Expression

Problem 9301

Factor the following quadratic expressions:
1) $x^{2} + 3x + 1$
2) $x^{2} + 5x + 2$

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Problem 9302

Practice Condense each logarithm. Your response will be the expression that will be within the single logarithm. Refer back to your notes on Slide 7 if you need assistance. \begin{tabular}{|c|c|} \hline Expression & Expression within the log \\ \hline $2 \log b+3 \log c$ & $b^{2} c^{3}$ \\ \hline $2 \log a-4 \log b$ & \\ \hline $\frac{1}{2} \ln a+2 \ln c$ & \\ \hline $\frac{1}{2}(\log b-\log c)$ & \\ \hline $2 \log c-(3 \log a+\log b)$ & \\ \hline \end{tabular}

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Problem 9303

Homepage - IRSC Assessment
Question 4
Subtract and simplify: $\frac{10 x+9}{3 x^{2}}-\frac{-10 x+9}{3 x^{2}}$
Enter the numerator and denominator separately in the boxes below. If the denominator is 1 , enter the number 1. Do not leave either box blank. Answer: $\square$
Numerator preview:

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Problem 9304

Simplify the expression. Write the answer using positive exponents. $\left(s^{4}\right)^{-3}$ $\square$ Suggested tutorial: $\square$

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Problem 9305

Use the zero exponent rule to simplify. $\begin{array}{c} 7^{0} \\ 7^{0}= \end{array}$

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Problem 9306

Simplify the expression. Write the answer using positive exponents. $-\frac{t^{-6}}{19 p^{-9}}$ $\square$ Need Help? Read It

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Problem 9307

Las medianas del $\triangle D E F$ son $\overline{D K}, \overline{E L}$ y $\overline{F J}$ . Se encuentran en un punto único $M$ . (En otras palabras, $M$ es el baricentro del $\triangle D E F$ ). Suponer que $M L=9, M J=8$ y $D K=24$ . Hallar las longitudes siguientes. Observar que la figura no está trazada a escala. $\begin{array}{c} F J= \\ D M= \\ E M= \end{array}$

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Problem 9308

1. Holsteins to Jersey
4. Holsteins to non-Holsteins
5. Holsteins to
Express the answers to the following questions in lowest terms using the word "to."
1. A school has 2,600 students and 104 teachers. What is the student-to-teacher ratio?
8. A store has 10 departments and 48 employees. What is
9. A department store ordered 80 regular-length sular lengths to talls? regular lengths to both other lengths combined? regular
10. Some concrete was mixed using 550 lb . of cement and $1,650 \mathrm{lb}$ , of sand. What was the ratio of cement to sand?
11. If concrete is mixed using $1,650 \mathrm{lb}$ . of sand and 330 lb . of water, what is the ratio of sand to water?
12. Mr. and Mrs. Jackson have fourteen grandchildren. Find the ratio of girls to boys if there are four more girls than boys.

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Problem 9309

Simplify. $\sqrt{45}$ $\square$ submit

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Problem 9310

Exit Ticket 8-3
Find the distance between points $(3,5)$ and $(4,6)$ to the nearest tenth. 2 3.2 1.4 2.8

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Problem 9311

11) $24 x^{2}-54$ 12) $8 x^{2}-98$

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Problem 9312

Simplify. $8 \sqrt{45}$ $\square$ Submit

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Problem 9313

Name: $\qquad$ Practice \& Problem Solving In 11-14, write an algebraic expression for each situation.
11. 12 times a number $g$
129
13. 22 divided by a number $s$ $22 \div 5$
In 15-18, tell how many terms each expression has.
15. $5-g 2$
17. $\left.\frac{v}{3}+2 \cdot 5\right\}$
In 19 and 20 , use the expression $5.3 t-(20 \div 4)+11$ .
19. Which part of the expression is a quotient? Describe its parts.
16. $3+\frac{1}{2} b 3$
18. $16.2-(3 \cdot 4)+(14 \div 2)$ 0 A quotient is $20 \div 4$ its parts are to tivide $20 \div 4$ . Scan for Multimedia
12. $p$ pennies added to 22 pennies $22+p$
14. $12 \frac{3}{4}$ less than the product of 7 and a number $7 \cdot x-12 \frac{3}{4}$ practice (1)

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Problem 9314

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

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Problem 9315

Simplify by factoring. $\sqrt{63}$ $\sqrt{63}=\square$ (Type an exact an as needed.)

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Problem 9316

If $\tan (\theta)=\frac{24}{7}, 0 \leq \theta \leq \frac{\pi}{2}$ , then $\sin (\theta)$ equals $\square$ $\cos (\theta)$ equals $\square$ $\sec (\theta)$ equals $\square$

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Problem 9317

Use the compound interest formula to determine the final value of the following amount. $\$ 1400$ at $10.5 \%$ compounded monthly for 1.5 years
What is the final value of the amount? \\square$ (Simplify your answer. Round to the nearest cent.)

