Math

Problem 53901

13557=5625=1 \frac{3}{5}-\frac{5}{7}=\frac{56}{\square}-\frac{25}{\square}=

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Problem 53902

Ahmad ordered some books online for $8\$ 8 each. He paid a total of $5\$ 5 for shipping. The total cost of the purchase was $133\$ 133. How many books did he buy? (a) White an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 8,5 , and 133 . Let bb represent the number of books. 8b+5=1338 b+5=133
\square bb- \square \square (b) Solve the equation in part (a) to find the number of books. b=16b=16 I Don't Know Submit

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Problem 53903

What is the difference? 7823\frac{7}{8}-\frac{2}{3} 421\frac{4}{21} 5M\frac{5}{M} 124\frac{1}{24} 1

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Problem 53904

Evaluate (if possible): csc(2π3)\csc\left(\frac{2\pi}{3}\right)

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Problem 53905

6 "The sum of 3-3 and four times a number is no more than 11-11." Inequality: 4x3114x - 3 \le -11

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Problem 53906

Visualizing Fraction Subtra What is the difference? CLEAR 7385127 \frac{3}{8}-5 \frac{1}{2} 1581 \frac{5}{8} 1781 \frac{7}{8}
2182 \frac{1}{8} 2582 \frac{5}{8}

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Problem 53907

3x=2143x = 2\frac{1}{4}
3x÷3=214÷33x \div 3 = 2\frac{1}{4} \div 3
x=?÷3x = ? \div 3
Divide by 3 on both sides.
Write 2142\frac{1}{4} as a fraction.

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Problem 53908

What is the difference? 23712\frac{2}{3}-\frac{7}{12} 124\frac{1}{24}
(4)
1524\frac{15}{24} 59\frac{5}{9}
112\frac{1}{12}

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Problem 53909

What are the coordinates of point J? A. (0,3)(0, 3) B. (3,0)(-3, 0) C. (3,0)(3, 0) D. (0,3)(0, -3)

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Problem 53910

What is the aifference? 111113\frac{11}{1-1}-\frac{1}{3}

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Problem 53911

Points R(1,3)R(-1,3) and S(4,1)S(4,1) are shown on the coordinate plane below.
Donna claims that the distance between points RR and SS is 13\sqrt{13} units because (14)2+(31)2=(3)2+22=9+4=1\sqrt{(-1-4)^{2}+(3-1)^{2}}=\sqrt{(-3)^{2}+2^{2}}=\sqrt{9+4}=1

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Problem 53912

Subtracting Fractions - Item 20117 Learning
What is the difference? 111223\frac{11}{12}-\frac{2}{3} 14\frac{1}{4} 1924\frac{19}{24}
1 18\frac{1}{8}

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Problem 53913

Step 3 of 3: Plot the point on the line with the yy-coordinate y=9y = -9. Answer Keypad Keyboard Shortcut Standard Form Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved. Enable Zoom/Pan

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Problem 53914

(c) (i)
2. Find the area enclosed between the graphs o

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Problem 53915

Lines jj and kk are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.
Select the claim that is true about lines jj and kk for all cases.

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Problem 53916

Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=973\mathrm{n}=973 and x=600x=600 who said "yes." Use a 95\% confidence level.
䏹 Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion pp. 0.617 (Round to three decimal places as needed.) b) Identify the value of the margin of error EE. E=E=\square (Round to three decimal places as needed.)

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Problem 53917

Problem 1. (1 point)
A function ff and value aa are given. Approximate the limit of the difference quotient, limh0f(a+h)f(a)h\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}, using h=±0.1,±0.01h= \pm 0.1, \pm 0.01. f(x)=sinx,a=πf(x)=\sin x, \quad a=\pi
When h=0.1,f(a+h)f(a)h=h=0.1, \frac{f(a+h)-f(a)}{h}= \square When h=0.1,f(a+h)f(a)h=h=-0.1, \frac{f(a+h)-f(a)}{h}= \square When h=0.01,f(a+h)f(a)h=h=0.01, \frac{f(a+h)-f(a)}{h}= \square When h=0.01,f(a+h)f(a)h=h=-0.01, \frac{f(a+h)-f(a)}{h}= \square Note: You can earn partial credit on this problem.

