Browse Math problems in the Studdy Learning Bank!

Problem 7201

Find the equation of the linear function passing through the point $(x, y) = (-4, 6)$ with slope $2$ .

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Problem 7202

Solve for the value of $v$ given the equation $v-\frac{3}{8}=-\frac{3}{4}$ .

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Problem 7203

Describe the translation from $y=2(x-15)^{2}+3$ to $y=2(x-11)^{2}+3$ : 4 units to the left

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Problem 7204

Solve the linear equation $2+r=7+6r$ for the unknown variable $r$ .

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Problem 7205

Encuentra la solución de la ecuación $y=-\frac{5}{7} x+7$ cuando $x=7$ .

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Problem 7206

Find values of x that satisfy the inequality $17 > -2x + 11$ . Circle all applicable options: $\frac{1}{11}$ , $-2 \frac{9}{17}$ , $-3 \frac{4}{9}$ .

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Problem 7207

Find the value of $x$ that satisfies the equation $(1+7)(4+1x) = 15 - 2.5(x+1)$ , rounded to two decimal places.

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Problem 7208

Evaluate $\frac{7}{10}-\frac{9}{8}$ and write the answer as a simplified fraction.

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Problem 7209

Find the missing value in the given expression: $3 \times 2^{2} \times 8 = 3 \times \square \times 8 = \square \times 8 = \square$ .

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Problem 7210

Start with 3, multiply by 3 to find the next 3 numbers in the pattern. Find $3 \times 3, 3 \times 3 \times 3, 3 \times 3 \times 3 \times 3$ .

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Problem 7211

Find the function representing the direct variation between $x$ and $y$ given that $y=14$ when $x=6$ .

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Problem 7212

Solve the inequality $4x-5<0$ for real values of $x$ .

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Problem 7213

Find the value of $p(0)$ when $p(z)=2z^3-5z$ .

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Problem 7214

Find the median weight of a sample of 13 male 11th graders with weights $152, 165, 140, 150, 175, 142, 172, 171, 156, 158, 168, 146, 160$ pounds.

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Problem 7215

Solve the inequality $5x + 10 > 30$ and select the correct solution.

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Problem 7216

Identify the starting value and rate of change of the linear equation $y=7x-2$ .

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Problem 7217

A company estimates $0.9\%$ of products fail within 2 years after warranty. Replacement cost is $\$ 500$ . What is the expected value of a $\$ 80$ 2-year extended warranty?

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Problem 7218

Find the number(s) $x$ such that $2x^2 - 12 = -5x$ .

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Problem 7219

Find the x-intercept of the trend line $y=-0.13x+11.2$ . Determine if the x-intercept is plausible in a real-world scenario and explain.

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Problem 7220

Estimate the product of $19 \times 27$ and round the result to the nearest integer $x$ .

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Problem 7221

A scuba diver dove $40$ feet, then $17$ more feet. Find the total depth using an equation.

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Problem 7222

Evaluate the indefinite integral of $\sin(\ln x)$ with respect to $x$ .

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Problem 7223

Solve $\frac{1}{4} \div 8$ . Options: A. $\frac{1}{32}$ B. $\frac{4}{8}$ C. 2 D. 32

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Problem 7224

Trouve l'ensemble de nombres quantiques non permis et modifie un nombre pour obtenir un ensemble permis. $n=1, l=2, m_{l}=-2$ ou $n=4, l=1, m_{l}=-2$

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Problem 7225

Find the value of $x$ that satisfies the equation $4x=124$ .

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Problem 7226

Find the solutions to the equation $\ln(x-2)=1$ , where $x>2$ .

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Problem 7227

Describe the graph of the geometric sequence $640, 160, 40, 10, \ldots$ . Select two: (1) Graph shows exponential growth, (2) Graph appears linear, (3) Domain is natural numbers, (4) Range is natural numbers, (5) Graph shows exponential decay.

