Browse Math Statement problems Studdy Solved!

Problem 2601

For what value(s) of $k$ does the graph of $f(x)=\frac{x^{2}+k x+9}{x^{2}+14 x+49}$ have exactly one $x$ -intercept?
$k= \pm \sqrt{35}$
$k=7$
$-6<k<6$ $k=-6$ or $k=6$

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Problem 2602

$3+\frac{5}{2 p}=\frac{4}{p}$

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Problem 2603

Question Watch Video Show
If $\cos \theta=\frac{4}{\sqrt{26}}$ and angle $\theta$ is in Quadrant I, what is the exact value of $\tan 2 \theta$ in simplest radical form?

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Problem 2604

6. $-2<-3.5$
7. $-1 \frac{1}{3}>0.5$
8. $2.25>-2 \frac{1}{4}$
9. $-1.75<-1 \frac{1}{2}$

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Problem 2605

Find a cubic function $f(x)=a x^{3}+b x^{2}+c x+d$ that has a local maximum value of 3 at $x=-3$ and a local minimum value of 0 at $x=1$ . $f(x)=$

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Problem 2606

Question 20 (4 points) $\checkmark$ Saved
Solve the equation $\frac{x+2}{x-7}=\frac{x+7}{x+3}$ . $x=-11$ $x=-\frac{55}{6}$ no solution $x=7, x=-3$

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Problem 2607

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{2}-\sqrt{11}}{\sqrt{11}-\sqrt{8}}$

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Problem 2608

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{7}+\sqrt{3}}{\sqrt{12}+\sqrt{7}}$

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Problem 2609

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

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Problem 2610

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{8}-\sqrt{3}}{\sqrt{12}+\sqrt{2}}$

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Problem 2611

c. Let $h(x)=4 x^{2}-46 x+18$ . Determine the root(s) of $h$ .

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Problem 2612

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

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Problem 2613

$-1 x-8$ c) $0,8 x-\frac{4 x}{5}-6 y+3 x-1,3 x+\frac{5 y}{4}-1,3$

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Problem 2614

$-2 \cdot x \cdot y+e^{x+y}=20$ a. Find $\frac{\mathrm{d} y}{\mathrm{~d} x}$ in terms of $x$ and $y$ . $\frac{\mathrm{d} y}{\mathrm{~d} x}=$ $a^{b}$ $\sin (a)$ $\frac{\partial}{\partial x} f$ : $\infty$ $\alpha$ $\Omega$ $\frac{2 \cdot y-e^{x+y}}{e^{x+y}-2 \cdot x}$ b. Find the value of $\frac{d y}{d x}$ at the point $P(\sqrt{2},-\sqrt{2})$ . $\left.\frac{\mathrm{d} y}{\mathrm{~d} x}\right|_{(\sqrt{2},-\sqrt{2})}=$ $a^{b}$ $\sin (a)$ $\frac{\partial}{\partial x} f$ $\infty$ $\alpha$ $\Omega$

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Problem 2615

$\sin \left[\frac{1}{2}(\alpha-\theta)\right]=$

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Problem 2616

gualuate. $\begin{aligned} 3 . & 12.3+\left(6^{2}-11.8\right)-1 \\ & =12.3+(\square-11.8)-1 \\ & =12.3+\square-1 \\ & =\square-1 \\ & =\square \end{aligned}$

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Problem 2617

Find the absolute maximum value and the absolute minimum val $f(x)=-x^{2}+4 x+3 \text { on }[4,7]$ maximum $\square$ minimum $\square$ Need Help? Read It Master It

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Problem 2618

Use radical notation to rewrite the following expression. Simplify, if possible. $400^{\frac{1}{2}}$

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Problem 2619

8. [-/1 Points] DETAILS MY NOTES TANAPCALC10 4.4.045.MI. ASK YOUR TEACHER PRACTICE ANOTHER
Flight of a Rocket The altitude in feet attained by a model rocket $t$ seconds into flight is given by the function $h(t)$ . Find the maximum altitude (in ft) attained by the rocket. (Round your answer to the nearest foot.) $h(t)=-\frac{1}{3} t^{3}+4 t^{2}+20 t+20 \quad(t \geq 0)$ $\qquad$ ft Need Help? Read It Master It Submit Answer View Previous Question Question 8 of 10 VieynNext Question Home My Assignments Request Extension

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Problem 2620

Which expression is equivalent to $(z+5)\left(z^{2}-4 z+6\right) ?$ (A) $z^{3}+5 z^{2}+6 z+30$ (B) $z^{2}+z+11$ (C) $z^{3}+z^{2}-14 z+30$ (D) $z^{2}-3 z+11$

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Problem 2621

$9+(516-226)$

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Problem 2622

5. $154 \div 7=$

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Problem 2623

$342 \div 9=$

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Problem 2624

11 Mark for Review $\frac{d}{d x}\left(\cos ^{-1} x\right)=$ (A) $-\frac{1}{\sqrt{1-x^{2}}}$ (B) $\frac{1}{\sqrt{1-x^{2}}}$ (C) $-\sin ^{-1} x$ (D) $-\cos ^{-2} x$

