Math

Problem 56101

Calculate the square of 9 using multiplication tables. What is $9^{2}$ ? Options: 36, 18, 512, 81

See Solution

Problem 56102

Calculate the Mean Absolute Deviation (MAD) for the numbers: 12, 15, 13, 23, 19, 19, 10.

See Solution

Problem 56103

Evaluate the integral $\int_{1}^{4} x f^{\prime}(x) d x$ given that the area under $y=f(x)$ from $x=1$ to $x=4$ is 9.

See Solution

Problem 56104

Calculate the following divisions of fractions:
1. $\frac{3}{5} \div \frac{1}{10}$
2. $\frac{1}{2} \div \frac{1}{4}$
3. $\frac{2}{5} \div \frac{3}{7}$

See Solution

Problem 56105

A 28-inch diameter wheel on a tractor travels 5 miles. How many full revolutions does it make? (Round down.)

See Solution

Problem 56106

Calculate the square of 6 using multiplication tables. What is $6^{2}$ ? Options: 16, 64, 12, 36

See Solution

Problem 56107

A moped slows down from $31 \mathrm{ft} / \mathrm{s}$ at $3 \mathrm{ft} / \mathrm{s}^{2}$ . How far does it travel before stopping? Provide a numerical answer.

See Solution

Problem 56108

Calculate the value of $\frac{31^{2}}{2}$ .

See Solution

Problem 56109

Determine the domain and range of the function $y = \sqrt[3]{2t - 1}$ .

See Solution

Problem 56110

Tanya and Karla's uniform numbers satisfy $t - k = 12$ and $3t + 2k = 141$ . Find the sum $t + k$ .

See Solution

Problem 56111

Find the solutions for the system: $3x - 4y = 6$ and $-9x + 12y = -18$ .

See Solution

Problem 56112

How does the total mechanical energy change as a ball rolls down a frictionless ramp? A. Increases B. Goes to zero C. Stays the same D. Decreases

See Solution

Problem 56113

A cake costs \ $9 more than a pie. 8 cakes and 14 pies sold for \$402. Find the price of a cake using$ c-p=9 $and$ 8c+14p=402$.

See Solution

Problem 56114

Shanika's lamp is a rectangular prism measuring $14^{\prime \prime}$ high, $9^{\circ}$ wide, and $3^{m}$ long. Find the box dimensions with $1^{\prime \prime}$ padding and the box's volume. Show your work.

See Solution

Problem 56115

Which decimals are rational numbers: terminate, repeat, or both?

See Solution

Problem 56116

Write the domain of the function as interval notation: $(1, 13]$ .

See Solution

Problem 56117

Which expression is greater: $4 \times 10^{9}$ or $2,000,000$ ? Choose from $8 \times 10^{15}$ , $8 \times 10^{54}$ , $8 \times 10^{16}$ , $8 \times 10^{63}$ .

See Solution

Problem 56118

Find the value closest to 9 among these: $\sqrt{10}$ , $\sqrt{83}$ , $\sqrt{63}$ , $\sqrt{99}$ .

See Solution

Problem 56119

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

See Solution

Problem 56120

Determine the domain and range of the function $h(x)=\frac{1}{\sqrt[4]{x^{2}-5 x}}$ .

See Solution

Problem 56121

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide ( $NO_2$ ).

See Solution

Problem 56122

Rewrite the statement: If a polygon has four sides, then it is a quadrilateral. Find its converse, inverse, and contrapositive.

See Solution

Problem 56123

Estimate the area under $f(x)$ from $x=0$ to $x=8$ using 4 rectangles and left endpoints. Calculate $L_{4}$ .

See Solution

Problem 56124

Define the recursive formula for the sequence 7, 15, 23, 31: $a_n = a_{n-1} + 8$ , $a_1 = 7$ .

See Solution

Problem 56125

How many times larger were early transistors ( $1 \times 10^{4}$ micrometers) compared to today's transistors ( $< 1 \times 10^{-2}$ micrometer)? $10^{6}$ $10^{2}$ $10^{-6}$ $10^{-2}$

See Solution

Problem 56126

Calculate the mean absolute deviation of the race car speeds: 95, 94, 99, 101, 101, 92.

