Expression

Problem 9101

Factor the given factor from the expression. $\begin{array}{l} x^{\frac{1}{9}} ; x^{\frac{2}{9}}-5 x^{\frac{1}{9}} \\ x^{\frac{2}{9}}-5 x^{\frac{1}{9}}=\square \end{array}$ $\square$ (Type your answer in factored form. Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)

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Problem 9102

To test $H_{0}: \mu=100$ versus $H_{1}: \mu \neq 100$ , a simple random sample size of $n=20$ is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail. (a) If $\bar{x}=105.3$ and $s=8.3$ , compute the test statistic. $\mathrm{t}=$ $\square$ (Round to three decimal places as needed.)

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Problem 9103

$\int \tan ^{5} 3 x \sec ^{4} 3 x d x$

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Problem 9104

b) $(-27)^{\frac{-1}{3}}$

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Problem 9105

```latex \text{Given:} \triangle OFG \text{ is a right triangle at } O, \text{ where } OF = 4 \text{ cm and } OG = 3 \text{ cm. Let } M \text{ be the midpoint of } GO, \text{ and let } H \text{ be the reflection of } F \text{ with respect to } AM. \text{ Draw the figure accurately.}
\text{1. What type of quadrilateral is } OFGH? \text{ Justify your answer.}
\text{2. Prove that line } AL \text{ is perpendicular to } GO \text{ at } M \text{ and intersects } GF \text{ at point } L. \text{ Show that } L \text{ is the midpoint of } GF.
\text{3. Calculate the length of } ML.
\text{4. Draw accurately the circumcircle of } \triangle OFG. ```

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Problem 9106

Expand the following (a) $(2 x-3)(4 x+1)$

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Problem 9107

Бодлого, дасгал
1. a) $\sqrt{3}$ б) $\sqrt{5}$
2. a) $1+\sqrt{2}$ в) $\sqrt{7}$ тоонууд иррационал тоо гэж батал.

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Problem 9108

Unit 4 Retest Question 1 of 30 (1 point) | Question Attempt: 1 of 1 1 2 3 4 5. 6 7
Divide. $\left(20 x^{3}+13 x^{2}+15 x^{4}+12+5 x\right) \div\left(-5 x^{2}-1\right)$
Write your answer in the following form: Quotient $+\frac{\text { Remainder }}{-5 x^{2}-1}$ . $\frac{20 x^{3}+13 x^{2}+15 x^{4}+12+5 x}{-5 x^{2}-1}=\square+\frac{\square}{-5 x^{2}-1}$

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Problem 9109

Factor completely. $-3 u^{2}+19 u+14$

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Problem 9110

Factor. 2 81x² - 36xw+4w² Π X

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Problem 9111

3 1 \longdiv { 1 3 0 }

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Problem 9112

Write down the perimeter as an expression

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Problem 9113

Factor. $x^{2}+13 x y+36 y^{2}$

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Problem 9114

GENERAL MATHEMATICS Long Quiz S.Y. 2024 - 2025
1. What do we call the monetary charge for the amount we borrow? d. Time a. Interest b. Final amount c. Principal 11
2. What do we call the accumulated amount after an interest rate is being applied in a specified year? a. Interest b. Final amount c. Principal d. Time
3. How many compounding periods does a bimonthly have? c. 12 a. 2 b. 6
4. What is periodic interest rate does a $9 \%$ compounded quarterly? d. 24 a. 9 b. 18
5. What is the final value if principal is 4,500 , time is 2 years, and interest rate is $6 \%$ ? d. 45 a. 5,040 b. 5,400 c. 9,000 d. 50,400 d. $46,332.55$ a. $46,232.55$ b. $46,233.55$ a. $219,291.76$ b. $219,291.67$ c. 219219.67 d. $219,291.76$
8. What is the interest for the item \#5? c. 540 d. 5400 a. 900 b. 4500 d. 832.55
9. What is the interest for the item \#6? c. 823.55 a. 732.55 b. 733.55 d. 29,291.76
10. What is the interest for the item \#7? c. 29219.67 a. $29,291.76$ b. $29,291.67$ d. $76 \%$ c. $67 \%$ d. 5.3 years

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Problem 9115

Factor completely: $3 v^{4} x^{3}-48 x^{3}$

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Problem 9116

