Math

Problem 1201

Solve the inequality $\frac{x}{2} - 3 > 0$ for the real number $x$ .

See Solution

Problem 1202

Write an expression for the number of cases of a disease that increases by a constant factor each year, given the initial number of cases and the number of cases at the end of the first 3 years: $1500, 1800, 2160, 2592$ .

See Solution

Problem 1203

Solve the equation $13^{x+8} = 18$ for all values of $x$ .

See Solution

Problem 1204

Find the angle $s$ in radians that satisfies $\cos s = 0.6823$ within the interval $[0, \pi/2]$ . $\mathrm{s} = \square$ radians (round to four decimal places).

See Solution

Problem 1205

Trouver la forme de la solution particulière $y_p$ d'une équation différentielle avec $r(x) = 4x e^{3x} \cos(2x)$ et solutions homogènes $y_h = C_1 e^{3x} + C_2 \cos(2x) + C_3 \sin(2x)$ .

See Solution

Problem 1206

Sketch the graph of $y=3 \cot(x-\pi/2)$ , the basic cycle of the cotangent function.

See Solution

Problem 1207

Find the set of $x$ values where $(x+4)(x+3)(1-x)>0$ and $(x+2)(x-2)<0$ .
A) $1<x<2$ B) $-2<x<1$ C) $-2<x<2$ D) $x<-2$ or $x>1$ E) $x<-4$ or $x>2$ F) $x<-1$ or $-3<x<1$ G) $-4<x<-2$ or $x>1$

See Solution

Problem 1208

Find the value of $\frac{f(x)-f(3)}{x-3}$ for $f(x)=2x+1$ and simplify.

See Solution

Problem 1209

Find the range of $w$ where $4 w^{2} - 25 \geq 0$ .

See Solution

Problem 1210

Estimate the mean water usage in gallons per day for a small town, with a maximum error of 0.15 gallons and 80% confidence. Given that the standard deviation is 2.3 gallons and the mean is 17.6 gallons, determine the required sample size.

See Solution

Problem 1211

Find the original value of a house that increased by 32% to $165,000.

See Solution

Problem 1212

Find the value(s) of $x$ that make the equations $10=\frac{1+7 x}{7+x}$ and $0.2=\frac{6+2 x}{12+x}$ true.

See Solution

Problem 1213

Solve for $x$ given the equation $12.3=3x$ .

See Solution

Problem 1214

Choose 3 true statements: 1) The centroid is the concurrency of a triangle's altitudes. 2) The incenter is the concurrency of a triangle's angle bisectors. 3) The circumcenter is the concurrency of a triangle's perpendicular bisectors and is equidistant from the vertices.

See Solution

Problem 1215

Find the value of $n$ that satisfies the equation $-\frac{1}{5} n + 7 = 2$ .

See Solution

Problem 1216

Express the number $2.69 \times 10^{-6}$ without exponents.

See Solution

Problem 1217

Determine if $-t^{5}-t^{2}$ is a polynomial. If it is, state the type and degree.

See Solution

Problem 1218

Find the error in the given step-by-step calculations: $-\frac{5x}{4}-\frac{7}{2}<-\frac{3}{8}, 10x+28<-3, 10x<-31, x<-\frac{31}{10}$ . The error occurred from line (1) to line (2).

See Solution

Problem 1219

Solve $3(9x-4)-3=5(x+2)$ for $x$ . Round the final answer to 6 decimal places.

See Solution

Problem 1220

Find the rate of change of the area of a square as its sides increase at $6 \mathrm{~m} / \mathrm{sec}$ , when the sides are $20 \mathrm{~m}$ and $26 \mathrm{~m}$ long.

See Solution

Problem 1221

Find $\sin 2x$ , $\cos 2x$ , and $\tan 2x$ given $\cos x=-\frac{3}{\sqrt{13}}$ and $x$ is in quadrant III.

See Solution

Problem 1222

Find the product of $-0.05$ and $24 \frac{1}{2}$ .

