Expression

Problem 1201

Factor the following
37. x237x120x^{2}-37 x-120

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Problem 1202

Evaluate the definite integrals a) π/2π5cosxdx=\int_{\pi / 2}^{\pi} 5 \cos x d x= \square b) 0π/414sec2θdθ=\int_{0}^{\pi / 4} 14 \sec ^{2} \theta d \theta= \square c) π/6π/37csctcottdt=\int_{\pi / 6}^{\pi / 3} 7 \csc t \cot t d t= \square

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Problem 1203

Evaluate the following expressions without using a calculator. (a) ln(e16)=\ln \left(\sqrt[6]{e^{1}}\right)= \square (b) ln(1e7)=\ln \left(\frac{1}{e^{7}}\right)= \square (c) ln(e9)=\ln \left(e^{9}\right)= \square (d) eln(4)=e^{\ln (4)}= \square (e) eln(5)=e^{\ln (\sqrt{5})}= \square Question Help: Video 1 Video 2 Message instructor

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Problem 1204

Period \qquad Due Date: Thursday, Nov 14. 2024
7 Ms . Hough can type 330 words in 5 minute Which rate is equivalent to the rate at which Hough can type? a. 55 words per minute b. 66 words per minute c. 55 minutes per word d. 66 minutes per word

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Problem 1205

=limx0e2x+ex2ex=\lim _{x \rightarrow 0} \frac{e^{-2 x}+e^{x}}{2 e^{x}}

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Problem 1206

Logarithms as anti-derivatives. 5x(lnx)2dx=\int \frac{-5}{x(\ln x)^{2}} d x= \square Hint: Use the natural log function and substitution.

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Problem 1207

(1 point) Evaluate the definite integral. 64(x+4)ex2+8x+15dx=\int_{-6}^{-4}(x+4) e^{x^{2}+8 x+15} d x= \square

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Problem 1208

$6,000,000\$ 6,000,000 is what percent of $20,000,000\$ 20,000,000 ? Write your answer using a percent sign (\%). For example, 0.5\%, 12.7\%, or 56%56 \%. \square Submit

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Problem 1209

If ff is continuous and 132f(t)dt=10\int_{1}^{32} f(t) d t=10, find the integral 12t4f(t5)dt\int_{1}^{2} t^{4} f\left(t^{5}\right) d t. Answer: \square

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Problem 1210

Evaluate the indefinite integral 7x1+x4dx\int \frac{-7 x}{1+x^{4}} d x
Note: Any arbitrary constants used must be an upper-case "C".

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Problem 1211

Evaluate the integral by any method. sin(3x)7+cos(3x)dx=\int \frac{\sin (3 x)}{7+\cos (3 x)} d x= \square +C+C

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Problem 1212

(127)23=\left(\frac{1}{27}\right)^{\frac{2}{3}}=

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Problem 1213

The mean GPA of all 7000 students at a college is 2.08 . A sample of 200 GPAs from this school has a mean of 2.66 . Which number is μ\mu and which is xˉ\bar{x} ?
Choose the correct answer below. A. The statistic is xˉ=2.08\bar{x}=2.08, and the parameter is μ=2.66\mu=2.66. B. The statistic is μ=2.08\mu=2.08, and the parameter is xˉ=2.66\bar{x}=2.66. C. The population mean is μ=2.08\mu=2.08, and the sample mean is xˉ=2.66\bar{x}=2.66. D. The population mean is xˉ=2.08\bar{x}=2.08, and the sample mean is μ=2.66\mu=2.66.

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Problem 1214

(64m4)32\left(64 m^{4}\right)^{\frac{3}{2}}

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Problem 1215

Find the slope of the line passing through the following pair of points. (3,2) and (5,4)(3,-2) \text { and }(-5,-4)

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Problem 1216

[-/2 Points] DETAILS MY NOTES MCKTRIG7 5.1.
Multiply the numerator and denominator of the fraction by the conjugat (a) 121+2\frac{1-\sqrt{2}}{1+\sqrt{2}} \square (b) 1sinx1+sinx\frac{1-\sin x}{1+\sin x} \square

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Problem 1217

K=0π4(2cos2xcos4x)dxK=\int_{0}^{\frac{\pi}{4}}(2 \cos 2 x-\cos 4 x) d x

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Problem 1218

Factor the expression completely: 12x28x12x^2 - 8x.