6. What is the coefficient of $x^{13}$ in the expression $\left(\sqrt{x}-\frac{1}{x^{4}}\right)^{89}$ .

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Problem 9117

$-4(-4 d+5)$
1 2 $\square$ $16 d+-20$ $16 s-20$ $16+20$ $-16 d+20$

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Problem 9118

Fill in the blank. The expression $\frac{x^{2}+2}{2+x^{2}}$ simplifies to $\qquad$
The expression $\frac{x^{2}+2}{2+x^{2}}$ simplifies to $\square$

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Problem 9119

Which expression is equivalent to $\left(2^{\frac{1}{2}}-2^{\frac{3}{4}}\right)^{2}$ ? $\sqrt[4]{2^{3}}$ $\sqrt{2^{5}}$ $\sqrt[4]{4^{3}}$ $\sqrt{4^{5}}$

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Problem 9120

Simplify this expression. $(\sqrt{2}+\sqrt{3})(\sqrt{5}-\sqrt{7})$ $\sqrt{5}+\sqrt{-2}$ $\sqrt{10}+\sqrt{15}-\sqrt{14}-\sqrt{21}$ $2 \sqrt{5}-2 \sqrt{7}$ $2 \sqrt{5}+3 \sqrt{5}-2 \sqrt{7}-3 \sqrt{7}$

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Problem 9121

c) $\lim _{x \rightarrow \infty} x^{4} e^{-3 x}=$

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Problem 9122

Simplify this radical. $\sqrt{x^{13}}$ $13 \sqrt{x}$ $6 x \sqrt{x}$ $x \sqrt{x^{12}}$ $x^{6} \sqrt{x}$

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Problem 9123

Which is the rationalized form of the expression $\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}$ ? a. $\frac{x-\sqrt{7 x}}{x-7}$ c. $\frac{x+\sqrt{7 x}}{x-7}$ b. $\frac{\sqrt{7 x}}{7}$ d. $\frac{x}{x+7}$

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Problem 9124

What is $\sqrt{x^{5} y^{6}}$ expressed in simplified form? $x^{2} y \sqrt{x}$ $x^{2} y^{2} \sqrt{x y}$ $x y \sqrt{x y}$ $x^{2} y^{3} \sqrt{x}$

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Problem 9125

10. What is the imaginary part of the complex number $7-5 i$ ? a. 7 b. -5 c. 5 d. 0 a b C d not given

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Problem 9126

20. Which complex number lies on the imaginary axis? a. $4+0 i$ b. $0+3 i$ c. $-2+2 i$ d. $1-i$ a b C d not given

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Problem 9127

4 1 \longdiv { 2 6 0 } (16) 4 1 \longdiv { 2 8 0 }

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Problem 9128

Givide 4 1 \longdiv { 2 8 5 } (5) 41) 306 4 1 \longdiv { 2 9 0 } 4 1 \longdiv { 3 1 0 } (7) 4 1 \longdiv { 2 9 5 } 41) 315 (8) 41) 320

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Problem 9129

Simplify $\frac{3}{\sqrt{6}}$ .

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Problem 9130

(9) (I3) 4 1 \longdiv { 3 2 5 } 4 1 \longdiv { 3 5 0 } (10) 4 1 \longdiv { 3 3 0 } (14) 4 1 \longdiv { 3 6 0 } (II) 4 1 \longdiv { 3 3 5 } (I5) 4 1 \longdiv { 3 7 0 } (12) (16) 4 1 \longdiv { 3 4 0 } 4 1 \longdiv { 3 8 0 }

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Problem 9131

\begin{tabular}{|l|l|} \hline & \\ \hline 1 & $\int_{0}^{3} x^{3} d x$ \\ \hline \end{tabular}

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Problem 9132

(2) 3 1 \longdiv { 7 8 } (6) (3) 3 1 \longdiv { 8 8 } (7) 3 1 \longdiv { 1 0 0 } $\qquad$ - (4) (8) 3 1 \longdiv { 9 0 } 3 1 \longdiv { 1 1 5 }

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Problem 9133

(9) 3 1 \longdiv { 1 3 0 } (I3) 3 1 \longdiv { 1 7 0 } (10) 3 1 \longdiv { 1 4 5 } (14) 3 1 \longdiv { 1 8 0 } (II) 3 1 \longdiv { 1 5 5 } (15) 3 1 \longdiv { 1 9 0 } (12) 3 1 \longdiv { 1 6 0 } (16) 3 1 \longdiv { 2 0 0 }

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Problem 9134

Evaluate: $\left.+5^{2}-8^{3}\right]^{0}+\left(5^{26}\right)\left(125^{-8}\right)-$ (Enter a value/number)

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Problem 9135

16 \text{ Verschiedene Grundstücke unterscheiden sich nur durch die Länge einer Strecke } x. \text{ Judith, Pia, Cem und Lukas haben Terme für den Flächeninhalt der Grundstücke in } \mathrm{m}^{2} \text{ notiert.}
\text{Judith: } 11,4 \cdot x-4,3 \cdot(x-9,9)
\text{Cem: } 9,9 \cdot 11,4+(x-9,9) \cdot 7,1
\text{Pia: } 9,9 \cdot 4,3+9,9 \cdot 7,1+7,1 \cdot(x-9,9)
\text{Lukas: } 9,9 \cdot 4,3+x \cdot 7,1
\text{a) Gib an, welcher Term zu welcher Zeichnung gehört. Begründe deine Entscheidung.}
\text{b) Gib einen Term für den Umfang des Grundstücks an und berechne, für welchen Wert von } x \text{ der Umfang 52 m beträgt.}

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Problem 9136

Simplify. Assume all variables are positive. $r^{\frac{12}{7}} \cdot r^{-\frac{8}{7}}$
Write your answer in the form $A$ or $\frac{A}{B^{\prime}}$ where $A$ and $B$ are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. $\square$ Submit
Work it out Not feeling ready yet? These can help: here to search

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Problem 9137

A circle with a diameter of 16 yd is shown. Answer the parts below. Make sure you use the correct units in your answers. If necessary, refer to the list of geometry formulas. (a) Find the exact circumference of the circle. Write your answer in terms of $\pi$ . Exact circumference: $\square$ (b) Using the ALEKS calculator, approximate the circumference of the circle.
