Browse Expression problems Studdy Solved!

Problem 2601

11. Which of the following expressions is equivalent to $\log _{3} 7$ ? (A) $\ln 7-\ln 3$ (B) $\frac{\log _{7} 10}{\log _{3} 10}$ (C) $\frac{\log _{10} 3}{\log _{10} 7}$ (D) $\frac{\ln 7}{\ln 3}$

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Problem 2602

Select the expressions below that match this expression $(4 \times 4) \cdot(4 \times 4) \cdot(4 \times 4)$ $4^{5}$ $4^{10}$ $4^{5} \times 4^{5} \times 4^{5} \times 4^{5} \times 4^{5}$ $\left(4^{2}\right)^{5}$

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Problem 2603

9. The volume and surface area of a square pyramid are given, respectively, by the formulas $V=\frac{1}{3} s^{2} h$ and $S A=\frac{1}{2}(4 s) L+s^{2}$ . Which expression represents the surface area-to-volume ratio for a square pyramid in simplest form?

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Problem 2604

Convert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

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Problem 2605

Which of the expressions below is equal to $3 x+9 y+15$ ? Select all that apply. A) $3(x+y+5)$ B) $3(3 x+3 y)+15$ C) $3(x+3 y+5)$ D) $3 x+3(3 y+5)$ You can earn 5 coins
A в c D Submit

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Problem 2606

Sort the expressions into the categories with which they are equal. Note that some expressions may not belong to any of the categories. $2(y+3)$ $4(y-3)$ $4 y-8+2 y-4$
Equal to $5 y$ - 10 Equal to $3(2 y-4)$ Equal to $2 y$ - 6 $5(y-2)$ $6(y-2)$ $2(y-3)$

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Problem 2607

At a dive-trrough restaurant, Casey's tamily ordered a small drink and medium drinks. Anika's family ordered m medium drinks and a large drink. Use the sign to answer questions $16-18$ . Cick the ican to view the sign.
16. Write an algebraic expression that shows the total cost, in dollars, of both orders.
Choose the correct answer below Sign A. $110+125 \mathrm{~m}+125 \mathrm{~m}$ (B. $110+125 m+125 m+150$ C. $125 m+125 m$ D. $110+125 m+125 m+150 m$
17. Combine like tems to write an expression that is equivelent to the expression you wrote for question 16 .
The simplited expression is $\square$ (Use the operation symbols in the math pelette as needed. Use whole numbers or decimals for any numbers in the of

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Problem 2608

18 Examine the two figures below:
Which of the following statements about the volume and the surface area of the two figures is true? (A) The red figure has the largest volume and surface area. (B) The blue figure has the largest volume and surface area. (6) The red figure has the largest volume and the blue figure has the largest surface area. (D) The blue figure has the largest volume and the red figure has the largest surface area.

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Problem 2609

Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial. $\begin{array}{l} \frac{14}{3 a^{4}}=\frac{}{6 a^{4} b^{3}} \\ \frac{14}{3 a^{4}}=\frac{\square}{6 a^{4} b^{3}} \end{array}$

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Problem 2610

$318 \div 7$

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Problem 2611

How Does an Illiterate Oil-Rich Sheik Sign His Name? For each exercise below, add the polynomials. Find your answer at the bottom of the page and write the letter of that exercise above it. (E) $6 x+9$ (5) $3 x-4$ (1) $\begin{array}{l} 8 x^{2}+2 x+1 \\ x^{2}-4 x+7 \\ \hline \end{array}$ (H) $5 x-7$ $-5 x^{2}-5 x+3$ $6 x^{2}-x$ 兑 $\frac{0}{\overline{0}}$ 菅范 $\frac{\pi}{0}$ ㅇ (U) $\left(7 x^{2}+3 x+9\right)+\left(2 x^{2}+5 x-2\right)$ (T) $\left(2 x^{4}+5 x^{2}-11\right)+\left(-6 x^{4}-7 x^{2}+1\right)$ (O) $\left(-3 x^{2}+x-7\right)+\left(8 x^{2}-4 x-4\right)$ (X) $\left(-4 x^{4}+3 x^{3}-7 x^{2}-x\right)+\left(-9 x^{3}+7 x^{2}-5 x-1\right)$ (5) $\left(6 x^{3}+2 x^{2}-3 x\right)+\left(3 x^{3}-10 x^{2}-x\right)$ (P) $\left(4 x^{2}+3 x y-y^{2}\right)+\left(x^{2}-8 x y-2 y^{2}\right)$ (E) $\left(-4 x^{3}+6 x+1\right)+\left(5 x^{2}-x-12\right)$ (N) $\left(2 x^{2} y-x y^{2}\right)+\left(6 x^{2} y+7 x y^{2}\right)$ (H) $\left(9 x^{3}-x^{2}+8\right)+\left(-9 x^{3}+2 x^{2}+3 x\right)$ (X) $\left(x^{3} y+3 x^{2} y^{2}+2 x y^{3}\right)+\left(2 x^{3} y-9 x^{2} y^{2}-x y^{3}\right)$

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Problem 2612

Rewrite the rational expression as an equivalent rational expression with the given denominator. $\begin{array}{l} \frac{4}{15 x+120}=\frac{?}{15 y(x+8)} \\ \frac{4}{15 x+120}=\frac{\square}{15 y(x+8)} \end{array}$

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Problem 2613

What is the surface area of the pyramid above? (A) $10 \mathrm{~m}^{2}$ (B) $40 \mathrm{~m}^{2}$ (C) $56 \mathrm{~m}^{2}$ (D) $80 \mathrm{~m}^{2}$

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Problem 2614

Question Watch Video Show Examples
Write two numbers that multiply to the value on top and add to the value on bottom.

