Browse Math problems in the Studdy Learning Bank!

Problem 701

Multiply $(-9) \times 7$ and enter the answer.

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Problem 702

Solve the rational inequality $\frac{(x+7)(x-9)}{x-6}<0$ using the critical value method.

See Solution

Problem 703

Find critical values and relative extrema of $g(x) = -x^3 + 12x - 19$ . Select A if the critical value(s) exist, and fill in the answer box. Select B if the function has no critical values.

See Solution

Problem 704

Solve the absolute value equation $2|a|-1=3$ .

See Solution

Problem 705

Find the product and ratio of $f(x)=x^{1/2}$ and $g(x)=\sqrt[3]{2x}+1$ , and rationalize the denominator of the ratio.

See Solution

Problem 706

Find the expression for the product of $(p-10 q)$ and $(p+10 q)$ .

See Solution

Problem 707

Multiply $23.096$ and $90.300$ . Express the result in scientific notation with correct significant figures.

See Solution

Problem 708

Find the value of $x$ where the ratios $(3x+2):(2x+5)$ and $7:5$ are equivalent. Provide the answer as an integer or simplified fraction.

See Solution

Problem 709

Find the fraction equivalent of the repeating decimal $0.\overline{074}$ .

See Solution

Problem 710

Convert the repeating decimal $3.\overline{2}$ to a mixed number.

See Solution

Problem 711

Convert the equation to standard form by completing the square on $x$ and $y$ . Graph the hyperbola, find the foci, and the equations of the asymptotes. $16 x^{2}-y^{2}-128 x-8 y+244=0$ The standard form of the equation is $\frac{(x-4)^2}{16}-\frac{y^2}{1}=1$ .

See Solution

Problem 712

Sell 21 tickets for a school play, with adult tickets at $6 and child tickets at$ 4. Solve for the number of adult and child tickets sold.
$a$ = number of adult tickets, $c$ = number of child tickets $a + c = 21$ $6a + 4c = 104$

See Solution

Problem 713

Solve the linear equation $15 + 6x = 45 + 8x$ for the unknown variable $x$ .

See Solution

Problem 714

Simplify the expression $3x(x+3)+x^2(x+3)$ .

See Solution

Problem 715

Factor the expression $6n^2 - n - 12$ . If it's not factorable, write "prime".

See Solution

Problem 716

Find the point of intersection of two linear equations: $4x - 2y = 1$ and $3x - 4y = 16$ .

See Solution

Problem 717

Create a division story problem about 7 feet of rope, modeled by the tape diagram: $\text{? halves}$

See Solution

Problem 718

Determine which numbers (721, 720, 372) are divisible by 10, 5, or 2.

See Solution

Problem 719

For a voltmeter with 0.1 V as the smallest division, estimate measurements to the nearest $100 \mathrm{mV}$ , $10 \mathrm{mV}$ , or $1 \mathrm{mV}$ .

See Solution

Problem 720

Solve for the value of $x$ given the equation $y=5(x-a)$ .

See Solution

Problem 721

Find the quotient of $1.76 \div 0.9$ rounded to the nearest tenth.

See Solution

Problem 722

Translate the phrase into a variable expression using $p$ to represent the number of plants divided among 8 yards.

See Solution

Problem 723

Harper knits a scarf 5 cm longer each night. Write an equation relating the number of nights $x$ and the scarf length $y$ (cm).
$y = 5x$

See Solution

Problem 724

Reflect the pre-image coordinates $A(-4,-11)$ , $B(6,-11)$ , and $C(-4,1)$ over the $x$ -axis.

See Solution

Problem 725

Find the cotangent of the negative of an angle x if the cotangent of x is 0.3.

See Solution

Problem 726

Find $\sec(-x)$ if $\sec(x)=2$ .

See Solution

Problem 727

Solve the equation using the Distributive Property: $\frac{1}{6}(p+24)=10$ , where $p=36$ .

See Solution

Problem 728

Determine if Rolle's Theorem applies to $f(x) = \sin 7x$ on $[\pi/7, 2\pi/7]$ . If so, find the point(s) guaranteed to exist. Select A and fill in the answer if Rolle's Theorem applies, otherwise select B.

