Model

Problem 3101

A hot dog stand sells hot dogs for $\$ 3$ each. a. Write a linear equation to represent the total income, I, the stand makes based on the number of hot dogs sold, $h$ . b. What is the income if 150 hotdogs are sold? c. How many hotdogs to earn $\$ 2200$ .

See Solution

Problem 3102

Jse the parent function $f(x)=|x|$ to graph $g(x)=-|x-4|$ .

See Solution

Problem 3103

9) Perform the following transformations of $h(x)=\frac{1}{x^{2}}$ (write your resulting equation in every step below): a) Shift $h(x)$ up 3 units. b) Shift the result of a) left 2 units. c) Reflect the result of b) about the $x$ -axis. d) Reflect the result of c) about the $y$ -axis. 10) Perform the transformations of Problem 9 applied to the functions $f(x)=e^{2 x}$ and $g(x)=\ln x$ . Sketch the resulting graphs.

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Problem 3104

$90 \%$ of the stores at a shopping mall sell clothing. If 63 of the stores sell clothing, how many total stores are at the mall?
Pick the model that represents the problem. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline $0 \%$ & $10 \%$ & $20 \%$ & $30 \%$ & $40 \%$ & $50 \%$ & $60 \%$ & $70 \%$ & $80 \%$ & $90 \%$ & $100 \%$ \\ \hline & & & & & & & & & & & & \\ \hline \\ \hline 0 & & & & & & & & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline $0 \%$ & $10 \%$ & $20 \%$ & $30 \%$ & $40 \%$ & $50 \%$ & $60 \%$ & $70 \%$ & $80 \%$ & $90 \%$ & $100 \%$ \\ \hline & & & & & & & & & & & & \\ \hline \\ \hline 0 & & & & & & & & & & & & \\ \hline \end{tabular}
How many total stores are at the mall? $\square$ stores

See Solution

Problem 3105

Graph the line $y=-1$ .

See Solution

Problem 3106

Read the problem. Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use? Pick the model that represents the problem.
What percent of the water balloons did Jamal use? $\square$ \% Submit

See Solution

Problem 3107

10. A movie theater offers a reward program that charges a yearly membership fee and a discounted rate per movie ticket. The total cost for a reward program member to see 5 movies is $\$ 40$ and the total cost for 12 movies is $\$ 75$ . Assume the relationship is linear. Write the equation of the function in the form $y=m x+b$ , where $x$ represents the number of movies and $y$ represents the total cost.

See Solution

Problem 3108

Express the following set in set-builder, notation. $B=\{1,2,3,4,5,6,7,8\}$

See Solution

Problem 3109

Last month, Ed spent $\$ 50$ in all. He spent $40 \%$ of the money at the movies. How much money did Ed spend at the movies?
Pick the model that represents the problem.
How much money did Ed spend at the movies? \$

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Problem 3110

Nrite the complex number in trigonometric form $r(\cos \theta+i \boldsymbol{\operatorname { s i n }} \theta)$ , with $\theta$ in the interval $\left[0^{\circ}, 360^{\circ}\right)$ . $-3+3 i$ $-3+3 i=$ $\square$ $\square$ (cos ${ }^{\circ}+i \sin$ $\square$ ${ }^{\circ}$ ) (Type the value for $r$ as an exact answer, using radicals as needed. Type the value for $\theta$ as an integ nearest tenth as needed.)

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Problem 3111

12. Model Real Life About how much
7 more does it cost each month for the science subscription box than the craft subscription box? \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Subscription Boxes } \\ \hline Type & Price \\ \hline Craft & $\$ 347.40$ for 12 months \\ \hline Science & $\$ 39.90$ each month \\ \hline \end{tabular} about \\qquad$

See Solution

Problem 3112

Let $F(x)=\int_{0}^{x} \sin \left(7 t^{2}\right) d t$ . Find the MacLaurin polynomial of degree 7 for $F(x)$ .
Use this polynomial to estimate the value of $\int_{0}^{0.73} \sin \left(7 x^{2}\right) d x$ . $\square$

See Solution

Problem 3113

2. Write an equation for the line through $(5,-2)$ and $(-1,3)$ using point-slope form, then simplify into slope-intercept form.