To do the approximation, use the $\pi$ button on the calculator, and round your answer to the nearest hundredth.
Approximate circumference: $\square$

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Problem 9138

A swimming pool has a volume of $213 \mathrm{yd}^{3}$ . Use the table of conversion facts to find out how many gallons of water it would take to completely fill the swimming pool.
Round your answer to two decimal places. $\square$ gal
Conversion facts for volume and capacity 1 cubic yard $\left(\mathrm{yd}^{3}\right) \approx 201.97$ gallons (gal) 1 cubic foot $\left(\mathrm{ft}^{3}\right) \approx 7.48$ gallons ( gal) 231 cubic inches $\left(\right.$ in $\left.^{3}\right)=1$ gallon (gal) Note that $\approx$ means "is approximately equal to". For this problem, treat $\approx$ as if it were $=$ .

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Problem 9139

5. Ermitteln Sie die zwei fehlenden trigonometrischen Funktionswerte desselben Winkels (ohne Verwendung des Taschenrechners). sa. $\sin \alpha=-40 / 41, \alpha \in$ QIII bb. $\cos \alpha=-0,4,180^{\circ}<\alpha<270^{\circ}$ c. $\tan \alpha=0,75, \alpha \in Q$ I d. $\sin \alpha=1 / 2 \cdot \sqrt{2}, 90^{\circ}<a<180^{\circ}$

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Problem 9140

Simplify $(2+3)^{2}-16 \div 2$ .
The solution is

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Problem 9141

Question Video Examples
A cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

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Problem 9142

- 37,500 m² - $0.0375 \mathrm{~m}^{2}$ - $0.0000375 \mathrm{~m}^{2}$ - $37,500,000 \mathrm{~m}^{2}$

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Problem 9143

$\int_{1}^{2} \frac{1}{x^{5}} d x$

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Problem 9144

Algebra 1 W. 5 Add polynomials to find perimeter BAS Video Questions answered
Find the perimeter. Simplify your answer. 38 Time clapsed 00 34 16 HR M N जह SmartScore out of 100 5ミх $\square$ Submit
Work it out Not feeling ready yet? These can help: Add and subtract like terms Lesson: Simplifying expressions 10:09 AM 12/2/2024

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Problem 9145

Find the perimeter of the figure pictured below.
Perimeter: $\square$ Submit Question

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Problem 9146

Exercise 3. Compute the following integrals by substitution: (a) $\int \frac{1}{\sqrt{4-x}} d x$ (g) $\int \sin ^{7}(x) \cos (x) d x$ (b) $\int \frac{e^{x}}{\sqrt{e^{x}+1}} d x$ (h) $\int \frac{e^{x} \tan \left(e^{x}\right)}{\cos ^{2}\left(e^{x}\right)} d x$ (c) $\int \frac{e^{x}}{\sqrt{e^{x}+1}} d x$ (i) $\int \sin (2 x)\left(1+\cos ^{2}(x)\right) d x$ (d) $\int \frac{1}{x \log (x)} d x$ (j) $\int \frac{\sin (x)}{2+\cos (x)} d x$ (e) $\int \frac{\log ^{3}(x)+3 \log (x)-\sqrt{2}}{x} d x$ (k) $\int \frac{x}{1+x^{4}} d x$ (f) $\int \frac{\sin (2+\sqrt{x})}{3 \sqrt{x}} d x$

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Problem 9147

$\int_{-\pi}^{2 \pi} \sin 3 x d x$

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Problem 9148

Use a calculator or a computer to evaluate the definite integral.
