Algebra

Problem 29801

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

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Problem 29802

Marissa deposits \$1,000 and adds \$100 monthly for 40 years at a 6.5% annual return. What's her total balance?

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Problem 29803

Simplify the expression: $2(-2-4 p)+2(-2 p-1)$ .

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Problem 29804

Which set of pairs $(x, y)$ represents a linear function? A, B, C, or D?

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Problem 29805

Lerato wants to buy a car for R160000 in 5.5 years. He has R30000 now. What's needed in his second account with 11% interest?

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Problem 29806

R2 300,00 is deposited, then R1400,00 added after 12 months. Find total after 2 years at $8\%$ and $9.5\%$ interest.

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Problem 29807

Which table shows a linear function? A: (0,6), (2,5), (5,2), (8,-1) B: (3,8), (5,4), (6,2), (8,0) C: (-6,-8), (-3,-5), (-1,-2), (2,1) D: (-6,-7), (-2,-1), (0,2), (4,8)

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Problem 29808

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

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Problem 29809

Which table shows a linear function? A: $(-3,-6), (0,-4), (3,-2), (6,0)$ ; B: $(-2,-7), (-1,-5), (0,-3), (2,-1)$ ; C: $(-6,6), (-2,0), (0,-3), (3,-6)$ ; D: $(2,0), (4,2), (6,3), (8,5)$ .

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Problem 29810

यदि $a+b+c=0$ , तब $a^{3}+b^{3}+c^{3}-a b c$ का मान क्या है? (a) $3 a b c$ (b) $2 a b c$ (c) $4 a b c$ (d) $a b c$

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Problem 29811

List all possible rational zeros of $f(x)=5x^{3}-x^{2}+2x+7$ using the rational zeros theorem.

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Problem 29812

Which table shows a linear function? A: (-3,-5), (-1,-2), (1,1), (3,5); B: (-4,3), (-1,1), (2,-1), (8,-5); C: (1,-5), (3,-2), (5,2), (7,6); D: (-3,3), (-1,0), (2,-3), (5,-6).

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Problem 29813

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

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Problem 29814

Write a cost function for a ski resort charging \$20 plus \$4.25 per hour. Identify the variables used.

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Problem 29815

Analyze the function $f(x)=\frac{x+10}{x-6}$ by answering these questions: (a) Is $(5,17)$ on $f$ ? (b) Find $f(3)$ and its point. (c) Solve $f(x)=2$ and find points. (d) Determine the domain. (e) List $x$ -intercepts. (f) List the $y$ -intercept.

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Problem 29816

Solve the equation $e^{2}+6 e+8=0$ .

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Problem 29817

Solve for $y$ in the equation $4(y-3)=24$ .

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Problem 29818

Solve the equation $i^{2}+8 i+16=0$ .

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Problem 29819

Solve the equation $g^{2}+8g+7=0$ .

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Problem 29820

Solve the quadratic equation: $k^{2}+10k+16=0$ .

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Problem 29821

Simplify $4(3 x+7)$ using the distributive property. Options: $7 x+7$ , $7 x+28$ , $12 x+7$ , $12 x+28$ .

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Problem 29822

Find the $x$ -intercepts of the function $f(x)=\frac{x^{2}+2}{x+8}$ . Options: A. $(-2,0)$ B. $(-8,0)$ C. $(2,0),(-2,0)$ D. none

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Problem 29823

Simplify $\frac{1}{2}(8 x-16)$ using the distributive property. Options: 4 x-8, 4 x-16, 16 x-8, 16 x-32.

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Problem 29824

Identify the equation for: The sum of 12 and a number equals 4 times the number. $12+n=4 n$ $12+4 n=n$ $12 n=4+n$ $12(n+4)=n$

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Problem 29825

Identify the equation for: Four more than a number is half the number. Options: $n+4=\frac{n}{2}$ , $\frac{n}{2}-4=n$ , $n-4=\frac{n}{2}$ , $4+n=\frac{n}{2}$ .

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Problem 29826

Find values of $x$ for which $f(g(x)) = g(f(x))$ where $f(x)=\sqrt{x^{2}-1}$ and $g(x)=\sqrt{x^{2}+1}$ .

