Simplify

Problem 2901

Simplify the expression 4x23x3+7x312x-4x^2\sqrt{3x^3} + 7x^3\sqrt{12x} into simplest radical form.

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Problem 2902

Simplify: 303^{0}. What is the result?

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Problem 2903

Calculate the value of the expression (62)4\left(6^{2}\right)^{4}.

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Problem 2904

Simplify 4x23x3+7x312x-4 x^{2} \sqrt{3 x^{3}}+7 x^{3} \sqrt{12 x} to its simplest radical form.

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Problem 2905

Simplify 9175x23x79 \sqrt{175 x^{2}} - 3 x \sqrt{7} to its simplest radical form.

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Problem 2906

Simplify 4x23x3+7x312x-4 x^{2} \sqrt{3 x^{3}} + 7 x^{3} \sqrt{12 x} to its simplest radical form.

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Problem 2907

Simplify the expression: 116114\frac{11^{6}}{11^{4}}. What is the result?

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Problem 2908

Simplify the expression: (3x2y3x3)3\left(\frac{3 x^{2} y^{3}}{x^{3}}\right)^{3}.

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Problem 2909

Simplify x3x53x23x3-x \sqrt{3 x^{5}}-3 x^{2} \sqrt{3 x^{3}} to its simplest radical form.

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Problem 2910

Simplify 4x1923x24 x \sqrt{192}-\sqrt{3 x^{2}} to its simplest radical form.

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Problem 2911

Simplify the expression: 12a3b6c53a2b4c5\frac{12 a^{3} b^{6} c^{5}}{3 a^{2} b^{4} c^{5}}

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Problem 2912

Simplify: (3x2y3z3)3\left(\frac{3 x^{2} y^{3}}{z^{3}}\right)^{3}

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Problem 2913

Find the equivalent expression for (2w2)3(8w6)\left(2 w^{-2}\right)^{3}\left(8 w^{6}\right).

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Problem 2914

Find the equivalent expression for cd4c2d8\frac{c d^{4}}{c^{2} d^{8}}.

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Problem 2915

Convert 6873 x 10^6 into scientific notation: [?] x 10^[?].

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Problem 2916

Rewrite 300 using 2 significant figures.

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Problem 2917

Calculate 104×10710^{4} \times 10^{7}.

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Problem 2918

Calculate 106102\frac{10^{6}}{10^{2}}.

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Problem 2919

Express 7, 10, 17, and 24 rods as fractions of 32: 732\frac{7}{32}, 1032\frac{10}{32}, 1732\frac{17}{32}, 2432\frac{24}{32}.

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Problem 2920

Multiply the numerator and denominator of xx21x+12xx2\frac{\frac{x}{x-2}-\frac{1}{x+1}}{\frac{2 x}{x-2}} by which expression to simplify?

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Problem 2921

Calculate (3×105)×(2×102)(3 \times 10^{5}) \times (2 \times 10^{2}) and express the answer in the form V×10nV \times 10^{n}.

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Problem 2922

Find the absolute value of 18: 18|18|.

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Problem 2923

Use the distributive property to simplify: 4(6+7)=4(6+7)=

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Problem 2924

Calcular el área total usando la fórmula: =(4(55/2))+(425)+(418)=(4 *(5 * 5 / 2))+(4 * 25)+(4 * 18) y encuentra el resultado.

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Problem 2925

Calculate the expression: 3164363 \sqrt{16}-4 \sqrt{36}.

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Problem 2926

Simplify the expression by combining like terms: 3x8x284x2-3x - 8x^{2} - 8 - 4x^{2}.

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Problem 2927

Combine like terms in the expression: 8xx3+6x\frac{-8 x-x}{3}+6 x.

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Problem 2928

Simplify 18-18.

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Problem 2929

Calculate 336+5493 \sqrt{36} + 5 \sqrt{49}.

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Problem 2930

Calculate the value of 393\frac{-39}{3}.

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Problem 2931

Evaluate 2x+7+8x2x + 7 + 8x at x=4x = -4 and simplify.

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Problem 2932

Identify the first step to simplify the expression: 45(3x+3)4-5(3 x+3).

