Math

Problem 2301

Solve for $x$ in the equation: " $x$ plus 21 minus 10 equals 20".

See Solution

Problem 2302

Find the concavity of the graph with $x=t^{3}+1$ and $y=t^{4}+t$ at $t=1$ .

See Solution

Problem 2303

Find the area of a triangle with side lengths $b=26$ , $a=15$ , and $c=27$ . Round the area to the nearest hundredth.

See Solution

Problem 2304

Solve the linear equation $2m + 1 = 9$ for the value of $m$ .

See Solution

Problem 2305

Describe the transformation of $f(x) = \frac{1}{2}x - 2$ to have slope 2 and $y$ -intercept -8.

See Solution

Problem 2306

Determine if the point $(5,5)$ satisfies the equation $y=x$ .

See Solution

Problem 2307

Convert robin's weight from ounces to pounds: $1 \text{ pound} = 16 \text{ ounces}$ , so a female robin weighing 4 ounces is $\frac{4}{16} = \frac{1}{4} \text{ pounds}$ .

See Solution

Problem 2308

Find the true statements about the polynomial $f(x) = x^{2} - 12x + 36$ . Options: A) Two distinct linear factors, B) Roots at $x = \pm 6$ , C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

See Solution

Problem 2309

Solve $2.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}$ for $t$ .

See Solution

Problem 2310

Find the number $x$ such that $3.3 + 6x = 53.1$ .

See Solution

Problem 2311

Find the difference of $-4$ and $-5$ .

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Problem 2312

A raffle ticket costs $3 with 1 winning ticket out of 200 sold. The winner gets an$ 80 prize. What is the expected value of 1 or 6 tickets? What is the expected total raised?
Expected value of 1 ticket: $(\$80)(1/200) - \$3 = \$0.40 Expected value of 6 tickets:$ (\ $80)(6/200) - \$18 = \$2.40 Expected total raised:$ (200)(\$3) = \$600

See Solution

Problem 2313

Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

See Solution

Problem 2314

Graph $g(x) = 1 + \log_2(x + 3)$ . Plot 2 points, draw asymptote, then graph. Provide domain and range in interval notation.

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Problem 2315

Find the $y$ -value of the solution to the system of equations created by the line $3x-2y=-4$ and the line passing through the points $(-3,-9), (-1,-5), (3,3), (5,7)$ .

See Solution

Problem 2316

Simplify the ratio $\sqrt{32} : \sqrt{50}$ .

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Problem 2317

Find the value of $a$ that satisfies the equation $6^{7}=a$ .

See Solution

Problem 2318

Calculate $3.4 \times 10^{5} \times 2 \times 10^{-3}$ and express the result in standard form.

See Solution

Problem 2319

Find the product of $(2 \sqrt{7}+3 \sqrt{6})$ and $(5 \sqrt{2}+4 \sqrt{3})$ .

See Solution

Problem 2320

What mathematical operations are not allowed? $\{ \text{Divide by zero}, \text{Have a numerator only containing zero} \}$

See Solution

Problem 2321

Graph the solution set of the linear inequalities system: $x + 4y \leq 8$ and $y \geq x - 2$ .

See Solution

Problem 2322

Simplify the expression $2(-12x - \frac{3}{2}) + 4x$ .

See Solution

Problem 2323

Find the value of $q$ that satisfies the equation $68=5+9q$ . The solutions are $q=7$ and $q=9$ .

See Solution

Problem 2324

Find the error in Franco's multiplication of $550 \times 80$ and calculate the correct product.

See Solution

Problem 2325

Find the equation with zeros at -3 and 4: $x^2 - x - 12 = 0$

See Solution

Problem 2326

Finn is making muffins. The recipe calls for $1 \frac{5}{6}$ cups of flour. If he triples the recipe, how much flour does he need in total?

See Solution

Problem 2327

Solve the quadratic equation $2 d^{2} + 14 d - 16 = 0$ and select the correct solution.

See Solution

Problem 2328

How many days will a prescription for 360 tablets taken 3 times daily last?

See Solution

Problem 2329

Solve the linear equation $42,000+3,000 x=90,000-5,000 x$ for $x$ .