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Problem 7228

Evaluate the expression $\frac{1}{6}\left(\sqrt{36} \div \frac{1}{3^{2}}\right)+4^{2} \div 8$ and provide the value.

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Problem 7229

Solve the equation $-2(x+11)=-8$ to find the value of $x$ .

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Problem 7230

Solve the linear equation $y-5=0$ for the value of $y$ .

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Problem 7231

Identify the scale factor between two similar right triangles given the lengths of corresponding sides are 20 and 60.

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Problem 7232

Solve the equation $0.7^{3}=n$ for the value of $n$ .

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Problem 7233

Find an equation for a number plus 5.1 equals 8.8, using variable $n$ .

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Problem 7234

Find the average of 7 and $\frac{3}{4}$ .

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Problem 7235

Find the value of $w$ given that $\frac{w}{3} = 0.5$ .

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Problem 7236

Solve for $y$ in the linear equation $3y - 8y = 25$ .

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Problem 7237

Solve the equation $3.5(2.25+x)=14$ for $x$ .

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Problem 7238

Find the current $i$ at time $t=3$ seconds given $q=\frac{7}{4} t+\frac{7}{40} e^{-10 t}$ where $i=\frac{d q}{d t}$ .

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Problem 7239

Determine the properties of the polynomial $1+7x^2$ , including the constant term, leading term, and leading coefficient.

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Problem 7240

Find the 25th term of the sequence $12, 9, 6, 3, \ldots$

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Problem 7241

Solve for $m$ in the equation $-64=m^{3}$ . Express the solution in simplest radical form.

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Problem 7242

Solve the equation $2^{(x-1)(x+2)(x-7)(x+8)}=1$ .

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Problem 7243

Find the percentage representation of 0.7.

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Problem 7244

Drag the points on the line to show the ordered pairs that satisfy $y = -3x + 2$ .

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Problem 7245

Find the distance between two points where a boat's crew measured the angle of elevation to a lighthouse beacon at $11^{\circ}$ and $22^{\circ}$ , given the beacon is $104$ feet above the water.

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Problem 7246

Find the number $x$ such that $-3x - 5 > 125$ . Which inequality represents the solution set for $x$ ?

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Problem 7247

Analyze the end behavior of $f(x) = 12x + 144 - 6x^2$ as $x \rightarrow \pm \infty$ .

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Problem 7248

Find the missing digit $x$ in the pattern formed by the numbers in the outer and inner columns. $8 \ x \ 6 \ 2$

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Problem 7249

Find the solutions to the absolute value equation $|x| + 10 = 1$ .

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Problem 7250

Find the ratio of $x$ to $y$ given the equation $3x = 7y$ .

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Problem 7251

Find alternative ways to write 3/4.

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Problem 7252

Determine which equation is in standard form: a. $x+3=-5y$ , b. $5-y=x$ , c. $y=3x+6$ , d. $-8x+3y=12$ .

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Problem 7253

Choose the best term from the box to complete the vocabulary definitions: 1. $A(n)$ that contains numbers and at least one operation is a numerical expression. 2. A letter or symbol representing an unknown amount is a variable. 3. A number sentence using the $=$ symbol is an equation. 4. The answer to a multiplication problem is a product.

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Problem 7254

Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. $\{1, 2, 3\}$

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Problem 7255

Solve the quadratic inequality $x^{2} - 4x + 3 \leq 0$ by graphing.

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Problem 7256

Simplify the expression $9 \sqrt{5} + \sqrt{45}$ .

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Problem 7257

Find the value of $w$ when $a=20$ , given $w=\frac{a}{4}+3$ .

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Problem 7258

Determine the number of light bulbs needed for 15 chandeliers given the function $b(n)=6n$ .

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Problem 7259

Analyze the end behavior of the function $h(x)=-\frac{5 x^{3}}{11 x-2}$ using limit notation.

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Problem 7260

Solve for $x$ in the equation $x-4=-2x+9$ . Round to the nearest tenth if necessary.

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Problem 7261

Find the simplified ratio of 30 feet to 20 feet.

