Expression

Problem 10701

$\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}$

See Solution

Problem 10702

Multiply. $(u+1)(u-3)$

See Solution

Problem 10703

17/46 $\left(5^{3} x^{2} y^{4}\right)^{0}$ 0
1 5 5xy

See Solution

Problem 10704

19/46
According to the product rule, when we multiply powers with the same base, we keep the base and $\qquad$ the exponents.

See Solution

Problem 10705

Factor. $x^{2}-14 x y+24 y^{2}$

See Solution

Problem 10706

Subtract. $(-8 j-6)-(-9 j+6)$

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Problem 10707

$\int \frac{2 x^{2}+7 x+1}{x^{2}+3 x} d x$

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Problem 10708

AISA 5 to the 8th power - Start Page
Jaxon has two bins. The bins are shaped like cubes with the dimensions shown.
Write an algebraic expression that Jaxon can use to find the total volume, in cubic inches, of the two bins for any value of $x$ .
Then find the total volume of the bins when $x=4$ .
Use the number pad and $x$ to enter your answers in the boxes.
Algebraic Expression: $125+x^{3}$
Total Volume when $x=4: 189$

See Solution

Problem 10709

1) 2) 3)
Prime Factors ${ }_{-} x_{-} x_{-} x_{-}=60$ Prime Factors Prime Factors ${ }_{-} x_{-} x_{-}=99$ $-x_{-} x_{-} x_{-} x_{-}=48$

See Solution

Problem 10710

Use a change of variables or the table to evaluate the following indefinite integral. $\int \frac{e^{3 x}}{e^{3 x}+8} d x$

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Problem 10711

6) $\left(7 \times 5+6^{2}\right)+2$ 7) $\left(86-6^{2}\right)+(-1+3)$ 8) $(35-5)+2+2^{2}$ 9) $(2+2)^{2}+(10+5)$ 10) $\left(61-5^{2}\right) \div(8+4)$

See Solution

Problem 10712

26. $-0.04 w+\frac{a}{1.4}-b^{2}$ when $a=0.56, b=-1.2$ , and
28. $\frac{a}{z}$ when $a=\frac{14}{9}$ and $z=28$
30. $\frac{a+b}{a}$ when $a=\frac{1}{6}$ and $b=\frac{3}{4}$

See Solution

Problem 10713

What is the volume of this figure?

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Problem 10714

9) Given that $\cos \frac{3 \pi}{11} \sim 0.6549$ , use equivalent trigonometric expressions to evaluate the following, to four decimal places. a) $\sin \frac{5 \pi}{22}$ b) $\sin \frac{17 \pi}{22}$

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Problem 10715

3. Factor the following perfect square trinomials. a) $x^{2}+6 x+9$ c) $9 x^{2}+6 x+1$ b) $x^{2}-8 x+16$ d) $4 x^{2}-12 x+9$

See Solution

Problem 10716

PRACTICE
4. Simplify. a) $\left(2 x+5-6 x^{2}\right)+\left(5 x-9 x^{2}+3\right)$ b) $\left(4 x^{2}-3 x+7\right)-\left(2 x^{2}-3 x+1\right)$ c) $(3 x+5)(4 x-7)$ d) $(2 x-1)(2 x+1)$

See Solution

Problem 10717

5. Factor. a) $x^{2}+3 x-40$ c) $81 x^{2}-49$ b) $6 x^{2}+5 x-6$ d) $9 x^{2}+6 x+1$

See Solution

Problem 10718

6. What term will make each expression a perfect trinomial square? a) $x^{2}+6 x+$ c) $4 x^{2}+\square+49$ b) $x^{2}+\square+25$ d) $9 x^{2}-24 x+$

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Problem 10719

Write in factored form. a) $f(x)=x^{2}-7 x-18$ c) $h(x)=4 x^{2}-25$ b) $g(x)=-2 x^{2}+17 x-8$ d) $y=6 x^{2}+13 x-5$

