Browse Math problems in the Studdy Learning Bank!

Problem 3801

Find the value of $y$ using the equation $y = mx + b$ , where $m = 7$ , $x = 6$ , and $b = 2$ .

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Problem 3802

Compute the sum of the vector $\underline{x} = [4, 7, 3]$ .

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Problem 3803

Determine the area of the remaining part of a $20 \, \text{ft} \times 15 \, \text{ft}$ flag after a $10 \, \text{ft} \times 14 \, \text{ft}$ triangle is cut from the center.

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Problem 3804

Find the value of $n$ that satisfies the equation $2 \times 3 \times n = 6$ .

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Problem 3805

Solve the exponential equation $50 e^{0.035 x} = 200$ for $x$ .

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Problem 3806

Find the digit in the hundred thousands place of the cost to produce a movie that cost $\$ 3,254,107$ .

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Problem 3807

Find the absolute value of each number: $|-5|-5$ , $|4.5|$ , $|-5.10|$ , $\left|-2 \frac{3}{4}\right|$ .

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Problem 3808

1. Order $-42, -13, 6, 38$ from least to greatest: $-42 \leq -13 \leq 6 \leq 38$ . 2. Order $-6 \frac{1}{2}, -5 \frac{1}{2}, -4, -6$ from least to greatest: $-6 \frac{1}{2} \leq -6 \leq -5 \frac{1}{2} \leq -4$ . 3. Order $-8.999, 0, 17.56, -8 \frac{2}{3}$ from least to greatest: $-8.999 \leq 0 \leq -8 \frac{2}{3} \leq 17.56$ . 4. Order $-\frac{4}{10}, \frac{1}{3}, 1 \frac{8}{9}, -5$ from least to greatest: $-5 \leq -\frac{4}{10} \leq \frac{1}{3} \leq 1 \frac{8}{9}$ .

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Problem 3809

Find the value of $x$ given the equation $25 \sqrt{5} = 5^{x}$ .

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Problem 3810

Find the fraction of the whole when a whole is divided into 6 equal parts.

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Problem 3811

Solve for the product of 60 and 6.

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Problem 3812

Ell has completed $3/8$ of his $8$ -lap race. Which number line represents this fraction?

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Problem 3813

Evaluate the expression $(-9)^{2} - (-10 \div 10)$ .

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Problem 3814

Find the 100th term of the sequence $198+5 \cdot 2^{31}, 198+6 \cdot 2^{31}, 198+7 \cdot 2^{31}, \ldots$ (Do not calculate the term).

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Problem 3815

Simplify the expression $7.2 \div 2.4 - 2.3^2$ using the order of operations for decimal numbers.

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Problem 3816

Solve for $x$ in the equation $\frac{2}{5}(x+1)=g$ .

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Problem 3817

Find the total weight $t$ (in pounds) of a firefighter and their $60$ -pound equipment, where the firefighter's weight is $x$ pounds.

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Problem 3818

Simplify the expression $-(-(-4))$ by hand, then check with a calculator.

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Problem 3819

Find the place value of the digit 4 in the number $814,592$ .

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Problem 3820

Find the value of $-2 + 100 + 50$ .

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Problem 3821

Find the value of $x$ for which $g(x)=5$ , given the ordered pairs $\{(0,5),(3,4),(5,3)\}$ that define the function $g(x)$ .

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Problem 3822

Solve for the value of $t$ in the equation $8=\frac{t}{-3}+6$ .

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Problem 3823

Simplify $\sqrt{\frac{2 x}{27}}$ . Options: a) $\frac{\sqrt{2 x}}{3}$ , b) $\frac{\sqrt{2 x}}{9}$ , c) $\frac{\sqrt{6 x}}{27}$ , d) $\frac{\sqrt{6 x}}{9}$ .

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Problem 3824

Find the solutions to the quadratic equation $3x^2 + 12x + 6 = 0$ . Options: A) $x = -2 \pm \sqrt{2}$ , B) $x = -2 \pm \frac{\sqrt{30}}{3}$ , C) $x = -6 \pm \sqrt{2}$ , D) $x = -6 \pm 6\sqrt{2}$ .