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Problem 9318

Find the unit rate.
23. 70 words in 2 min .
25. 580 mi . on 29 gal .
27. $\$ 2.95$ for 5 cans
29. 5 lawns for $\$ 90$
24. 270 acres in 3 days
26. 130 yd. on 25 carries
28. $\$ 75$ for 30 lb .
30. $\$ 306$ payment for 36 hr .

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Problem 9319

Divide. Give your answer in scientific notation. $\frac{9.6 \times 10^{17}}{4.0 \times 10^{7}}$ $\square$ $\times 10$ $\square$ Need Help? $\square$ Read It

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Problem 9320

Which expressions can be used to find the measure of $\angle \theta$ ? Choose all that apply.

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Problem 9321

Evaluate the expression. $4 \div 2+5$ $\square$

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Problem 9322

Factor the trinomial completely. $4 x^{2}+32 x-80$

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Problem 9323

Simplify the expression using the order of operations. $\begin{aligned} (4+5)^{2}-3 & =\square^{2}-3 \\ & =\square-3 \\ & =\square \end{aligned}$

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Problem 9324

Factor the binomial completely. $4 r^{2}-81$

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Problem 9325

Evaluate the logarithmic expression without using a calculator. $\log _{7} 343$ $\square$ (Type an integer or a simplified fraction.)

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Problem 9326

Simplify. Use a graphing calculator table to verify your result when possible. Assume that each variable is nonnegative. $\begin{array}{r} -5 \sqrt{7 x} \cdot 2 \sqrt{3 x} \\ -5 \sqrt{7 x} \cdot 2 \sqrt{3 x}= \end{array}$ $\square$ (Type an exact answer, using radicals as needed.)

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Problem 9327

Simplify the expression using the order of operations. $\begin{aligned} 25-2 \times 3^{2} & =25-2 \times \square \\ & =25-\square \\ & =\square \end{aligned}$

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Problem 9328

Use the results from a survey of a simple random sample of 1130 adults. Among the 1130 respondents, $59 \%$ rated themselves as above average drivers. We want to test the claim that $\frac{11}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. $\square$ (Round to the nearest whole number as needed.)

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Problem 9329

Evaluate the expression without using a calculator. $\begin{array}{c} \ln \sqrt[8]{e^{7}} \\ \ln \sqrt[8]{e^{7}}= \end{array}$ $\square$ (Type an integer or a simplified fraction.)

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Problem 9330

Rewrite as a sum or difference of multiples of logarithms without exponents. Assume $x$ and $y$ are positive real numbers. Expand the expression as far as possible. $\begin{array}{l} \log \left(x^{7} y^{9}\right) \\ \log \left(x^{7} y^{9}\right)= \end{array}$ $\square$ (Type an exact answer in simplified form.)

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Problem 9331

Evaluate the expression. $7^{2}+(8 \cdot 3)$

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Problem 9332

$-4 x^{2}\left(-4 x^{2}+3 x+7\right)$

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Problem 9333

Simplify the expression using the order of operations. $\begin{aligned} 7^{2}-6-5 & =\square-6-5 \\ & =\square-5 \\ & =\square \end{aligned}$

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Problem 9334

$2 x\left(-8 x^{2}+3 x\right)$

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Problem 9335

$\begin{array}{r}-2.65-16.3= \\ 25.6+(-53.93)=\end{array}$

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Problem 9336

Determine the exact degree measure for $\frac{2 \pi}{5}$ . a) $144^{\circ}$ b) $36^{\circ}$ c) $72^{\circ}$ d) $226^{\circ}$

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Problem 9337

Evaluate. $68-13(7-5)^{2}+2^{3}$

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Problem 9338

Divide. Express your answer in lowest terms. $\begin{array}{l} \frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}} \\ \frac{30 x^{2}+11 x y-30 y^{2}}{48 x^{2}-46 x y+5 y^{2}} \div \frac{25 x^{2}-60 x y+36 y^{2}}{40 x^{2}-53 x y+6 y^{2}}= \end{array}$

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Problem 9339

FCPS Managed Bookmarks 5.3 Distributive Property
1. Rewrite the expression $6(b+10)$ using the distributive property. $6(b+10)=$
Enter your next step here $\square$

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Problem 9340

J) Simplify the expression using the order of operations. $\begin{aligned} (12 \div 3)^{2} \div 2+7 & =\square^{2} \div 2+7 \\ & =\square \div 2+7 \\ & =\square+7 \\ & =\square \end{aligned}$

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Problem 9341

Find the GCF of $48 x$ and $32 x$ .