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Problem 1219

Factor the expression completely: x2+11x+24x^{2} + 11x + 24

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Problem 1220

Factor the expression completely: 18x25018x^{2} - 50.

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Problem 1221

1. Using if statement, write a C program that asks the user to input three integers, and then finds the minimum value among the three integers.

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Problem 1222

Factor the expression completely: 6x2+17x+106x^2 + 17x + 10

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Problem 1223

Perform the indicated operation 2x2+3x1)+(5x24x4)\left.2 x^{2}+3 x-1\right)+\left(5 x^{2}-4 x-4\right)

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Problem 1224

(5x2x9)÷(x+4)\left(5 x^{2}-x-9\right) \div(x+4)

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Problem 1225

Divide. Write your answer in simplest form. (a) 6÷15=6 \div \frac{1}{5}= \square (b) 15÷6=\frac{1}{5} \div 6= \square

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Problem 1226

Follow the instructions below.
Write b3b2b^{3} \cdot b^{2} without exponents. b3b2=b^{3} \cdot b^{2}= \square
Fill in the blank. b3b2=b[b^{3} \cdot b^{2}=b^{[ }

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Problem 1227

Simplify. (u4)5\left(u^{4}\right)^{5}
Write your answer without parentheses.

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Problem 1228

A large room has tiles laid out in a regular pattern as below. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & 2m2 m & & & & & & \\ \hline & & 2m2 m & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline \end{tabular}
If each of these tiles is 2 m×2 m2 \mathrm{~m} \times 2 \mathrm{~m}, how far is it (in a straight line) between the two marked points?
Distance == \square m.

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Problem 1229

Factor the common factor out of each expression. Date 1) 28n5+56n2+63n-28 n^{5}+56 n^{2}+63 n A) 7n(4n4+8n+9)7 n\left(-4 n^{4}+8 n+9\right) 2) 24r68r580r4-24 r^{6}-8 r^{5}-80 r^{4} B) 7n(4n4+n+3)7 n\left(-4 n^{4}+n+3\right) A) 8r4(3r2+r+10)-8 r^{4}\left(3 r^{2}+r+10\right) C) 7n(28n5+56n2+63n)7 n\left(-28 n^{5}+56 n^{2}+63 n\right) D) 7n(4n5+8n2+9n)7 n\left(-4 n^{5}+8 n^{2}+9 n\right) B) 8r4(3r3+r2+10r)-8 r^{4}\left(3 r^{3}+r^{2}+10 r\right) C) 8r4(3r3+r2+10)-8 r^{4}\left(3 r^{3}+r^{2}+10\right) D) 8r4(3r3+r+10)-8 r^{4}\left(3 r^{3}+r+10\right) 3) 8m36m+108 m^{3}-6 m+10 A) 2(4m33m+5)2\left(4 m^{3}-3 m+5\right) 4) 4030x+70x240-30 x+70 x^{2} B) 2(4m43m2+5)2\left(4 m^{4}-3 m^{2}+5\right) A) 10(43x+7x2)10\left(4-3 x+7 x^{2}\right) C) 2m(4m33m+5)2 m\left(4 m^{3}-3 m+5\right) B) 10x(23x+7x3)10 x\left(2-3 x+7 x^{3}\right) D) m(4m33m2+5)m\left(4 m^{3}-3 m^{2}+5\right) C) 20(2015x2+35x3)20\left(20-15 x^{2}+35 x^{3}\right) D) 10x(43x+7x2)10 x\left(4-3 x+7 x^{2}\right)

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Problem 1230

Find the volume of this cylinder. Round to the nearest tenth. Submit

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Problem 1231

3. 10(3)2(49)3+5\frac{10-(-3)^{2}-(-4-9)}{-3+5}

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Problem 1232

2n+12n+22n12n2\frac{2^{n+1}-2^{n+2}}{2^{n-1}-2^{n-2}}

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Problem 1233

Suppose that ln2=a\ln 2=\mathrm{a} and ln5=b\ln 5=\mathrm{b}. Use properties of logarithms to write the loga terms of aa and bb.
In 207\sqrt[7]{20} A. 27(ab)\frac{2}{7}(a-b) B. 17(2a+b)\frac{1}{7}(2 a+b) C. 17(a2+b)\frac{1}{7}\left(a^{2}+b\right) D. 27(a+b)\frac{2}{7}(a+b)