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Problem 53918

18. You decide to contribute \$180 per month into a retirement account at 2.9% annually and your company matches 50 cents for every dollar you deposit into your retirement plan. Round to two decimal places as needed.
a) What will your company contribute each month?
b) What could you type in Excel to find the total of the retirement after 42 years?
c) If the total value in the account after 42 years is \$265,395.85, how much interest have you gained?

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Problem 53919

Lesson 1 Practice Problems
1. This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon.

morning afternoon total grade 6 15 8 23 grade 8 18 21 39 grade 10 12 26 38 total 45 55 100
a. How many students participated in the survey? b. How many students in grade 8 prefer to have gym in the morning? c. How many grade 10 students participated in the survey? d. How many students prefer to have gym in the afternoon?

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Problem 53920

The recipe makes close to 9169 \frac{1}{6} cups of Sprinkle Chow. After the show, the co-host eats 3183 \frac{1}{8} cups of Sprinkle Chow and the show's producer eats 4134 \frac{1}{3} cups. How much Sprinkle Chow does that leave for you to take home?

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Problem 53921

45
18. 3x2+3x3=03 x^{2}+3 x-3=0

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Problem 53922

Use synthetic division to decide whether the given number is a zero of the polynomial function. 14\frac{1}{4}; f(x)=4x4+8x3x+7f(x) = 4x^4 + 8x^3 - x + 7
Is 14\frac{1}{4} a zero of the polynomial function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The given number is not a zero of the polynomial function. The value f(14)=f\left(\frac{1}{4}\right) = ____. (Type an integer or a simplified fraction.)

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Problem 53923

5. Geben Sie jeweils drei Stammfunktionen von ff an. a) f(x)=x5f(x) = x^5 b) f(x)=2x3+5x24x+7f(x) = 2x^3 + 5x^2 - 4x + 7 c) f(x)=axnf(x) = ax^n d) f(x)=sinxf(x) = \sin{x} e) f(z)=0f(z) = 0 f) f(t)=t1t2f(t) = t - \frac{1}{t^2}
6. Geben Sie eine Stammfunktion von ff an, deren Graph durch den vorgegebenen Punkt PP verläuft. a) f(x)=3x52x3+7f(x) = 3x^5 - 2x^3 + 7; P(01)P(0|1) b) f(x)=14x412x2f(x) = \frac{1}{4}x^4 - \frac{1}{2}x^2; P(10)P(1|0) c) f(z)=z21z2f(z) = z^2 - \frac{1}{z^2}; P(22)P(-2|2)
7. Geben Sie eine Stammfunktion an und berechnen Sie das Integral. a) 12(x3x2)dx\int_{-1}^{2} (x^3 - x^2) dx b) 12(2x53x3+4x)dx\int_{1}^{2} (2x^5 - 3x^3 + 4x) dx c) 11(4x33x4)dx\int_{-1}^{1} (4x^3 - 3x^4) dx d) 13(at+bt2)dt\int_{-1}^{3} (at + bt^2) dt e) 14(2x314x)dx\int_{1}^{4} (2x^3 - \frac{1}{4\sqrt{x}}) dx f) 21(2x24x3)dx\int_{-2}^{-1} (\frac{2}{x^2} - \frac{4}{x^3}) dx

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Problem 53924

What is 2%2 \% of 52?52 ?

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Problem 53925

Question 3 [5 points] 3.1 Graph the following piecewise function f(x)={x21x02x10<x53x>5f(x)=\left\{\begin{array}{ll} x^{2}-1 & x \leq 0 \\ 2 x-1 & 0<x \leq 5 \\ 3 & x>5 \end{array}\right. (3 points)
Domainct straight line Cr 3.2.1 State the domain and Range of the piecewise? (2 points)
Domain: ((-\infty, ( \infty r range: [1,9\left[-1, \frac{\infty}{9}\right. 4 starts at 0 Natincludir