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Problem 9342

Assuming $x$ and $z$ are positive real numbers, use the properties of logarithms to write the expression as a single logarithm. $\begin{array}{l} 5 \ln x+4 \ln z \\ 5 \ln x+4 \ln z= \end{array}$

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Problem 9343

Simplify the expression using the order of operations. $\begin{aligned} 16-4 \times 3^{2} \div 12 & =16-4 \times \square \div 12 \\ & =16-\square \div 12 \\ & =16-\square \\ & =\square \end{aligned}$

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Problem 9344

What is the prime factorization of each expression?
$\text { A) } \begin{aligned} 8 x y & =8 \cdot x \cdot y \\ 12 x & =12 \cdot x \end{aligned}$ B) $\begin{array}{l} 8 x y=1 \cdot 8 \cdot x \cdot y \\ 12 x=1 \cdot 12 \cdot x \end{array}$ C) $\begin{array}{l} 8 x y=2 \cdot 4 \cdot x \cdot y \\ 12 x=2 \cdot 6 \cdot x \end{array}$
$\text { D) } \begin{aligned} 8 x y & =2 \cdot 2 \cdot 2 \cdot x \cdot y \\ 12 x & =2 \cdot 2 \cdot 3 \cdot x \end{aligned}$

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Problem 9345

Part B What is the GCF of $8 x y$ and $12 x$ ?

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Problem 9346

If a ball travels around a circle of radius 4 m in 1.5 minutes, what is the angular spee of the ball? a) $\frac{\pi}{45}$ radians $/ \mathrm{s}$ b) $\frac{2 \pi}{45}$ radians $/ \mathrm{s}$ c) $\frac{\pi}{30}$ radians $/ \mathrm{s}$ d) $\frac{2 \pi}{1.5}$ radians $/ \mathrm{s}$

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Problem 9347

(b) Factor out $2 x$ . $-4 x^{5}-2 x^{2}+6 x=$ $\square$

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Problem 9348

Which of the following ratios is equivalent to 2:3? A $\frac{1}{2}$ C $\frac{12}{13}$ B $\frac{4}{6}$ D $\frac{20}{25}$

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Problem 9349

Lesson Summary - Use the properties of operations to add and subtract rational numbers more efficiently. For instance, $-5 \frac{2}{9}+3.7+5 \frac{2}{9}=\left(-5 \frac{2}{9}+5 \frac{2}{9}\right)+3.7=0+3.7=3.7$ . - The opposite of a sum is the sum of its opposites as shown in the examples that follow: $\begin{array}{l} -4 \frac{4}{7}=-4+\left(-\frac{4}{7}\right) \\ -(5+3)=-5+(-3) \end{array}$
Problem Set
Show all steps taken to rewrite each of the following as a single rational number.
1. $80+\left(-22 \frac{4}{15}\right)$
2. $10+\left(-3 \frac{3}{8}\right)$
3. $\frac{1}{5}+20.3-\left(-5 \frac{3}{5}\right)$
4. $\frac{11}{12}-(-10)-\frac{5}{6}$

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Problem 9350

Factor $5 x+35$ . If the expression cannot be factored, write cannot be fact $+-x \div\left|\frac{\square}{\square} \quad \square^{\square} \quad \sqrt{\square} \quad \sqrt{\square}\right|= \pm<>\leq \geq \mid$ () $\mid \pi$

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Problem 9351

Simplify. Assume that the variable is nonnegative. $\begin{array}{c} \frac{3}{4 \sqrt[7]{x}} \\ \frac{3}{4 \sqrt[7]{x}}= \end{array}$ $\square$ (Type an exact answer, using radicals as needed. Rationalize the denominator.)

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Problem 9352

(3)

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Problem 9353

Factor $32 x-15$ . If the expression cannot be factored, write cannot be fac

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Problem 9354

4. The simplified form of $\frac{x^{2}-4}{x+3} \div \frac{2 x+4}{x^{2}-9}$

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Problem 9355

Write the expression as a single logarith $3 \log _{a} z+3\left(\log _{a} x-5 \log _{a} w\right)$

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Problem 9356

Part 4 of 4
Soon after the euro was introduced as a currency in Europe, it was widely reported that someone had spun a euro coin 250 times and gotten he coin. Complete parts a) through c) below. a) Estimate the true proportion of.heads. Use a $90 \%$ confidence interval. Don't forget to check the conditions first.
Are the conditions satisfied? A. The $10 \%$ Condition and the Success/Failure Condition are both met. The Randomization Condition is not met. B. The Randomization Condition and the $10 \%$ Condition are both met. The Success/Failure Condition is not met. C. The Randomization Condition and the Success/Failure Condition are both met. The $10 \%$ Condition is not met. D. The Independence Assumption is not plausible. The $10 \%$ Condition is not met. E. The Randomization Condition is met. Neither the $10 \%$ Condition nor the Success/Failure Condition are met. F. All necessary assumptions and conditions are met.
The 90\% confidence interval is ( $0.468,0.572$ ). (Use ascending order. Round to three decimal places as needed.) b) Does your confidence interval provide evidence that the coin is unfair when spun? Explain.
Since 0.50 is $\square$ within the interval, there $\square$ evidence that the coin is unfair when spun. c) What is the significance level of this test? Explain.
The significance level is $\alpha=$ $\square$ . The test is a(n) $\square$ test based on the 90\% confidence interval above. (Type an integer or a decimal.)