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Problem 29827

Find the speed of light in the second medium using Snell's Law: $\frac{c_{1}}{c_{2}}=\frac{\sin \theta_{1}}{\sin \theta_{2}}$ for given angles.

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Problem 29828

Which equation matches: Four more than a number is half the number? Options: $n+4=\frac{n}{2}$ , $\frac{n}{2}-4=n$ , $n-4=\frac{n}{2}$ , $4+n=\frac{n}{2}$ .

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Problem 29829

Find the fixed points of the sequence defined by $a_{n+1}=\sqrt{30 a_{n}}$ .

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Problem 29830

How to prove $j(x)=11.6 e^{x}$ and $k(x)=\ln \left(\frac{x}{11.6}\right)$ are inverses? Show $j(k(x))=x$ .

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Problem 29831

Find fixed points of the sequence defined by $a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)$ .

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Problem 29832

Determine the domain of $y=\frac{t-2}{t^{2}-4}$ and write it in interval notation.

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Problem 29833

Find the grade resistance for a 2000-pound car on a $2.4^{\circ}$ uphill grade using $F=W \sin \theta$ . Answer in pounds.

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Problem 29834

Find the $11^{\text {th }}$ term of the sequence defined by $2 n^{2}-3$ .

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Problem 29835

Find the first negative term $t$ and an expression for the $n^{\text{th}}$ term of the sequence: 32, 26, 20, 14, 8.

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Problem 29836

Emily mixed 9 gal. of Brand A and 8 gal. of Brand $B$ (48% juice). What is the percent of juice in Brand A if the mix is 30%?

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Problem 29837

Solve the equation $6(3 d+1)-40=9 d+8$ for d.

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Problem 29838

Find the number such that $\frac{9}{10}$ times it plus 6 equals 51.

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Problem 29839

Find the number if it satisfies the equation: $x - 11 = 12$ .

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Problem 29840

How many mg of a metal with 45% nickel is needed to mix with 6 mg of pure nickel for a 78% nickel alloy?

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Problem 29841

Solve the system of equations: $3x + 4y = -23$ and $2y - x = -19$ . Find the correct solution from the options.

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Problem 29842

Calculate the de Broglie wavelength of an electron moving at $2.35 \times 10^{6} \mathrm{~m} / \mathrm{s}$ .

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Problem 29843

Find the value of $(x-2y)(x+2y)$ for $x=4$ and $y=\frac{1}{2}$ . Choices: 8, 9, 14, 15.

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Problem 29844

Solve for $y$ : $-1 > 2 - y$ .

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Problem 29845

A photon with a wavelength of $1.53 \mathrm{~nm}$ emits an electron with $147 \mathrm{eV}$ . Find the electron's binding energy in J.

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Problem 29846

Solve for $n$ in the inequality: $-17 < -3 - n$ .

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Problem 29847

Find the wavelength(s) of light that can't remove an electron from cesium given the energy is $376 \mathrm{~kJ/mol}$ . Choices: $200 \mathrm{~nm}$ , $242 \mathrm{~nm}$ , $320 \mathrm{~nm}$ .

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Problem 29848

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

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Problem 29849

llowing, given $a=-3$ and $b=4$ . Simplify your answers.
18. $4 a^{2}+a b-4 b$

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Problem 29850

Video spent her afternoon finishing a scarf she is knitting for her friend. The length of scarf Jen had left to finish decreased as she knit. (b)
This situation can be modeled as a linear relationship.
Complete the statement that describes the situation.
At the start of the afternoon, Jen had 18 $\square$ inches of scarf left to knit. She completed $\square$ inches of the scarf each hour.

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Problem 29851

$\left(x^{1}+3 x^{3}-4 x^{2}+5 x+3\right) \div\left(x^{2}+x+4\right)=$

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Problem 29852

4) Through: $(2,-1)$ Vertex: $(3,6)$

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Problem 29853

Question 10
Solve the problem.
A closed box with a square base has to have a volume of 17,000 cubic inches. Find a function for the surface area of the box.