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Problem 2933

Simplify the expression: 3(2x)2(4x10)-3(2-x)-2(4x-10)

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Problem 2934

Simplify f(x+h)f(x)h\frac{f(x+h)-f(x)}{h} for f(x)=8x+6f(x)=8x+6.

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Problem 2935

Write the inequality 3x3 \leq x in interval notation.

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Problem 2936

Simplify the expression by combining like terms: 3xx2+9x\frac{-3 x - x}{2} + 9 x

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Problem 2937

Calculate the expression: (8×1)+(5×1100)+(9×11,000)(8 \times 1) + (5 \times \frac{1}{100}) + (9 \times \frac{1}{1,000}).

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Problem 2938

Calculate the expression: [2×(3+5)+6]×4[2 \times(3+5)+6] \times 4.

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Problem 2939

Find values for the function f(x)=3x2+4x4f(x)=3x^2+4x-4:
(b) f(1)f(1), (c) f(1)f(-1), (d) f(x)f(-x), (e) f(x)-f(x), (f) f(x+3)f(x+3), (g) f(4x)f(4x), (h) f(x+h)f(x+h).

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Problem 2940

Simplify -|48|. What is -|48| equal to?

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Problem 2941

Simplify -|92|. What is -|92| equal to?

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Problem 2942

Find the simplified expression for the sum of (3x3)(3x - 3) and (4x9)(-4x - 9).

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Problem 2943

Simplify the expression: 0.5xx0.5 x - x.

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Problem 2944

Simplify 5aa5a - a where "a" is a variable.

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Problem 2945

11. Quel est l'opposé de ces expressions? a) 3x73 x-7 b) 4g24g+2.54 g^{2}-4 g+2.5 c) v2+8v1v^{2}+8 v-1

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Problem 2946

logab3+4loga(ac3)7\log _{a} b^{3}+4 \log _{a}\left(a c^{3}\right)-7, where a,b,c>1a, b, c>1, written as a single logarithm, is loga(b3c3)\log _{a}\left(b^{3} c^{3}\right) loga(bca4)\log _{a}\left(\frac{b c}{a^{4}}\right) loga(b3c12a4)\log _{a}\left(\frac{b^{3} c^{12}}{a^{4}}\right) loga(b3c12a3)\log _{a}\left(\frac{b^{3} c^{12}}{a^{3}}\right)

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Problem 2947

8. Write each expression as a single trigonometric function. a) sin28cos35+cos28sin35\sin 28^{\circ} \cos 35^{\circ}+\cos 28^{\circ} \sin 35^{\circ} b) cos10cos7sin10sin7\cos 10^{\circ} \cos 7^{\circ}-\sin 10^{\circ} \sin 7^{\circ} d) sinπ3cosπ4cosπ3sinπ4\sin \frac{\pi}{3} \cos \frac{\pi}{4}-\cos \frac{\pi}{3} \sin \frac{\pi}{4}

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Problem 2948

Answer the questions below about Line 1 and Line 2 shown below. 7(2+1)72+71\begin{array}{c} 7 \cdot(2+1) \\ 7 \cdot 2+7 \cdot 1 \end{array} Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the \square 7(2+1)7 \cdot(2+1) equals 77 \cdot \square which equals \square . 72+717 \cdot 2+7 \cdot 1 equals \square ++ \square which equals \square .

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Problem 2949

10) 4x23x4 x^{2} \cdot 3 x 11) 2n2n\frac{2 n^{2}}{n} 12) (2x4y4)4\left(2 x^{4} y^{4}\right)^{4} 13) v310u3v58uv3v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3} 14) (7)3(5)2(7)(5)3(7)4(5)4\frac{(7)^{3}(5)^{2}(7)(5)^{3}}{(7)^{4}(5)^{4}} 15) (4n3n2)2\left(4 n^{3} \cdot n^{2}\right)^{2} 16) 2x2y44x2y43x3x3y2\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{-3} y^{2}} 17) (2x3z2)3x3y4z2x4z3\frac{\left(2 x^{3} z^{2}\right)^{3}}{x^{3} y^{4} z^{2} \cdot x^{-4} z^{3}}

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Problem 2950

1 point)
Simplify each expression 803\sqrt[3]{-80} by writing in simplest radical form AC3A \sqrt[3]{C}. Answer: A=A= \square and C=C= \square

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Problem 2951

lect the equivalent expression. (s7s6)12\left(s^{-7} \cdot s^{6}\right)^{\frac{1}{2}}
Answer s\sqrt{s} s2s^{2} 1s2\frac{1}{s^{2}} 1s\frac{1}{\sqrt{s}}
You have up to 7 questions left to raise your score.

