Browse Math Statement problems Studdy Solved!

Problem 20201

c. $(2-5 \sqrt{6})(6+\sqrt{8})$ $3 \sqrt{3}+6 \sqrt{3}-5 \sqrt{3}-\sqrt[3]{3}$ $2 \sqrt{3}$ $\sqrt{3}$ .
23 $\qquad$
3. Determine the value of $k$ such that $f(x)=3 x^{2}-12 x+7+k$ , has only one zel [3]

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Problem 20202

The solution to the equation $2|-5 x-3|=10 x+14$ is

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Problem 20203

$(E-500)(400)=927000$

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Problem 20204

Copy and complete the equation of line G below. $y=-x+-$

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Problem 20205

$M=\left[\left(\frac{-2}{3}\right)^{6} \times\left(\frac{2}{-3}\right)^{4}\right] \div\left(\frac{2}{3}\right)^{8}$
1. Verify that $\mathrm{M}=\frac{4}{9}$ .

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Problem 20206

$=\frac{1.33 \cdot 10^{24} \mathrm{ats}}{6.02 \cdot 10^{23}}$

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Problem 20207

$y=-x+3$ $b=3$
Use the given information to write the equation of each line in the form $y=m x+b$ . slope $=-3$ and $y$ -intercept $=4$ b.) $m=-5$ and $b=0$ $y=4-$ parallel to $y=6 x-1$ and $y$ -intercept $=-3$

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Problem 20208

Find the inverse of the function $f(x) = 4(2)^{3x} - 5$ .

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Problem 20209

Simplify the radical expression. $\sqrt{625 x^{15}}$
Write your answer in the form $\mathrm{A}, \sqrt{\mathrm{B}}$ , or $\mathrm{A} \sqrt{\mathrm{B}}$ , where A and B are constants or expressions in x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A . $\square$ Submit

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Problem 20210

Simplify the expression: $\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{-3} y^{2}}$

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Problem 20211

2. Solve the following quadratic functions by factoring. If needed, write answers in fraction form, using the " $/ /$ key as the fraction bar. $3 x^{2}+11 x+10=0$
The smaller of the two answers is: $\qquad$
The larger of the two answers is: $\qquad$

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Problem 20212

Find $f^{-1}(x)$ for $f(x)=\frac{1}{x^{3}}$ and state whether or not it is a function. a. $f^{-1}(x)=\frac{1^{3}}{\sqrt{x}}$ ; function c. $f^{-1}(x)=\frac{1}{\sqrt[3]{x}} ;$ function b. $f^{-1}(x)=\frac{-1}{\sqrt[3]{x}}$ ; not a function d. $f^{-1}(x)=\frac{1}{\sqrt[3]{x}}$ ; not a function

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Problem 20213

$=\frac{3.22 \cdot 10^{24}}{6.02 \cdot 10^{23}}=$

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Problem 20214

Given $g(x)=\frac{3}{x^{2}+2 x}$ find $g^{-1}(x)$ . a. $g^{-1}(x)=-1 \pm \sqrt{\frac{3}{x}+1}$ c. $g^{-1}(x)=1 \pm \sqrt{\frac{3}{x}-1}$ b. $g^{-1}(x)=-1 \pm \sqrt{\frac{\pi}{3}+1}$ d $g^{-1}(x)=-1 \pm \sqrt{\frac{3}{x^{2}}+1}$

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Problem 20215

$f(x)=\frac{3 x}{1-2 x}, \quad f^{-1}(x)=?$

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Problem 20216

BI
Evaluate the following. $1.5^{2} \div 5+0.8(61.7)$

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Problem 20217

$\int \sin ^{3} x \cos ^{2} x d x=$

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Problem 20218

Solve the following problem. $35 \%$ of what number is 56 ?
35\% of $\square$ is 56. (Type an integer or a decimal.)

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Problem 20219

Write the expression as a complex number in standard form: $(-2+5 i)(-1+4 i)$ $15-18 i$ $-18-13 i$ $-13-18 i$ $-18+13 i$

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Problem 20220

the ExpertTA.com Student: cristian.alvarez@ctstate.edu My Account Class Management I Help EXPERT Problem Status
HW7 Angular Motion Begin Date: 11/4/2024 12:01:00 AM Due Date: 11/22/2024 11:59:00 PM End Date: 12/13/2024 11:59:00 PM Problem 4: ( $25 \%$ of Assignment Value) A bowling ball of mass $m=2.4 \mathrm{~kg}$ drops from a height $h=14.4 \mathrm{~m}$ . A semi-circular tube of radius $r=6.2 \mathrm{~m}$ rests centered on a scale. Alvarez, Cristian - cristian.alvarez@ctstate.edu @theexpertta.com - tracking id: 8C84-EB-49-43-A913-26821. In accordance with Expert TA's Terms of Service, copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. Ctheexpertta.com
Part (a) Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement and $g$ . $W=$ $\square$ g 7 8 9 HOME 4 5 6 $\square$ 1 2 3 $\square$ 0 . END Grade Summary Deductions Potential Late Work \% Late Potential $10 \% \%$ $100 \%$ $78 \%$ $78 \%$ $\mathbf{7 8 \%}$ h m Submissions Attempt(s) Remaining: $5 \%$ Deduction per Attempt detailed view r - backspace DiE clear

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Problem 20221

Luas daerah yang dibatasi oleh kurva $y=\sin 2 x$ dan sumbu $X$ pada selang $0 \leq x \leq \frac{\pi}{3}$ adalah . . . .

