Math Statement

Problem 18501

Hundreds equal 70 times tens. What is the value of hundreds in terms of tens? Express it as: $h = 70t$ .

See Solution

Problem 18502

Identify the property: If $\angle Q \cong \angle S$ and $\angle S \cong \angle P$ , then $\angle Q \cong \angle P$ .

See Solution

Problem 18503

Evaluate $f(x) = x - 2$ for $x = 0$ and graph the ordered pair $(x, f(x))$ .

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Problem 18504

Convert $7.83 \times 10^{7}$ to standard form.

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Problem 18505

If $\angle A$ is supplementary to $\angle B$ and $\angle B=115^{\circ}$ , find $\angle A$ .

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Problem 18506

Find the price $p$ to maximize revenue given the function $R(p)=-7p^2+21,000p$ , and calculate the max revenue.

See Solution

Problem 18507

Solve the equation $x^{2}-12 x+61=0$ using the quadratic formula. Provide the exact solution with radicals and $i$ .

See Solution

Problem 18508

Select the true comparisons: $4.15 > 4.051$ , $1.054 > 1.45$ , $5.14 < 5.041$ , $5.104 < 5.41$ , $5.014 < 5.41$ .

See Solution

Problem 18509

Determine if the function $f(x)=-2 x^{2}+16 x-1$ has a max or min value and find that value.

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Problem 18510

Find the difference quotient of $f(x)=x^{2}+4$ : calculate $\frac{f(x+h)-f(x)}{h}$ , $h \neq 0$ , and simplify.

See Solution

Problem 18511

Find $g(x)=|x-x^{2}|$ for $g(4)$ , $g(-7)$ , and $g(-3)$ .

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Problem 18512

Calculate $\left[\frac{45.82 \mathrm{~g}}{(3.0 \mathrm{~cm})^{3}}-\frac{0.64 \mathrm{~g}}{(0.859 \mathrm{~cm})^{3}}\right] \div 2$ .

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Problem 18513

Given a continuous function $f$ on $[-2,2]$ with $f(-2)=1$ and $f(2)=-1$ , which properties hold by the Intermediate Value Theorem? A. $f(c)=0$ for some $c$ in $(-1,1)$ ; B. $f(x)+1 \geq 0$ on $(-2,2)$ ; C. $f^{2}(c) \leq 1$ for all $c$ in $(-2,2)$ .

See Solution

Problem 18514

Find $g(9)$ and $g(-1)$ for the function $g(x)=-x^{2}+10x-3$ .

See Solution

Problem 18515

Simplify the expression: $\frac{8+8+2}{1^{5}}$ and choose the correct answer. A. $\frac{8+8+2}{1^{5}}=$ B. Undefined.

See Solution

Problem 18516

Find $h(x)=|1-7 x|$ and calculate: a. $h(1)$ , b. $h(-7)$ , c. $h(9)$ .

See Solution

Problem 18517

Graph the line with slope -4 and $y$ -intercept 5 given by the equation $y=-4x+5$ .

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Problem 18518

Simplify the expression: $\frac{3(8-6)+2}{2^{2}-2}$ . Choose A or B if it's undefined.

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Problem 18519

Calculate $\frac{3}{2} \div 0.08 \div 0.35$ .

See Solution

Problem 18520

Find $f(x)=\frac{9}{5} x+32$ . Calculate $f(60)$ , $f(0)$ , and $f(25)$ .

See Solution

Problem 18521

Find the zeros of the function $P(x)=2x^{2}-50$ . Are they the same as the $x$ -intercepts?

See Solution

Problem 18522

Calculate the result of $(-19)-42-(-28)$ .

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Problem 18523

For the function $f(x)=x^{2}+4x+4$ , find the vertex, axis of symmetry, and intercepts. Does it open up or down?

See Solution

Problem 18524

Find the numerator for the equation $\frac{a}{5}=\frac{\square}{30}$ (Simplify your answer.)

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Problem 18525

Calculate the expression: $(-10) - 1 + (-46)$ .

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Problem 18526

Multiply the fractions: $\frac{10}{4} \cdot \frac{9}{5}$ . What is the simplified fraction?

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Problem 18527

Multiply and simplify: $4 \cdot 3 \frac{1}{3} = \square$ (Provide a whole number, fraction, or mixed number.)

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Problem 18528

Divide and simplify: $\frac{2}{55} \div \frac{4}{77} = \square$ (Enter a whole number or simplified fraction.)