Round your answer to four decimal places. $\int_{-5}^{5}\left(e^{-t^{2}}\right) d t=$

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Problem 9149

Assume $X$ has a normal distribution $N\left(9,5^{2}\right)$ . Find $E(5 X-4)^{2}$
Answer: $\square$

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Problem 9150

Find (a) $\sin \theta$ , (b) $\cos \theta$ , and (c) $\tan \theta$ for the given quadrantal angle. $11 \pi$ (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\sin (11 \pi)=$ $\square$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The answer is undefined.

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Problem 9151

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

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Problem 9152

$7 \quad \int_{-2}^{-1}\left(6 x^{2}+2 x-10\right) d x$

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Problem 9153

Let $p$ and $q$ be the following statements. $p$ : The bake sale is on Saturday. $q$ : Ahmad will make cookies. Consider this argument. Premise 1: If the bake sale is on Saturday, then Ahmad will make cookies. Premise 2: The bake sale is on Saturday. Conclusion: Therefore, Ahmad will make cookies. (a) Write the argument in symbolic form.
Premise 1: p $q$ Premise 2: Conclusion: $\square$

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Problem 9154

Heli invested $\$ 10,000$ in a $401(k)$ account. After 8 years, the account was worth $\$ 13,900$ .
What was Heli's return on investment? Round to the nearest tenth of a percent, if necessary. $4.9 \%$ $28 \%$ $39 \%$ $3.5 \%$

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Problem 9155

Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{3 n^{2}+n}-\sqrt{3 n^{2}-5 n}$

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Problem 9156

Evaluate the expression below if $x=-1$ and $y=3$ $3 x^{2}-y^{2}$ 1 Pt A B C
A -6 B 6 C -12
D 22

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Problem 9157

$\frac{\sqrt{81}}{\sqrt[3]{8} \sqrt{36}}$

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Problem 9158

$\sqrt[4]{\frac{1}{x^{4}}+\frac{9 x+6}{x^{3}}}$

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Problem 9159

8. Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{n^{4}+n^{2}}-\sqrt{n^{4}-5 n^{2}+n}$
ANS:

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Problem 9160

Use the polynomial to answer the questions: $-23 x^{7}+x^{9}-6 x^{3}+10+2 x^{2}$
What is the degree of the polynomial?
What is the leading coefficient of the polynomial? $\square$

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Problem 9161

$\int_{0}^{1} x \sqrt{10-x^{2}} d x$

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Problem 9162

Answer the following. (a) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $1170^{\circ}$ . (b) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{17 \pi}{10}$ .
Give exact values for your answers. (a) $\square$ 。 (b) $\square$ radians

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Problem 9163

9. Calculate the value of the following limit: $\lim _{n \rightarrow \infty}\left(\sin ^{n}(\pi / 6)+\sin ^{n}(\pi / 3)+\sin ^{n}(\pi / 2)\right)^{1 / n}$

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Problem 9164

Given that $\triangle C A R \cong \triangle P E T$ , which of the following must be true? $\angle C \cong \angle P$ $\overline{R A} \cong \overline{T P}$ Two of these $\overline{C R} \cong \overline{E T}$

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Problem 9165

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

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Problem 9166

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

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Problem 9167

$L=\frac{6.5 \times 12-6}{3 \times(15.2-7.2)}-3$

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Problem 9168

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

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Problem 9169

Simplify the expression without using a calculator. $\ln e^{a^{2}+8}=$ $\square$ n口 $e$

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Problem 9170

Factor $y^{3}-5 y^{2}+6 y-30$ completely. $y^{3}-5 y^{2}+6 y-30=$

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Problem 9171

8. Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{n^{4}+n^{2}}-\sqrt{n^{4}-5 n^{2}+n}$

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Problem 9172

Which pair of binomials matches the given polynomial? $25 a^{2}+70 a b+49 b^{2}$ $(5 a+7)(5 a+b)$ $(5 a+7)(5 a-b)$ $(5 a+7 b)(5 a+7 b)$ $(5 a+7)(5 a+5 b)$

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Problem 9173

Simplify the expression without using a calculator. $\log _{5} 5^{14}=$ $\square$ $\square \log _{\square}$

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Problem 9174

Simplify the expression without using a calculator. $\log _{\frac{1}{2}}\left(\frac{1}{128}\right)=$ $\square$ $\square \log _{\square} \square$

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Problem 9175

8. Calculate the value of the following limit:
ANS: $\qquad$ $\lim _{n \rightarrow \infty} \sqrt{n^{4}+n^{2}}-\sqrt{n^{4}-5 n^{2}+n}$
ANS:

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Problem 9176

$1 / 20$
Find an equivalent kifaction: 24/6

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Problem 9177

Simplify the expression without using a calculator. $\ln e^{6}=$

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Problem 9178

9. Calculate the value of the following limit: $\lim _{n \rightarrow \infty}\left(\sin ^{n}(\pi / 6)+\sin ^{n}(\pi / 3)+\sin ^{n}(\pi / 2)\right)^{1 / n}$

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Problem 9179

Simplify the expression without using a calculator. $\log _{9}\left(\frac{1}{81}\right)=$ $\square$ $\square$

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Problem 9180

For Ecercises 29-32, find the exeact value. (31) $2 \cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)-\tan ^{-1} \frac{\sqrt{3}}{3}$

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Problem 9181

What is $x^{2}-49$ factored completely? A. $(x+7)(x-7)$ B. $(7 x+1)(7 x-1)$ C. $(x-7)^{2}$ D. $(7 x-1)^{2}$

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Problem 9182

The math department at your school is giving away a graphing calculator as a prize to celebrate math month. There are 800 students at the school. There are 240 freshmen, 207 sophomores and the remaining students are juniors and seniors.