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Problem 3825

What is the algebraic expression for 5 more than $z$ ?

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Problem 3826

Expand the expression $(3x-5)(x-1)(x-1)$ to a polynomial in standard form.

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Problem 3827

Determine if the point $(-1,2)$ is on the graph of $f(x)=4x^2-x-3$ . Find the value of $f(2)$ and the point on the graph. Find $x$ when $f(x)=-3$ and the point(s) on the graph. Determine the domain of $f(x)$ , the $x$ -intercept(s), and the $y$ -intercept. Choose the correct answer for whether the point $(-1,2)$ is on the graph.

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Problem 3828

Find the value of $x$ that satisfies the equation $x-3x=2(4+x)$ .

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Problem 3829

Sebastian has $x$ nickels and $y$ pennies. He has at least 20 coins worth at most $\$ 0.65$ combined. Find a possible solution.

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Problem 3830

Given function $q(x) = \frac{1}{x^2 - 9}$ , find $q(y + 3)$ .

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Problem 3831

Find the value of $x$ that solves the equation $8x = 6x - 21$ .

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Problem 3832

Find the sum of $\frac{1}{2}, \frac{2}{3}, \frac{1}{6}$ , simplify the answer, and express it as a mixed number.

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Problem 3833

Find the value of $x$ given $AC=3x+3$ , $AB=-1+2x$ , and $BC=11$ .

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Problem 3834

Find $x$ given $AC=22$ , $BC=x+14$ , and $AB=x+10$ .

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Problem 3835

Solve the equation $EF = 3x - 20$ for $x = 10$ .

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Problem 3836

Sketch the graph of the function $k(x)=-\sqrt[3]{x}$ by creating a table of values.

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Problem 3837

Find the length of line segment AC if AB=16 and BC=12, given that points A, B, and C are collinear with B between A and C.

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Problem 3838

Solve the linear equation $12y + 6x = 18$ for $x$ and $y$ .

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Problem 3839

Find the number of hundreds in 80 tens and write the resulting number.
$80 \text{ tens} = \boxed{800}$

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Problem 3840

Rewrite $0.028107$ to have 1 significant figure.

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Problem 3841

Solve for $p$ where $3+|1+p|=12$ . The solutions are $p=8$ or $p=-8$ , $p=10$ or $p=-10$ , $p=14$ or $p=-16$ , and $p=8$ or $p=-10$ .

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Problem 3842

Solve the linear equation $x - 50 = -48$ to find the value of $x$ .

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Problem 3843

Simplify the expression $\frac{-8 x-x}{3}+5 x$ by combining like terms.

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Problem 3844

A biologist measured length and mass of 20 reptiles. The equation $y=0.3x-2$ is the line of best fit. What is the approximate length of a reptile with mass 20.5 grams? A. $62 \mathrm{~cm}$ B. $66 \mathrm{~cm}$ C. $70 \mathrm{~cm}$ D. $75 \mathrm{~cm}$

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Problem 3845

Find the decimal equivalent of the repeating decimal $3.0\overline{1}$ .

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Problem 3846

Write an equation to represent "205 is 275 and $u$ more".

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Problem 3847

Find the simplified expression for the difference between $9x-9y$ and $x+4y$ .

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Problem 3848

Find 5 equations where the sum of the terms is 9, e.g. $x + y = 9$ , $a + b + c = 9$ , etc.

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Problem 3849

Given the linear equation $y=\frac{x}{2}+7$ , find the y-values for $x=2$ and $x=4$ .

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Problem 3850

Simplify the expression $-(-5.2 u-2 v)+5$ .

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Problem 3851

Evaluate the expression $4^{3} \cdot(100 \div 25)-5^{0}$ .

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Problem 3852

Find the recursive formula for the sequence $12, 16, 20, 24, 28, \ldots$ . Options: A. $a_1=4, a_n=a_{n-1}+12$ , B. $a_1=12, a_n=a_{n-1}+4$ , C. $a_1=32, a_n=a_{n-1}+4$ , D. $a_1=12, a_n=a_{n-1}-4$ .

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Problem 3853

Find the zeros and x-intercepts of $g(x)=5x^{2}+7x+2$ . Select the correct choice: A. The zeros and x-intercepts are the same, $\frac{-7\pm\sqrt{49-40}}{10}$ . B. The zeros and x-intercepts are different. The zeros are $\frac{-7\pm\sqrt{49-40}}{10}$ , and the x-intercepts are $\frac{-7\pm\sqrt{49-40}}{10}$ . C. There is no real zero solution and no x-intercept.

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Problem 3854

Find the coefficient of the quadratic expression $5a^2 - 7$ .

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Problem 3855

Find the total number of paper sheets needed for an art project with 24 students, where each student requires 3 red, 2 green, 2 blue, and 1 yellow sheet. A. $3 \times 24 + 2 \times 24 + 2 \times 24 + 1 \times 24 = 192$ sheets of paper.

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Problem 3856

When showing $\lim_{x\to 0} 4x+5=5$ with $\varepsilon=0.2$ , which $\delta$ -values work? Select all that apply: $\delta=0.0025$ , $\delta=0.016666666666667$ , $\delta=0.05$ , $\delta=0.1$ .

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Problem 3857

Find the two solutions to the equation $\frac{9}{x}=x$ . One solution is -3.

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Problem 3858

Find the exact value of $6 \cos \frac{\pi}{3} - 3 \tan \frac{\pi}{6}$ without using a calculator.

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Problem 3859

Find the value of $|m^2 - 7| + n^2$ when $m = -2$ and $n = 5$ .

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Problem 3860

Solve the quadratic equation $10w^2 - 9w - 9 = 0$ . Provide the integer solutions.

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Problem 3861

Compare the values of $-12+15$ and $2$ using <, >, or =.

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Problem 3862

The will divides the estate: $\frac{1}{4}$ to relatives, $\frac{3}{5}$ of the remaining to Charity A. What fraction of the estate goes to Charity A?

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Problem 3863

Solve $g(x)=8$ , where $g(x)=2x^2-5$ . Find the value of $x$ .

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Problem 3864

Solve the linear equation $5z + 5 = 9z - 3$ and express the solution as an integer or simplified fraction.

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Problem 3865

Solve the inequality $-(k-9) \leq 1$ . Plot the endpoints and modify the segment as directed. Submit $\mathrm{sim}$ .

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Problem 3866

Solve for $n$ in the equation $n-2=-2$ .

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Problem 3867

Find the value of $A$ when $C=8$ and $P=-2$ , given $A=C+2P$ .

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Problem 3868

Solve the linear equation $3v - 2 = 4v + 4$ to find the value of $v$ as an integer or simplified fraction.

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Problem 3869

Solve the equation $-2 = -6v - 8$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 3870

Solve the equation $1=9x-20$ . Express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 3871

Find the value of $x$ in the equation $0.05x + 0.07(10,000 - x) = 200$ .

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Problem 3872

Solve for $x$ in the equation $(16) - 0.3x = 1$ .

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Problem 3873

Solve the linear equation $7(3x - 5) = 3(x + 2) - 19$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 3874

Find the inverse equation for the linear relation $y = -5x - 7$ .

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Problem 3875

Find equation relating number of pages $p$ read by Hannah at a constant rate of 3 pages per 8 minutes.

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Problem 3876

Solve the equation $h+0=h$ and verify the solution.

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Problem 3877

Solve the given equations: $4 m-5=11$ , $-3 d+10=43$ , $\frac{2(r-3)}{4}-8=50$ , $5 h-13=12$ , $-8=3 y-2$ , $8(n+2)=24$ , $-\frac{2}{3} y-\frac{3}{4}=5$ , $\frac{p}{4}+6=8$ , $-3=-3(2 t-1)$ , $x-2(x+10)=12$ , $-15=5(3 q-10)-5 q$ , $-5(x-3)=-25$ .

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Problem 3878

Solve the equation $4x + 9 = 0$ to find the value of $x$ .

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Problem 3879

Solve the equation $9=x-1$ to find the value of $x$ .

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Problem 3880

Find the value of $M(x)=1.5x+21$ when $x=34$ , and express the answer in thousands of dollars.

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Problem 3881

Solve the linear equation $x \cdot 11 = 1$ for the variable $x$ .

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Problem 3882

Solve the linear equation $y + 12 = 7$ and express the integer solution.

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Problem 3883

Scientist measures $265 \, \mathrm{g} \cdot \mathrm{m}^{-3}$ , true value is $200 \, \mathrm{g} \cdot \mathrm{m}^{-3}$ . Find the absolute and relative error of the measurement.

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Problem 3884

Find $U V$ given $U V=x+2, V W=4$ , and $U W=2 x-3$ . Simplify the answer as a fraction or integer.

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Problem 3885

What does $5.2 \mathrm{E}-7$ represent on a calculator? (0.000000052)

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Problem 3886

Solve for $a$ in the equation $3a^3 + 2a = -5a^2$ . Find the value of $a$ .

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Problem 3887

Calculate the product of $4.550 \times 11.4$ and record the answer to the correct number of significant figures.

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Problem 3888

Solve the equation $14x - 5y = 20$ for the variable $x$ .

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Problem 3889

Find the value of $m$ that satisfies the equation $0.4(20-10 m) = 2.5 - 2 m - 12.5$ .

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Problem 3890

Solve the equation $r=x-h$ for the variable $x$ .

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Problem 3891

Determine which group correctly wrote the equation $7c-8=14(6c+12)$ .

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Problem 3892

Determine if $3(x-5)+6x=4x+5(x-3)$ is a conditional equation, identity, or contradiction.

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Problem 3893

Solve the equation $5x - (x + 3) = 3(2 - 2x) + x$ and simplify the solution $x = [?]$ .

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Problem 3894

Solve for $w$ in the equation $w-16=8.7$ . (Simplify your answer. Type an integer or a decimal.)

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Problem 3895

Find the value of $f(x) = 5 \sin^{-1}(\sin(x)) + 3 \cos^{-1}(\sin(4x))$ at $x = \pi/3$ without a calculator.

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Problem 3896

Solve for the width $w$ in the volume equation $V = l w h$ .

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Problem 3897

Simplify the division problem $\frac{7}{4} \div 1 \frac{3}{4}$ and select the correct answer.

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Problem 3898

Write the equation for the statement "Negative six times the absolute value of two minus five times p is -54" and solve for p. Equation: $-6|2-5p|=-54$ ; solution: $p=2.2$ and $-1.4$ .

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Problem 3899

Find the number of bows Jesse can make with $41 \frac{1}{4}$ inches of ribbon, if each bow requires $3 \frac{3}{4}$ inches. Write a division expression to solve this.

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Problem 3900

Interpret the slope $1.3$ of the linear equation $Y = 1.3x - 5.3$ as a rate of change, explaining its meaning for the change in both variables.

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Math

Problem 3801

Find the value of yyy using the equation y=mx+by = mx + by=mx+b, where m=7m = 7m=7, x=6x = 6x=6, and b=2b = 2b=2.

Problem 3802

Compute the sum of the vector x‾=[4,7,3]\underline{x} = [4, 7, 3]x​=[4,7,3].

Problem 3803

Determine the area of the remaining part of a 20 ft×15 ft20 \, \text{ft} \times 15 \, \text{ft}20ft×15ft flag after a 10 ft×14 ft10 \, \text{ft} \times 14 \, \text{ft}10ft×14ft triangle is cut from the center.

Problem 3804

Find the value of nnn that satisfies the equation 2×3×n=62 \times 3 \times n = 62×3×n=6.

Problem 3805

Solve the exponential equation 50e0.035x=20050 e^{0.035 x} = 20050e0.035x=200 for xxx.

Problem 3806

Find the digit in the hundred thousands place of the cost to produce a movie that cost $3,254,107\$ 3,254,107$3,254,107.

Problem 3807

Find the absolute value of each number: ∣−5∣−5|-5|-5∣−5∣−5, ∣4.5∣|4.5|∣4.5∣, ∣−5.10∣|-5.10|∣−5.10∣, ∣−234∣\left|-2 \frac{3}{4}\right|∣∣​−243​∣∣​.

Problem 3808

Problem 3809

Find the value of xxx given the equation 255=5x25 \sqrt{5} = 5^{x}255​=5x.

Problem 3810

Find the fraction of the whole when a whole is divided into 6 equal parts.

Problem 3811

Solve for the product of 60 and 6.

Problem 3812

Ell has completed 3/83/83/8 of his 888-lap race. Which number line represents this fraction?

Problem 3813

Evaluate the expression (−9)2−(−10÷10)(-9)^{2} - (-10 \div 10)(−9)2−(−10÷10).

Problem 3814

Find the 100th term of the sequence 198+5⋅231,198+6⋅231,198+7⋅231,…198+5 \cdot 2^{31}, 198+6 \cdot 2^{31}, 198+7 \cdot 2^{31}, \ldots198+5⋅231,198+6⋅231,198+7⋅231,… (Do not calculate the term).

Problem 3815

Simplify the expression 7.2÷2.4−2.327.2 \div 2.4 - 2.3^27.2÷2.4−2.32 using the order of operations for decimal numbers.

Problem 3816

Solve for xxx in the equation 25(x+1)=g\frac{2}{5}(x+1)=g52​(x+1)=g.

Problem 3817

Find the total weight ttt (in pounds) of a firefighter and their 606060-pound equipment, where the firefighter's weight is xxx pounds.

Problem 3818

Simplify the expression −(−(−4))-(-(-4))−(−(−4)) by hand, then check with a calculator.

Problem 3819

Find the place value of the digit 4 in the number 814,592814,592814,592.

Problem 3820

Find the value of −2+100+50-2 + 100 + 50−2+100+50.

Problem 3821

Find the value of xxx for which g(x)=5g(x)=5g(x)=5, given the ordered pairs {(0,5),(3,4),(5,3)}\{(0,5),(3,4),(5,3)\}{(0,5),(3,4),(5,3)} that define the function g(x)g(x)g(x).

Problem 3822

Solve for the value of ttt in the equation 8=t−3+68=\frac{t}{-3}+68=−3t​+6.

Problem 3823

Simplify 2x27\sqrt{\frac{2 x}{27}}272x​​. Options: a) 2x3\frac{\sqrt{2 x}}{3}32x​​, b) 2x9\frac{\sqrt{2 x}}{9}92x​​, c) 6x27\frac{\sqrt{6 x}}{27}276x​​, d) 6x9\frac{\sqrt{6 x}}{9}96x​​.

Problem 3824

Find the solutions to the quadratic equation 3x2+12x+6=03x^2 + 12x + 6 = 03x2+12x+6=0. Options: A) x=−2±2x = -2 \pm \sqrt{2}x=−2±2​, B) x=−2±303x = -2 \pm \frac{\sqrt{30}}{3}x=−2±330​​, C) x=−6±2x = -6 \pm \sqrt{2}x=−6±2​, D) x=−6±62x = -6 \pm 6\sqrt{2}x=−6±62​.

Problem 3825

What is the algebraic expression for 5 more than zzz?

Problem 3826

Expand the expression (3x−5)(x−1)(x−1)(3x-5)(x-1)(x-1)(3x−5)(x−1)(x−1) to a polynomial in standard form.

Problem 3827

Problem 3828

Find the value of xxx that satisfies the equation x−3x=2(4+x)x-3x=2(4+x)x−3x=2(4+x).

Problem 3829

Sebastian has xxx nickels and yyy pennies. He has at least 20 coins worth at most $0.65\$ 0.65$0.65 combined. Find a possible solution.

Problem 3830

Given function q(x)=1x2−9q(x) = \frac{1}{x^2 - 9}q(x)=x2−91​, find q(y+3)q(y + 3)q(y+3).

Problem 3831

Find the value of xxx that solves the equation 8x=6x−218x = 6x - 218x=6x−21.

Problem 3832

Find the sum of 12,23,16\frac{1}{2}, \frac{2}{3}, \frac{1}{6}21​,32​,61​, simplify the answer, and express it as a mixed number.

Problem 3833

Find the value of xxx given AC=3x+3AC=3x+3AC=3x+3, AB=−1+2xAB=-1+2xAB=−1+2x, and BC=11BC=11BC=11.

Problem 3834

Find xxx given AC=22AC=22AC=22, BC=x+14BC=x+14BC=x+14, and AB=x+10AB=x+10AB=x+10.

Problem 3835

Solve the equation EF=3x−20EF = 3x - 20EF=3x−20 for x=10x = 10x=10.

Problem 3836

Sketch the graph of the function k(x)=−x3k(x)=-\sqrt[3]{x}k(x)=−3x​ by creating a table of values.

Problem 3837

Find the length of line segment AC if AB=16 and BC=12, given that points A, B, and C are collinear with B between A and C.

Problem 3838

Solve the linear equation 12y+6x=1812y + 6x = 1812y+6x=18 for xxx and yyy.

Problem 3839

Find the number of hundreds in 80 tens and write the resulting number.80 tens=80080 \text{ tens} = \boxed{800}80 tens=800​

Problem 3840

Rewrite 0.0281070.0281070.028107 to have 1 significant figure.

Problem 3841

Find the value of $y$ using the equation $y = mx + b$ , where $m = 7$ , $x = 6$ , and $b = 2$ .

Compute the sum of the vector $\underline{x} = [4, 7, 3]$ .

Determine the area of the remaining part of a $20 \, \text{ft} \times 15 \, \text{ft}$ flag after a $10 \, \text{ft} \times 14 \, \text{ft}$ triangle is cut from the center.

Find the value of $n$ that satisfies the equation $2 \times 3 \times n = 6$ .

Solve the exponential equation $50 e^{0.035 x} = 200$ for $x$ .

Find the digit in the hundred thousands place of the cost to produce a movie that cost $\$ 3,254,107$ .

Find the absolute value of each number: $|-5|-5$ , $|4.5|$ , $|-5.10|$ , $\left|-2 \frac{3}{4}\right|$ .

Find the value of $x$ given the equation $25 \sqrt{5} = 5^{x}$ .

Ell has completed $3/8$ of his $8$ -lap race. Which number line represents this fraction?

Evaluate the expression $(-9)^{2} - (-10 \div 10)$ .

Find the 100th term of the sequence $198+5 \cdot 2^{31}, 198+6 \cdot 2^{31}, 198+7 \cdot 2^{31}, \ldots$ (Do not calculate the term).

Simplify the expression $7.2 \div 2.4 - 2.3^2$ using the order of operations for decimal numbers.

Solve for $x$ in the equation $\frac{2}{5}(x+1)=g$ .

Find the total weight $t$ (in pounds) of a firefighter and their $60$ -pound equipment, where the firefighter's weight is $x$ pounds.

Simplify the expression $-(-(-4))$ by hand, then check with a calculator.

Find the place value of the digit 4 in the number $814,592$ .

Find the value of $-2 + 100 + 50$ .

Find the value of $x$ for which $g(x)=5$ , given the ordered pairs $\{(0,5),(3,4),(5,3)\}$ that define the function $g(x)$ .

Solve for the value of $t$ in the equation $8=\frac{t}{-3}+6$ .

Simplify $\sqrt{\frac{2 x}{27}}$ . Options: a) $\frac{\sqrt{2 x}}{3}$ , b) $\frac{\sqrt{2 x}}{9}$ , c) $\frac{\sqrt{6 x}}{27}$ , d) $\frac{\sqrt{6 x}}{9}$ .

Find the solutions to the quadratic equation $3x^2 + 12x + 6 = 0$ . Options: A) $x = -2 \pm \sqrt{2}$ , B) $x = -2 \pm \frac{\sqrt{30}}{3}$ , C) $x = -6 \pm \sqrt{2}$ , D) $x = -6 \pm 6\sqrt{2}$ .

What is the algebraic expression for 5 more than $z$ ?

Expand the expression $(3x-5)(x-1)(x-1)$ to a polynomial in standard form.

Find the value of $x$ that satisfies the equation $x-3x=2(4+x)$ .

Sebastian has $x$ nickels and $y$ pennies. He has at least 20 coins worth at most $\$ 0.65$ combined. Find a possible solution.

Given function $q(x) = \frac{1}{x^2 - 9}$ , find $q(y + 3)$ .

Find the value of $x$ that solves the equation $8x = 6x - 21$ .

Find the sum of $\frac{1}{2}, \frac{2}{3}, \frac{1}{6}$ , simplify the answer, and express it as a mixed number.

Find the value of $x$ given $AC=3x+3$ , $AB=-1+2x$ , and $BC=11$ .

Find $x$ given $AC=22$ , $BC=x+14$ , and $AB=x+10$ .

Solve the equation $EF = 3x - 20$ for $x = 10$ .

Sketch the graph of the function $k(x)=-\sqrt[3]{x}$ by creating a table of values.

Solve the linear equation $12y + 6x = 18$ for $x$ and $y$ .

Find the number of hundreds in 80 tens and write the resulting number.
$80 \text{ tens} = \boxed{800}$

Rewrite $0.028107$ to have 1 significant figure.

Solve for $p$ where $3+|1+p|=12$ . The solutions are $p=8$ or $p=-8$ , $p=10$ or $p=-10$ , $p=14$ or $p=-16$ , and $p=8$ or $p=-10$ .

Solve the linear equation $x - 50 = -48$ to find the value of $x$ .

Simplify the expression $\frac{-8 x-x}{3}+5 x$ by combining like terms.

Find the decimal equivalent of the repeating decimal $3.0\overline{1}$ .

Write an equation to represent "205 is 275 and $u$ more".

Find the simplified expression for the difference between $9x-9y$ and $x+4y$ .

Find 5 equations where the sum of the terms is 9, e.g. $x + y = 9$ , $a + b + c = 9$ , etc.

Given the linear equation $y=\frac{x}{2}+7$ , find the y-values for $x=2$ and $x=4$ .

Simplify the expression $-(-5.2 u-2 v)+5$ .

Evaluate the expression $4^{3} \cdot(100 \div 25)-5^{0}$ .

Find the coefficient of the quadratic expression $5a^2 - 7$ .

Find the total number of paper sheets needed for an art project with 24 students, where each student requires 3 red, 2 green, 2 blue, and 1 yellow sheet. A. $3 \times 24 + 2 \times 24 + 2 \times 24 + 1 \times 24 = 192$ sheets of paper.

Find the two solutions to the equation $\frac{9}{x}=x$ . One solution is -3.

Find the exact value of $6 \cos \frac{\pi}{3} - 3 \tan \frac{\pi}{6}$ without using a calculator.

Find the value of $|m^2 - 7| + n^2$ when $m = -2$ and $n = 5$ .

Solve the quadratic equation $10w^2 - 9w - 9 = 0$ . Provide the integer solutions.

Compare the values of $-12+15$ and $2$ using <, >, or =.

The will divides the estate: $\frac{1}{4}$ to relatives, $\frac{3}{5}$ of the remaining to Charity A. What fraction of the estate goes to Charity A?

Solve $g(x)=8$ , where $g(x)=2x^2-5$ . Find the value of $x$ .

Solve the linear equation $5z + 5 = 9z - 3$ and express the solution as an integer or simplified fraction.

Solve the inequality $-(k-9) \leq 1$ . Plot the endpoints and modify the segment as directed. Submit $\mathrm{sim}$ .

Solve for $n$ in the equation $n-2=-2$ .

Find the value of $A$ when $C=8$ and $P=-2$ , given $A=C+2P$ .

Solve the linear equation $3v - 2 = 4v + 4$ to find the value of $v$ as an integer or simplified fraction.

Solve the equation $-2 = -6v - 8$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

Solve the equation $1=9x-20$ . Express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

Find the value of $x$ in the equation $0.05x + 0.07(10,000 - x) = 200$ .

Solve for $x$ in the equation $(16) - 0.3x = 1$ .

Solve the linear equation $7(3x - 5) = 3(x + 2) - 19$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

Find the inverse equation for the linear relation $y = -5x - 7$ .