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Problem 2615

$\frac{(x y)^{-1}\left(4 x y^{2}\right)^{3}}{8 x^{2} y^{8}}$

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Problem 2616

Schoal-Semerte... ƏERIVITA Help Holden Warren Question 2 of 28 PREV NEXT
Simplify the following expression so that it is in lowest terms. Assume that the denominator does not equal 0 . $\frac{7 \cdot 5 x \cdot x \cdot x \cdot x \cdot y \cdot y}{8 \cdot 5 x \cdot x \cdot x \cdot y \cdot y \cdot y \cdot y}$
CHECK ANSWER \begin{tabular}{|c|c|} \hline Question 1 & 100\% \\ \hline \multicolumn{2}{|l|}{Question 2} \\ \hline \multicolumn{2}{|l|}{Question 3} \\ \hline \multicolumn{2}{|l|}{Question 4} \\ \hline \multicolumn{2}{|l|}{Question 5} \\ \hline \multicolumn{2}{|l|}{Question 6} \\ \hline Question 7 & 100\% \\ \hline Question 8 & 100\% \\ \hline Question 9 & 17\% \\ \hline Question 10 & 17\% \\ \hline Question 14 & \\ \hline Question 12 & (100\% \\ \hline \end{tabular}

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Problem 2617

Question 3 of 28 PREV NEXT
Simplify the following expression so that it is in lowest terms. Assume that the denominator does not equal 0 . $\frac{3 a^{2} b^{5}}{3 a^{2} b^{5}}$ Question 1 100\% Question 2 100\% Question 3 Question 4 Question 5 Question 6 Question 7 100\% Question $8 \quad 100 \%$ Question $9 \quad 17 \%$ Question $10 \quad 17 \%$ CHECK ANSWER Queation 14 Question $12 \quad 100 \%$

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Problem 2618

$\frac{(7 x+2)(x+6)}{(x+9)(7 x+2)}$

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Problem 2619

Holden Warren
Apply all relevant properties of exponents to simplify the following rational expression completely. $\frac{3 x y}{30 x^{2} y^{2}}$
CHECK ANSWER

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Problem 2620

$\frac{4 p q}{44 p^{2} q^{2}}$

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Problem 2621

aplify the following rational expression completely. $\frac{5 x+35}{6 x+42}$

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Problem 2622

Write the partial fraction decomposition of the rational expression. $\begin{array}{l} \frac{6 x^{2}-8 x-4}{x^{3}-x} \\ \frac{6 x^{2}-8 x-4}{x^{3}-x}=\frac{4}{x}-\frac{3}{x-1}+\frac{5}{x+1} \end{array}$

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Problem 2623

Perform the indicated operation. $\frac{2}{x+2}+\frac{28}{7 x+14}$ $\frac{2}{x+2}+\frac{28}{7 x+14}=$ $\square$ (Simplify your answer.)

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Problem 2624

Simplify the following rational expression completely. $\frac{x^{2}+12 x+27}{x^{2}+5 x+6}$

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Problem 2625

Perform the indicated operation. Simplify if possible. $\frac{9}{x+8}-\frac{8 x}{x^{2}-64}$ $\frac{9}{x+8}-\frac{8 x}{x^{2}-64}=$ $\square$ (Simplify your answer.)

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Problem 2626

$\left(-\frac{-2 y^{4} \cdot 2 x^{-4} y^{-4}}{x^{-3}}\right)^{-3}$

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Problem 2627

Simplify the following rational expression completely. $\frac{p^{3}+8}{p^{2}-4}$

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Problem 2628

$\left(\frac{3}{10}\right)^{2}$

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Problem 2629

Simplify the expression: $\frac{6-z}{z-6}$ .

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Problem 2630

$\frac{y^{2}+y-56}{49-y^{2}}$

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Problem 2631

- algebraic expression to. in - base (p. 10) - exponent - coefficient (p. 48) - inductive reasoning - order of operatiom. - constant (p. 48) (p. 63) (p. 11) - counterexample (p. 25) - inequality (p. 19) - perfect square (p. 17) - deductive reasoning (p. 25) - Distributive Property (p. 46) - element of the set (p. 17) - equation (p. 53) - integer (p. 18) - power (p. 10) - irrational number (p. 18) - like terms (p. 48) - quantity (p. 4) - multiplicative inverse - radical (p. 16) - radicand (p. 16)
Choose the correct term to complete each sentence.
1. Real numbers that you cannot represent as a quotient of two integers are ? numbers.
2. The sum of a number and its ? equals zero.
3. You can simplify an expression by combining ?
4. ? is a number's distance from zero on a number line.
5. When you make conclusions based on patterns you observe, you use ?. 68 Chapter 1 Chapter Review

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Problem 2632

Graph rectangle $H I J K$ with vertices $H(10,0), I(10,3), J(-6,3)$ , and $K(-6,0)$ .
What is the area of rectangle HIJK?