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Problem 53926

Y?Y? X?X? 7979^\circ 119119^\circ XX X?X? Y?Y? 5656^\circ 8585^\circ XX 2X2X Y?Y? X?X? 2X492X-49^\circ 2X102X-10^\circ 2X+152X+15^\circ 8X+58X+5^\circ X?X? X?X? 5252^\circ X+16X+16^\circ 3X223X-22^\circ 2X+122X+12^\circ 2X+102X+10^\circ 2- CALCULE O VALOR DOS ANGULOSIANGULOS SU

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Problem 53927

Question Help \nabla
Monica deposits $300\$ 300 into a savings account that pays a simple interest rate of 4.6%4.6 \%. Paul deposits $400\$ 400 into a savings account that pays a simple interest rate of 4.3%4.3 \%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response. \square Monica will earn \ \squarein1yearwhilePaulwillearn$ in 1 year while Paul will earn \$ \square$ in 1 year.
Monica is incorrect. Monica is correct.

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Problem 53928

Find all exact solutions on the interval [0,2π)[0,2 \pi). If there is more than one answer, enter them as a comma separated list. 2cos2(t)+cos(t)=1t= is help (angles) \begin{array}{l} 2 \cos ^{2}(t)+\cos (t)=1 \\ t=\quad \text { is help (angles) } \end{array}

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Problem 53929

2. Algebra: Structural Properties (1) Determine the following structural properties for each of the binary algebraic structures below. (I suggest making a table. You don't need to prove anything.) - Is the structure associative? - Is the structure commutative? - What is the cardinality of the structure (be as specific as you can)? - Does the structure have a left/right/2-sided identity? - Does the structure have any idempotents (an idempotent is an element of the group, xx, for which xx=x)x * x=x) ? (a) (R+,)\left(\mathbb{R}^{+}, \oslash\right), where ab=aba \oslash b=\frac{a}{b}. (b) (L,)(L, \circ), where L={f:RRf(x)=ax+b,a,bR}L=\{f: \mathbb{R} \rightarrow \mathbb{R} \mid f(x)=a x+b, a, b \in \mathbb{R}\}, and \circ denotes function composition. (c) (R2,)\left(\mathbb{R}^{2}, \star\right), where (a,b)(c,d)=(ac,ad+b)(a, b) \star(c, d)=(a c, a d+b). (d) (P(S),)(\mathcal{P}(S), \cup), where P(S)\mathcal{P}(S) denotes the powerset of SS, and S={1,2,3}S=\{1,2,3\}. (e) (P(S),)(\mathcal{P}(S), \cap), where P(S)\mathcal{P}(S) denotes the powerset of SS, and S={1,2,3}S=\{1,2,3\}.

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Problem 53930

Click to capitalize the movie's title correctly. life of pi Submit

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Problem 53931

(a) 1+x\sqrt{1+x}. (b) 11x3x1 - \frac{1}{x-3x} (c) Find all solutions of i. 2sin2θ3sinθ=02\sin{2\theta} - 3\sin{\theta} = 0. ii. 32cosθ+12sinθ=1\frac{\sqrt{3}}{2}\cos{\theta} + \frac{1}{2}\sin{\theta} = 1

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Problem 53932

x+5x+7x(x+8)=\frac{x+5}{x} + \frac{7}{x(x+8)} =

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Problem 53933

Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime.
w32y3w^3 - 2y^3
Factored Form
prime
w2yw - 2y
w2+wy+y2w^2 + wy + y^2
w2wyy2w^2 - wy - y^2
w22y2w^2 - 2y^2

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Problem 53934

The equations of three lines are given below. Line 1: y=2x5y=-2 x-5 Line 2: y=2x+4y=-2 x+4 Line 3: 3x6y=63 x-6 y=6
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

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Problem 53935

Question 9 of 75
Question 9 Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime. a3x216a3x+64a3b3x2+16b3x64b3a^3x^2 - 16a^3x + 64a^3 - b^3x^2 + 16b^3x - 64b^3 Factored Form prime (ab)(a-b) (a+b)(a+b) a2+ab+b2a^2 + ab + b^2 a2abb2a^2 - ab - b^2 (x8)2(x-8)^2 (x+8)2(x+8)^2 (x+8)(x+8) Need help with this question?