If a student is chosen at random, what is the probablity that the student is not a freshmen?

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Problem 9183

Simplify the expression without using a calculator. $\log _{2} 2=$ $\square$ $\square \log _{8} \square$

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Problem 9184

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

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Problem 9185

A patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as $500 \mathrm{mg} / 5 \mathrm{~mL}$ .
You will administer $\qquad$ mL to the patient per dose? $\square$ A

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Problem 9186

1. $\frac{2-4 \times 3}{5-7}$

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Problem 9187

Multiply. $\frac{2}{3} \times \frac{4}{7}$

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Problem 9188

(b) $\int \frac{5}{(x+2)\left(x^{2}+1\right)} d x$ .

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Problem 9189

Convert the fraction below to a mixed number. Be sure to simplify the fraction portion as much as possible. Fraction to change: $\frac{14}{4}$
Whole Number: Numerator: $\square$ Denominator: $\square$ Gonfirm
TYPE YOUR ANSWER AND CLICK ON CONFIRM. Activa Go to Se

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Problem 9190

$\int_{4}^{5} x \sqrt{x^{2}-16} d x$

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Problem 9191

11. Write each radical in simplest form, if possible, a) $\sqrt[3]{16}$ b) $\sqrt[3]{81}$ c) $\sqrt[3]{256}$ d) $\sqrt[3]{128}$ e) $\sqrt[3]{60}$ f) $\sqrt[3]{192}$ $3 \sqrt{135}$ h) $\sqrt[3]{100}$

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Problem 9192

How many radians is $100^{\circ}$ ? (Give the exact answer in simplest forr \begin{tabular}{|c|} \hline Answer \\ \hline radians \\ \hline \end{tabular}

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Problem 9193

Suppose that ${ }^{O}$ partners equally share the profits from a sale of $\$ 3,600$ . Which algebraic expression represents this situation? $3600+0$ $3600-p$ 3600p $\frac{3600}{p}$

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Problem 9194

Factor the polynomial completely. $\begin{array}{l} P(x)=x^{2}+49 \\ P(x)=\square \end{array}$ $\square$ Find all its zeros. State the multiplicity of each zero. (Order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.) $x=$ $\square$ with multiplicity $x=$ $\square$ with multiplicity $\square$

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Problem 9195

Convert the mixed numeral below to a fraction. Mixed numeral to change: $4 \frac{5}{6}$ Numerator: $\square$ Denominator: $\square$ Gonfirm

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Problem 9196

\#2) Convert ints mixed fractions a) $\frac{19}{5}$ b) $\frac{19}{4}$ c) $\frac{39}{8}$

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Problem 9197

Simplify $5 r+4 p-8 r+6$

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Problem 9198

Sophia's dog just had puppies! She decides to spend $3 / 4$ of her day playing with them. If she usually spends $2 / 5$ of her day doing homewôrk, what fraction of her day is she spending on both puppies and homework combined?