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Problem 2633

Teris ans Dover spurs fecont the partal proucts in the area moces.
52. $\square$ 5. * $\qquad$

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Problem 2634

Brian sets up the distance formula to find the length, $d$ , of the line segment. His work is shown. What error, if any, did Brian make? $d=\sqrt{\left(x_{2}-\left(-3_{1}\right)\right)^{2}+\left(y_{1}-\left(0_{1}\right)^{2}\right.}$ A. He subtracted the coordinates instead of adding them to get the distance terms. B. He incorrectly found $d$ , instead of $d^{2}$ . C. The point he chose to draw the legs of the triangle does not form a right angle. D. He incorrectly squared each distance term

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Problem 2635

Perform the indicated operation. $\frac{2 x}{x-5}-\frac{x}{x-2}$ $\frac{2 x}{x-5}-\frac{x}{x-2}=$ $\square$ (Simplify your answer.)

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Problem 2636

Perform the indicated operation. $\frac{9}{4-5 x}-\frac{5}{5 x-4}$ $\frac{9}{4-5 x}-\frac{5}{5 x-4}=$ $\square$ (Simplify your answer.)

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Problem 2637

$\begin{array}{r} 73 \\ \times 30 \\ \hline 00 \\ +2.100 \\ \hline \end{array}$
2. 190

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Problem 2638

Question 2 (1 point)
Rewrite following fraction into lowest terms $\frac{56}{96}$ $12 / 21$ 28/48 7/12 8/12

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Problem 2639

Perform the indicated operation. $\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}$ $\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}=$ $\square$ (Simplify your answer.)

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Problem 2640

Perform the indicated operation. $\frac{8 a}{5 a-5}-\frac{a-7}{a-1}$ $\frac{8 a}{5 a-5}-\frac{a-7}{a-1}=$ $\square$ (Simplify your answer.)

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Problem 2641

Perform the indicated operation. $\frac{4}{7-x}+\frac{x}{3 x-21}$ $\frac{4}{7-x}+\frac{x}{3 x-21}=$ $\square$ (Simplify your answer.)

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Problem 2642

The atmospheric pressure on the surface of Venus is 90 . atm. Calculate the atmospheric pressure in kPa . Be sure your answer has the right number of significant digits. kPa ×10

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Problem 2643

Simplify. $\frac{\frac{1}{x}+7}{\frac{1}{x}-5}$

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Problem 2644

arvá
Metropolis Here's the neighborhood you created and a neighborhood in Metropolis.
Metropolis requires a ratio of $7: 2$ market-rate housing to affordable housing units.
How does your neighborhood compare to Metropolis's requirement?
Metropolis Neighborhood $\sqrt{ \pm}$ Share With Class

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Problem 2645

(3) 团用自 00 $\qquad$ 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? $\qquad$ Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

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Problem 2646

DUE Friday, November 15
1. In a class of 200 students, $15 \%$ wear glasses. How many students wear glasses?
2. Convert the fraction $\frac{3}{8}$ to a decimal and a percentage.
Preentage
3. A shirt originally priced at $\$ 40$ is on sale for $25 \%$ off. What is the discount?
4. Shade $60 \%$ of a $10 \times 10$ grid. What fraction does this represent?
Co 100
5. If 45 out of 180 students chose pizza as their favorite lunch, what percentage is thi $45 \% 18$
Calculate: $5(-3)+12 \div 3-2$ $\qquad$ molas
In a survey of 500 people, $35 \%$ preferred chocolate ice cream. How many people this? $\square$

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Problem 2647

How long will it take you to double your savings with a $7 \%$ annual compound interest rate?
Round up to nearest whole year. Hint: Use Rule of 72 Enter number of years only. $\square$ A

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Problem 2648

Question 6 (1 point)
Which shows the simplified form of this expression? $5\left(-3 m^{2}\right)^{4}-7 n^{5}-\left(m^{4}\right)^{2}$ $-16 m^{8}-7 n^{5}$ $-23 m^{8} n^{5}$ $404 m^{8}-7 n^{5}$ $-406 m^{8}-7 n^{5}$

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Problem 2649

$\frac{1}{3}$
Decimal: $\square$
Percent: $\square$
Percent Ratio: $\square$

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Problem 2650

15 cm H 112 24° x adj OP MAT

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Problem 2651

$36^{\frac{3}{2}}$

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Problem 2652

Iation question
3. Convert the given angles to degrees: $\frac{5 \pi}{3}$ (1 mark)

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Problem 2653

Find each quotient using long and synthetic division. Compare answers to check. LONG DIVISION SYNTHETIC DIVISION
7. (n-3n-1In-3)+(n+1) 42 n+1 n^3-3n^2-11n-3 n^3+1n^2 2n^2-11n n^2+1n
8. (2k+10k-40k+61k-24)+(k+8) -1 1 -3 -11 -3 -8 2 10 -40 61 -24
9. (w-4w-3w+13)+(w-4) 4 1 -4 -3 13

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Problem 2654

Do a double "T" account for each.
1. $\$ 15,000$ equipment purchased with cash

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Problem 2655

45 79 x37 *39 305 1648 13502320 4655 34 3,41

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Problem 2656

Find the greatest common factor (GCF) of the expressions: $48x$ , $64x^3$ , and $44x^2y$ .