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Problem 2952

Simplify completely. 6842\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}} A. 252 B. 252\sqrt{252} C. 767 \sqrt{6} D. 676 \sqrt{7} E. 36736 \sqrt{7}

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Problem 2953

Consider two functions ff and gg on [3,7][3,7] such that 37f(x)dx=13,37g(x)dx=6,47f(x)dx=5\int_{3}^{7} f(x) d x=13, \int_{3}^{7} g(x) d x=6, \int_{4}^{7} f(x) d x=5, and 34g(x)dx=4\int_{3}^{4} g(x) d x=4. Evaluate the following integrals. a. 342f(x)dx=16\int_{3}^{4} 2 f(x) d x=16 (Simplify your answer.) b. 37(f(x)g(x))dx=\int_{3}^{7}(f(x)-g(x)) d x=\square (Simplify your answer.)

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Problem 2954

Бодлого 19. (12x1y2)2\left(\frac{1}{2} x^{-1} y^{2}\right)^{-2} илэрхийллийг хялбарчилна уу. A) 14x2y4\frac{1}{4} x^{2} y^{-4} B) 4x2y4\frac{4 x^{2}}{y^{4}} C) 14x2y4\frac{1}{4} x^{2} y^{4} D) 14x2y4\frac{1}{4} x^{-2} y^{4}

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Problem 2955

Evaluate ddxaxf(t)dt\frac{d}{d x} \int_{a}^{x} f(t) d t and ddxabf(t)dt\frac{d}{d x} \int_{a}^{b} f(t) d t, where aa and bb are constants. ddxaxf(t)dt=f(x)\frac{d}{d x} \int_{a}^{x} f(t) d t=f(x) (Simplify your answer.) ddxabf(t)dt=\frac{d}{d x} \int_{a}^{b} f(t) d t=\square (Simplify your answer.)

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Problem 2956

Divide as indicated. Simplify the answer. ab5a+5b÷a2b2a2+4a+4ab5a+5b÷a2b2a2+4a+4=\begin{array}{r} \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4} \\ \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4}=\square \end{array} \square

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Problem 2957

Divide as indicated. Simplify the answer. ab4a+4b÷a2b2a2+6a+9ab4a+4b÷a2b2a2+6a+9=\begin{array}{l} \frac{a-b}{4 a+4 b} \div \frac{a^{2}-b^{2}}{a^{2}+6 a+9} \\ \frac{a-b}{4 a+4 b} \div \frac{a^{2}-b^{2}}{a^{2}+6 a+9}=\square \end{array} \square

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Problem 2958

Rewrite f(x)f(x) in factored form, but do not simplify: f(x)=3x3+10x225x3x2+17x+20=f(x)=\frac{3 x^{3}+10 x^{2}-25 x}{3 x^{2}+17 x+20}=

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Problem 2959

n!(n1)!\frac{n!}{(n-1)!}

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Problem 2960

59) 20(35)\sqrt{20}(3-\sqrt{5})

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Problem 2961

(2x44x35x25):(x2+2)\left(2 x^{4}-4 x^{3}-5 x^{2}-5\right):\left(x^{2}+2\right)

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Problem 2962

4. Hasil dari 3568103 \frac{5}{6}-\frac{8}{10} dalam bentuk pecahan campuran paling sederhana adalah..

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Problem 2964

a1/6 [(a)5(b)3:(ab)2:(a2)+(b9):(b8)](a3b7)+(a2b4)2\left[(-a)^{5} \cdot(-b)^{3}:(-a b)^{2}:\left(-a^{2}\right)+\left(-b^{9}\right):\left(-b^{8}\right)\right]\left(a^{3} b^{7}\right)+\left(-a^{2} b^{4}\right)^{2}