See Solution

Problem 2330

Find the linear approximation to $g(x)=\sqrt[4]{x}$ at $x=2$ . Use it to approximate $\sqrt[4]{3}$ and $\sqrt[4]{10}$ . Compare to exact values. Analyze percent error and accuracy.

See Solution

Problem 2331

Find the cost of 1 week of African dance lessons given that 2 months of lessons cost $\$ 176$ and each month includes 4 weeks.

See Solution

Problem 2332

Solve the equation $6.8x + 9.3 = -9.4 + 3.4(2 - 5x)$ by distributing, combining terms, and applying properties.

See Solution

Problem 2333

Determine which values satisfy the inequality $\frac{2}{5} y - 13 > -15$ and mark them in the table.

See Solution

Problem 2334

Solve the following linear equations: $-6 x=18$ , $x-3=12$ , $-\frac{x}{4}=3$ .

See Solution

Problem 2335

Find the $t$ -value with 12 degrees of freedom such that the right-tailed area is 0.05. Round to 3 decimal places.

See Solution

Problem 2336

Solve the system of equations: $x^2 + y^2 = 16$ and $x - y = 2$ .

See Solution

Problem 2337

Match each linear equation with an equivalent equation. Some choices are not used. A. $3x+6=4x+7$ B. $3(x+6)=4x+7$ C. $4x+3x=7-6$

See Solution

Problem 2338

Найдите наклон и точку, через которую проходит прямая линия, заданная уравнением $y - x = 8$ .

See Solution

Problem 2339

Redefine a claim's complement and identify $H_0$ and $H_a$ . The claim is $\mu \geq 508$ . The complement is $\mu < 508$ . $H_0: \mu \geq 508$ , $H_a: \mu < 508$ .

See Solution

Problem 2340

Solve the quadratic equation $6 x^{2} - 13 x + 5 = 0$ and find the four possible solutions for $x$ .

See Solution

Problem 2341

The rabbit population increased by 200% from last year. There are 1,300 rabbits this year. How many were there last year? Complete the percent proportion: $\frac{1,300}{w} = \frac{200}{100}$ . There were $650$ rabbits last year.

See Solution

Problem 2342

Correct the error in the equation $2(x-4y)+3y=2x+11y$ . Choose the answer that fixes the error.

See Solution

Problem 2343

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

See Solution

Problem 2344

Determine the 90% confidence interval for the true mean weight of a population of dogs, given the sample mean of 69 ounces and population standard deviation of 5.1 ounces.

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Problem 2345

Find the expression with rational exponents that equals $\sqrt[4]{81 x^{3} y^{4} z^{8}}$ .

See Solution

Problem 2346

Find the value of the expression $-(3)^{4}$ .

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Problem 2347

Determine if two planes always, sometimes, or never intersect in a line. Explain. $\{$ sometimes, two planes can intersect in a line or single point $\}$ .

See Solution

Problem 2348

Find the value of $x$ in the equation $15+x=27$ .

See Solution

Problem 2349

Find the value of $x$ that satisfies the equation $3 = (2x + 27)^{1/4}$ .

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Problem 2350

Find the length of the line segment between the points $D(3, -5)$ and $E(-6, -7)$ .

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Problem 2351

Find the value of $u$ given the equation $1 = \frac{u}{2}$ . Also, find the value of $w$ .

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Problem 2352

Convert 320 cubic feet to cubic yards (rounded to one decimal place).

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Problem 2353

$n$ such that $n \geq 4$

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Problem 2354

Find the relationship between hundredths, thousandths, and their corresponding units.
$1$ hundredth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit $1$ thousandth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit

See Solution

Problem 2355

Find the value of $X^2$ in the equation $m=\frac{(2-(-7))}{((-4)-(-6))}$ .

See Solution

Problem 2356

Find the solutions to the equation $(x-32)^{2}=56$ given $x= \pm 2 \sqrt{ } 22$ , $x= \pm 2 \sqrt{ } 6$ , $x=4 \sqrt{5} \pm 2 \sqrt{ } 14$ , and $x=32 \pm 2 \sqrt{ } 14$ .

See Solution

Problem 2357

Find the ordered pairs $(x, y)$ that satisfy the equation $f(x) = x^2 - 9 = y$ .

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Problem 2358

Solve the linear equation $3(9-8x-4x)+8(3x+4)=11$ and select the correct solution.