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Problem 29854

Write the logarithmic equation as an exponential equation. $\log \left(\frac{1}{\sqrt[3]{10}}\right)=-\frac{1}{3}$

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Problem 29855

here is a line that includes the point $(10,-9)$ and has a slope of 2 . What is its equation in oint-slope form? se the specified point in your equation. Write your answer using integers, proper fractions nd improper fractions. Simplify all fractions. $y$ - $\square$ $=$ $\square$ ( $x$ - $\square$ ) $\square$ Submit

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Problem 29856

There is a line that includes the point $(4,3)$ and has a slope of $\frac{1}{4}$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $y-\square=\square)$

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Problem 29857

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

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Problem 29858

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

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Problem 29859

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

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Problem 29860

Lesson 5 - Negative Rational Exponents
1. Write $7^{-\frac{2}{3}}$ without exponents.
2. Write $\sqrt[4]{11^{5}}$ without radicals.

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Problem 29861

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit

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Problem 29862

Question Watch Video
Given the three functions below, which expression equals $(d \circ w$ $d(x)=5 x$ $w(x)=\sqrt{x+5} \quad z(x)=x^{4}$
Answer $\sqrt{(5 x)^{4}+5}$ $\sqrt{5 x^{4}+5}$ $\sqrt{5 x+5^{4}}$ $5 \sqrt{x^{4}+5}$

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Problem 29863

6. A student forgets to turn off a $6.00 \times 10^{2} \mathrm{~W}$ block heater of a car when the weather turns warm. If 14 h goes by before he shuts it off, how much energy is used by the heater? (Hint....think back to unit 3 energy formulas). (you answer)

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Problem 29864

Elizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

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Problem 29865

Score: 0/3 Penalty: 0.25 off Watch Video Show Examples
Question Find the slope of a line perpendicular to the line whose equation is $9 x-3 y=81$ . Fully simplify your answer. Answer Attempt 1 out of 2 Submit Answer

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Problem 29866

Solve for $y$ . $18+-1 y>19$ $\square$ Submit

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Problem 29867

12. Le réservoir d'essence de la voiture de Léonie peut contenir 50 L .
Lorsqu'elle roule sur l'autoroute, sa voiture consomme 10 L par 100 km . En ville, elle consomme 12 L par 100 km . Léonie a fait le plein dimanche. Depuis, elle a parcouru 120 km en ville et 150 km sur l'autoroute.
Quelle distance peut-elle encore parcourir sur l'autoroute sans faire le plein?
Réponse : $\qquad$ km sur l'autoroute.

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Problem 29868

$f(x)=-x^{4}+x^{2}$ e) Determine the graph of the function. A. B.

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Problem 29869

Multiply. $6 w^{8} u^{6} \cdot 2 u^{8} \cdot 4 w$
Simplify your answer as much as possible.

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Problem 29870

Rewrite without parentheses and simplify. $(3+u)^{2}$

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Problem 29871

Write an equation to describe the sequence below. Use $n$ to represent the position of a term in the sequence, where $n=1$ for the first term. $34,-102,306, \ldots$
Write your answer using decimals and integers. $a_{n}=\square(\square)^{n-1}$ Submit

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Problem 29872

Solve for $h$ . $\frac{h}{3}+6 \leq 5$ $\square$ Submit

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Problem 29873

nome
Modules Grades Syllabus Lucid (Whiteboard) Meazure Learning LTI a) $(f+g)(x)$ b) $(f-g)(x)$ c) $(f \cdot g)(x)$
In the box below, enter Yes once you have completed your work on your paper that you will submit at the end of the test.

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Problem 29874

Rewrite without parentheses and simplify. $(5-4 x)^{2}$

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Problem 29875

Rewrite without parentheses and simplify. $(6 w+7)^{2}$

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Problem 29876

2. Function $P$ represents the perimeter, in inches, of a square with side length $x$ inches. a. Complete the table. \begin{tabular}{|c|llllllll} \hline $x$ \\ \hline $P(x)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \end{tabular} b. Write an equation to represent function $P$ . c. Sketch a graph of function $P$ .

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Problem 29877

For the parabola $y=-2 x^{2}+4 x-3$ find the vertex. $(4,-3)$ $(1,-1)$ $(-1,1)$ $(-3,4)$

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Problem 29878

Find the discriminant of the equation $5 x^{2}+7 x+3=0$ . 28 34 $-11$ $-53$

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Problem 29879

6) Write the equation of the line in slope-intercept form through the points $(-2,-1)$ and $(1,-7)$ .