See Solution

Problem 3114

3. Approximate $\int_{1}^{9} x^{2}+3 x d x$ using the midpoint rule with $n=4$ . (Ans: 360)

See Solution

Problem 3115

Graph the following equation: $y=x+4$
Line

See Solution

Problem 3116

Algebra II
3. Write an equation for the line perpendicular to $y=4 x-3$ through the point $(2,0)$ using point-slope form, then simplify into standard form. $y=4 x-3$

See Solution

Problem 3117

Write a system of linear inequalities represented by the graph.
Inequality 1 : $\square$
Inequality 2: $\square$

See Solution

Problem 3118

31 (2 points)
Question B1: Draw two non-isomorphic trees with 3 vertices with degree 3,2 vertices with degree 2, and 5 vertices of degree 1 (and no other vertices).

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Problem 3119

Question 1 of 12, Step 1 of 2 Correct
The price of a meal plus a $12 \%$ delivery charge comes to a total cost of $\$ 16.80$ . What was the price of the meal?
Step 1 of 2: Describe the above situation as a linear equation using " $x$ " or " $y$ " as variable names to describe the unknowns.

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Problem 3120

9. Graphically determine the hydrogen ion concentration if the pH of a solution is 3.7.

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Problem 3121

The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. $C(x)=24,000+38 x \text { and } R(x)=40 x$ a. Use the formulas shown to write the company's profit function, $P$ , from producing and selling x radios. b. Find the company's profit if 20,000 radios are produced and sold. a. The company's profit function is $\mathrm{P}(\mathrm{x})=$ : $\square$ (Simplify your answer.)

See Solution

Problem 3122

Graph the following equation: $y=4 x+3$
Line

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Problem 3123

8. A marine biologist measures the presence of a pollutant in an ocean and concludes that the concentration, $C$ , in parts per million ( ppm ) as a function of the population, $P$ , of the neighbouring town is given by $C(P)=1.38 P+97.4$ . The population of the town, in thousands, can be modelled by $P(t)=12(1.078)^{t}$ where $t$ is the time in years since the first measurement. a. Determine an equation, in simplified form, for the concentration of pollutant as a function of the number of years since the first measurement. [ 3 marks] b. What reasonable restrictions should be placed on the function's domain and range? [2 marks] c. The first measurement was taken in January 2018. Adapt the formula in part (a) to create an equation for the concentration as a function of the number of months since January 2020. [3 marks] d. In which year will the concentration reach 180 ppm? [ 3 marks]

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Problem 3124

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressuretaker beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury ( mmHg ), for a sample The following table presents the results. Use a TI-84 calculator to answer the following. \begin{tabular}{cccc} \hline Systolic & Diastolic & Systolic & Diastolic \\ \hline 112 & 75 & 157 & 103 \\ 107 & 71 & 154 & 94 \\ 110 & 74 & 134 & 87 \\ 108 & 69 & 115 & 83 \\ 105 & 66 & 113 & 77 \\ \hline \end{tabular}
Based on results published in the Journal of Human Hypertension Send data to Excel
Part: $0 / 4$
Part 1 of 4 Compute the least-squares regression line for predicting the diastolic pressure from the systolic pressure. $R$ slope and $y$ -intercept to at least four decimal places.
Reqression line equation: $\hat{y}=$ $\square$

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Problem 3125

Alex needs to represent this statement as an inequality. Half of a number is more than one and one-third. Drag and drop a symbol to correctly complete the inequality.

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Problem 3126

Write the compound statement "I work hard or I do not get a raise" in symbolic form using $p$ and $q$ .

See Solution

Problem 3127

Find a lake that is 14,938 sq miles larger than Lake Ontario. Create a model and write a number sentence to solve it.

See Solution

Problem 3128

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

See Solution

Problem 3129

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

See Solution

Problem 3130

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

See Solution

Problem 3131

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

See Solution

Problem 3132

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

See Solution

Problem 3133

Find how many feet deeper the Mariana Trench ( $36,201$ ft) is than the Puerto Rico Trench ( $27,493$ ft).

See Solution

Problem 3134

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

See Solution

Problem 3135

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: $1,932 + 3,383$ .