See Solution

Problem 56127

Calculate the mean absolute deviation of these basketball player heights: 65, 62, 58, 63.

See Solution

Problem 56128

Which substance has the greatest temperature increase when the same energy is added? Explain using specific heat values.

See Solution

Problem 56129

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in $4.61 \times 10^{22}$ BCl₃ molecules.

See Solution

Problem 56130

Find the recursive definition of the sequence 4, 9, 14, 19. Options: 1) $a_n = 3a_{n-1}, a_1 = 5$ 2) $a_n = a_{n-1} + 9, a_1 = 4$ 3) $a_n = a_{n-1} + 5, a_1 = 4$

See Solution

Problem 56131

Given the cereal calories: 100, 125, 125, 175, 175, 210. Which brand won't change the interquartile range? A. 90 B. 100 C. 145 D. 225

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Problem 56132

A town with 3,400 people grows by 650 yearly. Which equation finds years $y$ for the population to triple? A. $3,400 y+650=3(650)$ B. $3,400+650 y=3(3,400)$ C. $y=(3,400+650)^{3}$ D. $3(3,400)=650 y$

See Solution

Problem 56133

What represents the average speed of a cat at point $A$ on a graph: $x$ -coordinate, $y$ -coordinate, slope, or distance?

See Solution

Problem 56134

Find the break-even point where $C(x)=60x+2500$ equals revenue from selling $x$ bats at \$80 each.

See Solution

Problem 56135

1. Express $f - 35 - 5$ .
2. Express $\frac{2}{f} - 6$ .

See Solution

Problem 56136

Determine the domain and range of the function $f(u)=\frac{u+1}{1+\frac{1}{u+1}}$ .

See Solution

Problem 56137

Find the next number in the sequence: $7, 18, 29, \ldots$

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Problem 56138

A company sells bats for \$80 each. With fixed costs of \$2500 and variable costs of \$60 per bat, how many bats for \$10,000 profit?

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Problem 56139

Which statement best reflects the relationship between correlation and causation? A, B, C, or D?

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Problem 56140

Find $m \angle T U 1$ if $m \angle T U 1=2x+43$ , $m \angle I U V=135^\circ$ , and $m \angle T U V=x+178$ .

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Problem 56141

Find the equation for math grade $y$ based on days absent $x$ : A. $y=\frac{2}{5} x+90$ , B. $y=-\frac{2}{5} x+90$ , C. $y=\frac{5}{2} x+90$ , D. $y=-\frac{5}{2} x+90$ .

See Solution

Problem 56142

Solve $|2-2x|=14$ for $x$ . Options: a. $\{8,-6\}$ b. $\{8,-8\}$ c. $\{6,-8\}$ d. $\{6,-6\}$

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Problem 56143

Find the total energy in kilocalories from 3 cups of whole milk with 16.58 g carbs, Time g fat, and 1.89 g protein.

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Problem 56144

What value of $r$ indicates one variable "explains" less than $50\%$ of the other? Options: A. $r=-1$ , B. $r=-0.9$ , C. $r=-0.7$ , D. $r=0.9$ .

See Solution

Problem 56145

A dairy farm produced $w$ kg of cheese, $39 + w$ kg of yoghurt, and $4w$ kg of ice cream. Find $w$ such that $4w > 39 + w$ .

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Problem 56146

Find the total energy in kilocalories of 3 cups of whole milk with 16.58 g carbs, 7.09 g fat, and 1.89 g protein per cup.

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Problem 56147

Find the formula for the arithmetic sequence: $-1, \frac{1}{3}, \frac{5}{3}, 3, \frac{13}{3}, \frac{17}{3}, \ldots$

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Problem 56148

For a coffee mug business, answer these:
a. How do revenue and total cost relate to unit production? b. What does the point $(0,4000)$ on the total cost line signify? c. Find the intersection point's coordinates and its meaning. d. Write linear equations for revenue and total cost, and verify the intersection point. e. Calculate profit for selling 1,000 units: revenue minus total cost.
Also, create a linear equation using points $(500,600)$ and $(0,6000)$ .

See Solution

Problem 56149

Find the decimal value of $x$ in the equation: $10 x - 31 = 67$ .

