Browse Algebra problems Studdy Solved!

Problem 29501

Solve the inequality: $|u| + 29 \leq 15$ . Are the solutions all real numbers or none?

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Problem 29502

Identify a function that cannot represent $f(x)$ or $g(x)$ if $(f \circ g)(x)=\frac{4}{x^{2}}+2.$

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Problem 29503

Solve the inequality $3|w| \leq 30$ . Choose "All reals" if true, or "No solution" if false.

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Problem 29504

Solve the inequality $|x| + 12 > 25$ . Choose "All reals" if true, or "No solution" if false.

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Problem 29505

Solve the inequality $|w| + 14 < 19$ . Choose "All reals" or "No solution" if applicable.

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Problem 29506

Which function pairs for $f(x)$ and $g(x)$ do not satisfy $(f \circ g)(x)=\frac{4}{x^{2}}+2?$

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Problem 29507

Solve the inequality $2|u| \geq 20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

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Problem 29508

Solve the inequality $|2x + 12| > 8$ and graph the solution on a number line.

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Problem 29509

A delivery person drives $f(x)=x^{2}+3x$ miles in $x$ hours. For $y$ miles, gas used is $g(y)=\frac{y}{18}$ . In 9 hours, how many gallons needed?

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Problem 29510

Graph the solution of the inequality $|3w - 3| < 9$ on a number line.

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Problem 29511

Solve the compound inequality: $3 \leq \frac{1}{4} x + 4 < 5$ .

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Problem 29512

Choose the correct solution for each inequality and provide the answer if applicable. (a) $5(3-u)+5u>17$ (b) $-2(v+6)+28 \leq 4(3-v)$

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Problem 29513

Solve the system by the elimination method. $\begin{array}{l} 6 x=3 y-2 \\ 5 x+1=7 y \end{array}$

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Problem 29514

Simplify $\sqrt{28 x^{10} y^{11}}$ to the form $a \sqrt{b}$ . $\sqrt{28 x^{10} y^{11}}=$

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Problem 29515

Exercise 3.9
4. A merchant made a profit of $17 \%$ by selling goods for Birr 175.50 . How much was the original price of the goods?
2. A trader bought a TV set for Birr 2000 and sold it at a loss of $5.5 \%$ . What was the selling price?
3. If a company's profit was Birr 1.4 billion in 2010 and Birr 1.8 billion in 2011. What percent of the 2010 profit the company obtained in 2011?
4. A Shopkeeper M sells some goods to N and makes a profit of $15 \%$ . N resells to P at a loss of $5 \%$ . If P pays Birr 13.11, how much did M pay for the goods? S. A profit of $24 \%$ was made when a book was sold for Birr 34.10 ; find the selling price that would have given a profit of $28 \%$ .
6. $\sqrt{ }$ A shoe factory produces 800 pairs of shoes a day. Due to material shortage, the factory produced only 240 pairs of shoes a day. Calculate the percent decrease in shoe production.

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Problem 29516

3 8 points
In units of $h R$ , what is the amount of energy associated with the transition from $n=4$ to $n=1$ in the hydrogen emission spectrum? ( h is Planck's constant and $R=3.3 \times 10^{15} \mathrm{~Hz}$ in the Rydberg equation, although you don't need to use these numbers in this problem.) $\frac{1}{16} h R$ $\frac{3}{4} h R$ $\frac{1}{4} h R$ $\frac{15}{16} h R$ 4 8 points

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Problem 29517

Straight-Line Depreciation Equipment acquired at the beginning of the year at a cost of $\$ 470,000$ has an estimated residual value of $\$ 62,000$ and an estimated useful life of five years. Determine the following. a. The depreciable cost b. The straight-line rate $\square$ $\square$ \% c. The annual straight-line depreciation $\square$

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Problem 29518

Question 4 $0 / 1$ pt $3 \rightleftarrows 19$ Details Next
How much money is in an account after 5 years if $\$ 3000$ is invested at $2 \%$ interest compounded: A) monthly? $\square$ B) weekly? $\square$ C) continuously? $\square$
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Problem 29519

Revision of Depreciation Equipment with a cost of $\$ 304,000$ has an estimated residual value of $\$ 41,600$ , has an estimated useful life of 16 years, and is depreciated by the straight-line method. a. Determine the amount of the annual depreciation. \\square $b. Determine the book value at the end of the tenth year of use.$ \square $c. Assuming that at the start of the eleventh year the remaining life is estimated to be eight years and the residual value is estimated to be$ \ $16,800$ , determine the depreciation expense for each of the remaining eight years. 5 $\square$

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Problem 29520

$7 / 32$ A line is perpendicular to $\mathrm{y}=2 \mathrm{x}-7$ . What is the slope of this line? $-1 / 2$ $-2$ 2 $1 / 2$