See Solution

Problem 3136

Graph the solution for the inequality $-9 \leq x < 4$ .

See Solution

Problem 3137

Estimate the CPI for 2012 and 2014 using a linear model based on values 212.2 (2011) and 237.4 (2016).

See Solution

Problem 3138

Estimate the CPI for 2013 and 2015 using the points (11, 223.7) and (16, 238.2) with a linear model.

See Solution

Problem 3139

Georgina has 400 ft of fencing for a 3-sided pen. What dimensions maximize the area?

See Solution

Problem 3140

Georgina has 400 ft of fencing for a pen next to a barn. What dimensions maximize the area of the rectangular pen?

See Solution

Problem 3141

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si inicias a medianoche del 1 de enero de 2000, ¿cuándo será el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

See Solution

Problem 3142

Express the interval $[3, \infty)$ as an inequality and sketch it on a number line.

See Solution

Problem 3143

At 8:00 a.m., bacteria count is recorded. Create a function $f(t)$ for the growth pattern given: $f(0)=8$ , $f(1)=32$ , $f(2)=128$ , $f(3)=512$ .

See Solution

Problem 3144

Write the equation for "The $y$ -value is three increased by the square of the $x$ -value" and choose the correct option.

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Problem 3145

Convert "The $y$ -value is three increased by the square of the $x$ -value" into an equation and graph it.

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Problem 3146

Find the equation of a line parallel to $12 x - 18 y = -36$ that passes through the point $P(-3, -6)$ .

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Problem 3147

Find the equation of the line parallel to $12 x-18 y=-36$ that goes through the point $P(-3,-6)$ .

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Problem 3148

A population of 25,200 is decreasing by $5\%$ annually. What will it be in 10 years? Round to the nearest whole number.

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Problem 3149

A population of 24,800 decreases by $4\%$ yearly. What will it be in 9 years? Round to the nearest whole number.

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Problem 3150

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si cuentas desde el 1 de enero de 2000, ¿cuándo llegarás a un millón y a un billón de latidos? Estima tu frecuencia cardiaca en latidos por minuto, hora y día.

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Problem 3151

Calcula el tiempo para 1000 latidos. Si empiezas a contar a la medianoche del 1 de enero de 2000, ¿cuándo es el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

See Solution

Problem 3152

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? ¿Cuándo contarías el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia.

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Problem 3153

A baby is 20 inches long at birth. Find the percentage of adult height at age 13 using $f(x)=20+47 \log (x+2)$ .

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Problem 3154

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? ¿Cuándo contarías el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca.

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Problem 3155

Graph the set $\{-3,-2,0,3,7\}$ on a number line and locate -3.

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Problem 3156

Graph the set $\{-3,-2,0,3,7\}$ on a number line and mark -3.

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Problem 3157

An item bought for \ $2,475 depreciates to \$15 in 15 years. Find the linear depreciation function$ V(t) $in slope-intercept form.$ $V(t)=$ $

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Problem 3158

Find the linear supply function $p(x)$ for 30 items at \$15, increasing by \$6 leads to 505 more items. Use slope-intercept form.

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Problem 3159

A $10.0 \mu \mathrm{F}$ capacitor discharges through a 1.9 $M \Omega$ resistor. When does current drop to a third of max?

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Problem 3160

A retailer sells sunglasses for \$45 with 50 customers daily. For each \$1.50 price increase, he loses 1 customer.
a) Show revenue $R=(45+x)\left(50-\frac{x}{1.5}\right)$ . b) Find the optimal price for maximum daily revenue and the revenue at that price.

See Solution

Problem 3161

Mariel's cellphone plan costs ₹ 2,500,00 monthly for 240 minutes. Extra minutes cost ₹7.50 each. Find:
a. Monthly cost function. b. Cost for 40 and 20 extra minutes. c. Total cost for 350 minutes.

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Problem 3162

Mariel's cellphone plan costs ₹ 2,500.00 monthly, includes 240 minutes, and charges ₹7.50 for extra minutes.
a. Find the cost function. b. Calculate the cost for 40 extra minutes and 20 extra minutes. c. Determine the cost for 350 total minutes.

See Solution

Problem 3163

Find the inverse of the function $f(x)=3(4 x-1)^{1/3}$ .

