Expression

Problem 9801

Calculate the sum: 9.725×103+3.58×102+6.19.725 \times 10^{3} + 3.58 \times 10^{2} + 6.1 and round to the correct significant figures.

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Problem 9802

Simplify (800+444y)/4(800+444 y) / 4 and choose the correct equivalent expression from the options provided.

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Problem 9803

Convert a material's density of 430 kg/ft³ to g/cup, rounding to the nearest whole number using given conversion factors.

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Problem 9804

Simplify 5(198y)5(19-8y) and find its equivalent expression from the options: (A) 9535y95-35y, (B) 95+40y95+40y, 8540y85-40y, 9540y95-40y.

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Problem 9805

Calculate 0.505/0.20.505 / 0.2 and round your answer to the correct number of significant figures.

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Problem 9806

A baker uses 131213 \frac{1}{2} cups of flour for key lime bread, 2142 \frac{1}{4} cups per loaf. How many loaves does she sell?

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Problem 9807

Simplify 3(26p7+14h)3(26 p - 7 + 14 h) and find the equivalent expression from the options given.

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Problem 9808

How many different car choices can you make with 3 body styles, 3 colors, and 6 models?

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Problem 9809

How many different car choices are there with 3 body styles, 3 colors, and 6 models?

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Problem 9810

Simplify 5(6x+17y9z)5(6 x+17 y-9 z) and find the equivalent expression from the options provided.

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Problem 9811

Express "One does not think hard" symbolically, given ss: "One thinks hard".

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Problem 9812

Find the sine of T\angle T.
Write your answer in simplified, rationalized form. Do not round. sin(T)=\sin (T)= \square

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Problem 9813

Divide the polynomial P=6x3+3x+2P=6 x^{3}+3 x+2 by D=3x21D=3 x^{2}-1. Find the quotient QQ and remainder RR such that PD=Q+RD\frac{P}{D}=Q+\frac{R}{D} Q(x)=R(x)=\begin{array}{l} Q(x)= \\ R(x)= \end{array}

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Problem 9814

Find the indefinite integral. (4t5t2)dt=\int\left(\frac{4}{t}-\frac{5}{t^{2}}\right) d t= \square +C+C

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Problem 9815

234 Rounded to the nearest ten:
503 Rounded to the nearest ten:
8,218 ounded to the 429 Va arest tent:
5,407 dd to the en: \qquad 134) rour

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Problem 9816

12-6
1. What is the value of a÷a4a \div a^{-4} when a=2a=2 2÷24=22 \div 2^{-4}=2
2. For x=1x=1 and y=1y=-1, give the value of the expression 15x2y3+18yx1+27xy415 x^{2} y^{-3}+18 y x^{-1}+27 x y^{4}
3. Find the integer k such that 33+33+33=2433k3^{3}+3^{3}+3^{3}=243 \cdot 3^{\mathrm{k}} (Hint: Express 243 as a power of 3 .)
4. Let aa and bb be nonzero numbers. Simplify (6a2b)2÷(3a2b3)\left(6 a^{2} b\right)^{2} \div\left(3 a^{2} b^{3}\right). Express your answer as a number times a power of a times a power of bb.
5. 48((2)24(3))4-8\left((-2)^{2}-4(-3)\right)
6. 525(23)25 \cdot 2^{5}-(2 \cdot 3)^{2}

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Problem 9817

Write the expression as a single logarithm. 3log2x13log2y+5log2z3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z

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Problem 9818

4 Find the following products: a (2x23x+5)(3x1)\left(2 x^{2}-3 x+5\right)(3 x-1) b (4x2x+2)(2x+5)\left(4 x^{2}-x+2\right)(2 x+5) c (2x2+3x+2)(5x)\left(2 x^{2}+3 x+2\right)(5-x) d (x2)2(2x+1)(x-2)^{2}(2 x+1) e (x23x+2)(2x2+4x1)\left(x^{2}-3 x+2\right)\left(2 x^{2}+4 x-1\right) f (3x2x+2)(5x2+2x3)\left(3 x^{2}-x+2\right)\left(5 x^{2}+2 x-3\right) g (x2x+3)2\left(x^{2}-x+3\right)^{2} h (2x2+x4)2\left(2 x^{2}+x-4\right)^{2} (2x+5)3(2 x+5)^{3} ) (x3+x22)2\left(x^{3}+x^{2}-2\right)^{2}