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Problem 53936

b. What point estimate can we use to construct a confidence interval for the difference between the two datasets? Include appropriate units. The point estimate we can use to construct a confidence interval for the difference between the two datasets is 3.065 . c. What is the margin of error? Include appropriate units.
The margin of error is ±3.499%\pm 3.499 \%. d. What is the 95%95 \% confidence interval? Use interval notation.
The 95%95 \% confidence interval is [0.433,6.564][-0.433,6.564]. e. Interpret the confidence interval in context of the application, using appropriate units. Confidence inteiral for the means f. Does your interval contain zero? What does this tell us about the research question? Explain your answer in the context of your research.

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Problem 53937

wand check the linear equation. (2) 2(x1)=x+1(x5)-2(x-1)=x+1-(x-5)
What is the solution? A. The solution set is \square

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Problem 53938

Name Ibrahim #14 12/15/24
Solve Area Problems
1. Reason There is a rectangular shaped pond with a path around it, as shown. What is the area of the path? How do you know?
LESSON 9.4 More Practice/Homework
ONLINE Video Tutorials and Interactive Examples
path pond 11 yd 15 yd 6 yd 10 yd
Find the area of the shaded part of the rectangle. 10 mm

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Problem 53939

43. 14+(42)+(36)-14+(-42)+(-36)
44. (28)3(2-8)-3
46. 134-13 \cdot 4
47. 909\frac{-90}{9}
49. 3(4)+78÷43(-4)+7-8 \div 4
50. (814)÷2[4+(7)](8-14) \div 2[4+(-7)]

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Problem 53940

Question: Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answer Attempt 1 out of 3
The two triangles are related by ____, so the triangles ____.

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Problem 53941

2(x+5)23(x+5)+12(x+5)^2 - 3(x+5) + 1

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Problem 53942

2,800÷40=?2,800 \div 40 = ?

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Problem 53943

The following table gives a two-way classification of the responses.
| | Should be paid, PAID | Should not be paid, PAID\overline{PAID} | Total | |---------------------|----------------------|-----------------------------------|-------| | Student athlete, SA | 90 | 10 | 100 | | Student non-athlete, SNA | 210 | 90 | 300 | | Total | 300 | 100 | 400 |
a) If one student is randomly selected from these 400 students, find the probability that this student
i. Is in favour of paying college athletes P(PAID)=P(PAID) =
ii. Favours paying college athletes given that the student selected is a non-athlete P(PAIDSNA)=P(PAID | SNA) =
iii. Is an athlete and favours paying student athletes P(SAPAID)=P(SA \cap PAID) =
iv. Is a non-athlete or is against paying student athletes P(SNAPAID)=P(SNA \cup \overline{PAID}) =

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Problem 53944

x13=5x - 13 = 5 x=x = Type a response

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Problem 53945

Factor completely. x436y6x^4 - 36y^6

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Problem 53946

20x=20020x = 200 x=x =

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Problem 53947

Consider the following activation energy diagram.
T1T_1 T2>T1T_2 > T_1 EaE_a
From the above activation energy diagram it is seen that the reaction rate will \_\_\_\_\_i\_\_\_\_\_ at \_\_\_\_\_ii\_\_\_\_\_ temperature. The statement above is completed by information in row:

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Problem 53948

QUIZ: Solve Two-Step Equations with Integers
Solve. 4x21=91-4 x-21=91
Enter your answer in the box. x=x=\square

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Problem 53949

Lines Finding slope given the graph of a line in quadrant 1 that models a real-... Your answer is incorrect. A bucket is being filled with water. The graph below shows the water height (in mm) versus the time the water has been running (in seconds). Use the graph to answer the questions.
(a) How much does the height of the water increase for each second the water is running? 2020 mm
(b) What is the slope of the line?

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Problem 53950

WXZYXZ.\angle W X Z \cong \angle Y X Z .
Which term describes XZ\overline{X Z} ? median angle bisector altitude none of these

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Problem 53951

Question A company orders 25 boxed lunches from a deli for \$208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer Attempt 1 out of 2 \$ per lunch Submit Answer

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Problem 53952

2. You lose an online auction for an autograph. Your losing bid of $42\$ 42 is 60%60 \% of the winning bid. How much less was your bid than the winning bid?

