{5}$ D. $\frac{8}{3}, \frac{5}{3}$
4. If $\alpha$ and $\beta$ are roots of $x^{2} + 3x - 4 = 0$ , find $\alpha^{2} + \beta^{2} - 3\alpha\beta$ . A. -11 B. 20 C. 21 D. 29
5. Rationalize $\frac{1}{\sqrt{3} - \sqrt{2}}$ . A. $\sqrt{3} - \sqrt{2}$ B. $\frac{\sqrt{3} + \sqrt{2}}{3}$ C. $\frac{\sqrt{3} + \sqrt{2}}{2}$ D. $\sqrt{3} + \sqrt{2}$

See Solution

Problem 12904

A football is kicked from 6 ft with a speed of 75 ft/s. Use $h=6+75t-16t^{2}$ to find height at $t=4$ seconds.

See Solution

Problem 12905

1. Find the identity element for the operation $a * b = a + b - 3$ . A. 3 B. 2 C. 0 D. -3
2. Calculate the sum of the sequence $4, -2, 1, -\frac{1}{2}, \ldots$ . A. $-\frac{3}{4}$ B. $\frac{3}{4}$ C. $\frac{8}{3}$ D. 8
3. Solve $256^{(x+1)} = 8^{(1-x^{2})}$ . A. $-1, -\frac{5}{3}$ B. $-\frac{3}{8}, -\frac{5}{3}$ C. $\frac{8}{3}, \frac{3}{5}$ D. $\frac{8}{3}, \frac{5}{3}$
4. For roots $\alpha$ and $\beta$ of $x^{2} + 3x - 4 = 0$ , find $\alpha^{2} + \beta^{2} - 3\alpha\beta$ . A. -11 B. 20 C. 21 D. 29
5. Rationalize $\frac{1}{\sqrt{3} - \sqrt{2}}$ . A. $\sqrt{3} - \sqrt{2}$ B. $\frac{\sqrt{3} + \sqrt{2}}{3}$ C. $\frac{\sqrt{3} + \sqrt{2}}{2}$ D. $\sqrt{3} + \sqrt{2}$
6. Solve $\log_{5}(6x + 7) - \log_{5} 6 = 2$ for $x$ .

See Solution

Problem 12906

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

See Solution

Problem 12907

At Woodhaven High, 65% of 760 seniors are 6.0 feet tall or less. How many seniors does that equal?

See Solution

Problem 12908

Find the upper limit of the heart range for a 27-year-old, given lower limit $H=\frac{7}{10}(220-a)$ .

See Solution

Problem 12909

Find calories needed per day for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Does it over/underestimate the graph? By how much?

See Solution

Problem 12910

What percent is 600 of 900? Solve for $x$ in $600=\frac{x}{100} \times 900$ .

See Solution

Problem 12911

Find the lower limit of heart rate $H=\frac{7}{10}(220-a)$ for a 27-year-old.

See Solution

Problem 12912

Find calories needed per day for females aged 4 to 8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate?

See Solution

Problem 12913

Tasha sells 22 clothing items for \$0.95 each. How much will she earn? Options: \$22.95, \$21.05, \$20.90, \$21.00.

See Solution

Problem 12914

Tasha sells 100 items for \$0.95 each. How much does she receive? Options: \$9.50, \$95, \$950, \$90.50.

See Solution

Problem 12915

Is the statement $2 + 7x = 9x$ true or false? If false, correct it to make it true.

See Solution

Problem 12916

Is the statement $3 + 9x = 12x$ true or false? If false, correct it to make it true.

See Solution

Problem 12917

Solve for $x$ : $2 + 7x = 9x$ .

See Solution

Problem 12918

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: $10 + 3$ .

See Solution

Problem 12919

Find the length of each segment when a circle with radius 8 cm is divided into 16 equal parts.

See Solution

Problem 12920

Calculate calories needed for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Is this estimate vs. $F=1113$ over/under? By how much?

See Solution

Problem 12921

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

See Solution

Problem 12922

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

See Solution

Problem 12923

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

See Solution

Problem 12924

An ice cream shop aims to sell a mean of 45 cones daily. Given sales: 54, 45, 33, 39, 48, 40, 41. How many more to meet the goal? A. 35 B. 15 C. 25 D. 5

See Solution

Problem 12925

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

See Solution

Problem 12926

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

See Solution

Problem 12927

In Oak City, predict how many adults get news from newspapers based on a sample of 50,000. Round to the nearest whole number.