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Problem 9819

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10g+9g+2g8g10 g+9 g+2 g-8 g \square jubmit

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Problem 9820

Simplify each expression: Write the formula you will use to solve the Trig function a) Cos7π12Cos5π12+Sin7π12sin5π12\operatorname{Cos} \frac{7 \pi}{12} \operatorname{Cos} \frac{5 \pi}{12}+\operatorname{Sin} \frac{7 \pi}{12} \sin \frac{5 \pi}{12}

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Problem 9821

(127)(0.1)7(0.9)5\binom{12}{7}(0.1)^{7}(0.9)^{5}

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Problem 9822

lect the expressions that are equivalent to (5k+3)+(6k+3)(-5 k+3)+(6 k+3) (6k+3)+(5k+3)6k+3+5k+35k+6k+6\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array} k+6k+6

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Problem 9823

log25=\log \frac{2}{5}= \square ln24.7=\ln 24.7=

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Problem 9824

5. 343x3+64343 x^{3}+64

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Problem 9825

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank rate of 163416 \frac{3}{4} liters per minute. The tank also has a drain that allows solution to leave the tank at a rate 194519 \frac{4}{5} liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complet sentences. Answer:

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Problem 9826

10. 1024x4648x1024 x^{4}-648 x

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Problem 9827

ATH 0993 - Math 12 part 2 (Sep 2023) nformation ए. Flag question
2. Convert the given angle to radians: 720-\mathbf{7 2 0}{ }^{\circ}

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Problem 9828

Zhange each percent or fraction to a decimal. 1) 70%=70100=70 \%=\frac{70}{100}= 2) 17%=17100=0.1717 \%=\frac{17}{100}=0.17 3) 4%4 \% 4) 412%412 \% 0.70 5) 35100=0.35\frac{35}{100}=0.35 6) 3100.3\frac{3}{10} 0.3 7) 1141 \frac{1}{4} 8) 16\frac{1}{6}

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Problem 9829

Sebuah benda bermassa 500 g bergerak * dengan kelajuan 6 m/s6 \mathrm{~m} / \mathrm{s}. Momentum benda tersebut adalah .... 0,6kg.m/s 1,0 kg.m/s 1,4 kg.m/s 2,5 kg.m/s 3,0 kg.m/s

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Problem 9830

Find reciprocal of sum 1R1+1400\frac{1}{R_{1}}+\frac{1}{400}

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Problem 9831

[2] 6. Simplify 243x2-4|3-x|, given that x<3x<3. (a) 4x104 x-10 (b) 2x62 x-6 (c) 62x6-2 x (d) 144x14-4 x

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Problem 9832

Add. Write your answer in simplest form. 95+559 \sqrt{5}+5 \sqrt{5} \square Submit

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Problem 9833

Add. Write your answer in simplest form. 107+27-10 \sqrt{7}+2 \sqrt{7} \square Submit

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Problem 9834

Question Use the power rule to rewrite the expression logk3\log k^{3} ?
Provide your answer below:

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Problem 9835

Consider the following proof:
1. ¬FB\neg \mathrm{F} \rightarrow \mathrm{B}
2. ¬B\neg B FVE\therefore \mathrm{FVE}

Which of the following is a derivation needed for this proof? F=E\rightarrow F \vee=E -F E\rightarrow \mathrm{E}