See Solution

Problem 18529

Add the fractions: $\frac{1}{20}+\frac{1}{4}=\square$ (Type a whole number or a simplified fraction.)

See Solution

Problem 18530

The cost $C(x)=0.20x+45$ gives truck rental costs. Find costs for $x=80$ miles, solve for $C=60$ , max miles for $C \leq 150$ , domain, slope, and intercept.

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Problem 18531

Simplify the expression: $\frac{6+|9-2|+8^{2}}{5-2}$ and enter your answer as a number.

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Problem 18532

Identify the arithmetic sequence with the formula: $a_{n}=10 n+12$ .

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Problem 18533

Match the data tables with their corresponding equations and explain why. Simplify: $2x + x(x + 6)$ .

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Problem 18534

Find the equivalent expression for $9 w^{2}+\frac{3}{5}(20 w^{2}-15 w+10)+2 w$ . Choices are A, B, C, D.

See Solution

Problem 18535

Find the calories per ounce in a 6-ounce Greek yogurt container with 150 calories.

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Problem 18536

Find the polynomial sum of $(16 x^{2}-16) + (-12 x^{2}-12 x+12)$ . Choices: A. $4 x^{2}-12 x-4$ , B. $4 x^{2}-12 x+28$ , C. $16 x^{2}-28 x-16$ , D. $28 x^{2}-28 x-12$ .

See Solution

Problem 18537

Find the polynomial representing the difference: $2x^{2}+7x+6 - (3x^{2}-x)$ . Options: A. $-x^{2}+8x+6$ , B. $2x^{2}+4x+6$ , C. $-x^{2}+6x+6$ , D. $2x^{2}+5x+6$ .

See Solution

Problem 18538

Find the equivalent expression for $5 q^{2}-\frac{2}{3}(6 q^{2}-6 q-3)+3 q$ . Options: A, B, C, D.

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Problem 18539

Simplify: $8 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} - 9 =$ (exact answer with radicals).

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Problem 18540

Subtract the polynomials: $(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?$ A. $2 x^{2}+3$ B. $2 x^{2}+4 x+3$ C. $2 x^{2}+5$ D. $2 x^{2}+4 x+5$

See Solution

Problem 18541

Subtract the polynomials: (4x² - x + 6) - (x² + 3) = ? A. 5x² - x + 9 B. 3x² - x + 3 C. 4x² - 2x + 9 D. 4x² - 2x + 3

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Problem 18542

Find the next equation in the sequence:
1 = $1^2$ , 1 + 2 + 1 = $2^2$ , 1 + 2 + 3 + 2 + 1 = $3^2$ , 1 + 2 + 3 + 4 + 3 + 2 + 1 = $4^2$ .
Verify your answer.

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Problem 18543

Calculate $75.11 - 4.4$ .

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Problem 18544

Calculate the product of $\frac{7}{2}$ and $\frac{7}{2}$ .

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Problem 18545

Calculate the value of $31 / 2 \times 31 / 2$ .

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Problem 18546

Find the cost in 2014 using the model $C=2.85n+30.52$ , where $n$ is the years since 1990.

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Problem 18547

Find the intercepts of the line given by $-4x + 7y = 3$ . Provide exact values.

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Problem 18548

Graph the equations: $x+y=-2$ and $x-y=4$ . Find their intersection point.

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Problem 18549

Calculate $3 \frac{1}{2} \times \frac{31}{2}$ .

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Problem 18550

Check if $(-2,1)$ satisfies the equations: $-x-5y=-3$ and $-3x-4y=2$ . Is it a solution? Yes or No.

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Problem 18551

Calculate $2,789 \div 36$ .

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Problem 18552

Graph the system: $x+y=-2$ and $x-y=4$ . Choose A (ordered pair), B (equation), or C (no solution: $\varnothing$ ).

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Problem 18553

Solve for real $x$ in the equation: $4 x^{3}-8 x^{2}=0$ . Provide answers as a comma-separated list.

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Problem 18554

Calculate $215 \div 2$ .

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Problem 18555

Graph the system of equations: $x+y=-1$ and $x-y=7$ .

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Problem 18556

Convert $0.000450 \mathrm{~cm}$ to $\mathrm{nm}$ .

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Problem 18557

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

See Solution

Problem 18558

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

See Solution

Problem 18559

Divide 18 by 153 using long division.

