Expression

Problem 1101

16. A pen manufacturer gets its pen cartridges from 2 suppliers. 58%58 \% of the cartridges come from supplier A and 2.25%2.25 \% of them are defective. 42%42 \% of the cartridges come from supplier B and 1.75%1.75 \% of them are defective. Answer the following questions: (a) Draw a tree diagram representing the problem. (b) Find the probability that a cartridge is defective and from supplier A. (c) Find the probability that a randomly chosen cartridge is not defective.

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Problem 1102

Simplify. Assume that all variables represent positive numbers. z236x2z6x\frac{\sqrt{\frac{z^{2}}{36 x^{2}}}}{\frac{|z|}{6|x|}}
Suggested tutorial: Learn It: Simplify a radical expression.

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Problem 1103

Practice
1. Express the following powers in exponent form a. 37\sqrt[7]{3} b. 55\sqrt[5]{-5} d. 59\sqrt{\frac{5}{9}} c. 224\frac{2}{\sqrt[4]{2}} e. y23\sqrt[3]{y^{2}}

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Problem 1104

Ready Divide Fractions:
Zachary found 34÷56\frac{3}{4} \div \frac{5}{6}. His work is shown
How can Zachary fix his error in Step 1? He should multiply 34\frac{3}{4} by 65\frac{6}{5}
What is the quotient? 34÷56=\frac{3}{4} \div \frac{5}{6}= \square Desk 1

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Problem 1105

Simplify. The variable represents a positive number. 2648a532375a532648a532375a53\frac{2 \sqrt[3]{648 a^{5}}-2 \sqrt[3]{-375 a^{5}}}{2 \sqrt[3]{648 a^{5}}-2 \sqrt[3]{-375 a^{5}}}

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Problem 1106

Find the surface area for each part of Rocco's face. Be sure to label your answers.
Formulas
Rocco's eyes: \qquad occo's ears: \qquad occo's mouth: \qquad
2. Rocco's eyebrows: \qquad A (base 1+2ae2)\left.1+2 a e_{2}\right) C

Bonus - Only the grey area of Rocco's face:
6. Rocco's entire face: \qquad
4. Rocco's nose: \qquad (D)

05 mm 3 cm 令 A=2×wA=2 \times w \qquad 13 cm
4 - \qquad \qquad \qquad

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Problem 1107

Consider the expressions 5+8k5+8 k and 8k+58 k+5. Determine why the expressions are equivalent. Using k=3k=3 5+8k8k+55+8(3)8(3)+55+24=2924+5=29\begin{array}{lc} 5+8 k & 8 k+5 \\ 5+8(3) & 8(3)+5 \\ 5+24=29 & 24+5=29 \end{array}
Using k=5k=5 5+8k8k+55+8(5)8(5)+55+40=4540+5=45\begin{array}{lc} 5+8 k & 8 k+5 \\ 5+8(5) & 8(5)+5 \\ 5+40=45 & 40+5=45 \end{array}
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are \square The value of both expressions when k=3k=3 is \square and when k=5k=5 is 45 , so the expressions are \square Intro Done

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Problem 1108

Perform the indicated operation. 65i6+i\frac{6-5 i}{6+i}

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Problem 1109

(1) You can use the expression 59(F32)\frac{5}{9}(F-32) to find a temperature in degrees Celsius when you know the temperature Fin degrees Fahrenhelt. The temperature of a room is 7777^{\circ} Fahrenheit. What is the temperature of the room in degrees Celslus? Show your work.

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Problem 1110

Divide. Give the exact answer, written as a decimal. \square 9 \longdiv { 5 3 . 5 5 } Submit

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Problem 1111

Using the Commutative Property
Use the commutative property to create equivalent expressions. Which expressions are equivalent to 2.2t+3.5+2.2 t+3.5+ 9.8? Check all that apply. 3.5+2.2t+9.83.5+2.2 t+9.8 3+2t+93+2 t+9 2.2+3.5+9.8t2.2+3.5+9.8 t 9.8+3.5+2.2t9.8+3.5+2.2 t 2.2t+9.8+3.52.2 t+9.8+3.5 2.2t+35.982.2 t+35.98 Intro Done

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Problem 1112

(2) Carmen has a bag of pp peaches. She adds 10 peaches to the bag. Then she gives all the peaches away She gives an equal number to each of 5 friends Write an expression that represents the number of peaches each friend recelves. Show your work. PHo 5 (i) 1(0)÷1(0) \div ÷5\div 5

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Problem 1113

Date: Pager b. 57\frac{5}{7} parts of a pole are in the mud, 374\frac{3}{74} parts in the water and remaining parts above the surface of water. i) Find the total parts of the pole inside the mud and water. ii) Find the parts of the pole above the surfare of water.