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Problem 7262

Solve the absolute value equation $|b+4|-2=4$ .

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Problem 7263

Convert 25 cm to meters.

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Problem 7264

Find the equation of the perpendicular bisector of line segment between points $A(-3,4)$ and $B(5,2)$ . $y=4x-1$

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Problem 7265

Find the antiderivative $F(x)$ of $f(x) = 2x + 7$ given $F(1) = 8$ , then calculate the exact value of $F(2)$ .

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Problem 7266

Solve for $y$ in the equation $-6=-\frac{4}{3}y$ .

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Problem 7267

Solve for $x$ in the linear equation $8x + 3 = 6x - 9$ , then evaluate $3x - 2$ .

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Problem 7268

Find the base $\mathrm{x}$ where $135_{10}=343_\mathrm{x}$

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Problem 7269

Convert the Statue of Liberty's height of $151 \mathrm{ft}$ to meters.

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Problem 7270

Solve the equation $9-|5x+1|=9$ and provide the solution(s) as a comma-separated list. If there is no solution, enter "NO SOLUTION".

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Problem 7271

Three baseball players are playing catch. Find the distance Franco needs to throw the ball to reach Elijah, given their positions. Round to nearest tenth if needed. $\sqrt{3^2 + 5^2}$ meters.

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Problem 7272

Find the values of $y$ for $x = -2$ and $x = -1$ when $y = 2x$ .

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Problem 7273

Identify the property of real numbers in the equation: $-5[(-7y)+6y^2]=35y+(-30y^2)$ .

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Problem 7274

Solve the system of linear equations: $\frac{|4 x-2|}{5}=10$ and $-2|x-7|=-12$ .

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Problem 7275

Simplify the expression $(x+10)^{2}$ .

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Problem 7276

Find the derivative of $f(x) = \frac{x}{x-16}$ and simplify. Identify the correct application of the quotient rule.

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Problem 7277

Solve the quadratic equation $0=-2(5 x-1)(3 x+4)$ for real values of $x$ .

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Problem 7278

Find the value of $A$ if $g(t) = \frac{2t - 9}{t - A}$ and $g(3) = 3$ . $A = \square$

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Problem 7279

Stopping distance of car at $30$ mph is $y=2(30)+15$ , where $y$ is stopping distance in feet. What is the stopping distance?

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Problem 7280

Find the value of $x$ given the equation $-\frac{1}{3} \ln x = y$ .

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Problem 7281

Reflect point $A(5,-1)$ over $x$ -axis, then $y$ -axis. Find the coordinates of the final point $A^{\prime \prime}$ .

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Problem 7282

Solve the inequality $2|x-8|+4<13$ , and express the solution in the form $x<A$ or $x>B$ , where $A<x<B$ .

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Problem 7283

Find the value of $3x+5$ and $6+8x$ when $x=3$ .

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Problem 7284

Solve the linear equation $\frac{y}{5}-7=-2 x$ for $x$ and $y$ .

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Problem 7285

Find the value of $x$ given the following equations: $x^{\circ} = 180^{\circ} - 50^{\circ} - 60^{\circ}$ , $x^{2}$ , $x = \sqrt{1} +$ , and $\doteq$ .

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Problem 7286

Find the domain and range of the inverse function $f^{-1}(x)$ where $f(x) = \sqrt{\ln x} + 2$ .

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Problem 7287

Find the equation where dividing both sides by 2 and then subtracting 10 is the correct order of steps. $10(x+2)=16$ , $2(x-10)=16$ , $2x+10=16$ , $2(x+10)=16$ .

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Problem 7288

Find the equivalent logarithmic equation for the exponential equation $12=5^{x}$ .

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Problem 7289

Solve linear equations with one or two variables. Find the value of an expression given a value for the variable.
a. Solve: $5x+2=10$ b. Find $5x+2$ when $x=-3$ c. Solve for $y: 5x+2y=10$ d. Solve for $x: 5x+2y=10$

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Problem 7290

Verify that $(6+4)+y=6+(4+y)$ is true when $y=5$ by substituting and simplifying both sides.