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Problem 29880

Add. Write your answer in simplest form. $8 \sqrt{10}+8 \sqrt{40}$ $\square$ Submit

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Problem 29881

1.4 Graphs of Linear Equations
Use the given conditions to write an equation for the line in slope-intercept form. 5) Passing through $(-2,-7)$ and $(-8,-6)$

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Problem 29882

Exercice 15. Résoudre les équations suivantes:
1. $x(x+2)(x-1)=0$ .
2. $(x+3)(1-2 x)=0$ .
3. $x^{2}-4=0$ .
4. $9-x^{2}=0$ .
5. $3 x^{2}-7 x+4=0$ .

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Problem 29883

Find an ordered pair $(x, y)$ that is a solution to the equation. $\begin{array}{c} 4 x-y=9 \\ (x, y)=(I: D) \end{array}$

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Problem 29884

For problems $1-6$ solve the equations. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places 1) $2^{z}=70$ 2) $e^{3 x+1}-200=240$ 3) $10^{5+8 x}+4200=84000$ 4) $80=320 e^{-0.5 t}$ 5) $5^{x+1}=75$ 6) $11^{1-8 x}=9^{2 x+3}$

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Problem 29885

Exponents and Polymomials Factoring a quadratic with leading coefficient greater than 1
Factor. $5 z^{2}-18 z-8$

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Problem 29886

A sales tax of $6 \%$ is added to the price of an item. If Marisa buys an item, which expression indicates how much she will pay in all? (A) $n+0.06$ (B) $0.06 n$ (C) $n+0.06 n$ (D) $0.06+0.06 n$

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Problem 29887

Q Exponents and Polynomials Factoring a quadratic with leading coefficient greater than 1
Factor. $8 x^{2}+18 x+9$ $\square$

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Problem 29888

9. What is the solution of the inequality $2 x-9<7$ ? (A) $x<8$ (B) $x \leq 8$ (C) $x>8$ (D) $x \geq 8$

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Problem 29889

20 Rationalise the denominator and simplify $1 \frac{\sqrt{48}+\sqrt{32}}{\sqrt{27}-\sqrt{18}}$

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Problem 29890

Which of the following could be the graph of $f(x)=-a(x+b)^{1 / 2}$ if both $a$ and $b$ are positive numbers? A. B.

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Problem 29891

Write a function $g$ whose graph represents the indicated transformation of the graph of $f$ .
1. $f(x)=2 x+4$ ; translation 7 units left a. $g(x)=-2 x+11$ C. $g(x)=2 x+18$ b. $g(x)=-2 x+18$ d. $g(x)=2 x+11$

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Problem 29892

Question 7: Let $\left\{\boldsymbol{u}_{1}, \boldsymbol{u}_{2}, \boldsymbol{u}_{3}\right\}$ be an orthonormal basis for a three-dimensional subspace $S$ of an inner product space $V$ , and let $\boldsymbol{x}=2 \boldsymbol{u}_{1}-\boldsymbol{u}_{2}+\boldsymbol{u}_{3} \quad \text { and } \quad \boldsymbol{y}=\boldsymbol{u}_{1}+\boldsymbol{u}_{2}-4 \boldsymbol{u}_{3} .$ a) Determine the value of $\langle\boldsymbol{x}, \boldsymbol{y}\rangle$ . b) Determine the value of $\|\boldsymbol{x}\|$ .

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Problem 29893

Estelle deposited \$5,000 in a savings account with simple interest. One year later, the account held \$5,300. What was the interest rate?
Use the formula $i=p r t$ , where $i$ is the interest earned, $p$ is the principal (starting amount), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years. $\square$ \%

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Problem 29894

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and $y$ -intercept of the function $f(x)=2^{-x}-5$
Use the graphing tool to graph the function.
Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.)