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Problem 2657

$\text{Find the greatest common factor (GCF) of the numbers } 30a + b, \, 50b, \, \text{and } 80b.$

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Problem 2658

The expression $\sqrt[3]{2^{5}} \cdot \sqrt{2}$ is equivalent to
Answer $2^{\frac{5}{6}}$ $4^{\frac{13}{6}}$ $2^{\frac{13}{6}}$ $4^{\frac{5}{6}}$

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Problem 2659

1) Find the slope of the line through each pair of points. $\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ a. $(8,-7)$ and $(5,-3)$ . b. $(-5,9)$ and $(5$ , c. $(-8,-4)$ and 11). $(-4,-9)$ .

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Problem 2660

Find the greatest common factor (GCF) of the expressions: $54x^3$ , $63x$ , and $54yx$ .

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Problem 2661

Find a polynomial for the perimeter of the figure to the right. The figure is not drawn to scale.
The perimeter is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression. Do not factor.)

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Problem 2662

Instrucción VII: Resuelve las siguientes operaciones en notación científica. a) $3 \times 10^{4}+7 \times 10^{4}=$ b) $12.3 \times 10^{-5}-5.8 \times 10^{-5}=$ c) $\left(13 \times 10^{4}\right)\left(2.3 \times 10^{6}\right)=$ d) $\frac{\left(15 \times 10^{-3}\right)\left(6 \times 10^{-9}\right)}{18 \times 10^{5}}=$ e) $\frac{\left(7 \times 10^{5}\right)\left(12 \times 10^{8}\right)}{6 \times 10^{12}}=$

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Problem 2663

Instrucción X: Calcula el resultado de las siguientes expresiones mediante la multiplicacic algebraica. a) $(2 x+3)(3 x+5)=$ b) $(x+4)(4 x+7)=$ c) $(5 x+6)(2 x+4)=$

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Problem 2664

$-\frac{\sqrt{74-3}}{9-56}-2 \times 3$ .

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Problem 2665

Since 1871 , the normal internal body temperature for human beings has been $98.6^{\circ} \mathrm{F}$ . This average was based on over a million measurements analyzed by a German physician, Carl Reinhold August Wunderlich. However, in 2020 researchers at Stanford University published a report claiming normal body temperature has dropped since the Industrial Revolution. Analyzing almost 700 000 temperature readings from 1862 to 2017 , the researchers found the average body temperature has decreased by $0.03^{\circ} \mathrm{C}$ per decade. The new average body temperature was found to be $97.9^{\circ} \mathrm{F}$ . What is this temperature in (a) Celsius, and (b) Kelvin? (a) Number i $\square$ Units $\square$ (b) Number i $\square$ Units $\square$

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Problem 2666

Subtract. $-7.8-9.4=$

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Problem 2667

40. When Jim finished the next level of his video game, he won 110 points for fast level completion and lost 10 points for each of the two targets he missed. Write the total change to his score as an integer.

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Problem 2668

Multiply the polynomials. $(x-6)\left(x^{2}+2 x-4\right)$ A. $x^{3}-4 x^{2}-4 x+24$ B. $x^{3}+2 x^{2}-16 x+24$ c. $x^{3}-4 x^{2}-16 x+24$ D. $x^{3}+2 x^{2}-4 x+24$

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Problem 2669

Multiply. $\left(2 x^{2}+6\right)^{2}$ $\left(2 x^{2}+6\right)^{2}=$ $\square$ (Do not factor.)

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Problem 2670

11. $\frac{1}{2} \div 4=$

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Problem 2671

Use a calculator to find the value to the nearest ten-thousandth. $\begin{array}{l} e^{-3.46} \\ e^{-3.46}= \end{array}$ $\square$ (Round to four decimal places as needed.)

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Problem 2672

Calculate the root-mean-square speed of the air pollutant gas $\mathrm{SO}_{2}$ at $25^{\circ} \mathrm{C}$ $\square$ $\mathrm{m} / \mathrm{s}$

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Problem 2673

Multiply the rational expressions. $\frac{3 x-12}{x} \cdot \frac{x^{2}+3 x}{4 x-16}$ $\frac{3 x^{2}+9 x}{4 x^{2}-16}$ $\frac{3(x+3)}{4}$ $\frac{4(x-4)}{x}$ $\frac{3 x^{3}-36 x}{4 x^{2}-16 x}$

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Problem 2674

Perform long division on the expression:
$\frac{x^{4} + 5x^{2} + 8}{x - 1}$

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Problem 2675

2) There are 54 students in Ellie's class, 62 students in Jessica's class and 70 students in Sophie's class. (1) How many students are there in Ellie's and Jessica's classes altogether? (Show your work.)

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Problem 2676

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

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Problem 2677

Question 3 $0.25 p$
The unknown "x" below is much much smaller than 24 . Use a small number approximation to evaluate the following expression to 2 sig fig. $\frac{103}{24+x}$ $\square$
Question 4 0.25 pt
The unknown " $x$ " below is much much smaller than 12 . Use a small number approximation to evaluate the following expression to 3 sig fig. $\frac{190}{12+x}$ $\square$

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Problem 2678

Calculate the markdown rate. \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Salad } \\ \hline Regular Price & $\$ 7$ \\ \hline Sale Price & $\$ 3$ \\ \hline \end{tabular}
Markdown Rate $=$ $\square$ ]\%

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Problem 2679

What is the factored form of the expression over the complex numbers? $4 x^{2}+25 y^{2}$ $(2 x+5 y)(2 x+5 y)$ $(2 x+5 i y)(2 x-5 i y)$ $(2 x-5 i y)(2 x-5 i y)$ $(2 x+5 i y)(2 x+5 i y)$

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Problem 2680

Calculate the markdown rate. \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Jacket } \\ \hline Regular Price & $\$ 25$ \\ \hline Sale Price & $\$ 16$ \\ \hline \end{tabular}
Markdown Rate = $\square$ ]\%
Round to the nearest percent.