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Problem 7291

Find the function with the longest period from $y=6 \sin (3 x)+20$ , $y=8 \cos (2 x)-4$ , $y=7 \cos (\pi x)+13$ , $y=2 \sin (0.5 x)-11$ . To make a sprinkler with period $\frac{6}{5} \mathrm{~s}$ , the value of $k$ in $15 \sin (k t)$ should be $\frac{5 \pi}{3}$ .

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Problem 7292

Find the original salary before a 9% raise, given the current salary of $50,031.

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Problem 7293

Solve the division problem: $-1.47 \div(-3)=0.49$

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Problem 7294

Simplify $\frac{25}{30}$ to lowest terms by factoring the numerator and denominator.

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Problem 7295

Find the equation of a parabola given its vertex at $(1, -3)$ and a point it passes through at $(0, \frac{7}{2})$ .

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Problem 7296

Subtract two fractions with different denominators, then simplify the result. $\frac{4}{7y^2} - \frac{6}{5y}$

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Problem 7297

Find the number of elements in set $A$ but not in set $B$ , given $|S| = 124$ , $|A| = 55$ , $|B| = 66$ , and $|A \cup B| = 91$ .

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Problem 7298

Find the mortgage amount given a $22,750 down payment on a$ 325,000 property.

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Problem 7299

Find the range of the sound loudness estimates (in decibels) with a mean of $70$ : $68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68$ .

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Problem 7300

Find the quadratic equation's roots: $y = -\frac{1}{2}x^2 - 2x + \frac{7}{10}$

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Math

Problem 7201

Find the equation of the linear function passing through the point (x,y)=(−4,6)(x, y) = (-4, 6)(x,y)=(−4,6) with slope 222.

Problem 7202

Solve for the value of vvv given the equation v−38=−34v-\frac{3}{8}=-\frac{3}{4}v−83​=−43​.

Problem 7203

Describe the translation from y=2(x−15)2+3y=2(x-15)^{2}+3y=2(x−15)2+3 to y=2(x−11)2+3y=2(x-11)^{2}+3y=2(x−11)2+3: 4 units to the left

Problem 7204

Solve the linear equation 2+r=7+6r2+r=7+6r2+r=7+6r for the unknown variable rrr.

Problem 7205

Encuentra la solución de la ecuación y=−57x+7y=-\frac{5}{7} x+7y=−75​x+7 cuando x=7x=7x=7.

Problem 7206

Find values of x that satisfy the inequality 17>−2x+1117 > -2x + 1117>−2x+11. Circle all applicable options: 111\frac{1}{11}111​, −2917-2 \frac{9}{17}−2179​, −349-3 \frac{4}{9}−394​.

Problem 7207

Find the value of xxx that satisfies the equation (1+7)(4+1x)=15−2.5(x+1)(1+7)(4+1x) = 15 - 2.5(x+1)(1+7)(4+1x)=15−2.5(x+1), rounded to two decimal places.

Problem 7208

Evaluate 710−98\frac{7}{10}-\frac{9}{8}107​−89​ and write the answer as a simplified fraction.

Problem 7209

Find the missing value in the given expression: 3×22×8=3×□×8=□×8=□3 \times 2^{2} \times 8 = 3 \times \square \times 8 = \square \times 8 = \square3×22×8=3×□×8=□×8=□.

Problem 7210

Start with 3, multiply by 3 to find the next 3 numbers in the pattern. Find 3×3,3×3×3,3×3×3×33 \times 3, 3 \times 3 \times 3, 3 \times 3 \times 3 \times 33×3,3×3×3,3×3×3×3.

Problem 7211

Find the function representing the direct variation between xxx and yyy given that y=14y=14y=14 when x=6x=6x=6.

Problem 7212

Solve the inequality 4x−5<04x-5<04x−5<0 for real values of xxx.