See Solution

Problem 729

Find the value of $x$ that satisfies the equation $7x - 7 = 28$ . Verify the solution.

See Solution

Problem 730

Compute the correlation coefficient $r$ given $\sum x=5,811, \sum x^{2}=5,632,643, \sum y=578, \sum y^{2}=65,292$ and $\sum x y=553,170$ . Does $r$ imply that $y$ should tend to increase, decrease, or remain constant as $x$ increases?

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Problem 731

Solve for $t$ in the equation $\frac{7}{4} + \frac{1}{3}t = 5$ .

See Solution

Problem 732

Find the inverse function $f^{-1}(x)$ if $f(x) = e^{x+1} - 2$ .

See Solution

Problem 733

Find the mean of a dataset with $S^{2}=10$ , $n=30$ , and $\sum x^{2}=3290$ .

See Solution

Problem 734

Find the range of values for $x$ given the inequality $0 < 2x + 4 < 40$ .

See Solution

Problem 735

Find the equation of a line with slope 0.5.

See Solution

Problem 736

Multiply $(4x + 1/2)(2x + 1/2)$ using the FOIL method.

See Solution

Problem 737

Solve the linear equation $7x + 4 = 2x + 5$ for $x$ . The solution is $x = \square$ .

See Solution

Problem 738

Solve for x in the linear equation $3(x-4)=-9$ .

See Solution

Problem 739

Calculate the arc length of $y=\frac{1}{4} x^{2}-\frac{1}{2} \ln x$ on $[1,3 e]$ .

See Solution

Problem 740

Find the percent change in the weight Jake can lift, from 25 lbs on Monday to 45 lbs one month later.

See Solution

Problem 741

Solve the equation $z^{2} + 9 = 10z$ .

See Solution

Problem 742

Find parabola equation $y=ax^2+bx+c$ through 3 points: a) $A(-1,7)$ , $B(0,4)$ , $C(2,10)$ b) $A(-1,-6)$ , $B(1,0)$ , $C(3,-2)$ .

See Solution

Problem 743

Find the length of the curve $y = \log\left(\frac{e^{x} - 1}{e^{x} + 1}\right)$ from $x = 1$ to $x = 2$ .

See Solution

Problem 744

Solve for $u$ where $4^{u}=1024$ .

See Solution

Problem 745

Determine the constant $k$ that makes the given density function $f(x)$ a valid probability density function for the measurement error $X$ .

See Solution

Problem 746

Find the degree of the monomial $7 a^{5} b^{9}$ . The degree of the monomial is $14$ .

See Solution

Problem 747

Identify the real number property shown in the equation $4 \cdot 0 = 0$ .

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Problem 748

5. Each question refers to geometric progressions: a) $a_{2}=2, a_{5}=\frac{1}{4}$ . Calculate $r, S_{6}$ and $S$ . b) $r=3, a_{3}=9$ . Determine $a_{n}, a_{7}$ and $P_{7}$ . c) $a_{1}=-6, r=\frac{2}{3}$ . Calculate $S_{4}$ and $S$ . d) $a_{n}=(-2)^{n-1}$ . Determine $S_{5}$ and $P_{5}$ .

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Problem 749

Find the value of $c$ if the vectors $v_1 = [1, 0, 0]$ , $v_2 = [1, 1, 0]$ , and $v_3 = [1, -1, c]$ are linearly dependent.

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Problem 750

Evaluate $x^{2}-3y^{2}+2xy$ when $x=3$ and $y=-9$ .

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Problem 751

Find the values of y that satisfy the equation $-2=4y^2-6y$ . Round the solutions to the nearest hundredth.

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Problem 752

Find the value of $y$ when $x=7$ , given the equation $y=x^{2}-7$ .

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Problem 753

Sketch an angle $\theta$ such that $(6,-8)$ is on the terminal side and $\theta$ has the least positive measure. Find the exact values of the six trigonometric functions for $\theta$ .