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Problem 2965

6ax4x9a+66ax - 4x - 9a + 6

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Problem 2966

Express as a single logarithm. log109log103log109log103=\begin{array}{c} \log _{10} 9-\log _{10} 3 \\ \log _{10} 9-\log _{10} 3= \end{array}

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Problem 2967

simplify. 1) 125n\sqrt{125 n} 2) 216v\sqrt{216 v} 3) 512k2\sqrt{512 k^{2}} 4) 512m3\sqrt{512 m^{3}} 5) 216k4\sqrt{216 k^{4}} 6) 100v3\sqrt{100 v^{3}} 7) 80p3\sqrt{80 p^{3}} 8) 45p2\sqrt{45 p^{2}} 9) 147m3n3\sqrt{147 m^{3} n^{3}} 10) 200m4n\sqrt{200 m^{4} n} 11) 75x2y\sqrt{75 x^{2} y} 12) 64m3n3\sqrt{64 m^{3} n^{3}} 13) 16u4v3\sqrt{16 u^{4} v^{3}} 14) 28x3y3\sqrt{28 x^{3} y^{3}}

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Problem 2968

Reduce the fraction to its lowest form. 1055=\frac{10}{55}=\square
RFLT-13 (3)

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Problem 2969

Reduce the fraction to its lowest form. Click and drag the numbers to the designated spaces. Click OK when you are finished.
9 5 \square 6 \square 152.7=\frac{15}{2.7}=\square Activate Windows(0) 00 Go to Settings to activate Wind

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Problem 2970

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. log7(49x5)\log _{7}\left(49 x^{5}\right)

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Problem 2971

Multiply. 6(687)\sqrt{6}(\sqrt{6}-8 \sqrt{7})
Simplify your answer as much as possible. \square

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Problem 2972

perfect square monomia
Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) x22=\sqrt{x^{22}}= \square \square \square \square \square [\sqrt{[ } (b) z30=\sqrt{z^{30}}= \square

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Problem 2973

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) z8=\sqrt{z^{8}}= \square
\sqrt{\square} (b) y18=\sqrt{y^{18}}= \square

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Problem 2974

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) z8=\sqrt{z^{8}}= \square (b) y18=\sqrt{y^{18}}= \square

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Problem 2975

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) w16=\sqrt{w^{16}}= \square (b) x6=\sqrt{x^{6}}= \square

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Problem 2976

Simplify. 75t5u12\sqrt{75 t^{5} u^{12}}
Assume that all variables represent positive real numbers. \square

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Problem 2977

6. Simplify: (2x1)(x+4)(2 x-1)(x+4)

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Problem 2978

7. Simplify: (x5)2(x-5)^{2}

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Problem 2979

Consider the expression 2x3+5x2+5x3x3+1\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}.
Part: 0/30 / 3
Part 1 of 3 (a) Divide the numerator and denominator by the greatest power of xx that appears in the denominator. That is, divide each term in the numerator and denominator by x3x^{3}. Write your answers with positive exponents only. 2x3+5x2+5x3x3+1=+++\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}=\frac{\square+\square+\square}{\square+\square}

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Problem 2980

Simplify. 18w7w3w1518 w^{7} \sqrt{w}-3 \sqrt{w^{15}}
Assume that the variable represents a positive real numbe

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Problem 2981

Simplify. 18w7w3w1518 w^{7} \sqrt{w}-3 \sqrt{w^{15}}
Assume that the variable represents a positive real number.

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Problem 2982

Simplify the radical. Assume that all variables represent positive numbers 81a13\sqrt{81 a^{13}} 81a13=\sqrt{81 a^{13}}= \square (Type an exact answer in simplified form.)