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Problem 9357

Write the partial fraction decomposition of the rational expression. $\frac{x}{(x-2)(x-3)}$ $\frac{x}{(x-2)(x-3)}=\square$ (Use integers or fractions for any numbers in the expression.)

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Problem 9358

Question 25 (1 point) Which of the following radian measures is the largest? a) $\frac{12 \pi}{9}$ b) None of the above C) $\frac{3 \pi}{2}$ d) $\frac{7 \pi}{4}$

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Problem 9359

bus ules les tortrack-CA Classroom II Next Question
Mate

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Problem 9360

Frank is going to plant $y$ vegetable seeds in one garden and $4 y+10$ vegetable seeds in another. How many seeds is Frank going to plant? $\qquad$ Frank is going to plant $\square$ seeds. (Simplify your answer.)

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Problem 9361

3-5: Lesson Quiz
Evaluate $a^{2}+7 b-5 c$ for $a=-4, b=-1$ , and $c=3$ . $-38$ -6 6 8

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Problem 9362

$\int_{e}^{e^{3}} \frac{d t}{7 t \ln t}=$

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Problem 9363

4. If the measure of an angle is $13^{\circ}$ , find the measure of its supplement.

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Problem 9364

$\lim _{x \rightarrow \frac{\pi}{2}} \frac{x \sin (3 x)}{\cos (x)}$

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Problem 9365

$1,503 \div 6=$

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Problem 9366

Question Watch Video Show Examples
Use an exponent to condense the expression below. Then compute. $4 \times 4 \times 4$
Answer Attempt 1 out of 2
Type the base, then use the $a^{b}$ button or use the ${ }^{\wedge}$ symbol on your keyboard for the exponent.
Condensed form: $\square$ $a^{b}$
Answer: $\square$

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Problem 9367

Question Find the missing side length. Then find the area.

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Problem 9368

Question 9-5 marks The simplified form of the expression $\frac{\sin x \sin x}{(1-\sin x)(1+\sin x)}$ is a) $\frac{\sin ^{2} x}{\cos x}$ c) $\tan ^{2} x$ b) $\frac{\sin ^{2} x}{\sin x}$ d) $\frac{\sin ^{2} x}{1+\sin ^{2} x}$

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Problem 9369

Use an exponent to condense the expression below. Then compute. $10 \times 10 \times 10 \times 10 \times 10 \times 10$
Answer Attempt 1 out of 2 Type the base, then use the $a^{b}$ button or use the ${ }^{\wedge}$ symbol on your keyboard for the exponent.
Condensed form: $\square$ $a^{b}$
Answer: $\square$ Submit Answer

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Problem 9370

Question 10 - 5 marks Which of the following expresses $(4-\sqrt{7})(5+\sqrt{60})$ in simplest form? a) $-21 \sqrt{97}$ b) $20-2 \sqrt{105}$ c) $20+40 \sqrt{6}-5 \sqrt{7}-10 \sqrt{42}$ d) $20+8 \sqrt{15}-5 \sqrt{7}-2 \sqrt{105}$

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Problem 9371

Use multiplication to expand the expression below. Then compute. $4^{4}$
Answer Attempt 1 out of 2
Press the $\times$ button or type the * symbol on your keyboard to represent multiplication.
Expanded form: $\square$ $\square$
Answer: $\square$

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Problem 9372

Use the properties of logarithms to expand the following expression. $\log \sqrt[3]{\frac{x y^{4}}{z^{2}}}$

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Problem 9373

$-0.2 \times-\frac{2}{5}$

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Problem 9374

$\overline{-6}-\overline{5}$
Write your answer as a fraction in simplest form.

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Problem 9375

Use the properties of logarithms to expand the following expression. $\log \left(\frac{\sqrt[3]{x^{5} z}}{y^{2}}\right)$

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Problem 9376

Add. $\frac{5}{9}+\frac{5}{-2}$
Write your answer as a fraction in simplest form.