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Problem 56150

Find the possible actual area measurements of a 20 cm by 5 cm plate. Options: A. $90 \mathrm{~cm}^{2}$ , B. $110 \mathrm{~cm}^{2}$ , C. $114 \mathrm{~cm}^{2}$ , D. $119 \mathrm{~cm}^{2}$ , E. $122 \mathrm{~cm}^{2}$ .

See Solution

Problem 56151

Find the $10^{\text{th}}$ term of the sequence given by $t_{i}=\frac{3}{2}(i^{8}-1)$ .

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Problem 56152

Solve the equation $2(x-3)=8$ .

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Problem 56153

For the function $f(x)=3 x^{2}-4$ , which domain restriction makes $f(x)$ invertible? Select from $(0, \infty)$ , $(-1, \infty)$ , or $(-4, \infty)$ . What is $f^{-1}$ ?

See Solution

Problem 56154

Find the $10^{\text{th}}$ term of the arithmetic sequence given by $t_{i}=\frac{3}{2}(i-1)$ .

See Solution

Problem 56155

If Joe invests \$12,000 at 8% interest for 14 years, how much will he have?

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Problem 56156

Find the inverse function $f^{-1}(x)$ from the options: A. $\sqrt{\frac{x-4}{3}}$ , B. $\frac{\sqrt{x+4}}{3}$ , C. $\frac{\sqrt{x-4}}{3}$ , D. $\sqrt{\frac{x+4}{3}}$ .

See Solution

Problem 56157

Complete the table using $A = P (1 + \frac{r}{n})^{nt}$ for total amount and interest earned. Initial: \$25,000, 20 years.

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Problem 56158

Calculate the volume in $\mathrm{dL}$ of 3.01 kg of iron with a density of $7.86 \mathrm{~g/cm}^{3}$ . Convert density to $\mathrm{kg/dL}$ .

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Problem 56159

Which function grows faster after $x=4$ : $f(x)=4^{x}$ or $g(x)=x^{4}$ ? A. $f$ B. $g$ C. same rate D. $f$ then $g$ .

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Problem 56160

Harriet bought $t$ m of fabric; James bought $8t$ m. After returning $63$ m, he had more than Harriet. Write and solve the inequality.

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Problem 56161

Find the formula for the $n$ th term of the sequence: 2, 5, 8, 11, ... Options: A. $a_{n}=3 n+2$ , B. $a_{n}=2 n-1$ , C. $a_{n}=2 n-2$ , D. $a_{n}=3 n-1$ .

See Solution

Problem 56162

Which truck should Jennifer buy based on towing capacity and vehicle weight? Compare:
Truck A: $3,500$ lbs, $2,800$ lbs Truck B: $3,600$ lbs, $4,200$ lbs Truck C: $4,800$ lbs, $3,600$ lbs Truck D: $4,800$ lbs, $4,200$ lbs

See Solution

Problem 56163

Find the average rate of change of $f(x)=x^{2}+1$ from $x=-10$ to $x=10$ . A. 0 B. 0.05 C. 5.05 D. 101

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Problem 56164

Graph the equations $y=-\frac{1}{3} x+3$ and $y=-\frac{1}{3} x+4$ . Find $(x, y)$ or state DNE or infinity.

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Problem 56165

Convert $-27.9^{\circ} \mathrm{F}$ to degrees Celsius. Include the correct unit symbol in your answer.

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Problem 56166

Find the solutions for $x^2 + 3.5x - 2 = 0$ . Options: A. 0.5 B. -0.5 C. 4 D. -4 E. $\frac{-7+\sqrt{17}}{2}$ F. $\frac{-7-\sqrt{17}}{2}$ G. $\frac{7+\sqrt{17}}{2}$ H. $\frac{7-\sqrt{17}}{2}$ .

See Solution

Problem 56167

Calculate the calories needed to heat 35.0 g of iron from $25^{\circ} \mathrm{C}$ to $35^{\circ} \mathrm{C}$ with specific heat $0.108 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C}$ .

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Problem 56168

Select the true equalities for the function $g(x)=x^{2}+3x-1$ : A. $g(-4)=3$ , B. $g(0)=2$ , C. $g(1)=3$ , D. $g(2)=9$ , E. $g(3)=14$ .