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Problem 29521

Dimethyl ether, a useful organic solvent, is prepared in two steps. In the first step, carbon dioxide and hydrogen react to form 'methanol and water: $\mathrm{CO}_{2}(g)+3 \mathrm{H}_{2}(g) \rightarrow \mathrm{CH}_{3} \mathrm{OH}(I)+\mathrm{H}_{2} \mathrm{O}(I) \quad \Delta H=-131 . \mathrm{kJ}$
In the second step, methanol reacts to form dimethyl ether and water: $2 \mathrm{CH}_{3} \mathrm{OH}(I) \rightarrow \mathrm{CH}_{3} \mathrm{OCH}_{3}(g)+\mathrm{H}_{2} \mathrm{O}(I) \quad \Delta H=8 . \mathrm{kJ}$
Calculate the net change in enthalpy for the formation of one mole of dimethyl ether from carbon dioxide and hydrogen from these reactions. Round your answer to the nearest kJ. $\square$ kJ

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Problem 29522

Capital Expenditure and Depreciation; Parital-Year Depreciation Willow Creek Company purchased and installed carpet in its new general offices on April 30 for a total cost of $\$ 18,000$ . The carpet is estimated to have a 15 -year useful life and no residual value. a. Prepare the joumal entry necessary for recording the purchase of the new carpet, If an amount box does not require an entry, leave it blank.
Apr. 30 Carpet $\checkmark$ $\square$ $\square$ Cash $\square$ $\square$
Fuoluck
Phack My Work calculations.
Dec. 31 $\square$ $\square$ $\square$ Accumulated Depreciation-Carpet $\square$ $\square$

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Problem 29523

Question Translate and solve: The difference of $f$ and $\frac{1}{3}$ is $\frac{2}{3}$ .

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Problem 29524

Save \& Exit Certify Lesson: Chapter 7 Review
Question 14 of 18, Step 1 of 1 21/27 Correc
Solve the following quadratic equation using the quadratic formula. $-x^{2}=8$
Answer

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Problem 29525

Solve for all values of $x$ : $\frac{1}{x-1}-2=\frac{x}{x-1}$

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Problem 29526

Using algebraic methods, find the solution sets for the following. Give your solutions in interval notation. (a) $6 x^{2} \geq 24 x-18$ (b) $\frac{3}{x+1}<15$

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Problem 29527

Sale of Equipment
Equipment was acquired at the beginning of the year at a cost of $\$ 537,500$ . The equipment was depreciated using the straight-line method based on an estimated useful life of 9 years and an estimated residual value of $\$ 40,995$ . a. What was the depreciation for the first year? Round your answer to the nearest cent. \\square $b. Using the rounded amount from Part a in your computation, determine the gain or loss on the sale of the equipment, assuming it was sold at the end of year eight for$ \ $88,967$ . Round your answer to the nearest cent. Enter your answer as a positive amount. $\$$ $\square$ Loss Fooduack Chack My Wark c. Journalize the entry to record the sale. If an amount box does not require an entry, leave it blank. Round your answers to the nearest cent.
Cash $\square$ Accumulated Depreciation-Equipment $\sim$ $\square$ $\square$ Loss on Sale of Equipment $\square$ $\square$ Equipment $\square$ $\square$ $\square$ $\square$

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Problem 29528

8. Which of the following equations is perpendicular to the line $2 x+3 y=6$ ? a. $y=-\frac{1}{2} x+4$ c. $y=-\frac{3}{2} x+1$ b. $y=\frac{3}{2} x-1$ d. $y=2 x+3$

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Problem 29529

Factorise $3 x^{3}-3 x^{2}-(1-x)$

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Problem 29530

25. What is the rate of change for the furction $f(x)=2(4)^{*}$ over the interval $[1,3]$ ? a) 32 b) 128 c) 60 d) 120

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Problem 29531

1. Simplify the expression ( 5 points): $\quad[4(s-4)-9]+[G(s-1)+6]$

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Problem 29532

Question 10 10 pts
The complex roots of the graph above are $x \pm y i$ .
What is the value of $x$ ? $\square$ 2 $\square$ What is the value of $y$ ?

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Problem 29533

Give the slope between the points $(-4,-2) \quad(5,-13)$ OK

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Problem 29534

37 What is the coefficient of the $2^{\text {nd }}$ term in the expansion of $(4 x+y)^{4}$ ? (A) 256 (B) 384 (C) 512 (D) 768

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Problem 29535

A point charge of $2 \mu \mathrm{C}$ is placed at the origin. There is an external uniform field $\mathbf{E}=600 \mathrm{iN} / \mathrm{C}$ . What is the net force on a $6 \mu \mathrm{C}$ charge placed at $(3 \mathrm{~m}, 3 \mathrm{~m})$ ? $7.843 \cdot 10^{-3} \mathrm{j}+4.243 \cdot 10^{-3} \mathrm{jN}$
Note: You can earn partial credit on this problem. Show: $\square$ Correct Answers

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Problem 29536

Solve for all values of $x$ : $-1-\frac{x}{x-1}=-\frac{1}{x-1}$
Answer Attempt 1 out of 2

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Problem 29537

What is the axis of symmetry of the parabola $y=5 x^{2}+3 ?$ $\square$
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Problem 29538

What is the value of $y$ ? $\begin{array}{l} 9 y=27 \\ \frac{9 y}{9}=\frac{27}{9} \end{array}$ $y=$