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Problem 9377

5. 8 liters $\approx$ $\qquad$ quarts 1 liter $\approx 1.06$ quarts

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Problem 9378

All previous units in the textbook have used the "Base-10" or "Decimal" numbering system. Base-10 is the most common of all numbering systems in use today, worldwide, but it is not the only one in use. Computers operate on Binary calculations. Therefore number systems of Base-8 (octal) and Base-16 (hexadecimal) are useful to computers, whereas Base-10 cannot be readily used by computers without an interpretation algorhythm, which slows everything down.
When a computer operates in the Octal system, the digit word length is three data bits long. When a computer operates in the hexadecimal system, the digit word length is only four data bits long. Please see the table on the page 251 of your textbook. (The table on page 248 has errors in the binary column)
Don't be confused by the hexadecimal system use of the letters A B C D E and F as digits. Please note that digit $D$ is equal in value to, but does not represent decimal number 13 . It is a distinct digit in the "hex" system. It works because it is a single digit, where 13 would not work because 13 is two digits.
Use your textbook for guidance where needed. Feel free to "Google" these questions. Question: What is the Binary equivalent to the "Hex" number 3F? (A) 111111 (B) 11110 (C) 111011 (D) 100111

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Problem 9379

Evaluate the expression when $n=2$ . $n^{2}+8 n-6$

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Problem 9380

$\sqrt{63 x^{5} y^{4} c^{8}}$

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Problem 9381

actoring: A General Strategy Question 4 of 6
Factor completely. If the polynomial is prime, state this. $2 q^{2}+3 q r-35 r^{2}$
Select the correct choice and, if necessary, fill in any answer boxes within your choice. A. $2 q^{2}+3 q r-35 r^{2}=$ $\square$ B. The polynomial is prime.

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Problem 9382

1. Round to the underlined place $15,372$

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Problem 9383

Write the expression as a single logarithm. $2 \log _{m} y+2\left(\log _{m} z-3 \log _{m} w\right)$

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Problem 9384

implify: $\left(-10 x^{2}\right)\left(-2 x^{4}\right)$
Answer $\square$

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Problem 9385

$0.1 \times 30=$ $\qquad$ $0.01 \times 30=$ $\qquad$

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Problem 9386

Combine any like terms in the expression. If there are no like terms, rewrite the expression. $4 x+x-x$ $\square$ Submit

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Problem 9387

MHF4UZ - Assessment \#6 Night School Dec 02, 2024
Name of Student: $\qquad$ Student ID: $\qquad$ Q. 1 Simplify each expression: Write the formula you will use to solve the Trig function a) $\operatorname{Cos} \frac{7 \pi}{12} \operatorname{Cos} \frac{5 \pi}{12}+\operatorname{Sin} \frac{7 \pi}{12} \sin \frac{5 \pi}{12}$ b) $\sin 2 x \cos x-\cos 2 x \operatorname{Sin} x$

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Problem 9388

Videc
Combine any like terms in the expression. If there are no like terms, rewrite the expression. $3 v+v$ $\square$ Submit

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Problem 9389

A block hangs on a spring attached to the ceiling and is pulled down 11 in below its equilibrium position. After release, the block makes one complete up-anddown cycle in 1 sec and follows simple harmonic motion.
Part: $0 / 5$
Part 1 of 5 (a) What is the period of motion? $P=$ $\square$ sec

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Problem 9390

Perform the operation and combine to one fraction. $\frac{7}{x^{2}-49}+\frac{7 x}{x-7}$

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Problem 9391

12-6
1. Compute $\frac{4^{2}}{3^{4}} \div \frac{2^{8}}{9^{3}}$
2. $2^{(-4)^{0}}$
3. $2^{3} \div 2^{-4}$
4. $(-3)^{-5} \cdot 3^{3}$
5. $3^{7} \cdot 3^{-4}$
6. $1 \div 5^{-2}$
7. $\left(\frac{1}{4}\right)^{-3} \cdot 8^{-2}$

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Problem 9392

Evaluate the expression and write the answer as a mixed number: $-3 \frac{7}{9} \times -\frac{3}{10}$ .

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Problem 9393

Simplify the expression $(\sqrt{6}+5)(\sqrt{6}-5)$ .

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Problem 9394

Find the average rate of change of Company B's stock price from January ( $28) to April ($ 22). Round to the nearest cent.

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Problem 9395

Evaluate $-4 \frac{4}{5} \times \frac{1}{4}$ and express the answer as a simplified mixed number.

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Problem 9396

Calculate the distance between -11.7 and -2.5. Click "try" when finished.

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Problem 9397

Evaluate the expression: $-4 \frac{1}{4} \div \frac{1}{2}$ and express your answer as a mixed number in simplest form.

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Problem 9398

Calculate the distance between -3.9 and 9.8. Use the formula $d = |x_2 - x_1|$ .

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Problem 9399

Calculate the distance between -10.1 and 1.2. Use the formula $d = |x_1 - x_2|$ .

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Problem 9400

Calculate the distance between 0.3 and 5.9. Use the formula: distance = |5.9 - 0.3|.