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Problem 2359

Determine if the following statements are true, false, or open: a. $-4(5 x)=12$ b. $4 \times 6=24$ c. $a+4=6$ , when $a=2$ d. $4 x=19$ , when $x$ equals 5

See Solution

Problem 2360

Solve $-225 \div(-15)$ and determine the reasonableness of the answer using operations like $-25 \div(-10)$ or $-25 \times(-10)$ .

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Problem 2361

Find the equation that best fits the data set {(-4,-4.8),(-3,-8.2),(-2,-9.1),(-1,-8.1),(0,-4.7),(1,0.3)}. (a) $y=1.1x+4.2$ (b) $y=1.1x^2+4.2x+4.9$ (c) $y=1.1x^2+4.2x-4.9$ (d) $y=1.1x-4.2$

See Solution

Problem 2362

Solve for $k$ in the equation $7(9+k)=84$ .

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Problem 2363

Find the value of $f(1)$ where $f(x) = \sqrt[3]{x} - 4$ .

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Problem 2364

Simplify $\frac{x^{-3}}{x^{2}}$ . Express $\log x^{3} - \log y^{2}$ as a single $\log$ expression.

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Problem 2365

Solve the linear equation $\frac{x}{3} + 10 = 15$ for the value of $x$ .

See Solution

Problem 2366

Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

See Solution

Problem 2367

Expand the expression $3(x-8)$ and simplify the result.

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Problem 2368

Find $y$ varies directly with $x$ . If $x=5$ then $y=15$ . Determine the constant of variation $k$ .

See Solution

Problem 2369

Solve $4 \cos^3(2x) + 2 \cos^2(2x) - 2 \cos(2x) - 1 = 0$ for $x$ in $[0, 360^\circ)$ .

See Solution

Problem 2370

Which of these statements is true about the quadratic functions $f(x)=-15 x^{2}+32$ and $g(x)=-17 x^{2}+5 x+32$ ?

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Problem 2371

Find the result of the division $5 \div 4$ .

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Problem 2372

Simplify the following fraction multiplications: $\frac{1}{2} \times \frac{6}{7}$ and $\frac{5}{6} \times \frac{3}{9}$ .

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Problem 2373

Determine how many rectangular prism-shaped concrete bricks a company made given the brick dimensions and total concrete volume used.
$13 \text{ in} \times 5 \text{ in} \times 4 \text{ in}$ brick dimensions, $11,700 \mathrm{in}^{3}$ concrete volume.

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Problem 2374

Find the x-intercept, y-intercept, and rotational symmetry of the function $f(x)=-(x+3)^{3}+2$ .

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Problem 2375

Solve for $y$ where $|3y+6|=12$ . Solutions: $y=-6, y=2$ .

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Problem 2376

A client was prescribed codeine $1 / 2$ grain every 4 hours. How many milligrams of codeine per dose?

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Problem 2377

Maria has $20 to buy goldfish. Each goldfish costs$ 3. How many goldfish can she buy?

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Problem 2378

Solve the absolute value equation $|3x-1| = 10$ for the real number value(s) of $x$ .

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Problem 2379

Solve for $d$ in the equation $30-\frac{d}{3}=18$ .

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Problem 2380

Solve the linear equation $-16y = -32$ to find the value of $y$ .

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Problem 2381

Simplify the expression $5/6 \div 1/2$ and reduce to lowest terms if possible.

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Problem 2382

Solve the equation $6-2|3x+5|=0$ for $x$ . The solution(s) are integer(s) or reduced fraction(s).

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Problem 2383

Find the first derivative of $y = (2 - 9x^2 - 14x^3)^5$ using the chain rule.

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Problem 2384

Find the correct statement about the exponential function $k(x)=5\left(\frac{2}{7}\right)^{x}$ : A) Increasing, concave up B) Increasing, concave down C) Decreasing, concave up D) Decreasing, concave down.

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Problem 2385

Add the mixed numbers in lowest terms. $3 \frac{3}{4} + 1 \frac{3}{4} = 5 \frac{1}{2}$

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Problem 2386

Monthly rents of 10 people change when one person's rent decreases from $1630 to$ 1230. How does the median and mean change?

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Problem 2387

Solve for the value of $26.4 \div 0.01$ .

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Problem 2388

Determine the type of system of linear equations with equations $y=\frac{1}{2} x-\frac{5}{2}$ and $y=x-2$ .