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Problem 20222

Solve the equation: $\sqrt{2}(3 x-2 \sqrt{ } 2)=4 x+\sqrt{2}$
Give your answer in the form $\mathrm{p} \sqrt{2}+\mathrm{q}$ , where p and q are simplified fractions.

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Problem 20223

Status Complete Partial
Complete @theexperta.com - tracking id: 8C84-EB-49-43-A913-26821. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing may result in termination of your Expert TA Account. - Part (a)
What is the period of rotation of the Earth in seconds? $t=8.640 \times 10^{4}$ $\checkmark$ Correct! Part (b) What is the angular velocity of the Earth in rad/s? $\omega=$ $\square$

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Problem 20224

$44 \%$ of a number is equal to $51 \%$ of 660.
What is the number? Give any decima answers to 1 d.p.

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Problem 20225

Use the function below to answer the following questions. $p(x)=4^{x-4}-2$ (a) Use transformations of the graph of $y=4^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.

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Problem 20226

5 a) Bestimmen Sie jeweils eine Parameterform der $x_{1} x_{2}$ -Ebene, der $x_{1} x_{3}$ -Ebene und der $x_{2} x_{3}$ -Ebene (Fig. 1). b) Geben Sie zu der $x_{1} x_{2}$ -Ebene, der $x_{1} x_{3}$ -Ebene und der $x_{2} x_{3}$ -Ebene jeweils eine weitere Parametergleichung an. c) Erläutern Sie, wie man an einer Parametergleichung erkennen kann, ob sie eine der drei Koordinatenebenen beschreibt. - Test

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Problem 20227

9) $\sqrt{175 x^{4} y^{2} z^{2}}$ A) $10 y z \sqrt{x z}$ B) $5 x^{2} y z \sqrt{7}$ C) $2 x z \sqrt{2 x y}$ D) $12 x y z \sqrt{2 z}$

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Problem 20228

4. Assuming that $\operatorname{gcd}(a, b)=1$ , prove the following: (b) $\operatorname{gcd}(2 a+b, a+2 b)=1$ or 3 .

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Problem 20229

Solve using the substitution method. Use a graphing calcu lator to check your answer. 17. $\begin{array}{l} \text { 17. } x+y=9 \\ 2 x-3 y=-2 \\ \text { 19. } x-2 y=7 \\ x=y+4 \end{array}$ 21. $\begin{array}{l} y=2 x-6 \\ 5 x-3 y=16 \end{array}$ 23. $\begin{array}{l} x+y=3 \\ y=4-x \end{array}$ 25. $\begin{array}{l} x-5 y=4 \\ y=7-2 x \end{array}$ 27. $\begin{aligned} x+2 y & =2 \\ 4 x+4 y & =5 \end{aligned}$ 29. $\begin{array}{l} 3 x-y=5 \\ 3 y=9 x-15 \end{array}$ 18. $\begin{array}{r} 3 x-y=5 \\ x+y=\frac{1}{2} \end{array}$ 20. $\begin{array}{l} x+4 y=6 \\ x=-3 y+3 \end{array}$ 22. $\begin{array}{l} 3 x+5 y=2 \\ 2 x-y=-3 \end{array}$ 24. $\begin{array}{l} x-2 y=3 \\ 2 x=4 y+6 \end{array}$ 26. $\begin{array}{c} 5 x+3 y=-1 \\ x+y=1 \end{array}$ 28. $\begin{array}{l} 2 x-y=2 \\ 4 x+y=3 \end{array}$ 30. $\begin{array}{l} 2 x-y=7 \\ y=2 x-5 \end{array}$

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Problem 20230

Evaluate the polynomial function using Synthetic Division $\begin{array}{c} g(x)==-2 x^{4}-x^{3}+4 x-5 \\ \text { when } \mathrm{x}=-1 \end{array}$

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Problem 20231

Evaluate the polynomial function using Synthetic Division $\begin{array}{c} f(x)=5 x^{3}+3 x^{2}-x+7 \\ \text { when } x=2 \end{array}$

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Problem 20232

Prove the identity. $\sec ^{4} x \tan ^{6} x=\left(\tan ^{6} x+\tan ^{8} x\right) \sec ^{2} x$
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button the right of the Rule.
Statement $\sec ^{4} x \tan ^{6} x$ $\square$
Validate This line is incorrect.
Select the Rule
O Algebra Reciprocal Quotient Pythagorean Odd/Even

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Problem 20233

Given that $0 . \dot{6} \dot{3}=\frac{7}{11}$ , what is $0.0 \dot{6} \dot{3}$ as a fraction in its simplest form?

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Problem 20234

What is the $y$ -intercept for the function $y=2(x+3)(x-4)$ ?

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Problem 20235

c) $\log _{2} \sqrt[4]{8}$

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Problem 20236

Work out the value of $u$ when $16^{-6}=4^{u}$

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Problem 20237

Jse the information below to write $0.4 \dot{8} \dot{1}$ as a fraction in its simplest form. $\begin{array}{c} 0.4 \dot{8} \dot{i}=0.4+0.0 \dot{8} \dot{1} \\ 0.0 \dot{8} \dot{i}=\frac{9}{110} \end{array}$

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Problem 20238

Fill in each blank to construct an $\epsilon-\delta$ proof showing that $\lim _{x \rightarrow 7} 1-x=-6$
Where it asks for $\delta$ give the largest value that will work. Proof. Let ? $\quad \checkmark>0$ be given. Let $\delta$ be the product $\delta=($ $\square$ ) $(\epsilon)$
If | $x-$ $\square$ $1<?$ $\square$ then after some algebra we arrive at $\mid(1-x)-$ $\square$ $1<$ ? which is what we wanted to prove. Note: You can eam partial credit on this problem.