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Problem 3164

Five times (2x - 3) - (x + 8) = 13. Find the value of x.

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Problem 3165

Find an equation for the height $h$ in meters based on the step number $n$ . Given: (50, 10), (90, 18), (110, 22).

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Problem 3166

Find an equation for the proportional relationship between $m$ and $n$ given: $m = 3, n = 21$ ; $m = 5, n = 35$ ; $m = 8, n = 56$ .

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Problem 3167

Calculate the total cost for 3 meals at \$8.99, 2 sodas at \$1.50, and 1 tea at \$1.25. Evaluate the expression.

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Problem 3168

Aisha bought 6 notebooks at \$0.39, 2 pencil packs at \$0.79, and a binder at \$1.99. Find the total spent.

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Problem 3169

Identify the algebraic expressions for: a) 4.2 fewer than $12x$ , b) $4.2 - (12 + x)$ , c) $4.2 - 12x$ , d) $4.2 - (12 + x)$ .

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Problem 3170

Find the cubic polynomial $P(x)$ with a double root at $x=4$ , a single root at $x=-1$ , and a $y$ -intercept of $y=-12.8$ .

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Problem 3171

Ruoff sells adult tickets for \$20 and child tickets for \$14. Max capacity is 5,000 seats; revenue must be at least \$75,000. Write inequalities.

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Problem 3172

Elisa's school sells tickets for a talent show: non-students at \$7 and students at \$5. Capacity is 1,200 seats, and they want at least \$6,000. Write the system of inequalities and give one solution.

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Problem 3173

Shanice and Arjun want to plant daylilies ( $6 each) and ivy ($ 4 each) with a budget of $\$ 100$ and a max of 18 plants. Form inequalities.

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Problem 3174

Let $x$ be hours mowing lawns and $y$ be hours at Target. Set up the inequalities:
1. $x + y \leq 22$
2. $10x + 14y \geq 225$
One solution is $x = 10$ , $y = 12$ .

See Solution

Problem 3175

A dog groomer has a budget of \$400 and needs at least 40 shampoo and body wash bottles. Shampoo is \$6 and body wash is \$7. Write the inequalities and give one solution.

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Problem 3176

Estimate the distance a car travels at $100 \mathrm{km/h}$ during your reaction time before braking. Remember to convert!

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Problem 3177

Find the point-slope form of the line with slope $=6$ through $(-4,9)$ and convert it to slope-intercept form.

See Solution

Problem 3178

Find the point-slope and slope-intercept forms of the line through $(-2,0)$ and $(0,6)$ .

See Solution

Problem 3179

Express the interval $(-\infty,-9) \cup(0, \infty)$ using inequalities.

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Problem 3180

Find an equation for the highest and lowest weights a helicopter can lift, given it averages 2,600 lbs with a 1,400 lb variance. $|w+1,400|=2,600$ $|w-1,400|=2,600$ $|w+2,600|=1,400$ $|w-2,600|=1,400$

See Solution

Problem 3181

Select 15 blocks, divide into 5 equal parts, then count 2 of those parts. What is the value of 2 parts?

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Problem 3182

Graph the inequality $y \geq -\frac{3}{4} x$ .

See Solution

Problem 3183

Graph the inequality $y \geq \frac{1}{2} x + 3$ .

See Solution

Problem 3184

Find the price per bushel of corn using the function $p(x)=5+0.03 x+0.06 x^{2}$ for $x=0$ to $x=5$ .

See Solution

Problem 3185

Write the equation for savings $s$ after $m$ months, starting with \$374 and saving \$26 monthly.

See Solution

Problem 3186

Four times a number minus two equals -58. Find the number.
A) Write the equation: $4x - 2 = -58$ . B) Solve for $x$ : $x =$

See Solution

Problem 3187

A cable provider charges \$75 installation and \$39.96/month. A satellite provider has free installation and \$13.32/month. When is total cost equal for both after owning 3 TVs?

See Solution

Problem 3188

A rental car company charges \ $30 plus 20 cents per mile. Model the total cost with$ m$ as miles driven.

See Solution

Problem 3189

Symbolic expression for "Subtract 2 from $x$ and divide by 3": $\frac{x - 2}{3}$ .

