Model

Problem 4101

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time $t$ and (b) the current in the circuit at any time t .

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Problem 4102

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} $y=$

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Problem 4103

Graph the pairs for flour ( $f$ ) and sugar ( $s$ ) using $f = 3, 6, 9, 12$ . The ratio is $3f = 2s$ .

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Problem 4104

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

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Problem 4105

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

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Problem 4106

Complete the table for GCF and LCM. Find Karen's age today if it's a multiple of 9 and was a multiple of 8 five years ago.

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Problem 4107

Plot the equation $-2 + 2$ on a number line.

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Problem 4108

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

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Problem 4109

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

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Problem 4110

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

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Problem 4111

Graph the line for the equation $x - y = 2$ .

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Problem 4112

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

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Problem 4113

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: $x < 116$ or $x > 124$ .

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Problem 4114

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

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Problem 4115

Graph the solution for the inequality $x \leq -1$ .

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Problem 4116

Write a cost function for a ski resort that charges \$20 plus \$4.25 per hour. Identify the correct variable.

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Problem 4117

Find the linear cost function $C(x)$ given a fixed cost of \$300 and that producing 60 items costs \$3,300.

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Problem 4118

A scuba diver is at 82 feet deep and descends another 19 feet. What is his new depth as an integer?

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Problem 4119

Find the linear depreciation function for a car priced at \$25,250, expected to be worth \$14,234 in 4 years. Also, estimate its value in 6 years and find the depreciation rate.

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Problem 4120

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

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Problem 4121

Rectangle $WXYX$ has length $3x + 5$ . Find the perimeter expression in terms of width $x$ .

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Problem 4122

Plot the number $-\frac{7}{4}$ on a number line.

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Problem 4123

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

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Problem 4124

Examine the following graph of a line. (c) 2017 FlipSwitch. Created using GeoGebra.
Which equation, in point-slope form, correctly represents

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Problem 4125

Question Watch Video Show Examples
Bilquis accepted a new job at a company with a contract guaranteeing annual raises. Bilquis will get a raise of $\$ 2000$ every year and had a starting salary of $\$ 35000$ . Make a table of values and then write an equation for $S$ , in terms of $n$ , representing Bilquis' salary after working $n$ years for the company. \begin{tabular}{|c|c|} \hline Number of Years at the Company & Bilquis' Salary (Dollars) \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{tabular}

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Problem 4126

Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 4127

(1 point)
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm . If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area. \begin{tabular}{|l|l|l|} \hline & & \\ \hline & \begin{tabular}{c} printed \\ material \end{tabular} & \\ \hline & & \\ \hline \end{tabular}
Width = $\square$ (include $\square$ help (units) Height $=$ $\square$ (include help (units)
Note: You can earn partial credit on this problem.

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Problem 4128

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, $c$ , that arrive at the top of the hill and the total number of people transported, $p$ .

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Problem 4129

Name $\qquad$ Date $\qquad$
1. Jacob lives on a street that runs east and west. The grocery store is to the east and the post office is to the west of his house. Both are on the same street as his house. Answer the questions below about the following story:
At 1:00 p.m., Jacob hops in his car and drives at a constant speed of 25 mph for 6 minutes to the post office. After 10 minutes at the post office, he realizes he is late and drives at a constant speed of 30 mpl to the grocery store, arriving at 1:28 p.m. He then spends 20 minutes buying groceries. a. Draw a graph that shows the distance Jacob's car is from his house with respect to time. Remember to label your axes with the units you chose and any important points (home, post office, grocery store).

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Problem 4130

Show the commutative property of multiplication: complete $q \cdot c =$ with $c \cdot q$ .

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Problem 4131

Find the $x$ -intercept and $y$ -intercept of the line given by $-8x + 10y = -20$ and graph it.

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Problem 4132

Complete the equation using the distributive property: $2(x+y+7)=$

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Problem 4133

Complete the equation to show the distributive property: $2(x+y+7)=$

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Problem 4134

Graph the line with slope $2/5$ and $y$ -intercept -5.

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Problem 4135

Find the standard matrix for the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ that rotates points by $-\frac{5 \pi}{4}$ radians. $A=$

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Problem 4136

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

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Problem 4137

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

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Problem 4138

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

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Problem 4139

Graph the line with slope -3 and y-intercept -2.

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Problem 4140

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

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Problem 4141

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

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Problem 4142

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

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Problem 4143

Graph the line with y-intercept 1 and slope 4.

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Problem 4144

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

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Problem 4145

Graph the line with slope $-\frac{3}{4}$ and $y$ -intercept at -2.

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Problem 4146

Find the standard matrix of the linear transformation $T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$ given $T(\mathbf{e}_{1})=(1,9)$ , $T(\mathbf{e}_{2})=(-4,6)$ , $T(\mathbf{e}_{3})=(9,-8)$ . $A=\square$ (Type an integer or decimal for each matrix element.)

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Problem 4147

Graph the line with a y-intercept of -8 and a slope of 8.

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Problem 4148

Determine the ingredient amounts for 12 brownies based on a recipe for 16 brownies.

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Problem 4149

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

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Problem 4150

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

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Problem 4151

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

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Problem 4152

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

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Problem 4153

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

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Problem 4154

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

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Model

Problem 4101

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time ttt and (b) the current in the circuit at any time t .

Problem 4102

\begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} y=y=y=

Problem 4103

Graph the pairs for flour (fff) and sugar (sss) using f=3,6,9,12f = 3, 6, 9, 12f=3,6,9,12. The ratio is 3f=2s3f = 2s3f=2s.