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Problem 29895

This quiz: 10 point(s) possible This question: 1 point(s) possible
Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p dollars, the revenue $R$ (in dollars) is $R(p)=-2 p^{2}+2,000 p$ . (a) At what prices $p$ is revenue zero? (b) For what range of prices will revenue exceed $\$ 400,000$ ? (a) At what prices $p$ is revenue zero?
The revenue equals zero when $p$ is $\$$ $\square$ (Use a comma to separate answers, but do not use commas in any individual numbers.) (b) For what range of prices will revenue exceed $\$ 400,000$ ? $\square$ (Type your answer i

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Problem 29896

24
Suppose that the quantity supplied $S$ and quantity demanded $D$ of $T$ -shirts at a concert are given by the following functions where $p$ is the price. $\begin{array}{l} S(p)=-250+60 p \\ D(p)=1100-75 p \end{array}$
Answer parts (a) through (c). (a) Find the equilibrium price for the $T$ -shirts at this concert.
The equilibrium price is $\$$ $\square$ (Round to the nearest dollar as needed.)
What is the equilibrium quantity? The equilibrium quantity is $\square$ T-shirts. (Type a whole number.) (b) Determine the prices for which quantity demanded is greater than quantity supplied.
For the price $\$$ $\square$ $\mathrm{p} \square \$$ \\square $, the quantity demanded is greater than quantity supplied. (c) What will eventually happen to the price of the$ T$-shirts if the quantity demanded is greater than the quantity supplied?

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Problem 29897

Find all rational zeros of $f$ . Then (if necessary) use the depressed equation to find all roots of the equation $f(x)=0$ . $f(x)=2 x^{3}-x^{2}-14 x+7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set of all zeros of the given function is $\square$ \}. (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as $n$ B. There are no real zeros.

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Problem 29898

Evaluate the following expression. $\log _{3} 3^{3}$ $\log _{3} 3^{3}=$ $\square$ (Simplify your answer.)

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Problem 29899

Let $A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}$ , then $(\operatorname{adj}(A))_{12}=$
6
05 $-6$

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Problem 29900

MATh140 Second Firstsem-2024-2025, (161745)(-4) mentie
Question 8 of 18 A matrix that is both sympetric and upper triangular must be a diagonal matrix. True Falle

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Algebra

Problem 29801

Which set of pairs (x,y)(x, y)(x,y) represents a linear function: A, B, C, or D?

Problem 29802

Marissa deposits \$1,000 and adds \$100 monthly for 40 years at a 6.5% annual return. What's her total balance?

Problem 29803

Simplify the expression: 2(−2−4p)+2(−2p−1)2(-2-4 p)+2(-2 p-1)2(−2−4p)+2(−2p−1).

Problem 29804

Which set of pairs (x,y)(x, y)(x,y) represents a linear function? A, B, C, or D?

Problem 29805

Lerato wants to buy a car for R160000 in 5.5 years. He has R30000 now. What's needed in his second account with 11% interest?

Problem 29806

R2 300,00 is deposited, then R1400,00 added after 12 months. Find total after 2 years at 8%8\%8% and 9.5%9.5\%9.5% interest.

Problem 29807

Which table shows a linear function? A: (0,6), (2,5), (5,2), (8,-1) B: (3,8), (5,4), (6,2), (8,0) C: (-6,-8), (-3,-5), (-1,-2), (2,1) D: (-6,-7), (-2,-1), (0,2), (4,8)

Problem 29808

Which set of pairs (x,y)(x, y)(x,y) represents a linear function: A, B, C, or D?

Problem 29809

Problem 29810

यदि a+b+c=0a+b+c=0a+b+c=0, तब a3+b3+c3−abca^{3}+b^{3}+c^{3}-a b ca3+b3+c3−abc का मान क्या है? (a) 3abc3 a b c3abc (b) 2abc2 a b c2abc (c) 4abc4 a b c4abc (d) abca b cabc

Problem 29811

List all possible rational zeros of f(x)=5x3−x2+2x+7f(x)=5x^{3}-x^{2}+2x+7f(x)=5x3−x2+2x+7 using the rational zeros theorem.

Problem 29812

Which table shows a linear function? A: (-3,-5), (-1,-2), (1,1), (3,5); B: (-4,3), (-1,1), (2,-1), (8,-5); C: (1,-5), (3,-2), (5,2), (7,6); D: (-3,3), (-1,0), (2,-3), (5,-6).

Problem 29813

Which set of pairs (x,y)(x, y)(x,y) represents a linear function: A, B, C, or D?

Problem 29814

Write a cost function for a ski resort charging \$20 plus \$4.25 per hour. Identify the variables used.