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Problem 2625

Which proportion could you use to convert 32 ounces to pounds? $\begin{array}{l} \frac{16 \text { ounces }}{1 \text { pound }}=\frac{? \text { pounds }}{32 \text { ounces }} \\ \frac{16 \text { ounces }}{1 \text { pound }}=\frac{32 \text { ounces }}{? \text { pounds }} \end{array}$
Convert. 32 ounces = $\square$ pounds

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Problem 2626

Let $T_{1}$ be the time between a car accident and reporting a claim to the insurance company. Let $T_{2}$ be the time between the report of the claim and payment of the claim. The joint density function of $T_{1}$ and $T_{2}, f\left(t_{1}, t_{2}\right)$ , is constant over the region $0<t_{1}<6,0<t_{2}<6, t_{1}+t_{2}<10$ , and zero otherwise.
Calculate $\mathrm{E}\left(T_{1}+T_{2}\right)$ , the expected time between a car accident and payment of the claim. A. 6.0 B. 5.7 c. 5.0 D. 4.9 E. 6.7

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Problem 2627

If an object travels upward at a velocity of $v$ feet per second from $s$ feet above the ground, the object's height in feet, $h$ , after $t$ seconds can be modeled by the formula $h=-16 t^{2}+v t+s$ $\begin{array}{l} 0=-16 t^{2}+ \\ 450 t+100 \\ 0=-16 t^{2}+ \\ 100 t+450 \end{array}$ 4)) To the nearest tenth of a second, how long does it take the rocket to hit the ground after running out of fuel? $\square$ seconds

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Problem 2628

2. For the function $f(x)=-(2)^{x+1}+5$ : a) State the equation of the horizontal asymptote, the $y$ -intercept, the domain, and the range.

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Problem 2629

13. If $\cos \theta=0.5000$ , find the value of $\theta$ correct to two decimal places, where $0 \leq \theta<2 \pi$ .
13a Find the acute angle $\theta$ that solves the equation. $\theta=$ Enter your next step here

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Problem 2630

15c. Is $\sin \frac{7 \pi}{6}$ positive or negative? negative positive
Submit step View next step

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Problem 2631

$\frac{h-4}{h^{2}+4 h+3}-\frac{h+2}{h^{2}+5 h+6}$

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Problem 2632

Consider the indefinite integral $\int \frac{(\ln (z))^{5}}{z} d z$ : This can be transformed into a basic integral by letting $\begin{array}{l} u=\square \text { and } \\ d u=\square d z \end{array}$
Performing the substitution yields the integral $\square$ $d u$

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Problem 2633

Is $\cos \frac{5 \pi}{4}$ positive or negative? positive negative B

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Problem 2634

Solve for all possible values of x . $\sqrt{14-2 x}=x-7$

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Problem 2635

Question 5 (1 point) $\checkmark$ Saved
The first number in each row in pascals triangle is called the 1st element zeroth element 2nd element

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Problem 2636

Return Next
1 Fill in the Blank 1 point Question 10 Consider the equation $x^{2}-39=0$ . a. Does the quadratic formula work to solve this equation? Explain or show how you know. choose your answer... $a=$ type your answer... $1 \quad, \mathrm{~b}=$ type your answer... $\square$ , and $c=$ $\square$ type your answer.. $\square$ , $\qquad$ b. Can you solve this equation using square roots? Explain or show how you know. choose your answer... $\square$ you would choose your answer... Next

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Problem 2637

$\frac{\frac{11}{9}}{\frac{-7}{60}}$

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Problem 2638

13. $(8 w+3)-(9 w+6)$

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Problem 2639

$\begin{array}{c} 8=-15 t^{2} \\ 0=-16 t^{2}+8 \end{array}$
To the nearest terest of a second, how lone aoes it laike far the apple to reach the groume? $\square$ seconals

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Problem 2640

Evaluate when $n=-4$ [3.1]
43. $5 n$
44. $17-2 n$
Name the property illustrated. [3.2, 3.3]
45. $3+a=a+3$
46. $9+(b+6)=(9+b)+6$
47. $8(g+7)=8 g+56$
48. $5 \cdot 0=0$
Factor each expression using the Distributive Property. [3.4]
49. $5 x+25$
50. $7 m-49$
51. Evaluate: $(3+7) \cdot 6+12 \div 6 \quad$ [2.7]
52. Evaluate: $(3-5)^{2}+3 \cdot 4$ [2.7] A. 62 A. 8 B. 12 B. -4 C. 30 C. 16 D. 47 D. 28 E. none of these E. none of these

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Problem 2641

$\frac{-\frac{5}{12}-\frac{\sqrt{3}}{3}}{1+\left(-\frac{5}{12}\right)\left(\frac{\sqrt{3}}{3}\right)}$

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Problem 2642

For the given confidence level and values of $x$ and $n$ , find the following. $x=46, n=98, \text { confidence level } 80 \%$
Part: $0 / 3$
Part 1 of 3 (a) Find the point estimate. Round the answers to at least four decimal places, if necessary
The point estimate for the given data is $\square$

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Problem 2643

Differentiate the following function. $\begin{array}{l} y=\frac{e^{x}-2 e^{-x}}{e^{x}+2 e^{-x}} \\ y^{\prime}=\square \end{array}$