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1 ...91 92 93 94 95 96 97 ...144

Expression

Problem 9301

Factor the following quadratic expressions:1) x2+3x+1x^{2} + 3x + 1x2+3x+12) x2+5x+2x^{2} + 5x + 2x2+5x+2

Problem 9302

Problem 9303

Problem 9304

Simplify the expression. Write the answer using positive exponents. (s4)−3\left(s^{4}\right)^{-3}(s4)−3 □\square□ Suggested tutorial: □\square□

Problem 9305

Use the zero exponent rule to simplify. 7070=\begin{array}{c} 7^{0} \\ 7^{0}= \end{array}7070=​

Problem 9306

Simplify the expression. Write the answer using positive exponents. −t−619p−9-\frac{t^{-6}}{19 p^{-9}}−19p−9t−6​ □\square□ Need Help? Read It

Problem 9307

Problem 9308

Problem 9309

Simplify. 45\sqrt{45}45​ □\square□ submit

Problem 9310

Exit Ticket 8-3Find the distance between points (3,5)(3,5)(3,5) and (4,6)(4,6)(4,6) to the nearest tenth. 2 3.2 1.4 2.8

Problem 9311

11) 24x2−5424 x^{2}-5424x2−54 12) 8x2−988 x^{2}-988x2−98

Problem 9312

Simplify. 8458 \sqrt{45}845​ □\square□ Submit

Problem 9313

Problem 9314

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres13. Pedro to Harry14. Ike to Pedro15. Ike to Harry16. Harry to Pedro17. Pedro to Ike and Harry18. Ike to Pedro and Harry

Problem 9315

Simplify by factoring. 63\sqrt{63}63​ 63=□\sqrt{63}=\square63​=□ (Type an exact an as needed.)

Problem 9316

If tan⁡(θ)=247,0≤θ≤π2\tan (\theta)=\frac{24}{7}, 0 \leq \theta \leq \frac{\pi}{2}tan(θ)=724​,0≤θ≤2π​, then sin⁡(θ)\sin (\theta)sin(θ) equals □\square□ cos⁡(θ)\cos (\theta)cos(θ) equals □\square□ sec⁡(θ)\sec (\theta)sec(θ) equals □\square□

Problem 9317

Use the compound interest formula to determine the final value of the following amount. $1400\$ 1400$1400 at 10.5%10.5 \%10.5% compounded monthly for 1.5 yearsWhat is the final value of the amount? \ \square$ (Simplify your answer. Round to the nearest cent.)

Problem 9318

Find the unit rate.23. 70 words in 2 min .25. 580 mi . on 29 gal .27. $2.95\$ 2.95$2.95 for 5 cans29. 5 lawns for $90\$ 90$9024. 270 acres in 3 days26. 130 yd. on 25 carries28. $75\$ 75$75 for 30 lb .30. $306\$ 306$306 payment for 36 hr .

Problem 9319

Divide. Give your answer in scientific notation. 9.6×10174.0×107\frac{9.6 \times 10^{17}}{4.0 \times 10^{7}}4.0×1079.6×1017​ □\square□ ×10\times 10×10 □\square□ Need Help? □\square□ Read It

Problem 9320

Which expressions can be used to find the measure of ∠θ\angle \theta∠θ ? Choose all that apply.

Problem 9321

Evaluate the expression. 4÷2+54 \div 2+54÷2+5 □\square□

Problem 9322

Factor the trinomial completely. 4x2+32x−804 x^{2}+32 x-804x2+32x−80

Problem 9323

Simplify the expression using the order of operations. (4+5)2−3=□2−3=□−3=□\begin{aligned} (4+5)^{2}-3 & =\square^{2}-3 \\ & =\square-3 \\ & =\square \end{aligned}(4+5)2−3​=□2−3=□−3=□​

Problem 9324

Factor the binomial completely. 4r2−814 r^{2}-814r2−81

Problem 9325

Evaluate the logarithmic expression without using a calculator. log⁡7343\log _{7} 343log7​343 □\square□ (Type an integer or a simplified fraction.)

Problem 9326

Problem 9327

Simplify the expression using the order of operations. 25−2×32=25−2×□=25−□=□\begin{aligned} 25-2 \times 3^{2} & =25-2 \times \square \\ & =25-\square \\ & =\square \end{aligned}25−2×32​=25−2×□=25−□=□​

Problem 9328

Problem 9329

Evaluate the expression without using a calculator. ln⁡e78ln⁡e78=\begin{array}{c} \ln \sqrt[8]{e^{7}} \\ \ln \sqrt[8]{e^{7}}= \end{array}ln8e7​ln8e7​=​ □\square□ (Type an integer or a simplified fraction.)