See Solution

Problem 12928

Solve for $y$ in the equation: $13=-2(y-4)+3y$ .

See Solution

Problem 12929

Valentino sold 502 thin, 215 thick, 164 stuffed, and 194 pan crusts. Expect thick crusts in next 4000 pizzas. Calculate.

See Solution

Problem 12930

Solve the equation: $5(3-x)+2(3-x)=14$ .

See Solution

Problem 12931

Find the number $n$ such that $2n + 13 = 75$ . What is $n$ ?

See Solution

Problem 12932

High Desert Potteryworks needs to calculate overhead rates and costs for Job 205.
1. Find overhead rates for Molding and Painting.
2. Calculate total overhead for Job 205. 3-a. Determine total manufacturing cost for Job 205. 3-b. Find unit cost if Job 205 has 23 units.

See Solution

Problem 12933

Solve the equation: $3(4g + 6) = 2(6g + 9)$ .

See Solution

Problem 12934

Solve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

See Solution

Problem 12935

Linda and Bob each deposit \$60,000 at 6\% interest. Find their interest for the first three years and compare who earns more.

See Solution

Problem 12936

Simplify the expression: $y=\cos ^{2} x+\sin ^{2} x+1$ .

See Solution

Problem 12937

Complete the table for $x + 2y = 3$ and graph the resulting equation.

See Solution

Problem 12938

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

See Solution

Problem 12939

Identify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

See Solution

Problem 12940

Jim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: $d = \frac{290}{5} \times 11$ .

See Solution

Problem 12941

Marta solves $S=2 \pi r h+2 \pi r^{2}$ for $h$ . What is the correct expression for $h$ ?

See Solution

Problem 12942

Find the inverse equation of the relation $y=3x+2$ .

See Solution

Problem 12943

Find $y$ in the equation $\frac{9}{12}=\frac{y}{8}$ . Simplify your answer.

See Solution

Problem 12944

Find the mass of sodium chloride in tonnes in Earth's seawater volume of $3.3 \times 10^{8} \mathrm{mi}^{3}$ , with $3.5\%$ by mass.

See Solution

Problem 12945

Is the equation $3 x-7=0$ equivalent to $3 x=-7$ true or false? If false, correct it.

See Solution

Problem 12946

Solve the equation $8x = -16$ and verify your solution by substituting it back into the equation.

See Solution

Problem 12947

Solve the equation $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

See Solution

Problem 12948

Solve the equation $3x - 12 = -63$ and verify your solution by substituting it back into the equation.

See Solution

Problem 12949

Solve the proportion $\frac{7}{13}=\frac{8}{v}$ for $v$ and round to the nearest tenth. What is $v$ ?

See Solution

Problem 12950

Solve the equation $2(8x - 1) = 25$ and verify your solution by substituting it back into the original equation.

See Solution

Problem 12951

Solve for $y$ in the equation $\frac{5}{2}=\frac{3}{y-3}$ . Simplify your answer.

See Solution

Problem 12952

Solve the equation: $5x + 7 = 3x + 41$

See Solution

Problem 12953

Solve for $u$ in the equation $4(v-4)-6=-4(-3 v+3)-4 u$ .

See Solution

Problem 12954

Solve the equation: 24(y+2) = 3(7y+8)

See Solution

Problem 12955

Solve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

See Solution

Problem 12956

Solve for $x$ in the equation: $\frac{8 x}{5}-5=11$ .

See Solution

Problem 12957

Solve for $x$ : $\frac{24}{x+4}=\frac{8}{x}$

See Solution

Problem 12958

Solve the equation: $\frac{5 r+15}{20}=\frac{3 r-36}{3}$

See Solution

Problem 12959

Find the height of a hot-air balloon at $t = 7$ minutes using the equation $y = 870 - 14.8t$ .

See Solution

Problem 12960

Solve the equation $4 t = 48$ .

See Solution

Problem 12961

Find the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

See Solution

Problem 12962

Identify the student's first mistake in solving the equation $|d+600|=400$ . Steps are: $d+600=400$ or $d+600=-400$ .

See Solution

Problem 12963

Find the healthy weight for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

See Solution

Problem 12964

Find the blood volume for an 80-pound person, given that 200 pounds corresponds to 6 quarts. Use the proportion $\frac{6}{200} = \frac{x}{80}$ .