See Solution

Problem 56169

Find the domain restriction for $f(x)=3x^{2}-4$ to make it invertible, and identify $f^{-1}(x)$ . Options: A, B, C, D.

See Solution

Problem 56170

Convert the fraction $\frac{5}{6}$ to a mixed number.

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Problem 56171

Find $X$ , $Y$ , $Z$ , and $YZ$ given $XY=11$ , $YZ=4c$ , and $XZ=83$ with $Y$ between $X$ and $Z$ .

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Problem 56172

Find the probability that a random card (2, 3, or 4) is even or greater than 2. Give your answer as a percentage.

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Problem 56173

Is the path for visiting 8 cities an Euler circuit (EUL) or a Hamiltonian circuit (HAM)?

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Problem 56174

Find an Euler circuit using Fleury's Algorithm for edges: FG, FE, FI, FJ, ED, EH, EI, DF, DH, DI, JG, IH, GJ. List the vertices visited.

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Problem 56175

Find the probability of landing on a factor of 45 first, then a prime number, after spinning a spinner twice. Simplify your answer.

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Problem 56176

Convert -2.17 ${ }^{\circ} \mathrm{C}$ to degrees Fahrenheit. Use the formula: $F = \frac{9}{5}C + 32$ .

See Solution

Problem 56177

How many atoms are in a $6.21 \mu \mathrm{mol}$ helium sample? Answer with correct sig figs using ${ }^{*} 10^{\wedge}$ .

See Solution

Problem 56178

What is the probability of landing on a number greater than 6 or less than 7 when spinning a spinner with 5, 6, and 7?

See Solution

Problem 56179

Find the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Use ${ }^{* 10^{\wedge}}$ for scientific notation.

See Solution

Problem 56180

What is the percentage probability $P$ that a roll of a 6-sided die is not even?

See Solution

Problem 56181

Calculate the moles in $1.10^{*} 10^{\wedge} 27$ gold atoms. Provide your answer in scientific notation with correct sig figs.

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Problem 56182

Calculate the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Provide your answer in scientific notation.

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Problem 56183

Calculate the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Provide your answer in 4 sig figs in scientific notation.

See Solution

Problem 56184

Find the probability of drawing an even or prime card from a 52-card deck. Express your answer as a simplified fraction.

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Problem 56185

Find real solutions using the square root property for: $3 n^{2}+240=0$ and $4 s^{2}-288=0$ . Provide exact answers.

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Problem 56186

Deposit \$2500 at 3% monthly interest. What is the total after 15 years? Options: \$3625.00, 3894.92, \$3749.37, \$3918.58.

See Solution

Problem 56187

Find the probability that a spinner with numbers 4, 5, 6, 7 lands on 6 or a divisor of 12. Express as a percentage.

See Solution

Problem 56188

Find the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Answer in 4 sig figs and scientific notation: ${ }^{\star} 10^{\wedge}$ .

See Solution

Problem 56189

A car has 4 wheels. How many wheels are there for 10 cars? Calculate: $4 \times 10 = ?$

See Solution

Problem 56190

Solve for $x$ using the square root property: $3 x^{2}+73=94$ . Enter answers as a list, e.g., $4, -\frac{2}{3}$ .

See Solution

Problem 56191

What is the mass in grams of a $55.86 \mathrm{~mol}$ sample of iron? Provide your answer to 4 significant figures.

See Solution

Problem 56192

Solve the equation $p^{2}-11p+28=0$ . Enter your integer or fraction answers separated by commas.

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Problem 56193

Find the number of nanomoles ( $\mathrm{nmol}$ ) in a 22.5 microgram ( $\mu \mathrm{g}$ ) sample of gold. Answer to 3 sig figs.

See Solution

Problem 56194

How much will a \$10,000 deposit grow in 25 years at 4% monthly compounded interest? Options: \$20000.00, \$27137.65, \$26650.84.

See Solution

Problem 56195

Westway pays Suzie Chan \$3,070 weekly. Calculate her yearly Social Security and Medicare deductions, then state and federal unemployment taxes.

See Solution

Problem 56196

Solve the equation: $z^{2}=19 z-84$ . Find $z=$ . If multiple solutions, separate with a comma.