Step 1 Multiplying your fraction

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Problem 9199

Найди площадь треугольника MNK, если $\mathrm{MN}=25$ дм, $\mathrm{MK}=330$ см, а угол M равен $30^{\circ}$ 。
Запиши ответ числом. $\mathrm{S}=\square \mathrm{qм}^{2}$

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Problem 9200

What is the greatest common factor of 2 and 5 ? $\square$

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1 ...89 90 91 92 93 94 95 ...144

Expression

Problem 9101

Problem 9102

Problem 9103

∫tan⁡53xsec⁡43xdx\int \tan ^{5} 3 x \sec ^{4} 3 x d x∫tan53xsec43xdx

Problem 9104

b) (−27)−13(-27)^{\frac{-1}{3}}(−27)3−1​

Problem 9105

Problem 9106

Expand the following (a) (2x−3)(4x+1)(2 x-3)(4 x+1)(2x−3)(4x+1)

Problem 9107

Бодлого, дасгал1. a) 3\sqrt{3}3​ б) 5\sqrt{5}5​2. a) 1+21+\sqrt{2}1+2​ в) 7\sqrt{7}7​ тоонууд иррационал тоо гэж батал.

Problem 9108

Problem 9109

Factor completely. −3u2+19u+14-3 u^{2}+19 u+14−3u2+19u+14

Problem 9110

Factor. 2 81x² - 36xw+4w² Π X

Problem 9111

3 1 \longdiv { 1 3 0 }

Problem 9112

Write down the perimeter as an expression

Problem 9113

Factor. x2+13xy+36y2x^{2}+13 x y+36 y^{2}x2+13xy+36y2

Problem 9114

Problem 9115

Factor completely: 3v4x3−48x33 v^{4} x^{3}-48 x^{3}3v4x3−48x3

Problem 9116

6. What is the coefficient of x13x^{13}x13 in the expression (x−1x4)89\left(\sqrt{x}-\frac{1}{x^{4}}\right)^{89}(x​−x41​)89.

Problem 9117

−4(−4d+5)-4(-4 d+5)−4(−4d+5)1 2 □\square□ 16d+−2016 d+-2016d+−20 16s−2016 s-2016s−20 16+2016+2016+20 −16d+20-16 d+20−16d+20

Problem 9118

Fill in the blank. The expression x2+22+x2\frac{x^{2}+2}{2+x^{2}}2+x2x2+2​ simplifies to \qquadThe expression x2+22+x2\frac{x^{2}+2}{2+x^{2}}2+x2x2+2​ simplifies to □\square□

Problem 9119

Which expression is equivalent to (212−234)2\left(2^{\frac{1}{2}}-2^{\frac{3}{4}}\right)^{2}(221​−243​)2 ? 234\sqrt[4]{2^{3}}423​ 25\sqrt{2^{5}}25​ 434\sqrt[4]{4^{3}}443​ 45\sqrt{4^{5}}45​

Problem 9120

Problem 9121

c) lim⁡x→∞x4e−3x=\lim _{x \rightarrow \infty} x^{4} e^{-3 x}=limx→∞​x4e−3x=

Problem 9122

Simplify this radical. x13\sqrt{x^{13}}x13​ 13x13 \sqrt{x}13x​ 6xx6 x \sqrt{x}6xx​ xx12x \sqrt{x^{12}}xx12​ x6xx^{6} \sqrt{x}x6x​

Problem 9123

Which is the rationalized form of the expression xx+7\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}x​+7​x​​ ? a. x−7xx−7\frac{x-\sqrt{7 x}}{x-7}x−7x−7x​​ c. x+7xx−7\frac{x+\sqrt{7 x}}{x-7}x−7x+7x​​ b. 7x7\frac{\sqrt{7 x}}{7}77x​​ d. xx+7\frac{x}{x+7}x+7x​

Problem 9124

What is x5y6\sqrt{x^{5} y^{6}}x5y6​ expressed in simplified form? x2yxx^{2} y \sqrt{x}x2yx​ x2y2xyx^{2} y^{2} \sqrt{x y}x2y2xy​ xyxyx y \sqrt{x y}xyxy​ x2y3xx^{2} y^{3} \sqrt{x}x2y3x​

Problem 9125

10. What is the imaginary part of the complex number 7−5i7-5 i7−5i ? a. 7 b. -5 c. 5 d. 0 a b C d not given

Problem 9126

20. Which complex number lies on the imaginary axis? a. 4+0i4+0 i4+0i b. 0+3i0+3 i0+3i c. −2+2i-2+2 i−2+2i d. 1−i1-i1−i a b C d not given

Problem 9127

4 1 \longdiv { 2 6 0 } (16) 4 1 \longdiv { 2 8 0 }

Problem 9128

Givide 4 1 \longdiv { 2 8 5 } (5) 41) 306 4 1 \longdiv { 2 9 0 } 4 1 \longdiv { 3 1 0 } (7) 4 1 \longdiv { 2 9 5 } 41) 315 (8) 41) 320

Problem 9129

Simplify 36\frac{3}{\sqrt{6}}6​3​.