See Solution

Problem 12965

A quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. $|y+10|=65$ $|y-10|=65$ $|y+65|=10$ $|y-65|=10$

See Solution

Problem 12966

Determine if a score of 77 is within 4 strokes of par 72. Use $|p - 72| \leq 4$ to analyze the score.

See Solution

Problem 12967

Find the dollar amount of merchandise needed for equal costs under Plan A ( $\$ 110 + 0.8x$ ) and Plan B ( $\$ 20 + 0.9x$ ).

See Solution

Problem 12968

A car averages 28 miles per gallon, varying by 6 to 10 mpg.
Part A: Pick a value from 6 to 10 for mpg. Write an equation for the mileage range.
Part B: Solve the equation and explain the result. Show all work.

See Solution

Problem 12969

14 million + 12 hundred thousand = $x$

See Solution

Problem 12970

Calculate the time to double an investment given by $y = y_{0} e^{0.055 t}$ . Round your answer to the nearest tenth.

See Solution

Problem 12971

Find $m \angle A B E$ given $m \angle A B E=(2 n+7)^{\circ}$ and $m \angle E B F=(4 n-13)^{\circ}$ . Also, find $m \angle E B H$ if $m \angle E B H=(6 x+12)^{\circ}$ and $m \angle H B C=(8 x-10)^{\circ}$ .

See Solution

Problem 12972

Calculate the $\mathrm{pH}$ for $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=5.79 \times 10^{-4} \mathrm{M}$ .

See Solution

Problem 12973

Find the limit: $\lim _{x \rightarrow -5} \frac{x^{2}-25}{x^{2}-2x-35}$ .

See Solution

Problem 12974

Find $m \angle F L H$ given $m \angle F L G=(14 x+5)^{\circ}$ and $m \angle H L G=(17 x-1)^{\circ}$ .

See Solution

Problem 12975

Find the pH of a solution with hydronium ion concentration of $1 \times 10^{-11} M$ , considering significant figures.

See Solution

Problem 12976

Betty owes \$57,600 on a 9%, 170-day note. After payments of \$11,520 (day 60) and \$23,040 (day 70), find:
1. Balance after first payment:
2. Balance after second payment:
3. Balance at maturity:

See Solution

Problem 12977

Find the concentration of $\mathrm{H}_{3} \mathrm{O}^{+}$ in a solution with $\mathrm{pH} = 3.6$ using $\mathrm{pH}=-\log_{10}\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]$ .

See Solution

Problem 12978

Find the half-life of a substance decaying at $5.7\%$ per day. Round your answer to the nearest hundredth.

See Solution

Problem 12979

How long does it take for a bacteria population to double at a continuous growth rate of $1\%$ per hour? Round to the nearest hundredth.

See Solution

Problem 12980

Find the value of $10^{-9}$ .

See Solution

Problem 12981

Find the hourly growth rate of a bacteria population that grows from 2200 to 2522 in 5 hours using continuous growth model.

See Solution

Problem 12982

If $\mathrm{m} \angle \mathrm{ABC}=180^{\circ}$ , then $\angle ABC$ is: Acute, A) Obtuse.

See Solution

Problem 12983

Find the annual interest rate for an investment of \$3000 that grows to \$3240 in 2 years, compounded continuously.

See Solution

Problem 12984

Find the concentration of $\mathrm{H}_{3} \mathrm{O}^{+}$ in moles per liter for a solution with a $\mathrm{pH}$ of $9.000$ .

See Solution

Problem 12985

Find the equation for the acceptable weight range of bags filled with 14 ounces of chocolate, given a tolerance of 0.3 ounces.

See Solution

Problem 12986

You have grades of 86 and 91. What do you need on the final to average at least 90? Also, what final grades risk dropping below a B (80)?

See Solution

Problem 12987

Bob's Gift Shop sold 500 Mother's Day cards. Jacob sold 4% of them. How many cards did he sell?

See Solution

Problem 12988

There are 220 students in seventh grade, and $25\%$ are in the Environmental Club. How many are in the club?

See Solution

Problem 12989

A player made 15 foul shots, which is $75\%$ of their attempts. How many total foul shots did they attempt?

See Solution

Problem 12990

Solve for $x$ in the equation: $4 x + 9 = 6 x - 27$ .

See Solution

Problem 12991

Solve for $x$ in the equation $\frac{1}{7} \cdot x=1$ .

See Solution

Problem 12992

What is $3 \div 4 \frac{1}{2}$ ?