See Solution

Problem 3190

Two cyclists, 42 miles apart, meet in 2 hours. One cycles twice as fast. Find the faster cyclist's speed in $\mathrm{mi} / \mathrm{h}$ .

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Problem 3191

Find the symbolic expression for "Subtract 2 from $x$ and divide by $3$ " and its inverse.

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Problem 3192

Find the inverse function $f^{-1}(x)$ for $f(x)=\sqrt[3]{4x}$ . Simplify your answer.

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Problem 3193

Graph the equations: $y=\frac{3}{4} x-2$ and $y=-\frac{3}{4} x-8$ . Use point and line tools to plot.

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Problem 3194

Theodore's bill was \$ 899, with \$ 335 for parts. If labor costs \$ 47/hour, how many hours of labor were needed?
(A) Write an equation using $x$ . (B) Solve for $x$ . Answer: The number of labor hours was

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Problem 3195

Theodore's total bill was \ $899, with \$ 335 for parts. If labor costs \$ 47 per hour, how many hours of labor ($ x$) were needed?

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Problem 3196

Choose between two cell phone plans: Plan 1 at 21 cents/min and Plan 2 at \$29.95 + 9 cents/min. Find when costs equal.
$C_{1} = 0.21t$ $C_{2} = 29.95 + 0.09t$
Find $t$ where $C_{1} = C_{2}$ .

See Solution

Problem 3197

You use $\frac{1}{8}$ of your battery every $\frac{2}{5}$ hour. If you used $\frac{3}{4}$ of your battery, how long did you chat?

See Solution

Problem 3198

Alexei and Lloyd have 160 books. If Alexei has 24 more than Lloyd, find how many books Lloyd has. Let $x$ be Lloyd's books.

See Solution

Problem 3199

The equation $2(x - 4) = 6$ represents the product of two and the difference of $x$ and 4.

See Solution

Problem 3200

Kwame paid \ $12 for a matinee, which is \$3 less than the evening price. Find the evening price$ x $. Equation:$ $x = 12 + 3$ $

See Solution

1 ...29 30 31 32 33 34 35 ...42

Model

Problem 3101

A hot dog stand sells hot dogs for $3\$ 3$3 each. a. Write a linear equation to represent the total income, I, the stand makes based on the number of hot dogs sold, hhh. b. What is the income if 150 hotdogs are sold? c. How many hotdogs to earn $2200\$ 2200$2200.

Problem 3102

Jse the parent function f(x)=∣x∣f(x)=|x|f(x)=∣x∣ to graph g(x)=−∣x−4∣g(x)=-|x-4|g(x)=−∣x−4∣.

Problem 3103

Problem 3104

Problem 3105

Graph the line y=−1y=-1y=−1.

Problem 3106

Read the problem. Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use? Pick the model that represents the problem.What percent of the water balloons did Jamal use? □\square□ \% Submit

Problem 3107

Problem 3108

Express the following set in set-builder, notation. B={1,2,3,4,5,6,7,8}B=\{1,2,3,4,5,6,7,8\}B={1,2,3,4,5,6,7,8}

Problem 3109

Last month, Ed spent $50\$ 50$50 in all. He spent 40%40 \%40% of the money at the movies. How much money did Ed spend at the movies?Pick the model that represents the problem.How much money did Ed spend at the movies? \$

Problem 3110

Problem 3111

Problem 3112

Problem 3113

2. Write an equation for the line through (5,−2)(5,-2)(5,−2) and (−1,3)(-1,3)(−1,3) using point-slope form, then simplify into slope-intercept form.

Problem 3114

3. Approximate ∫19x2+3xdx\int_{1}^{9} x^{2}+3 x d x∫19​x2+3xdx using the midpoint rule with n=4n=4n=4. (Ans: 360)

Problem 3115

Graph the following equation: y=x+4y=x+4y=x+4Line

Problem 3116

Algebra II3. Write an equation for the line perpendicular to y=4x−3y=4 x-3y=4x−3 through the point (2,0)(2,0)(2,0) using point-slope form, then simplify into standard form. y=4x−3y=4 x-3y=4x−3

Problem 3117

Write a system of linear inequalities represented by the graph.Inequality 1 : □\square□Inequality 2: □\square□

Problem 3118

31 (2 points)Question B1: Draw two non-isomorphic trees with 3 vertices with degree 3,2 vertices with degree 2, and 5 vertices of degree 1 (and no other vertices).