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Problem 9836

Simplify. 109\sqrt{\frac{10}{9}}

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Problem 9837

Factor x23x+2x^{2}-3 x+2 using FOIL backwards

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Problem 9838

Simplify. 627\sqrt{\frac{6}{27}}

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Problem 9839

53. 155\frac{15}{\sqrt{5}}
54. 518\frac{5}{\sqrt{18}}
58. 32a5b32ab2\frac{\sqrt{32 a^{5} b^{3}}}{\sqrt{2 a b^{2}}}
62. 9160x8y11535xy25\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}} 67.) 7337\frac{\sqrt{7}-\sqrt{3}}{\sqrt{3}-\sqrt{7}}
55. 83k\frac{8 \sqrt{3}}{\sqrt{k}}
59. 645x335x\frac{6 \sqrt{45 x^{3}}}{3 \sqrt{5 x}} 6323+563 \frac{2}{3+\sqrt{5}}
68. 7+55+2\frac{\sqrt{7}+\sqrt{5}}{\sqrt{5}+\sqrt{2}}
56. 25rm3\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}
60. 625x6y435xy3\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}
64. 2+563\frac{2+\sqrt{5}}{6-\sqrt{3}}
69. 32742+5\frac{3 \sqrt{2}-\sqrt{7}}{4 \sqrt{2}+\sqrt{5}}
57. 1093\sqrt[3]{\frac{10}{9}}
61. 27xy73xy3\frac{\sqrt[3]{27 x y^{7}}}{\sqrt[3]{x y}}
65. 1+23+5\frac{1+\sqrt{2}}{3+\sqrt{5}}
70. 53323223\frac{5 \sqrt{3}-3 \sqrt{2}}{3 \sqrt{2}-2 \sqrt{3}}
66. aa+b\frac{\sqrt{a}}{\sqrt{a}+\sqrt{b}}

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Problem 9840

26x(x2+8)3dx=\int_{2}^{6} \frac{x}{\left(x^{2}+8\right)^{3}} d x=

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Problem 9841

Simplify. 354\sqrt{\frac{35}{4}}

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Problem 9842

Answer =8×38×4+150=2448+150=4×644×2+25×6=2682+56=7682\begin{array}{l} =\sqrt{8} \times \sqrt{3}-\sqrt{8} \times 4+\sqrt{150} \\ =\sqrt{24}-4 \sqrt{8}+\sqrt{150} \\ =\sqrt{4 \times 6}-4 \sqrt{4 \times 2}+\sqrt{25 \times 6} \\ =2 \sqrt{6}-8 \sqrt{2}+5 \sqrt{6} \\ =7 \sqrt{6}-8 \sqrt{2} \end{array}

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Problem 9843

Cassidy has 10 rose bushes and 15 azalea bushes to plant. What is the greatest amount of equal rows she can make wha no plants left over?

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Problem 9844

Simplify. 10125\sqrt{\frac{10}{125}}

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Problem 9845

A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner.
If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times? (0.75)5(0.75)^{5} (0.25)5(0.25)^{5} (0.75)4(0.75)^{4} (51)(0.75)4(0.25)\binom{5}{1}(0.75)^{4}(0.25) (0.75)4(0.25)(0.75)^{4}(0.25)

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Problem 9846

Simplify the expression using the order of operations. 8+2×42=8+2×=8+=\begin{aligned} 8+2 \times 4^{2} & =8+2 \times \square \\ & =8+\square \\ & =\square \end{aligned}

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Problem 9847

1. Use a tape diagram to represent the following calculations. Give the final result. (a) 35\frac{3}{5} of 30=30= (b) 79\frac{7}{9} of 72=72=

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Problem 9848

(1 point) Evaluate the following limit: limx0sin2(4x)1cos(9x)\lim _{x \rightarrow 0} \frac{\sin ^{2}(4 x)}{1-\cos (9 x)}

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Problem 9849

Each of the regions A,BA, B, and CC bounded by the graph of ff and the xx-axis has area 3 .
Find the value of 42[f(x)+2x+3]dx\int_{-4}^{2}[f(x)+2 x+3] d x. \square 9

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Problem 9850

Add. (8z+5)+(7z+9)(8 z+5)+(7 z+9)
Submit

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Problem 9851

Subtract. (8h+9)(h+4)(8 h+9)-(h+4)
Submit

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Problem 9852

Simplify the expression using the order of operations. 82÷4+22=÷4+22=+22\begin{aligned} 8^{2} \div 4+22 & =\square \div 4+22 \\ & =\quad+22 \end{aligned}

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Problem 9853

Factor completely. Remember to look first for a common factor. Check by multiplying. If a polyno a64a5+96a4-a^{6}-4 a^{5}+96 a^{4}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. a64a5+96a4=-a^{6}-4 a^{5}+96 a^{4}= \square B. The polynomial is prime.