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Problem 754

Simplify the expression $-[-(-3)-(-(-8))] \cdot\left(-2^{4}\right)$ .

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Problem 755

Write an interval notation for the set of all real numbers greater than 7.

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Problem 756

Solve the linear equation $w + 3 = 3$ for the unknown variable $w$ .

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Problem 757

Evaluate the expression $(-3)^{3}$ .

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Problem 758

Solve the absolute value equation $2.5|x+4|=0.5|x+4|+10$ and classify the solution(s).

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Problem 759

Expand the expression $(x+6)(x+5)$ and illustrate the resulting product as a rectangle.

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Problem 760

Find the exponent that makes the equation $2^{?} = 4$ true. The possible answers are $\frac{1}{2}, 1, 2, -2$ .

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Problem 761

Find the missing value in the proportion $3 \frac{1}{2} : 7 \frac{3}{5} = x : \text{Blank\#1} \frac{\text{Blank\#2}}{\text{Blank\#3}}$ .

See Solution

Problem 762

Explore the Subtracting Blocks eManipulative and solve the problem $52-17$ . Which action is required? A. Take away 7 cubes B. Take away 1 long C. Convert 1 long into 10 cubes D. All of the above

See Solution

Problem 763

Solve $15(5c-7) = 9c-9$ using addition and multiplication. Find the correct value from the options: $\frac{114}{11}, \frac{16}{11}, \frac{4}{21}$ .

See Solution

Problem 764

Find the least possible value of integer constant $k$ in the equation $x(k x-56)=-16$ with no real solution.

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Problem 765

Divide polynomials using long division: a. $\left(k^{3}-k^{2}-k-2\right) \div(k-2)$ b. $\left(6 a^{3}+20 a^{2}-15 a+9\right) \div(a+4)$ c. $\left(n^{4}+10 n^{3}+21 n^{2}+6 n-8\right) \div(n+2)$ d. $\left(8 v^{5}+32 v^{4}+5 v+20\right) \div(v+4)$

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Problem 766

Find the vertical asymptotes and holes of the rational function $f(x) = \frac{x-7}{x^{2}-9 x+14}$ . B. Vertical asymptote(s) at $x=3, 5$ and hole(s) at $x=7$ .

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Problem 767

Classify the polynomial $x^{2} - 6x + 9$ as a monomial, binomial, trinomial, or none of these.

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Problem 768

Find the value of the expression $28.6-35+12.7-(-5.2)$ .

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Problem 769

Solve the linear equation $-5u + 6 = -12u + 62$ for $u$ .

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Problem 770

Given constraints and optimal solution $(x, y) = (25, 0)$ , find the values of the slack variables $s_1$ and $s_2$ .

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Problem 771

Find the least common denominator (LCD) of the rational expressions $\frac{2}{x} + \frac{3}{x^{2}}$ .

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Problem 772

Find the sum of $\frac{3}{10}$ , $\frac{41}{100}$ , and $\frac{22}{100}$ .

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Problem 773

Solve $8c^2 - 41c = 42$ for $c$ . Provide exact solution(s).

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Problem 774

Resolver para $x$ , donde $-\frac{15}{4}=-3x$ . Simplificar la respuesta tanto como sea posible.

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Problem 775

Isolate $y$ in the equation $10 x - y = 1$ .

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Problem 776

Find the value of $y_0(2)$ where $y_0$ is the solution to the ODE $xy' + 2y = 2x$ with $y(1) = 3$ .

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Problem 777

Determine if $\int_{0}^{\infty} 6 e^{-2 x} d x$ converges or diverges. If convergent, calculate its value.

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Problem 778

Find the value of c in the equation: $28 \text{qt} = c$

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Problem 779

Find $\sin(\alpha/2), \cos(\alpha/2), \tan(\alpha/2)$ given $\tan\alpha=21/20$ and $0^{\circ}<\alpha<90^{\circ}$ .

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Problem 780

Solve for $x$ in the equation $7^{x} = \frac{1}{7}$ . Express the answer as an integer or a simplified fraction.

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Problem 781

Find the missing value in the equations: $10+\square=16$ and $12=\square+2$ .