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Problem 1235

1. You have a right rectangular prism and you're required to find the perimeter, area of the base, and the volume. The measurement of the given prism is as follows:  Length =60 cm Width =10 cm Height =5 cm\begin{array}{l} \text { Length }=60 \mathrm{~cm} \\ \text { Width }=10 \mathrm{~cm} \\ \text { Height }=5 \mathrm{~cm} \end{array}

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Problem 1236

There is a 50%50 \% chance of having a child that is either a boy or a girl. If a couple has three girls, what is the probability their 4th child will be another girl?

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Problem 1237

2. Вычислить интеграл: l(iz3+3)dz\int_{l}\left(i z^{3}+3\right) d z, где ll - отрезок прямой от точки z1=1z_{1}=1 до точки z2=iz_{2}=i.

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Problem 1238

Упражнения
1. Представить в виде многочлена:
1. (15m)2\left(\frac{1}{5}-m\right)^{2}
2. (2+18x)2\left(2+\frac{1}{8} x\right)^{2}
3. (7y+17x)2\left(-7 y+\frac{1}{7} x\right)^{2}
4. (x34)(34+x)\left(x-\frac{3}{4}\right)\left(\frac{3}{4}+x\right)
5. (4x+2y)3(4 x+2 y)^{3} II. Разложить на множители:
1. 9x26x+19 x^{2}-6 x+1
2. 16m2+24mn+9n216 m^{2}+24 m n+9 n^{2}
3. 0,09m264n20,09 m^{2}-64 n^{2}
4. 7,29x67,84y67,29 x^{6}-7,84 y^{6}
5. 27a364b327 a^{3}-64 b^{3}
6. (2x)2(3x+5)2(2-x)^{2}-(3 x+5)^{2}
7. (3m+5)264(3 m+5)^{2}-64
8. x22x3x^{2}-2 x-3
9. 7x25x+37 x^{2}-5 x+3 III. Сократить дробь
1. 4a4ba2b2\frac{4 a-4 b}{a^{2}-b^{2}}
2. 14c8b49c216b2\frac{14 c-8 b}{49 c^{2}-16 b^{2}} 4x2+20x+254x225\frac{4 x^{2}+20 x+25}{4 x^{2}-25} IV. Упростить выражение
1. 2ab234a2b3\sqrt[3]{2 a b^{2}} \cdot \sqrt[3]{4 a^{2} b}
2. abc4a3cb4\sqrt[4]{\frac{a b}{c}} \cdot \sqrt[4]{\frac{a^{3} c}{b}}
3. a6b75ab25\frac{\sqrt[5]{a^{6} \cdot b^{7}}}{\sqrt[5]{a \cdot b^{2}}}
4. 3xy23y9x23\frac{\sqrt[3]{\frac{3 x}{y^{2}}}}{\sqrt[3]{\frac{y}{9 x^{2}}}}
5. (x46)3\left(\sqrt[6]{x^{4}}\right)^{-3}
6. 7293\sqrt{\sqrt[3]{729}}
7. 933379\sqrt[3]{\sqrt[3]{9}} \cdot \sqrt[9]{3^{7}}
8. (a2b3)6\left(\sqrt{\sqrt[3]{a^{2} b}}\right)^{6}
9. (x3/4)4/5\left(x^{3 / 4}\right)^{4 / 5}
10. (a3)2(a3)3(a1)2:(a2)4\frac{\left(\mathrm{a}^{-3}\right)^{-2} \cdot\left(\mathrm{a}^{3}\right)^{-3}}{\left(\mathrm{a}^{-1}\right)^{-2}:\left(\mathrm{a}^{2}\right)^{-4}}
11. (25a3b2)2:(313a4b3)2\left(\frac{2}{5} a^{-3} b^{2}\right)^{-2}:\left(3 \frac{1}{3} a^{-4} b^{3}\right)^{2}

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Problem 1239

Having that gcd(a,b)=1\operatorname{gcd}(a, b)=1, prove the following- (i) gcd(2a+b,a+2b)=1\operatorname{gcd}(2 a+b, a+2 b)=1 or 3 . (ii) god(a+b,a2+b2)=1\operatorname{god}\left(a+b, a^{2}+b^{2}\right)=1 or 2 .