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Problem 2983

Multiply. (3+46)(3+410)(3+4 \sqrt{6})(3+4 \sqrt{10})
Simplify your answer as much as possible. \square

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Problem 2984

1. Which expression is equivalent to 4842\frac{4^{8}}{4^{2}} ? (A) 424^{2} (B) 464^{6} (C) 4104^{10} (D) 444^{4}

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Problem 2985

Write the following numbers in standard form.
50. 3.95×10123.95 \times 10^{12} 51.9.8×10951.9 .8 \times 10^{-9}

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Problem 2986

Express 240\frac{\sqrt{2}}{\sqrt{40}} as a fraction with a rational denominator. Give your answer in its simplest form.

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Problem 2987

log223log212\log _{2} \sqrt[3]{2} \cdot \log _{2} \frac{1}{2}

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Problem 2988

Simplify. 3z11z\sqrt{3 z} \cdot \sqrt{11 z}
Assume that the variable represents a positive real number. \square

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Problem 2989

1. Simplify the expressions to a single trigonometric function: a. csc2(t)1csc2(t)\frac{\csc ^{2}(t)-1}{\csc ^{2}(t)} b. cos(x)tan(x)+sin(x)\cos (x) \tan (x)+\sin (x)
2. Consider cot(x)=13\cot (x)=\frac{1}{\sqrt{3}} a. What quadrant is the angle located? b. Will the cosine of this angle be positive or negative? c. Will the sine of this angle be positive or negative?
3. Consider the function x9x2\frac{x}{\sqrt{9-x^{2}}}. Rewrite this expression by substituting x=3sinθx=3 \sin \theta, and simplifying completely.

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Problem 2990

3. Jika f(x)=2x3f(x)=2 x-3 maka f(1)+2f(x)+f(x1)=f(1)+2 f(x)+f(x-1)=\ldots

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Problem 2991

Factor the polynomial g(x)=8x4+44x3128x2284x+168g(x)=8 x^{4}+44 x^{3}-128 x^{2}-284 x+168 into linear and irreducible quadratic factors.
You must algebraically determine what the polynomial fully factors to AND list the rational zeros.

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Problem 2992

Find the following matrices where A=[863083]A=\left[\begin{array}{rr}8 & 6 \\ 3 & 0 \\ -8 & 3\end{array}\right] and B=[830653]B=\left[\begin{array}{rr}-8 & 3 \\ 0 & 6 \\ -5 & -3\end{array}\right]. a. A+BA+B b. -4 A c. 8A+3B-8 A+3 B a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A+B=A+B= \square (Simplify your answers.) B. This matrix operation is not possible. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice α0\alpha_{0} A. 4 A=-4 \mathrm{~A}= \square (Simplify your answers.) B. This matrix operation is not possible. c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\square A. 8A+3B=-8 A+3 B=\square (Simplify your answers.) B. This matrix operation is not possible.

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Problem 2993

f(x)=x44x38x2+12x+15f(x)=x^{4}-4 x^{3}-8 x^{2}+12 x+15
Factor the polynomial completely.

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Problem 2994

Which expression is equal to 3332?3^{3} \cdot 3^{2} ?
Part A (A) 313^{1} (B) 353^{5} (C) 363^{6} (D) 393^{9}
Part B Evaluate the expression.

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Problem 2995

6. Evaluate 54545^{4} \cdot 5^{-4} (A) 0 (B) 1 (C) 5 (D) 5165^{-16}

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Problem 2996

er the following polynomial function. f(x)=x4+4x33x224x18f(x)=x^{4}+4 x^{3}-3 x^{2}-24 x-18 of 4 : Factor the polynomial completely.

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Problem 2997

Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate log7(7x)log7(7x)=\begin{array}{c} \log _{7}(7 x) \\ \log _{7}(7 x)= \end{array} \square

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Problem 2998

Find the difference quotient and simplify. f(x)=2x22x+6f(x)=-2 x^{2}-2 x+6
The difference quotient of f(x)f(x) is \square

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Problem 2999

Use properties of logarithms to expand each logarithmic expression log4(c64)\log _{4}\left(\frac{\sqrt{c}}{64}\right) \square

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Problem 3000

Use properties of logarithms to condense the logarithmic expression logarithmic expressions. lnx+ln11\ln x+\ln 11

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