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Problem 782

Convert 1973.1 cubic miles to cubic kilometers using the conversion ratio: $1.61 \mathrm{~km} = 1$ mile.

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Problem 783

Find the number of solutions to $4x^2 - 2x + 7 = 0$ using the discriminant.

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Problem 784

Evaluate the expression $6x + 5y - 1$ at $x=3, y=3$ and simplify.

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Problem 785

Simplificar la expresión $\sqrt{\frac{81}{16}}$ y escribir la respuesta en forma reducida.

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Problem 786

Solve for $z$ in the equation $5(2z-1)=-(3z-21)$ .

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Problem 787

Find the probability of 2 girls and 1 boy in a 3-child family, assuming equal chances for boys/girls. (A) $1/3$ (B) $3/8$ (C) $2/3$ (D) $1/4$

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Problem 788

Find the transformation properties of the quadratic function $g(x) = 3(x-2)^{2}$ , including its vertex, domain, range, and axis of symmetry.

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Problem 789

If the linear correlation between two variables is negative, the slope of the regression line is \negative.

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Problem 790

Solve for $x$ in the equation: 6(x+4) = 12(x-20)

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Problem 791

Find the direct proportion model for $V$ and $I$ using the constant of proportion $k$ , where $V = k \cdot I$ .

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Problem 792

Find the probability that the complement of event $E$ occurs if the probability of $E$ is $0.21$ .

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Problem 793

A system of 2 linear equations has positive slopes, but different slopes. Which statement is true? The equations are $\text{independent}$ , $\text{dependent}$ , or the lines are $\perp$ to each other.

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Problem 794

Determine the base of $-(-5)^{3}$ and evaluate $6^{5}$ .

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Problem 795

Find the coordinates of point $Z'$ given that point $Z$ has coordinates $(-3,5)$ and is translated left 2 units and down 2 units.

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Problem 796

Calculate the 2nd and 3rd order Taylor polynomials for $f(x) = 8 \tan(x)$ centered at $a = 0$ . Express the polynomials using symbolic notation and fractions.

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Problem 797

Convert $8$ grams to centigrams.

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Problem 798

Solve the linear equation $3(-9a-21)+11=8(a-1)-9$ for the variable $a$ .

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Problem 799

Solve the linear equation $-\frac{1}{4}(-16b-20)=-7b-16$ for the variable $b$ .

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Problem 800

Find the ordered pair of the function $F(x)$ if $(9,33)$ is an ordered pair of its inverse.

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Math

Problem 701

Multiply (−9)×7(-9) \times 7(−9)×7 and enter the answer.

Problem 702

Solve the rational inequality (x+7)(x−9)x−6<0\frac{(x+7)(x-9)}{x-6}<0x−6(x+7)(x−9)​<0 using the critical value method.

Problem 703

Find critical values and relative extrema of g(x)=−x3+12x−19g(x) = -x^3 + 12x - 19g(x)=−x3+12x−19. Select A if the critical value(s) exist, and fill in the answer box. Select B if the function has no critical values.

Problem 704

Solve the absolute value equation 2∣a∣−1=32|a|-1=32∣a∣−1=3.

Problem 705

Find the product and ratio of f(x)=x1/2f(x)=x^{1/2}f(x)=x1/2 and g(x)=2x3+1g(x)=\sqrt[3]{2x}+1g(x)=32x​+1, and rationalize the denominator of the ratio.

Problem 706

Find the expression for the product of (p−10q)(p-10 q)(p−10q) and (p+10q)(p+10 q)(p+10q).

Problem 707

Multiply 23.09623.09623.096 and 90.30090.30090.300. Express the result in scientific notation with correct significant figures.

Problem 708

Find the value of xxx where the ratios (3x+2):(2x+5)(3x+2):(2x+5)(3x+2):(2x+5) and 7:57:57:5 are equivalent. Provide the answer as an integer or simplified fraction.

Problem 709

Find the fraction equivalent of the repeating decimal 0.074‾0.\overline{074}0.074.

Problem 710

Convert the repeating decimal 3.2‾3.\overline{2}3.2 to a mixed number.