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Problem 18560

Find $f \circ g$ and $g \circ f$ for $f(x)=\sqrt{x+8}$ and $g(x)=x^{2}$ . Determine the domains in interval notation.

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Problem 18561

20 tens = 200

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Problem 18562

Find the compositions of the functions $f(x)=4x+7$ and $g(x)=-8x-7$ : (a) $(f \circ g)(x)$ , (b) $(g \circ f)(x)$ , (c) $(f \circ f)(x)$ . Simplify your answers.

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Problem 18563

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $x$ -intercept:

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Problem 18564

Divide 34.75 by 5.

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Problem 18565

Evaluate the function $g(x)=4x+1$ for: (a) $g(-4)$ , (b) $g(a)$ , (c) $g(x^{3})$ , (d) $g(4x-3)$ .

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Problem 18566

Graph the system of equations: $x+y=-1$ and $x-y=7$ . Identify the solution set: A, B, or C.

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Problem 18567

Evaluate $g(x)=5 x^{2}-8$ for: (a) $g(-7)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(5 x-7)$ .

See Solution

Problem 18568

Find the value of $d$ given that $d = a_2 - a_1$ , where $a_2 = 22$ and $a_1 = 12$ .

See Solution

Problem 18569

Identify $a_{1}$ and $d$ in the sequence $12, 22, 32, 42, 52$ using $a_{n}=a_{1}+(n-1)d$ . Explain $a_{2}, a_{3}, a_{4}, a_{5}$ .

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Problem 18570

Evaluate $(f \circ g)(6)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ . What is the simplified result?

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Problem 18571

Evaluate $(f \circ g)(6)$ and $(g \circ f)(-3)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ .

See Solution

Problem 18572

Identify the arithmetic sequence from the formula $a_{n}=10n+12$ and the terms 12, 22, 32, 42, 52.

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Problem 18573

Find all real solutions for the equation $x^{3} = 81x$ . Enter answers as a comma-separated list.

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Problem 18574

Multiply and simplify: $(\sqrt{10}+8 \sqrt{6})(2 \sqrt{6}+5 \sqrt{10})$ .

See Solution

Problem 18575

Multiply and simplify: $(5 \sqrt{10}+7 \sqrt{6})(2 \sqrt{6}-8 \sqrt{10})$

See Solution

Problem 18576

Evaluate $f(g(-5))$ and $g(f(3))$ for $f(x)=7x-1$ and $g(x)=|x|$ .

See Solution

Problem 18577

Find all real solutions for the equation: $6x^5 - 24x = 0$ .

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Problem 18578

Divide 139 by 4 using long division.

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Problem 18579

Evaluate the following using $f(x)=7x-1$ and $g(x)=|x|$ : (a) $(f \circ g)(-5)$ (b) $(g \circ f)(3)$ Find $(f \circ g)(-5)=$ (Simplify your answer.)

See Solution

Problem 18580

Solve for all real values of $x$ in the equation $x = 5x^5 - 45x$ .

See Solution

Problem 18581

Divide 18 by 153.

See Solution

Problem 18582

Calculate the value of $\left(4^{4}\right)^{3}$ .

See Solution

Problem 18583

Find $t$ when the rocket's height $h=92$ feet, given $h=188t-16t^2$ . Round to the nearest hundredth.

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Problem 18584

Determine if the function $f(x)=\frac{-x^{3}}{9 x^{2}-3}$ is even, odd, or neither.

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Problem 18585

Solve for all real solutions of the equation: $x = x^3 - 4x^2 + x - 4 = x^2 + 1$ .

See Solution

Problem 18586

Evaluate $f(x)=7x-1$ and $g(x)=|x|$ for: (a) $(f \circ g)(-5)$ , (b) $(g \circ f)(3)$ .

See Solution

Problem 18587

Calculate the value of $\frac{3^{12}}{3^{3}}$ .

See Solution

Problem 18588

Calculate the value of $6^{4} \cdot 2^{4}$ .

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Problem 18589

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=2x-4$ and $g(x)=\frac{x+4}{2}$ . Simplify both.

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Problem 18590

Is $8 \times 8^{5}$ the same as $(8 \times 8)^{5}$ ? Justify your answer.

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Problem 18591

Find all real solutions for the equation $z + \frac{16}{z+2} = 6$ . Enter answers as a comma-separated list.