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Problem 9854

Each license plate in a certain state has six characters (with repeats allo Here are the possibilities for each character. \begin{tabular}{|c|l|} \hline Character & \multicolumn{1}{|c|}{ Possibilities } \\ \hline First & The digits 1, 2, 3, 4, or 5 \\ \hline Second & The 26 letters of the alphabet \\ \hline Third & The 26 letters of the alphabet \\ \hline Fourth & The 10 digits 0 through 9 \\ \hline Fifth & The 10 digits 0 through 9 \\ \hline Sixth & The 10 digits 0 through 9 \\ \hline \end{tabular}
How many license plates are possible in this state?

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Problem 9855

Find the critical value zα/2\mathrm{z}_{\alpha / 2} that corresponds to the confidence level 81%81 \%. zα/2=z_{\alpha / 2}= \square (Round to two decimal places as needed.)

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Problem 9856

5. 58×23\frac{5}{8} \times 23
6. 23×76\frac{2}{3} \times 76
8. 67\frac{6}{7} of 51
9. 35×29\frac{3}{5} \times \frac{2}{9}
11. 1019×78\frac{10}{19} \times \frac{7}{8}
12. 34×37\frac{3}{4} \times \frac{3}{7}
14. 12910×61412 \frac{9}{10} \times 6 \frac{1}{4}
15. 438×17274 \frac{3}{8} \times 17 \frac{2}{7}

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Problem 9857

Question Round 2.606 to the nearest tenth.
Answer Attempt 1 out of 5

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Problem 9858

NAME \qquad DATE \qquad PERIOD \qquad Lesson 1 Homework Practice Estimate Products of Fractions Estimate each product.
1. 13×28\frac{1}{3} \times 28 '
2. 17×20727\frac{1}{7} \times 20 \frac{72}{7}
4. 111\frac{1}{11} of 47 (4)
5. 58×23\frac{5}{8} \times 23

N
9. 35×29\frac{3}{5} \times \frac{2}{9}
7. 25\frac{2}{5} of 37
8. 67\frac{6}{7} of 51 el,
10. 78×45\frac{7}{8} \times \frac{4}{5}
11. 1019×78\frac{10}{19} \times \frac{7}{8}
12. 34×37\frac{3}{4} \times \frac{3}{7}

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Problem 9859

Write 0.67 as a percentage.

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Problem 9860

5(9w3)811(8v+10)\begin{array}{|c|c|c|} \hline -5(9w-3) & 8 & 11(8v+10) \\ \hline \end{array}

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Problem 9861

13. 267×3142 \frac{6}{7} \times 3 \frac{1}{4}
14. 12910×61412 \frac{9}{10} \times 6 \frac{1}{4}
15. 438×17274 \frac{3}{8} \times 17 \frac{2}{7}

Estimate the area of each rectangle. 16. 17.
18. SCULPTURE Trevor is using the recipe for sculpture-carving material shown at the right. a. About how many cups of cement would he need to make 49\frac{4}{9} batch of the recipe? b. About how many cups of sand would he need to make \begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ Girostone Recipe } \\ \hline 5 cup vermiculite \\ 1141 \frac{1}{4} cup cement \\ 58\frac{5}{8} cup sand \\ water to form thick paste \\ \hline \end{tabular} 1671 \frac{6}{7} batches of the recipe? Course 1 - Chapter 4 Multiply and Divide Fractions 53

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Problem 9862

A night triangle has side lengths 5,12 , and 13 as shown below. Use these lengths to find cosB,tanB\cos B, \tan B, and sinB\sin B. cosB=tanB=sinB=\begin{array}{l} \cos B= \\ \tan B= \\ \sin B= \end{array} \square \square \square

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Problem 9863

4. How many amoll cubes, with a side length of i3 cm\frac{i}{3} \mathrm{~cm}, will fill the lorger recionguler prism betow?