Problem 3119

Problem 3120

9. Graphically determine the hydrogen ion concentration if the pH of a solution is 3.7.

Problem 3121

Problem 3122

Graph the following equation: y=4x+3y=4 x+3y=4x+3Line

Problem 3123

Problem 3124

Problem 3125

Alex needs to represent this statement as an inequality. Half of a number is more than one and one-third. Drag and drop a symbol to correctly complete the inequality.

Problem 3126

Write the compound statement "I work hard or I do not get a raise" in symbolic form using ppp and qqq.

Problem 3127

Find a lake that is 14,938 sq miles larger than Lake Ontario. Create a model and write a number sentence to solve it.

Problem 3128

Symbolically express: "It is time to sleep and the job does not pay well" using ppp and qqq.

Problem 3129

Let ppp: This is a kiwi. qqq: This is a fruit. Write "If not ppp, then not qqq" in symbols.

Problem 3130

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use xxx as the variable.

Problem 3131

Let ppp: I work hard, qqq: I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Problem 3132

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using ppp, qqq, and rrr.

Problem 3133

Find how many feet deeper the Mariana Trench (36,20136,20136,201 ft) is than the Puerto Rico Trench (27,49327,49327,493 ft).

Problem 3134

1) Write the expression for 13t\frac{13}{t}t13​, 2) 2x+42x + 42x+4, 3) y−10y - 10y−10.

Problem 3135

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: 1,932+3,3831,932 + 3,3831,932+3,383.

Problem 3136

Graph the solution for the inequality −9≤x<4-9 \leq x < 4−9≤x<4.

Problem 3137

Estimate the CPI for 2012 and 2014 using a linear model based on values 212.2 (2011) and 237.4 (2016).

Problem 3138

Estimate the CPI for 2013 and 2015 using the points (11, 223.7) and (16, 238.2) with a linear model.

Problem 3139

Georgina has 400 ft of fencing for a 3-sided pen. What dimensions maximize the area?

Problem 3140

Georgina has 400 ft of fencing for a pen next to a barn. What dimensions maximize the area of the rectangular pen?

Problem 3141

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si inicias a medianoche del 1 de enero de 2000, ¿cuándo será el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

Problem 3142

Express the interval [3,∞)[3, \infty)[3,∞) as an inequality and sketch it on a number line.

Problem 3143

At 8:00 a.m., bacteria count is recorded. Create a function f(t)f(t)f(t) for the growth pattern given: f(0)=8f(0)=8f(0)=8, f(1)=32f(1)=32f(1)=32, f(2)=128f(2)=128f(2)=128, f(3)=512f(3)=512f(3)=512.

Problem 3144

Write the equation for "The yyy-value is three increased by the square of the xxx-value" and choose the correct option.

Problem 3145

A hot dog stand sells hot dogs for $\$ 3$ each. a. Write a linear equation to represent the total income, I, the stand makes based on the number of hot dogs sold, $h$ . b. What is the income if 150 hotdogs are sold? c. How many hotdogs to earn $\$ 2200$ .

Jse the parent function $f(x)=|x|$ to graph $g(x)=-|x-4|$ .

Graph the line $y=-1$ .

Read the problem. Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use? Pick the model that represents the problem.
What percent of the water balloons did Jamal use? $\square$ \% Submit

Express the following set in set-builder, notation. $B=\{1,2,3,4,5,6,7,8\}$

Last month, Ed spent $\$ 50$ in all. He spent $40 \%$ of the money at the movies. How much money did Ed spend at the movies?
Pick the model that represents the problem.
How much money did Ed spend at the movies? \$

2. Write an equation for the line through $(5,-2)$ and $(-1,3)$ using point-slope form, then simplify into slope-intercept form.