Problem 711

Problem 712

Sell 21 tickets for a school play, with adult tickets at 6andchildticketsat6 and child tickets at 6andchildticketsat4. Solve for the number of adult and child tickets sold.aaa = number of adult tickets, ccc = number of child tickets a+c=21a + c = 21a+c=21 6a+4c=1046a + 4c = 1046a+4c=104

Problem 713

Solve the linear equation 15+6x=45+8x15 + 6x = 45 + 8x15+6x=45+8x for the unknown variable xxx.

Problem 714

Simplify the expression 3x(x+3)+x2(x+3)3x(x+3)+x^2(x+3)3x(x+3)+x2(x+3).

Problem 715

Factor the expression 6n2−n−126n^2 - n - 126n2−n−12. If it's not factorable, write "prime".

Problem 716

Find the point of intersection of two linear equations: 4x−2y=14x - 2y = 14x−2y=1 and 3x−4y=163x - 4y = 163x−4y=16.

Problem 717

Create a division story problem about 7 feet of rope, modeled by the tape diagram: ? halves\text{? halves}? halves

Problem 718

Determine which numbers (721, 720, 372) are divisible by 10, 5, or 2.

Problem 719

For a voltmeter with 0.1 V as the smallest division, estimate measurements to the nearest 100mV100 \mathrm{mV}100mV, 10mV10 \mathrm{mV}10mV, or 1mV1 \mathrm{mV}1mV.

Problem 720

Solve for the value of xxx given the equation y=5(x−a)y=5(x-a)y=5(x−a).

Problem 721

Find the quotient of 1.76÷0.91.76 \div 0.91.76÷0.9 rounded to the nearest tenth.

Problem 722

Translate the phrase into a variable expression using ppp to represent the number of plants divided among 8 yards.

Problem 723

Harper knits a scarf 5 cm longer each night. Write an equation relating the number of nights xxx and the scarf length yyy (cm).y=5xy = 5xy=5x

Problem 724

Reflect the pre-image coordinates A(−4,−11)A(-4,-11)A(−4,−11), B(6,−11)B(6,-11)B(6,−11), and C(−4,1)C(-4,1)C(−4,1) over the xxx-axis.

Problem 725

Find the cotangent of the negative of an angle x if the cotangent of x is 0.3.

Problem 726

Find sec⁡(−x)\sec(-x)sec(−x) if sec⁡(x)=2\sec(x)=2sec(x)=2.

Problem 727

Solve the equation using the Distributive Property: 16(p+24)=10\frac{1}{6}(p+24)=1061​(p+24)=10, where p=36p=36p=36.

Problem 728

Determine if Rolle's Theorem applies to f(x)=sin⁡7xf(x) = \sin 7xf(x)=sin7x on [π/7,2π/7][\pi/7, 2\pi/7][π/7,2π/7]. If so, find the point(s) guaranteed to exist. Select A and fill in the answer if Rolle's Theorem applies, otherwise select B.

Problem 729

Find the value of xxx that satisfies the equation 7x−7=287x - 7 = 287x−7=28. Verify the solution.

Problem 730

Problem 731

Solve for ttt in the equation 74+13t=5\frac{7}{4} + \frac{1}{3}t = 547​+31​t=5.

Problem 732

Find the inverse function f−1(x)f^{-1}(x)f−1(x) if f(x)=ex+1−2f(x) = e^{x+1} - 2f(x)=ex+1−2.

Problem 733

Find the mean of a dataset with S2=10S^{2}=10S2=10, n=30n=30n=30, and ∑x2=3290\sum x^{2}=3290∑x2=3290.

Problem 734

Find the range of values for xxx given the inequality 0<2x+4<400 < 2x + 4 < 400<2x+4<40.

Problem 735

Find the equation of a line with slope 0.5.

Problem 736

Multiply (4x+1/2)(2x+1/2)(4x + 1/2)(2x + 1/2)(4x+1/2)(2x+1/2) using the FOIL method.

Problem 737

Solve the linear equation 7x+4=2x+57x + 4 = 2x + 57x+4=2x+5 for xxx. The solution is x=□x = \squarex=□.