Problem 29815

Analyze the function f(x)=x+10x−6f(x)=\frac{x+10}{x-6}f(x)=x−6x+10​ by answering these questions: (a) Is (5,17)(5,17)(5,17) on fff? (b) Find f(3)f(3)f(3) and its point. (c) Solve f(x)=2f(x)=2f(x)=2 and find points. (d) Determine the domain. (e) List xxx-intercepts. (f) List the yyy-intercept.

Problem 29816

Solve the equation e2+6e+8=0e^{2}+6 e+8=0e2+6e+8=0.

Problem 29817

Solve for yyy in the equation 4(y−3)=244(y-3)=244(y−3)=24.

Problem 29818

Solve the equation i2+8i+16=0i^{2}+8 i+16=0i2+8i+16=0.

Problem 29819

Solve the equation g2+8g+7=0g^{2}+8g+7=0g2+8g+7=0.

Problem 29820

Solve the quadratic equation: k2+10k+16=0k^{2}+10k+16=0k2+10k+16=0.

Problem 29821

Simplify 4(3x+7)4(3 x+7)4(3x+7) using the distributive property. Options: 7x+77 x+77x+7, 7x+287 x+287x+28, 12x+712 x+712x+7, 12x+2812 x+2812x+28.

Problem 29822

Find the xxx-intercepts of the function f(x)=x2+2x+8f(x)=\frac{x^{2}+2}{x+8}f(x)=x+8x2+2​. Options: A. (−2,0)(-2,0)(−2,0) B. (−8,0)(-8,0)(−8,0) C. (2,0),(−2,0)(2,0),(-2,0)(2,0),(−2,0) D. none

Problem 29823

Simplify 12(8x−16)\frac{1}{2}(8 x-16)21​(8x−16) using the distributive property. Options: 4 x-8, 4 x-16, 16 x-8, 16 x-32.

Problem 29824

Identify the equation for: The sum of 12 and a number equals 4 times the number. 12+n=4n12+n=4 n12+n=4n 12+4n=n12+4 n=n12+4n=n 12n=4+n12 n=4+n12n=4+n 12(n+4)=n12(n+4)=n12(n+4)=n

Problem 29825

Identify the equation for: Four more than a number is half the number. Options: n+4=n2n+4=\frac{n}{2}n+4=2n​, n2−4=n\frac{n}{2}-4=n2n​−4=n, n−4=n2n-4=\frac{n}{2}n−4=2n​, 4+n=n24+n=\frac{n}{2}4+n=2n​.

Problem 29826

Find values of xxx for which f(g(x))=g(f(x))f(g(x)) = g(f(x))f(g(x))=g(f(x)) where f(x)=x2−1f(x)=\sqrt{x^{2}-1}f(x)=x2−1​ and g(x)=x2+1g(x)=\sqrt{x^{2}+1}g(x)=x2+1​.

Problem 29827

Find the speed of light in the second medium using Snell's Law: c1c2=sin⁡θ1sin⁡θ2\frac{c_{1}}{c_{2}}=\frac{\sin \theta_{1}}{\sin \theta_{2}}c2​c1​​=sinθ2​sinθ1​​ for given angles.

Problem 29828

Which equation matches: Four more than a number is half the number? Options: n+4=n2n+4=\frac{n}{2}n+4=2n​, n2−4=n\frac{n}{2}-4=n2n​−4=n, n−4=n2n-4=\frac{n}{2}n−4=2n​, 4+n=n24+n=\frac{n}{2}4+n=2n​.

Problem 29829

Find the fixed points of the sequence defined by an+1=30ana_{n+1}=\sqrt{30 a_{n}}an+1​=30an​​.

Problem 29830

How to prove j(x)=11.6exj(x)=11.6 e^{x}j(x)=11.6ex and k(x)=ln⁡(x11.6)k(x)=\ln \left(\frac{x}{11.6}\right)k(x)=ln(11.6x​) are inverses? Show j(k(x))=xj(k(x))=xj(k(x))=x.

Problem 29831

Find fixed points of the sequence defined by an+1=12(an+3an)a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)an+1​=21​(an​+an​3​).