3. Approximate $\int_{1}^{9} x^{2}+3 x d x$ using the midpoint rule with $n=4$ . (Ans: 360)

Graph the following equation: $y=x+4$
Line

Algebra II
3. Write an equation for the line perpendicular to $y=4 x-3$ through the point $(2,0)$ using point-slope form, then simplify into standard form. $y=4 x-3$

Write a system of linear inequalities represented by the graph.
Inequality 1 : $\square$
Inequality 2: $\square$

31 (2 points)
Question B1: Draw two non-isomorphic trees with 3 vertices with degree 3,2 vertices with degree 2, and 5 vertices of degree 1 (and no other vertices).

Graph the following equation: $y=4 x+3$
Line

Write the compound statement "I work hard or I do not get a raise" in symbolic form using $p$ and $q$ .

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

Find how many feet deeper the Mariana Trench ( $36,201$ ft) is than the Puerto Rico Trench ( $27,493$ ft).

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: $1,932 + 3,383$ .

Graph the solution for the inequality $-9 \leq x < 4$ .

Express the interval $[3, \infty)$ as an inequality and sketch it on a number line.

At 8:00 a.m., bacteria count is recorded. Create a function $f(t)$ for the growth pattern given: $f(0)=8$ , $f(1)=32$ , $f(2)=128$ , $f(3)=512$ .

Write the equation for "The $y$ -value is three increased by the square of the $x$ -value" and choose the correct option.

Convert "The $y$ -value is three increased by the square of the $x$ -value" into an equation and graph it.

Find the equation of a line parallel to $12 x - 18 y = -36$ that passes through the point $P(-3, -6)$ .

Find the equation of the line parallel to $12 x-18 y=-36$ that goes through the point $P(-3,-6)$ .

A population of 25,200 is decreasing by $5\%$ annually. What will it be in 10 years? Round to the nearest whole number.

A population of 24,800 decreases by $4\%$ yearly. What will it be in 9 years? Round to the nearest whole number.

A baby is 20 inches long at birth. Find the percentage of adult height at age 13 using $f(x)=20+47 \log (x+2)$ .

Graph the set $\{-3,-2,0,3,7\}$ on a number line and locate -3.

Graph the set $\{-3,-2,0,3,7\}$ on a number line and mark -3.

Find the linear supply function $p(x)$ for 30 items at \$15, increasing by \$6 leads to 505 more items. Use slope-intercept form.

A $10.0 \mu \mathrm{F}$ capacitor discharges through a 1.9 $M \Omega$ resistor. When does current drop to a third of max?

A retailer sells sunglasses for \$45 with 50 customers daily. For each \$1.50 price increase, he loses 1 customer.
a) Show revenue $R=(45+x)\left(50-\frac{x}{1.5}\right)$ . b) Find the optimal price for maximum daily revenue and the revenue at that price.

Mariel's cellphone plan costs ₹ 2,500,00 monthly for 240 minutes. Extra minutes cost ₹7.50 each. Find:
a. Monthly cost function. b. Cost for 40 and 20 extra minutes. c. Total cost for 350 minutes.

Mariel's cellphone plan costs ₹ 2,500.00 monthly, includes 240 minutes, and charges ₹7.50 for extra minutes.
a. Find the cost function. b. Calculate the cost for 40 extra minutes and 20 extra minutes. c. Determine the cost for 350 total minutes.

Find the inverse of the function $f(x)=3(4 x-1)^{1/3}$ .

Find an equation for the height $h$ in meters based on the step number $n$ . Given: (50, 10), (90, 18), (110, 22).

Find an equation for the proportional relationship between $m$ and $n$ given: $m = 3, n = 21$ ; $m = 5, n = 35$ ; $m = 8, n = 56$ .

Identify the algebraic expressions for: a) 4.2 fewer than $12x$ , b) $4.2 - (12 + x)$ , c) $4.2 - 12x$ , d) $4.2 - (12 + x)$ .

Find the cubic polynomial $P(x)$ with a double root at $x=4$ , a single root at $x=-1$ , and a $y$ -intercept of $y=-12.8$ .

Shanice and Arjun want to plant daylilies ( $6 each) and ivy ($ 4 each) with a budget of $\$ 100$ and a max of 18 plants. Form inequalities.

Let $x$ be hours mowing lawns and $y$ be hours at Target. Set up the inequalities:
1. $x + y \leq 22$
2. $10x + 14y \geq 225$
One solution is $x = 10$ , $y = 12$ .