Problem 738

Solve for x in the linear equation 3(x−4)=−93(x-4)=-93(x−4)=−9.

Problem 739

Calculate the arc length of y=14x2−12ln⁡xy=\frac{1}{4} x^{2}-\frac{1}{2} \ln xy=41​x2−21​lnx on [1,3e][1,3 e][1,3e].

Problem 740

Find the percent change in the weight Jake can lift, from 25 lbs on Monday to 45 lbs one month later.

Problem 741

Multiply $(-9) \times 7$ and enter the answer.

Solve the rational inequality $\frac{(x+7)(x-9)}{x-6}<0$ using the critical value method.

Find critical values and relative extrema of $g(x) = -x^3 + 12x - 19$ . Select A if the critical value(s) exist, and fill in the answer box. Select B if the function has no critical values.

Solve the absolute value equation $2|a|-1=3$ .

Find the product and ratio of $f(x)=x^{1/2}$ and $g(x)=\sqrt[3]{2x}+1$ , and rationalize the denominator of the ratio.

Find the expression for the product of $(p-10 q)$ and $(p+10 q)$ .

Multiply $23.096$ and $90.300$ . Express the result in scientific notation with correct significant figures.

Find the value of $x$ where the ratios $(3x+2):(2x+5)$ and $7:5$ are equivalent. Provide the answer as an integer or simplified fraction.

Find the fraction equivalent of the repeating decimal $0.\overline{074}$ .

Convert the repeating decimal $3.\overline{2}$ to a mixed number.

Sell 21 tickets for a school play, with adult tickets at $6 and child tickets at$ 4. Solve for the number of adult and child tickets sold.
$a$ = number of adult tickets, $c$ = number of child tickets $a + c = 21$ $6a + 4c = 104$

Solve the linear equation $15 + 6x = 45 + 8x$ for the unknown variable $x$ .

Simplify the expression $3x(x+3)+x^2(x+3)$ .

Factor the expression $6n^2 - n - 12$ . If it's not factorable, write "prime".

Find the point of intersection of two linear equations: $4x - 2y = 1$ and $3x - 4y = 16$ .

Create a division story problem about 7 feet of rope, modeled by the tape diagram: $\text{? halves}$

For a voltmeter with 0.1 V as the smallest division, estimate measurements to the nearest $100 \mathrm{mV}$ , $10 \mathrm{mV}$ , or $1 \mathrm{mV}$ .

Solve for the value of $x$ given the equation $y=5(x-a)$ .

Find the quotient of $1.76 \div 0.9$ rounded to the nearest tenth.

Translate the phrase into a variable expression using $p$ to represent the number of plants divided among 8 yards.

Harper knits a scarf 5 cm longer each night. Write an equation relating the number of nights $x$ and the scarf length $y$ (cm).
$y = 5x$

Reflect the pre-image coordinates $A(-4,-11)$ , $B(6,-11)$ , and $C(-4,1)$ over the $x$ -axis.

Find $\sec(-x)$ if $\sec(x)=2$ .

Solve the equation using the Distributive Property: $\frac{1}{6}(p+24)=10$ , where $p=36$ .

Determine if Rolle's Theorem applies to $f(x) = \sin 7x$ on $[\pi/7, 2\pi/7]$ . If so, find the point(s) guaranteed to exist. Select A and fill in the answer if Rolle's Theorem applies, otherwise select B.

Find the value of $x$ that satisfies the equation $7x - 7 = 28$ . Verify the solution.

Solve for $t$ in the equation $\frac{7}{4} + \frac{1}{3}t = 5$ .

Find the inverse function $f^{-1}(x)$ if $f(x) = e^{x+1} - 2$ .

Find the mean of a dataset with $S^{2}=10$ , $n=30$ , and $\sum x^{2}=3290$ .

Find the range of values for $x$ given the inequality $0 < 2x + 4 < 40$ .

Multiply $(4x + 1/2)(2x + 1/2)$ using the FOIL method.