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Problem 2644

Write $\left[\begin{array}{c}0 \\ -3 \\ -2\end{array}\right]$ as a linear combination of the vectors $\left[\begin{array}{c}0 \\ -3 \\ -1\end{array}\right],\left[\begin{array}{c}-3 \\ -3 \\ -3\end{array}\right],\left[\begin{array}{c}1 \\ -5 \\ 0\end{array}\right]$ . $\left[\begin{array}{c} 5 \\ -3 \\ -2 \end{array}\right]=\square\left[\begin{array}{c} 0 \\ -3 \\ -1 \end{array}\right]+\square\left[\begin{array}{c} -3 \\ -3 \\ -3 \end{array}\right]+\square\left[\begin{array}{c} 1 \\ -5 \\ 0 \end{array}\right]$ Preview My Answers Submit Answers
You have attempted this problem 0 times.

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Problem 2645

Solve $\frac{1 / 3}{5}=\frac{a}{20}$ $a=3 / 5$ $a=3 / 4$ $a=4 / 3$ $a=5 / 3$

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Problem 2646

Find the domain of the function. $f(x)=\log \left(x^{2}+16\right)$
Write your answer as an interval or union of intervals.
Domain: $\square$

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Problem 2647

Assume that $x$ has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) 〔 USE SALT $\begin{aligned} \mu & =106 ; \sigma=20 \\ P(x \geq 90) & = \end{aligned}$

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Problem 2648

2.) Which equation has no real solution(s)? Select all that apply. A. $2(x-3)^{2}=0$ $\begin{array}{c} 2+x+x-3-3 \\ 2+2 x-6 \end{array}$ B. $(x+3)^{2}+4=1$ C. $(x-1)^{2}+4=8$ D. $(x+1)^{2}+4=2$

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Problem 2649

Simplify $\frac{4 d^{-2} \times 3 d^{-5}}{2 d^{7}}$ , and leave your 0 answer in index form. Ans $=6 d^{\circ}$

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Problem 2650

Next question Get a similar question
Find the differential and evaluate for the given $x$ and $d x$ . Answer exactly. $\begin{array}{l} y=\tan (x), x=\frac{7 \pi}{4}, d x=\frac{\pi}{11} \\ d y=\frac{2 \pi}{11} \end{array}$ 0 Submit Question

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Problem 2651

Find $y^{\prime}$ by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate. $y=\left(3-x^{2}\right)\left(x^{3}-4 x+2\right)$ a. Apply the Product Rule. Let $u=\left(3-x^{2}\right)$ and $v=\left(x^{3}-4 x+2\right)$ . $\frac{d}{d x}(u v)=\left(3-x^{2}\right)\left(3 x^{2}-4\right)+\left(x^{3}-4 x+2\right)(-2 x)$ b. Multiply the factors of the original expression, $u$ and $v$ , to produce a sum of simpler terms. $\mathrm{y}=\square$ (Simplify your answer.)

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Problem 2652

Write the number 0.00092 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

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Problem 2653

Consider the integral $\int \frac{e^{y}}{e^{y}+4} d y$ : This can be transformed into a basic integral by letting $\begin{array}{l} u=e^{y}+4 \checkmark 0^{b} \text { and } \\ d u=e^{y} \quad \checkmark \sigma^{b} d y \end{array}$
After perfroming the substitution, you obtain the integral $\int \square d u$

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Problem 2654

33-46 - Graphing Piecewise Defined Function of the piecewise defined function.
33. $f(x)=\left\{\begin{array}{ll}0 & \text { if } x<2 \\ 1 & \text { if } x \geq 2\end{array}\right.$
34. $f(x)=\left\{\begin{array}{ll}1 & \text { if } x \leq 1 \\ x+1 & \text { if } x>1\end{array}\right.$
35. $f(x)=\left\{\begin{array}{ll}3 & \text { if } x<2 \\ x-1 & \text { if } x \geq 2\end{array}\right.$
36. $f(x)=\left\{\begin{array}{ll}1-x & \text { if } x<-2 \\ 5 & \text { if } x \geq-2\end{array}\right.$
37. $f(x)=\left\{\begin{array}{ll}x & \text { if } x \leq 0 \\ x+1 & \text { if } x>0\end{array}\right.$
38. $f(x)=\left\{\begin{array}{ll}2 x+3 & \text { if } x<-1 \\ 3-x & \text { if } x \geq-1\end{array}\right.$
39. $f(x)=\left\{\begin{array}{ll}-1 & \text { if } x<-1 \\ 1 & \text { if }-1 \leq x \leq 1 \\ -1 & \text { if } x>1\end{array}\right.$
40. $f(x)=\left\{\begin{array}{ll}-1 & \text { if } x<-1 \\ x & \text { if }-1 \leq x \leq 1 \\ 1 & \text { if } x>1\end{array}\right.$

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Problem 2655

Write the number 7,300 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

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Problem 2656

Consider the indefinite integral $\int \frac{x^{6}}{\left(x^{7}-2\right)^{7}} d x$ : This can be transformed into a basic integral by letting $u=\left(x^{7}-2\right) \vee 0^{\infty}$ and $d u=7 x^{6} \quad \vee 0^{\infty} d x$
Performing the substitution yields the integral $\int \square d u$
Performing the integration yields the final answer (in terms of $x$ , not $u$ ). $\int \frac{x^{6}}{\left(x^{7}-2\right)^{7}} d x=$