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Problem 1114

5. Ian factored 12x3y324x2y312 x^{3} y^{3}-24 x^{2} y^{3} into 6xy(2x2y24xy2)6 x y\left(2 x^{2} y^{2}-4 x y^{2}\right). (1) a. Verify that Ian's factorization is correct, using multiplication.

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Problem 1115

Ally factors in your answer should have integer coefficients. 125w4216wx3=125 w^{4}-216 w x^{3}= \square Submit

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Problem 1116

(197)÷411(19-7) \div 4 \cdot 11

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Problem 1117

14. Which is the first step Fred could use in solving 318121318-121 if he was using place value to break the problem into smaller problems? A Subtract 10 from 218 B - Subtract 20 from 218 C Subtract 100 from 100 D Subtract 100 from 318

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Problem 1118

11287+211^{2}-8 \cdot 7+2

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Problem 1119

2. The horizontal segment joining A(1,5)A(1,-5) and B(6,5)B(6,-5) has been graphed on the number plane. Find the length of the segment. \square length == \square Enter your next step here units

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Problem 1120

Is the expression 2f+4f+232 f+4 f+2-3 equivalent to 6f1?6 f-1 ? 6f16 f-1 evaluated at f=9f=9 is 53. 2f+4f+232 f+4 f+2-3 evaluated at f=9f=9 is also 53 . 6f16 f-1 evaluated at f=3f=3 is 17 What is 2f+4f+232 f+4 f+2-3 evaluated at f=3f=3 ?

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Problem 1121

Numeric 1 point Determine the amount of grams in 0.5 moles of Na2PO4\mathrm{Na}_{2} \mathrm{PO}_{4}.
Type your answer...

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Problem 1122

12x3y324x2y312 x^{3} y^{3}-24 x^{2} y^{3} Lesson 5.5 Polynomials Final Revie b. Ian's factorization is not considered 'complete'. Explain why. \qquad \qquad \qquad \qquad c. Show the complete factorization of 12x3y324x2y312 x^{3} y^{3}-24 x^{2} y^{3}.

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Problem 1123

Round 61.964 to the nearest tenth. \square

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Problem 1124

If ABCA B C is an acute angled triangle, then cosA+cos(B+C)=\cos A+\cos (B+C)= (a) -1 (b) zero (d) 12\frac{1}{2}

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Problem 1125

Calculate the average grade for the user based on the given 6-week periods. The grades are as follows:\text{Calculate the average grade for the user based on the given 6-week periods. The grades are as follows:} \begin{align*} \text{1st 6 Weeks:} & \quad 94\% \, (A), \, 93\% \, (A), \, 90\% \, (A), \, 78\% \, (C), \, 71\% \, (C), \, 65\% \, (D) \\ \text{2nd 6 Weeks:} & \quad 60\% \, (D), \, 70\% \, (C), \, 61\% \, (D) \\ \text{3rd 6 Weeks:} & \quad 100\% \, (A), \, 72\% \, (C) \\ \end{align*} Note: N/A entries are not included in the calculation.\text{Note: N/A entries are not included in the calculation.}

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Problem 1126

hine if the expressions are equivalent. when w=11w=11 : \begin{tabular}{cc} 2w+3+42 w+3+4 & 4+2w+34+2 w+3 \\ 2(11)+3+42(11)+3+4 & 4+2(11)+34+2(11)+3 \\ 22+3+422+3+4 & 4+22+34+22+3 \\ 25+425+4 & 26+326+3 \\ 29 & 29 \end{tabular}
Complete the statements. Now, check another value for the variable. When w=2w=2; the first expression is \square When w=2w=2, the second expression is \square Therefore, the expressions are \square

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Problem 1127

4 Fill in the Blank 1 point
Use the coordinate grid to find the exact distance between (1,3)(-1,3) and (6,6)(6,-6). Write the answer as a radical.
The exact distance between the points is the square root of \square type your answer...

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Problem 1128

Which expressions are equivalent to 12+3c+45?\frac{1}{2}+3 c+\frac{4}{5} ? Select three options. 3c+45+123 c+\frac{4}{5}+\frac{1}{2} 1+2+3c+4+51+2+3 c+4+5 45+12+3c\frac{4}{5}+\frac{1}{2}+3 c 2+3c+42+3 c+4 12+45+3c\frac{1}{2}+\frac{4}{5}+3 c

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Problem 1129

Using the Associative Property
Use the associative property to create equivalent expressions to a+b+(c+d)a+b+(c+d). Which statements are true? Select four options. The associative property allows us to change the grouping of terms that are added together. When changing the grouping, the order of the terms stays the same; only the parentheses change position. The expression a+(b+c)+da+(b+c)+d is an equivalent expression. The expression ab(cd)a b(c d) is an equivalent expression. The expression (a+b)+c+d(a+b)+c+d is an equivalent expression. The expression a+b(c+d)a+b(c+d) is an equivalent expression.