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Problem 29539

Question For the functions $f(x)=2 x+5$ and $g(x)=5 x^{2}$ , find $(f \circ g)(x)$ .
Provide your answer below:

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Problem 29540

Question Determine the domain and range of the following parabola. $f(x)=2(x-2)^{2}+1$
Select the correct answer below: Domain is all real numbers. Range is $f(x) \leq 2$ Domain is all real numbers. Range is $f(x) \geq 1$ Domain is all real numbers. Range is $f(x) \geq 2$ Domain is all real numbers. Range is $f(x) \leq 1$

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Problem 29541

Question Find the $y$ -intercept of the following function. $f(x)=12 x^{2}-4 x-21$
Give your answer as an ordered pair.

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Problem 29542

Question Find the $x$ -intercept(s) of the following function. $f(x)=12 x^{2}-4 x-21$
Select all correct answers.

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Problem 29543

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is $\qquad$
Single-digit integer (-9 to 9)

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Problem 29544

Question Based on the degree of the polynomial $f(x)$ given below, what is the maximum number of turning points the graph of $f(x)$ can have? $f(x)=\left(x^{2}-7\right)\left(x^{2}-6\right)\left(x^{2}+4\right)$

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Problem 29545

एउटा मोबाइलको क्रय मूल्य रु. 21000 र अङ्कित मूल्य क्रय मूल्यभन्दा $30 \%$ ले बढी छ । The cost price of a mobile is Rs. 21000 and the marked price is $30 \%$ above the cost price. (a) नाफा प्रतिशत निकाल्ने सूत्र लेखनुहोस् । Write the formula to find profit percent. [1K] $\text { [Ans: Profit\% }=\frac{\text { Profit }}{C P} \times 100 \% \text { ] }$ (b) अङुकित मूल्य पत्ता लगाउनुहोस् । Find the marked price. [2U] [Ans: Rs. 27300] (c) उक्त मोबाइल रु. 24024 मा बेचिएको भु छुट रकम पत्ता लगाउनुहोस् I If mobile phone was sold for Rs. 24024, find the discount amount. [1A] [Ans: Rs. 3276]

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Problem 29546

Question
Consider the graph of the function $f(x)=\frac{x^{3}-6 x^{2}+8 x}{x^{2}-2 x-8}$ . Which is a removable discontinuity for the graph? Select all that apply.

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Problem 29547

Question Wat
Factor the expression completely. $x^{4}+x^{2}-72$
Answer Attempt I out of 2

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Problem 29548

- Higher Level
Ilowing simultaneous equations for $x, y, w \in \mathbb{Z}$ : $\begin{aligned} x+2 y & =143 \\ y+3 w & =-74 \\ 4 x+5 w & =4 \end{aligned}$

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Problem 29549

9. (a) Factorise $5 a^{2}-3 a-14$ by using cross method. (2 mark (b) Hence, factorise $5(x-2)^{2}-3(x-2)-14$ (a) $5 a^{2}-3 a-14$ $=(5 a+7)(a-2)$ $+(1 \mathrm{M}$ for showing cross method) (b) Let $a$ be $(x-2)$ (4 marks) (1M) $\begin{aligned} \therefore & 5(x-2)^{2}-3(x-2)-14 \\ & =[5(x-2)+7][(x-2)-2)] \\ & =[5 x-10+7](x-4) \\ & =(5 x-3)(x-4) \end{aligned}$
10. Determine whether $\frac{3 x-1}{4}-\frac{2 x+5}{3}=\frac{x-23}{12}$ is an identity. L. H.S. $=\frac{3 x-1}{4}-\frac{2 x+5}{3}$ (4 marks) $\begin{array}{l} =\frac{3(3 x-1)}{12}-\frac{4(2 x+5)}{12} \\ =\frac{9 x-3-8 x-20}{12} \\ =\frac{x-23}{12} \\ =\text { R. H.S. } \end{array}$ $\therefore$ It is an identity. (1 ft)
11. If $5 x^{2}-(A+B) x+B \equiv(C x+3)(x-4)$ , where $A, B$ and $C$ are constants, find $A, B$ and $C$ . ( 5 marks) $\begin{array}{l} \text { L.H.S. }=5 x^{2}-(A+B) x+B \\ \text { R.H.S. }=(C x+3)(x-4) \\ =C x^{2}-4 C x+3 x-12 \\ =C x^{2}+(3-4 C) x-12 \\ \therefore 5 x^{2}-(A+B) x+B \equiv C x^{2}+(3-4 C) x-12 \end{array}$
Comparing the like terms on both sides, we have $\begin{array}{c} B=-12, \quad C=5 \\ -(A+B)=3-4 C \\ -A-B=3-4 C \\ -A-(-12)=3-4(5) \\ A=29 \end{array}$ (2A for all correct, 1 A for 2 correct)
12. Simplify $\frac{4 m+6 m^{2}}{15 n} \div \frac{-2 n-3 m n}{(5 m+2 n)(5 m-2 n)} \times \frac{6 m n}{8 n-20 m}$ . (5 marks) $\begin{array}{l} \frac{4 m+6 m^{2}}{15 n} \div \frac{-2 n-3 m n}{(5 m+2 n)(5 m-2 n)} \times \frac{6 m n}{8 n-20 m} \\ =\frac{4 m+6 m^{2}}{15 n} \times \frac{(5 m+2 n)(5 m-2 n)}{-2 n-3 m n} \times \frac{6 m n}{8 n-20 m} \\ =\frac{2 m(2+3 m)}{15 n} \times \frac{(5 m+2 n)(5 m-2 n)}{-n(2+3 m)} \times \frac{6 m n}{4(2 n-5 m)} \\ =\frac{m^{2}(5 m+2 n)}{5 n} \end{array}$