See Solution

Problem 1223

Solve for $x$ in terms of $h, c, f$ , and $y$ in the equation $h x + c y = f$ . Then find $x$ when $h=1, c=3, y=-2$ , and $f=9$ .
$x = \frac{f - c y}{h}$
$x = \frac{9 - 3(-2)}{1} = 15$

See Solution

Problem 1224

Find the quadratic regression model for a baseball thrown up in the air. Given data: (0,6), (2,22), (4,22), (6,6). Predict the height at 5 seconds using the equation $y = -2x^2 + 12x + 6$ , which gives a height of 56 ft.

See Solution

Problem 1225

Find the value of $x$ such that the line segment $\overline{AB}$ is parallel to the vector $\overrightarrow{CD}$ , given points $A(-9,-12), B(-2,2), C(x, 6), D(-5,-2)$ .

See Solution

Problem 1226

Mai will run less than 27 miles this week. She has run 13 miles. Find the possible additional miles $t$ she will run, where $t$ satisfies $0 \leq t < 14$ .

See Solution

Problem 1227

Simplify the expression $24.76 - 7.28$ .

See Solution

Problem 1228

Calculate the first quartile, third quartile, mean, median, range, standard deviation $s$ , interquartile range, lower and upper limits for outliers, and variance $s^2$ for the given GPA data of 15 students, rounded to 4 decimal places.

See Solution

Problem 1229

Find the correct mean of a data set with an incorrect value of $35 instead of$ 62. The total number of values and incorrect mean are unknown. Round to the nearest cent.

See Solution

Problem 1230

Represent $8 \div \frac{2}{3}$ using a diagram and write an equation to solve it.

See Solution

Problem 1231

Solve the equation $\frac{5-v_{\text{out}}}{10 K} = 0.1 \text{ mA}$ for $v_{\text{out}}$ .

See Solution

Problem 1232

Find the value of $v$ when $v=2c^2+6$ and $c=4$ .

See Solution

Problem 1233

Find the value of $a$ given the equation $14a = -17$ .

See Solution

Problem 1234

Rearrange the equation $H=K+\log(A/C)$ to isolate $A$ .

See Solution

Problem 1235

Add or subtract measurements, enter answers with correct significant digits. $14.500 \mathrm{~mL} + 15.8 \mathrm{~mL} = \square \mathrm{mL}$ , $18.90 \mathrm{~mL} - 2.600 \mathrm{~mL} = \square \mathrm{mL}$ , $3.8 \mathrm{~mL} + 1.670 \mathrm{~mL} = \square \mathrm{mL}$ , $\square \times 10^{\square}$ $\times$ S.

See Solution

Problem 1236

Solve for $z$ given $\frac{6}{z+4}=12$ .

See Solution

Problem 1237

Find the probability that a state will be hit by a major tornado ( $\mathrm{F} 4$ or F5) two years in a row, given the probability of a major tornado in any single year is $\frac{1}{9}$ . Round the answer to five decimal places.

See Solution

Problem 1238

Find the value of $x$ that satisfies the linear equation $x + 40 = 95$ .

See Solution

Problem 1239

Find the volume of an equilateral triangular prism with height $25 \mathrm{cm}$ and base side length $6 \mathrm{cm}$ .

See Solution

Problem 1240

Solve for $n$ and $m$ given $n+m=7$ and $2n-2m=6$ . Then solve for $x$ and $y$ given $3x+2y=5$ .

See Solution

Problem 1241

Simplify the expression $-5w + 4 - 2w$ .

See Solution

Problem 1242

Rewrite complex number $10(\cos 240^\circ + i \sin 240^\circ)$ in rectangular form.

See Solution

Problem 1243

Solve for $z$ where $-7=\frac{z}{-6}$ .

See Solution

Problem 1244

Solve linear equation $\frac{x-3}{2}=6$

See Solution

Problem 1245

Find the equation of a line parallel to $2x - 3y + 9 = 0$ with the same $y$ -intercept as $22x - 3y - 18 = 0$ .