Problem 4104

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

Problem 4105

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using 3,6,9,123, 6, 9, 123,6,9,12 cups of flour.

Problem 4106

Complete the table for GCF and LCM. Find Karen's age today if it's a multiple of 9 and was a multiple of 8 five years ago.

Problem 4107

Plot the equation −2+2-2 + 2−2+2 on a number line.

Problem 4108

Estimate household size H\mathrm{H}H using H=aM+bP+c\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}H=aM+bP+c from given data. Find a\mathrm{a}a, b\mathrm{b}b, c\mathrm{c}c.

Problem 4109

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

Problem 4110

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

Problem 4111

Graph the line for the equation x−y=2x - y = 2x−y=2.

Problem 4112

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: s<116s < 116s<116 or s>124s > 124s>124.

Problem 4113

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: x<116x < 116x<116 or x>124x > 124x>124.

Problem 4114

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

Problem 4115

Graph the solution for the inequality x≤−1x \leq -1x≤−1.

Problem 4116

Write a cost function for a ski resort that charges \$20 plus \$4.25 per hour. Identify the correct variable.

Problem 4117

Find the linear cost function C(x)C(x)C(x) given a fixed cost of \$300 and that producing 60 items costs \$3,300.

Problem 4118

A scuba diver is at 82 feet deep and descends another 19 feet. What is his new depth as an integer?

Problem 4119

Find the linear depreciation function for a car priced at \$25,250, expected to be worth \$14,234 in 4 years. Also, estimate its value in 6 years and find the depreciation rate.

Problem 4120

Calculate the specific heat of a liquid given that 47.1 J47.1 \mathrm{~J}47.1 J raises 13.8 g13.8 \mathrm{~g}13.8 g by 1.79∘C1.79^{\circ} \mathrm{C}1.79∘C.

Problem 4121

Rectangle WXYXWXYXWXYX has length 3x+53x + 53x+5. Find the perimeter expression in terms of width xxx.

Problem 4122

Plot the number −74-\frac{7}{4}−47​ on a number line.

Problem 4123

Find the xxx-intercept and yyy-intercept of the line 3x−2y=−183x - 2y = -183x−2y=−18 and use them to graph the line.

Problem 4124

Examine the following graph of a line. (c) 2017 FlipSwitch. Created using GeoGebra.Which equation, in point-slope form, correctly represents

Problem 4125

Problem 4126

Write the equation of this line in slope-intercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form.

Problem 4127

Problem 4128

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, ccc, that arrive at the top of the hill and the total number of people transported, ppp.

Problem 4129

Problem 4130

Show the commutative property of multiplication: complete q⋅c=q \cdot c = q⋅c= with c⋅qc \cdot qc⋅q.

Problem 4131

Find the xxx-intercept and yyy-intercept of the line given by −8x+10y=−20-8x + 10y = -20−8x+10y=−20 and graph it.

Problem 4132

Complete the equation using the distributive property: 2(x+y+7)=2(x+y+7)=2(x+y+7)=

Problem 4133

Complete the equation to show the distributive property: 2(x+y+7)=2(x+y+7)=2(x+y+7)=

Problem 4134

Graph the line with slope 2/52/52/5 and yyy-intercept -5.

Problem 4135

Find the standard matrix for the linear transformation T:R2→R2T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}T:R2→R2 that rotates points by −5π4-\frac{5 \pi}{4}−45π​ radians. A=A=A=

Problem 4136

Graph the line with slope 25\frac{2}{5}52​ and yyy-intercept -5.

Problem 4137

Find the line equation in slope-intercept form with yyy-intercept -7 and slope −13-\frac{1}{3}−31​.

Problem 4138

Graph the line with a yyy-intercept of -7 and a slope of −13-\frac{1}{3}−31​.

Problem 4139

Graph the line with slope -3 and y-intercept -2.

Problem 4140

Find the equation of the line through (−6,5)(-6,5)(−6,5) that is parallel to −2x+3y=4-2x + 3y = 4−2x+3y=4.

Problem 4141

Find the standard form equation of the line through points (0,6)(0,6)(0,6) and (4,0)(4,0)(4,0).

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time $t$ and (b) the current in the circuit at any time t .

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} $y=$

Graph the pairs for flour ( $f$ ) and sugar ( $s$ ) using $f = 3, 6, 9, 12$ . The ratio is $3f = 2s$ .

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

Plot the equation $-2 + 2$ on a number line.

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

Graph the line for the equation $x - y = 2$ .

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: $x < 116$ or $x > 124$ .

Graph the solution for the inequality $x \leq -1$ .

Find the linear cost function $C(x)$ given a fixed cost of \$300 and that producing 60 items costs \$3,300.

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

Rectangle $WXYX$ has length $3x + 5$ . Find the perimeter expression in terms of width $x$ .

Plot the number $-\frac{7}{4}$ on a number line.

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

Examine the following graph of a line. (c) 2017 FlipSwitch. Created using GeoGebra.
Which equation, in point-slope form, correctly represents

Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, $c$ , that arrive at the top of the hill and the total number of people transported, $p$ .

Show the commutative property of multiplication: complete $q \cdot c =$ with $c \cdot q$ .

Find the $x$ -intercept and $y$ -intercept of the line given by $-8x + 10y = -20$ and graph it.

Complete the equation using the distributive property: $2(x+y+7)=$

Complete the equation to show the distributive property: $2(x+y+7)=$

Graph the line with slope $2/5$ and $y$ -intercept -5.

Find the standard matrix for the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ that rotates points by $-\frac{5 \pi}{4}$ radians. $A=$

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

Graph the line with slope $-\frac{3}{4}$ and $y$ -intercept at -2.

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .