Math

Problem 55701

Is this true or false? A plane is one-dimensional. true false

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Problem 55702

Is it true or false that a plane and a line segment can intersect as a line segment?

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Problem 55703

Is it true or false that two lines can intersect at a point? true false

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Problem 55704

Find the length of segment $\overline{C D}$ if $C D=x$ , $B C=5x-5$ , and $B D=2x+7$ .

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Problem 55705

A rectangle's length is 3 times its width. What inequality shows the width and perimeter if it's at most 112 cm?

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Problem 55706

The patio area is $294 \mathrm{ft}^2$ . Length is $7 \mathrm{ft}$ less than width. Find width and length.

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Problem 55707

For the function $F(x)=-4+\frac{1}{x}$ , identify its domain and asymptotes. Choose the correct graph from options given.

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Problem 55708

Find the length of $\overline{L M}$ given $M N=3 x$ , $L N=4 x+9$ , and $L M=2 x+7$ .

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Problem 55709

Find the length of $\overline{I J}$ given $H I=x$ , $I J=2x+9$ , and $H J=4x$ .

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Problem 55710

Reiko's business costs \ $6500 and \$550 weekly. She earns \$900 weekly. How many weeks for profit? Model:$ 900 w > 6500 + 550 w$.

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Problem 55711

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Problem 55712

Find the domain and range of $f(x) = -4 + \frac{1}{x}$ . Choose the correct options for each.

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Problem 55713

Find $a$ and $b$ for the function $f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2+ax+b, & x \geq -4 \end{cases}$ to be continuous and differentiable.

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Problem 55714

Find the length of $\overline{N O}$ given $N P=3x$ , $N O=2x$ , and $O P=8$ .

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Problem 55715

Jenny is 8 years older than 2 times Sue's age. Their ages sum to less than 32. What is Sue's max age? 7, 8, 9, 10

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Problem 55716

Find the range and vertical asymptote of the function $f(x)=-4+\frac{1}{x}$ .

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Problem 55717

Find the largest integer such that the sum of two consecutive integers is $\leq 209$ .

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Problem 55718

Find $a$ and $b$ for the piecewise function to be continuous and differentiable: $f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2 + ax + b, & x \geq -4 \end{cases}$

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Problem 55719

What score does Vanessa need on her fourth quiz to average at least 40 if her scores are 45, 32, and 37?

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Problem 55720

Find the length of segment $\overline{K M}$ if $L M=10$ and $K L=4$ .

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Problem 55721

Find the density of silver if $20.0 \mathrm{~mL}$ of water rises to $22.4 \mathrm{~mL}$ after adding $25.0 \mathrm{~g}$ of silver.

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Problem 55722

Solve the system of equations: $m+n=-3$ and $m-4n=27$ .

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Problem 55723

Find the vertical and horizontal asymptotes of $f(x) = -4 + \frac{1}{x}$ . What are they?

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Problem 55724

Find $a$ and $b$ for the function $f(x)=\left\{\begin{array}{ll} x-8, & x<1 \\ \frac{1}{3} x^{2}+a x+b, & x \geq 1 \end{array}\right.$ to be continuous and differentiable. $a=$ and $b=$

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Problem 55725

Alicia's meal had 20g carbs, 35g protein, and 20g fat. Find the percentage of calories from each macronutrient.

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Problem 55726

Solve for $\mathrm{m} \angle \mathrm{DEF}$ given $\mathrm{m} \angle \mathrm{DEG}=83^{\circ}$ and $\mathrm{m} \angle \mathrm{GEF}=60^{\circ}$ .

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Problem 55727

Find the domain of $f(x)=\frac{1}{{(x-8)}^2}$ . Choose the correct option for the domain from A, B, C, or D.

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Problem 55728

Find the domain of $\left(\frac{f}{g}\right)(x)$ for $f(x)=-\frac{1}{x}$ and $g(x)=\sqrt{3x-9}$ .

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Problem 55729

Given the piecewise function $f$ , determine if it is continuous or differentiable at $x=-3$ . Options: 1) neither, 2) continuous only, 3) both.

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Problem 55730

Find the least common denominator of $\frac{4}{35}, \frac{1}{77}, \frac{3}{22}$ . Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

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Problem 55731

Find the domain and range of $F(x)=\frac{1}{{(x-8)}^2}$ . Choose correct options for both.

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Problem 55732

Find $(f+g)(x)$ for $f(x)=x^{3}-2 x^{2}+1$ and $g(x)=4 x^{3}-5 x+7$ .

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Problem 55733

Find $m \angle WDC$ given $m \angle EDC = 145^{\circ}$ and $m \angle EDW = 61^{\circ}$ .

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Problem 55734

Find the equation of the line with slope 1 that passes through the point $(1,5)$ .

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Problem 55735

Find $(f-g)(x)$ for $f(x)=\frac{2 x+6}{3 x}$ and $g(x)=\frac{\sqrt{x}-8}{3 x}$ .

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Problem 55736

Calculate the decimal value of $2.8 + 7.\overline{2}$ .

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Problem 55737

Graph the system of equations: 4x - 7y = 0 and 8x - 7y = 28. What type of solution exists? A, B, or C?

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Problem 55738

Find the vertical and horizontal asymptotes of $f(x)=\frac{1}{{(x-8)}^2}$ . What are they?

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Problem 55739

Simplify the expression: $10 \cdot 4p + 2p$ .

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Problem 55740

True or false: Two lines in a plane are either perpendicular or they do not intersect.

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Problem 55741

Find the asymptotes for the function $R(x)=\frac{6 x}{x+11}$ . Identify vertical, horizontal, and oblique ones.

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Problem 55742

Calculate the mass change (in kg) per mole of $\mathrm{H}_{2}$ formed in the reaction: $\mathrm{H} + \mathrm{H} \rightarrow \mathrm{H}_{2}$ , $\Delta H^{\circ}=-436.4 \mathrm{~kJ/mol}$ .

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Problem 55743

Find the range of $f(x)=\frac{1}{{(x-8)}^2}$ and identify any vertical asymptotes.

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Problem 55744

Graph the system of equations: 4x - 5y = 0 and 8x - 5y = 20.

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Problem 55745

Find the domain of $(f \circ g)(x)$ for $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

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Problem 55746

Is the function $f(x)=\left\{\begin{array}{cc}\sin (x) & x<\frac{\pi}{2} \\ \frac{2 x}{\pi} & x \geq \frac{\pi}{2}\end{array}\right.$ continuous at $x=\frac{\pi}{2}$ ? Explain.

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Problem 55747

Is it true or false that a ray has exactly one endpoint? true false

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Problem 55748

Is this statement true or false? A plane has an endpoint. true false

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Problem 55749

Are parallel lines intersecting? Answer true or false.

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Problem 55750

Find $(f \circ g)(x)$ for $f(x)=\frac{2}{x+3}$ and $g(x)=\frac{1}{2 x}$ .

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Problem 55751

Graph the water remaining in a barrel with 60 gallons leaking at 1 gallon every 10 minutes: $y = 60 - \frac{1}{10}x$ .

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Problem 55752

Find the new coordinates of point $C'$ after rotating point $C(2, -3)$ 90 degrees clockwise and translating left by 2 units. Options: $(-1,2)$ , $(-5,2)$ , $(-6,-3)$ , $(-3,2)$ .

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Problem 55753

Determine the vertical, horizontal, and oblique asymptotes of the function $R(x)=\frac{x^{3}-27}{x^{2}+2 x-15}$ . What are the vertical asymptote(s)? A. $x=$ (simplify, use commas for multiple answers) B. No vertical asymptote.

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Problem 55754

Find the circle's equation with center $(-9,0)$ and radius 5.

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Problem 55755

Which statements correctly describe Function A: $y=2x-3$ and Function B with points (4,3), (6,4), (8,5), (10,6), (12,7)?

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Problem 55756

Find the acceleration due to gravity at 6989 m, the horizontal asymptote of $g(h)$ , and solve $g(h)=0$ .

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Problem 55757

Calculate the acceleration due to gravity at a height of 6989 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 55758

Find the acceleration due to gravity at the top of a 272m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 55759

When can average speed equal instantaneous speed?

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Problem 55760

Find the acceleration due to gravity at 6320 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 55761

Find the vertical, horizontal, and oblique asymptotes of the function $R(x)=\frac{x^{3}-1}{x^{2}+x-2}$ . What are the vertical asymptote(s)? A. $\mathrm{x}=$ B. No vertical asymptote.

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Problem 55762

Find the percentage of values below $125$ in a normal distribution with mean $159$ and standard deviation $17$ .

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Problem 55763

Find $f(-4)$ for the function $f(x)=x^{2}-2x-6$ .

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Problem 55764

Find the vertical, horizontal, and oblique asymptotes for the function $T(x)=\frac{x^{3}}{x^{4}-81}$ .

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Problem 55765

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Integer Exponents.

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Problem 55766

Is Frank's diet of 2400 calories with $25\%$ carbs providing at least 130 grams of carbs per day?

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Problem 55767

Find the vertical, horizontal, and oblique asymptotes for the function $Q(x)=\frac{5 x^{2}-9 x-2}{3 x^{2}-4 x-4}$ .

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Problem 55768

Determine the domain and range of the function $f(x)=\frac{2 x^{3}-5}{x^{2}+x-6}$ .

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Problem 55769

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Integer Exponents.

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Problem 55770

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Exponents. What is the result?

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Problem 55771

Simplify the expression $\frac{a^{67}}{b^{34}}$ .

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Problem 55772

Find the acceleration due to gravity at the top of a 248-meter tall building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 55773

Simplify: $12^{53} \div 7^{53}$ using the Quotient Rule of Integer Exponents.

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Problem 55774

Calculate the square of the number using multiplication tables: $2^{2}$ .

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Problem 55775

Simplify the expression $\frac{x^{675}}{x^{453}}$ .

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Problem 55776

Calculate the gravity $g(h)$ at 7051 m above sea level using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 55777

Find the missing exponent in $\frac{e^{?}}{e^{65}}=e^{38}$ .

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Problem 55778

Find the square root of 121. If $11 \cdot 11=121$ , then $\sqrt{121}=$ 10, 11, -12, or -13?

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Problem 55779

Find side $c$ in right triangle $ABC$ with $a=8$ and $b=15$ using the Pythagorean theorem. Then, find trig functions for angle B.

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Problem 55780

Find the square root: If $20 \cdot 20=400$ , then $\sqrt{400}=$ ? Options: -15, 10, 200, 20.

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Problem 55781

Find the acceleration due to gravity at a height of 305 meters using the formula $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

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Problem 55782

What are the mean of the sample means and the mean of the sample variances from the data provided?

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Problem 55783

Find $k$ such that $y=\frac{1}{k x^{3}}$ solves $\frac{d y}{d x}=13 x^{2} y^{2}$ . Round to the nearest tenth.

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Problem 55784

Find the square root of 81. If $9 \cdot 9=81$ , then $\sqrt{81}=$ ? Options: 3, 18, $-8$ , 9.

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Problem 55785

Find the square root of 100. If $10 \cdot 10=100$ , then $\sqrt{100}=$ 10, 50, $-9$ , or 25?

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Problem 55786

Calculate the acceleration due to gravity at the top of a 340 m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 55787

Find the square root of the number. If $3 \cdot 3 = 9$ , then $\sqrt{9} = ?$ (Options: 4, 5, 3)

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Problem 55788

Calculate the acceleration due to gravity at the top of a 281-meter building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

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Problem 55789

Calculate the square root of 13 to two decimal places: $\sqrt{13}$ . Choose from 3.46, 3.16, 3.61, or 3.74.

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Problem 55790

True or false: The integral from -2 to 2 of $\frac{1}{x^{2}}$ equals $-1$ .

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Problem 55791

True or false: For any continuous function $f$ , is it true that $\int_{3}^{3} f(x) dx = f(3)$ ?

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Problem 55792

Identify the number that approximates $\sqrt{11}$ $ to two decimal places from: 3.61, 2.83, 3.32, 3.74.

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Problem 55793

Find the function $y(x)=7+\int_{2}^{x} \sin(t^{2}) dt$ given $\frac{d y}{d x}=\sin(x^{2})$ and $y(2)=7$ .

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Problem 55794

Find the 23rd term of the sequence: 17, 25, 33, 41, ...

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Problem 55795

Determine if the integral $\int_{0}^{1} \frac{1}{\sqrt{x}} d x$ converges or diverges.

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Problem 55796

Determine if the integral $\int_{0}^{1} \frac{1}{\sqrt{x}} d x$ converges or diverges.

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Problem 55797

Find the 23rd term of the sequence $26, 28, 30, 32, \ldots$

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Problem 55798

Find the square root of 46 to two decimal places: $\sqrt{46}$ .

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Problem 55799

True or false: A continuous function has an antiderivative.

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Problem 55800

Find the 40th term of the sequence: $36, 136, 236, 336, \ldots$

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1 ...555 556 557 558 559 560 561 ...661

Math

Problem 55701

Is this true or false? A plane is one-dimensional. true false

Problem 55702

Is it true or false that a plane and a line segment can intersect as a line segment?

Problem 55703

Is it true or false that two lines can intersect at a point? true false

Problem 55704

Find the length of segment CD‾\overline{C D}CD if CD=xC D=xCD=x, BC=5x−5B C=5x-5BC=5x−5, and BD=2x+7B D=2x+7BD=2x+7.

Problem 55705

A rectangle's length is 3 times its width. What inequality shows the width and perimeter if it's at most 112 cm?

Problem 55706

The patio area is 294ft2294 \mathrm{ft}^2294ft2. Length is 7ft7 \mathrm{ft}7ft less than width. Find width and length.

Problem 55707

For the function F(x)=−4+1xF(x)=-4+\frac{1}{x}F(x)=−4+x1​, identify its domain and asymptotes. Choose the correct graph from options given.

Problem 55708

Find the length of LM‾\overline{L M}LM given MN=3xM N=3 xMN=3x, LN=4x+9L N=4 x+9LN=4x+9, and LM=2x+7L M=2 x+7LM=2x+7.

Problem 55709

Find the length of IJ‾\overline{I J}IJ given HI=xH I=xHI=x, IJ=2x+9I J=2x+9IJ=2x+9, and HJ=4xH J=4xHJ=4x.

Problem 55710

Reiko's business costs \6500and$550weekly.Sheearns$900weekly.Howmanyweeksforprofit?Model:6500 and \$550 weekly. She earns \$900 weekly. How many weeks for profit? Model: 6500and$550weekly.Sheearns$900weekly.Howmanyweeksforprofit?Model:900 w > 6500 + 550 w$.

Problem 55711

Problem 55712

Find the domain and range of f(x)=−4+1xf(x) = -4 + \frac{1}{x}f(x)=−4+x1​. Choose the correct options for each.

Problem 55713

Find aaa and bbb for the function f(x)={2x+2,x<−416x2+ax+b,x≥−4f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2+ax+b, & x \geq -4 \end{cases}f(x)={2x+2,61​x2+ax+b,​x<−4x≥−4​ to be continuous and differentiable.

Problem 55714

Find the length of NO‾\overline{N O}NO given NP=3xN P=3xNP=3x, NO=2xN O=2xNO=2x, and OP=8O P=8OP=8.

Problem 55715

Jenny is 8 years older than 2 times Sue's age. Their ages sum to less than 32. What is Sue's max age? 7, 8, 9, 10

Problem 55716

Find the range and vertical asymptote of the function f(x)=−4+1xf(x)=-4+\frac{1}{x}f(x)=−4+x1​.

Problem 55717

Find the largest integer such that the sum of two consecutive integers is ≤209\leq 209≤209.

Problem 55718

Find aaa and bbb for the piecewise function to be continuous and differentiable: f(x)={2x+2,x<−416x2+ax+b,x≥−4 f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2 + ax + b, & x \geq -4 \end{cases} f(x)={2x+2,61​x2+ax+b,​x<−4x≥−4​

Problem 55719

What score does Vanessa need on her fourth quiz to average at least 40 if her scores are 45, 32, and 37?

Problem 55720

Find the length of segment KM‾\overline{K M}KM if LM=10L M=10LM=10 and KL=4K L=4KL=4.

Problem 55721

Find the density of silver if 20.0 mL20.0 \mathrm{~mL}20.0 mL of water rises to 22.4 mL22.4 \mathrm{~mL}22.4 mL after adding 25.0 g25.0 \mathrm{~g}25.0 g of silver.

Problem 55722

Solve the system of equations: m+n=−3m+n=-3m+n=−3 and m−4n=27m-4n=27m−4n=27.

Problem 55723

Find the vertical and horizontal asymptotes of f(x)=−4+1xf(x) = -4 + \frac{1}{x}f(x)=−4+x1​. What are they?

Problem 55724

Find aaa and bbb for the function f(x)={x−8,x<113x2+ax+b,x≥1f(x)=\left\{\begin{array}{ll} x-8, & x<1 \\ \frac{1}{3} x^{2}+a x+b, & x \geq 1 \end{array}\right.f(x)={x−8,31​x2+ax+b,​x<1x≥1​ to be continuous and differentiable. a=a=a= and b=b=b=

Problem 55725

Alicia's meal had 20g carbs, 35g protein, and 20g fat. Find the percentage of calories from each macronutrient.

Problem 55726

Solve for m∠DEF\mathrm{m} \angle \mathrm{DEF}m∠DEF given m∠DEG=83∘\mathrm{m} \angle \mathrm{DEG}=83^{\circ}m∠DEG=83∘ and m∠GEF=60∘\mathrm{m} \angle \mathrm{GEF}=60^{\circ}m∠GEF=60∘.

Problem 55727

Find the domain of f(x)=1(x−8)2f(x)=\frac{1}{{(x-8)}^2}f(x)=(x−8)21​. Choose the correct option for the domain from A, B, C, or D.

Problem 55728

Find the domain of (fg)(x)\left(\frac{f}{g}\right)(x)(gf​)(x) for f(x)=−1xf(x)=-\frac{1}{x}f(x)=−x1​ and g(x)=3x−9g(x)=\sqrt{3x-9}g(x)=3x−9​.

Problem 55729

Given the piecewise function fff, determine if it is continuous or differentiable at x=−3x=-3x=−3. Options: 1) neither, 2) continuous only, 3) both.

Problem 55730

Find the least common denominator of 435,177,322\frac{4}{35}, \frac{1}{77}, \frac{3}{22}354​,771​,223​. Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

Problem 55731

Find the domain and range of F(x)=1(x−8)2F(x)=\frac{1}{{(x-8)}^2}F(x)=(x−8)21​. Choose correct options for both.

Problem 55732

Find (f+g)(x)(f+g)(x)(f+g)(x) for f(x)=x3−2x2+1f(x)=x^{3}-2 x^{2}+1f(x)=x3−2x2+1 and g(x)=4x3−5x+7g(x)=4 x^{3}-5 x+7g(x)=4x3−5x+7.

Problem 55733

Find m∠WDCm \angle WDCm∠WDC given m∠EDC=145∘m \angle EDC = 145^{\circ}m∠EDC=145∘ and m∠EDW=61∘m \angle EDW = 61^{\circ}m∠EDW=61∘.

Problem 55734

Find the equation of the line with slope 1 that passes through the point (1,5)(1,5)(1,5).

Problem 55735

Find (f−g)(x)(f-g)(x)(f−g)(x) for f(x)=2x+63xf(x)=\frac{2 x+6}{3 x}f(x)=3x2x+6​ and g(x)=x−83xg(x)=\frac{\sqrt{x}-8}{3 x}g(x)=3xx​−8​.

Problem 55736

Calculate the decimal value of 2.8+7.2‾2.8 + 7.\overline{2}2.8+7.2.

Problem 55737

Graph the system of equations: 4x - 7y = 0 and 8x - 7y = 28. What type of solution exists? A, B, or C?