See Solution

Problem 10720

17) $9.3 \times 10^{-8}-8.3 \times 10^{-5}$ 19) $\left(2.3 \times 10^{2}\right)\left(5 \times 10^{1}\right)$ 21) $\left(2.1 \times 10^{-4}\right)\left(3.05 \times 10^{1}\right)$ 23) $\frac{6.3 \times 10^{-5}}{7 \times 10^{4}}$ 25) $\frac{8.88 \times 10^{-1}}{2 \times 10^{6}}$

See Solution

Problem 10721

We want to compute the limit below with the l'Hospital's Rule if it applies. $\lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}$ a) What is the indeterminate type of the limit? $0 / 0$ $0^{0}$ + /00 $0^{\infty}$ b) According to l'Hospital's Rule, where $\begin{array}{l} \qquad \lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}=\lim _{x \rightarrow 0} \frac{A(x)}{B(x)} \\ \text { where } \\ {[A(x), B(x)]=\square \text { 目 }} \end{array}$ $\square$ FORMATTING: Enter your answer as $[A(x), B(x)]$ , including the square brackets and with a comma (,) between the te strict scientific calculator notation: multiplication is written *; for example, you must write $2 x$ as $2^{\star} \boldsymbol{x}$ . c) Conclude that $\lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}=\lim _{x \rightarrow 0} \frac{A(x)}{B(x)}=$ $\square$ FORMATTING: Give the exact answer.

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Problem 10722

Question Watch Video Show Ex
The expression $\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}$ is equivalent to

See Solution

Problem 10723

1.1: Reasonable Estimates
1. Which estimate for the product $18 \times 149$ is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

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Problem 10724

$\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z$

See Solution

Problem 10725

$\int 7 x e^{4 x} d x=$ $\square$ $+C$

See Solution

Problem 10726

$\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}$

See Solution

Problem 10727

15. The surface area for a rectangular prism with a square base is given by the expression $2 s^{2}+4 s h$ , where $s$ is the side length of the square base and $h$ is the height of the prism. What is the surface area in square feet of a rectangular prism when $s=4$ feet and $h=6$ feet?

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Problem 10728

Which expression is equivalent to $\sqrt{\frac{2 x^{5}}{18}} ?$ Assume $x \geq 0$ . $\frac{x^{2} \sqrt{x}}{3}$ $\frac{3 \sqrt{x}}{x^{2}}$ $\frac{\sqrt{x}}{3 x^{2}}$ $\frac{2 x \sqrt{x}}{3}$

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Problem 10729

Factor out the greatest common factor from the expression $8b^2 - 4b + 20$ .

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Problem 10730

Evaluate the following expressions. (a) $\log _{2}\left(\frac{1}{32}\right)=$ $\square$ (b) $\log _{9} 1=$ $\square$ (c) $\log _{4} \sqrt{256}=$ $\square$ (d) $5^{\log _{5} 9}=$ $\square$

See Solution

Problem 10731

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

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Problem 10732

Your car's back window is in the shape of a trapezoid with the dimensions shown. The 16 -inch window wiper cleans a part of the window in a semicircular pattern.
What is the approximate area of the window that is not cleaned by the wiper? CLEAR CHECK about 64 square inches about 338 square inches
about 402 square inches about 740 square inches

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Problem 10733

What is the volume of this square pyramid? Round to nearest hundredth.