Problem 9330

Problem 9331

Evaluate the expression. 72+(8⋅3)7^{2}+(8 \cdot 3)72+(8⋅3)

Problem 9332

−4x2(−4x2+3x+7)-4 x^{2}\left(-4 x^{2}+3 x+7\right)−4x2(−4x2+3x+7)

Problem 9333

Simplify the expression using the order of operations. 72−6−5=□−6−5=□−5=□\begin{aligned} 7^{2}-6-5 & =\square-6-5 \\ & =\square-5 \\ & =\square \end{aligned}72−6−5​=□−6−5=□−5=□​

Problem 9334

2x(−8x2+3x)2 x\left(-8 x^{2}+3 x\right)2x(−8x2+3x)

Problem 9335

−2.65−16.3=25.6+(−53.93)=\begin{array}{r}-2.65-16.3= \\ 25.6+(-53.93)=\end{array}−2.65−16.3=25.6+(−53.93)=​

Problem 9336

Determine the exact degree measure for 2π5\frac{2 \pi}{5}52π​. a) 144∘144^{\circ}144∘ b) 36∘36^{\circ}36∘ c) 72∘72^{\circ}72∘ d) 226∘226^{\circ}226∘

Problem 9337

Evaluate. 68−13(7−5)2+2368-13(7-5)^{2}+2^{3}68−13(7−5)2+23

Problem 9338

Problem 9339

FCPS Managed Bookmarks 5.3 Distributive Property1. Rewrite the expression 6(b+10)6(b+10)6(b+10) using the distributive property. 6(b+10)=6(b+10)=6(b+10)=Enter your next step here □\square□

Problem 9340

J) Simplify the expression using the order of operations. (12÷3)2÷2+7=□2÷2+7=□÷2+7=□+7=□\begin{aligned} (12 \div 3)^{2} \div 2+7 & =\square^{2} \div 2+7 \\ & =\square \div 2+7 \\ & =\square+7 \\ & =\square \end{aligned}(12÷3)2÷2+7​=□2÷2+7=□÷2+7=□+7=□​

Problem 9341

Find the GCF of 48x48 x48x and 32x32 x32x.

Problem 9342

Assuming xxx and zzz are positive real numbers, use the properties of logarithms to write the expression as a single logarithm. 5ln⁡x+4ln⁡z5ln⁡x+4ln⁡z=\begin{array}{l} 5 \ln x+4 \ln z \\ 5 \ln x+4 \ln z= \end{array}5lnx+4lnz5lnx+4lnz=​

Problem 9343

Problem 9344

Problem 9345

Part B What is the GCF of 8xy8 x y8xy and 12x12 x12x ?

Factor the following quadratic expressions:
1) $x^{2} + 3x + 1$
2) $x^{2} + 5x + 2$

Simplify the expression. Write the answer using positive exponents. $\left(s^{4}\right)^{-3}$ $\square$ Suggested tutorial: $\square$

Use the zero exponent rule to simplify. $\begin{array}{c} 7^{0} \\ 7^{0}= \end{array}$

Simplify the expression. Write the answer using positive exponents. $-\frac{t^{-6}}{19 p^{-9}}$ $\square$ Need Help? Read It

Simplify. $\sqrt{45}$ $\square$ submit

Exit Ticket 8-3
Find the distance between points $(3,5)$ and $(4,6)$ to the nearest tenth. 2 3.2 1.4 2.8

11) $24 x^{2}-54$ 12) $8 x^{2}-98$

Simplify. $8 \sqrt{45}$ $\square$ Submit

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

Simplify by factoring. $\sqrt{63}$ $\sqrt{63}=\square$ (Type an exact an as needed.)

If $\tan (\theta)=\frac{24}{7}, 0 \leq \theta \leq \frac{\pi}{2}$ , then $\sin (\theta)$ equals $\square$ $\cos (\theta)$ equals $\square$ $\sec (\theta)$ equals $\square$

Use the compound interest formula to determine the final value of the following amount. $\$ 1400$ at $10.5 \%$ compounded monthly for 1.5 years
What is the final value of the amount? \\square$ (Simplify your answer. Round to the nearest cent.)

Find the unit rate.
23. 70 words in 2 min .
25. 580 mi . on 29 gal .
27. $\$ 2.95$ for 5 cans
29. 5 lawns for $\$ 90$
24. 270 acres in 3 days
26. 130 yd. on 25 carries
28. $\$ 75$ for 30 lb .
30. $\$ 306$ payment for 36 hr .

Divide. Give your answer in scientific notation. $\frac{9.6 \times 10^{17}}{4.0 \times 10^{7}}$ $\square$ $\times 10$ $\square$ Need Help? $\square$ Read It

Which expressions can be used to find the measure of $\angle \theta$ ? Choose all that apply.

Evaluate the expression. $4 \div 2+5$ $\square$

Factor the trinomial completely. $4 x^{2}+32 x-80$

Simplify the expression using the order of operations. $\begin{aligned} (4+5)^{2}-3 & =\square^{2}-3 \\ & =\square-3 \\ & =\square \end{aligned}$

Factor the binomial completely. $4 r^{2}-81$

Evaluate the logarithmic expression without using a calculator. $\log _{7} 343$ $\square$ (Type an integer or a simplified fraction.)