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Problem 1130

Use the commutative property to write an equivalent expression to 4g+134 g+13, and show that they are equivalent for g=g= 10 and g=2g=2. Complete the statements.
If you change the order of the terms you can create the equivalent expression \square After substituting 10 for gg, the expressions are \square and \square After substituting 2 for gg, the expressions are 4(2)+134(2)+13 and 13+4(2)13+4(2). The expressions are equivalent because they both have a value of =2=2\square when g=10g=10 and a value of \square when gg

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Problem 1131

Add. Write your answer as a mixed number in simplest form. 6411+46116 \frac{4}{11}+4 \frac{6}{11}

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Problem 1132

Determining Equivalent Expressions
Use v=3v=3 and v=6v=6 to determine if the expressions 3v+2(v+1)43 v+2(v+1)-4 and 16+3vv16+3 v-v are equivalent. Which statements are true? Select two options.
The value of both expressions when v=3v=3 is 13 . The value of both expressions when v=3v=3 is 22 .
The value of both expressions when v=6v=6 is 28 .
The value of both expressions when v=6v=6 is 46 . The expressions are equivalent. The expressions are not equivalent.

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Problem 1133

Analyzing Work for Errors
Jason used the commutative property to write an expression that is equivalent to 34+5.6b+9\frac{3}{4}+5.6 b+9. 34+5.6b+9\frac{3}{4}+5.6 b+9 is equivalent to 9.0+56b+3.49.0+56 b+3.4.
Is Jason's work correct? No, Jason changed the terms. Yes, Jason's work is correct. No, Jason forgot the parentheses. No, Jason should not have changed the order of the terms.

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Problem 1134

1. Julie and Rafael are both reading the same book. - Julie can read 3 pages in 2 minutes. - Rafael can read 5 pages in 4 minutes.
Based on these rates, which statement is NOT true? A. Rafael can read 0.5 pages more than Julie in 2 minutes. B. Julie can read 2 more pages than Rafael in 8 minutes. C. Rafael can read 2.5 pages in 2 minutes. D. Julie can read 6 pages in 4 minutes.

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Problem 1135

Factor the four-term polynomial by grouping. 7q2+5pq7q5p7q2+5pq7q5p=\begin{array}{r} 7 q^{2}+5 p q-7 q-5 p \\ 7 q^{2}+5 p q-7 q-5 p=\square \end{array} \square (FactoF completely.)

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Problem 1136

(1) Perimeter, Arca, and volume Using a net to find the lateral surface area and total surface area of a..
A triangular prism and its net are shown below. The top and bottom of the prism are shaded. (All lengths are in centimeters.) (a) Find the following side lengths for the net. A=cmB=cmC=cmD=cm\begin{array}{l} A=\square \mathrm{cm} \\ B=\square \mathrm{cm} \\ C=\square \mathrm{cm} \\ D=\square \mathrm{cm} \end{array} (b) Use the net to find the lateral surface area of the prism. Nelther the top nor bottom is included. \square cm2\mathrm{cm}^{2} (c) Use the net to find the total surface area of the prism. \square 22 cm

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Problem 1137

Money A savings account increases from $150\$ 150 to $156\$ 156. What is the percent increase of the savings account?
The percent increase of the savings account is \square \%

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Problem 1138

4(3m+2n)5m+y -4(3m + 2n) - 5m + y

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Problem 1139

Problem 1. (1 point) Which of the following is the correct form of the partial frachon decomposition of 2x(x+3)(3x+1)?\frac{2 x}{(x+3)(3 x+1)} ? A. Ax+Bx+3+Cx+D3x+1\frac{A x+B}{x+3}+\frac{C x+D}{3 x+1} B. Ax+3+B3x+1\frac{A}{x+3}+\frac{B}{3 x+1} c. Ax+Bx+3+C3x+1\frac{A x+B}{x+3}+\frac{C}{3 x+1} D. Ax+3+Bx+C3x+1\frac{A}{x+3}+\frac{B x+C}{3 x+1}

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Problem 1140

\begin{tabular}{|l|l|l|l} \hline 912539 \sqrt[3]{125} & -2 \\ \hline 45 & 959 \sqrt{5} & 455345 \sqrt[3]{5} & 4525345 \sqrt[3]{25} \\ \hline \end{tabular}