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Problem 10734

```latex \begin{array}{r} \square 7 \\ +378 \\ +\quad 147 \\ \hline \end{array} ```

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Problem 10735

1. If $J$ is the centroid of $\triangle C D E, D E=52, F C=15$ , and $H E=14$ , find each measure. $\begin{aligned} D G & =26 \\ G E & =26 \\ D F & =17.33 \\ C H & =5 \\ C E & =4.67 \end{aligned}$ Show Your Work

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Problem 10736

For each of the improper integrals below, if the comparison test applies, enter either $A$ or $B$ followed by one letter from $C$ to $G$ that best applies, and if the comparison test does not apply, enter only G.
For example, one possible answer is AF, and another possible answer is G. Hint: $0<e^{-x} \leq 1$ for $x \geq 1$ . (i) 1. $\int_{1}^{\infty} \frac{5+\sin (x)}{\sqrt{x}} d x$ (1) 2. $\int_{1}^{\infty} \frac{\cos ^{2}(x)}{x^{2}+2} d x$ (i) $3 . \int_{1}^{\infty} \frac{1}{x^{3}+2} d x$ (i) 4. $\int_{1}^{\infty} \frac{e^{-x}}{x^{2}} d x$ A. The integral is convergent B. The integral is divergent C. by comparison to $\int_{1}^{\infty} \frac{1}{\sqrt{x}} d x$ . D. by comparison to $\int_{z_{\infty}}^{\infty} \frac{1}{x^{5 / 2}} d x$ . E. by comparison to $\int_{1_{\infty}^{\infty}}^{\infty} \frac{1}{x^{2}} d x$ . F. by comparison to $\int_{1}^{\infty} \frac{1}{x^{3}} d x$ . G. The comparison test does not apply.

See Solution

Problem 10737

What is the class width if the minimum is 20, the range is 106, and there are 8 classes?

See Solution

Problem 10738

Calculate the sum of 838.0 and 542.7. What is the result?

See Solution

Problem 10739

Factor the expression $4x^{2}+16$ .

See Solution

Problem 10740

Find the limit as $h$ approaches 0 for $\frac{\frac{5}{-3+h}+\frac{5}{3}}{h}$ .

See Solution

Problem 10741

How many ways can you choose 2 different instructors from 6 for your statistics classes? Use the formula for combinations: $\binom{6}{2}$ .

See Solution

Problem 10742

How many unique 5-symbol passwords can be formed from 9 different symbols? Provide your answer in simplest form.

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Problem 10743

How many ways can 13 players (7 girls, 6 boys) be assigned to 5 positions?

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Problem 10744

How many ways can 13 players (7 girls, 6 boys) be assigned to 5 positions? Use the formula: $P(13, 5)$ .

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Problem 10745

Evaluate the following using a calculator:
39. $\cos 52^{\circ}$
40. $\csc 1.34$
41. $\sin \frac{3 \pi}{8}$
43. Find 2 values of $\theta \in (0,360^{\circ})$ where $\tan \theta = -3.7320$
44. Find 2 values of $\theta \in [0,360^{\circ})$ where $\sin \theta = 0.3471$
45. Find 2 values of $\theta \in [0,2 \pi)$ where $\sec \theta = -1.6024$

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Problem 10746

How many ways can 6 people sit in 10 seats? Provide your answer in simplest form.

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Problem 10747

Calculate $2,593 \div 21$ .

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Problem 10748

Find the ratio of monkeys to all animals at the zoo: $\frac{17}{3+2+17+4}$ . Choices: A. $9:17$ , B. $17:9$ , C. $17:26$ , D. $26:17$ .

See Solution

Problem 10749

How many ways can 11 out of 15 representatives be chosen for presentations? Calculate using combinations: $\binom{15}{11}$ .

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Problem 10750

Convert $1.000 \times 10^{3} \mathrm{~cm}^{3}$ of water to gallons using $1 \mathrm{~cm}^{3}=1 \mathrm{~mL}$ and $1 \mathrm{~L}=0.264$ gallons.

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Problem 10751

What is the ratio of rabbits to total animals in a zoo with 5 goats, 8 sheep, and 12 rabbits? A. $8: 12$ B. $12: 13$ C. $12: 25$ D. $25: 12$