Simplify the expression using the order of operations. $\begin{aligned} 25-2 \times 3^{2} & =25-2 \times \square \\ & =25-\square \\ & =\square \end{aligned}$

Evaluate the expression without using a calculator. $\begin{array}{c} \ln \sqrt[8]{e^{7}} \\ \ln \sqrt[8]{e^{7}}= \end{array}$ $\square$ (Type an integer or a simplified fraction.)

Evaluate the expression. $7^{2}+(8 \cdot 3)$

$-4 x^{2}\left(-4 x^{2}+3 x+7\right)$

Simplify the expression using the order of operations. $\begin{aligned} 7^{2}-6-5 & =\square-6-5 \\ & =\square-5 \\ & =\square \end{aligned}$

$2 x\left(-8 x^{2}+3 x\right)$

$\begin{array}{r}-2.65-16.3= \\ 25.6+(-53.93)=\end{array}$

Determine the exact degree measure for $\frac{2 \pi}{5}$ . a) $144^{\circ}$ b) $36^{\circ}$ c) $72^{\circ}$ d) $226^{\circ}$

Evaluate. $68-13(7-5)^{2}+2^{3}$

FCPS Managed Bookmarks 5.3 Distributive Property
1. Rewrite the expression $6(b+10)$ using the distributive property. $6(b+10)=$
Enter your next step here $\square$

J) Simplify the expression using the order of operations. $\begin{aligned} (12 \div 3)^{2} \div 2+7 & =\square^{2} \div 2+7 \\ & =\square \div 2+7 \\ & =\square+7 \\ & =\square \end{aligned}$

Find the GCF of $48 x$ and $32 x$ .

Assuming $x$ and $z$ are positive real numbers, use the properties of logarithms to write the expression as a single logarithm. $\begin{array}{l} 5 \ln x+4 \ln z \\ 5 \ln x+4 \ln z= \end{array}$

Part B What is the GCF of $8 x y$ and $12 x$ ?

(b) Factor out $2 x$ . $-4 x^{5}-2 x^{2}+6 x=$ $\square$

Which of the following ratios is equivalent to 2:3? A $\frac{1}{2}$ C $\frac{12}{13}$ B $\frac{4}{6}$ D $\frac{20}{25}$

Simplify. Assume that the variable is nonnegative. $\begin{array}{c} \frac{3}{4 \sqrt[7]{x}} \\ \frac{3}{4 \sqrt[7]{x}}= \end{array}$ $\square$ (Type an exact answer, using radicals as needed. Rationalize the denominator.)

Factor $32 x-15$ . If the expression cannot be factored, write cannot be fac

4. The simplified form of $\frac{x^{2}-4}{x+3} \div \frac{2 x+4}{x^{2}-9}$

Write the expression as a single logarith $3 \log _{a} z+3\left(\log _{a} x-5 \log _{a} w\right)$

Write the partial fraction decomposition of the rational expression. $\frac{x}{(x-2)(x-3)}$ $\frac{x}{(x-2)(x-3)}=\square$ (Use integers or fractions for any numbers in the expression.)

Question 25 (1 point) Which of the following radian measures is the largest? a) $\frac{12 \pi}{9}$ b) None of the above C) $\frac{3 \pi}{2}$ d) $\frac{7 \pi}{4}$

bus ules les tortrack-CA Classroom II Next Question
Mate

Frank is going to plant $y$ vegetable seeds in one garden and $4 y+10$ vegetable seeds in another. How many seeds is Frank going to plant? $\qquad$ Frank is going to plant $\square$ seeds. (Simplify your answer.)

3-5: Lesson Quiz
Evaluate $a^{2}+7 b-5 c$ for $a=-4, b=-1$ , and $c=3$ . $-38$ -6 6 8

$\int_{e}^{e^{3}} \frac{d t}{7 t \ln t}=$

4. If the measure of an angle is $13^{\circ}$ , find the measure of its supplement.

$\lim _{x \rightarrow \frac{\pi}{2}} \frac{x \sin (3 x)}{\cos (x)}$

$1,503 \div 6=$

Use multiplication to expand the expression below. Then compute. $4^{4}$
Answer Attempt 1 out of 2
Press the $\times$ button or type the * symbol on your keyboard to represent multiplication.
Expanded form: $\square$ $\square$
Answer: $\square$

Use the properties of logarithms to expand the following expression. $\log \sqrt[3]{\frac{x y^{4}}{z^{2}}}$

$-0.2 \times-\frac{2}{5}$

$\overline{-6}-\overline{5}$
Write your answer as a fraction in simplest form.