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Problem 9864

a) (x3+3x23x2)÷(x1)\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)

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Problem 9865

II in the blank with the appropriate word or phrase.
If p^\hat{p} is the sample proportion and nn is the sample size, then p^(1p^)n\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} is the (Choose one) sample standard deviation population standard deviation standard error sample proportion

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Problem 9866

6000+30200+10+1\begin{array}{r}6000+30 \\ 200+10+1\end{array}

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Problem 9867

Factor the trinomial completely. x210x+9x^{2}-10 x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. x210x+9=x^{2}-10 x+9=\square (Type your answer in factored form:) B. The polynomial is prime.

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Problem 9868

Jelissa and Yari are both computing the product of 0.05 and 0.3. Their work is below: \begin{tabular}{|c|c|} \hline Jelissa's Work & Yari's Work \\ \hline5100×310=151000\frac{5}{100} \times \frac{3}{10}=\frac{15}{1000} & 0.05×100=50.05 \times 100=5 \\ & 0.3×10=30.3 \times 10=3 \\ & 5×3=155 \times 3=15 \\ & 15÷1,000=0.01515 \div 1,000=0.015 \\ \hline \end{tabular} a. Explain the similarities shown in Jelissa and Yari's work. b. Explain the differences shown in Jelissa and Yari's work.

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Problem 9869

Write the expression log5(x8y133)\log _{5}\left(x^{8} \sqrt[3]{y^{13}}\right) as a sum of logarithms with no exponents or radicals. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Basic & Funcs & Tri & & & & & ×\times \\ \hline xx & B & xx & x\boldsymbol{x}_{\square} & \sqrt{ } & n\sqrt[n]{ } & \uparrow & \downarrow \\ \hline yy & ( \square & |ㅁ| & π\pi & \infty & DNE & \leftarrow & \longrightarrow \\ \hline \multicolumn{6}{|l|}{Enter an algebraic expression [more.]} & \multicolumn{2}{|c|}{Q} \\ \hline \end{tabular}

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Problem 9870

The median home price in Arlington, Virginia, is $579,600\$ 579,600. If the assessment rate is 100%100 \%, what is the assessed value? \square

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Problem 9871

\begin{tabular}{|l|l|l|} \hlinea4a9\frac{a^{4}}{a^{9}} & p4q6p2q8\frac{p^{4} q^{6}}{p^{2} q^{8}} & 2x2y34xy5\frac{2 x^{2} y^{3}}{4 x y^{5}} \\ \hline \end{tabular}

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Problem 9872

(8)2=(6)2=\begin{array}{l}(* 8)^{2}= \\ -(6)^{2}=\end{array}

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Problem 9873

What is the unit price of a quart of juice for $0.79?\$ 0.79 ? A. $3.16/\$ 3.16 / gallon B. 3 half-gallons for $5.40\$ 5.40 C. $3.16/lb\$ 3.16 / \mathrm{lb} D. 7 pints for $4.20\$ 4.20

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Problem 9874

Select the correct answer.
In ABC,A\triangle A B C, \angle A is a right angle. What is the value of yy ? A. 7sinπ67 \sin \frac{\pi}{6} B. 7cosπ67 \cos \frac{\pi}{6} C. 7tanπ67 \tan \frac{\pi}{6} D. 7

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Problem 9875

a. 14\frac{1}{4} of 12 is \qquad b. 24\frac{2}{4} of 12 is \qquad c. 34\frac{3}{4} of 12 is \qquad

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Problem 9876

Select the correct answer.
In a right triangle, if θ=39\angle \theta=39^{\circ} and the side adjacent to θ\angle \theta is equal to 12.0 centimeters, what is the approximate length of the opposite side? A. 7.6 centimeters B. 9.3 centimeters C. 9.7 centimeters D. 14.8 centimeters