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Problem 53953

Convert: 6mi1,616ft=6 \mathrm{mi} 1,616 \mathrm{ft}= \square ft Submit

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Problem 53954

(4z3+6z2)÷z2 (4z^3 + 6z^2) \div z^2 Divide. If there is a remainder, include it as a simplified fr

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Problem 53955

Evaluate the surface integral SFdS\iint_S \mathbf{F} \cdot d\mathbf{S} for the given vector field F\mathbf{F} and the oriented surface SS. In other words, find the flux of F\mathbf{F} across SS. F(x,y,z)=xizj+yk\mathbf{F}(x, y, z) = x\mathbf{i} - z\mathbf{j} + y\mathbf{k} SS is the part of the sphere x2+y2+z2=9x^2 + y^2 + z^2 = 9 in the first octant, with orientation toward the origin

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Problem 53956

Check for Understanding
Question 1 (1 point) Which of the following functions is increasing on its domain? f(x)=x24f(x)=x^{2}-4 f(x)=x+8f(x)=|x|+8 f(x)=lnxf(x)=\ln x

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Problem 53957

Factor the following trinomial completely. x224x+144x^2 - 24x + 144 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x224x+144=x^2 - 24x + 144 = B. x224x+144x^2 - 24x + 144 is prime.

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Problem 53958

of weeks since subscribers to Lana's channel is proportional to the square root of the number already had 100 she launched her podcast. Sixteen weeks after launching her podcast, Lana ubscribers. After 25 weeks, she had 125 subscribers. weeks after b. Does the number of subscribers grow at a constant rate? How do you know? c. According to the model, how many subscribers will Lana's podacst have after 36 weeks? After 81 weeks?

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Problem 53959

Analyzing and graphing rational functions.pdf Download Analyzing and graphing rational functions.pdf (414 KB) Page 8
4. f(x)=2x2x21f(x)=\frac{2 x^{2}}{x^{2}-1}

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Problem 53960

For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1 Line 2 Line 3 Line 4
Positive Negative Zero Undefined
Positive Negative Zero Undefined
Positive Negative Zero Undefined
Positive Negative Zero Undefined

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Problem 53961

2. y=x7y=x-7 xx-int: \qquad yy-int: \qquad

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Problem 53962

Let pp be the population proportion for the following condition. Find the point estimates for pp and qq. In a survey of 1806 adults from country A, 637 said that they were not confident that the food they eat in country AA is safe.
The point estimate for p,p^p, \hat{p}, is \square (Round to three decimal places as needed.) The point estimate for q,q^q, \hat{q}, is \square (Round to three decimal places as needed.)

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Problem 53963

4. Caroline's cell phone plan costs \$32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?
Caroline's Cell Phone Plan
| Month | 1 | 2 | 3 | 4 | |---|---|---|---|---| | Total Amount Paid | \$0 | \$32 | \$64 | \$96 |
Caroline's Cell Phone Plan
| Month | 1 | 2 | 3 | 4 | |---|---|---|---|---| | Total Amount Paid | \$8 | \$16 | \$24 | \$32 |
Caroline's Cell Phone Plan
| Month | 1 | 2 | 3 | 4 | |---|---|---|---|---| | Total Amount Paid | \$32 | \$36 | \$40 | \$44 |
Caroline's Cell Phone Plan
| Month | 1 | 2 | 3 | 4 | |---|---|---|---|---| | Total Amount Paid | \$32 | \$64 | \$96 | \$128 |
O A O B O C O D

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Problem 53964

For the pair of numbers, find a third whole number such that the three numbers form a Pythagorean triple. 40,4240, 42 The third number of the Pythagorean triple is 000\boxed{\phantom{000}}. (Type a whole number.)