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Problem 2657

Write each fraction as a sum or difference.
25. $\frac{2 x+7}{5}$
26. $\frac{17+5 n}{4}$
27. $\frac{8-9 x}{3}$
28. $\frac{4 y-12}{2}$
29. $\frac{25-8 t}{5}$
30. $\frac{18 x+51}{17}$
31. $\frac{22-2 n}{2}$
32. $\frac{42 w+14}{7}$
Simplify each expression.
33. $-(20+d)$
34. $-(-5-4 y)$
35. $-(9-7 c)$
See Problem 3,
37. $-(18 a-17 b)$
38. $-(2.1 c-4 d)$
39. $-(-m+n+1)$
36. $-(-x+15)$
40. $-(x+3 y-3)$
Use mental math to.find each product.
41. $5.1 \times 8$
42. $3 \times 7.25$
43. $299 \times 3$ See Problem 4.
45. $3.9 \times 6$
46. $5 \times 2.7$
47. $6.15 \times 4$
44. $4 \times 197$
48. $6 \times 9.1$
49. You buy 50 of your favorite songs from a Web site that charges $\$ .99$ for each song. What is the cost of 50 songs? Use mental math.
50. The perimeter of a baseball diamond is about 360 ft . If you take 12 laps around the diamond, what is the total distance you run? Use mental math.
51. One hundred and five students see a play. Each ticket costs $\$ 45$ . What is the total amount the students spend for tickets? Use mental math.
52. Suppose the distance you travel to school is 5 mi . What is the total distance for 197 trips from home to school? Use mental math.
Simplify each expression by combining like terms. See Proble
53. $11 x+9 x$
54. $8 y-7 y$
55. $5 t-7 t$
56. $-n+4 n$
57. $5 w^{2}+12 w^{2}$
58. $2 x^{2}-9 x^{2}$
59. $-4 y^{2}+9 y^{2}$
60. $6 c-4+2 c-7$
61. $5-3 x+y+6$
62. $2 n+1-4 m-n$
63. $-7 h+3 h^{2}-4 h-3$
64. $10 a b+2 a b^{2}-9 a b$
Write a word phrase for each expression. Then simplify each expression.
65. $3(t-1)$
66. $4(d+7)$
67. $\frac{1}{3}(6 x-1)$

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Problem 2658

Assignment 4.2: Power Functions and Polynomial Score: 0/6 0/6 answered
Question 1
Find the degree of the term -2 : $\square$ Find the degree of the term $1 x^{4}$ : $\square$ Find the degree of the term $-3 x^{7}$ : $\square$ Find the degree of the term $6 x^{6}$ : $\square$ Find the degree of the polynomial $-2+1 x^{4}-3 x^{7}+6 x^{6}$ : $\square$ Question Help: DVideo Submit question

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Problem 2659

Give a parametric equation representation for each curve. $\begin{array}{l} a) y=x^{5}-x \\ x(t)=\square \\ y(t)=\square \end{array}$ b) $9 x^{2}+y^{2}=1$ $x(t)=$ $\square$ $y(t)=$ $\square$

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Problem 2660

(x) Factor $18 z^{4}+24 z^{3}-24 z^{2}$ completely. $\square$ Submit

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Problem 2661

Simplify $\frac{\sqrt{11 b^{7} a^{4}}}{\sqrt{3 b^{2} a^{10}}}$ $\square$ Basic Funcs Trig

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Problem 2662

Solve the problem. 11) $7^{2}$ 12) $6^{3}$ 13) $2^{2}$ 14) $4^{2}$ 15) $4^{3}$ 16) What is 7 cubed? 17) What is 8 to the power of two? 18) What is 5 cubed? 19) What is 6 cubed? 20) What is 4 to the power of three?

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Problem 2663

(豨) Factor $-8 z^{3}-24 z^{2}-18 z$ completely. $\square$ Submit

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Problem 2664

2 Mark for Review
The derivative of the function $A$ is given by $A^{\prime}(t)=2+9 e^{0.4 \text { sint }}$ , and $A(1.2)=7.5$ . If the linear approximation to $A(t)$ at $t=1.2$ is used to estimate $A(t)$ , at what value of $t$ does the linear approximation estimate that $A(t)=15$ ? (A) 0.498 (B) 1.166 (C) 1.698 (D) 2.400

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Problem 2665

b) $f^{2}-5 p^{3}-3 f^{2}+7 p^{3}$

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Problem 2666

$(13 a-8 b+11 c)+(7 b-4 c)-(8 a-5 c)$

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Problem 2667

Find the value or values of $c$ that satisfy the equation $\frac{f(b)-f(a)}{b-a}=f^{\prime}(c)$ in the conclus of the Mean Value Theorem for the function and interval. $f(x)=x+\frac{12}{x},[3,4]$ A) $-2 \sqrt{3}, 2 \sqrt{3}$ B) 3,4 C) $2 \sqrt{3}$ D) $0,2 \sqrt{3}$

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Problem 2668

$\begin{array}{l} 4.74-30 c=-43-82 c-4.26 \\ c= \end{array}$
Submit

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Problem 2669

Find the indefinite integral. Check your result by differentiating. (Use $C$ for the constant of integration.) $\int \frac{6 x}{\left(7+x^{2}\right)^{3}} d x$
Need Help? $\square$ Read It $\square$

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Problem 2670

(x.) Factor $2 t^{3}+14 t^{2}+20 t$ completely. $\square$ Submit

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Problem 2671

Simplify. $3(3 y-4)-4(y+4)$

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Problem 2672

For an ideal gas, which of the following statements is true? a. P is inversely proportional to n at constant V and T . b. P is inversely proportional to T at constant n and V . c. n is inversely proportional to T at constant P and V . d. V is inversely proportional to n at constant P and T . e. V is inversely proportional to T at constant n and P .