Problem 9130

(9) (I3) 4 1 \longdiv { 3 2 5 } 4 1 \longdiv { 3 5 0 } (10) 4 1 \longdiv { 3 3 0 } (14) 4 1 \longdiv { 3 6 0 } (II) 4 1 \longdiv { 3 3 5 } (I5) 4 1 \longdiv { 3 7 0 } (12) (16) 4 1 \longdiv { 3 4 0 } 4 1 \longdiv { 3 8 0 }

Problem 9131

\begin{tabular}{|l|l|} \hline & \\ \hline 1 & ∫03x3dx\int_{0}^{3} x^{3} d x∫03​x3dx \\ \hline \end{tabular}

Problem 9132

(2) 3 1 \longdiv { 7 8 } (6) (3) 3 1 \longdiv { 8 8 } (7) 3 1 \longdiv { 1 0 0 } \qquad - (4) (8) 3 1 \longdiv { 9 0 } 3 1 \longdiv { 1 1 5 }

Problem 9133

(9) 3 1 \longdiv { 1 3 0 } (I3) 3 1 \longdiv { 1 7 0 } (10) 3 1 \longdiv { 1 4 5 } (14) 3 1 \longdiv { 1 8 0 } (II) 3 1 \longdiv { 1 5 5 } (15) 3 1 \longdiv { 1 9 0 } (12) 3 1 \longdiv { 1 6 0 } (16) 3 1 \longdiv { 2 0 0 }

Problem 9134

Evaluate: +52−83]0+(526)(125−8)−\left.+5^{2}-8^{3}\right]^{0}+\left(5^{26}\right)\left(125^{-8}\right)-+52−83]0+(526)(125−8)− (Enter a value/number)

Problem 9135

Problem 9136

Problem 9137

Problem 9138

Problem 9139

Problem 9140

Simplify (2+3)2−16÷2(2+3)^{2}-16 \div 2(2+3)2−16÷2.The solution is

Problem 9141

Question Video ExamplesA cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

Problem 9142

- 37,500 m² - 0.0375 m20.0375 \mathrm{~m}^{2}0.0375 m2 - 0.0000375 m20.0000375 \mathrm{~m}^{2}0.0000375 m2 - 37,500,000 m237,500,000 \mathrm{~m}^{2}37,500,000 m2

Problem 9143

∫121x5dx\int_{1}^{2} \frac{1}{x^{5}} d x∫12​x51​dx

Problem 9144

Problem 9145

Find the perimeter of the figure pictured below.Perimeter: □\square□ Submit Question

Problem 9146

$\int \tan ^{5} 3 x \sec ^{4} 3 x d x$

b) $(-27)^{\frac{-1}{3}}$

Expand the following (a) $(2 x-3)(4 x+1)$

Бодлого, дасгал
1. a) $\sqrt{3}$ б) $\sqrt{5}$
2. a) $1+\sqrt{2}$ в) $\sqrt{7}$ тоонууд иррационал тоо гэж батал.

Factor completely. $-3 u^{2}+19 u+14$

Factor. $x^{2}+13 x y+36 y^{2}$

Factor completely: $3 v^{4} x^{3}-48 x^{3}$

6. What is the coefficient of $x^{13}$ in the expression $\left(\sqrt{x}-\frac{1}{x^{4}}\right)^{89}$ .

$-4(-4 d+5)$
1 2 $\square$ $16 d+-20$ $16 s-20$ $16+20$ $-16 d+20$

Fill in the blank. The expression $\frac{x^{2}+2}{2+x^{2}}$ simplifies to $\qquad$
The expression $\frac{x^{2}+2}{2+x^{2}}$ simplifies to $\square$

Which expression is equivalent to $\left(2^{\frac{1}{2}}-2^{\frac{3}{4}}\right)^{2}$ ? $\sqrt[4]{2^{3}}$ $\sqrt{2^{5}}$ $\sqrt[4]{4^{3}}$ $\sqrt{4^{5}}$

c) $\lim _{x \rightarrow \infty} x^{4} e^{-3 x}=$

Simplify this radical. $\sqrt{x^{13}}$ $13 \sqrt{x}$ $6 x \sqrt{x}$ $x \sqrt{x^{12}}$ $x^{6} \sqrt{x}$

Which is the rationalized form of the expression $\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}$ ? a. $\frac{x-\sqrt{7 x}}{x-7}$ c. $\frac{x+\sqrt{7 x}}{x-7}$ b. $\frac{\sqrt{7 x}}{7}$ d. $\frac{x}{x+7}$

What is $\sqrt{x^{5} y^{6}}$ expressed in simplified form? $x^{2} y \sqrt{x}$ $x^{2} y^{2} \sqrt{x y}$ $x y \sqrt{x y}$ $x^{2} y^{3} \sqrt{x}$

10. What is the imaginary part of the complex number $7-5 i$ ? a. 7 b. -5 c. 5 d. 0 a b C d not given

20. Which complex number lies on the imaginary axis? a. $4+0 i$ b. $0+3 i$ c. $-2+2 i$ d. $1-i$ a b C d not given

Simplify $\frac{3}{\sqrt{6}}$ .