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Problem 53965

4. Find the inverse of each of the following one-to-one functions: (a) f(x)=2x2f(x)=2 x-2 y=2x2+2y+22=8x2\begin{array}{l} \begin{array}{r} y=2 x-2 \\ +2 \end{array} \\ \frac{y+2}{2}=\frac{8 x}{2} \end{array} (b) h(x)=2x4h(x)=\frac{2}{x-4}

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Problem 53966

2. Jose has a job proof reading documents. In 1 hour he was able to proof read 20 documents.
Which equation best represents yy, the total number of documents Francisco proofreads in xx hours if he continues at this rate?
A x=y+20x = y + 20 B y=x+20y = x + 20 C x=20yx = 20y D y=20xy = 20x

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Problem 53967

What is the range of this function? y=xy = \sqrt{x} {yy<0}\{y | y < 0\} {yy>0}\{y | y > 0\} {yy0}\{y | y \le 0\} {yy0}\{y | y \ge 0\}

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Problem 53968

15. The figure shows a uniform rod (length L=1.0 mL=1.0 \mathrm{~m}, mass =2.0 kg=2.0 \mathrm{~kg} ) suspended from a pivot a distance d=0.25 md=0.25 \mathrm{~m} above its center of mass. The angular frequency (in rad/s) for small oscillations is approximately axis a. 1.0 b. 2.5 c. 1.5 d. 4.1 e. 3.5

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Problem 53969

Evaluate the expression for the given value of the variables. 0.3k4mk=20 and m=2\begin{array}{l} 0.3 k-4 m \\ k=20 \text { and } m=-2 \end{array}
The expression 0.3k4 m0.3 \mathrm{k}-4 \mathrm{~m} is equal to \square when k=20\mathrm{k}=20 and m=2\mathrm{m}=-2. (Type an integer or a decimal. Simplify your answer.)

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Problem 53970

Aaron has two cats, Whiskers and Duchess. He gives each cat a set amount of canned food every day. He gives Whiskers a total of 14 ounces of food every 4 days.
This equation describes how many ounces of food, yy, Aaron gives Duchess every xx days: y=3.75xy=3.75 x
Which cat receives more food each day?
Whiskers Duchess
How much food would that cat receive in 7 days? \square ounces
Submit Work it out Not feeling ready yet? These can help:

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Problem 53971

Multiple Choice 1 point In the following equation, which axis is the transverse axis and what are the intercepts: 4y225x2=1004y^2 - 25x^2 = 100?
yy - axis, (0,5)(0,-5), (0,5)(0,5) xx - axis, (0,5)(0,-5), (0,5)(0,5) yy - axis, (0,2)(0,2), (0,2)(0,-2) xx - axis, (0,2)(0,2), (0,2)(0,-2) Clear my selection

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Problem 53972

Write the standard form of the equation of the circle with its center at ( 7,0-7,0 ), and a radrus of 3
What is the equation of the circle in standard form? \square (Simplify your answer.)

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Problem 53973

Let y=log2(x)y = \log_2(x). Rewrite the equation so that it begins with x=x =. Think about how you defined y=log2(x)y = \log_2(x) if you get stuck. Put a large box around both equations. Do the two equations look the same? Do the two equations mean the same thing? Are they equivalent? How do you know? This is very important. Think about it, and write a clear explanation.

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Problem 53974

Rewrite this number in decimal notation without the use of exponents or scientific notation: 4.312×10104.312 \times 10^{10} answer = \square Answers may be entered with or without commas, but answers must be exact (no rounding at all). Also, do not include any spaces in your answer. Submit Question

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Problem 53975

(8s6+4s5+18s4+4s3)÷2s4 (8s^6 + 4s^5 + 18s^4 + 4s^3) \div 2s^4 Divide. If there is a remainder, include it as a simplified fraction. Work it out Not feeling ready yet? This can h Submit

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Problem 53976

Fred and Ann are knitting scarves. It takes Fred 8 hours to knit 32 inches. This table shows how long it takes Ann to knit different lengths: \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Ann's scarf } \\ \hline Hours & Inches knitted \\ \hline 2 & 9 \\ \hline 4 & 18 \\ \hline 6 & 27 \\ \hline \end{tabular}
Assuming they each knit at a constant rate, who knits faster?
Fred
Ann
Neither; the rates are the same.