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Problem 2673

If $f(x)=\frac{a}{b}(x-c)^{2}+d$ , and $g(x)=f^{-1}(x)$ , a restriction to the domain of $f(x)$ that will ensure $g(x)$ is a function is $\{x \mid x \geq c, x \in \mathbb{R}\}$
Question Help: 囚Message instructor

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Problem 2674

c. $\tan ^{-1}(\sqrt{3})$

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Problem 2675

Determine the order of the matrix. $\left[\begin{array}{llll} 1 & 2 & 3 & 1 \\ 0 & 1 & 0 & 0 \\ 4 & 7 & 0 & 1 \end{array}\right]$ $\square$ $\square$

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Problem 2676

Find the axis of symmetry of the parabola defined by the equation $(y+6)^{2}=40(x+6)$ .

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Problem 2677

5. The expression $3^{\frac{n}{3}} \cdot 3^{\frac{n}{4}}$ is equivalent to (1) $\sqrt[12]{3^{7 n}}$ (3) $\sqrt[12]{3^{n}}$ (2) $9^{\frac{7 n}{12}}$ (4) $9 \frac{n^{2}}{12}$

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Problem 2678

$l=\frac{(x-4)(x+4)}{(x+8)(x+4)}$

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Problem 2679

Subtract. Write your answer in simplest form. $4 \sqrt{2}-8 \sqrt{98}$ $\square$ $\square$ Submit

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Problem 2680

012 (part 1 of 2) $\mathbf{1 0 . 0}$ points A 17.2 kg block is dragged over a rough, horizontal surface by a constant force of 89.6 N acting at an angle of $27.8^{\circ}$ above the horizontal. The block is displaced 33.7 m , and the coefficient of kinetic friction is 0.234 . $\mu=0.234$
Find the work done by the 89.6 N force. The acceleration of gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Answer in units of J. 013 (part 2 of 2) 10.0 points Find the magnitude of the work done by the force of friction.
Answer in units of J.

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Problem 2681

The slopes of perpendicular lines are

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Problem 2682

Find the degree, leading coefficient, and the constant term of the polynomial. $f(x)=-6 x^{2}-5 x^{5}-x^{6}+6$
Degree $=$ $\square$
Leading Coefficient $=$ $\square$
Constant Term = $\square$

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Problem 2683

d. $\csc \left(\tan ^{-1}(-2)\right)$

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Problem 2684

e. $\sec \left(\tan ^{-1}\left(\frac{1}{2}\right)\right)$

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Problem 2685

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin ^{2} x-2 \sin x-3=0$
Write your answer in radians in terms of $\pi$ . If there is mort than one solution, separate them with commas.

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Problem 2686

Add. Write your answer in simplest form. $-7 \sqrt{40}+8 \sqrt{10}$ $\square$ Submit

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Problem 2687

$\times 15=315$

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Problem 2688

$4 \sin \theta+3 \sqrt{3}=\sqrt{3}$

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Problem 2689

$\cos \frac{\pi}{4} \cos \frac{\pi}{3}+\sin \frac{\pi}{4} \sin \frac{\pi}{3}$

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Problem 2690

Write the equation of the line below in slope-intercept form State the slope as an integer or reduced fraction. State the $-37 x-14 y=-21$
Equation in slope-intercept form: $\square$ Slope: $\square$ y-intercept: $\square$ Question Help: Video 1 Video 2 Submit Question

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Problem 2691

Establish the identity. $(\csc \theta+1)(\csc \theta-1)=\cot ^{2} \theta$
Multiply and write the left side expression as the difference of two squar $\square$

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Problem 2692

Subtract. Write your answer in simplest form. $-3 \sqrt{56}-10 \sqrt{14}$ $\square$ $\square$ Submit

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Problem 2693

Complete the table using the rule. $y=x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

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Problem 2694

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin 2 x+\cos x=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with com $x=$ $\square$
$\pi$

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Problem 2695

$a, b$ , and $c$ are all nonzero real numbers.
1. $a x+b y=c$

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Problem 2696

Complete the table using the rule. $y=3 x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

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Problem 2697

Find all the roots of the polynomial: $y=-x^{5}+11 x^{3}-6 x^{2}-28 x+24$

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Problem 2698

For the given function, find all asymptotes and the coordinates of any holes in its graph. $f(x)=\frac{2 x^{2}+1}{3 x^{2}+4 x-4}$
Find the vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. There is one vertical asymptote. Its equation is $\square$ . (Use integers or fractions for any numbers in the equation.) B. There are two vertical asymptotes. The equation of the leftmost one is $\square$ and the equation of the rightmost one is $\square$ . (Use integers or fractions for any numbers in the equations.) C. There are no vertical asymptotes.