See Solution

Problem 1246

Rewrite the rational function $g(x) = \frac{x^2 + 7x - 12}{x + 2}$ in the form $g(x) = p(x) + \frac{r}{x + 2}$ , where $p(x)$ is a polynomial and $r$ is an integer.

See Solution

Problem 1247

Find the $n$ th term rule and 10th term of the quadratic sequence $9, 12, 17, 24, 33, \ldots$

See Solution

Problem 1248

Find the value of $x$ when $f(x) = 3x - 29 = -14$ .

See Solution

Problem 1249

Create a word problem that requires multiplying two numbers. Solve the problem you create.

See Solution

Problem 1250

Calculate the finance charge on a credit card with a $15.5\%$ APR, given the balance over a 1-month period: $200$ for days 1-5, $350$ for days 6-20, and $150$ for days 21-30. Round the finance charge to the nearest hundredth.

See Solution

Problem 1251

Solve the equation $-3x - 3 = -v - 4w$ for $x$ .

See Solution

Problem 1252

Convert the rational function $y=\frac{8 x}{x+3}$ to standard form $y=\frac{a}{x-h}+k$ .

See Solution

Problem 1253

Find the quotient using the traditional long division algorithm: $\frac{9}{3,482}$ .

See Solution

Problem 1254

Solve the quadratic equation $x^{2}+6 x=-6$ . If exact roots cannot be found, state the consecutive integers between which the roots are located.

See Solution

Problem 1255

Solve the linear equation $2 = -3a + 8$ for the value of $a$ .

See Solution

Problem 1256

Solve the equation $x + 9 = 3$ using addition or subtraction property. The solution set is $\{3\}$ .

See Solution

Problem 1257

Determine which data set follows an exponential function: $(0,0.1),(1,0.5),(2,2.5),(3,12.5)$ $(0,-1),(1,0),(2,7),(3,20)$ $(0,-1),(1,0.5),(2,2),(3,3.5)$ $(0,-1),(1,2),(2,11),(3,26)$

See Solution

Problem 1258

Solve for the variable $b$ in the equation $6(4+5)-17b=b$ .

See Solution

Problem 1259

Find the missing number in the equation $=511 \cdot 0$ .

See Solution

Problem 1260

Represent the interval $-4 \leq x \leq 5$ on a number line. Choose the correct representation.

See Solution

Problem 1261

Find the values of $x$ that satisfy the equation $25^{x+5}=625^{x-1}$ .

See Solution

Problem 1262

Find four points on the inverse of the relation $y=-2|x|+2$ , expressing the coordinates as integers or simplified fractions.

See Solution

Problem 1263

Find the value of $x$ that satisfies $5\left[-\frac{1}{6}(x-4)\right]+10=0$ .

See Solution

Problem 1264

Find the vertex of the quadratic function $y=-2x^2+4x-3$ and determine if it is a maximum or minimum.
The given function has a $\textbf{Minimum}$ at $\textbf{y}=-\textbf{1}$ .

See Solution

Problem 1265

Find the equation of the horizontally stretched function $f(x)=3-x$ by a factor of 2.

See Solution

Problem 1266

Find the values of $x$ that satisfy the inequality $(x-3)(x-2)<0$ .

See Solution

Problem 1267

Evaluate the function $h(x)=-4x+3$ at $x=-2$ .

See Solution

Problem 1268

Matilda needs to exchange £21 for euros. Given the exchange rate of £1 = €1.12, how many euros can she get? Round the answer to 2 decimal places.

See Solution

Problem 1269

Complete the expression and select the missing property. Represent each answer as a number, variable, or their product. $7+x+9=x+\square+9=x+16$

See Solution

Problem 1270

Simplify the logarithm expression: $\log_{2}(\log_{4} 16)$ .

See Solution

Problem 1271

Find the domain of the function $F(C)=1.8C+32$ , which converts temperature from Celsius to Fahrenheit.

See Solution

Problem 1272

Find the value of $y$ in terms of $x$ for the linear equation $2x + y = 0$ .