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Problem 1141

MULTIPLE CHOICE QUESTION
Which of the following is a condensed electron configuration of Phosphorus (P)? periodic table [Ne]3 s23p3[\mathrm{Ne}] 3 \mathrm{~s}^{2} 3 \mathrm{p}^{3} [Ne]3 s23p2[\mathrm{Ne}] 3 \mathrm{~s}^{2} 3 \mathrm{p}^{2} [He] 2s22p62 s^{2} 2 p^{6} ulitue [Ne]3s23p1[N e] 3 s^{2} 3 p^{1}

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Problem 1142

9z6÷272z12\frac{9}{z-6} \div \frac{27}{2 z-12}

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Problem 1143

Factor the following polynomial. 12x2y20x218y+3012x2y20x218y+30=\begin{array}{c} 12 x^{2} y-20 x^{2}-18 y+30 \\ 12 x^{2} y-20 x^{2}-18 y+30= \end{array} \square (Factor completely.)

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Problem 1144

Write a division sentence for each.
2. 18612/126/66\begin{array}{r}18 \\ -\frac{6}{12}\end{array} / \begin{array}{c}12 \\ -6\end{array} / \begin{array}{c}6 \\ -6\end{array}
3. 1022826/62\begin{array}{r}10 \\ -2 \\ -2\end{array}{ }^{8}-\frac{2}{6} /{ }^{6}-2
4. 164121248/84)440\left.\begin{array}{c}16 \\ -\frac{4}{12}\end{array} \wedge^{12}-\frac{4}{8} / \begin{array}{c}8 \\ -4\end{array}\right)^{4}-\frac{-4}{0}

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Problem 1145

15. Yasmin earned $283\$ 283 one summer from her babysitting job and $45\$ 45 from walking dogs. She spent $139\$ 139 of this money on a wedding present for her aunt. Which of the following is NOT a way to find how much money Yasmin had left? A Add $45\$ 45 and $283\$ 283, then subtract $139\$ 139 B Subtract $139\$ 139 from $283\$ 283, then add $45\$ 45 Add \$283 and \$45, then subtract \$139 D Not here

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Problem 1146

Use the Laws of Logarithms to combine the expression. ln(a+b)+ln(ab)2ln(c)\ln (a+b)+\ln (a-b)-2 \ln (c)

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Problem 1147

The double number line shows that Henrik has a mass of 60 kg .
Complete the table to show different percentages of Henrik's mass.
Mass (kg) Percentage 100%100 \% of 60 kg
20%20 \% of 60 kg
40%40 \% of 60 kg

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Problem 1148

(+3)(+3)+(4)(+3)-(+3)+(-4)

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Problem 1149

4. 0.2035÷0.370.2035 \div 0.37

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Problem 1150

Use the Laws of Logarithms to combine the expression. 2(log5(x)+2log5(y)3log5(z))2\left(\log _{5}(x)+2 \log _{5}(y)-3 \log _{5}(z)\right)

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Problem 1151

A small farm has five goats, six horses, seven cows, and eight pigs. The farmers would like to line up two animals of each species for a photograph. How many different pictures are possible if each species of animal stands together (that is, the two goats stand side-by-side, and the two horses stand side-by-side, etc.)?
The number of possible pictures is \square

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Problem 1152

What of the Area of this prism?

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Problem 1153

Question Watch Video Show Examples
Given the two rectangles below. Find the area of the shaded region. Answer Attempt 1 out of 2 Search

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Problem 1154

Find the area KK of the triangle specified below. a=3,b=10,c=12a=3, b=10, c=12
The area KK is \square square units. (Do not round until the final answer. Then round to two decimal places as needed.)

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Problem 1155

1. 5200000 тоог стандарт хэлбэрт бич. A. 5200000 B. 0.521070.52 \cdot 10^{7} C. 520104520 \cdot 10^{4} D. 5210552 \cdot 10^{5}

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Problem 1156

Lisa drew a scale drawing of an apartment. The dining room, which is 3 meters wide in real life, is 5 millimeters wide in the drawing. What is the drawing's scale factor?
Simplify your answer and write it as a fraction. \square
Submit

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Problem 1157

Problems 17 - 22, Find the exact value of the logarithm without using a calculator. If this is not possible, state the reason.
17. log5125log55\log _{5} 125-\log _{5} 5
18. 6lne5+4lne26 \ln e^{5}+4 \ln e^{-2}
19. ln1e\ln \frac{1}{\sqrt{e}}
20. log3(27)\log _{3}(-27)
21. log2321\log _{2} \sqrt[1]{32}
22. log3(181)\log _{3}\left(\frac{1}{81}\right)