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Problem 2699

Complete the table using the rule. $y=2 x^{2}-1$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

See Solution

Problem 2700

3. Factor this polynomial expression: $\sqrt{6(2 x-1)^{2}}-9(y+2)^{2}$ A. $(4 x+3 y+2)(4 x-3 y+10)$ C. $(8 x+3 y-2)(8 x-3 y+10)$ B. $(4 x+3 y-2)(4 x-3 y-10)$ D. $(8 x+3 y+2)(8 x-3 y-10)$

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Math Statement

Problem 2601

For what value(s) of kkk does the graph of f(x)=x2+kx+9x2+14x+49f(x)=\frac{x^{2}+k x+9}{x^{2}+14 x+49}f(x)=x2+14x+49x2+kx+9​ have exactly one xxx-intercept?k=±35k= \pm \sqrt{35}k=±35​k=7k=7k=7−6<k<6-6<k<6−6<k<6 k=−6k=-6k=−6 or k=6k=6k=6

Problem 2602

3+52p=4p3+\frac{5}{2 p}=\frac{4}{p}3+2p5​=p4​

Problem 2603

Question Watch Video ShowIf cos⁡θ=426\cos \theta=\frac{4}{\sqrt{26}}cosθ=26​4​ and angle θ\thetaθ is in Quadrant I, what is the exact value of tan⁡2θ\tan 2 \thetatan2θ in simplest radical form?

Problem 2604

6. −2<−3.5-2<-3.5−2<−3.57. −113>0.5-1 \frac{1}{3}>0.5−131​>0.58. 2.25>−2142.25>-2 \frac{1}{4}2.25>−241​9. −1.75<−112-1.75<-1 \frac{1}{2}−1.75<−121​

Problem 2605

Find a cubic function f(x)=ax3+bx2+cx+df(x)=a x^{3}+b x^{2}+c x+df(x)=ax3+bx2+cx+d that has a local maximum value of 3 at x=−3x=-3x=−3 and a local minimum value of 0 at x=1x=1x=1. f(x)=f(x)=f(x)=

Problem 2606

Question 20 (4 points) ✓\checkmark✓ SavedSolve the equation x+2x−7=x+7x+3\frac{x+2}{x-7}=\frac{x+7}{x+3}x−7x+2​=x+3x+7​. x=−11x=-11x=−11 x=−556x=-\frac{55}{6}x=−655​ no solution x=7,x=−3x=7, x=-3x=7,x=−3

Problem 2607

Express as a single fraction in simplest radical form with a rational denominator. 2−1111−8\frac{\sqrt{2}-\sqrt{11}}{\sqrt{11}-\sqrt{8}}11​−8​2​−11​​

Problem 2608

Express as a single fraction in simplest radical form with a rational denominator. 7+312+7\frac{\sqrt{7}+\sqrt{3}}{\sqrt{12}+\sqrt{7}}12​+7​7​+3​​

Problem 2609

Evaluate the expression. Let n=4n=4n=4.7. n+7−3n+7-3n+7−38. 5n÷25 n \div 25n÷29. 3+(n÷2)3+(n \div 2)3+(n÷2)10. 3n+53 n+53n+511. (2.7⋅n)−3(2.7 \cdot n)-3(2.7⋅n)−312. 100−12n100-12 n100−12n

Problem 2610

Express as a single fraction in simplest radical form with a rational denominator. 8−312+2\frac{\sqrt{8}-\sqrt{3}}{\sqrt{12}+\sqrt{2}}12​+2​8​−3​​

Problem 2611

c. Let h(x)=4x2−46x+18h(x)=4 x^{2}-46 x+18h(x)=4x2−46x+18. Determine the root(s) of hhh.

Problem 2612

Evaluate the expression. Let n=4n=4n=4.7. n+7−3n+7-3n+7−38. 5n÷25 n \div 25n÷29. 3+(n÷2)3+(n \div 2)3+(n÷2)10. 3n+53 n+53n+511. (2.7⋅n)−3(2.7 \cdot n)-3(2.7⋅n)−312. 100−12n100-12 n100−12n

Problem 2613

−1x−8-1 x-8−1x−8 c) 0,8x−4x5−6y+3x−1,3x+5y4−1,30,8 x-\frac{4 x}{5}-6 y+3 x-1,3 x+\frac{5 y}{4}-1,30,8x−54x​−6y+3x−1,3x+45y​−1,3

Problem 2614

Problem 2615

sin⁡[12(α−θ)]=\sin \left[\frac{1}{2}(\alpha-\theta)\right]=sin[21​(α−θ)]=

Problem 2616

gualuate. 3.12.3+(62−11.8)−1=12.3+(□−11.8)−1=12.3+□−1=□−1=□\begin{aligned} 3 . & 12.3+\left(6^{2}-11.8\right)-1 \\ & =12.3+(\square-11.8)-1 \\ & =12.3+\square-1 \\ & =\square-1 \\ & =\square \end{aligned}3.​12.3+(62−11.8)−1=12.3+(□−11.8)−1=12.3+□−1=□−1=□​