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Problem 2681

Evaluate the limit. $\lim _{x \rightarrow 1^{+}}\left(\frac{1}{x-1}-\frac{1}{\sqrt{x-1}}\right)=$ $\square$ (Type an exact answer.)

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Problem 2682

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting an even number, given that a green disk is selected.
Find the probability of selecting an even number, given that a green disk is selected. $\square$ (Type an integer or a simplified fraction.)

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Problem 2683

Exercises Write an algebraic expression for each word phrase.
6. the product of a number $w$ and 737
7. the difference of a number $q$ and 8
8. the sum of a number $x$ and 84
9. 9 more than the product of 51 and a number $t$
10. 14 less than the quotient of 63 and a number $h$
11. a number $b$ less the quotient of a number $k$ and 5 Write a word phrase for each algebraic expression.
12. $12+a$
13. $r-31$
14. $19 t$
15. $b \div 3$
16. $7 c-3$
17. $2+\frac{x}{8}$
18. $\frac{y}{11}-6$
19. $21 d+13$ ating Expressions Exercises Simplify each expression.
20. $9^{2}$
21. $5^{3}$
22. $\left(\frac{1}{6}\right)^{2}$
23. $7^{2} \div 5$
24. $\left(2^{4}-6\right)^{2}$
25. $\left(3^{3}-4\right)+5^{2}$
Evaluate each expression for $c=3$ and $d=5$ .
26. $d^{3} \div 15$
27. $(2+d)^{2}-3^{2}$
28. $c d^{2}+4$
29. $\left(3 c^{2}-3 d\right)^{2}-21$
30. The expression $6 s^{2}$ represents the surface area of a cube with edges of length $s$ . a. What is the cube's surface area when $s=6$ ? b. Reasoning Explain how a cube's surface area changes if you divide $s$ by 2 in the expression $6 s^{2}$ .
31. A race car travels at $205 \mathrm{mi} / \mathrm{h}$ . How far does the car travel in 3 h ?

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Problem 2684

"iki fartdi irrasyonel sayinin çarpum! bir rasyonel sayn olabilir."
Alya סğretmen ठğrencilerinden tahtaya yazdığı liadeye uygun ikd farkı irrasyonel sayı bulmalarını istemiştir. Kerem: $\sqrt{24}$ ile $\sqrt{54}$ Doruk: $4 \sqrt{2}$ ile $\sqrt{98}$ Tunahan: $\sqrt{45}$ ile $4 \sqrt{5}$ Eylot: $2 \sqrt{3}$ ile $\sqrt{72}$ Buna göre hangl öğrencinin bulduğu saylar verilen lfadeye uygun değlldir? A) Kerem B) Doruk C) Tunahan D) Eylal

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Problem 2685

$\left(3 x^{2} y\right)^{3}$

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Problem 2686

Question 13 of 20, Step 1 of 1 Correct
Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable". $12 y^{2}-27 x^{2}$
Answer How to enter your answer (opens in new window)
Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is $\square$ Not Factorable

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Problem 2687

Determine if the limit $\lim _{x \rightarrow 1} \frac{x^{8}-1}{x^{5}-1}$ exists, and if it does, find its value.
1. limit $=-\infty$
2. limit $=\frac{8}{5}$
3. limit $=\frac{5}{8}$
4. none of the other answers
5. limit $=\infty$

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Problem 2688

$x^{-4}$

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Problem 2689

Question Divide: $93.0 \div 15$ .

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Problem 2690

Determine if $\lim _{x \rightarrow-\infty} x^{2} e^{4 x}$ exists, and if it does, find its value.
1. limit $=\frac{1}{2}$
2. limit $=-2$
3. limit $=2$
4. limit $=-\frac{1}{2}$
5. limit $=-\infty$
6. none of the other answers
7. limit $=0$

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Problem 2691

Divide: $1.484 \div 0.28$ .

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Problem 2692

Question Multiply: $\left(-\frac{14}{36}\right)\left(-\frac{6 s}{112}\right)$ .

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Problem 2693

$\frac{4^{2}}{4^{10}}$

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Problem 2694

$53 / 5 /(0.6+1.4) / 2+13 / 2$

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Problem 2695

$2 \div 10$

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Problem 2696

$5 x^{2} \cdot 3 x \cdot 2 x^{4}$

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Problem 2697

$\begin{array}{r}45 \\ \times 42 \\ \hline\end{array}$

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Problem 2698

For problems 1 and 2 , use the diagram of lines $\ell, m$ , and $t$ . Assume $\ell \| m$ .
1. The measure of $\angle 1$ is $130^{\circ}$ . a. What is the measure of $\angle 3$ ? b. Describe a sequence of rigid motions that verifies the measure of $\angle 3$ .
2. The measure of $\angle 2$ is $50^{\circ}$ . a. What is the measure of $\angle 6$ ? b. Describe a sequence of rigid motions that verifies the measure of $\angle 6$ .