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Problem 29550

The graph of linear function $f$ passes through the point $(1,-9)$ and has a slope of -3 .
What is the zero of $f$ ?
F 2 G 4 H -6 J -2

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Problem 29551

Question 9
Solve the proportion. If necessary, round to the nearest hundredth. $\begin{array}{l} \frac{18}{26}=\frac{3}{g+4} \\ g= \end{array}$

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Problem 29552

Question Watch $V$
Solve the following quadratic equation for all values of $x$ in simplest form. $(x-6)^{2}-23=-12$
Answer Attempt 1 out of 2

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Problem 29553

Question Watch Video Show Examples
If using the method of completing the square to solve the quadratic equation $x^{2}+8 x+37=0$ , which number would have to be added to "complete the square"? Answer Attempt 1 out of 2

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Problem 29554

7 AM Sat Dec 14 < <> S Savvas EasyBridge AA MATHEMATICS, GR 8 (FULL)-1(A)-24-25 3.4 MathXL (5 problems) savvasrealize.com S Savvas Realize DUE Savvas Realize Nov 18-11:59 pm Late A car moving at a constant speed passed a timing device at t=0. After 7 seconds, the car has traveled 588 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device. The linear function rule is d = ☐ -

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Problem 29555

Find the range. Write in interval notation. $g(z)=\sqrt{4 z+6}-1$
Type to search symbols

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Problem 29556

57. $-5>p-\frac{1}{5}$

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Problem 29557

$\text{جد قيم } \, x \, \text{التي تجعل الزاوية بين المتجهين منفرجة}$

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Problem 29558

1. NO CALCULATOR
This expression is used to calculate the taxes on Marta's monthly earnings, where $c$ represents the commission on her sales. Which expression is equivalent? $\frac{1}{3}(1650+0.15 c)$
$1,650.33+0.48 c$ $550+0.15 c$ $550+0.05 c$ $4,950+0.45 c$

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Problem 29559

Solve the equation. Give an exact solution. $\log (7 x+4)=\log 5$
Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is $\varnothing$ .

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Problem 29560

(20 علامة)

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Problem 29561

( 20 علامة) $\sum_{r=1}^{n} 2 r-1=n^{2}$
السؤال الثالث:
برهن باستخدام الاستقراء الرياضي أن:

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Problem 29562

على يغة مستطيل الشكل يزيد طولها عرضها به قدار 4000, ومساحتها 48000m / يريد مزارها أماطتها بسياج أجد طول السياج 2

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Problem 29563

اوجد معكوس الاقتران النتالي :

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Problem 29564

A proton (rest mass $1.67 \times 10^{-27} \mathrm{~kg}$ ) has total energy that is 3.4 times its rest energy. What is a) the kinetic energy of the proton?
b) the magnitude of the momentum of the proton? $\square$ $\times 10^{-18} \mathrm{~kg} \cdot \mathrm{~m} / \mathrm{s}$ . c) the speed of the proton? $\square$ c.

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Problem 29565

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. $g(x)=\frac{1-x^{4}}{2}$
Determine whether $\mathrm{g}(\mathrm{x})$ is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is a polynomial of degree $\square$ . (Type an integer or a fraction.) B. It is not a polynomial because the variable $x$ is raised to the $\square$ power, which is not a nonnegative integer. (Type an integer or a fraction.) C. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree.

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Problem 29566

Is $y-4=3(x+1)$ an equation of a line through $(-2,1)$ ? Explain.

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Problem 29567

ـ بين لماذا تكون المصفوفة القابلة للإنعكاس (Invertible) يكون لها محدد غير مفري.

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Problem 29568

$x^{2}-4 x+3+2 \ln x=0$

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Problem 29569

$\approx 2 \mathrm{cos}$ as $x^{2}-4 x+3+2 \ln x=0 .$

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Problem 29570

(8) A 2.0-ft-long nylon string with a thickness of $1 / 32$ inch produces a frequency $f$ when plucked. What frequency would a 1.6 - ft -long nylon string that has a thickness of $3 / 32$ inch produce (a) if put under an equal tension? (b) if put under only one-third of the original tension?