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Problem 9877

Example Hummingbirds sip212flOz\operatorname{sip} 2 \frac{1}{2} \mathrm{fl} \mathrm{Oz} of the liquid food in a feeder. Then 112floz1 \frac{1}{2} \mathrm{fl} \mathrm{oz} of food is added to the feeder. Last, hummingbirds sip another 314floz3 \frac{1}{4} \mathrm{fl} \mathrm{oz} of food. What is the overall change in the amount of food in the feeder? You can write an expression to represent the situation. 212+112314-2 \frac{1}{2}+1 \frac{1}{2}-3 \frac{1}{4}
To simplify the expression, you can first reorder the terms. 212+112314=212314+112=534+112=414\begin{aligned} -2 \frac{1}{2}+1 \frac{1}{2}-3 \frac{1}{4} & =-2 \frac{1}{2}-3 \frac{1}{4}+1 \frac{1}{2} \\ & =-5 \frac{3}{4}+1 \frac{1}{2} \\ & =-4 \frac{1}{4} \end{aligned}
The overall change in the amount of food in the feeder is 414floz-4 \frac{1}{4} \mathrm{fl} \mathrm{oz}.
The feeder in the Example had 16 fl oz of food in it to start. How much food does it have now? Show your work.

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Problem 9878

(A-C) weekly assignments
18 - 11/25 ignment Overview 1 ply Binomials : 2/4 Penalty: none stion Watch Vide press as a trinomial. (3x7)(x4)(3 x-7)(x-4)
Answer \square Submit Ans

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Problem 9879

Now, find the sum. 48+34=48+(2+32)=(48+2)+32=?\begin{aligned} & 48+34 \\ = & 48+(2+32) \\ = & (48+2)+32 \\ = & ? \end{aligned}

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Problem 9880

d. The pp-value == 0.0735 \qquad (Please show your answer to 4 decimal places.) e. The pp-value is \square α\alpha f. Based on this, we should fail to reject
0 the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 53%53 \% at α=0.05\alpha=0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is smaller than 53%53 \% The data suggest the population proportion is not significantly smaller than 53%53 \% at α=0.05\alpha=0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is smaller than 53%53 \%. The data suggest the population proportion is not significantly smaller than 53%53 \% at α=0.05\alpha=0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 53%53 \%. h. Interpret the p-value in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 53%53 \% and if another 257 students who played intramural sports are surveyed then there would be a 10.1%10.1 \% chance fewer than 49%49 \% of the 257 students surveyed received a degree within six years. There is a 53\% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is 49%49 \% and if another 257 such students are surveyed then there would be a 10.1%10.1 \% chance of concluding that fewer than 53%53 \% of all students who played intramural sports received a degree within six years. There is a 10.1%10.1 \% chance that fewer than 53%53 \% of all students who played intramural sports graduate within six years. i. Interpret the level of significance in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 53%53 \% and if another 257 students who played intramural sports are surveyed then there would be a 5%5 \% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is smaller than 53\% There is a 5%5 \% chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than 53%53 \%. If the population proportion of students who played intramural sports who received a degree within six years is smaller than 53%53 \% and if another 257 students who played intramural sports are surveyed then there would be a 5%5 \% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 53%53 \%. There is a 5%5 \% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.

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Problem 9881

The township of Pee Pee, Ohio has a population of 7,500 people. Recently an outbreak of Cholera was documented for the first three months of 2021. In January, 1500 of the population contracted Cholera, in February 500 more residents contracted Cholera, and in March 100 residents contracted Cholera. No deaths were reported from the outbreak!
1. What is the initial prevalence?
2. What is the overall prevalence?
3. What was Jan's incidence?
4. What was Feb.'s incidence?
5. What was March's incidence?