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Problem 18592

Convert $375 \mathrm{~m/s}$ to $\mathrm{ft/min}$ .

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Problem 18593

Find the real zeros and their multiplicities for $f(x)=\frac{1}{5} x^{2}(x^{2}-3)$ and state if the graph crosses or touches the $\mathrm{x}$ -axis.

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Problem 18594

Rationalize and simplify the expression: $\sqrt{\frac{13}{3}}$ .

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Problem 18595

Rationalize and simplify the expression: $\frac{\sqrt{21}}{\sqrt{77}}$ .

See Solution

Problem 18596

Calculate $\left(\frac{1}{6}\right)^5$ .

See Solution

Problem 18597

Solve the equation for real values of $x$ : $\frac{15}{x}-\frac{9}{x-2}+4=0$ . List answers as comma-separated values.

See Solution

Problem 18598

Find the line equation in slope-intercept form with slope $m=\frac{5}{9}$ and y-intercept $(0,1)$ .

See Solution

Problem 18599

Solve for real values of $x$ in the equation $x=\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 18600

Find the x-intercepts of the function $f(x)=\frac{x^{2}+2}{x^{2}+9x+9}$ .

See Solution

1 ...183 184 185 186 187 188 189 ...270

Math Statement

Problem 18501

Hundreds equal 70 times tens. What is the value of hundreds in terms of tens? Express it as: h=70th = 70th=70t.

Problem 18502

Identify the property: If ∠Q≅∠S\angle Q \cong \angle S∠Q≅∠S and ∠S≅∠P\angle S \cong \angle P∠S≅∠P, then ∠Q≅∠P\angle Q \cong \angle P∠Q≅∠P.

Problem 18503

Evaluate f(x)=x−2f(x) = x - 2f(x)=x−2 for x=0x = 0x=0 and graph the ordered pair (x,f(x))(x, f(x))(x,f(x)).

Problem 18504

Convert 7.83×1077.83 \times 10^{7}7.83×107 to standard form.

Problem 18505

If ∠A\angle A∠A is supplementary to ∠B\angle B∠B and ∠B=115∘\angle B=115^{\circ}∠B=115∘, find ∠A\angle A∠A.

Problem 18506

Find the price ppp to maximize revenue given the function R(p)=−7p2+21,000pR(p)=-7p^2+21,000pR(p)=−7p2+21,000p, and calculate the max revenue.

Problem 18507

Solve the equation x2−12x+61=0x^{2}-12 x+61=0x2−12x+61=0 using the quadratic formula. Provide the exact solution with radicals and iii.

Problem 18508

Select the true comparisons: 4.15>4.0514.15 > 4.0514.15>4.051, 1.054>1.451.054 > 1.451.054>1.45, 5.14<5.0415.14 < 5.0415.14<5.041, 5.104<5.415.104 < 5.415.104<5.41, 5.014<5.415.014 < 5.415.014<5.41.

Problem 18509

Determine if the function f(x)=−2x2+16x−1f(x)=-2 x^{2}+16 x-1f(x)=−2x2+16x−1 has a max or min value and find that value.

Problem 18510

Find the difference quotient of f(x)=x2+4f(x)=x^{2}+4f(x)=x2+4: calculate f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​, h≠0h \neq 0h=0, and simplify.

Problem 18511

Find g(x)=∣x−x2∣g(x)=|x-x^{2}|g(x)=∣x−x2∣ for g(4)g(4)g(4), g(−7)g(-7)g(−7), and g(−3)g(-3)g(−3).

Problem 18512

Calculate [45.82 g(3.0 cm)3−0.64 g(0.859 cm)3]÷2\left[\frac{45.82 \mathrm{~g}}{(3.0 \mathrm{~cm})^{3}}-\frac{0.64 \mathrm{~g}}{(0.859 \mathrm{~cm})^{3}}\right] \div 2[(3.0 cm)345.82 g​−(0.859 cm)30.64 g​]÷2.

Problem 18513

Problem 18514

Find g(9)g(9)g(9) and g(−1)g(-1)g(−1) for the function g(x)=−x2+10x−3g(x)=-x^{2}+10x-3g(x)=−x2+10x−3.

Problem 18515

Simplify the expression: 8+8+215 \frac{8+8+2}{1^{5}} 158+8+2​ and choose the correct answer. A. 8+8+215= \frac{8+8+2}{1^{5}}=158+8+2​= B. Undefined.