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Problem 2699

Divide: $-\frac{6}{38} \div \frac{42}{-15 x}$ . Enter your answer as a simplified fraction.

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Problem 2700

Question Which of the following fractions are equivalent to $\frac{1}{12}$ ? Select all correct answers.
Select all that apply: $\frac{4}{36}$ $\frac{6}{72}$ $\frac{4}{48}$ $\frac{5}{60}$ None of the above

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Expression

Problem 2601

Problem 2602

Problem 2603

9. The volume and surface area of a square pyramid are given, respectively, by the formulas V=13s2hV=\frac{1}{3} s^{2} hV=31​s2h and SA=12(4s)L+s2S A=\frac{1}{2}(4 s) L+s^{2}SA=21​(4s)L+s2. Which expression represents the surface area-to-volume ratio for a square pyramid in simplest form?

Problem 2604

Convert as indicated. 20 miles per hour === \qquad feet per second □\square□ feet per second (Round to the nearest whole number.)

Problem 2605

Which of the expressions below is equal to 3x+9y+153 x+9 y+153x+9y+15 ? Select all that apply. A) 3(x+y+5)3(x+y+5)3(x+y+5) B) 3(3x+3y)+153(3 x+3 y)+153(3x+3y)+15 C) 3(x+3y+5)3(x+3 y+5)3(x+3y+5) D) 3x+3(3y+5)3 x+3(3 y+5)3x+3(3y+5) You can earn 5 coinsA в c D Submit

Problem 2606

Problem 2607

Problem 2608

Problem 2609

Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial. 143a4=6a4b3143a4=□6a4b3\begin{array}{l} \frac{14}{3 a^{4}}=\frac{}{6 a^{4} b^{3}} \\ \frac{14}{3 a^{4}}=\frac{\square}{6 a^{4} b^{3}} \end{array}3a414​=6a4b3​3a414​=6a4b3□​​

Problem 2610

318÷7318 \div 7318÷7

Problem 2611

Problem 2612

Problem 2613

What is the surface area of the pyramid above? (A) 10 m210 \mathrm{~m}^{2}10 m2 (B) 40 m240 \mathrm{~m}^{2}40 m2 (C) 56 m256 \mathrm{~m}^{2}56 m2 (D) 80 m280 \mathrm{~m}^{2}80 m2

Problem 2614

Question Watch Video Show ExamplesWrite two numbers that multiply to the value on top and add to the value on bottom.

Problem 2615

(xy)−1(4xy2)38x2y8\frac{(x y)^{-1}\left(4 x y^{2}\right)^{3}}{8 x^{2} y^{8}}8x2y8(xy)−1(4xy2)3​

Problem 2616

Problem 2617

Problem 2618

(7x+2)(x+6)(x+9)(7x+2)\frac{(7 x+2)(x+6)}{(x+9)(7 x+2)}(x+9)(7x+2)(7x+2)(x+6)​

Problem 2619

Holden WarrenApply all relevant properties of exponents to simplify the following rational expression completely. 3xy30x2y2\frac{3 x y}{30 x^{2} y^{2}}30x2y23xy​CHECK ANSWER

Problem 2620

4pq44p2q2\frac{4 p q}{44 p^{2} q^{2}}44p2q24pq​

Problem 2621

aplify the following rational expression completely. 5x+356x+42\frac{5 x+35}{6 x+42}6x+425x+35​

Problem 2622

Problem 2623

Perform the indicated operation. 2x+2+287x+14\frac{2}{x+2}+\frac{28}{7 x+14}x+22​+7x+1428​ 2x+2+287x+14=\frac{2}{x+2}+\frac{28}{7 x+14}=x+22​+7x+1428​= □\square□ (Simplify your answer.)

Problem 2624

Simplify the following rational expression completely. x2+12x+27x2+5x+6\frac{x^{2}+12 x+27}{x^{2}+5 x+6}x2+5x+6x2+12x+27​

Problem 2625

Perform the indicated operation. Simplify if possible. 9x+8−8xx2−64\frac{9}{x+8}-\frac{8 x}{x^{2}-64}x+89​−x2−648x​ 9x+8−8xx2−64=\frac{9}{x+8}-\frac{8 x}{x^{2}-64}=x+89​−x2−648x​= □\square□ (Simplify your answer.)

Problem 2626

(−−2y4⋅2x−4y−4x−3)−3\left(-\frac{-2 y^{4} \cdot 2 x^{-4} y^{-4}}{x^{-3}}\right)^{-3}(−x−3−2y4⋅2x−4y−4​)−3

Problem 2627

Simplify the following rational expression completely. p3+8p2−4\frac{p^{3}+8}{p^{2}-4}p2−4p3+8​

Problem 2628

(310)2\left(\frac{3}{10}\right)^{2}(103​)2

Problem 2629

Simplify the expression: 6−zz−6\frac{6-z}{z-6}z−66−z​.

Problem 2630

y2+y−5649−y2\frac{y^{2}+y-56}{49-y^{2}}49−y2y2+y−56​

Problem 2631

Problem 2632

Graph rectangle HIJKH I J KHIJK with vertices H(10,0),I(10,3),J(−6,3)H(10,0), I(10,3), J(-6,3)H(10,0),I(10,3),J(−6,3), and K(−6,0)K(-6,0)K(−6,0).What is the area of rectangle HIJK?