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Problem 20239

$f(x)=\frac{3 x^{2}-8 x+6}{x^{2}-4 x+3}$
Use Key Idea 4 (pp.152-3 in APEX Calculus) by applying the principles to the given function.
1. Determine the domain of $f$ . (as an interval) $\square$
2. Find the critical values of $f$ . $\square$ (Separate multiple answers by commas.)
3. Find the possible points of inflection of $f(x$ -values only). Note: Use your graphing calculator to approximate the value to least 4 decimal places. $\square$ (Separate multiple answers by commas.)
4. Find the vertical asymptotes. $x=$ $\square$ (Separate multiple answers by commas.)
5. Find the horizontal aymptotes. $y=$ $\square$ (Separate multiple answers by commas.)
6. Use a number line analysis to complete the following. $f$ is increasing on: $\square$ (as an interval) $f$ is decreasing on: $\square$ (as an interval) $f$ is concave up on: $\square$ (as an interval) $f$ is concave down on: $\square$ (as an interval)
7. Evaluate $f$ at each critical point and possible point of inflection. List all such points below. Each point should be entered as an ordered pair (that is, in the form $(x, y)$ ). $\square$ Note: You can earn partial credit on this problem. (Separate multiple answers by commas.)

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Problem 20240

Factor the following expression completely in order to fill in the $8 x^{2}-32$ $\begin{array}{l} A(B x+C)(D x-E) \\ A= \\ B= \\ C= \\ D= \\ E= \end{array}$
Note: Your answers should be integers.

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Problem 20241

16. [-/1 Points] DETAILS MY NOTES SPRECALC8 6.2.
Evaluate the expression without using a calculator. $\left(\cos \left(45^{\circ}\right)\right)^{2}-\left(\sin \left(45^{\circ}\right)\right)^{2}$ $\square$

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Problem 20242

$\frac{10 x+3}{5 x+6}=\frac{1}{2}$

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Problem 20243

Height of a Ball = The height $y$ (in feet) of a punted football is approximated by $y=\frac{-16}{2025} x^{2}+\frac{9}{5} x+\frac{3}{2}$ where $x$ is the horizontal distance (in feet) from where the football is punted. a.) Sketch a graph of this situation. b.) What is the height of the football when the punter punts the ball from the starting point? How do you know? Label on the graph in (a). c.) What is the horizontal distance from the starting point that the football reaches its maximum height? How do you know? Label on the graph in (a). d.) What is the maximum height the football reaches? How do you know? Label on the graph in (a). e.) Use a graphing device to graph the path of the football and determine how far from the punter does the football strike the ground? How do you know? Label on the graph in (a). f.) Graph the path of the football accurately on a piece of graph paper. Label axes appropriately and label key points from b-e above.

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Problem 20244

Find the $y$ -intercept(s) and $x$ -intercept(s) of the graph of the following. $25 x^{2}+81 y^{2}=1$

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Problem 20245

If $a_{7}=\frac{704}{81}$ and $r=-\frac{2}{3}$ , find $a_{11}$

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Problem 20246

Simplify the expression without using a calculator. $\log _{\sqrt{6}} 1=$ $\square$ $\square$

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Problem 20247

Give the equation of the circle centered at the origin and passing through the point $(0,-9)$ .

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Problem 20248

15. Divide the complex numbers. Write the answer in the form $a+b i$ . $\frac{1-9 i}{2-8 i}$

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Problem 20249

$=1$ $=2$ $=3$ 4 5 6 7 8 9
Write the domain in Interval notation. $g(x)=\log (3-x)$
The domain is $\square$ .

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Problem 20250

Write the following expression as a logarithm of a single expression. $\log 55+\log \frac{1}{11}$
Write a logarithm of a single expression that is equivalent to $\log 55+\log \frac{1}{11}$ . $\square$ (Simplify your answer. Type an exact answer.)

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Problem 20251

Solve $\log _{2}(x+2)=2-\log _{2}(x-5)$

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Problem 20252

4. Simplify the expression. $|28.1-7.03|-|3.5 \cdot 4.1|+|-9|$

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Problem 20253

Let $f(x)=6 x+5$ and $g(x)=2 x-7$ . Find $(f+g)(x),(f-g)(x),(f g)(x),\left(\frac{f}{g}\right)(x),(f \circ g)(x)$ , and $(g \circ f)(x)$ . Give the domain of each. $(f+g)(x)=8 x-2$ (Simplify your answer.) The domain of $f+g$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) $(\mathrm{f}-\mathrm{g})(\mathrm{x})=\square$ (Simplify your answer.)