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Problem 10752

Calculate the total combinations of a password with 3 digits ( $10$ options) and 8 letters ( $26$ options) without repetition.

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Problem 10753

How much is 9,609 Iceland Krona in U.S. Dollars? Round to the nearest dollar. Choose the correct fractions for dimensional analysis.

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Problem 10754

What is another way to express the ratio of brown-eyed students to total students, $20: 25$ ? A. 20 B. 25 C. $\frac{20}{25}$ D. $\frac{25}{20}$

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Problem 10755

Convert $1,000,000$ Joules to calories and $\mathrm{kWh}$ . How many calories and $\mathrm{kWh}$ is that?

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Problem 10756

Find the limit: $\lim _{h \rightarrow 0} \frac{\frac{5}{-4+h}+\frac{5}{4}}{h}$ .

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Problem 10757

Check if these products are less than 25: $10.4 \times 2.3$ , $0.8 \times 31$ , $2.86 \times 11.4$ , $5.6 \times 4.50$ .

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Problem 10758

Convert the expanded forms to standard form: A. $3,000 + 500 + 2$ B. $30,000 + 50 + 2$

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Problem 10759

Calculate $1.75 \times 7$ .

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Problem 10760

Calculate $231 \div 42$ .

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Problem 10761

Patrick drew a smiley face on $\frac{1}{3}$ of the circles. What is the ratio of total circles to blank circles? A. $1:3$ B. $2:3$ C. $3:2$

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Problem 10762

Divide $78.32$ by $2$ .

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Problem 10763

Divide 66.15 by 5: $66.15 \div 5$

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Problem 10764

Divide 188.4 by 60. What is the result?

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Problem 10765

Calculate $59.6 \div 8$ .

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Problem 10766

Find the equivalent expression for $\frac{10^{6}}{2^{6}}$ .

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Problem 10767

Divide 7.7 by 700. How many decimal places does the result have? Explain using place-value reasoning.

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Problem 10768

Show why $1.016 \div 4.064 \neq 0.025$ without performing the division.

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Problem 10769

What is $1,408 \div 27$ ?

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Problem 10770

Divide 5.372 by 2 using long division.

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Problem 10771

1. Find the midpoint $M$ of the line segment with endpoints $R(2,4)$ and $S(-1,7)$ .
2. Given midpoint $(5,-2)$ and endpoint $B(3,4)$ , find the coordinates of endpoint $C$ .

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Problem 10772

Find the total length in inches of the diameters of 8 softball bat handles, each with a diameter of $1 \frac{3}{4}$ .

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Problem 10773

Multiply the fractions: $\frac{1}{3} \times \frac{1}{4}$ .

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Problem 10774

Calculate the product of $\frac{5}{6}$ and $\frac{3}{7}$ .

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Problem 10775

Calculate the product of $\frac{4}{30}$ and $\frac{2}{5}$ .

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Problem 10776

Identify the integers from the list: A. $\sqrt{9}$ , B. $\frac{3}{8}$ , C. -7, D. $0 . \overline{25}$ , E. None.

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Problem 10777