Problem 29832

Determine the domain of y=t−2t2−4y=\frac{t-2}{t^{2}-4}y=t2−4t−2​ and write it in interval notation.

Problem 29833

Find the grade resistance for a 2000-pound car on a 2.4∘2.4^{\circ}2.4∘ uphill grade using F=Wsin⁡θF=W \sin \thetaF=Wsinθ. Answer in pounds.

Problem 29834

Find the 11th 11^{\text {th }}11th term of the sequence defined by 2n2−32 n^{2}-32n2−3.

Problem 29835

Find the first negative term ttt and an expression for the nthn^{\text{th}}nth term of the sequence: 32, 26, 20, 14, 8.

Problem 29836

Emily mixed 9 gal. of Brand A and 8 gal. of Brand BBB (48% juice). What is the percent of juice in Brand A if the mix is 30%?

Problem 29837

Solve the equation 6(3d+1)−40=9d+86(3 d+1)-40=9 d+86(3d+1)−40=9d+8 for d.

Problem 29838

Find the number such that 910\frac{9}{10}109​ times it plus 6 equals 51.

Problem 29839

Find the number if it satisfies the equation: x−11=12x - 11 = 12x−11=12.

Problem 29840

How many mg of a metal with 45% nickel is needed to mix with 6 mg of pure nickel for a 78% nickel alloy?

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

Simplify the expression: $2(-2-4 p)+2(-2 p-1)$ .

Which set of pairs $(x, y)$ represents a linear function? A, B, C, or D?

R2 300,00 is deposited, then R1400,00 added after 12 months. Find total after 2 years at $8\%$ and $9.5\%$ interest.

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

यदि $a+b+c=0$ , तब $a^{3}+b^{3}+c^{3}-a b c$ का मान क्या है? (a) $3 a b c$ (b) $2 a b c$ (c) $4 a b c$ (d) $a b c$

List all possible rational zeros of $f(x)=5x^{3}-x^{2}+2x+7$ using the rational zeros theorem.

Which set of pairs $(x, y)$ represents a linear function: A, B, C, or D?

Analyze the function $f(x)=\frac{x+10}{x-6}$ by answering these questions: (a) Is $(5,17)$ on $f$ ? (b) Find $f(3)$ and its point. (c) Solve $f(x)=2$ and find points. (d) Determine the domain. (e) List $x$ -intercepts. (f) List the $y$ -intercept.

Solve the equation $e^{2}+6 e+8=0$ .

Solve for $y$ in the equation $4(y-3)=24$ .

Solve the equation $i^{2}+8 i+16=0$ .

Solve the equation $g^{2}+8g+7=0$ .

Solve the quadratic equation: $k^{2}+10k+16=0$ .

Simplify $4(3 x+7)$ using the distributive property. Options: $7 x+7$ , $7 x+28$ , $12 x+7$ , $12 x+28$ .

Find the $x$ -intercepts of the function $f(x)=\frac{x^{2}+2}{x+8}$ . Options: A. $(-2,0)$ B. $(-8,0)$ C. $(2,0),(-2,0)$ D. none

Simplify $\frac{1}{2}(8 x-16)$ using the distributive property. Options: 4 x-8, 4 x-16, 16 x-8, 16 x-32.

Identify the equation for: The sum of 12 and a number equals 4 times the number. $12+n=4 n$ $12+4 n=n$ $12 n=4+n$ $12(n+4)=n$

Identify the equation for: Four more than a number is half the number. Options: $n+4=\frac{n}{2}$ , $\frac{n}{2}-4=n$ , $n-4=\frac{n}{2}$ , $4+n=\frac{n}{2}$ .

Find values of $x$ for which $f(g(x)) = g(f(x))$ where $f(x)=\sqrt{x^{2}-1}$ and $g(x)=\sqrt{x^{2}+1}$ .

Find the speed of light in the second medium using Snell's Law: $\frac{c_{1}}{c_{2}}=\frac{\sin \theta_{1}}{\sin \theta_{2}}$ for given angles.

Which equation matches: Four more than a number is half the number? Options: $n+4=\frac{n}{2}$ , $\frac{n}{2}-4=n$ , $n-4=\frac{n}{2}$ , $4+n=\frac{n}{2}$ .