See Solution

Problem 56197

Reduce the matrix to row echelon form:
$\begin{bmatrix} 1 & -9 & 0 & -1 & 0 & -8 \\ 0 & 1 & 0 & 0 & -2 & 3 \\ 0 & 0 & 0 & 1 & 7 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{bmatrix}$

See Solution

Problem 56198

Which has more mass, $1 \mathrm{~mol}$ of He or $1 \mathrm{~mol}$ of Ar? Options: He, Ar, same, undetermined.

See Solution

Problem 56199

What initial deposit is required to reach \ $5,000 in 14 years with$ 8\%$ simple interest?

See Solution

Problem 56200

How much should you deposit today to have \$1250 in 3 years at 3% interest compounded monthly?

See Solution

1 ...559 560 561 562 563 564 565 ...661

Math

Problem 56101

Calculate the square of 9 using multiplication tables. What is 929^{2}92? Options: 36, 18, 512, 81

Problem 56102

Calculate the Mean Absolute Deviation (MAD) for the numbers: 12, 15, 13, 23, 19, 19, 10.

Problem 56103

Evaluate the integral ∫14xf′(x)dx\int_{1}^{4} x f^{\prime}(x) d x∫14​xf′(x)dx given that the area under y=f(x)y=f(x)y=f(x) from x=1x=1x=1 to x=4x=4x=4 is 9.

Problem 56104

Calculate the following divisions of fractions: 1. 35÷110\frac{3}{5} \div \frac{1}{10}53​÷101​ 2. 12÷14\frac{1}{2} \div \frac{1}{4}21​÷41​ 3. 25÷37\frac{2}{5} \div \frac{3}{7}52​÷73​

Problem 56105

A 28-inch diameter wheel on a tractor travels 5 miles. How many full revolutions does it make? (Round down.)

Problem 56106

Calculate the square of 6 using multiplication tables. What is 626^{2}62? Options: 16, 64, 12, 36

Problem 56107

A moped slows down from 31ft/s31 \mathrm{ft} / \mathrm{s}31ft/s at 3ft/s23 \mathrm{ft} / \mathrm{s}^{2}3ft/s2. How far does it travel before stopping? Provide a numerical answer.

Problem 56108

Calculate the value of 3122\frac{31^{2}}{2}2312​.

Problem 56109

Determine the domain and range of the function y=2t−13y = \sqrt[3]{2t - 1}y=32t−1​.

Problem 56110

Tanya and Karla's uniform numbers satisfy t−k=12t - k = 12t−k=12 and 3t+2k=1413t + 2k = 1413t+2k=141. Find the sum t+kt + kt+k.

Problem 56111

Find the solutions for the system: 3x−4y=63x - 4y = 63x−4y=6 and −9x+12y=−18-9x + 12y = -18−9x+12y=−18.

Problem 56112

How does the total mechanical energy change as a ball rolls down a frictionless ramp? A. Increases B. Goes to zero C. Stays the same D. Decreases

Problem 56113

A cake costs \9morethanapie.8cakesand14piessoldfor$402.Findthepriceofacakeusing9 more than a pie. 8 cakes and 14 pies sold for \$402. Find the price of a cake using 9morethanapie.8cakesand14piessoldfor$402.Findthepriceofacakeusingc-p=9and and and8c+14p=402$.

Problem 56114

Shanika's lamp is a rectangular prism measuring 14′′14^{\prime \prime}14′′ high, 9∘9^{\circ}9∘ wide, and 3m3^{m}3m long. Find the box dimensions with 1′′1^{\prime \prime}1′′ padding and the box's volume. Show your work.

Problem 56115

Which decimals are rational numbers: terminate, repeat, or both?

Problem 56116

Write the domain of the function as interval notation: (1,13] (1, 13] (1,13].

Problem 56117

Which expression is greater: 4×1094 \times 10^{9}4×109 or 2,000,0002,000,0002,000,000? Choose from 8×10158 \times 10^{15}8×1015, 8×10548 \times 10^{54}8×1054, 8×10168 \times 10^{16}8×1016, 8×10638 \times 10^{63}8×1063.

Problem 56118

Find the value closest to 9 among these: 10\sqrt{10}10​, 83\sqrt{83}83​, 63\sqrt{63}63​, 99\sqrt{99}99​.