Problem 18516

Find h(x)=∣1−7x∣h(x)=|1-7 x|h(x)=∣1−7x∣ and calculate: a. h(1)h(1)h(1), b. h(−7)h(-7)h(−7), c. h(9)h(9)h(9).

Problem 18517

Graph the line with slope -4 and yyy-intercept 5 given by the equation y=−4x+5y=-4x+5y=−4x+5.

Problem 18518

Simplify the expression: 3(8−6)+222−2\frac{3(8-6)+2}{2^{2}-2}22−23(8−6)+2​. Choose A or B if it's undefined.

Problem 18519

Calculate 32÷0.08÷0.35\frac{3}{2} \div 0.08 \div 0.3523​÷0.08÷0.35.

Problem 18520

Find f(x)=95x+32f(x)=\frac{9}{5} x+32f(x)=59​x+32. Calculate f(60)f(60)f(60), f(0)f(0)f(0), and f(25)f(25)f(25).

Problem 18521

Find the zeros of the function P(x)=2x2−50P(x)=2x^{2}-50P(x)=2x2−50. Are they the same as the xxx-intercepts?

Problem 18522

Calculate the result of (−19)−42−(−28)(-19)-42-(-28)(−19)−42−(−28).

Problem 18523

For the function f(x)=x2+4x+4f(x)=x^{2}+4x+4f(x)=x2+4x+4, find the vertex, axis of symmetry, and intercepts. Does it open up or down?

Problem 18524

Find the numerator for the equation a5=□30\frac{a}{5}=\frac{\square}{30}5a​=30□​ (Simplify your answer.)

Problem 18525

Calculate the expression: (−10)−1+(−46)(-10) - 1 + (-46)(−10)−1+(−46).

Problem 18526

Multiply the fractions: 104⋅95\frac{10}{4} \cdot \frac{9}{5}410​⋅59​. What is the simplified fraction?

Problem 18527

Multiply and simplify: 4⋅313=□4 \cdot 3 \frac{1}{3} = \square4⋅331​=□ (Provide a whole number, fraction, or mixed number.)

Problem 18528

Divide and simplify: 255÷477=□ \frac{2}{55} \div \frac{4}{77} = \square 552​÷774​=□ (Enter a whole number or simplified fraction.)

Problem 18529

Add the fractions: 120+14=□\frac{1}{20}+\frac{1}{4}=\square201​+41​=□ (Type a whole number or a simplified fraction.)

Problem 18530

The cost C(x)=0.20x+45C(x)=0.20x+45C(x)=0.20x+45 gives truck rental costs. Find costs for x=80x=80x=80 miles, solve for C=60C=60C=60, max miles for C≤150C \leq 150C≤150, domain, slope, and intercept.

Problem 18531

Simplify the expression: 6+∣9−2∣+825−2\frac{6+|9-2|+8^{2}}{5-2}5−26+∣9−2∣+82​ and enter your answer as a number.

Problem 18532

Identify the arithmetic sequence with the formula: an=10n+12a_{n}=10 n+12an​=10n+12.

Problem 18533

Match the data tables with their corresponding equations and explain why. Simplify: 2x+x(x+6)2x + x(x + 6)2x+x(x+6).

Problem 18534

Find the equivalent expression for 9w2+35(20w2−15w+10)+2w9 w^{2}+\frac{3}{5}(20 w^{2}-15 w+10)+2 w9w2+53​(20w2−15w+10)+2w. Choices are A, B, C, D.

Problem 18535

Find the calories per ounce in a 6-ounce Greek yogurt container with 150 calories.

Problem 18536

Problem 18537

Find the polynomial representing the difference: 2x2+7x+6−(3x2−x)2x^{2}+7x+6 - (3x^{2}-x)2x2+7x+6−(3x2−x). Options: A. −x2+8x+6-x^{2}+8x+6−x2+8x+6, B. 2x2+4x+62x^{2}+4x+62x2+4x+6, C. −x2+6x+6-x^{2}+6x+6−x2+6x+6, D. 2x2+5x+62x^{2}+5x+62x2+5x+6.

Problem 18538

Find the equivalent expression for 5q2−23(6q2−6q−3)+3q5 q^{2}-\frac{2}{3}(6 q^{2}-6 q-3)+3 q5q2−32​(6q2−6q−3)+3q. Options: A, B, C, D.