Problems 23 - 24, Solve.
23. Mrs. Adams gave her students a quiz on logarithms. Every week for three months they took another quiz to see how much they remembered. The average scores of the students can be modeled by the human memory model S(t)=8712log(t+1)S(t)=87-12 \log (t+1) for 0t120 \leq t \leq 12 where tt is the time in weeks. A. Find the average score on the original quiz. s(0)=8712log(0+1)87s(0)=87-12 \log (0+1)^{87} B. What was the average score after 1 month ( 4 weeks)? S(4)=8712log(4+1)=878.39=78.61S(4)=87-12 \log (4+1)=87-8.39=78.61 C. Find the average score at the end of the 12 weeks. S(12)=812log(12+1)=8713.37=73.63S(12)=8-12 \log (12+1)=87-13.37=73.63
24. The Richter scale model for measuring magnitude RR of an earthquake is modeled by the equation R=log(ar)+BR=\log \left(\frac{a}{r}\right)+B, where aa is the amplitude in micrometers, TT is the period in seconds, and BB represents the dampening effect (weakening) of the wave due to the distance from the epicenter of the quake. A. Find the magnitude RR of a quake where a=325,T=4a=325, T=4 and B=3.25B=3.25 B. Find the magnitude RR of a quake where a=230,T=2a=230, T=2 and B=4.5B=4.5

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Problem 1158

Problems 161-6, Assuming xx and yy are positive, use properties of logarithms to write the expression as a sum or difference of logarithms.
1. log16x\log 16 x
2. ln(3y)ln3lny\ln \left(\frac{3}{y}\right) \ln 3-\ln y
3. ln(e3y5)\ln \left(e^{3} y^{5}\right)
4. log(1000x5)\log \left(1000 x^{5}\right)
5. lnx3y\ln \sqrt{\frac{x^{3}}{y}}
6. log2(x3y2)\log _{2}\left(x^{3} y^{2}\right)

Problems 7 - 12, Assuming x,yx, y, and zz are positive, use properties of logarithms to write the expression as a single logarithm.
7. log264log24\log _{2} 64-\log _{2} 4
8. ln(x+3)+2lnx\ln (x+3)+2 \ln x
9. 4lnx+7lny3lnz4 \ln x+7 \ln y-3 \ln z
10. 13(logx2logy)\frac{1}{3}(\log x-2 \log y)
11. 13[2log(x+1)logxlog(x3)]\frac{1}{3}[2 \log (x+1)-\log x-\log (x-3)]
12. 3[lnx+ln(x2)]4ln(x24)3[\ln x+\ln (x-2)]-4 \ln \left(x^{2}-4\right)

Problems 13 - 16, Use a calculator to evaluate to three decimal places.
13. log418\log _{4} 18
14. log1223\log _{\frac{1}{2}} 23
15. logπ57\log _{\pi} 57
16. log0.816\log _{0.8} 16

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Problem 1159

(0. 0) t produce recumgle aterto. What is Ene permerer in unitu ct recungle A BCD7

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Problem 1160

3x+5y27y6x4\frac{\frac{3}{x}+\frac{5}{y^{2}}}{\frac{7}{y}-\frac{6}{x^{4}}}

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Problem 1161

7 Asegninet 41 16 instructure com/courses/38499/assignments/1025898 Epic| The Leading. Syrngted Pubics. Dastboard Hon
07 , Assignments > 7 Assignment 4.1 7 Assignment 4.1
Due Thursday by 4pm Points 10 (7)
Math Usten cet (LT) Factor out the coefficient of the va 4x204 x-20
Factored expression: \square
Basic
7 8 9 4 5 6

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Problem 1162

2.6 L10.99c2.6 \mathrm{~L} \approx 10.99 \mathrm{c} (Round to two decimals places English and Metric Equivalents for Capacity \begin{tabular}{|ll|} \hline \multicolumn{2}{|c|}{ English and Metric Equivalents for Capacity } \\ \hline 1 teaspoon (tsp)(\mathrm{tsp}) & 5\approx 5 milliliters (mL)(\mathrm{mL}) \\ \hline 1 tablespoon (tbsp)(\mathrm{tbsp}) & 15\approx 15 milliliters (mL)(\mathrm{mL}) \\ \hline 1 fluid ounce (floz)(\mathrm{fl} \mathrm{oz}) & 30\approx 30 milliliters (mL)(\mathrm{mL}) \\ \hline 1 cup (c)(\mathrm{c}) & 0.24\approx 0.24 liter (L)(\mathrm{L}) \\ \hline 1 pint (pt)(\mathrm{pt}) & 0.47\approx 0.47 liter (L)(\mathrm{L}) \\ \hline 1 quart (qt)(\mathrm{qt}) & 0.95\approx 0.95 liter (L)(\mathrm{L}) \\ \hline 1 gallon (( gal) & 3.8\approx 3.8 liters (L)(\mathrm{L}) \\ \hline \end{tabular}