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Problem 20254

$(\csc x-\cot x)^{2}=\frac{1-\cos x}{1+\cos x}$

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Problem 20255

$\frac{1}{4}+2$

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Problem 20256

17. $\log (4 x+3)+\log (5)=2$
18. $\ln (4 x-1)-1=\ln (3)$
19. $\ln \left(x^{2}+3\right)=\ln (x+2)+\ln 4$
20. $\log (x+28)-\log (x+3)=\log (x+4)$

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Problem 20257

$\frac{7}{3} \cdot 0$

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Problem 20258

25. Let $\varphi: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}, \psi: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$ be linear mapping fulfilling $\varphi((1,1,1))=(3,7), \varphi((1,1,0))=$ $(2,5), \varphi((1,0,0))=(1,6)$ and $\psi((2,2,1))=(3,3), \psi((2,1,0))=(5,0), \psi((2,1,1))=$ $(4,2)$ . Find a formula for $\varphi+\psi$ .

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Problem 20259

26. Consider a linear mapping $\varphi: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$ given by the formula $\varphi\left(\left(x_{1}, x_{2}, x_{3}\right)\right)=$ $\left(x_{1}-x_{2}+4 x_{3},-3 x_{1}+8 x_{3}\right)$ . Let $\mathcal{A}=\{(3,4,1),(2,3,1),(5,1,1)\}, \mathcal{B}=\{(3,1),(2,1)\}$ . Find $M(\varphi)_{\mathcal{A}}^{\mathcal{B}}$ and $M(\varphi)_{\mathrm{st}}^{\mathrm{st}}$ (matrices of $\varphi$ in the bases $\mathcal{A}, \mathcal{B}$ and in the standard bases

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Problem 20260

Remainder, Factor, and Rational Root Theorems
1. Use the Remainder Theorem to find the remainder when $f(x)=x^{3}-6 x^{2}+11 x-6$ is divided by $x-2$

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Problem 20261

ii. $\lim _{x \rightarrow 0^{+}}(1+4 x)^{\cot x}$

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Problem 20262

Factor the trinomial. $x^{2}+10 x+21$
Select the correct choice below and fill in any answer boxes within your choice. A. $x^{2}+10 x+21=$ $\square$ (Simplify your answer. Factor completely.) B. The trinomial is not factorable.

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Problem 20263

A particle is moving with the given data. Find the position function of the particle. $v(t)=\sin t-\cos t, \quad s(0)=3$

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Problem 20264

Question 2
Factor $15 w^{6}+5 w^{4}$ .

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Problem 20265

Write a balanced nuclear equation for the following: The nuclide bismuth-214 undergoes alpha emission. Not submitted

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Problem 20266

Simplify the following expression completely. $\frac{x^{2}-9 x+14}{x^{2}+2 x-8}$

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Problem 20267

Listen
The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval. $v(t)=10 t-10,0 \leq t \leq 5$

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Problem 20268

Find $\sin (2 x), \cos (2 x)$ , and $\tan (2 x)$ from the given information. $\begin{array}{l} \cos (x)=\frac{15}{17}, \quad \csc (x)<0 \\ \sin (2 x)=\square \\ \cos (2 x)=\square \\ \tan (2 x)=\square \end{array}$

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Problem 20269

Question Watch Video Show Exar
Solve for $x$ , rounding to the nearest hundredth. $12 \cdot 10^{\frac{x}{4}}=43$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer Sign out Dec 4 $D \cong$ ㄴ

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Problem 20270

Given that $\log x=2, \log y=7$ , and $\log 4 \approx 0.6$ , evaluate the following expression without using a calculator. $\log \left(4 x^{2} y\right)$ $\log \left(4 x^{2} y\right) \approx$ $\square$ (Type an integer or a decimal.)

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Problem 20271

Express each using a positive exponent. (Example 2)
5. $3^{-2}=$
6. $5^{-3}=$ $\qquad$
8. $w^{-7}=$ $\qquad$

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Problem 20272

Solve the compound inequality $2 y-3 \leq 7$ or $-3 y \leq-18$ . Then graph the solution set.

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Problem 20273

Express each using a positive exponent.
5. $3^{-2}=$ $\qquad$
7. $m^{-5}=$ $\qquad$
Express each fraction using a negative ex
9. $\frac{1}{d^{3}}=$ $\qquad$
11. $\frac{1}{r^{8}}=$ $\qquad$

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Problem 20274

8. $w^{-7}=$ $\qquad$ tive exponent. (Example 3)
10. $\frac{1}{12^{2}}=$ $\qquad$
12. $\frac{1}{6^{4}}=$ $\qquad$

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Problem 20275

14 Kegelstumpf: Ein Kegelstumpf entsteht durch Abtrennen eines Kegels parallel zur Grundfläche des Ausgangskegels. a) Zeige, dass für das Volumen eines Kegelstumpfs gilt: $V=\frac{\pi}{3} \cdot h \cdot\left(r_{2}^{2}+r_{2} \cdot r_{1}+r_{1}^{2}\right)$ b) Berechne das Volumen eines Kegelstumpfs mit $\mathrm{r}_{1}=44 \mathrm{~mm}, \mathrm{r}_{2}=28 \mathrm{~mm}$ und $\mathrm{h}=32 \mathrm{~mm}$ .