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Problem 1240

(6) Im Quader liegt das Dreieck ABH. a) Berechne den Umfang des Dreiecks. b) Berechne die Größe des Winkels α\alpha.

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Problem 1241

1. 12z2+312+5z3+6z12z2=(z2z+(z+(z2)+=z2+\begin{array}{l} \frac{1}{2} z^{2}+3 \frac{1}{2}+5 z-3+6 z-\frac{1}{2} z^{2} \\ =\left(\square z^{2}-\square z+\left(\square z+\left(\square z^{2}\right)+\square\right.\right. \\ =\square z^{2}+\square \\ \square\end{array}

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Problem 1242

2. 4y+9y4 y+9 y

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Problem 1243

3×4103 \times \frac{4}{10}

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Problem 1244

6. 12x+12+12x+12\frac{1}{2} x+\frac{1}{2}+\frac{1}{2} x+\frac{1}{2}

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Problem 1245

13. z4+z4+z4+z4z^{4}+z^{4}+z^{4}+z^{4}

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Problem 1246

=(112z2[12z2)=\left(1 \frac{1}{2} z^{2}-\left[\frac{1}{2} z^{2}\right)\right.

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Problem 1247

19. Jan rewrote the expression 12y5\frac{1}{2} y \cdot 5 as 512y5 \cdot \frac{1}{2} y. Which property of operations did Jan use?

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Problem 1248

5. Açagidaki baloniann her birinin Ozorine birer dogal sayryazilmistir.
12 144 180
Ozerinde 12 'nin dogal sayn katı olan balonlar patlatilacagına göre kaç tane balon patlatiligıtir? A) 2 B) 3 C) 4 D) 5