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Problem 53977

A magazine includes a report on the energy costs per year for 32 -inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32 -inch LCD televisions have a sample standard deviation of $3.56\$ 3.56. Assume the sample is taken from a normally distributed population. Construct 90%90 \% confidence intervals for (a) the population variance σ2\sigma^{2} and (b) the population standard deviation σ\sigma. Interpret the results. (a) The confidence interval for the population variance is \square , ). (Round to two decimal places as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. With 10%10 \% confidence, you can say that the population variance is between
\square and \square B. With 90%90 \% confidence, you can say that the population variance is less than C. With 90%90 \% confidence, you can say that the population variance is between \square D. With 10%10 \% confidence, you can say that the and \square population variance is greater than

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Problem 53978

If 103x=10(x8)10^{3x} = 10^{(x-8)}, solve for xx. Show that your solution works by checking your answer.

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Problem 53979

The cone shown has a diameter of 8 centimeters and a slant height of 5 centimeters. Which choice is closest to the total surface area? Use 3.14 to approximate π\pi. 63 square centimeters 113 square centimeters 126 square centimeters 327 square centimeters 8 cm 5 cm CLEAR CHECK

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Problem 53980

Using the thermodynamic information in the ALEKS Data tab, calculate the standard reaction entropy of the following chemical reaction:\text{Using the thermodynamic information in the ALEKS Data tab, calculate the standard reaction entropy of the following chemical reaction:} Al2O3(s)+3H2(g)2Al(s)+3H2O(g)\mathrm{Al}_{2} \mathrm{O}_{3}(\mathrm{s}) + 3 \mathrm{H}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{Al}(\mathrm{s}) + 3 \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) Round your answer to zero decimal places.\text{Round your answer to zero decimal places.} 180JK180 \frac{\mathrm{J}}{\mathrm{K}} ×10\square \times 10
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
Dialogue Transcript:\text{Dialogue Transcript:}
Assistant:\text{Assistant:} Hello! It looks like you need to calculate the standard reaction entropy for the given chemical reaction using thermodynamic data. However, there seems to be some missing information needed to proceed with the calculation, such as the standard entropy values for the reactants and products.\text{Hello! It looks like you need to calculate the standard reaction entropy for the given chemical reaction using thermodynamic data. However, there seems to be some missing information needed to proceed with the calculation, such as the standard entropy values for the reactants and products.}
Could you please provide the standard entropy (S°) values for each substance involved in the reaction: Al₂O₃(s), H₂(g), Al(s), and H₂O(g)? Once you provide those values, I can help you calculate the standard reaction entropy.\text{Could you please provide the standard entropy (S°) values for each substance involved in the reaction: Al₂O₃(s), H₂(g), Al(s), and H₂O(g)? Once you provide those values, I can help you calculate the standard reaction entropy.}
User:\text{User:} Al2O3=321.7,H2=130.7,Al=28.3,H2O=188.8\text{Al}_2\text{O}_3 = -321.7, \, \text{H}_2 = 130.7, \, \text{Al} = 28.3, \, \text{H}_2\text{O} = 188.8

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Problem 53981

For this week's discussion, you are asked to generate a continuous and differentiable function f(x)f(x) with the following properties: - f(x)f(x) is decreasing at x=6x=-6 - f(x)f(x) has a local minimum at x=3x=-3 - f(x)f(x) has a local maximum at x=3x=3
Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function.
Hints: - Use calculus! - Before specifying a function f(x)f(x), first determine requirements for its derivative f(x)f^{\prime}(x). For example, one of the requirements is that f(3)=0f^{\prime}(-3)=0. - If you want to find a function g(x)g(x) such that g(9)=0g(-9)=0 and g(8)=0g(8)=0, then you could try g(x)=(x+9)(x8)g(x)=(x+9)(x-8). - If you have a possible function for f(x)f^{\prime}(x), then use the techniques in Indefinite Integrals this Module to try a possible f(x)f(x).
You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label " f(x)=f(x)= " is already provided for you.
Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the xx-axis go from -6 to 6 . It is recommended that you put a multiplication symbol between variables or between a variable and π\pi (should you use it). Example: Write sin(πx)\sin (\pi \cdot x) instead of sin(πx)\sin (\pi x). f(x)=f(x)= \square

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Problem 53982

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate π\pi.
24 square inches 47 square inches 52 square inches 31 square inches