Problem 55738

Find the vertical and horizontal asymptotes of f(x)=1(x−8)2f(x)=\frac{1}{{(x-8)}^2}f(x)=(x−8)21​. What are they?

Problem 55739

Simplify the expression: 10⋅4p+2p10 \cdot 4p + 2p10⋅4p+2p.

Problem 55740

True or false: Two lines in a plane are either perpendicular or they do not intersect.

Find the length of segment $\overline{C D}$ if $C D=x$ , $B C=5x-5$ , and $B D=2x+7$ .

The patio area is $294 \mathrm{ft}^2$ . Length is $7 \mathrm{ft}$ less than width. Find width and length.

For the function $F(x)=-4+\frac{1}{x}$ , identify its domain and asymptotes. Choose the correct graph from options given.

Find the length of $\overline{L M}$ given $M N=3 x$ , $L N=4 x+9$ , and $L M=2 x+7$ .

Find the length of $\overline{I J}$ given $H I=x$ , $I J=2x+9$ , and $H J=4x$ .

Reiko's business costs \ $6500 and \$550 weekly. She earns \$900 weekly. How many weeks for profit? Model:$ 900 w > 6500 + 550 w$.

Find the domain and range of $f(x) = -4 + \frac{1}{x}$ . Choose the correct options for each.

Find $a$ and $b$ for the function $f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2+ax+b, & x \geq -4 \end{cases}$ to be continuous and differentiable.

Find the length of $\overline{N O}$ given $N P=3x$ , $N O=2x$ , and $O P=8$ .

Find the range and vertical asymptote of the function $f(x)=-4+\frac{1}{x}$ .

Find the largest integer such that the sum of two consecutive integers is $\leq 209$ .

Find $a$ and $b$ for the piecewise function to be continuous and differentiable: $f(x)=\begin{cases} 2x+2, & x<-4 \\ \frac{1}{6}x^2 + ax + b, & x \geq -4 \end{cases}$

Find the length of segment $\overline{K M}$ if $L M=10$ and $K L=4$ .

Find the density of silver if $20.0 \mathrm{~mL}$ of water rises to $22.4 \mathrm{~mL}$ after adding $25.0 \mathrm{~g}$ of silver.

Solve the system of equations: $m+n=-3$ and $m-4n=27$ .

Find the vertical and horizontal asymptotes of $f(x) = -4 + \frac{1}{x}$ . What are they?

Find $a$ and $b$ for the function $f(x)=\left\{\begin{array}{ll} x-8, & x<1 \\ \frac{1}{3} x^{2}+a x+b, & x \geq 1 \end{array}\right.$ to be continuous and differentiable. $a=$ and $b=$

Solve for $\mathrm{m} \angle \mathrm{DEF}$ given $\mathrm{m} \angle \mathrm{DEG}=83^{\circ}$ and $\mathrm{m} \angle \mathrm{GEF}=60^{\circ}$ .

Find the domain of $f(x)=\frac{1}{{(x-8)}^2}$ . Choose the correct option for the domain from A, B, C, or D.

Find the domain of $\left(\frac{f}{g}\right)(x)$ for $f(x)=-\frac{1}{x}$ and $g(x)=\sqrt{3x-9}$ .

Given the piecewise function $f$ , determine if it is continuous or differentiable at $x=-3$ . Options: 1) neither, 2) continuous only, 3) both.

Find the least common denominator of $\frac{4}{35}, \frac{1}{77}, \frac{3}{22}$ . Options: A. 110 B. 770 C. 2,695 D. 8,470 E. 59,290

Find the domain and range of $F(x)=\frac{1}{{(x-8)}^2}$ . Choose correct options for both.

Find $(f+g)(x)$ for $f(x)=x^{3}-2 x^{2}+1$ and $g(x)=4 x^{3}-5 x+7$ .

Find $m \angle WDC$ given $m \angle EDC = 145^{\circ}$ and $m \angle EDW = 61^{\circ}$ .

Find the equation of the line with slope 1 that passes through the point $(1,5)$ .

Find $(f-g)(x)$ for $f(x)=\frac{2 x+6}{3 x}$ and $g(x)=\frac{\sqrt{x}-8}{3 x}$ .