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Problem 1249

```latex Aşağıdaki abaküste üç basamaklı bir doğal sayı modellenmiştir.
Bu abaküsten rastgele bir boncuk çıkarılıyor. Buna göre modellenen üç basamaklı sayı aşağıdaki sayılardan hangisinin bir doğal sayı katı olamaz? A) 11 B) 10 C) 7 D) 4
Abaküsün 1. basamağında 1 tane, 2. basamağında 2 tane, 3. basamağında 2 tane boncuk bulunmaktadır.

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Problem 1250

Which expression gives the distance between the points (4,2)(4,-2) and (4,5)(4,-5) ? Use the coordinate grid to help you find the answer.

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Problem 1251

SULIT DBM10013: ENGINEERING MATHEMATICS I
QUESTION 2 SOALAN 2 CLOI (a) Calculate the complex numbers below in the form of a+bia+b i. Kira nombor kompleks di bawah dalam bentuk a+bia+b i. i. (5+i)2(27i)(5+i)-2(-2-7 i) [3 marks] [3 markah] ii. 4+3i27i\frac{4+3 i}{-2-7 i} [5 marks] [5 markah]
ClOI (b) Calculate the modulus, argument and sketch the Argand Diagram for 105i-10-5 i.
Hitung modulus, hujah dan lakarkan Rajah Argand untuk -10 - 5i5 i. [7 marks] [7 markah] (c) CLO2 i. Solve the following expression in an exponential form.
Selesaikan ungkapan berikut dalam bentuk eksponen. 45(cos270+isin270)×5(cos50+isin50)15(cos110+isin110)\frac{45\left(\cos 270^{\circ}+i \sin 270^{\circ}\right) \times 5\left(\cos 50^{\circ}+i \sin 50^{\circ}\right)}{15\left(\cos 110^{\circ}+i \sin 110^{\circ}\right)} [6 marks] [6 markah] ii. Given that Z1=4125Z_{1}=4 \angle 125^{\circ} and Z2=40(cos25+isin25)Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right). Solve the Z2×Z1Z_{2} \times Z_{1} in polar form. Diberi Z1=4125Z_{1}=4 \angle 125^{\circ} dan Z2=40(cos25+isin25)Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right). Selesaikan Z2×Z1Z_{2} \times Z_{1} dalam bentuk polar. [4 marks] [4 markah ] 4 SULIT

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Problem 1252

What is the formula for the volume of a right cone with base area BB and height hh ? A. V=13BhV=\frac{1}{3} B h B. v=Bhv=B h C. V=2Bh2V=2 B h^{2} D. v=13Bhv=-\frac{1}{3} B h

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Problem 1253

Find the reference angle for 165-165^{\circ}.

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Problem 1254

TUWVUW.\angle T U W \cong \angle V U W .
Which term describes UW\overline{U W} ? perpendicular bisector altitude angle bisector median

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Problem 1255

Simple cless - work (x+4)8x35x×25x1125x+1163/481322×3\begin{array}{l} \frac{(x+4)^{8}}{x^{-3}} \\ \frac{5^{x} \times 25^{x-1}}{125^{x+1}} \\ \frac{163 / 4-8 \frac{1}{3}}{2^{2} \times 3} \end{array}
Solution

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Problem 1256

2. Carmen wrote a proof to show the triangles are congruent. What was her error? C\angle C and F\angle F are rt. s\angle \mathrm{s}. Given AB=DE,AC=DFA B=D E, A C=D F Given - ABDE,ACDF\overline{A B} \cong \overline{D E}, \overline{A C} \cong \overline{D F} Congruent segments have equal measures. ABCDEF\triangle A B C \cong \triangle D E F SSA

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Problem 1257

12y3(2xy)-12 y^{3}(2 x y)
Answer Attempt 1 out of 2

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Problem 1258

Numeric 1 point A software company is hiring for two positions: a software development engineer and a sales operation manager. How many ways can these positions be filled if there are 12 people applying for the engineering position and 17 people applying for the managerial position?
Type your answer...

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Problem 1259

Simplify. Express your answer as a single fraction in simplest form. ww+29\frac{w}{w+2}-9

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Problem 1260

h/public/activity/3006003/assessment 〔 3.6.3 Qulz: Spheres
Question 1 of 10 The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units. A. True B. False SUBMIT - PREVIOUS

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Problem 1261

Numeric 1 point An access code consists of a letter followed by four digits. Any letter can be used, the first digit cannot be 0 , and the last digit must be even (consider 0 as an even number). What is the probability of randomly selecting the correct access code on the first try? Round your answer to the nearest hundred millionth ( 8 decimal places).

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Problem 1262

Determine the momentum of a 1000kg1000-\mathrm{kg} car moving northward at 20 m/s20 \mathrm{~m} / \mathrm{s}.