Identify the whole numbers from the options: A. -7, B. $0.\overline{25}$ , C. $\sqrt{9}$ , D. $\frac{3}{8}$ , E. None.

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Problem 10778

Evaluate the expression: $|5 \cdot 3 - 6 \cdot 9|$ . What is the result?

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Problem 10779

Calculate $-8^{2}-2(5-8)^{4}=\square($ Simplify your answer. $)$

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Problem 10780

Convert 232 oz to lb and round your answer to 3 decimal places. $232 \mathrm{oz} =$ $\mathrm{lb}$

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Problem 10781

Calculate $\frac{16.2}{40} \cdot 360^{\circ}$ .

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Problem 10782

Simplify $x^{-\frac{2}{3}} \cdot x^{\frac{6}{7}}$ . Choose the correct option: A, B, C, or D.

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Problem 10783

Which property shows $4^{\frac{5}{3}} = \sqrt[3]{4}$ ? Options include exponent rules and simplifications.

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Problem 10784

Convert 11 feet to meters using $1 \mathrm{ft}=0.305 \mathrm{~m}$ or $1 \mathrm{~m}=3.281 \mathrm{ft}$ . Round to the nearest hundredth.

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Problem 10785

Simplify the expression $\sqrt[3]{875 x^{5} y^{9}}$ using cube root and exponent rules.

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Problem 10786

Select equivalent expressions for $\left(\frac{750}{512}\right)^{\frac{1}{8}}$ : $\frac{5}{8} \sqrt[3]{6}$ , $\frac{\sqrt[3]{750}}{512}$ , $\frac{750}{\sqrt[3]{512}}$ , $\sqrt[3]{\frac{750}{512}}$ , $\frac{\sqrt[3]{750}}{\sqrt[3]{512}}$ , $\frac{5}{8}$ .

See Solution

Problem 10787

Calculate: $\left(\frac{2}{7}\right)(-4)=$

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Problem 10788

Rationalize and simplify the expression: $\frac{3}{\sqrt{7}}$ .

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Problem 10789

Simplify: $-8^{2}-56 \div 7-6=$

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Problem 10790

Rationalize and simplify the expression: $\frac{\sqrt{10}}{\sqrt{6}}$ .

See Solution

Problem 10791

Find the midpoint $M$ of the segment with endpoints $R(2,4)$ and $S(-1,7)$ .

See Solution

Problem 10792

Convert 15,000 to scientific notation. Provide your answer in the form $a \times 10^n$ .

See Solution

Problem 10793

Convert 78000 to scientific notation: $7.8 \times 10^4$

See Solution

Problem 10794

Convert 0.000000000045 to scientific notation.

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Problem 10795

Convert 0.0000000094 to scientific notation.

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Problem 10796

Convert -0.0036 to scientific notation.

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Problem 10797

Convert the wavelength of light, $8 \times 10^{-2}$ meter, into decimal form: $8 \times 10^{-2} \text{ meter }=\square \text{ meter }$

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Problem 10798

Convert $3.262 \times 10^{3}$ into standard form. What is $3.262 \times 10^{3}=$ ? (Enter as an integer or decimal.)

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Problem 10799

Find the value of $5^{2 \log_{36}(6)}$ without a calculator.

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Problem 10800

Convert 0.26 watts of electrical power into scientific notation. $0.26 =$

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1 ...105 106 107 108 109 110 111 ...144

Expression

Problem 10701

(3m2n7m)5\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}(m3m2n7​)5

Problem 10702

Multiply. (u+1)(u−3)(u+1)(u-3)(u+1)(u−3)

Problem 10703

17/46 (53x2y4)0\left(5^{3} x^{2} y^{4}\right)^{0}(53x2y4)0 01 5 5xy

Problem 10704

19/46According to the product rule, when we multiply powers with the same base, we keep the base and \qquad the exponents.