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Problem 29571

REQUIRED
14. Regina charges $\mathbf{c}$ dollars per hour to babysit. If she increases her rate by $15 \%$ , which expression represents her new rate, in dollars per hour? $\mathrm{c}+0.15$ c+15 $c+0.15 c$ $c+15 c$
Show Your Work

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Problem 29572

Question 4 of 10 Which choice is equivalent to the product below? $\sqrt{8} \cdot \sqrt{5}$ A. $10 \sqrt{2}$ B. $\sqrt{13}$ C. $2 \sqrt{10}$ D. $4 \sqrt{10}$

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Problem 29573

Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. $\frac{\sqrt{12}}{\sqrt{6}}$ A. $\frac{\sqrt{6}}{2}$ B. $\frac{2}{\sqrt{3}}$ C. $\frac{\sqrt{4}}{\sqrt{2}}$ D. 2 E. $\frac{\sqrt{5}}{\sqrt{2}}$ F. $\sqrt{2}$

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Problem 29574

Question 2 of 10 Write $\sqrt{a^{8} a^{3}}$ as an algebraic expression using a rational exponent. A. $a^{12}$ B. $a^{11 / 3}$ c. $a^{2 / 24}$ D. $a^{11 / 2}$

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Problem 29575

Question 9 of 10 What is the value of the expression below? $\left(81^{2}\right)^{18}$ A. 27 B. 3 C. 9 D. 1

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Problem 29576

13.
Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

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Problem 29577

Below is the graph of $y=e^{x}$ . Transform it to make the graph of $y=-e^{x}-6$ . Give the domain and range of $y=-e^{x}-6$ using interval notation.
Domain: $\square$
Range: $\square$ $\infty$ $-\infty$

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Problem 29578

Express the following equation in logarithmic form. $15^{-2}=\frac{1}{225}$
Answer $\log _{\frac{1}{23}} 15=-2$ $\log _{15}-2=\frac{1}{225}$ $\log _{-2} \frac{1}{225}=15$ $\log _{15} \frac{1}{225}=-2$

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Problem 29579

Identify the base and the exponent in each expression. See Example 1. Look Alikes . . .
13. a. $4^{3}$ b. $-4^{3}$ c. $(-4)^{3}$

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Problem 29580

Solve for $k$ . $36 k^{2}-13 k+1=0$
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $k=$ $\square$

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Problem 29581

$-30.000+\sum_{t=1}^{6} \frac{8.000}{(1+0,12)^{t}}$

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Problem 29582

11. Miguel's paycheck is $\$ 871.25$ . The paycheck includes 36.5 hours of work and a $\$ 50$ bonus. How much does Miguel earn for each hour of work, not including the bonus?

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Problem 29583

B) Graph the inequality. $3 x-2 y<18$

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Problem 29584

Solve the compound inequality: $4y + 3 \geq 19$ and $2y + 2 \geq -4$ . Provide the solution in interval notation.

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Problem 29585

Solve the inequality: $-4x \geq 8$ or $2x - 2 > 8$ . Provide the solution in interval notation or as $\varnothing$ .

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Problem 29586

Solve: $5|x-8|+6<41$ . Choose "All reals" if true, "No solution" if false.

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Problem 29587

Find the horizontal asymptotes for the function $f(x)=x^{2}+5 x^{4}+3 x^{3}$ .

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Problem 29588

Solve the inequality: $|4w - 2| - 5 \leq 9$ . Indicate if solutions are "All reals" or "No solution".

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Problem 29589

Solve and justify the first step for: 1. $x + 4 + 3x = 72$ ; 2. $x + 3 + x - 8 + x = 55$ .

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Problem 29590

Solve $x + 3 + x - 8 + x = 55$ . What property justifies your first step?

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Problem 29591

Solve $x+3+x-8+x=55$ and $\frac{1}{2} x+10=\frac{1}{4} x+54$ . Explain your first step and its justification.

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Problem 29592

Solve $\frac{1}{2} x+10=\frac{1}{4} x+54$ . Explain your first step and the property used.

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Problem 29593

Solve $\frac{x+x+2}{4}=189.5$ . Explain the property used for your first step and your reasoning.

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Problem 29594

Solve the equation $\frac{1}{4} x + 18 = x$ and explain the property used for your first step.

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Problem 29595

Thu is 5 years older than Tuan. Their ages add up to 51. Find their ages: $T + (T + 5) = 51$ .

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Problem 29596

Tomás thinks of a number. If he triples it and subtracts 13, he gets 305. What is the number? Solve: $3x - 13 = 305$ .

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Problem 29597

Find two consecutive numbers whose sum is 123. What are the numbers?

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Problem 29598

Find two consecutive even numbers that add up to 246.

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Problem 29599

Find two consecutive even numbers that add up to 246. What are the numbers?

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Problem 29600

Alysha solved $2 x-3-8 x=14+2 x-1$ . Find her mistake and solve the equation correctly. What is $x$ ?

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Algebra

Problem 29501

Solve the inequality: ∣u∣+29≤15|u| + 29 \leq 15∣u∣+29≤15. Are the solutions all real numbers or none?

Problem 29502

Identify a function that cannot represent f(x)f(x)f(x) or g(x)g(x)g(x) if (f∘g)(x)=4x2+2.(f \circ g)(x)=\frac{4}{x^{2}}+2.(f∘g)(x)=x24​+2.