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Problem 1263

Factor the expression completely. 35x2+63x435 x^{2}+63 x^{4}
Answer Attempt 1 out of 2

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Problem 1264

1. 25+36+14\frac{2}{5}+\frac{3}{6}+\frac{1}{4}
7. 23×2534\frac{2}{3} \times \frac{25}{34}
2. (34+75)910\left(\frac{3}{4}+\frac{7}{5}\right)-\frac{9}{10}
8. 25×76×103\frac{2}{5} \times \frac{7}{6} \times \frac{10}{3}
3. 1213×34\frac{12}{13} \times \frac{3}{4}
9. 920+1710+21100\frac{9}{20}+\frac{17}{10}+\frac{21}{100}
4. 13×15\frac{1}{3} \times \frac{1}{5}
10. 953614\frac{9}{5}-\frac{3}{6}-\frac{1}{4}
5. (75÷68)+410\left(\frac{7}{5} \div \frac{6}{8}\right)+\frac{4}{10}
11. 5619÷2638\frac{56}{19} \div \frac{26}{38}
6. (78+94)+311\left(\frac{7}{8}+\frac{9}{4}\right)+\frac{3}{11}
12. 910÷110\frac{9}{10} \div \frac{1}{10}

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Problem 1265

4) Determine the exact value for each: a) cos27π6sin211π2\cos ^{2} \frac{7 \pi}{6}-\sin ^{2} \frac{11 \pi}{2} b) 2csc211π62-\csc ^{2} \frac{11 \pi}{6}

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Problem 1266

What is the length of the line segment with endpoints (11,4)(11,-4) and (12,4)?(-12,-4) ?
Enter your answer in the box. \square units

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Problem 1267

19z2+31z44\frac{1}{9 z^{2}+31 z-4}-4

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Problem 1268

If two pyramids are similar and the ratio between the lengths of their edges is 4:94: 9, what is the ratio of their volumes? A. 64:72964: 729 B. 81:1681: 16 C. 4:94: 9 D. 16:8116: 81

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Problem 1269

2. 96÷(97)396 \div(9-7)^{3}

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Problem 1270

3. 43+36÷(3+1)24^{3}+36 \div(3+1) \cdot 2

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Problem 1271

The two solids are similar, and the ratio between the lengths of their edges is 2:72: 7. What is the ratio of their surface areas? A. 2:72: 7 B. 4:144: 14 C. 8:3438: 343 D. 4:494: 49

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Problem 1272

What will be the measure of angle 6 if angle 1 is equal to 60 ?

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Problem 1273

1. 2724227-2 \cdot 4^{2}

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Problem 1274

A. 10 ค. 16 C. 24 D. 48 I. 144

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Problem 1275

Consider the following pair of points. (0,9) and (1,1)(0,-9) \text { and }(1,-1)
Step 1 of 2: Determine the distance between the two points.
Answer

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Problem 1276

Do Now Practice
Calculate the slope of the line containing the points: i) (1,1)(1,1) and (2,2)(2,2) ii) (1, 2) and (2, 1) iii) (5,1)(5,1) and (2,1)(2,1)

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Problem 1277

3xx5x+36x30450x2+3x\frac{3x}{x-5} - \frac{x+3}{6x-30} \cdot \frac{450}{x^2+3x}

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Problem 1278

Suppose you have a 110\frac{1}{10} chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of winning with all 3 ? A. 1100\frac{1}{100} B. 11000\frac{1}{1000} C. 1100,000\frac{1}{100,000} D. 110,000\frac{1}{10,000}

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Problem 1279

32+32\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}

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Problem 1280

1) 12a39a2+4a312 a^{3}-9 a^{2}+4 a-3 2) 2p3+5p2+6p+152 p^{3}+5 p^{2}+6 p+15 3) 3n34n2+9n123 n^{3}-4 n^{2}+9 n-12 4) 12n3+4n2+3n+112 n^{3}+4 n^{2}+3 n+1 5) m3m2+2m2m^{3}-m^{2}+2 m-2 6) 5n310n2+3n65 n^{3}-10 n^{2}+3 n-6 7) 35xy5x56y+835 x y-5 x-56 y+8 8) 224az+56ac84yz21yc224 a z+56 a c-84 y z-21 y c 9) mnz5mh25nz+25nh2m n z-5 m h^{2}-5 n z+25 n h^{2}

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Problem 1281

click here to watch the video. The measure of angle BB is 3939^{\circ}. Find the measure of angle HH.
Enter your answer in degrees. \square

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Problem 1282

Watch the video and then solve the problem given below. Click here to watch the video. Find the area of a parallelogram with a base of 12 inches and height of 8 inches.
Enter the answer in square inches. \square square inches

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Problem 1283

Which of the following is a difference of two squares? b230b^{2}-30 b2300b^{2}-300 b290b^{2}-90 b2900b^{2}-900

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Problem 1284

Which of the following is a factor of the polynomial c28c48?c^{2}-8 c-48 ? (c12)(c-12) (c+12)(c+12) (c8)(c-8) (c+8)(c+8)