Problem 2617

Find the absolute maximum value and the absolute minimum val f(x)=−x2+4x+3 on [4,7]f(x)=-x^{2}+4 x+3 \text { on }[4,7]f(x)=−x2+4x+3 on [4,7] maximum □\square□ minimum □\square□ Need Help? Read It Master It

Problem 2618

Use radical notation to rewrite the following expression. Simplify, if possible. 40012400^{\frac{1}{2}}40021​

Problem 2619

Problem 2620

Which expression is equivalent to (z+5)(z2−4z+6)?(z+5)\left(z^{2}-4 z+6\right) ?(z+5)(z2−4z+6)? (A) z3+5z2+6z+30z^{3}+5 z^{2}+6 z+30z3+5z2+6z+30 (B) z2+z+11z^{2}+z+11z2+z+11 (C) z3+z2−14z+30z^{3}+z^{2}-14 z+30z3+z2−14z+30 (D) z2−3z+11z^{2}-3 z+11z2−3z+11

Problem 2621

9+(516−226)9+(516-226)9+(516−226)

Problem 2622

5. 154÷7=154 \div 7=154÷7=

Problem 2623

342÷9=342 \div 9=342÷9=

Problem 2624

11 Mark for Review ddx(cos⁡−1x)=\frac{d}{d x}\left(\cos ^{-1} x\right)=dxd​(cos−1x)= (A) −11−x2-\frac{1}{\sqrt{1-x^{2}}}−1−x2​1​ (B) 11−x2\frac{1}{\sqrt{1-x^{2}}}1−x2​1​ (C) −sin⁡−1x-\sin ^{-1} x−sin−1x (D) −cos⁡−2x-\cos ^{-2} x−cos−2x

Problem 2625

Problem 2626

Problem 2627

Problem 2628

2. For the function f(x)=−(2)x+1+5f(x)=-(2)^{x+1}+5f(x)=−(2)x+1+5 : a) State the equation of the horizontal asymptote, the yyy-intercept, the domain, and the range.

Problem 2629

13. If cos⁡θ=0.5000\cos \theta=0.5000cosθ=0.5000, find the value of θ\thetaθ correct to two decimal places, where 0≤θ<2π0 \leq \theta<2 \pi0≤θ<2π.13a Find the acute angle θ\thetaθ that solves the equation. θ=\theta=θ= Enter your next step here

Problem 2630

15c. Is sin⁡7π6\sin \frac{7 \pi}{6}sin67π​ positive or negative? negative positiveSubmit step View next step

Problem 2631

h−4h2+4h+3−h+2h2+5h+6\frac{h-4}{h^{2}+4 h+3}-\frac{h+2}{h^{2}+5 h+6}h2+4h+3h−4​−h2+5h+6h+2​

Problem 2632

Problem 2633

Is cos⁡5π4\cos \frac{5 \pi}{4}cos45π​ positive or negative? positive negative B

Problem 2634

Solve for all possible values of x . 14−2x=x−7\sqrt{14-2 x}=x-714−2x​=x−7

Problem 2635

Question 5 (1 point) ✓\checkmark✓ SavedThe first number in each row in pascals triangle is called the 1st element zeroth element 2nd element

Problem 2636

Problem 2637

119−760\frac{\frac{11}{9}}{\frac{-7}{60}}60−7​911​​

Problem 2638

13. (8w+3)−(9w+6)(8 w+3)-(9 w+6)(8w+3)−(9w+6)

Problem 2639

8=−15t20=−16t2+8\begin{array}{c} 8=-15 t^{2} \\ 0=-16 t^{2}+8 \end{array}8=−15t20=−16t2+8​To the nearest terest of a second, how lone aoes it laike far the apple to reach the groume? □\square□ seconals

Problem 2640

Problem 2641

−512−331+(−512)(33)\frac{-\frac{5}{12}-\frac{\sqrt{3}}{3}}{1+\left(-\frac{5}{12}\right)\left(\frac{\sqrt{3}}{3}\right)}1+(−125​)(33​​)−125​−33​​​

Problem 2642

Problem 2643

Differentiate the following function. y=ex−2e−xex+2e−xy′=□\begin{array}{l} y=\frac{e^{x}-2 e^{-x}}{e^{x}+2 e^{-x}} \\ y^{\prime}=\square \end{array}y=ex+2e−xex−2e−x​y′=□​

Problem 2644

Problem 2645

For what value(s) of $k$ does the graph of $f(x)=\frac{x^{2}+k x+9}{x^{2}+14 x+49}$ have exactly one $x$ -intercept?
$k= \pm \sqrt{35}$
$k=7$
$-6<k<6$ $k=-6$ or $k=6$

$3+\frac{5}{2 p}=\frac{4}{p}$

Question Watch Video Show
If $\cos \theta=\frac{4}{\sqrt{26}}$ and angle $\theta$ is in Quadrant I, what is the exact value of $\tan 2 \theta$ in simplest radical form?