See Solution

Problem 1273

Solve for the value of $x$ in the equation $8 x = 25.6$ .

See Solution

Problem 1274

Rewrite $\log_{9}(x^{9})$ using the Power Rule of Logarithms without evaluating the logarithm.

See Solution

Problem 1275

Find the product of $\left(2 \times 10^{4}\right) \times\left(3 \times 10^{2}\right)$ and simplify $\frac{9 \times 10^{12}}{3 \times 10^{3}}$ .

See Solution

Problem 1276

Find the best predicted value of the response variable for $x=3.5$ given $r=0.742$ and the regression equation $\hat{y}=55.8+2.79x$ . Round to two decimal places. Use a significance level of 0.05.

See Solution

Problem 1277

Find the area $A$ given $b=8$ and $h=6$ using the formula $A=b h$ .

See Solution

Problem 1278

Solve for all values of $c$ where the absolute value of $c+13$ is equal to 23.

See Solution

Problem 1279

Find the number of visits Violet must make to earn a free movie ticket with a points card that gives 85 points for sign-up and 2.5 points per visit, where 120 points are needed for a free ticket.
$x$ visits required to earn 120 points = $\frac{120 - 85}{2.5}$

See Solution

Problem 1280

Solve the linear equation $2x + 17 = 6x - 19$ for the value of $x$ .

See Solution

Problem 1281

Find the number $x$ that satisfies both $-3(x+7)=24$ and $x+7=-8$ . The correct statement is C) Subtracting 3 from both sides of Equation A gives $x+7=-8$ .

See Solution

Problem 1282

Find the value of $\frac{y}{8}$ when $y=32$ .

See Solution

Problem 1283

Estimate the product of $31.2$ and $2.6$ using front-end rounding, then calculate the exact answer.

See Solution

Problem 1284

Solve for $x$ where $6^{3x} = 30$ . Options: A) $x = 3 \ln 5$ , B) $x = \ln 30 - 3 \ln 6$ , C) $x = \frac{\ln 10}{\ln 6}$ , D) $x = \frac{\ln 30}{3 \ln 6}$ .

See Solution

Problem 1285

Find the value of $x$ that satisfies the equation $4.6 x + 9 = 3.8 x - 12$ .

See Solution

Problem 1286

Solve for $L$ where $54=3L+36$ . Enter the value of $L$ .

See Solution

Problem 1287

Encuentra el rango de valores de $x$ que satisfacen la desigualdad $\frac{-15}{7} \leq \frac{7x\mathrm{ms}-1}{7} < \frac{62}{7}$ .

See Solution

Problem 1288

Find the two solutions $A$ and $B$ to the equation $\cos(x) = -0.63$ on the interval $0 \leq x < 2\pi$ , where $A < B$ .

See Solution

Problem 1289

A connected graph with $60$ even vertices and $2$ odd vertices has an Euler circuit.

See Solution

Problem 1290

Solve the equation $4e-9=19$ by showing the steps. The first step should be on top.

See Solution

Problem 1291

Find the value of $(f \circ g)(3)$ where $f(x) = 7x^2 - 4x$ and $g(x) = 5x - 9$ .

See Solution

Problem 1292

Find the largest value of $n$ such that $5^{n}$ divides $1 \times 2 \times 3 \times \cdots \times 15$ .

See Solution

Problem 1293

Find the product of the complex numbers $(3-21i)$ and $(5+i)$ .

See Solution

Problem 1294

Find the image of the point (2,3) under reflection across the line x=0.

See Solution

Problem 1295

The number of cricket chirps per minute has a linear relationship with temperature. The equation is $T=33+0.25c$ , where $T$ is temperature (°F) and $c$ is chirps/minute. What does the coefficient 0.25 represent?

See Solution

Problem 1296

Simplify the expression: $\log \sqrt[5]{1000}$ .

See Solution

Problem 1297

Solve for $x$ in the linear equation $5 x + 10 = 10 + 5 x$ and determine the type of solution.