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Problem 1285

Find the measure of the complement and the supplement of 8585^{\circ}.
What is the measure of the complement of 8585^{\circ} ? \square What is the measure of the supplement of 8585^{\circ} ? \square

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Problem 1286

Find the measure of angle A for the triangle shown.

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Problem 1287

3. Put the fractions in order from smallest to largest by putting the letters in order. Click or tap a letter and then the space where you want to put it.
A 78\frac{7}{8} B 12\frac{1}{2}
C 34\frac{3}{4} D 58\frac{5}{8} : B : c : D : A

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Problem 1288

Find the conjugate then determine in a + bi form the solution to (5i)(5+i)\frac{(5-i)}{(5+i)} (51)/23(5-1) / 23 (135i)/13(13-5 i) / 13 (5+i)/13(5+i) / 13 (53i)/13(5-3 i) / 13 (1i)/10(1-i) / 10

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Problem 1289

(4) Traduis chacune des situation a) Simone tond deux pelouses dans son quartier. Si elle gagne (4x+5)$(4 x+5) \$ au premier endroit, et le double au second, combien gagne-t-elle au total? b) Arthur veut fleurir sa cour. Le premier jour, il plante (3x+2)(3 x+2) fleurs chaque heure. Le second jour, il en plante (2x+5)(2 x+5) al l'heure. S'il travaille 2 h le premier jour et 4 h le second, combien de fleurs plante-t-il en tout? c) La longueur d'un rectangle mesure 2 cm de plus que sa largeur. Si la largeur du rectangle est de x cmx \mathrm{~cm}, quel est son périmètre?

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Problem 1290

Divide 5 by 2\sqrt{ } 2. 2.5 10 5/25 / \sqrt{2} 10\sqrt{ } 10

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Problem 1291

Factor 4x2+12x+94x^2 + 12x + 9.

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Problem 1292

Determine the greatest common factor of (8y2+64)\left(8 y^{2}+64\right) 4 4y4 y 8 8y8 y

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Problem 1293

10. Which number is written in scientific notation? A. 4.5×1034.5 \times 10^{-3} B. 14.5×10214.5 \times 10^{2} C. 0.78×1060.78 \times 10^{-6} D. 5.7×485.7 \times 4^{8}

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Problem 1294

In how many ways can nature select 6 students out of a class of 19 students to get the flu?
There are \square ways nature can select 6 students out of a class of 19 to get the flu.

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Problem 1295

If lna=2,lnb=3\ln a=2, \ln b=3, and lnc=5\ln c=5, evaluate the following: (a) ln(a3b3c3)=\ln \left(\frac{a^{3}}{b^{3} c^{3}}\right)= \square (b) lna1b4c3=\ln \sqrt{a^{1} b^{4} c^{3}}= \square

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Problem 1296

Simplify the expression: log(7x+6)logx\log (7x+6) - \log x as a single logarithm.

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Problem 1297

Question Watch Video
Perform the operation and reduce the answer fully. 9476\frac{9}{4}-\frac{7}{6}

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Problem 1298

Perform the indicated operation and reduce the answer to lowest terms.
1. 3x22x+110x+112x4\frac{3 x^{2}}{2 x+1} \cdot \frac{10 x+1}{12 x^{4}}

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Problem 1299

Polyanne, a hospital administrator, noticed a significant change in the weight of babies born at the hospital during the last few months. She randomly selected 20 babies born in the last month and found the weights. Historically, the weight of babies born at the hospital is normally distributed with a population mean weight of 7.63 pounds and a population standard deviation of 1.02 pounds. To test the weights, Polyanne decided to use the historical standard deviation as the population standard deviation. The hospital administrator conducts a one-mean hypothesis at the 5%5 \% significance level, to test if there was a change in the weight of babies being born at the hospital in the last few months from 7.63 pounds. (a) Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below: H0:μ=7.63;Ha:μ>7.63H_{0}: \mu=7.63 ; H_{a}: \mu>7.63, which is a right-tailed test. H0:μ=1.02;Ha:μ<1.02H_{0}: \mu=1.02 ; H_{a}: \mu<1.02, which is a left-tailed test. H0:μ=1.02;Ha:μ1.02H_{0}: \mu=1.02 ; H_{a}: \mu \neq 1.02, which is a two-tailed test. H0:μ=7.63;Ha:μ7.63H_{0}: \mu=7.63 ; H_{a}: \mu \neq 7.63, which is a two-tailed test.

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Problem 1300

Question
Perform the operation and reduce the answer fully. 43+92\frac{4}{3}+\frac{9}{2}

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