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Problem 20276

If $f(x)=e^{x} \sin x$ , then $f^{\prime}(x)=$

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Problem 20277

Find the discontinuities.
5. $f(x)=\frac{x-2}{x^{2}-3 x+2}$

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Problem 20278

$\frac{x+5}{x}-\frac{9}{8}=0$
Select the correct choice below and, if necessary, fill in

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Problem 20279

Factorise fully $12 a c-4 a$ $\square$
Submit Answer

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Problem 20280

2. Résoudre dans $\mathbb{N} X \mathbb{N}$ le système suivant: $\left\{\begin{aligned} C_{x}^{y} & =C_{x}^{y+1} \\ 4 C_{x}^{y} & =5 C_{x}^{y-1} \end{aligned}\right.$

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Problem 20281

Find the indefinite integral. $\int x^{-8} d x$ $\square$ $+C$

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Problem 20282

(iii) If $y=\frac{1}{2 x}-\frac{1}{3 x^{2}}+\frac{1}{4 x^{3}}$ . Find $\frac{d y}{d x}$ (i) Find the equation of the tangent and of the normal to the curve function $y=f(x)=x^{3}+2 x^{2}+1$ at $x=-1$ on it

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Problem 20283

(Chapter 5 plus sections 0.1 and 0.4 )
Solve using the substitution method. $\begin{aligned} x-y & =-2 \\ 6 x+8 y & =-26 \end{aligned}$

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Problem 20284

Use the quadratic formula to solve the equation. $x^{2}+4 x+20=0$

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Problem 20285

$\begin{array}{l}y=\frac{7}{8} x-9 \\ y=-\frac{3}{4} x+4\end{array}$

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Problem 20286

Directions: For the following problems, differentiate with respect to $t$ . Do not simplify.
6. $2 s=(3 r-4)^{5}$
7. $x^{2}=\sqrt{3-2 z}$
8. $\tan (\theta)=\frac{y}{x}$
9. $e^{2 x}=\ln (4 y+3)$
10. $x y=4$
11. $x^{2}+y^{2}=z^{2}$
12. $\cos (\theta)=\frac{x}{17}$
13. $P(x)=\frac{5 x}{3 x-4}$
14. $V=\frac{1}{3} \pi r^{2} h$
15. $2 h=\frac{1}{4}\left(r^{2}-6\right)$
16. $\frac{x+2 y}{x}=x^{2} y$
17. $A=\frac{1}{2} b h$

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Problem 20287

Suppose that the function $g$ is defined, for all real numbers, as follows. $g(x)=\left\{\begin{array}{ll} \frac{1}{2} x^{2}-5 & \text { if } x \neq 2 \\ 2 & \text { if } x=2 \end{array}\right.$
Find $g(-4), g(2)$ , and $g(4)$ . $\begin{array}{l} g(-4)= \\ g(2)= \\ g(4)= \end{array}$

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Problem 20288

12. [0/2 Points] DETAILS MYNOTES TANAPCALCBR10 6.1.016.MI.SA. PREVIOUS ANSWERS
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral. $\int 4 u^{1 / 8} d u$
Step 1 Recall the rule for the Indefinite Integral of a Constant Multiple of a Function, which states that for a constant $c$ , the following holds. $\int c f(u) d u=c \int f(u) d u$
Applying this rule gives the following result. $\int 4 u^{1 / 8} d u=\square \times \text { (D) } \int u^{1 / 8} d u$

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Problem 20289

12. [0/2 Points] DETAILS MYNOTES TANAPCALCBR10 6.1.016.MI.SA. PREVIOUS ANSWERS
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral. $\int 4 u^{1 / 8} d u$
Step 1 Recall the rule for the Indefinite Integral of a Constant Multiple of a Function, which states that for a constant $c$ , the following holds. $\int c f(u) d u=c \int f(u) d u$
Applying this rule gives the following result. $\int 4 u^{1 / 8} d u=\square \times \text { (D) } \int u^{1 / 8} d u$

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Problem 20290

Question 4
Factor $4 x^{6} y^{4}+12 x^{5} y^{5}+4 x^{4} y^{3}$

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Problem 20291

Solve for $d$ in the proportion. $\begin{array}{l} \frac{6}{4}=\frac{d+5}{6} \\ d=\square \end{array}$

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Problem 20292

What is the slope of the line represented by the equation $f(t)=2 t-6$ ? The slope is 2 and the $y$ -intercept is -6 . The slope is -6 and the $y$ -intercept is 2 . The slope is 2 and the $y$ -intercept is 6 . The slope is 6 and the $y$ -intercept is 2 .

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Problem 20293

Ind the number of solutions by graphing the system of equations. Select "None" if applicable. (Hint: Rewrite the system of equations into familiar forms to raph.) $\begin{array}{l} \ln 6=2 \ln x-\ln y \\ x^{2}+y^{2}-8 y+7=0 \end{array}$
Number of solutions: $\square$ None

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Problem 20294

$\left(\frac{5 f^{9} g^{4} h^{2}}{f^{2} h^{3}}\right)^{0}$

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Problem 20295

Find each root that is a real number. $-\sqrt{100}$

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Problem 20296

$x^{2}+39 x+380=0$ $x_{1}=$ $\square$ Round your answer to 2 decimal places. $x_{2}=$ $\qquad$ Round your answer to 2 decimal places.