See Solution

Problem 1298

Calculate the total payment to pay off a $500 promissory note with 10% interest and 180-day term. Round to the nearest cent.
$\$[500 \times (1 + 0.10 \times \frac{180}{365})]$

See Solution

Problem 1299

Rewrite $y=\frac{1}{4}x+3$ to solve for $x$ . What feature of the line can be found using the rearranged equation $x=\frac{4y-12}{1}$ ?

See Solution

Problem 1300

Solve the polynomial equation $9y^3 - 16y = 0$ by grouping and factoring. Enter the exact solutions.

See Solution

1 ...10 11 12 13 14 15 16 ...660

Math

Problem 1201

Solve the inequality x2−3>0\frac{x}{2} - 3 > 02x​−3>0 for the real number xxx.

Problem 1202

Write an expression for the number of cases of a disease that increases by a constant factor each year, given the initial number of cases and the number of cases at the end of the first 3 years: 1500,1800,2160,25921500, 1800, 2160, 25921500,1800,2160,2592.

Problem 1203

Solve the equation 13x+8=1813^{x+8} = 1813x+8=18 for all values of xxx.

Problem 1204

Find the angle sss in radians that satisfies cos⁡s=0.6823\cos s = 0.6823coss=0.6823 within the interval [0,π/2][0, \pi/2][0,π/2]. s=□\mathrm{s} = \squares=□ radians (round to four decimal places).

Problem 1205

Problem 1206

Sketch the graph of y=3cot⁡(x−π/2)y=3 \cot(x-\pi/2)y=3cot(x−π/2), the basic cycle of the cotangent function.

Problem 1207

Problem 1208

Find the value of f(x)−f(3)x−3\frac{f(x)-f(3)}{x-3}x−3f(x)−f(3)​ for f(x)=2x+1f(x)=2x+1f(x)=2x+1 and simplify.

Problem 1209

Find the range of www where 4w2−25≥04 w^{2} - 25 \geq 04w2−25≥0.

Problem 1210

Estimate the mean water usage in gallons per day for a small town, with a maximum error of 0.15 gallons and 80% confidence. Given that the standard deviation is 2.3 gallons and the mean is 17.6 gallons, determine the required sample size.

Problem 1211

Find the original value of a house that increased by 32% to $165,000.

Problem 1212

Find the value(s) of xxx that make the equations 10=1+7x7+x10=\frac{1+7 x}{7+x}10=7+x1+7x​ and 0.2=6+2x12+x0.2=\frac{6+2 x}{12+x}0.2=12+x6+2x​ true.

Problem 1213

Solve for xxx given the equation 12.3=3x12.3=3x12.3=3x.

Problem 1214

Choose 3 true statements: 1) The centroid is the concurrency of a triangle's altitudes. 2) The incenter is the concurrency of a triangle's angle bisectors. 3) The circumcenter is the concurrency of a triangle's perpendicular bisectors and is equidistant from the vertices.

Problem 1215

Find the value of nnn that satisfies the equation −15n+7=2-\frac{1}{5} n + 7 = 2−51​n+7=2.

Problem 1216

Express the number 2.69×10−62.69 \times 10^{-6}2.69×10−6 without exponents.

Problem 1217

Determine if −t5−t2-t^{5}-t^{2}−t5−t2 is a polynomial. If it is, state the type and degree.

Problem 1218

Find the error in the given step-by-step calculations: −5x4−72<−38,10x+28<−3,10x<−31,x<−3110-\frac{5x}{4}-\frac{7}{2}<-\frac{3}{8}, 10x+28<-3, 10x<-31, x<-\frac{31}{10}−45x​−27​<−83​,10x+28<−3,10x<−31,x<−1031​. The error occurred from line (1) to line (2).

Problem 1219

Solve 3(9x−4)−3=5(x+2)3(9x-4)-3=5(x+2)3(9x−4)−3=5(x+2) for xxx. Round the final answer to 6 decimal places.