Problem 10705

Factor. x2−14xy+24y2x^{2}-14 x y+24 y^{2}x2−14xy+24y2

Problem 10706

Subtract. (−8j−6)−(−9j+6)(-8 j-6)-(-9 j+6)(−8j−6)−(−9j+6)

Problem 10707

∫2x2+7x+1x2+3xdx\int \frac{2 x^{2}+7 x+1}{x^{2}+3 x} d x∫x2+3x2x2+7x+1​dx

Problem 10708

Problem 10709

1) 2) 3)Prime Factors −x−x−x−=60{ }_{-} x_{-} x_{-} x_{-}=60−​x−​x−​x−​=60 Prime Factors Prime Factors −x−x−=99{ }_{-} x_{-} x_{-}=99−​x−​x−​=99 −x−x−x−x−=48-x_{-} x_{-} x_{-} x_{-}=48−x−​x−​x−​x−​=48

Problem 10710

Use a change of variables or the table to evaluate the following indefinite integral. ∫e3xe3x+8dx\int \frac{e^{3 x}}{e^{3 x}+8} d x∫e3x+8e3x​dx

Problem 10711

6) (7×5+62)+2\left(7 \times 5+6^{2}\right)+2(7×5+62)+2 7) (86−62)+(−1+3)\left(86-6^{2}\right)+(-1+3)(86−62)+(−1+3) 8) (35−5)+2+22(35-5)+2+2^{2}(35−5)+2+22 9) (2+2)2+(10+5)(2+2)^{2}+(10+5)(2+2)2+(10+5) 10) (61−52)÷(8+4)\left(61-5^{2}\right) \div(8+4)(61−52)÷(8+4)

Problem 10712

26. −0.04w+a1.4−b2-0.04 w+\frac{a}{1.4}-b^{2}−0.04w+1.4a​−b2 when a=0.56,b=−1.2a=0.56, b=-1.2a=0.56,b=−1.2, and28. az\frac{a}{z}za​ when a=149a=\frac{14}{9}a=914​ and z=28z=28z=2830. a+ba\frac{a+b}{a}aa+b​ when a=16a=\frac{1}{6}a=61​ and b=34b=\frac{3}{4}b=43​

Problem 10713

What is the volume of this figure?

Problem 10714

9) Given that cos⁡3π11∼0.6549\cos \frac{3 \pi}{11} \sim 0.6549cos113π​∼0.6549, use equivalent trigonometric expressions to evaluate the following, to four decimal places. a) sin⁡5π22\sin \frac{5 \pi}{22}sin225π​ b) sin⁡17π22\sin \frac{17 \pi}{22}sin2217π​

Problem 10715

3. Factor the following perfect square trinomials. a) x2+6x+9x^{2}+6 x+9x2+6x+9 c) 9x2+6x+19 x^{2}+6 x+19x2+6x+1 b) x2−8x+16x^{2}-8 x+16x2−8x+16 d) 4x2−12x+94 x^{2}-12 x+94x2−12x+9

Problem 10716

Problem 10717

5. Factor. a) x2+3x−40x^{2}+3 x-40x2+3x−40 c) 81x2−4981 x^{2}-4981x2−49 b) 6x2+5x−66 x^{2}+5 x-66x2+5x−6 d) 9x2+6x+19 x^{2}+6 x+19x2+6x+1

Problem 10718

6. What term will make each expression a perfect trinomial square? a) x2+6x+x^{2}+6 x+x2+6x+ c) 4x2+□+494 x^{2}+\square+494x2+□+49 b) x2+□+25x^{2}+\square+25x2+□+25 d) 9x2−24x+9 x^{2}-24 x+9x2−24x+

Problem 10719

Write in factored form. a) f(x)=x2−7x−18f(x)=x^{2}-7 x-18f(x)=x2−7x−18 c) h(x)=4x2−25h(x)=4 x^{2}-25h(x)=4x2−25 b) g(x)=−2x2+17x−8g(x)=-2 x^{2}+17 x-8g(x)=−2x2+17x−8 d) y=6x2+13x−5y=6 x^{2}+13 x-5y=6x2+13x−5

Problem 10720

Problem 10721

Problem 10722

Question Watch Video Show ExThe expression sec⁡2x−tan⁡2x1−cos⁡2x\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}1−cos2xsec2x−tan2x​ is equivalent to

Problem 10723

1.1: Reasonable Estimates1. Which estimate for the product 18×14918 \times 14918×149 is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

Problem 10724

∫2∞9(1−3z)4dz\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z∫2∞​(1−3z)49​dz

Problem 10725

∫7xe4xdx=\int 7 x e^{4 x} d x=∫7xe4xdx= □\square□ +C+C+C

Problem 10726

8s4t−22s3t3⋅3s2t72s−1\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}2s3t38s4t−2​⋅2s−13s2t7​

Problem 10727

Problem 10728

Which expression is equivalent to 2x518?\sqrt{\frac{2 x^{5}}{18}} ?182x5​​? Assume x≥0x \geq 0x≥0. x2x3\frac{x^{2} \sqrt{x}}{3}3x2x​​ 3xx2\frac{3 \sqrt{x}}{x^{2}}x23x​​ x3x2\frac{\sqrt{x}}{3 x^{2}}3x2x​​ 2xx3\frac{2 x \sqrt{x}}{3}32xx​​

Problem 10729

Factor out the greatest common factor from the expression 8b2−4b+208b^2 - 4b + 208b2−4b+20.

Problem 10730

Evaluate the following expressions. (a) log⁡2(132)=\log _{2}\left(\frac{1}{32}\right)=log2​(321​)= □\square□ (b) log⁡91=\log _{9} 1=log9​1= □\square□ (c) log⁡4256=\log _{4} \sqrt{256}=log4​256​= □\square□ (d) 5log⁡59=5^{\log _{5} 9}=5log5​9= □\square□

Problem 10731

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK □\square□ ft2\mathrm{ft}^{2}ft2

Problem 10732

Problem 10733

What is the volume of this square pyramid? Round to nearest hundredth.

Problem 10734