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Problem 9882

g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger 60%60 \% at α=0.05\alpha=0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 60%60 \%. The data suggest the population proportion is not significantly larger 60%60 \% at α=0.05\alpha=0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 60\%. - The data suggest the populaton proportion is significantly larger 60%60 \% at α=0.05\alpha=0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 60\% h. Interpret the p-value in the context of the study. There is a 0.33%0.33 \% chance that more than 60%60 \% of all voters prefer the Democratic candidate. - If the population proportion of voters who prefer the Democratic candidate is 60%60 \% and if another 222 voters are surveyed then there would be a 0.33%0.33 \% chance that more than 69%69 \% of the 222 voters surveyed prefer the Democratic candidate.
O If the sample proportion of voters who prefer the Democratic candidate is 69%69 \% and if another 222 voters are surveyed then there would be a 0.33%0.33 \% chance of concluding that more than 60%60 \% of all voters surveyed prefer the Democratic candidate. There is a 0.33%0.33 \% chance of a Type I error. i. Interpret the level of significance in the context of the study. If the population proportion of voters who prefer the Democratic candidate is 60%60 \% and if another 222 voters are surveyed then there would be a 5%5 \% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger 60\% There is a 5%5 \% chance that the proportion of voters who prefer the Democratic candidate is larger 60\%. There is a 5%5 \% chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is larger 60\% and if another 222 voters are surveyed then there would be a 5%5 \% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 60%60 \%.

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Problem 9883

Use scientific notation to determine which of these numbers has the greatest value: 654,987,034;645,897,430654,987,034 ; 645,897,430; or 546,789,340546,789,340. Write your answer in scientific notation, expressed to the exact decimal place. (1 point)

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Problem 9884

Greenville County, South Carolina, has 396,183 adult residents, of which 80,987 are 65 years or older. A survey wants to contact n=689n=689 residents.
These are 2018 population counts, found online at datausa.io/profile/geo/greenville-county-sc. Find pp, the proportion of Greenville county adult residents who are 65 years or older. Give your answer to four decimal places. p=p=\square

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Problem 9885

Enter your answers in the boxes. m==m=\frac{\square-\square}{\square-\square}=\frac{\square}{\square}