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Problem 20297

Solve for $w$ . $|3 w+6|=-12$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $w=$ $\square$
No solution

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Problem 20298

اذا كان T: $T: \mathfrak{R}^{3} \rightarrow \mathfrak{R}^{3}$ حيث $T(x, y, z)=(x+2 y+3 z, 4 x+8 y+12 z, 3 x+2 y+z)$ 1 2. اوجد نواه ومدى التحويل. 3. اوجد القيم المميزة، والفضاءات المميزة لمصفوفة التحويل الخطي 4. اوجد المصفوفة القطرية D التي تشابه مصفوفة التحويل الخطي A واوجد المصفوفة P بحيث ان D = P

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Problem 20299

The cost of producing $x$ units of a product is given by $C(x)=800+80 x-80 \ln (x), \quad x \geq 1$
Find the minimum average cost.
Minimum Average Cost $=$ $\square$ Preview My Answers Submit Answers
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Problem 20300

$\frac{y^{-6}}{y^{-10}}$
Simplify. a

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Math Statement

Problem 20201

Problem 20202

The solution to the equation 2∣−5x−3∣=10x+142|-5 x-3|=10 x+142∣−5x−3∣=10x+14 is

Problem 20203

(E−500)(400)=927000(E-500)(400)=927000(E−500)(400)=927000

Problem 20204

Copy and complete the equation of line G below. y=−x+−y=-x+-y=−x+−

Problem 20205

M=[(−23)6×(2−3)4]÷(23)8M=\left[\left(\frac{-2}{3}\right)^{6} \times\left(\frac{2}{-3}\right)^{4}\right] \div\left(\frac{2}{3}\right)^{8}M=[(3−2​)6×(−32​)4]÷(32​)81. Verify that M=49\mathrm{M}=\frac{4}{9}M=94​.

Problem 20206

=1.33⋅1024ats6.02⋅1023=\frac{1.33 \cdot 10^{24} \mathrm{ats}}{6.02 \cdot 10^{23}}=6.02⋅10231.33⋅1024ats​

Problem 20207

y=−x+3y=-x+3y=−x+3 b=3b=3b=3Use the given information to write the equation of each line in the form y=mx+by=m x+by=mx+b. slope =−3=-3=−3 and yyy-intercept =4=4=4 b.) m=−5m=-5m=−5 and b=0b=0b=0 y=4−y=4-y=4− parallel to y=6x−1y=6 x-1y=6x−1 and yyy-intercept =−3=-3=−3

Problem 20208

Find the inverse of the function f(x)=4(2)3x−5 f(x) = 4(2)^{3x} - 5 f(x)=4(2)3x−5.

Problem 20209

Problem 20210

Simplify the expression: 2x2y4⋅4x2y4⋅3x3x−3y2\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{-3} y^{2}}3x−3y22x2y4⋅4x2y4⋅3x​

Problem 20211

2. Solve the following quadratic functions by factoring. If needed, write answers in fraction form, using the " /// /// key as the fraction bar. 3x2+11x+10=03 x^{2}+11 x+10=03x2+11x+10=0The smaller of the two answers is: \qquadThe larger of the two answers is: \qquad

Problem 20212

Problem 20213

=3.22⋅10246.02⋅1023==\frac{3.22 \cdot 10^{24}}{6.02 \cdot 10^{23}}==6.02⋅10233.22⋅1024​=

Problem 20214

Problem 20215

f(x)=3x1−2x,f−1(x)=?f(x)=\frac{3 x}{1-2 x}, \quad f^{-1}(x)=?f(x)=1−2x3x​,f−1(x)=?

Problem 20216

BIEvaluate the following. 1.52÷5+0.8(61.7)1.5^{2} \div 5+0.8(61.7)1.52÷5+0.8(61.7)

Problem 20217

∫sin⁡3xcos⁡2xdx=\int \sin ^{3} x \cos ^{2} x d x=∫sin3xcos2xdx=

Problem 20218

Solve the following problem. 35%35 \%35% of what number is 56 ?35\% of □\square□ is 56. (Type an integer or a decimal.)

Problem 20219

Write the expression as a complex number in standard form: (−2+5i)(−1+4i)(-2+5 i)(-1+4 i)(−2+5i)(−1+4i) 15−18i15-18 i15−18i −18−13i-18-13 i−18−13i −13−18i-13-18 i−13−18i −18+13i-18+13 i−18+13i

Problem 20220

Problem 20221

Luas daerah yang dibatasi oleh kurva y=sin⁡2xy=\sin 2 xy=sin2x dan sumbu XXX pada selang 0≤x≤π30 \leq x \leq \frac{\pi}{3}0≤x≤3π​ adalah . . . .

Problem 20222

Solve the equation: 2(3x−22)=4x+2\sqrt{2}(3 x-2 \sqrt{ } 2)=4 x+\sqrt{2}2​(3x−2​2)=4x+2​Give your answer in the form p2+q\mathrm{p} \sqrt{2}+\mathrm{q}p2​+q, where p and q are simplified fractions.

Problem 20223

Problem 20224

44%44 \%44% of a number is equal to 51%51 \%51% of 660.What is the number? Give any decima answers to 1 d.p.

Problem 20225

Use the function below to answer the following questions. p(x)=4x−4−2p(x)=4^{x-4}-2p(x)=4x−4−2 (a) Use transformations of the graph of y=4xy=4^{x}y=4x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.

Problem 20226

Problem 20227

9) 175x4y2z2\sqrt{175 x^{4} y^{2} z^{2}}175x4y2z2​ A) 10yzxz10 y z \sqrt{x z}10yzxz​ B) 5x2yz75 x^{2} y z \sqrt{7}5x2yz7​ C) 2xz2xy2 x z \sqrt{2 x y}2xz2xy​ D) 12xyz2z12 x y z \sqrt{2 z}12xyz2z​

Problem 20228

4. Assuming that gcd⁡(a,b)=1\operatorname{gcd}(a, b)=1gcd(a,b)=1, prove the following: (b) gcd⁡(2a+b,a+2b)=1\operatorname{gcd}(2 a+b, a+2 b)=1gcd(2a+b,a+2b)=1 or 3 .