Calculate the decimal value of $2.8 + 7.\overline{2}$ .

Find the vertical and horizontal asymptotes of $f(x)=\frac{1}{{(x-8)}^2}$ . What are they?

Simplify the expression: $10 \cdot 4p + 2p$ .

Find the asymptotes for the function $R(x)=\frac{6 x}{x+11}$ . Identify vertical, horizontal, and oblique ones.

Calculate the mass change (in kg) per mole of $\mathrm{H}_{2}$ formed in the reaction: $\mathrm{H} + \mathrm{H} \rightarrow \mathrm{H}_{2}$ , $\Delta H^{\circ}=-436.4 \mathrm{~kJ/mol}$ .

Find the range of $f(x)=\frac{1}{{(x-8)}^2}$ and identify any vertical asymptotes.

Find the domain of $(f \circ g)(x)$ for $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

Is the function $f(x)=\left\{\begin{array}{cc}\sin (x) & x<\frac{\pi}{2} \\ \frac{2 x}{\pi} & x \geq \frac{\pi}{2}\end{array}\right.$ continuous at $x=\frac{\pi}{2}$ ? Explain.

Find $(f \circ g)(x)$ for $f(x)=\frac{2}{x+3}$ and $g(x)=\frac{1}{2 x}$ .

Graph the water remaining in a barrel with 60 gallons leaking at 1 gallon every 10 minutes: $y = 60 - \frac{1}{10}x$ .

Find the new coordinates of point $C'$ after rotating point $C(2, -3)$ 90 degrees clockwise and translating left by 2 units. Options: $(-1,2)$ , $(-5,2)$ , $(-6,-3)$ , $(-3,2)$ .

Determine the vertical, horizontal, and oblique asymptotes of the function $R(x)=\frac{x^{3}-27}{x^{2}+2 x-15}$ . What are the vertical asymptote(s)? A. $x=$ (simplify, use commas for multiple answers) B. No vertical asymptote.

Find the circle's equation with center $(-9,0)$ and radius 5.

Which statements correctly describe Function A: $y=2x-3$ and Function B with points (4,3), (6,4), (8,5), (10,6), (12,7)?

Find the acceleration due to gravity at 6989 m, the horizontal asymptote of $g(h)$ , and solve $g(h)=0$ .

Calculate the acceleration due to gravity at a height of 6989 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ . Round to four decimal places.

Find the acceleration due to gravity at the top of a 272m building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Find the acceleration due to gravity at 6320 meters using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Find the vertical, horizontal, and oblique asymptotes of the function $R(x)=\frac{x^{3}-1}{x^{2}+x-2}$ . What are the vertical asymptote(s)? A. $\mathrm{x}=$ B. No vertical asymptote.

Find the percentage of values below $125$ in a normal distribution with mean $159$ and standard deviation $17$ .

Find $f(-4)$ for the function $f(x)=x^{2}-2x-6$ .

Find the vertical, horizontal, and oblique asymptotes for the function $T(x)=\frac{x^{3}}{x^{4}-81}$ .

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Integer Exponents.

Is Frank's diet of 2400 calories with $25\%$ carbs providing at least 130 grams of carbs per day?

Find the vertical, horizontal, and oblique asymptotes for the function $Q(x)=\frac{5 x^{2}-9 x-2}{3 x^{2}-4 x-4}$ .

Determine the domain and range of the function $f(x)=\frac{2 x^{3}-5}{x^{2}+x-6}$ .

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Integer Exponents.

Simplify $23^{65} \div 23^{32}$ using the Quotient Rule of Exponents. What is the result?

Simplify the expression $\frac{a^{67}}{b^{34}}$ .

Find the acceleration due to gravity at the top of a 248-meter tall building using $g(h)=\frac{3.99 \times 10^{14}}{(6.374 \times 10^{6}+h)^{2}}$ .

Simplify: $12^{53} \div 7^{53}$ using the Quotient Rule of Integer Exponents.

Calculate the square of the number using multiplication tables: $2^{2}$ .