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Problem 9886

```latex Given: (CE)(DF)(CE) \parallel (DF) and (AF)(BF)(AF) \parallel (BF)
Show that: (AC)(BD)(AC) \mid (BD) ```

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Problem 9887

B) In a relay race Joan ran 2/52 / 5 of a mi, Mark ran 2/32 / 3 of a mi, and Ida ran 1/2mi1 / 2 \mathrm{mi}. How long was the race?

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Problem 9888

A survey of 2279 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 421 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). p^=0.185\hat{p}=0.185 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample \square a simple random sample, the value of p^(1p^)\hat{p}(1-\hat{p}) is \square , which is \square \square less than or equal to 5%5 \% of the \square (Round to three decimal places as needed.) (c) Construct and interpret a 90\% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. There is a \square \% probability the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between \square and \square . B. We are \square \% confident the proportion of adults in the country aged 18 and older who have donated blood in the

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Problem 9889

Cesimplfy Q(PP)¬(Q(Q)T¬(¬6Q)T¬(¬T)T¬F\begin{array}{l} Q(P \Rightarrow P) \Rightarrow \neg(Q \Rightarrow(Q) \\ T \Rightarrow \neg(\neg 6 \Rightarrow Q) \\ T \Rightarrow \neg(\neg T) \\ T \Rightarrow \neg F \end{array} TIT \Rightarrow I always true (2) (7Pφ)(¬PQ)(7 P \wedge \varphi) \vee(\neg P \wedge Q)
Q/Find the converse and contrapositive "If Muna is studing for the mid-term exam then it is not hoilday time

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Problem 9890

Самостоятельная работа по теме: «Свойства степеней» ВАРИАНТ 2 o 1. Представьте в виде степени произведение: 1) x9x2x^{9} x^{2}; 2) 711737^{11} \cdot 7^{3} 3) (a+b)(a+b)7(a+b)(a+b)^{7} 4) aa7a a^{7}; 5) m4m5m11m^{4} m^{5} m^{11}

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Problem 9891

I=x+1(x2+9)2dxI=\int \frac{x+1}{\left(x^{2}+9\right)^{2}} d x

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Problem 9892

6. Жимсний шүүс хийхэд алим ба нимбэг 3:53: 5 харьцаатай оржээ. Алим нь нимбэгний хэдэн процент болох вэ?

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Problem 9893

3) I=x2coshxdxI=\int x^{2} \cosh x d x (5 points)

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Problem 9894

Какая операция будет выполняться первой в выражении KK&CK \vee K \& C ?

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Problem 9895

Вариант 2 1) Выполните умножение одночленов a) 34xy216y\frac{3}{4} x y^{2} \cdot 16 y б) 1,6a2c(2ac2)1,6 a^{2} c \cdot\left(-2 a c^{2}\right) в) x3y41,4x6y5-x^{3} y^{4} \cdot 1,4 x^{6} y^{5} 2) Возведите одночлен в указанную степень a) (10x2y6)3\left(-10 x^{2} y^{6}\right)^{3} б) (13xy)4\left(-\frac{1}{3} x y\right)^{4} в) (3a2b)3-\left(3 a^{2} b\right)^{3} 3) Выполните действия a) 35a(2a)235 a \cdot(2 a)^{2} в) (18x2y3)(2x6y)4\left(-\frac{1}{8} x^{2} y^{3}\right) \cdot\left(2 x^{6} y\right)^{4}

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Problem 9896

Вариант 1 1) Выполните умножение одночленов a) 23a12ab2\frac{2}{3} a \cdot 12 a b^{2} б) 0,5x2y(xy)0,5 x^{2} y \cdot(-x y) в) 0,4x4y22,5x2y4-0,4 x^{4} y^{2} \cdot 2,5 x^{2} y^{4} 2) Возведите одночлен в указанную степен а) (12ab)3\left(-\frac{1}{2} a b\right)^{3} б) (2kx2)2-\left(2 k x^{2}\right)^{2} B) (10s3b2)4\left(-10 s^{3} b^{2}\right)^{4} 3) Выполните действия a) 20a3(5a)220 a^{3} \cdot(5 a)^{2} б) 0,4x5-0,4 x^{5} (2x3)4\left(2 x^{3}\right)^{4} в) (3x6y3)4(181xy2)\left(3 x^{6} y^{3}\right)^{4} \cdot\left(-\frac{1}{81} x y^{2}\right)

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Problem 9897

b. limx0(sinxx)1x3\lim _{x \rightarrow 0}\left(\frac{\sin x}{x}\right)^{\frac{1}{x^{3}}}

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Problem 9898

Aufgabe 1: Handelt es sich um eine Bernoulli-Kette? Geben Sie gegebenenfalls ihre Länge nn und die Trefferwahrscheinlichkeit pp an. a) Eine ideale Münze wird zehnmal geworfen und es wird jedes Mal notiert, ob „Zahl" erscheint. b) Eine "Münze" aus Knetmasse wird zehnmal geworfen und es wird jedes Mal notiert, ob „Zahl" erscheint. c) Ein idealer Würfel wird siebenmal geworfen und es wird jedes Mal die Augenzahl notiert. d) Ein idealer Würfel wird siebenmal geworfen und es wird jedes Mal notiert, ob eine Drei erscheint.
Aufgabe 2: Das abgebildete Glücksrad wird dreimal gedreht. a) Begründe, dass es sich dabei um eine Bernoullie-Kette handelt und gib die Länge nn sowie die Trefferwahrscheinlichkeit pp an. b) Gib alle Ergebnisse an, die zu den folgenden Ereignissen gehören (in der Form bgb usw.). Berechne außerdem die Wahrscheinlichkeit dieser Ereignisse. A: dreimal blau B: zuerst blau, dann zwei mal gelb C: genau ein mal blau
Aufgabe 3: Eine verbeulte Münze wird vier mal geworfen. a) Begründe, dass es sich dabei um eine Bernoullie-Kette handelt und gib die Länge nn sowie die Trefferwahrscheinlichkeit pp an. b) Berechne die Wahrscheinlichkeit der folgenden Ereignisse.
A: Es fällt einmal Zahl. B: Es fällt dreimal Zahl. C: Es fällt zweimal Zahl.

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Problem 9899

II. Write the place value of the circled digits. a. 6.56 b. 21 . (2) 01 c. 188.1 6) 3 e. 130 . (9) 25

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Problem 9900

Wrice the atcle vatue of the circled digits - E5 (2) 21.291 c 188.163 d. 61.112 =130.925=130.925

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