Problem 2633

Teris ans Dover spurs fecont the partal proucts in the area moces.52. □\square□ 5. * \qquad

Problem 2634

Problem 2635

Perform the indicated operation. 2xx−5−xx−2\frac{2 x}{x-5}-\frac{x}{x-2}x−52x​−x−2x​ 2xx−5−xx−2=\frac{2 x}{x-5}-\frac{x}{x-2}=x−52x​−x−2x​= □\square□ (Simplify your answer.)

Problem 2636

Perform the indicated operation. 94−5x−55x−4\frac{9}{4-5 x}-\frac{5}{5 x-4}4−5x9​−5x−45​ 94−5x−55x−4=\frac{9}{4-5 x}-\frac{5}{5 x-4}=4−5x9​−5x−45​= □\square□ (Simplify your answer.)

Problem 2637

73×3000+2.100\begin{array}{r} 73 \\ \times 30 \\ \hline 00 \\ +2.100 \\ \hline \end{array}73×3000+2.100​​2. 190

Problem 2638

Question 2 (1 point)Rewrite following fraction into lowest terms 5696\frac{56}{96}9656​ 12/2112 / 2112/21 28/48 7/12 8/12

Problem 2639

Perform the indicated operation. xx2−9−5x2−6x+9\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}x2−9x​−x2−6x+95​ xx2−9−5x2−6x+9=\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}=x2−9x​−x2−6x+95​= □\square□ (Simplify your answer.)

Problem 2640

Perform the indicated operation. 8a5a−5−a−7a−1\frac{8 a}{5 a-5}-\frac{a-7}{a-1}5a−58a​−a−1a−7​ 8a5a−5−a−7a−1=\frac{8 a}{5 a-5}-\frac{a-7}{a-1}=5a−58a​−a−1a−7​= □\square□ (Simplify your answer.)

Problem 2641

Perform the indicated operation. 47−x+x3x−21\frac{4}{7-x}+\frac{x}{3 x-21}7−x4​+3x−21x​ 47−x+x3x−21=\frac{4}{7-x}+\frac{x}{3 x-21}=7−x4​+3x−21x​= □\square□ (Simplify your answer.)

Problem 2642

The atmospheric pressure on the surface of Venus is 90 . atm. Calculate the atmospheric pressure in kPa . Be sure your answer has the right number of significant digits. kPa ×10

Problem 2643

Simplify. 1x+71x−5\frac{\frac{1}{x}+7}{\frac{1}{x}-5}x1​−5x1​+7​

Problem 2644

arváMetropolis Here's the neighborhood you created and a neighborhood in Metropolis.Metropolis requires a ratio of 7:27: 27:2 market-rate housing to affordable housing units.How does your neighborhood compare to Metropolis's requirement?Metropolis Neighborhood ±\sqrt{ \pm}±​ Share With Class

Problem 2645

(3) 团用自 00 \qquad 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? \qquad Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

Problem 2646

9. The volume and surface area of a square pyramid are given, respectively, by the formulas $V=\frac{1}{3} s^{2} h$ and $S A=\frac{1}{2}(4 s) L+s^{2}$ . Which expression represents the surface area-to-volume ratio for a square pyramid in simplest form?

Convert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

Which of the expressions below is equal to $3 x+9 y+15$ ? Select all that apply. A) $3(x+y+5)$ B) $3(3 x+3 y)+15$ C) $3(x+3 y+5)$ D) $3 x+3(3 y+5)$ You can earn 5 coins
A в c D Submit

Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial. $\begin{array}{l} \frac{14}{3 a^{4}}=\frac{}{6 a^{4} b^{3}} \\ \frac{14}{3 a^{4}}=\frac{\square}{6 a^{4} b^{3}} \end{array}$

$318 \div 7$

What is the surface area of the pyramid above? (A) $10 \mathrm{~m}^{2}$ (B) $40 \mathrm{~m}^{2}$ (C) $56 \mathrm{~m}^{2}$ (D) $80 \mathrm{~m}^{2}$

Question Watch Video Show Examples
Write two numbers that multiply to the value on top and add to the value on bottom.

$\frac{(x y)^{-1}\left(4 x y^{2}\right)^{3}}{8 x^{2} y^{8}}$

$\frac{(7 x+2)(x+6)}{(x+9)(7 x+2)}$

Holden Warren
Apply all relevant properties of exponents to simplify the following rational expression completely. $\frac{3 x y}{30 x^{2} y^{2}}$
CHECK ANSWER

$\frac{4 p q}{44 p^{2} q^{2}}$

aplify the following rational expression completely. $\frac{5 x+35}{6 x+42}$

Perform the indicated operation. $\frac{2}{x+2}+\frac{28}{7 x+14}$ $\frac{2}{x+2}+\frac{28}{7 x+14}=$ $\square$ (Simplify your answer.)

Simplify the following rational expression completely. $\frac{x^{2}+12 x+27}{x^{2}+5 x+6}$

Perform the indicated operation. Simplify if possible. $\frac{9}{x+8}-\frac{8 x}{x^{2}-64}$ $\frac{9}{x+8}-\frac{8 x}{x^{2}-64}=$ $\square$ (Simplify your answer.)