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Problem 2389

Find an expression for the number of permutations of 3 items from $n$ items without using factorial notation.

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Problem 2390

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=\frac{1}{x}$ and $g(x)=2 \sin (x)$ .

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Problem 2391

Find the five-number summary for the gold, silver, and bronze medals won by 19 countries at the 2012 London Olympics: $1, 3, 7, 13, 46$ (gold), $1, 5, 9, 16, 29$ (silver), and $4, 7, 9, 12, 32$ (bronze).

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Problem 2392

Find the value of $\frac{\pi}{2}-\frac{3 \pi}{10}$ .

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Problem 2393

Solve the inequality $x^{2} < x + 12$ and express the answer using interval notation.

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Problem 2394

Simplify the expression $(6 z-i)^{2}$ as a trinomial.

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Problem 2395

Solve for $x$ where $2\sqrt{x-2}=8$ , presented in tabular form.

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Problem 2396

Choose a system of linear equations to represent the growth of a $4$ inch per year spruce tree and a $6$ inch per year hemlock tree with initial heights of $14$ inches and $8$ inches, respectively.

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Problem 2397

Solve the system of linear equations represented by the given augmented matrix using Gauss-Jordan method. Perform the row operations and find the values of $x$ , $y$ , and $z$ .

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Problem 2398

Translate a right triangle 4 left and 6 up. Show $\triangle$ transformation.

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Problem 2399

Find the inverse function of the vertically dilated logarithmic function with base 10 and vertical asymptote at $x=2$ .

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Problem 2400

Solve the linear equation $-x-2(9-8x)=12$ for the unknown variable $x$ .

See Solution

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Math

Problem 2301

Solve for xxx in the equation: "xxx plus 21 minus 10 equals 20".

Problem 2302

Find the concavity of the graph with x=t3+1x=t^{3}+1x=t3+1 and y=t4+ty=t^{4}+ty=t4+t at t=1t=1t=1.

Problem 2303

Find the area of a triangle with side lengths b=26b=26b=26, a=15a=15a=15, and c=27c=27c=27. Round the area to the nearest hundredth.

Problem 2304

Solve the linear equation 2m+1=92m + 1 = 92m+1=9 for the value of mmm.

Problem 2305

Describe the transformation of f(x)=12x−2f(x) = \frac{1}{2}x - 2f(x)=21​x−2 to have slope 2 and yyy-intercept -8.

Problem 2306

Determine if the point (5,5)(5,5)(5,5) satisfies the equation y=xy=xy=x.

Problem 2307

Convert robin's weight from ounces to pounds: 1 pound=16 ounces1 \text{ pound} = 16 \text{ ounces}1 pound=16 ounces, so a female robin weighing 4 ounces is 416=14 pounds\frac{4}{16} = \frac{1}{4} \text{ pounds}164​=41​ pounds.

Problem 2308

Find the true statements about the polynomial f(x)=x2−12x+36f(x) = x^{2} - 12x + 36f(x)=x2−12x+36. Options: A) Two distinct linear factors, B) Roots at x=±6x = \pm 6x=±6, C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

Problem 2309

Solve 2.4−3t⋅2.4−5=2.4112.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}2.4−3t⋅2.4−5=2.411 for ttt.

Problem 2310

Find the number xxx such that 3.3+6x=53.13.3 + 6x = 53.13.3+6x=53.1.

Problem 2311

Find the difference of −4-4−4 and −5-5−5.

Problem 2312

Problem 2313

Find the value of aaa when 5a−10b=455a - 10b = 455a−10b=45 and b=3b = 3b=3.

Problem 2314

Graph g(x)=1+log⁡2(x+3)g(x) = 1 + \log_2(x + 3)g(x)=1+log2​(x+3). Plot 2 points, draw asymptote, then graph. Provide domain and range in interval notation.

Problem 2315

Find the yyy-value of the solution to the system of equations created by the line 3x−2y=−43x-2y=-43x−2y=−4 and the line passing through the points (−3,−9),(−1,−5),(3,3),(5,7)(-3,-9), (-1,-5), (3,3), (5,7)(−3,−9),(−1,−5),(3,3),(5,7).

Problem 2316

Simplify the ratio 32:50\sqrt{32} : \sqrt{50}32​:50​.