Problem 18539

Simplify: 83+43−103−9=8 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} - 9 = 83​+43​−103​−9= (exact answer with radicals).

Problem 18540

Subtract the polynomials: (3x2+2x+4)−(x2+2x+1)=?(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?(3x2+2x+4)−(x2+2x+1)=? A. 2x2+32 x^{2}+32x2+3 B. 2x2+4x+32 x^{2}+4 x+32x2+4x+3 C. 2x2+52 x^{2}+52x2+5 D. 2x2+4x+52 x^{2}+4 x+52x2+4x+5

Problem 18541

Hundreds equal 70 times tens. What is the value of hundreds in terms of tens? Express it as: $h = 70t$ .

Identify the property: If $\angle Q \cong \angle S$ and $\angle S \cong \angle P$ , then $\angle Q \cong \angle P$ .

Evaluate $f(x) = x - 2$ for $x = 0$ and graph the ordered pair $(x, f(x))$ .

Convert $7.83 \times 10^{7}$ to standard form.

If $\angle A$ is supplementary to $\angle B$ and $\angle B=115^{\circ}$ , find $\angle A$ .

Find the price $p$ to maximize revenue given the function $R(p)=-7p^2+21,000p$ , and calculate the max revenue.

Solve the equation $x^{2}-12 x+61=0$ using the quadratic formula. Provide the exact solution with radicals and $i$ .

Select the true comparisons: $4.15 > 4.051$ , $1.054 > 1.45$ , $5.14 < 5.041$ , $5.104 < 5.41$ , $5.014 < 5.41$ .

Determine if the function $f(x)=-2 x^{2}+16 x-1$ has a max or min value and find that value.

Find the difference quotient of $f(x)=x^{2}+4$ : calculate $\frac{f(x+h)-f(x)}{h}$ , $h \neq 0$ , and simplify.

Find $g(x)=|x-x^{2}|$ for $g(4)$ , $g(-7)$ , and $g(-3)$ .

Calculate $\left[\frac{45.82 \mathrm{~g}}{(3.0 \mathrm{~cm})^{3}}-\frac{0.64 \mathrm{~g}}{(0.859 \mathrm{~cm})^{3}}\right] \div 2$ .

Find $g(9)$ and $g(-1)$ for the function $g(x)=-x^{2}+10x-3$ .

Simplify the expression: $\frac{8+8+2}{1^{5}}$ and choose the correct answer. A. $\frac{8+8+2}{1^{5}}=$ B. Undefined.

Find $h(x)=|1-7 x|$ and calculate: a. $h(1)$ , b. $h(-7)$ , c. $h(9)$ .

Graph the line with slope -4 and $y$ -intercept 5 given by the equation $y=-4x+5$ .

Simplify the expression: $\frac{3(8-6)+2}{2^{2}-2}$ . Choose A or B if it's undefined.

Calculate $\frac{3}{2} \div 0.08 \div 0.35$ .

Find $f(x)=\frac{9}{5} x+32$ . Calculate $f(60)$ , $f(0)$ , and $f(25)$ .

Find the zeros of the function $P(x)=2x^{2}-50$ . Are they the same as the $x$ -intercepts?

Calculate the result of $(-19)-42-(-28)$ .

For the function $f(x)=x^{2}+4x+4$ , find the vertex, axis of symmetry, and intercepts. Does it open up or down?

Find the numerator for the equation $\frac{a}{5}=\frac{\square}{30}$ (Simplify your answer.)

Calculate the expression: $(-10) - 1 + (-46)$ .

Multiply the fractions: $\frac{10}{4} \cdot \frac{9}{5}$ . What is the simplified fraction?

Multiply and simplify: $4 \cdot 3 \frac{1}{3} = \square$ (Provide a whole number, fraction, or mixed number.)

Divide and simplify: $\frac{2}{55} \div \frac{4}{77} = \square$ (Enter a whole number or simplified fraction.)

Add the fractions: $\frac{1}{20}+\frac{1}{4}=\square$ (Type a whole number or a simplified fraction.)

The cost $C(x)=0.20x+45$ gives truck rental costs. Find costs for $x=80$ miles, solve for $C=60$ , max miles for $C \leq 150$ , domain, slope, and intercept.

Simplify the expression: $\frac{6+|9-2|+8^{2}}{5-2}$ and enter your answer as a number.

Identify the arithmetic sequence with the formula: $a_{n}=10 n+12$ .