\begin{tabular}{|l|l|} \hline & \\ \hline 1 & $\int_{0}^{3} x^{3} d x$ \\ \hline \end{tabular}

(2) 3 1 \longdiv { 7 8 } (6) (3) 3 1 \longdiv { 8 8 } (7) 3 1 \longdiv { 1 0 0 } $\qquad$ - (4) (8) 3 1 \longdiv { 9 0 } 3 1 \longdiv { 1 1 5 }

Evaluate: $\left.+5^{2}-8^{3}\right]^{0}+\left(5^{26}\right)\left(125^{-8}\right)-$ (Enter a value/number)

Simplify $(2+3)^{2}-16 \div 2$ .
The solution is

Question Video Examples
A cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

- 37,500 m² - $0.0375 \mathrm{~m}^{2}$ - $0.0000375 \mathrm{~m}^{2}$ - $37,500,000 \mathrm{~m}^{2}$

$\int_{1}^{2} \frac{1}{x^{5}} d x$

Find the perimeter of the figure pictured below.
Perimeter: $\square$ Submit Question

$\int_{-\pi}^{2 \pi} \sin 3 x d x$

Use a calculator or a computer to evaluate the definite integral.
Round your answer to four decimal places. $\int_{-5}^{5}\left(e^{-t^{2}}\right) d t=$

Assume $X$ has a normal distribution $N\left(9,5^{2}\right)$ . Find $E(5 X-4)^{2}$
Answer: $\square$

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

$7 \quad \int_{-2}^{-1}\left(6 x^{2}+2 x-10\right) d x$

Heli invested $\$ 10,000$ in a $401(k)$ account. After 8 years, the account was worth $\$ 13,900$ .
What was Heli's return on investment? Round to the nearest tenth of a percent, if necessary. $4.9 \%$ $28 \%$ $39 \%$ $3.5 \%$

Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{3 n^{2}+n}-\sqrt{3 n^{2}-5 n}$

Evaluate the expression below if $x=-1$ and $y=3$ $3 x^{2}-y^{2}$ 1 Pt A B C
A -6 B 6 C -12
D 22

$\frac{\sqrt{81}}{\sqrt[3]{8} \sqrt{36}}$

$\sqrt[4]{\frac{1}{x^{4}}+\frac{9 x+6}{x^{3}}}$

8. Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{n^{4}+n^{2}}-\sqrt{n^{4}-5 n^{2}+n}$
ANS:

Use the polynomial to answer the questions: $-23 x^{7}+x^{9}-6 x^{3}+10+2 x^{2}$
What is the degree of the polynomial?
What is the leading coefficient of the polynomial? $\square$

$\int_{0}^{1} x \sqrt{10-x^{2}} d x$

9. Calculate the value of the following limit: $\lim _{n \rightarrow \infty}\left(\sin ^{n}(\pi / 6)+\sin ^{n}(\pi / 3)+\sin ^{n}(\pi / 2)\right)^{1 / n}$

Given that $\triangle C A R \cong \triangle P E T$ , which of the following must be true? $\angle C \cong \angle P$ $\overline{R A} \cong \overline{T P}$ Two of these $\overline{C R} \cong \overline{E T}$

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

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

$L=\frac{6.5 \times 12-6}{3 \times(15.2-7.2)}-3$

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

Simplify the expression without using a calculator. $\ln e^{a^{2}+8}=$ $\square$ n口 $e$

Factor $y^{3}-5 y^{2}+6 y-30$ completely. $y^{3}-5 y^{2}+6 y-30=$

8. Calculate the value of the following limit: $\lim _{n \rightarrow \infty} \sqrt{n^{4}+n^{2}}-\sqrt{n^{4}-5 n^{2}+n}$

Which pair of binomials matches the given polynomial? $25 a^{2}+70 a b+49 b^{2}$ $(5 a+7)(5 a+b)$ $(5 a+7)(5 a-b)$ $(5 a+7 b)(5 a+7 b)$ $(5 a+7)(5 a+5 b)$

Simplify the expression without using a calculator. $\log _{5} 5^{14}=$ $\square$ $\square \log _{\square}$

Simplify the expression without using a calculator. $\log _{\frac{1}{2}}\left(\frac{1}{128}\right)=$ $\square$ $\square \log _{\square} \square$