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Problem 53983

A triangular parcel of land has sides of lengths 740 feet, 670 feet and 594 feet.
a) What is the area of the parcel of land? Round your answer to 2 decimal places Area =
b) If land is valued at \$2400 per acre (1 acre is 43,560 feet\(^{2}\)), what is the value of the parcel of land? Round your answer to 2 decimal places. value = Question Help: Worked Example

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Problem 53984

Object 1 (mass=7.4 kg) traveling in the +x direction at a speed of 13.84m/s undergoes an inelastic collision with Object 2 (mass=6.10kg) which is at rest. Object two flies off at a speed of 9.95m/s and an angle θ2=40.7\theta_2 = 40.7^\circ. The diagram below is just a sketch and is not meant to have accurate angles. It is possible that Object 1 travels back and to the left, though it is *not* possible for it to travel in the -y direction. (Do you know why?)
What is the total momentum in x direction after the collision?
What is the momentum of Object 1 in the y direction after the collision?
What is the speed of Object 1 after the collision?
What is the angle θ1\theta_1 in degrees? (Do not enter units)

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Problem 53985

Let f(x)=2xf(x)=2|x| If g(x)g(x) is the graph of f(x)f(x) shifted left 4 units, write a formula for g(x)g(x) g(x)=g(x)= \square Submit Question

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Problem 53986

4. Which inequality is true when x=4x=4 ? A. x+53x+5 \leq 3 B. 9x>369 x>36 C. x2<3\frac{x}{2}<3 D. 18x818 \leq x-8

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Problem 53987

1+2sintcost1 + 2\sin{t}\cos{t} (sint+cost)2(\sin{t} + \cos{t})^2 sin2t+2sintcost+cos2t\sin^2{t} + 2\sin{t}\cos{t} + \cos^2{t} sin2t+sin2t\sin^2{t} + \sin{2t} Which expression is NOT equal to 1+sin2t1 + \sin{2t}?

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Problem 53988

Add. 1112+89\frac{11}{12} + \frac{8}{9} Write your answer as a fraction in simplest form.

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Problem 53989

 所 36=89\frac{\text { 所 }}{36}=\frac{8}{9}

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Problem 53990

Solve the equation y26=15-\frac{y}{2}-6=15 and identify the properties used in steps 2 and 4 of the solution.

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Problem 53991

Calculate the mean absolute deviation for the data set: 21, 26, 46, 44, 22.

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Problem 53992

Add the numbers 455,428 and 367.599. What is the sum?

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Problem 53993

Find the range, variance, and standard deviation of these proposal costs: 38, 45, 45, 60, 65, 90, 90, 170, 190, 200, 270, 375, 500, 1500, 2750. Check for outliers and their impact on variation.

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Problem 53994

Find the perimeter of rectangle ABCDABCD where AB=(x+1)AB=(x+1) cm, DC=(x+3)DC=(x+3) cm, and area is 2424 cm².

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Problem 53995

Use the remainder theorem to find the remainder of f(x)f(x) when divided by x2x-2. Is x2x-2 a factor of f(x)f(x)? f(x)=3x411x3+13x+14 f(x)=3 x^{4}-11 x^{3}+13 x+14

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Problem 53996

Find the range, variance, and standard deviation of the top 10 TV personalities' salaries: 39, 38, 36, 30, 20, 19, 18, 17, 16.7, 15.6. What does this say about salary variation in general? The range is \$ \square million.

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Problem 53997

Find the equivalent expression for 10510 \sqrt{5}. Options: A. 500\sqrt{500}, B. 105\sqrt{105}, C. 50\sqrt{50}, D. 15\sqrt{15}.

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Problem 53998

Find the remainder of f(x)=3x32x2+2x+1f(x) = 3x^3 - 2x^2 + 2x + 1 when divided by x1x-1 and check if x1x-1 is a factor.

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Problem 53999

Rewrite the expression 6x2+16x62x24x\frac{-6 x^{2}+16 x-6}{2 x^{2}-4 x} as q(x)+r(x)2x24xq(x)+\frac{r(x)}{2 x^{2}-4 x}.

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Problem 54000

Find the remainder of f(x)=4x664x4+x211f(x) = 4x^6 - 64x^4 + x^2 - 11 when divided by x+4x + 4 and check if x+4x + 4 is a factor.

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