Problem 29503

Solve the inequality 3∣w∣≤303|w| \leq 303∣w∣≤30. Choose "All reals" if true, or "No solution" if false.

Problem 29504

Solve the inequality ∣x∣+12>25|x| + 12 > 25∣x∣+12>25. Choose "All reals" if true, or "No solution" if false.

Problem 29505

Solve the inequality ∣w∣+14<19|w| + 14 < 19∣w∣+14<19. Choose "All reals" or "No solution" if applicable.

Problem 29506

Which function pairs for f(x)f(x)f(x) and g(x)g(x)g(x) do not satisfy (f∘g)(x)=4x2+2?(f \circ g)(x)=\frac{4}{x^{2}}+2?(f∘g)(x)=x24​+2?

Problem 29507

Solve the inequality 2∣u∣≥202|u| \geq 202∣u∣≥20. Choose "All reals" if all numbers work, or "No solution" if none do.

Problem 29508

Solve the inequality ∣2x+12∣>8|2x + 12| > 8∣2x+12∣>8 and graph the solution on a number line.

Problem 29509

A delivery person drives f(x)=x2+3xf(x)=x^{2}+3xf(x)=x2+3x miles in xxx hours. For yyy miles, gas used is g(y)=y18g(y)=\frac{y}{18}g(y)=18y​. In 9 hours, how many gallons needed?

Problem 29510

Graph the solution of the inequality ∣3w−3∣<9|3w - 3| < 9∣3w−3∣<9 on a number line.

Problem 29511

Solve the compound inequality: 3≤14x+4<53 \leq \frac{1}{4} x + 4 < 53≤41​x+4<5.

Problem 29512

Choose the correct solution for each inequality and provide the answer if applicable. (a) 5(3−u)+5u>175(3-u)+5u>175(3−u)+5u>17 (b) −2(v+6)+28≤4(3−v)-2(v+6)+28 \leq 4(3-v)−2(v+6)+28≤4(3−v)

Problem 29513

Solve the system by the elimination method. 6x=3y−25x+1=7y\begin{array}{l} 6 x=3 y-2 \\ 5 x+1=7 y \end{array}6x=3y−25x+1=7y​

Problem 29514

Simplify 28x10y11\sqrt{28 x^{10} y^{11}}28x10y11​ to the form aba \sqrt{b}ab​. 28x10y11=\sqrt{28 x^{10} y^{11}}=28x10y11​=

Problem 29515

Problem 29516

Problem 29517

Problem 29518

Question 4 0/10 / 10/1 pt 3⇄193 \rightleftarrows 193⇄19 Details NextHow much money is in an account after 5 years if $3000\$ 3000$3000 is invested at 2%2 \%2% interest compounded: A) monthly? □\square□ B) weekly? □\square□ C) continuously? □\square□Submit Question

Problem 29519

Problem 29520

7/327 / 327/32 A line is perpendicular to y=2x−7\mathrm{y}=2 \mathrm{x}-7y=2x−7. What is the slope of this line? −1/2-1 / 2−1/2 −2-2−2 2 1/21 / 21/2

Problem 29521

Problem 29522

Problem 29523

Question Translate and solve: The difference of fff and 13\frac{1}{3}31​ is 23\frac{2}{3}32​.

Problem 29524

Save \& Exit Certify Lesson: Chapter 7 ReviewQuestion 14 of 18, Step 1 of 1 21/27 CorrecSolve the following quadratic equation using the quadratic formula. −x2=8-x^{2}=8−x2=8Answer

Problem 29525

Solve for all values of xxx : 1x−1−2=xx−1\frac{1}{x-1}-2=\frac{x}{x-1}x−11​−2=x−1x​

Problem 29526

Using algebraic methods, find the solution sets for the following. Give your solutions in interval notation. (a) 6x2≥24x−186 x^{2} \geq 24 x-186x2≥24x−18 (b) 3x+1<15\frac{3}{x+1}<15x+13​<15

Problem 29527

Problem 29528

8. Which of the following equations is perpendicular to the line 2x+3y=62 x+3 y=62x+3y=6 ? a. y=−12x+4y=-\frac{1}{2} x+4y=−21​x+4 c. y=−32x+1y=-\frac{3}{2} x+1y=−23​x+1 b. y=32x−1y=\frac{3}{2} x-1y=23​x−1 d. y=2x+3y=2 x+3y=2x+3

Problem 29529

Factorise 3x3−3x2−(1−x)3 x^{3}-3 x^{2}-(1-x)3x3−3x2−(1−x)

Problem 29530

25. What is the rate of change for the furction f(x)=2(4)∗f(x)=2(4)^{*}f(x)=2(4)∗ over the interval [1,3][1,3][1,3] ? a) 32 b) 128 c) 60 d) 120

Problem 29531

1. Simplify the expression ( 5 points): [4(s−4)−9]+[G(s−1)+6]\quad[4(s-4)-9]+[G(s-1)+6][4(s−4)−9]+[G(s−1)+6]

Problem 29532

Question 10 10 ptsThe complex roots of the graph above are x±yix \pm y ix±yi.What is the value of xxx ? □\square□ 2 □\square□ What is the value of yyy ?