Find the fixed points of the sequence defined by $a_{n+1}=\sqrt{30 a_{n}}$ .

How to prove $j(x)=11.6 e^{x}$ and $k(x)=\ln \left(\frac{x}{11.6}\right)$ are inverses? Show $j(k(x))=x$ .

Find fixed points of the sequence defined by $a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)$ .

Determine the domain of $y=\frac{t-2}{t^{2}-4}$ and write it in interval notation.

Find the grade resistance for a 2000-pound car on a $2.4^{\circ}$ uphill grade using $F=W \sin \theta$ . Answer in pounds.

Find the $11^{\text {th }}$ term of the sequence defined by $2 n^{2}-3$ .

Find the first negative term $t$ and an expression for the $n^{\text{th}}$ term of the sequence: 32, 26, 20, 14, 8.

Emily mixed 9 gal. of Brand A and 8 gal. of Brand $B$ (48% juice). What is the percent of juice in Brand A if the mix is 30%?

Solve the equation $6(3 d+1)-40=9 d+8$ for d.

Find the number such that $\frac{9}{10}$ times it plus 6 equals 51.

Find the number if it satisfies the equation: $x - 11 = 12$ .

Solve the system of equations: $3x + 4y = -23$ and $2y - x = -19$ . Find the correct solution from the options.

Calculate the de Broglie wavelength of an electron moving at $2.35 \times 10^{6} \mathrm{~m} / \mathrm{s}$ .

Find the value of $(x-2y)(x+2y)$ for $x=4$ and $y=\frac{1}{2}$ . Choices: 8, 9, 14, 15.

Solve for $y$ : $-1 > 2 - y$ .

A photon with a wavelength of $1.53 \mathrm{~nm}$ emits an electron with $147 \mathrm{eV}$ . Find the electron's binding energy in J.

Solve for $n$ in the inequality: $-17 < -3 - n$ .

Find the wavelength(s) of light that can't remove an electron from cesium given the energy is $376 \mathrm{~kJ/mol}$ . Choices: $200 \mathrm{~nm}$ , $242 \mathrm{~nm}$ , $320 \mathrm{~nm}$ .

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

llowing, given $a=-3$ and $b=4$ . Simplify your answers.
18. $4 a^{2}+a b-4 b$

$\left(x^{1}+3 x^{3}-4 x^{2}+5 x+3\right) \div\left(x^{2}+x+4\right)=$

4) Through: $(2,-1)$ Vertex: $(3,6)$

Question 10
Solve the problem.
A closed box with a square base has to have a volume of 17,000 cubic inches. Find a function for the surface area of the box.

Write the logarithmic equation as an exponential equation. $\log \left(\frac{1}{\sqrt[3]{10}}\right)=-\frac{1}{3}$

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

Lesson 5 - Negative Rational Exponents
1. Write $7^{-\frac{2}{3}}$ without exponents.
2. Write $\sqrt[4]{11^{5}}$ without radicals.

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit

6. A student forgets to turn off a $6.00 \times 10^{2} \mathrm{~W}$ block heater of a car when the weather turns warm. If 14 h goes by before he shuts it off, how much energy is used by the heater? (Hint....think back to unit 3 energy formulas). (you answer)

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December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

Score: 0/3 Penalty: 0.25 off Watch Video Show Examples
Question Find the slope of a line perpendicular to the line whose equation is $9 x-3 y=81$ . Fully simplify your answer. Answer Attempt 1 out of 2 Submit Answer

Solve for $y$ . $18+-1 y>19$ $\square$ Submit

$f(x)=-x^{4}+x^{2}$ e) Determine the graph of the function. A. B.

Multiply. $6 w^{8} u^{6} \cdot 2 u^{8} \cdot 4 w$
Simplify your answer as much as possible.

Rewrite without parentheses and simplify. $(3+u)^{2}$

Solve for $h$ . $\frac{h}{3}+6 \leq 5$ $\square$ Submit

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Modules Grades Syllabus Lucid (Whiteboard) Meazure Learning LTI a) $(f+g)(x)$ b) $(f-g)(x)$ c) $(f \cdot g)(x)$
In the box below, enter Yes once you have completed your work on your paper that you will submit at the end of the test.

Rewrite without parentheses and simplify. $(5-4 x)^{2}$