```latex \begin{array}{r} \square 7 \\ +378 \\ +\quad 147 \\ \hline \end{array} ```

Problem 10735

Problem 10736

Problem 10737

What is the class width if the minimum is 20, the range is 106, and there are 8 classes?

Problem 10738

Calculate the sum of 838.0 and 542.7. What is the result?

Problem 10739

Factor the expression 4x2+164x^{2}+164x2+16.

Problem 10740

Find the limit as hhh approaches 0 for 5−3+h+53h\frac{\frac{5}{-3+h}+\frac{5}{3}}{h}h−3+h5​+35​​.

Problem 10741

How many ways can you choose 2 different instructors from 6 for your statistics classes? Use the formula for combinations: (62)\binom{6}{2}(26​).

Problem 10742

How many unique 5-symbol passwords can be formed from 9 different symbols? Provide your answer in simplest form.

Problem 10743

How many ways can 13 players (7 girls, 6 boys) be assigned to 5 positions?

Problem 10744

$\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}$

Multiply. $(u+1)(u-3)$

17/46 $\left(5^{3} x^{2} y^{4}\right)^{0}$ 0
1 5 5xy

19/46
According to the product rule, when we multiply powers with the same base, we keep the base and $\qquad$ the exponents.

Factor. $x^{2}-14 x y+24 y^{2}$

Subtract. $(-8 j-6)-(-9 j+6)$

$\int \frac{2 x^{2}+7 x+1}{x^{2}+3 x} d x$

1) 2) 3)
Prime Factors ${ }_{-} x_{-} x_{-} x_{-}=60$ Prime Factors Prime Factors ${ }_{-} x_{-} x_{-}=99$ $-x_{-} x_{-} x_{-} x_{-}=48$

Use a change of variables or the table to evaluate the following indefinite integral. $\int \frac{e^{3 x}}{e^{3 x}+8} d x$

6) $\left(7 \times 5+6^{2}\right)+2$ 7) $\left(86-6^{2}\right)+(-1+3)$ 8) $(35-5)+2+2^{2}$ 9) $(2+2)^{2}+(10+5)$ 10) $\left(61-5^{2}\right) \div(8+4)$

26. $-0.04 w+\frac{a}{1.4}-b^{2}$ when $a=0.56, b=-1.2$ , and
28. $\frac{a}{z}$ when $a=\frac{14}{9}$ and $z=28$
30. $\frac{a+b}{a}$ when $a=\frac{1}{6}$ and $b=\frac{3}{4}$

9) Given that $\cos \frac{3 \pi}{11} \sim 0.6549$ , use equivalent trigonometric expressions to evaluate the following, to four decimal places. a) $\sin \frac{5 \pi}{22}$ b) $\sin \frac{17 \pi}{22}$

3. Factor the following perfect square trinomials. a) $x^{2}+6 x+9$ c) $9 x^{2}+6 x+1$ b) $x^{2}-8 x+16$ d) $4 x^{2}-12 x+9$

5. Factor. a) $x^{2}+3 x-40$ c) $81 x^{2}-49$ b) $6 x^{2}+5 x-6$ d) $9 x^{2}+6 x+1$

6. What term will make each expression a perfect trinomial square? a) $x^{2}+6 x+$ c) $4 x^{2}+\square+49$ b) $x^{2}+\square+25$ d) $9 x^{2}-24 x+$

Write in factored form. a) $f(x)=x^{2}-7 x-18$ c) $h(x)=4 x^{2}-25$ b) $g(x)=-2 x^{2}+17 x-8$ d) $y=6 x^{2}+13 x-5$

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The expression $\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}$ is equivalent to

1.1: Reasonable Estimates
1. Which estimate for the product $18 \times 149$ is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

$\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z$

$\int 7 x e^{4 x} d x=$ $\square$ $+C$

$\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}$

Which expression is equivalent to $\sqrt{\frac{2 x^{5}}{18}} ?$ Assume $x \geq 0$ . $\frac{x^{2} \sqrt{x}}{3}$ $\frac{3 \sqrt{x}}{x^{2}}$ $\frac{\sqrt{x}}{3 x^{2}}$ $\frac{2 x \sqrt{x}}{3}$

Factor out the greatest common factor from the expression $8b^2 - 4b + 20$ .