Problem 29533

Give the slope between the points (−4,−2)(5,−13)(-4,-2) \quad(5,-13)(−4,−2)(5,−13) OK

Problem 29534

37 What is the coefficient of the 2nd 2^{\text {nd }}2nd term in the expansion of (4x+y)4(4 x+y)^{4}(4x+y)4 ? (A) 256 (B) 384 (C) 512 (D) 768

Problem 29535

Problem 29536

Solve for all values of xxx : −1−xx−1=−1x−1-1-\frac{x}{x-1}=-\frac{1}{x-1}−1−x−1x​=−x−11​Answer Attempt 1 out of 2

Problem 29537

What is the axis of symmetry of the parabola y=5x2+3?y=5 x^{2}+3 ?y=5x2+3? □\square□Save answer

Problem 29538

What is the value of yyy ? 9y=279y9=279\begin{array}{l} 9 y=27 \\ \frac{9 y}{9}=\frac{27}{9} \end{array}9y=2799y​=927​​ y=y=y=

Problem 29539

Question For the functions f(x)=2x+5f(x)=2 x+5f(x)=2x+5 and g(x)=5x2g(x)=5 x^{2}g(x)=5x2, find (f∘g)(x)(f \circ g)(x)(f∘g)(x).Provide your answer below:

Problem 29540

Problem 29541

Question Find the yyy-intercept of the following function. f(x)=12x2−4x−21f(x)=12 x^{2}-4 x-21f(x)=12x2−4x−21Give your answer as an ordered pair.

Problem 29542

Question Find the xxx-intercept(s) of the following function. f(x)=12x2−4x−21f(x)=12 x^{2}-4 x-21f(x)=12x2−4x−21Select all correct answers.

Problem 29543

The smallest natural number which is the solution of the inequality 1≤∣x−1∣≤31 \leq|x-1| \leq 31≤∣x−1∣≤3 is \qquadSingle-digit integer (-9 to 9)

Problem 29544

Question Based on the degree of the polynomial f(x)f(x)f(x) given below, what is the maximum number of turning points the graph of f(x)f(x)f(x) can have? f(x)=(x2−7)(x2−6)(x2+4)f(x)=\left(x^{2}-7\right)\left(x^{2}-6\right)\left(x^{2}+4\right)f(x)=(x2−7)(x2−6)(x2+4)

Solve the inequality: $|u| + 29 \leq 15$ . Are the solutions all real numbers or none?

Identify a function that cannot represent $f(x)$ or $g(x)$ if $(f \circ g)(x)=\frac{4}{x^{2}}+2.$

Solve the inequality $3|w| \leq 30$ . Choose "All reals" if true, or "No solution" if false.

Solve the inequality $|x| + 12 > 25$ . Choose "All reals" if true, or "No solution" if false.

Solve the inequality $|w| + 14 < 19$ . Choose "All reals" or "No solution" if applicable.

Which function pairs for $f(x)$ and $g(x)$ do not satisfy $(f \circ g)(x)=\frac{4}{x^{2}}+2?$

Solve the inequality $2|u| \geq 20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

Solve the inequality $|2x + 12| > 8$ and graph the solution on a number line.

A delivery person drives $f(x)=x^{2}+3x$ miles in $x$ hours. For $y$ miles, gas used is $g(y)=\frac{y}{18}$ . In 9 hours, how many gallons needed?

Graph the solution of the inequality $|3w - 3| < 9$ on a number line.

Solve the compound inequality: $3 \leq \frac{1}{4} x + 4 < 5$ .

Choose the correct solution for each inequality and provide the answer if applicable. (a) $5(3-u)+5u>17$ (b) $-2(v+6)+28 \leq 4(3-v)$

Solve the system by the elimination method. $\begin{array}{l} 6 x=3 y-2 \\ 5 x+1=7 y \end{array}$

Simplify $\sqrt{28 x^{10} y^{11}}$ to the form $a \sqrt{b}$ . $\sqrt{28 x^{10} y^{11}}=$

Question 4 $0 / 1$ pt $3 \rightleftarrows 19$ Details Next
How much money is in an account after 5 years if $\$ 3000$ is invested at $2 \%$ interest compounded: A) monthly? $\square$ B) weekly? $\square$ C) continuously? $\square$
Submit Question

$7 / 32$ A line is perpendicular to $\mathrm{y}=2 \mathrm{x}-7$ . What is the slope of this line? $-1 / 2$ $-2$ 2 $1 / 2$

Question Translate and solve: The difference of $f$ and $\frac{1}{3}$ is $\frac{2}{3}$ .