Problem 1220

Find the rate of change of the area of a square as its sides increase at 6 m/sec6 \mathrm{~m} / \mathrm{sec}6 m/sec, when the sides are 20 m20 \mathrm{~m}20 m and 26 m26 \mathrm{~m}26 m long.

Problem 1221

Find sin⁡2x\sin 2xsin2x, cos⁡2x\cos 2xcos2x, and tan⁡2x\tan 2xtan2x given cos⁡x=−313\cos x=-\frac{3}{\sqrt{13}}cosx=−13​3​ and xxx is in quadrant III.

Problem 1222

Find the product of −0.05-0.05−0.05 and 241224 \frac{1}{2}2421​.

Problem 1223

Solve for xxx in terms of h,c,fh, c, fh,c,f, and yyy in the equation hx+cy=fh x + c y = fhx+cy=f. Then find xxx when h=1,c=3,y=−2h=1, c=3, y=-2h=1,c=3,y=−2, and f=9f=9f=9.x=f−cyhx = \frac{f - c y}{h}x=hf−cy​x=9−3(−2)1=15x = \frac{9 - 3(-2)}{1} = 15x=19−3(−2)​=15

Problem 1224

Find the quadratic regression model for a baseball thrown up in the air. Given data: (0,6), (2,22), (4,22), (6,6). Predict the height at 5 seconds using the equation y=−2x2+12x+6y = -2x^2 + 12x + 6y=−2x2+12x+6, which gives a height of 56 ft.

Problem 1225

Find the value of xxx such that the line segment AB‾\overline{AB}AB is parallel to the vector CDundefined\overrightarrow{CD}CD, given points A(−9,−12),B(−2,2),C(x,6),D(−5,−2)A(-9,-12), B(-2,2), C(x, 6), D(-5,-2)A(−9,−12),B(−2,2),C(x,6),D(−5,−2).

Problem 1226

Mai will run less than 27 miles this week. She has run 13 miles. Find the possible additional miles ttt she will run, where ttt satisfies 0≤t<140 \leq t < 140≤t<14.

Problem 1227

Simplify the expression 24.76−7.2824.76 - 7.2824.76−7.28.

Problem 1228

Calculate the first quartile, third quartile, mean, median, range, standard deviation sss, interquartile range, lower and upper limits for outliers, and variance s2s^2s2 for the given GPA data of 15 students, rounded to 4 decimal places.

Problem 1229

Find the correct mean of a data set with an incorrect value of 35insteadof35 instead of 35insteadof62. The total number of values and incorrect mean are unknown. Round to the nearest cent.

Problem 1230

Represent 8÷238 \div \frac{2}{3}8÷32​ using a diagram and write an equation to solve it.

Problem 1231

Solve the equation 5−vout10K=0.1 mA\frac{5-v_{\text{out}}}{10 K} = 0.1 \text{ mA}10K5−vout​​=0.1 mA for voutv_{\text{out}}vout​.

Problem 1232

Find the value of vvv when v=2c2+6v=2c^2+6v=2c2+6 and c=4c=4c=4.

Problem 1233

Find the value of aaa given the equation 14a=−1714a = -1714a=−17.

Problem 1234

Rearrange the equation H=K+log⁡(A/C)H=K+\log(A/C)H=K+log(A/C) to isolate AAA.

Problem 1235

Problem 1236

Solve for zzz given 6z+4=12\frac{6}{z+4}=12z+46​=12.

Problem 1237

Find the probability that a state will be hit by a major tornado (F4\mathrm{F} 4F4 or F5) two years in a row, given the probability of a major tornado in any single year is 19\frac{1}{9}91​. Round the answer to five decimal places.

Problem 1238

Find the value of xxx that satisfies the linear equation x+40=95x + 40 = 95x+40=95.

Problem 1239

Find the volume of an equilateral triangular prism with height 25cm25 \mathrm{cm}25cm and base side length 6cm6 \mathrm{cm}6cm.

Problem 1240

Solve for nnn and mmm given n+m=7n+m=7n+m=7 and 2n−2m=62n-2m=62n−2m=6. Then solve for xxx and yyy given 3x+2y=53x+2y=53x+2y=5.