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Problem 1163

For questions 7107-10, find each pp
7. 45a3b2(10b4+a3)-\frac{4}{5} a^{3} b^{2}\left(10 b^{4}+a^{3}\right)

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Problem 1164

Simplify the expression: 28a2bc2\sqrt{\frac{28 a^{2} b}{c^{2}}}

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Problem 1165

Pablo is simplifying the expression below. 14(8x+12)(2x+5)-\frac{1}{4}(8 x+12)-(-2 x+5)
He used the steps below to simplify the expression. 14(8x+12)(2x+5)=2x3+2x5=8\begin{aligned} & -\frac{1}{4}(8 x+12)-(-2 x+5) \\ = & -2 x-3+2 x-5 \\ = & -8 \end{aligned}
Which statement is true about the steps that Pablo used to simplify the expression? He combined like terms inside the parentheses, distributed 14-\frac{1}{4} over (8x+12)(8 x+12), and then combir Mark this and return Save and Exit Next

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Problem 1166

Mock/Practice Thst 8 (eptional) Question 18 of 20 (1) poin) I Gueatlon Attempts 1 of 1 Time Remaining: 144 1 2 3 4 5 6 7 8 9 10 11 12
The formula P=2a+2bP=2 a+2 b represents the perimeter, PP, of a parallelogram given the base, bb, and an adjacent side, aa. Factor out the GCF and write an equivalent formula in factored form. PP \equiv \square Continue Submit Assig 2024 MeGraw HIIILC. All Righte Reserved. Torms of Use Privagy Center

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Problem 1167

Which statement is true about the steps that Pablo used to simplify the expression? He combined like terms inside the parentheses, distributed 14-\frac{1}{4} over (8x+12)(8 x+12), and then combined the remaining like terms. He combined like terms inside the parentheses, distributed 14-\frac{1}{4} over (2x+5)(-2 x+5), and then combined the remaining like terms. He distributed 14-\frac{1}{4} over (8x+12)(8 x+12), distributed 1 over (2x+5)(-2 x+5), and then combined like terms. He distributed 14-\frac{1}{4} over (8x+12)(8 x+12), distributed -1 over (2x+5)(-2 x+5), and then combined like terms.

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Problem 1168

Which answer choice results from using the distributive property to rewrite the expression below? 5(x+8)5(x+8) 5x+405 x+40 5x+85 x+8 5(8x) 5+8x5+8 x

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Problem 1169

Pre-Test Active 1 2 3 4 5
What is the simplified expression for the expression below? 1(2x+3)2(x1)-1(2 x+3)-2(x-1) 4x+1-4 x+1 4x2-4 x-2 4x+2-4 x+2 4x1-4 x-1

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Problem 1170

Quincy's Method: Substitute 6 into both expressions 16(6x+12)12(4x+2)=16(6(6)+12)12(4(6)+2)=16(48)12(26)=5\begin{aligned} & \frac{1}{6}(6 x+12)-\frac{1}{2}(4 x+2) \\ = & \frac{1}{6}(6(6)+12)-\frac{1}{2}(4(6)+2) \\ = & \frac{1}{6}(48)-\frac{1}{2}(26) \\ = & -5 \end{aligned}
Which explains who is correct? Only Darren is correct because he substituted x=2x=2 into the expressions Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions.
Both are correct because after substituting the same value into both expressions the result is the same Both are correct because they substituted different values into each expression Save and Exit

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Problem 1171

One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.

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Problem 1172

3(n23+2)3\left(n^{2}-3+2\right)

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Problem 1173

10) The price of the new Taylor Swift album was reduced from $20\$ 20 to $16\$ 16. By what percentage was the price of the album reduced?
Proportion: \qquad \qquad

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Problem 1174

Whose method is correct and why? Lisa's method is correct because 2(x2)2(x-2) equals 2x22 x-2. Lisa's method is correct because 2(x2)2(x-2) equals 2x2 x. Jaleel is correct because 2(x2)2(x-2) equals 2x22 x-2 Jaleel is correct because 2(x2)2(x-2) equals 2x42 x-4. Mark this and return Save and Exit Nest Submit

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Problem 1175

Evaluate the expression for the given value of xx. 23x+8 for x=3-\frac{2}{3} x+8 \text { for } x=-3
The solution is \square

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Problem 1176

[文] Find the distance between the points (4,9)(-4,-9) and (4,3)(-4,3). [xi] Round decimals to the nearest tenth. 84, \square units

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Problem 1177

新, Find the distance between the points (1,7)(1,7) and (10,2)(10,2). [8] Round decimals to the nearest tenth. \square units Submit