Problem 2317

Find the value of aaa that satisfies the equation 67=a6^{7}=a67=a.

Problem 2318

Calculate 3.4×105×2×10−33.4 \times 10^{5} \times 2 \times 10^{-3}3.4×105×2×10−3 and express the result in standard form.

Problem 2319

Find the product of (27+36)(2 \sqrt{7}+3 \sqrt{6})(27​+36​) and (52+43)(5 \sqrt{2}+4 \sqrt{3})(52​+43​).

Problem 2320

What mathematical operations are not allowed? {Divide by zero,Have a numerator only containing zero}\{ \text{Divide by zero}, \text{Have a numerator only containing zero} \}{Divide by zero,Have a numerator only containing zero}

Problem 2321

Graph the solution set of the linear inequalities system: x+4y≤8x + 4y \leq 8x+4y≤8 and y≥x−2y \geq x - 2y≥x−2.

Problem 2322

Simplify the expression 2(−12x−32)+4x2(-12x - \frac{3}{2}) + 4x2(−12x−23​)+4x.

Problem 2323

Find the value of qqq that satisfies the equation 68=5+9q68=5+9q68=5+9q. The solutions are q=7q=7q=7 and q=9q=9q=9.

Problem 2324

Find the error in Franco's multiplication of 550×80550 \times 80550×80 and calculate the correct product.

Problem 2325

Find the equation with zeros at -3 and 4: x2−x−12=0x^2 - x - 12 = 0x2−x−12=0

Problem 2326

Finn is making muffins. The recipe calls for 1561 \frac{5}{6}165​ cups of flour. If he triples the recipe, how much flour does he need in total?

Problem 2327

Solve the quadratic equation 2d2+14d−16=02 d^{2} + 14 d - 16 = 02d2+14d−16=0 and select the correct solution.

Problem 2328

How many days will a prescription for 360 tablets taken 3 times daily last?

Problem 2329

Solve the linear equation 42,000+3,000x=90,000−5,000x42,000+3,000 x=90,000-5,000 x42,000+3,000x=90,000−5,000x for xxx.

Problem 2330

Find the linear approximation to g(x)=x4g(x)=\sqrt[4]{x}g(x)=4x​ at x=2x=2x=2. Use it to approximate 34\sqrt[4]{3}43​ and 104\sqrt[4]{10}410​. Compare to exact values. Analyze percent error and accuracy.

Problem 2331

Find the cost of 1 week of African dance lessons given that 2 months of lessons cost $176\$ 176$176 and each month includes 4 weeks.

Problem 2332

Solve the equation 6.8x+9.3=−9.4+3.4(2−5x)6.8x + 9.3 = -9.4 + 3.4(2 - 5x)6.8x+9.3=−9.4+3.4(2−5x) by distributing, combining terms, and applying properties.

Problem 2333

Determine which values satisfy the inequality 25y−13>−15\frac{2}{5} y - 13 > -1552​y−13>−15 and mark them in the table.

Problem 2334

Solve the following linear equations: −6x=18-6 x=18−6x=18, x−3=12x-3=12x−3=12, −x4=3-\frac{x}{4}=3−4x​=3.

Problem 2335

Find the ttt-value with 12 degrees of freedom such that the right-tailed area is 0.05. Round to 3 decimal places.

Problem 2336

Solve the system of equations: x2+y2=16x^2 + y^2 = 16x2+y2=16 and x−y=2x - y = 2x−y=2.

Problem 2337

Match each linear equation with an equivalent equation. Some choices are not used. A. 3x+6=4x+73x+6=4x+73x+6=4x+7 B. 3(x+6)=4x+73(x+6)=4x+73(x+6)=4x+7 C. 4x+3x=7−64x+3x=7-64x+3x=7−6

Problem 2338

Найдите наклон и точку, через которую проходит прямая линия, заданная уравнением y−x=8y - x = 8y−x=8.

Problem 2339

Redefine a claim's complement and identify H0H_0H0​ and HaH_aHa​. The claim is μ≥508\mu \geq 508μ≥508. The complement is μ<508\mu < 508μ<508. H0:μ≥508H_0: \mu \geq 508H0​:μ≥508, Ha:μ<508H_a: \mu < 508Ha​:μ<508.