Problem 1241

Simplify the expression −5w+4−2w-5w + 4 - 2w−5w+4−2w.

Solve the inequality $\frac{x}{2} - 3 > 0$ for the real number $x$ .

Write an expression for the number of cases of a disease that increases by a constant factor each year, given the initial number of cases and the number of cases at the end of the first 3 years: $1500, 1800, 2160, 2592$ .

Solve the equation $13^{x+8} = 18$ for all values of $x$ .

Find the angle $s$ in radians that satisfies $\cos s = 0.6823$ within the interval $[0, \pi/2]$ . $\mathrm{s} = \square$ radians (round to four decimal places).

Sketch the graph of $y=3 \cot(x-\pi/2)$ , the basic cycle of the cotangent function.

Find the value of $\frac{f(x)-f(3)}{x-3}$ for $f(x)=2x+1$ and simplify.

Find the range of $w$ where $4 w^{2} - 25 \geq 0$ .

Find the value(s) of $x$ that make the equations $10=\frac{1+7 x}{7+x}$ and $0.2=\frac{6+2 x}{12+x}$ true.

Solve for $x$ given the equation $12.3=3x$ .

Find the value of $n$ that satisfies the equation $-\frac{1}{5} n + 7 = 2$ .

Express the number $2.69 \times 10^{-6}$ without exponents.

Determine if $-t^{5}-t^{2}$ is a polynomial. If it is, state the type and degree.

Find the error in the given step-by-step calculations: $-\frac{5x}{4}-\frac{7}{2}<-\frac{3}{8}, 10x+28<-3, 10x<-31, x<-\frac{31}{10}$ . The error occurred from line (1) to line (2).

Solve $3(9x-4)-3=5(x+2)$ for $x$ . Round the final answer to 6 decimal places.

Find the rate of change of the area of a square as its sides increase at $6 \mathrm{~m} / \mathrm{sec}$ , when the sides are $20 \mathrm{~m}$ and $26 \mathrm{~m}$ long.

Find $\sin 2x$ , $\cos 2x$ , and $\tan 2x$ given $\cos x=-\frac{3}{\sqrt{13}}$ and $x$ is in quadrant III.

Find the product of $-0.05$ and $24 \frac{1}{2}$ .

Solve for $x$ in terms of $h, c, f$ , and $y$ in the equation $h x + c y = f$ . Then find $x$ when $h=1, c=3, y=-2$ , and $f=9$ .
$x = \frac{f - c y}{h}$
$x = \frac{9 - 3(-2)}{1} = 15$

Find the quadratic regression model for a baseball thrown up in the air. Given data: (0,6), (2,22), (4,22), (6,6). Predict the height at 5 seconds using the equation $y = -2x^2 + 12x + 6$ , which gives a height of 56 ft.

Find the value of $x$ such that the line segment $\overline{AB}$ is parallel to the vector $\overrightarrow{CD}$ , given points $A(-9,-12), B(-2,2), C(x, 6), D(-5,-2)$ .

Mai will run less than 27 miles this week. She has run 13 miles. Find the possible additional miles $t$ she will run, where $t$ satisfies $0 \leq t < 14$ .

Simplify the expression $24.76 - 7.28$ .

Calculate the first quartile, third quartile, mean, median, range, standard deviation $s$ , interquartile range, lower and upper limits for outliers, and variance $s^2$ for the given GPA data of 15 students, rounded to 4 decimal places.

Find the correct mean of a data set with an incorrect value of $35 instead of$ 62. The total number of values and incorrect mean are unknown. Round to the nearest cent.

Represent $8 \div \frac{2}{3}$ using a diagram and write an equation to solve it.

Solve the equation $\frac{5-v_{\text{out}}}{10 K} = 0.1 \text{ mA}$ for $v_{\text{out}}$ .

Find the value of $v$ when $v=2c^2+6$ and $c=4$ .

Find the value of $a$ given the equation $14a = -17$ .