Problem 56119

Order the fractions of students moving up to Level 2: 23,712,1724,34\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}32​,127​,2417​,43​.

Problem 56120

Determine the domain and range of the function h(x)=1x2−5x4h(x)=\frac{1}{\sqrt[4]{x^{2}-5 x}}h(x)=4x2−5x​1​.

Problem 56121

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide (NO2NO_2NO2​).

Problem 56122

Rewrite the statement: If a polygon has four sides, then it is a quadrilateral. Find its converse, inverse, and contrapositive.

Problem 56123

Estimate the area under f(x)f(x)f(x) from x=0x=0x=0 to x=8x=8x=8 using 4 rectangles and left endpoints. Calculate L4L_{4}L4​.

Problem 56124

Define the recursive formula for the sequence 7, 15, 23, 31: an=an−1+8a_n = a_{n-1} + 8an​=an−1​+8, a1=7a_1 = 7a1​=7.

Problem 56125

How many times larger were early transistors (1×1041 \times 10^{4}1×104 micrometers) compared to today's transistors (<1×10−2< 1 \times 10^{-2}<1×10−2 micrometer)? 10610^{6}106 10210^{2}102 10−610^{-6}10−6 10−210^{-2}10−2

Problem 56126

Calculate the mean absolute deviation of the race car speeds: 95, 94, 99, 101, 101, 92.

Problem 56127

Calculate the mean absolute deviation of these basketball player heights: 65, 62, 58, 63.

Problem 56128

Which substance has the greatest temperature increase when the same energy is added? Explain using specific heat values.

Problem 56129

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in 4.61×10224.61 \times 10^{22}4.61×1022 BCl₃ molecules.

Problem 56130

Find the recursive definition of the sequence 4, 9, 14, 19. Options: 1) an=3an−1,a1=5a_n = 3a_{n-1}, a_1 = 5an​=3an−1​,a1​=5 2) an=an−1+9,a1=4a_n = a_{n-1} + 9, a_1 = 4an​=an−1​+9,a1​=4 3) an=an−1+5,a1=4a_n = a_{n-1} + 5, a_1 = 4an​=an−1​+5,a1​=4

Problem 56131

Given the cereal calories: 100, 125, 125, 175, 175, 210. Which brand won't change the interquartile range? A. 90 B. 100 C. 145 D. 225

Problem 56132

Problem 56133

What represents the average speed of a cat at point AAA on a graph: xxx-coordinate, yyy-coordinate, slope, or distance?

Problem 56134

Find the break-even point where C(x)=60x+2500C(x)=60x+2500C(x)=60x+2500 equals revenue from selling xxx bats at \$80 each.

Problem 56135

1. Express f−35−5f - 35 - 5f−35−5.2. Express 2f−6\frac{2}{f} - 6f2​−6.

Problem 56136

Determine the domain and range of the function f(u)=u+11+1u+1f(u)=\frac{u+1}{1+\frac{1}{u+1}}f(u)=1+u+11​u+1​.

Problem 56137

Find the next number in the sequence: 7,18,29,…7, 18, 29, \ldots7,18,29,…

Problem 56138

A company sells bats for \$80 each. With fixed costs of \$2500 and variable costs of \$60 per bat, how many bats for \$10,000 profit?

Problem 56139

Which statement best reflects the relationship between correlation and causation? A, B, C, or D?

Problem 56140

Find m∠TU1m \angle T U 1m∠TU1 if m∠TU1=2x+43m \angle T U 1=2x+43m∠TU1=2x+43, m∠IUV=135∘m \angle I U V=135^\circm∠IUV=135∘, and m∠TUV=x+178m \angle T U V=x+178m∠TUV=x+178.

Calculate the square of 9 using multiplication tables. What is $9^{2}$ ? Options: 36, 18, 512, 81

Evaluate the integral $\int_{1}^{4} x f^{\prime}(x) d x$ given that the area under $y=f(x)$ from $x=1$ to $x=4$ is 9.