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Problem 1178

Which shows the list of numbers in order from least to greatest? 4.2,45,1,2,3.5|-4.2|,\left|-\frac{4}{5}\right|,|-1|,-2,|3.5| 2,45,1,3.5,4.2-2,\left|-\frac{4}{5}\right|,|-1|,|3.5|,|-4.2| 2,1,3.5,4.2,45-2,|-1|,|3.5|,|-4.2|,\left|-\frac{4}{5}\right| 2,45,1,4.2,3.5-2,\left|-\frac{4}{5}\right|,|-1|,|-4.2|,|3.5| 13.545,1,2,4.213.5|\cdot|-\frac{4}{5}|,|-1|,-2,|-4.2|

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Problem 1179

Find the distance between the points (10,10)(10,10) and (7,1)(-7,1). (5), Round decimals to the nearest tenth. ) 8 \square units Submit

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Problem 1180

13) John is 6 feet 2 inches tall. If there are approximately 2.54 centimeters in 1 inch, how tall is John in centimeters?
Proportion: \qquad \qquad

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Problem 1181

Divide. Enter your answer as a fraction in simplest form. 15+1115\frac{1}{5}+\frac{11}{15}
The solution is

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Problem 1182

Which number is equal to 123\left.\right|^{-12 \mid}|-|-3 ? 15-15 9-9 9 15

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Problem 1183

Correct
Use integration by substitution to solve the integral below. Use C for the constant of integration. 6(ln(y))3ydy\int \frac{-6(\ln (y))^{3}}{y} d y
Answer

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Problem 1184

Which expression is equivalent to 5+3|-5|+|3| ? 8-8 2-2 2 8

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Problem 1185

OPEN-ENDED QUESTION
What is 5/65 / 6 as a decimal?
Type your answer...

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Problem 1186

Evaluate the given integral by changing to polar coordinates. D2x2ydA\iint_{D} 2 x^{2} y d A, where DD is the top half of the disk with center the origin and radius 4.

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Problem 1187

2] Given that cosθ=38,f\cos \theta=\frac{3}{8}, f A] sin(90θ)\sin \left(90^{\circ}-\theta\right)

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Problem 1188

Add and simplify. (4+16)+(9+36)(4+16)+(9+36)=\begin{array}{l} (4+\sqrt{-16})+(9+\sqrt{-36}) \\ (4+\sqrt{-16})+(9+\sqrt{-36})= \end{array} \square (Simplify your answer. Type your answer in the form a +bi .)

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Problem 1189

Factor the following expression completely: 3w219w14=3 w^{2}-19 w-14= \square Question Help: Message instructor Submit Question
Question 10 Factor the following expression completely: 3x211x20=3 x^{2}-11 x-20= \square

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Problem 1190

What is the slope of the line that passes through the points (2,8)(2,8) and (12,20)(12,20) ? Write your answer in simplest form.

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Problem 1191

Amira mowed 6 lawns in 9 hours. What was her rate of mowing in lawns per hour?
Resize the right columns to represent the unit rate.

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Problem 1192

Score: 1/5 Penalty: 1 off
Question Watch Video Show Examples
The width of a rectangle measures (5r+8s)(5 r+8 s) centimeters, and its length measures (7r7s)(7 r-7 s) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer 2+24r2+24 r 14s+24r+8-14 s+24 r+8 Submit Answer 2s+24r2 s+24 r 1+12r1+12 r

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Problem 1193

Watch Video
Write an equivalent expression by distributing the "-" sign outside the parentheses: (4.2rs+3.9)-(-4.2 r-s+3.9)
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 1194

Practice Use the Distributive Property to simplify each expression. PRACTICES
9. 6(a+10)6(a+10)
13. 10(9t)10(9-t)
10. 8(4+x)8(4+x)
11. (5+w)5(5+w) 5

See Problem 1.
17. (38c)1.5(3-8 c) 1.5
14. 12(2j6)12(2 j-6)
15. 16(7b+6)16(7 b+6)
12. (2t+3)11(2 t+3) 11
19. 14(4f8)\frac{1}{4}(4 f-8)
21. (8z10)(1.5)(-8 z-10)(-1.5)
18. (5w15)2.1(5 w-15) 2.1
16. (1+3d)9(1+3 d) 9
20. 6(13h+1)6\left(\frac{1}{3} h+1\right)
22. 0(3.7x4.21)0(3.7 x-4.21)
23. 1(3117d17)1\left(\frac{3}{11}-\frac{7 d}{17}\right)
24. 12(12y12)\frac{1}{2}\left(\frac{1}{2} y-\frac{1}{2}\right)

Write each fraction as a sum or difference.
25. 2x+75\frac{2 x+7}{5}
26. 17+5n4\frac{17+5 n}{4}
29. 258t5\frac{25-8 t}{5}
30. 18x+5117\frac{18 x+51}{17}
27. 89x3\frac{8-9 x}{3}