Problem 20229

Problem 20230

Evaluate the polynomial function using Synthetic Division g(x)==−2x4−x3+4x−5 when x=−1\begin{array}{c} g(x)==-2 x^{4}-x^{3}+4 x-5 \\ \text { when } \mathrm{x}=-1 \end{array}g(x)==−2x4−x3+4x−5 when x=−1​

Problem 20231

Evaluate the polynomial function using Synthetic Division f(x)=5x3+3x2−x+7 when x=2\begin{array}{c} f(x)=5 x^{3}+3 x^{2}-x+7 \\ \text { when } x=2 \end{array}f(x)=5x3+3x2−x+7 when x=2​

Problem 20232

Problem 20233

Given that 0.6˙3˙=7110 . \dot{6} \dot{3}=\frac{7}{11}0.6˙3˙=117​, what is 0.06˙3˙0.0 \dot{6} \dot{3}0.06˙3˙ as a fraction in its simplest form?

Problem 20234

What is the yyy-intercept for the function y=2(x+3)(x−4)y=2(x+3)(x-4)y=2(x+3)(x−4) ?

Problem 20235

c) log⁡284\log _{2} \sqrt[4]{8}log2​48​

Problem 20236

Work out the value of uuu when 16−6=4u16^{-6}=4^{u}16−6=4u

Problem 20237

Jse the information below to write 0.48˙1˙0.4 \dot{8} \dot{1}0.48˙1˙ as a fraction in its simplest form. 0.48˙i˙=0.4+0.08˙1˙0.08˙i˙=9110\begin{array}{c} 0.4 \dot{8} \dot{i}=0.4+0.0 \dot{8} \dot{1} \\ 0.0 \dot{8} \dot{i}=\frac{9}{110} \end{array}0.48˙i˙=0.4+0.08˙1˙0.08˙i˙=1109​​

Problem 20238

Problem 20239

Problem 20240

Factor the following expression completely in order to fill in the 8x2−328 x^{2}-328x2−32 A(Bx+C)(Dx−E)A=B=C=D=E=\begin{array}{l} A(B x+C)(D x-E) \\ A= \\ B= \\ C= \\ D= \\ E= \end{array}A(Bx+C)(Dx−E)A=B=C=D=E=​Note: Your answers should be integers.

Problem 20241

16. [-/1 Points] DETAILS MY NOTES SPRECALC8 6.2.Evaluate the expression without using a calculator. (cos⁡(45∘))2−(sin⁡(45∘))2\left(\cos \left(45^{\circ}\right)\right)^{2}-\left(\sin \left(45^{\circ}\right)\right)^{2}(cos(45∘))2−(sin(45∘))2 □\square□

Problem 20242

10x+35x+6=12\frac{10 x+3}{5 x+6}=\frac{1}{2}5x+610x+3​=21​

Problem 20243

Problem 20244

Find the yyy-intercept(s) and xxx-intercept(s) of the graph of the following. 25x2+81y2=125 x^{2}+81 y^{2}=125x2+81y2=1

Problem 20245

If a7=70481a_{7}=\frac{704}{81}a7​=81704​ and r=−23r=-\frac{2}{3}r=−32​, find a11a_{11}a11​

Problem 20246

The solution to the equation $2|-5 x-3|=10 x+14$ is

$(E-500)(400)=927000$

Copy and complete the equation of line G below. $y=-x+-$

$M=\left[\left(\frac{-2}{3}\right)^{6} \times\left(\frac{2}{-3}\right)^{4}\right] \div\left(\frac{2}{3}\right)^{8}$
1. Verify that $\mathrm{M}=\frac{4}{9}$ .

$=\frac{1.33 \cdot 10^{24} \mathrm{ats}}{6.02 \cdot 10^{23}}$

$y=-x+3$ $b=3$
Use the given information to write the equation of each line in the form $y=m x+b$ . slope $=-3$ and $y$ -intercept $=4$ b.) $m=-5$ and $b=0$ $y=4-$ parallel to $y=6 x-1$ and $y$ -intercept $=-3$

Find the inverse of the function $f(x) = 4(2)^{3x} - 5$ .

Simplify the expression: $\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{-3} y^{2}}$

2. Solve the following quadratic functions by factoring. If needed, write answers in fraction form, using the " $/ /$ key as the fraction bar. $3 x^{2}+11 x+10=0$
The smaller of the two answers is: $\qquad$
The larger of the two answers is: $\qquad$

$=\frac{3.22 \cdot 10^{24}}{6.02 \cdot 10^{23}}=$

$f(x)=\frac{3 x}{1-2 x}, \quad f^{-1}(x)=?$

BI
Evaluate the following. $1.5^{2} \div 5+0.8(61.7)$

$\int \sin ^{3} x \cos ^{2} x d x=$

Solve the following problem. $35 \%$ of what number is 56 ?
35\% of $\square$ is 56. (Type an integer or a decimal.)

Write the expression as a complex number in standard form: $(-2+5 i)(-1+4 i)$ $15-18 i$ $-18-13 i$ $-13-18 i$ $-18+13 i$

Luas daerah yang dibatasi oleh kurva $y=\sin 2 x$ dan sumbu $X$ pada selang $0 \leq x \leq \frac{\pi}{3}$ adalah . . . .

Solve the equation: $\sqrt{2}(3 x-2 \sqrt{ } 2)=4 x+\sqrt{2}$
Give your answer in the form $\mathrm{p} \sqrt{2}+\mathrm{q}$ , where p and q are simplified fractions.