Match the data tables with their corresponding equations and explain why. Simplify: $2x + x(x + 6)$ .

Find the equivalent expression for $9 w^{2}+\frac{3}{5}(20 w^{2}-15 w+10)+2 w$ . Choices are A, B, C, D.

Find the polynomial representing the difference: $2x^{2}+7x+6 - (3x^{2}-x)$ . Options: A. $-x^{2}+8x+6$ , B. $2x^{2}+4x+6$ , C. $-x^{2}+6x+6$ , D. $2x^{2}+5x+6$ .

Find the equivalent expression for $5 q^{2}-\frac{2}{3}(6 q^{2}-6 q-3)+3 q$ . Options: A, B, C, D.

Simplify: $8 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} - 9 =$ (exact answer with radicals).

Subtract the polynomials: $(3 x^{2}+2 x+4)-(x^{2}+2 x+1)=?$ A. $2 x^{2}+3$ B. $2 x^{2}+4 x+3$ C. $2 x^{2}+5$ D. $2 x^{2}+4 x+5$

Find the next equation in the sequence:
1 = $1^2$ , 1 + 2 + 1 = $2^2$ , 1 + 2 + 3 + 2 + 1 = $3^2$ , 1 + 2 + 3 + 4 + 3 + 2 + 1 = $4^2$ .
Verify your answer.

Calculate $75.11 - 4.4$ .

Calculate the product of $\frac{7}{2}$ and $\frac{7}{2}$ .

Calculate the value of $31 / 2 \times 31 / 2$ .

Find the cost in 2014 using the model $C=2.85n+30.52$ , where $n$ is the years since 1990.

Find the intercepts of the line given by $-4x + 7y = 3$ . Provide exact values.

Graph the equations: $x+y=-2$ and $x-y=4$ . Find their intersection point.

Calculate $3 \frac{1}{2} \times \frac{31}{2}$ .

Check if $(-2,1)$ satisfies the equations: $-x-5y=-3$ and $-3x-4y=2$ . Is it a solution? Yes or No.

Calculate $2,789 \div 36$ .

Graph the system: $x+y=-2$ and $x-y=4$ . Choose A (ordered pair), B (equation), or C (no solution: $\varnothing$ ).

Solve for real $x$ in the equation: $4 x^{3}-8 x^{2}=0$ . Provide answers as a comma-separated list.

Calculate $215 \div 2$ .

Graph the system of equations: $x+y=-1$ and $x-y=7$ .

Convert $0.000450 \mathrm{~cm}$ to $\mathrm{nm}$ .

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

Find $f \circ g$ and $g \circ f$ for $f(x)=\sqrt{x+8}$ and $g(x)=x^{2}$ . Determine the domains in interval notation.

Find the compositions of the functions $f(x)=4x+7$ and $g(x)=-8x-7$ : (a) $(f \circ g)(x)$ , (b) $(g \circ f)(x)$ , (c) $(f \circ f)(x)$ . Simplify your answers.

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $x$ -intercept:

Evaluate the function $g(x)=4x+1$ for: (a) $g(-4)$ , (b) $g(a)$ , (c) $g(x^{3})$ , (d) $g(4x-3)$ .

Graph the system of equations: $x+y=-1$ and $x-y=7$ . Identify the solution set: A, B, or C.

Evaluate $g(x)=5 x^{2}-8$ for: (a) $g(-7)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(5 x-7)$ .

Find the value of $d$ given that $d = a_2 - a_1$ , where $a_2 = 22$ and $a_1 = 12$ .

Identify $a_{1}$ and $d$ in the sequence $12, 22, 32, 42, 52$ using $a_{n}=a_{1}+(n-1)d$ . Explain $a_{2}, a_{3}, a_{4}, a_{5}$ .

Evaluate $(f \circ g)(6)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ . What is the simplified result?

Evaluate $(f \circ g)(6)$ and $(g \circ f)(-3)$ for $f(x)=\sqrt{x+28}$ and $g(x)=x^{2}$ .

Identify the arithmetic sequence from the formula $a_{n}=10n+12$ and the terms 12, 22, 32, 42, 52.

Find all real solutions for the equation $x^{3} = 81x$ . Enter answers as a comma-separated list.

Multiply and simplify: $(\sqrt{10}+8 \sqrt{6})(2 \sqrt{6}+5 \sqrt{10})$ .