Problem 7213

Find the value of p(0)p(0)p(0) when p(z)=2z3−5zp(z)=2z^3-5zp(z)=2z3−5z.

Problem 7214

Find the median weight of a sample of 13 male 11th graders with weights 152,165,140,150,175,142,172,171,156,158,168,146,160152, 165, 140, 150, 175, 142, 172, 171, 156, 158, 168, 146, 160152,165,140,150,175,142,172,171,156,158,168,146,160 pounds.

Problem 7215

Solve the inequality 5x+10>305x + 10 > 305x+10>30 and select the correct solution.

Problem 7216

Identify the starting value and rate of change of the linear equation y=7x−2y=7x-2y=7x−2.

Problem 7217

A company estimates 0.9%0.9\%0.9% of products fail within 2 years after warranty. Replacement cost is $500\$ 500$500. What is the expected value of a $80\$ 80$80 2-year extended warranty?

Problem 7218

Find the number(s) xxx such that 2x2−12=−5x2x^2 - 12 = -5x2x2−12=−5x.

Problem 7219

Find the x-intercept of the trend line y=−0.13x+11.2y=-0.13x+11.2y=−0.13x+11.2. Determine if the x-intercept is plausible in a real-world scenario and explain.

Problem 7220

Estimate the product of 19×2719 \times 2719×27 and round the result to the nearest integer xxx.

Problem 7221

A scuba diver dove 404040 feet, then 171717 more feet. Find the total depth using an equation.

Problem 7222

Evaluate the indefinite integral of sin⁡(ln⁡x)\sin(\ln x)sin(lnx) with respect to xxx.

Problem 7223

Solve 14÷8\frac{1}{4} \div 841​÷8. Options: A. 132\frac{1}{32}321​ B. 48\frac{4}{8}84​ C. 2 D. 32

Problem 7224

Trouve l'ensemble de nombres quantiques non permis et modifie un nombre pour obtenir un ensemble permis. n=1,l=2,ml=−2n=1, l=2, m_{l}=-2n=1,l=2,ml​=−2 ou n=4,l=1,ml=−2n=4, l=1, m_{l}=-2n=4,l=1,ml​=−2

Problem 7225

Find the value of xxx that satisfies the equation 4x=1244x=1244x=124.

Problem 7226

Find the solutions to the equation ln⁡(x−2)=1\ln(x-2)=1ln(x−2)=1, where x>2x>2x>2.

Problem 7227

Describe the graph of the geometric sequence 640,160,40,10,…640, 160, 40, 10, \ldots640,160,40,10,…. Select two: (1) Graph shows exponential growth, (2) Graph appears linear, (3) Domain is natural numbers, (4) Range is natural numbers, (5) Graph shows exponential decay.

Problem 7228

Evaluate the expression 16(36÷132)+42÷8\frac{1}{6}\left(\sqrt{36} \div \frac{1}{3^{2}}\right)+4^{2} \div 861​(36​÷321​)+42÷8 and provide the value.

Problem 7229

Solve the equation −2(x+11)=−8-2(x+11)=-8−2(x+11)=−8 to find the value of xxx.

Problem 7230

Solve the linear equation y−5=0y-5=0y−5=0 for the value of yyy.

Problem 7231

Identify the scale factor between two similar right triangles given the lengths of corresponding sides are 20 and 60.

Problem 7232

Solve the equation 0.73=n0.7^{3}=n0.73=n for the value of nnn.

Problem 7233

Find an equation for a number plus 5.1 equals 8.8, using variable nnn.

Problem 7234

Find the average of 7 and 34\frac{3}{4}43​.

Problem 7235

Find the value of www given that w3=0.5\frac{w}{3} = 0.53w​=0.5.

Problem 7236

Solve for yyy in the linear equation 3y−8y=253y - 8y = 253y−8y=25.

Problem 7237

Solve the equation 3.5(2.25+x)=143.5(2.25+x)=143.5(2.25+x)=14 for xxx.