$44 \%$ of a number is equal to $51 \%$ of 660.
What is the number? Give any decima answers to 1 d.p.

Use the function below to answer the following questions. $p(x)=4^{x-4}-2$ (a) Use transformations of the graph of $y=4^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.

9) $\sqrt{175 x^{4} y^{2} z^{2}}$ A) $10 y z \sqrt{x z}$ B) $5 x^{2} y z \sqrt{7}$ C) $2 x z \sqrt{2 x y}$ D) $12 x y z \sqrt{2 z}$

4. Assuming that $\operatorname{gcd}(a, b)=1$ , prove the following: (b) $\operatorname{gcd}(2 a+b, a+2 b)=1$ or 3 .

Evaluate the polynomial function using Synthetic Division $\begin{array}{c} g(x)==-2 x^{4}-x^{3}+4 x-5 \\ \text { when } \mathrm{x}=-1 \end{array}$

Evaluate the polynomial function using Synthetic Division $\begin{array}{c} f(x)=5 x^{3}+3 x^{2}-x+7 \\ \text { when } x=2 \end{array}$

Given that $0 . \dot{6} \dot{3}=\frac{7}{11}$ , what is $0.0 \dot{6} \dot{3}$ as a fraction in its simplest form?

What is the $y$ -intercept for the function $y=2(x+3)(x-4)$ ?

c) $\log _{2} \sqrt[4]{8}$

Work out the value of $u$ when $16^{-6}=4^{u}$

Jse the information below to write $0.4 \dot{8} \dot{1}$ as a fraction in its simplest form. $\begin{array}{c} 0.4 \dot{8} \dot{i}=0.4+0.0 \dot{8} \dot{1} \\ 0.0 \dot{8} \dot{i}=\frac{9}{110} \end{array}$

Factor the following expression completely in order to fill in the $8 x^{2}-32$ $\begin{array}{l} A(B x+C)(D x-E) \\ A= \\ B= \\ C= \\ D= \\ E= \end{array}$
Note: Your answers should be integers.

16. [-/1 Points] DETAILS MY NOTES SPRECALC8 6.2.
Evaluate the expression without using a calculator. $\left(\cos \left(45^{\circ}\right)\right)^{2}-\left(\sin \left(45^{\circ}\right)\right)^{2}$ $\square$

$\frac{10 x+3}{5 x+6}=\frac{1}{2}$

Find the $y$ -intercept(s) and $x$ -intercept(s) of the graph of the following. $25 x^{2}+81 y^{2}=1$

If $a_{7}=\frac{704}{81}$ and $r=-\frac{2}{3}$ , find $a_{11}$

Simplify the expression without using a calculator. $\log _{\sqrt{6}} 1=$ $\square$ $\square$

Give the equation of the circle centered at the origin and passing through the point $(0,-9)$ .

15. Divide the complex numbers. Write the answer in the form $a+b i$ . $\frac{1-9 i}{2-8 i}$

$=1$ $=2$ $=3$ 4 5 6 7 8 9
Write the domain in Interval notation. $g(x)=\log (3-x)$
The domain is $\square$ .

Solve $\log _{2}(x+2)=2-\log _{2}(x-5)$

4. Simplify the expression. $|28.1-7.03|-|3.5 \cdot 4.1|+|-9|$

$(\csc x-\cot x)^{2}=\frac{1-\cos x}{1+\cos x}$

$\frac{1}{4}+2$

$\frac{7}{3} \cdot 0$

Remainder, Factor, and Rational Root Theorems
1. Use the Remainder Theorem to find the remainder when $f(x)=x^{3}-6 x^{2}+11 x-6$ is divided by $x-2$

ii. $\lim _{x \rightarrow 0^{+}}(1+4 x)^{\cot x}$

Factor the trinomial. $x^{2}+10 x+21$
Select the correct choice below and fill in any answer boxes within your choice. A. $x^{2}+10 x+21=$ $\square$ (Simplify your answer. Factor completely.) B. The trinomial is not factorable.

A particle is moving with the given data. Find the position function of the particle. $v(t)=\sin t-\cos t, \quad s(0)=3$

Question 2
Factor $15 w^{6}+5 w^{4}$ .

Simplify the following expression completely. $\frac{x^{2}-9 x+14}{x^{2}+2 x-8}$

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The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval. $v(t)=10 t-10,0 \leq t \leq 5$

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Solve for $x$ , rounding to the nearest hundredth. $12 \cdot 10^{\frac{x}{4}}=43$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer Sign out Dec 4 $D \cong$ ㄴ

Express each using a positive exponent. (Example 2)
5. $3^{-2}=$
6. $5^{-3}=$ $\qquad$
8. $w^{-7}=$ $\qquad$

Solve the compound inequality $2 y-3 \leq 7$ or $-3 y \leq-18$ . Then graph the solution set.

Express each using a positive exponent.
5. $3^{-2}=$ $\qquad$
7. $m^{-5}=$ $\qquad$
Express each fraction using a negative ex
9. $\frac{1}{d^{3}}=$ $\qquad$
11. $\frac{1}{r^{8}}=$ $\qquad$

8. $w^{-7}=$ $\qquad$ tive exponent. (Example 3)
10. $\frac{1}{12^{2}}=$ $\qquad$
12. $\frac{1}{6^{4}}=$ $\qquad$