See Solution

Problem 12993

Calculate the slope of the line between points $(-5, 3)$ and $(-2, -3)$ using $m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}$ .

See Solution

Problem 12994

Solve for $x$ if $\angle D$ and $\angle E$ are supplementary: $m \angle D = (4x + 40)^\circ$ , $m \angle E = (-2x + 30)^\circ$ .

See Solution

Problem 12995

A rocket car travels at 640 mph. How long to cover 384 miles? A. 36 min B. 245 min C. 256 min D. 1.7 hrs

See Solution

Problem 12996

Find the distance $AB$ for points $A(-4,1)$ and $B(3,-1)$ using $d=\sqrt{(-4-3)^{2}+(1+1)^{2}}$ . Then find $EF$ for $E(-7,-2)$ and $F(11,3)$ .

See Solution

Problem 12997

Solve for 'x' in the equation $\frac{2x+24}{-76+7x} = 0$ .

See Solution

Problem 12998

Find the side lengths of a triangle with a perimeter of 90 cm and sides in the ratio $3:4:5$ . Choices?

See Solution

Problem 12999

If Earth spins faster, find the period $T$ for centripetal acceleration $a = 9.8 \, \mathrm{m/s}^{2}$ using $a = \frac{4\pi^{2}r}{T^{2}}$ . Use $r = 6.38 \times 10^{6}$ m. Output $T$ in minutes.

See Solution

Problem 13000

Calculate the centripetal acceleration at Earth's equator ( $r = 6,371 \text{ km}$ ) and find the period for $9.8 \text{ m/s}^2$ .

See Solution

1 ...127 128 129 130 131 132 133 ...188

Equation

Problem 12901

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:(a) Inner surface charge density.(b) Outer surface charge density.(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

Problem 12902

If sec⁡θ=6\sec \theta=6secθ=6, find csc⁡θ\csc \thetacscθ, cot⁡θ\cot \thetacotθ, sin⁡θ\sin \thetasinθ, cos⁡θ\cos \thetacosθ, and tan⁡θ\tan \thetatanθ.

Problem 12903

Problem 12904

A football is kicked from 6 ft with a speed of 75 ft/s. Use h=6+75t−16t2h=6+75t-16t^{2}h=6+75t−16t2 to find height at t=4t=4t=4 seconds.

Problem 12905

Problem 12906

Solve for xxx: 3(9x−8)+15x=03(9x - 8) + 15x = 03(9x−8)+15x=0.

Problem 12907

At Woodhaven High, 65% of 760 seniors are 6.0 feet tall or less. How many seniors does that equal?

Problem 12908

Find the upper limit of the heart range for a 27-year-old, given lower limit H=710(220−a)H=\frac{7}{10}(220-a)H=107​(220−a).

Problem 12909

Find calories needed per day for females aged 4-8 using F=−81x2+655x+616F=-81 x^{2}+655 x+616F=−81x2+655x+616. Does it over/underestimate the graph? By how much?

Problem 12910

What percent is 600 of 900? Solve for xxx in 600=x100×900600=\frac{x}{100} \times 900600=100x​×900.

Problem 12911

Find the lower limit of heart rate H=710(220−a)H=\frac{7}{10}(220-a)H=107​(220−a) for a 27-year-old.

Problem 12912

Find calories needed per day for females aged 4 to 8 using F=−81x2+655x+616F=-81 x^{2}+655 x+616F=−81x2+655x+616. Does it overestimate or underestimate?

Problem 12913

Tasha sells 22 clothing items for \$0.95 each. How much will she earn? Options: \$22.95, \$21.05, \$20.90, \$21.00.

Problem 12914

Tasha sells 100 items for \$0.95 each. How much does she receive? Options: \$9.50, \$95, \$950, \$90.50.

Problem 12915

Is the statement 2+7x=9x2 + 7x = 9x2+7x=9x true or false? If false, correct it to make it true.

Problem 12916

Is the statement 3+9x=12x3 + 9x = 12x3+9x=12x true or false? If false, correct it to make it true.

Problem 12917

Solve for xxx: 2+7x=9x2 + 7x = 9x2+7x=9x.

Problem 12918

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: 10+310 + 310+3.

Problem 12919

Find the length of each segment when a circle with radius 8 cm is divided into 16 equal parts.