See Problem 2.
31. 222n2\frac{22-2 n}{2}

Simplify each expression.
33. (20+d)-(20+d)
34. (54y)-(-5-4 y)
37. (18a17b)-(18 a-17 b)
38. (2.1c4d)-(2.1 c-4 d)
35. (97c)-(9-7 c)

See Problem 3.
36. (x+15)-(-x+15)
39. (m+n+1)-(-m+n+1)
40. (x+3y3)-(x+3 y-3)

Use mental math to find each product.
41. 5.1×85.1 \times 8
42. 3×7.253 \times 7.25
45. 3.9×63.9 \times 6
46. 5×2.75 \times 2.7
43. 299×3299 \times 3 (1.) See Problem 4.
44. 4×1974 \times 197
47. 6.15×46.15 \times 4
48. 6×9.16 \times 9.1
49. You buy 50 of your favorite songs from a Web site that charges $.99\$ .99 for each song. What is the cost of 50 songs? Use mental math.
50. The perimeter of a baseball diamond is about 360 ft . If you take 12 laps around the diamond, what is the total distance you run? Use mental math.
51. One hundred and five students see a play. Each ticket costs $45\$ 45. What is the total amount the students spend for tickets? Use mental math.
52. Suppose the distance you travel to school is 5 mi . What is the total distance for 197 trips from home to school? Use mental math.

Simplify each expression by combining like terms.
53. 11x+9x11 x+9 x
54. 8y7y8 y-7 y

See Problem 5.
56. n+4n-n+4 n
57. 5w2+12w25 w^{2}+12 w^{2}
55. 5t7t5 t-7 t
59. 4y2+9y2-4 y^{2}+9 y^{2}
60. 6c4+2c76 c-4+2 c-7
58. 2x29x22 x^{2}-9 x^{2}
62. 2n+14mn2 n+1-4 m-n
63. 7h+3h24h3-7 h+3 h^{2}-4 h-3
61. 53x+y+65-3 x+y+6
64. 10ab+2ab29ab10 a b+2 a b^{2}-9 a b

Write a word phrase for each expression. Then simplify each expression.
65. 3(t1)3(t-1)
66. 4(d+7)4(d+7)
67. 13(6x1)\frac{1}{3}(6 x-1)

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Problem 1195

Perform the indicated operation. x+72x2+5x+3+x2x2+3x+1x+72x2+5x+3+x2x2+3x+1=\begin{array}{l} \frac{x+7}{2 x^{2}+5 x+3}+\frac{x}{2 x^{2}+3 x+1} \\ \frac{x+7}{2 x^{2}+5 x+3}+\frac{x}{2 x^{2}+3 x+1}= \end{array} \square (Simplify your answer. Type your answer in factored form.)

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Problem 1196

Evaluate the definite integral (if it exists) ee46xln(x)dx\int_{e}^{e^{4}} \frac{-6}{x \sqrt{\ln (x)}} d x
If the integral does not exist, type "DNE".

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Problem 1197

Here are some facts about units of volume. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline \end{tabular} \begin{tabular}{ccc} cup & c & 1c=8floz1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz} \\ pint & pt & 1pt=2c1 \mathrm{pt}=2 \mathrm{c} \\ \hline quart & qt & 1qt=2pt1 \mathrm{qt}=2 \mathrm{pt} \\ \hline gallon & gal & 1gal=4qt1 \mathrm{gal}=4 \mathrm{qt} \end{tabular}
Fill in the blanks. 4pt=c28qt=gal\begin{aligned} 4 \mathrm{pt} & =\llbracket \mathrm{c} \\ 28 \mathrm{qt} & =\square \mathrm{gal} \end{aligned}

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Problem 1198

SAT /ACT/ A C T Given AB=BD=BC=DCA B=B D=B C=D C ano mABC=114m \angle A B C=114, what is mBADm \angle B A D ?

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Problem 1199

SAT /ACT/ A C T Given AB=BD=BC=DCA B=B D=B C=D C ano mABC=114m \angle A B C=114, what is mBADm \angle B A D ?

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Problem 1200

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|l|}{Solving Percent Problems} \\ \hline \multicolumn{2}{|l|}{Solve the following percent problems. Round your answers to two decimal places as needed.} \\ \hline What percent is 56 of 59 ? & \% \\ \hline 2.9%2.9 \% of what number is 17.3 ? & \\ \hline What percent of 163 is 261 ? & \% \\ \hline What percent is 25\frac{2}{5} of 65\frac{6}{5} ? & \% \\ \hline 0.66%0.66 \% of 987 is what amount? & \\ \hline 169%169 \% of what number is 43 ? & \\ \hline \end{tabular}

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