Problem 2340

Solve the quadratic equation 6x2−13x+5=06 x^{2} - 13 x + 5 = 06x2−13x+5=0 and find the four possible solutions for xxx.

Solve for $x$ in the equation: " $x$ plus 21 minus 10 equals 20".

Find the concavity of the graph with $x=t^{3}+1$ and $y=t^{4}+t$ at $t=1$ .

Find the area of a triangle with side lengths $b=26$ , $a=15$ , and $c=27$ . Round the area to the nearest hundredth.

Solve the linear equation $2m + 1 = 9$ for the value of $m$ .

Describe the transformation of $f(x) = \frac{1}{2}x - 2$ to have slope 2 and $y$ -intercept -8.

Determine if the point $(5,5)$ satisfies the equation $y=x$ .

Convert robin's weight from ounces to pounds: $1 \text{ pound} = 16 \text{ ounces}$ , so a female robin weighing 4 ounces is $\frac{4}{16} = \frac{1}{4} \text{ pounds}$ .

Find the true statements about the polynomial $f(x) = x^{2} - 12x + 36$ . Options: A) Two distinct linear factors, B) Roots at $x = \pm 6$ , C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

Solve $2.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}$ for $t$ .

Find the number $x$ such that $3.3 + 6x = 53.1$ .

Find the difference of $-4$ and $-5$ .

Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

Graph $g(x) = 1 + \log_2(x + 3)$ . Plot 2 points, draw asymptote, then graph. Provide domain and range in interval notation.

Find the $y$ -value of the solution to the system of equations created by the line $3x-2y=-4$ and the line passing through the points $(-3,-9), (-1,-5), (3,3), (5,7)$ .

Simplify the ratio $\sqrt{32} : \sqrt{50}$ .

Find the value of $a$ that satisfies the equation $6^{7}=a$ .

Calculate $3.4 \times 10^{5} \times 2 \times 10^{-3}$ and express the result in standard form.

Find the product of $(2 \sqrt{7}+3 \sqrt{6})$ and $(5 \sqrt{2}+4 \sqrt{3})$ .

What mathematical operations are not allowed? $\{ \text{Divide by zero}, \text{Have a numerator only containing zero} \}$

Graph the solution set of the linear inequalities system: $x + 4y \leq 8$ and $y \geq x - 2$ .

Simplify the expression $2(-12x - \frac{3}{2}) + 4x$ .

Find the value of $q$ that satisfies the equation $68=5+9q$ . The solutions are $q=7$ and $q=9$ .

Find the error in Franco's multiplication of $550 \times 80$ and calculate the correct product.

Find the equation with zeros at -3 and 4: $x^2 - x - 12 = 0$

Finn is making muffins. The recipe calls for $1 \frac{5}{6}$ cups of flour. If he triples the recipe, how much flour does he need in total?

Solve the quadratic equation $2 d^{2} + 14 d - 16 = 0$ and select the correct solution.

Solve the linear equation $42,000+3,000 x=90,000-5,000 x$ for $x$ .

Find the linear approximation to $g(x)=\sqrt[4]{x}$ at $x=2$ . Use it to approximate $\sqrt[4]{3}$ and $\sqrt[4]{10}$ . Compare to exact values. Analyze percent error and accuracy.

Find the cost of 1 week of African dance lessons given that 2 months of lessons cost $\$ 176$ and each month includes 4 weeks.

Solve the equation $6.8x + 9.3 = -9.4 + 3.4(2 - 5x)$ by distributing, combining terms, and applying properties.

Determine which values satisfy the inequality $\frac{2}{5} y - 13 > -15$ and mark them in the table.

Solve the following linear equations: $-6 x=18$ , $x-3=12$ , $-\frac{x}{4}=3$ .

Find the $t$ -value with 12 degrees of freedom such that the right-tailed area is 0.05. Round to 3 decimal places.

Solve the system of equations: $x^2 + y^2 = 16$ and $x - y = 2$ .

Match each linear equation with an equivalent equation. Some choices are not used. A. $3x+6=4x+7$ B. $3(x+6)=4x+7$ C. $4x+3x=7-6$

Найдите наклон и точку, через которую проходит прямая линия, заданная уравнением $y - x = 8$ .