Problem 7238

Find the current iii at time t=3t=3t=3 seconds given q=74t+740e−10tq=\frac{7}{4} t+\frac{7}{40} e^{-10 t}q=47​t+407​e−10t where i=dqdti=\frac{d q}{d t}i=dtdq​.

Problem 7239

Determine the properties of the polynomial 1+7x21+7x^21+7x2, including the constant term, leading term, and leading coefficient.

Problem 7240

Find the equation of the linear function passing through the point $(x, y) = (-4, 6)$ with slope $2$ .

Solve for the value of $v$ given the equation $v-\frac{3}{8}=-\frac{3}{4}$ .

Describe the translation from $y=2(x-15)^{2}+3$ to $y=2(x-11)^{2}+3$ : 4 units to the left

Solve the linear equation $2+r=7+6r$ for the unknown variable $r$ .

Encuentra la solución de la ecuación $y=-\frac{5}{7} x+7$ cuando $x=7$ .

Find values of x that satisfy the inequality $17 > -2x + 11$ . Circle all applicable options: $\frac{1}{11}$ , $-2 \frac{9}{17}$ , $-3 \frac{4}{9}$ .

Find the value of $x$ that satisfies the equation $(1+7)(4+1x) = 15 - 2.5(x+1)$ , rounded to two decimal places.

Evaluate $\frac{7}{10}-\frac{9}{8}$ and write the answer as a simplified fraction.

Find the missing value in the given expression: $3 \times 2^{2} \times 8 = 3 \times \square \times 8 = \square \times 8 = \square$ .

Start with 3, multiply by 3 to find the next 3 numbers in the pattern. Find $3 \times 3, 3 \times 3 \times 3, 3 \times 3 \times 3 \times 3$ .

Find the function representing the direct variation between $x$ and $y$ given that $y=14$ when $x=6$ .

Solve the inequality $4x-5<0$ for real values of $x$ .

Find the value of $p(0)$ when $p(z)=2z^3-5z$ .

Find the median weight of a sample of 13 male 11th graders with weights $152, 165, 140, 150, 175, 142, 172, 171, 156, 158, 168, 146, 160$ pounds.

Solve the inequality $5x + 10 > 30$ and select the correct solution.

Identify the starting value and rate of change of the linear equation $y=7x-2$ .

A company estimates $0.9\%$ of products fail within 2 years after warranty. Replacement cost is $\$ 500$ . What is the expected value of a $\$ 80$ 2-year extended warranty?

Find the number(s) $x$ such that $2x^2 - 12 = -5x$ .

Find the x-intercept of the trend line $y=-0.13x+11.2$ . Determine if the x-intercept is plausible in a real-world scenario and explain.

Estimate the product of $19 \times 27$ and round the result to the nearest integer $x$ .

A scuba diver dove $40$ feet, then $17$ more feet. Find the total depth using an equation.

Evaluate the indefinite integral of $\sin(\ln x)$ with respect to $x$ .

Solve $\frac{1}{4} \div 8$ . Options: A. $\frac{1}{32}$ B. $\frac{4}{8}$ C. 2 D. 32

Trouve l'ensemble de nombres quantiques non permis et modifie un nombre pour obtenir un ensemble permis. $n=1, l=2, m_{l}=-2$ ou $n=4, l=1, m_{l}=-2$

Find the value of $x$ that satisfies the equation $4x=124$ .

Find the solutions to the equation $\ln(x-2)=1$ , where $x>2$ .

Describe the graph of the geometric sequence $640, 160, 40, 10, \ldots$ . Select two: (1) Graph shows exponential growth, (2) Graph appears linear, (3) Domain is natural numbers, (4) Range is natural numbers, (5) Graph shows exponential decay.

Evaluate the expression $\frac{1}{6}\left(\sqrt{36} \div \frac{1}{3^{2}}\right)+4^{2} \div 8$ and provide the value.

Solve the equation $-2(x+11)=-8$ to find the value of $x$ .