Solve the linear equation $7x + 4 = 2x + 5$ for $x$ . The solution is $x = \square$ .

Solve for x in the linear equation $3(x-4)=-9$ .

Calculate the arc length of $y=\frac{1}{4} x^{2}-\frac{1}{2} \ln x$ on $[1,3 e]$ .

Solve the equation $z^{2} + 9 = 10z$ .

Find parabola equation $y=ax^2+bx+c$ through 3 points: a) $A(-1,7)$ , $B(0,4)$ , $C(2,10)$ b) $A(-1,-6)$ , $B(1,0)$ , $C(3,-2)$ .

Find the length of the curve $y = \log\left(\frac{e^{x} - 1}{e^{x} + 1}\right)$ from $x = 1$ to $x = 2$ .

Solve for $u$ where $4^{u}=1024$ .

Determine the constant $k$ that makes the given density function $f(x)$ a valid probability density function for the measurement error $X$ .

Find the degree of the monomial $7 a^{5} b^{9}$ . The degree of the monomial is $14$ .

Identify the real number property shown in the equation $4 \cdot 0 = 0$ .

Find the value of $c$ if the vectors $v_1 = [1, 0, 0]$ , $v_2 = [1, 1, 0]$ , and $v_3 = [1, -1, c]$ are linearly dependent.

Evaluate $x^{2}-3y^{2}+2xy$ when $x=3$ and $y=-9$ .

Find the values of y that satisfy the equation $-2=4y^2-6y$ . Round the solutions to the nearest hundredth.

Find the value of $y$ when $x=7$ , given the equation $y=x^{2}-7$ .

Sketch an angle $\theta$ such that $(6,-8)$ is on the terminal side and $\theta$ has the least positive measure. Find the exact values of the six trigonometric functions for $\theta$ .

Simplify the expression $-[-(-3)-(-(-8))] \cdot\left(-2^{4}\right)$ .

Solve the linear equation $w + 3 = 3$ for the unknown variable $w$ .

Evaluate the expression $(-3)^{3}$ .

Solve the absolute value equation $2.5|x+4|=0.5|x+4|+10$ and classify the solution(s).

Expand the expression $(x+6)(x+5)$ and illustrate the resulting product as a rectangle.

Find the exponent that makes the equation $2^{?} = 4$ true. The possible answers are $\frac{1}{2}, 1, 2, -2$ .

Find the missing value in the proportion $3 \frac{1}{2} : 7 \frac{3}{5} = x : \text{Blank\#1} \frac{\text{Blank\#2}}{\text{Blank\#3}}$ .

Explore the Subtracting Blocks eManipulative and solve the problem $52-17$ . Which action is required? A. Take away 7 cubes B. Take away 1 long C. Convert 1 long into 10 cubes D. All of the above

Solve $15(5c-7) = 9c-9$ using addition and multiplication. Find the correct value from the options: $\frac{114}{11}, \frac{16}{11}, \frac{4}{21}$ .

Find the least possible value of integer constant $k$ in the equation $x(k x-56)=-16$ with no real solution.

Find the vertical asymptotes and holes of the rational function $f(x) = \frac{x-7}{x^{2}-9 x+14}$ . B. Vertical asymptote(s) at $x=3, 5$ and hole(s) at $x=7$ .

Classify the polynomial $x^{2} - 6x + 9$ as a monomial, binomial, trinomial, or none of these.

Find the value of the expression $28.6-35+12.7-(-5.2)$ .

Solve the linear equation $-5u + 6 = -12u + 62$ for $u$ .

Given constraints and optimal solution $(x, y) = (25, 0)$ , find the values of the slack variables $s_1$ and $s_2$ .

Find the least common denominator (LCD) of the rational expressions $\frac{2}{x} + \frac{3}{x^{2}}$ .

Find the sum of $\frac{3}{10}$ , $\frac{41}{100}$ , and $\frac{22}{100}$ .

Solve $8c^2 - 41c = 42$ for $c$ . Provide exact solution(s).

Resolver para $x$ , donde $-\frac{15}{4}=-3x$ . Simplificar la respuesta tanto como sea posible.