Evaluate the following expressions. (a) $\log _{2}\left(\frac{1}{32}\right)=$ $\square$ (b) $\log _{9} 1=$ $\square$ (c) $\log _{4} \sqrt{256}=$ $\square$ (d) $5^{\log _{5} 9}=$ $\square$

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

Factor the expression $4x^{2}+16$ .

Find the limit as $h$ approaches 0 for $\frac{\frac{5}{-3+h}+\frac{5}{3}}{h}$ .

How many ways can you choose 2 different instructors from 6 for your statistics classes? Use the formula for combinations: $\binom{6}{2}$ .

How many ways can 13 players (7 girls, 6 boys) be assigned to 5 positions? Use the formula: $P(13, 5)$ .

Calculate $2,593 \div 21$ .

Find the ratio of monkeys to all animals at the zoo: $\frac{17}{3+2+17+4}$ . Choices: A. $9:17$ , B. $17:9$ , C. $17:26$ , D. $26:17$ .

How many ways can 11 out of 15 representatives be chosen for presentations? Calculate using combinations: $\binom{15}{11}$ .

Convert $1.000 \times 10^{3} \mathrm{~cm}^{3}$ of water to gallons using $1 \mathrm{~cm}^{3}=1 \mathrm{~mL}$ and $1 \mathrm{~L}=0.264$ gallons.

What is the ratio of rabbits to total animals in a zoo with 5 goats, 8 sheep, and 12 rabbits? A. $8: 12$ B. $12: 13$ C. $12: 25$ D. $25: 12$

Calculate the total combinations of a password with 3 digits ( $10$ options) and 8 letters ( $26$ options) without repetition.

What is another way to express the ratio of brown-eyed students to total students, $20: 25$ ? A. 20 B. 25 C. $\frac{20}{25}$ D. $\frac{25}{20}$

Convert $1,000,000$ Joules to calories and $\mathrm{kWh}$ . How many calories and $\mathrm{kWh}$ is that?

Find the limit: $\lim _{h \rightarrow 0} \frac{\frac{5}{-4+h}+\frac{5}{4}}{h}$ .

Check if these products are less than 25: $10.4 \times 2.3$ , $0.8 \times 31$ , $2.86 \times 11.4$ , $5.6 \times 4.50$ .

Convert the expanded forms to standard form: A. $3,000 + 500 + 2$ B. $30,000 + 50 + 2$

Calculate $1.75 \times 7$ .

Calculate $231 \div 42$ .

Patrick drew a smiley face on $\frac{1}{3}$ of the circles. What is the ratio of total circles to blank circles? A. $1:3$ B. $2:3$ C. $3:2$

Divide $78.32$ by $2$ .

Divide 66.15 by 5: $66.15 \div 5$

Calculate $59.6 \div 8$ .

Find the equivalent expression for $\frac{10^{6}}{2^{6}}$ .

Show why $1.016 \div 4.064 \neq 0.025$ without performing the division.

What is $1,408 \div 27$ ?

1. Find the midpoint $M$ of the line segment with endpoints $R(2,4)$ and $S(-1,7)$ .
2. Given midpoint $(5,-2)$ and endpoint $B(3,4)$ , find the coordinates of endpoint $C$ .

Find the total length in inches of the diameters of 8 softball bat handles, each with a diameter of $1 \frac{3}{4}$ .

Multiply the fractions: $\frac{1}{3} \times \frac{1}{4}$ .

Calculate the product of $\frac{5}{6}$ and $\frac{3}{7}$ .