Problem 12920

Calculate calories needed for females aged 4-8 using F=−81x2+655x+616F=-81 x^{2}+655 x+616F=−81x2+655x+616. Is this estimate vs. F=1113F=1113F=1113 over/under? By how much?

Problem 12921

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) 5π5 \pi5π, (B) 16π16 \pi16π, (C) 30π30 \pi30π, (D) 225π225 \pi225π.

Problem 12922

A circular cake weighs 12 pounds. If wedges with a 60∘60^{\circ}60∘ angle are cut, what is the weight of each wedge?

Problem 12923

An arc is 16\frac{1}{6}61​ of a circle's circumference and measures 3π3 \pi3π inches. Find the circle's area in square inches.

Problem 12924

An ice cream shop aims to sell a mean of 45 cones daily. Given sales: 54, 45, 33, 39, 48, 40, 41. How many more to meet the goal? A. 35 B. 15 C. 25 D. 5

Problem 12925

Find the value of yyy if HHH is the midpoint of FG‾\overline{FG}FG with G(4x,6y+6)G(4x, 6y+6)G(4x,6y+6), F(2y+2,2x+4)F(2y+2,2x+4)F(2y+2,2x+4), and H(4,15)H(4,15)H(4,15).

Problem 12926

Find the value of kkk if the areas of rectangles 3k×33k \times 33k×3 and (k+3)×6(k+3) \times 6(k+3)×6 are equal.

Problem 12927

In Oak City, predict how many adults get news from newspapers based on a sample of 50,000. Round to the nearest whole number.

Problem 12928

Solve for yyy in the equation: 13=−2(y−4)+3y13=-2(y-4)+3y13=−2(y−4)+3y.

Problem 12929

Valentino sold 502 thin, 215 thick, 164 stuffed, and 194 pan crusts. Expect thick crusts in next 4000 pizzas. Calculate.

Problem 12930

Solve the equation: 5(3−x)+2(3−x)=145(3-x)+2(3-x)=145(3−x)+2(3−x)=14.

Problem 12931

Find the number nnn such that 2n+13=752n + 13 = 752n+13=75. What is nnn?

Problem 12932

High Desert Potteryworks needs to calculate overhead rates and costs for Job 205. 1. Find overhead rates for Molding and Painting.2. Calculate total overhead for Job 205. 3-a. Determine total manufacturing cost for Job 205. 3-b. Find unit cost if Job 205 has 23 units.

Problem 12933

Solve the equation: 3(4g+6)=2(6g+9)3(4g + 6) = 2(6g + 9)3(4g+6)=2(6g+9).

Problem 12934

Solve the equation: 5(1+2m)=12(8+20m)5(1+2 m)=\frac{1}{2}(8+20 m)5(1+2m)=21​(8+20m).

Problem 12935

Linda and Bob each deposit \$60,000 at 6\% interest. Find their interest for the first three years and compare who earns more.

Problem 12936

Simplify the expression: y=cos⁡2x+sin⁡2x+1y=\cos ^{2} x+\sin ^{2} x+1y=cos2x+sin2x+1.

Problem 12937

Complete the table for x+2y=3x + 2y = 3x+2y=3 and graph the resulting equation.

Problem 12938

Graph the equation x+2y=3x + 2y = 3x+2y=3 using the points: (0, 32\frac{3}{2}23​), (3, 0), (8, 1).

Problem 12939

Identify and fix the mistake in solving the equation: −m3=−4-\frac{m}{3}=-4−3m​=−4 leading to m=−12m=-12m=−12.

Problem 12940

Jim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: d=2905×11d = \frac{290}{5} \times 11d=5290​×11.

Problem 12941

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:
(a) Inner surface charge density.
(b) Outer surface charge density.
(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

If $\sec \theta=6$ , find $\csc \theta$ , $\cot \theta$ , $\sin \theta$ , $\cos \theta$ , and $\tan \theta$ .

A football is kicked from 6 ft with a speed of 75 ft/s. Use $h=6+75t-16t^{2}$ to find height at $t=4$ seconds.

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

Find the upper limit of the heart range for a 27-year-old, given lower limit $H=\frac{7}{10}(220-a)$ .

Find calories needed per day for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Does it over/underestimate the graph? By how much?

What percent is 600 of 900? Solve for $x$ in $600=\frac{x}{100} \times 900$ .

Find the lower limit of heart rate $H=\frac{7}{10}(220-a)$ for a 27-year-old.

Find calories needed per day for females aged 4 to 8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate?