Save \& Exit Certify Lesson: Chapter 7 Review
Question 14 of 18, Step 1 of 1 21/27 Correc
Solve the following quadratic equation using the quadratic formula. $-x^{2}=8$
Answer

Solve for all values of $x$ : $\frac{1}{x-1}-2=\frac{x}{x-1}$

Using algebraic methods, find the solution sets for the following. Give your solutions in interval notation. (a) $6 x^{2} \geq 24 x-18$ (b) $\frac{3}{x+1}<15$

8. Which of the following equations is perpendicular to the line $2 x+3 y=6$ ? a. $y=-\frac{1}{2} x+4$ c. $y=-\frac{3}{2} x+1$ b. $y=\frac{3}{2} x-1$ d. $y=2 x+3$

Factorise $3 x^{3}-3 x^{2}-(1-x)$

25. What is the rate of change for the furction $f(x)=2(4)^{*}$ over the interval $[1,3]$ ? a) 32 b) 128 c) 60 d) 120

1. Simplify the expression ( 5 points): $\quad[4(s-4)-9]+[G(s-1)+6]$

Question 10 10 pts
The complex roots of the graph above are $x \pm y i$ .
What is the value of $x$ ? $\square$ 2 $\square$ What is the value of $y$ ?

Give the slope between the points $(-4,-2) \quad(5,-13)$ OK

37 What is the coefficient of the $2^{\text {nd }}$ term in the expansion of $(4 x+y)^{4}$ ? (A) 256 (B) 384 (C) 512 (D) 768

Solve for all values of $x$ : $-1-\frac{x}{x-1}=-\frac{1}{x-1}$
Answer Attempt 1 out of 2

What is the axis of symmetry of the parabola $y=5 x^{2}+3 ?$ $\square$
Save answer

What is the value of $y$ ? $\begin{array}{l} 9 y=27 \\ \frac{9 y}{9}=\frac{27}{9} \end{array}$ $y=$

Question For the functions $f(x)=2 x+5$ and $g(x)=5 x^{2}$ , find $(f \circ g)(x)$ .
Provide your answer below:

Question Find the $y$ -intercept of the following function. $f(x)=12 x^{2}-4 x-21$
Give your answer as an ordered pair.

Question Find the $x$ -intercept(s) of the following function. $f(x)=12 x^{2}-4 x-21$
Select all correct answers.

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is $\qquad$
Single-digit integer (-9 to 9)

Question Based on the degree of the polynomial $f(x)$ given below, what is the maximum number of turning points the graph of $f(x)$ can have? $f(x)=\left(x^{2}-7\right)\left(x^{2}-6\right)\left(x^{2}+4\right)$

Question
Consider the graph of the function $f(x)=\frac{x^{3}-6 x^{2}+8 x}{x^{2}-2 x-8}$ . Which is a removable discontinuity for the graph? Select all that apply.

Question Wat
Factor the expression completely. $x^{4}+x^{2}-72$
Answer Attempt I out of 2

- Higher Level
Ilowing simultaneous equations for $x, y, w \in \mathbb{Z}$ : $\begin{aligned} x+2 y & =143 \\ y+3 w & =-74 \\ 4 x+5 w & =4 \end{aligned}$

The graph of linear function $f$ passes through the point $(1,-9)$ and has a slope of -3 .
What is the zero of $f$ ?
F 2 G 4 H -6 J -2

Question 9
Solve the proportion. If necessary, round to the nearest hundredth. $\begin{array}{l} \frac{18}{26}=\frac{3}{g+4} \\ g= \end{array}$

Question Watch $V$
Solve the following quadratic equation for all values of $x$ in simplest form. $(x-6)^{2}-23=-12$
Answer Attempt 1 out of 2

Question Watch Video Show Examples
If using the method of completing the square to solve the quadratic equation $x^{2}+8 x+37=0$ , which number would have to be added to "complete the square"? Answer Attempt 1 out of 2

Find the range. Write in interval notation. $g(z)=\sqrt{4 z+6}-1$
Type to search symbols

57. $-5>p-\frac{1}{5}$

$\text{جد قيم } \, x \, \text{التي تجعل الزاوية بين المتجهين منفرجة}$

( 20 علامة) $\sum_{r=1}^{n} 2 r-1=n^{2}$
السؤال الثالث:
برهن باستخدام الاستقراء الرياضي أن:

Is $y-4=3(x+1)$ an equation of a line through $(-2,1)$ ? Explain.

$x^{2}-4 x+3+2 \ln x=0$

$\approx 2 \mathrm{cos}$ as $x^{2}-4 x+3+2 \ln x=0 .$

REQUIRED
14. Regina charges $\mathbf{c}$ dollars per hour to babysit. If she increases her rate by $15 \%$ , which expression represents her new rate, in dollars per hour? $\mathrm{c}+0.15$ c+15 $c+0.15 c$ $c+15 c$
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Question 4 of 10 Which choice is equivalent to the product below? $\sqrt{8} \cdot \sqrt{5}$ A. $10 \sqrt{2}$ B. $\sqrt{13}$ C. $2 \sqrt{10}$ D. $4 \sqrt{10}$

Question 2 of 10 Write $\sqrt{a^{8} a^{3}}$ as an algebraic expression using a rational exponent. A. $a^{12}$ B. $a^{11 / 3}$ c. $a^{2 / 24}$ D. $a^{11 / 2}$