Calculate the following divisions of fractions:
1. $\frac{3}{5} \div \frac{1}{10}$
2. $\frac{1}{2} \div \frac{1}{4}$
3. $\frac{2}{5} \div \frac{3}{7}$

Calculate the square of 6 using multiplication tables. What is $6^{2}$ ? Options: 16, 64, 12, 36

A moped slows down from $31 \mathrm{ft} / \mathrm{s}$ at $3 \mathrm{ft} / \mathrm{s}^{2}$ . How far does it travel before stopping? Provide a numerical answer.

Calculate the value of $\frac{31^{2}}{2}$ .

Determine the domain and range of the function $y = \sqrt[3]{2t - 1}$ .

Tanya and Karla's uniform numbers satisfy $t - k = 12$ and $3t + 2k = 141$ . Find the sum $t + k$ .

Find the solutions for the system: $3x - 4y = 6$ and $-9x + 12y = -18$ .

A cake costs \ $9 more than a pie. 8 cakes and 14 pies sold for \$402. Find the price of a cake using$ c-p=9 $and$ 8c+14p=402$.

Shanika's lamp is a rectangular prism measuring $14^{\prime \prime}$ high, $9^{\circ}$ wide, and $3^{m}$ long. Find the box dimensions with $1^{\prime \prime}$ padding and the box's volume. Show your work.

Write the domain of the function as interval notation: $(1, 13]$ .

Which expression is greater: $4 \times 10^{9}$ or $2,000,000$ ? Choose from $8 \times 10^{15}$ , $8 \times 10^{54}$ , $8 \times 10^{16}$ , $8 \times 10^{63}$ .

Find the value closest to 9 among these: $\sqrt{10}$ , $\sqrt{83}$ , $\sqrt{63}$ , $\sqrt{99}$ .

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

Determine the domain and range of the function $h(x)=\frac{1}{\sqrt[4]{x^{2}-5 x}}$ .

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide ( $NO_2$ ).

Estimate the area under $f(x)$ from $x=0$ to $x=8$ using 4 rectangles and left endpoints. Calculate $L_{4}$ .

Define the recursive formula for the sequence 7, 15, 23, 31: $a_n = a_{n-1} + 8$ , $a_1 = 7$ .

How many times larger were early transistors ( $1 \times 10^{4}$ micrometers) compared to today's transistors ( $< 1 \times 10^{-2}$ micrometer)? $10^{6}$ $10^{2}$ $10^{-6}$ $10^{-2}$

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in $4.61 \times 10^{22}$ BCl₃ molecules.

Find the recursive definition of the sequence 4, 9, 14, 19. Options: 1) $a_n = 3a_{n-1}, a_1 = 5$ 2) $a_n = a_{n-1} + 9, a_1 = 4$ 3) $a_n = a_{n-1} + 5, a_1 = 4$

What represents the average speed of a cat at point $A$ on a graph: $x$ -coordinate, $y$ -coordinate, slope, or distance?

Find the break-even point where $C(x)=60x+2500$ equals revenue from selling $x$ bats at \$80 each.

1. Express $f - 35 - 5$ .
2. Express $\frac{2}{f} - 6$ .

Determine the domain and range of the function $f(u)=\frac{u+1}{1+\frac{1}{u+1}}$ .

Find the next number in the sequence: $7, 18, 29, \ldots$

Find $m \angle T U 1$ if $m \angle T U 1=2x+43$ , $m \angle I U V=135^\circ$ , and $m \angle T U V=x+178$ .

Find the equation for math grade $y$ based on days absent $x$ : A. $y=\frac{2}{5} x+90$ , B. $y=-\frac{2}{5} x+90$ , C. $y=\frac{5}{2} x+90$ , D. $y=-\frac{5}{2} x+90$ .

Solve $|2-2x|=14$ for $x$ . Options: a. $\{8,-6\}$ b. $\{8,-8\}$ c. $\{6,-8\}$ d. $\{6,-6\}$

What value of $r$ indicates one variable "explains" less than $50\%$ of the other? Options: A. $r=-1$ , B. $r=-0.9$ , C. $r=-0.7$ , D. $r=0.9$ .

A dairy farm produced $w$ kg of cheese, $39 + w$ kg of yoghurt, and $4w$ kg of ice cream. Find $w$ such that $4w > 39 + w$ .

Find the formula for the arithmetic sequence: $-1, \frac{1}{3}, \frac{5}{3}, 3, \frac{13}{3}, \frac{17}{3}, \ldots$

Find the decimal value of $x$ in the equation: $10 x - 31 = 67$ .