Redefine a claim's complement and identify $H_0$ and $H_a$ . The claim is $\mu \geq 508$ . The complement is $\mu < 508$ . $H_0: \mu \geq 508$ , $H_a: \mu < 508$ .

Solve the quadratic equation $6 x^{2} - 13 x + 5 = 0$ and find the four possible solutions for $x$ .

The rabbit population increased by 200% from last year. There are 1,300 rabbits this year. How many were there last year? Complete the percent proportion: $\frac{1,300}{w} = \frac{200}{100}$ . There were $650$ rabbits last year.

Correct the error in the equation $2(x-4y)+3y=2x+11y$ . Choose the answer that fixes the error.

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

Find the expression with rational exponents that equals $\sqrt[4]{81 x^{3} y^{4} z^{8}}$ .

Find the value of the expression $-(3)^{4}$ .

Determine if two planes always, sometimes, or never intersect in a line. Explain. $\{$ sometimes, two planes can intersect in a line or single point $\}$ .

Find the value of $x$ in the equation $15+x=27$ .

Find the value of $x$ that satisfies the equation $3 = (2x + 27)^{1/4}$ .

Find the length of the line segment between the points $D(3, -5)$ and $E(-6, -7)$ .

Find the value of $u$ given the equation $1 = \frac{u}{2}$ . Also, find the value of $w$ .

$n$ such that $n \geq 4$

Find the relationship between hundredths, thousandths, and their corresponding units.
$1$ hundredth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit $1$ thousandth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit

Find the value of $X^2$ in the equation $m=\frac{(2-(-7))}{((-4)-(-6))}$ .

Find the solutions to the equation $(x-32)^{2}=56$ given $x= \pm 2 \sqrt{ } 22$ , $x= \pm 2 \sqrt{ } 6$ , $x=4 \sqrt{5} \pm 2 \sqrt{ } 14$ , and $x=32 \pm 2 \sqrt{ } 14$ .

Find the ordered pairs $(x, y)$ that satisfy the equation $f(x) = x^2 - 9 = y$ .

Solve the linear equation $3(9-8x-4x)+8(3x+4)=11$ and select the correct solution.

Determine if the following statements are true, false, or open: a. $-4(5 x)=12$ b. $4 \times 6=24$ c. $a+4=6$ , when $a=2$ d. $4 x=19$ , when $x$ equals 5

Solve $-225 \div(-15)$ and determine the reasonableness of the answer using operations like $-25 \div(-10)$ or $-25 \times(-10)$ .

Find the equation that best fits the data set {(-4,-4.8),(-3,-8.2),(-2,-9.1),(-1,-8.1),(0,-4.7),(1,0.3)}. (a) $y=1.1x+4.2$ (b) $y=1.1x^2+4.2x+4.9$ (c) $y=1.1x^2+4.2x-4.9$ (d) $y=1.1x-4.2$

Solve for $k$ in the equation $7(9+k)=84$ .

Find the value of $f(1)$ where $f(x) = \sqrt[3]{x} - 4$ .

Simplify $\frac{x^{-3}}{x^{2}}$ . Express $\log x^{3} - \log y^{2}$ as a single $\log$ expression.

Solve the linear equation $\frac{x}{3} + 10 = 15$ for the value of $x$ .

Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

Expand the expression $3(x-8)$ and simplify the result.

Find $y$ varies directly with $x$ . If $x=5$ then $y=15$ . Determine the constant of variation $k$ .

Solve $4 \cos^3(2x) + 2 \cos^2(2x) - 2 \cos(2x) - 1 = 0$ for $x$ in $[0, 360^\circ)$ .

Which of these statements is true about the quadratic functions $f(x)=-15 x^{2}+32$ and $g(x)=-17 x^{2}+5 x+32$ ?

Find the result of the division $5 \div 4$ .

Simplify the following fraction multiplications: $\frac{1}{2} \times \frac{6}{7}$ and $\frac{5}{6} \times \frac{3}{9}$ .

Determine how many rectangular prism-shaped concrete bricks a company made given the brick dimensions and total concrete volume used.
$13 \text{ in} \times 5 \text{ in} \times 4 \text{ in}$ brick dimensions, $11,700 \mathrm{in}^{3}$ concrete volume.

Find the x-intercept, y-intercept, and rotational symmetry of the function $f(x)=-(x+3)^{3}+2$ .