Rearrange the equation $H=K+\log(A/C)$ to isolate $A$ .

Solve for $z$ given $\frac{6}{z+4}=12$ .

Find the probability that a state will be hit by a major tornado ( $\mathrm{F} 4$ or F5) two years in a row, given the probability of a major tornado in any single year is $\frac{1}{9}$ . Round the answer to five decimal places.

Find the value of $x$ that satisfies the linear equation $x + 40 = 95$ .

Find the volume of an equilateral triangular prism with height $25 \mathrm{cm}$ and base side length $6 \mathrm{cm}$ .

Solve for $n$ and $m$ given $n+m=7$ and $2n-2m=6$ . Then solve for $x$ and $y$ given $3x+2y=5$ .

Simplify the expression $-5w + 4 - 2w$ .

Rewrite complex number $10(\cos 240^\circ + i \sin 240^\circ)$ in rectangular form.

Solve for $z$ where $-7=\frac{z}{-6}$ .

Solve linear equation $\frac{x-3}{2}=6$

Find the equation of a line parallel to $2x - 3y + 9 = 0$ with the same $y$ -intercept as $22x - 3y - 18 = 0$ .

Rewrite the rational function $g(x) = \frac{x^2 + 7x - 12}{x + 2}$ in the form $g(x) = p(x) + \frac{r}{x + 2}$ , where $p(x)$ is a polynomial and $r$ is an integer.

Find the $n$ th term rule and 10th term of the quadratic sequence $9, 12, 17, 24, 33, \ldots$

Find the value of $x$ when $f(x) = 3x - 29 = -14$ .

Calculate the finance charge on a credit card with a $15.5\%$ APR, given the balance over a 1-month period: $200$ for days 1-5, $350$ for days 6-20, and $150$ for days 21-30. Round the finance charge to the nearest hundredth.

Solve the equation $-3x - 3 = -v - 4w$ for $x$ .

Convert the rational function $y=\frac{8 x}{x+3}$ to standard form $y=\frac{a}{x-h}+k$ .

Find the quotient using the traditional long division algorithm: $\frac{9}{3,482}$ .

Solve the quadratic equation $x^{2}+6 x=-6$ . If exact roots cannot be found, state the consecutive integers between which the roots are located.

Solve the linear equation $2 = -3a + 8$ for the value of $a$ .

Solve the equation $x + 9 = 3$ using addition or subtraction property. The solution set is $\{3\}$ .

Solve for the variable $b$ in the equation $6(4+5)-17b=b$ .

Find the missing number in the equation $=511 \cdot 0$ .

Represent the interval $-4 \leq x \leq 5$ on a number line. Choose the correct representation.

Find the values of $x$ that satisfy the equation $25^{x+5}=625^{x-1}$ .

Find four points on the inverse of the relation $y=-2|x|+2$ , expressing the coordinates as integers or simplified fractions.

Find the value of $x$ that satisfies $5\left[-\frac{1}{6}(x-4)\right]+10=0$ .

Find the vertex of the quadratic function $y=-2x^2+4x-3$ and determine if it is a maximum or minimum.
The given function has a $\textbf{Minimum}$ at $\textbf{y}=-\textbf{1}$ .

Find the equation of the horizontally stretched function $f(x)=3-x$ by a factor of 2.

Find the values of $x$ that satisfy the inequality $(x-3)(x-2)<0$ .

Evaluate the function $h(x)=-4x+3$ at $x=-2$ .

Complete the expression and select the missing property. Represent each answer as a number, variable, or their product. $7+x+9=x+\square+9=x+16$

Simplify the logarithm expression: $\log_{2}(\log_{4} 16)$ .

Find the domain of the function $F(C)=1.8C+32$ , which converts temperature from Celsius to Fahrenheit.

Find the value of $y$ in terms of $x$ for the linear equation $2x + y = 0$ .

Solve for the value of $x$ in the equation $8 x = 25.6$ .

Rewrite $\log_{9}(x^{9})$ using the Power Rule of Logarithms without evaluating the logarithm.