Find the possible actual area measurements of a 20 cm by 5 cm plate. Options: A. $90 \mathrm{~cm}^{2}$ , B. $110 \mathrm{~cm}^{2}$ , C. $114 \mathrm{~cm}^{2}$ , D. $119 \mathrm{~cm}^{2}$ , E. $122 \mathrm{~cm}^{2}$ .

Find the $10^{\text{th}}$ term of the sequence given by $t_{i}=\frac{3}{2}(i^{8}-1)$ .

Solve the equation $2(x-3)=8$ .

For the function $f(x)=3 x^{2}-4$ , which domain restriction makes $f(x)$ invertible? Select from $(0, \infty)$ , $(-1, \infty)$ , or $(-4, \infty)$ . What is $f^{-1}$ ?

Find the $10^{\text{th}}$ term of the arithmetic sequence given by $t_{i}=\frac{3}{2}(i-1)$ .

Find the inverse function $f^{-1}(x)$ from the options: A. $\sqrt{\frac{x-4}{3}}$ , B. $\frac{\sqrt{x+4}}{3}$ , C. $\frac{\sqrt{x-4}}{3}$ , D. $\sqrt{\frac{x+4}{3}}$ .

Complete the table using $A = P (1 + \frac{r}{n})^{nt}$ for total amount and interest earned. Initial: \$25,000, 20 years.

Calculate the volume in $\mathrm{dL}$ of 3.01 kg of iron with a density of $7.86 \mathrm{~g/cm}^{3}$ . Convert density to $\mathrm{kg/dL}$ .

Which function grows faster after $x=4$ : $f(x)=4^{x}$ or $g(x)=x^{4}$ ? A. $f$ B. $g$ C. same rate D. $f$ then $g$ .

Harriet bought $t$ m of fabric; James bought $8t$ m. After returning $63$ m, he had more than Harriet. Write and solve the inequality.

Find the formula for the $n$ th term of the sequence: 2, 5, 8, 11, ... Options: A. $a_{n}=3 n+2$ , B. $a_{n}=2 n-1$ , C. $a_{n}=2 n-2$ , D. $a_{n}=3 n-1$ .

Which truck should Jennifer buy based on towing capacity and vehicle weight? Compare:
Truck A: $3,500$ lbs, $2,800$ lbs Truck B: $3,600$ lbs, $4,200$ lbs Truck C: $4,800$ lbs, $3,600$ lbs Truck D: $4,800$ lbs, $4,200$ lbs

Find the average rate of change of $f(x)=x^{2}+1$ from $x=-10$ to $x=10$ . A. 0 B. 0.05 C. 5.05 D. 101

Graph the equations $y=-\frac{1}{3} x+3$ and $y=-\frac{1}{3} x+4$ . Find $(x, y)$ or state DNE or infinity.

Convert $-27.9^{\circ} \mathrm{F}$ to degrees Celsius. Include the correct unit symbol in your answer.

Find the solutions for $x^2 + 3.5x - 2 = 0$ . Options: A. 0.5 B. -0.5 C. 4 D. -4 E. $\frac{-7+\sqrt{17}}{2}$ F. $\frac{-7-\sqrt{17}}{2}$ G. $\frac{7+\sqrt{17}}{2}$ H. $\frac{7-\sqrt{17}}{2}$ .

Calculate the calories needed to heat 35.0 g of iron from $25^{\circ} \mathrm{C}$ to $35^{\circ} \mathrm{C}$ with specific heat $0.108 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C}$ .

Select the true equalities for the function $g(x)=x^{2}+3x-1$ : A. $g(-4)=3$ , B. $g(0)=2$ , C. $g(1)=3$ , D. $g(2)=9$ , E. $g(3)=14$ .

Find the domain restriction for $f(x)=3x^{2}-4$ to make it invertible, and identify $f^{-1}(x)$ . Options: A, B, C, D.

Convert the fraction $\frac{5}{6}$ to a mixed number.

Find $X$ , $Y$ , $Z$ , and $YZ$ given $XY=11$ , $YZ=4c$ , and $XZ=83$ with $Y$ between $X$ and $Z$ .