Solve the linear equation $y-5=0$ for the value of $y$ .

Solve the equation $0.7^{3}=n$ for the value of $n$ .

Find an equation for a number plus 5.1 equals 8.8, using variable $n$ .

Find the average of 7 and $\frac{3}{4}$ .

Find the value of $w$ given that $\frac{w}{3} = 0.5$ .

Solve for $y$ in the linear equation $3y - 8y = 25$ .

Solve the equation $3.5(2.25+x)=14$ for $x$ .

Find the current $i$ at time $t=3$ seconds given $q=\frac{7}{4} t+\frac{7}{40} e^{-10 t}$ where $i=\frac{d q}{d t}$ .

Determine the properties of the polynomial $1+7x^2$ , including the constant term, leading term, and leading coefficient.

Find the 25th term of the sequence $12, 9, 6, 3, \ldots$

Solve for $m$ in the equation $-64=m^{3}$ . Express the solution in simplest radical form.

Solve the equation $2^{(x-1)(x+2)(x-7)(x+8)}=1$ .

Drag the points on the line to show the ordered pairs that satisfy $y = -3x + 2$ .

Find the distance between two points where a boat's crew measured the angle of elevation to a lighthouse beacon at $11^{\circ}$ and $22^{\circ}$ , given the beacon is $104$ feet above the water.

Find the number $x$ such that $-3x - 5 > 125$ . Which inequality represents the solution set for $x$ ?

Analyze the end behavior of $f(x) = 12x + 144 - 6x^2$ as $x \rightarrow \pm \infty$ .

Find the missing digit $x$ in the pattern formed by the numbers in the outer and inner columns. $8 \ x \ 6 \ 2$

Find the solutions to the absolute value equation $|x| + 10 = 1$ .

Find the ratio of $x$ to $y$ given the equation $3x = 7y$ .

Determine which equation is in standard form: a. $x+3=-5y$ , b. $5-y=x$ , c. $y=3x+6$ , d. $-8x+3y=12$ .

Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. $\{1, 2, 3\}$

Solve the quadratic inequality $x^{2} - 4x + 3 \leq 0$ by graphing.

Simplify the expression $9 \sqrt{5} + \sqrt{45}$ .

Find the value of $w$ when $a=20$ , given $w=\frac{a}{4}+3$ .

Determine the number of light bulbs needed for 15 chandeliers given the function $b(n)=6n$ .

Analyze the end behavior of the function $h(x)=-\frac{5 x^{3}}{11 x-2}$ using limit notation.

Solve for $x$ in the equation $x-4=-2x+9$ . Round to the nearest tenth if necessary.

Solve the absolute value equation $|b+4|-2=4$ .

Find the equation of the perpendicular bisector of line segment between points $A(-3,4)$ and $B(5,2)$ . $y=4x-1$

Find the antiderivative $F(x)$ of $f(x) = 2x + 7$ given $F(1) = 8$ , then calculate the exact value of $F(2)$ .

Solve for $y$ in the equation $-6=-\frac{4}{3}y$ .

Solve for $x$ in the linear equation $8x + 3 = 6x - 9$ , then evaluate $3x - 2$ .

Find the base $\mathrm{x}$ where $135_{10}=343_\mathrm{x}$

Convert the Statue of Liberty's height of $151 \mathrm{ft}$ to meters.

Solve the equation $9-|5x+1|=9$ and provide the solution(s) as a comma-separated list. If there is no solution, enter "NO SOLUTION".

Three baseball players are playing catch. Find the distance Franco needs to throw the ball to reach Elijah, given their positions. Round to nearest tenth if needed. $\sqrt{3^2 + 5^2}$ meters.

Find the values of $y$ for $x = -2$ and $x = -1$ when $y = 2x$ .

Identify the property of real numbers in the equation: $-5[(-7y)+6y^2]=35y+(-30y^2)$ .

Solve the system of linear equations: $\frac{|4 x-2|}{5}=10$ and $-2|x-7|=-12$ .