Is the statement $2 + 7x = 9x$ true or false? If false, correct it to make it true.

Is the statement $3 + 9x = 12x$ true or false? If false, correct it to make it true.

Solve for $x$ : $2 + 7x = 9x$ .

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: $10 + 3$ .

Calculate calories needed for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Is this estimate vs. $F=1113$ over/under? By how much?

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

Solve for $y$ in the equation: $13=-2(y-4)+3y$ .

Solve the equation: $5(3-x)+2(3-x)=14$ .

Find the number $n$ such that $2n + 13 = 75$ . What is $n$ ?

High Desert Potteryworks needs to calculate overhead rates and costs for Job 205.
1. Find overhead rates for Molding and Painting.
2. Calculate total overhead for Job 205. 3-a. Determine total manufacturing cost for Job 205. 3-b. Find unit cost if Job 205 has 23 units.

Solve the equation: $3(4g + 6) = 2(6g + 9)$ .

Solve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

Simplify the expression: $y=\cos ^{2} x+\sin ^{2} x+1$ .

Complete the table for $x + 2y = 3$ and graph the resulting equation.

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

Identify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

Jim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: $d = \frac{290}{5} \times 11$ .

Marta solves $S=2 \pi r h+2 \pi r^{2}$ for $h$ . What is the correct expression for $h$ ?

Find the inverse equation of the relation $y=3x+2$ .

Find $y$ in the equation $\frac{9}{12}=\frac{y}{8}$ . Simplify your answer.

Find the mass of sodium chloride in tonnes in Earth's seawater volume of $3.3 \times 10^{8} \mathrm{mi}^{3}$ , with $3.5\%$ by mass.

Is the equation $3 x-7=0$ equivalent to $3 x=-7$ true or false? If false, correct it.

Solve the equation $8x = -16$ and verify your solution by substituting it back into the equation.

Solve the equation $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

Solve the equation $3x - 12 = -63$ and verify your solution by substituting it back into the equation.

Solve the proportion $\frac{7}{13}=\frac{8}{v}$ for $v$ and round to the nearest tenth. What is $v$ ?

Solve the equation $2(8x - 1) = 25$ and verify your solution by substituting it back into the original equation.

Solve for $y$ in the equation $\frac{5}{2}=\frac{3}{y-3}$ . Simplify your answer.

Solve the equation: $5x + 7 = 3x + 41$

Solve for $u$ in the equation $4(v-4)-6=-4(-3 v+3)-4 u$ .

Solve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

Solve for $x$ in the equation: $\frac{8 x}{5}-5=11$ .

Solve for $x$ : $\frac{24}{x+4}=\frac{8}{x}$

Solve the equation: $\frac{5 r+15}{20}=\frac{3 r-36}{3}$

Find the height of a hot-air balloon at $t = 7$ minutes using the equation $y = 870 - 14.8t$ .

Solve the equation $4 t = 48$ .

Find the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

Identify the student's first mistake in solving the equation $|d+600|=400$ . Steps are: $d+600=400$ or $d+600=-400$ .

Find the healthy weight for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

Find the blood volume for an 80-pound person, given that 200 pounds corresponds to 6 quarts. Use the proportion $\frac{6}{200} = \frac{x}{80}$ .

A quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. $|y+10|=65$ $|y-10|=65$ $|y+65|=10$ $|y-65|=10$

Determine if a score of 77 is within 4 strokes of par 72. Use $|p - 72| \leq 4$ to analyze the score.

Find the dollar amount of merchandise needed for equal costs under Plan A ( $\$ 110 + 0.8x$ ) and Plan B ( $\$ 20 + 0.9x$ ).

A car averages 28 miles per gallon, varying by 6 to 10 mpg.
Part A: Pick a value from 6 to 10 for mpg. Write an equation for the mileage range.
Part B: Solve the equation and explain the result. Show all work.

14 million + 12 hundred thousand = $x$

Calculate the time to double an investment given by $y = y_{0} e^{0.055 t}$ . Round your answer to the nearest tenth.

Calculate the $\mathrm{pH}$ for $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=5.79 \times 10^{-4} \mathrm{M}$ .

Find the limit: $\lim _{x \rightarrow -5} \frac{x^{2}-25}{x^{2}-2x-35}$ .

Find $m \angle F L H$ given $m \angle F L G=(14 x+5)^{\circ}$ and $m \angle H L G=(17 x-1)^{\circ}$ .