$\left(-\frac{-2 y^{4} \cdot 2 x^{-4} y^{-4}}{x^{-3}}\right)^{-3}$

Simplify the following rational expression completely. $\frac{p^{3}+8}{p^{2}-4}$

$\left(\frac{3}{10}\right)^{2}$

Simplify the expression: $\frac{6-z}{z-6}$ .

$\frac{y^{2}+y-56}{49-y^{2}}$

Graph rectangle $H I J K$ with vertices $H(10,0), I(10,3), J(-6,3)$ , and $K(-6,0)$ .
What is the area of rectangle HIJK?

Teris ans Dover spurs fecont the partal proucts in the area moces.
52. $\square$ 5. * $\qquad$

Perform the indicated operation. $\frac{2 x}{x-5}-\frac{x}{x-2}$ $\frac{2 x}{x-5}-\frac{x}{x-2}=$ $\square$ (Simplify your answer.)

Perform the indicated operation. $\frac{9}{4-5 x}-\frac{5}{5 x-4}$ $\frac{9}{4-5 x}-\frac{5}{5 x-4}=$ $\square$ (Simplify your answer.)

$\begin{array}{r} 73 \\ \times 30 \\ \hline 00 \\ +2.100 \\ \hline \end{array}$
2. 190

Question 2 (1 point)
Rewrite following fraction into lowest terms $\frac{56}{96}$ $12 / 21$ 28/48 7/12 8/12

Perform the indicated operation. $\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}$ $\frac{x}{x^{2}-9}-\frac{5}{x^{2}-6 x+9}=$ $\square$ (Simplify your answer.)

Perform the indicated operation. $\frac{8 a}{5 a-5}-\frac{a-7}{a-1}$ $\frac{8 a}{5 a-5}-\frac{a-7}{a-1}=$ $\square$ (Simplify your answer.)

Perform the indicated operation. $\frac{4}{7-x}+\frac{x}{3 x-21}$ $\frac{4}{7-x}+\frac{x}{3 x-21}=$ $\square$ (Simplify your answer.)

Simplify. $\frac{\frac{1}{x}+7}{\frac{1}{x}-5}$

arvá
Metropolis Here's the neighborhood you created and a neighborhood in Metropolis.
Metropolis requires a ratio of $7: 2$ market-rate housing to affordable housing units.
How does your neighborhood compare to Metropolis's requirement?
Metropolis Neighborhood $\sqrt{ \pm}$ Share With Class

(3) 团用自 00 $\qquad$ 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? $\qquad$ Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

How long will it take you to double your savings with a $7 \%$ annual compound interest rate?
Round up to nearest whole year. Hint: Use Rule of 72 Enter number of years only. $\square$ A

$\frac{1}{3}$
Decimal: $\square$
Percent: $\square$
Percent Ratio: $\square$

$36^{\frac{3}{2}}$

Iation question
3. Convert the given angles to degrees: $\frac{5 \pi}{3}$ (1 mark)

Find each quotient using long and synthetic division. Compare answers to check. LONG DIVISION SYNTHETIC DIVISION
7. (n-3n-1In-3)+(n+1) 42 n+1 n^3-3n^2-11n-3 n^3+1n^2 2n^2-11n n^2+1n
8. (2k+10k-40k+61k-24)+(k+8) -1 1 -3 -11 -3 -8 2 10 -40 61 -24
9. (w-4w-3w+13)+(w-4) 4 1 -4 -3 13

Do a double "T" account for each.
1. $\$ 15,000$ equipment purchased with cash

Find the greatest common factor (GCF) of the expressions: $48x$ , $64x^3$ , and $44x^2y$ .

$\text{Find the greatest common factor (GCF) of the numbers } 30a + b, \, 50b, \, \text{and } 80b.$

The expression $\sqrt[3]{2^{5}} \cdot \sqrt{2}$ is equivalent to
Answer $2^{\frac{5}{6}}$ $4^{\frac{13}{6}}$ $2^{\frac{13}{6}}$ $4^{\frac{5}{6}}$

Find the greatest common factor (GCF) of the expressions: $54x^3$ , $63x$ , and $54yx$ .

Find a polynomial for the perimeter of the figure to the right. The figure is not drawn to scale.
The perimeter is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression. Do not factor.)

Instrucción X: Calcula el resultado de las siguientes expresiones mediante la multiplicacic algebraica. a) $(2 x+3)(3 x+5)=$ b) $(x+4)(4 x+7)=$ c) $(5 x+6)(2 x+4)=$

$-\frac{\sqrt{74-3}}{9-56}-2 \times 3$ .

Subtract. $-7.8-9.4=$

Multiply. $\left(2 x^{2}+6\right)^{2}$ $\left(2 x^{2}+6\right)^{2}=$ $\square$ (Do not factor.)

11. $\frac{1}{2} \div 4=$

Use a calculator to find the value to the nearest ten-thousandth. $\begin{array}{l} e^{-3.46} \\ e^{-3.46}= \end{array}$ $\square$ (Round to four decimal places as needed.)

Calculate the root-mean-square speed of the air pollutant gas $\mathrm{SO}_{2}$ at $25^{\circ} \mathrm{C}$ $\square$ $\mathrm{m} / \mathrm{s}$

Perform long division on the expression:
$\frac{x^{4} + 5x^{2} + 8}{x - 1}$