6. $-2<-3.5$
7. $-1 \frac{1}{3}>0.5$
8. $2.25>-2 \frac{1}{4}$
9. $-1.75<-1 \frac{1}{2}$

Find a cubic function $f(x)=a x^{3}+b x^{2}+c x+d$ that has a local maximum value of 3 at $x=-3$ and a local minimum value of 0 at $x=1$ . $f(x)=$

Question 20 (4 points) $\checkmark$ Saved
Solve the equation $\frac{x+2}{x-7}=\frac{x+7}{x+3}$ . $x=-11$ $x=-\frac{55}{6}$ no solution $x=7, x=-3$

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{2}-\sqrt{11}}{\sqrt{11}-\sqrt{8}}$

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{7}+\sqrt{3}}{\sqrt{12}+\sqrt{7}}$

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

Express as a single fraction in simplest radical form with a rational denominator. $\frac{\sqrt{8}-\sqrt{3}}{\sqrt{12}+\sqrt{2}}$

c. Let $h(x)=4 x^{2}-46 x+18$ . Determine the root(s) of $h$ .

Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$

$-1 x-8$ c) $0,8 x-\frac{4 x}{5}-6 y+3 x-1,3 x+\frac{5 y}{4}-1,3$

$\sin \left[\frac{1}{2}(\alpha-\theta)\right]=$

gualuate. $\begin{aligned} 3 . & 12.3+\left(6^{2}-11.8\right)-1 \\ & =12.3+(\square-11.8)-1 \\ & =12.3+\square-1 \\ & =\square-1 \\ & =\square \end{aligned}$

Find the absolute maximum value and the absolute minimum val $f(x)=-x^{2}+4 x+3 \text { on }[4,7]$ maximum $\square$ minimum $\square$ Need Help? Read It Master It

Use radical notation to rewrite the following expression. Simplify, if possible. $400^{\frac{1}{2}}$

Which expression is equivalent to $(z+5)\left(z^{2}-4 z+6\right) ?$ (A) $z^{3}+5 z^{2}+6 z+30$ (B) $z^{2}+z+11$ (C) $z^{3}+z^{2}-14 z+30$ (D) $z^{2}-3 z+11$

$9+(516-226)$

5. $154 \div 7=$

$342 \div 9=$

11 Mark for Review $\frac{d}{d x}\left(\cos ^{-1} x\right)=$ (A) $-\frac{1}{\sqrt{1-x^{2}}}$ (B) $\frac{1}{\sqrt{1-x^{2}}}$ (C) $-\sin ^{-1} x$ (D) $-\cos ^{-2} x$

2. For the function $f(x)=-(2)^{x+1}+5$ : a) State the equation of the horizontal asymptote, the $y$ -intercept, the domain, and the range.

13. If $\cos \theta=0.5000$ , find the value of $\theta$ correct to two decimal places, where $0 \leq \theta<2 \pi$ .
13a Find the acute angle $\theta$ that solves the equation. $\theta=$ Enter your next step here

15c. Is $\sin \frac{7 \pi}{6}$ positive or negative? negative positive
Submit step View next step

$\frac{h-4}{h^{2}+4 h+3}-\frac{h+2}{h^{2}+5 h+6}$

Is $\cos \frac{5 \pi}{4}$ positive or negative? positive negative B

Solve for all possible values of x . $\sqrt{14-2 x}=x-7$

Question 5 (1 point) $\checkmark$ Saved
The first number in each row in pascals triangle is called the 1st element zeroth element 2nd element

$\frac{\frac{11}{9}}{\frac{-7}{60}}$

13. $(8 w+3)-(9 w+6)$

$\begin{array}{c} 8=-15 t^{2} \\ 0=-16 t^{2}+8 \end{array}$
To the nearest terest of a second, how lone aoes it laike far the apple to reach the groume? $\square$ seconals

$\frac{-\frac{5}{12}-\frac{\sqrt{3}}{3}}{1+\left(-\frac{5}{12}\right)\left(\frac{\sqrt{3}}{3}\right)}$

Differentiate the following function. $\begin{array}{l} y=\frac{e^{x}-2 e^{-x}}{e^{x}+2 e^{-x}} \\ y^{\prime}=\square \end{array}$

Solve $\frac{1 / 3}{5}=\frac{a}{20}$ $a=3 / 5$ $a=3 / 4$ $a=4 / 3$ $a=5 / 3$

Find the domain of the function. $f(x)=\log \left(x^{2}+16\right)$
Write your answer as an interval or union of intervals.
Domain: $\square$

Simplify $\frac{4 d^{-2} \times 3 d^{-5}}{2 d^{7}}$ , and leave your 0 answer in index form. Ans $=6 d^{\circ}$

Write the number 0.00092 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

Write the number 7,300 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

Give a parametric equation representation for each curve. $\begin{array}{l} a) y=x^{5}-x \\ x(t)=\square \\ y(t)=\square \end{array}$ b) $9 x^{2}+y^{2}=1$ $x(t)=$ $\square$ $y(t)=$ $\square$

(x) Factor $18 z^{4}+24 z^{3}-24 z^{2}$ completely. $\square$ Submit

Simplify $\frac{\sqrt{11 b^{7} a^{4}}}{\sqrt{3 b^{2} a^{10}}}$ $\square$ Basic Funcs Trig

Solve the problem. 11) $7^{2}$ 12) $6^{3}$ 13) $2^{2}$ 14) $4^{2}$ 15) $4^{3}$ 16) What is 7 cubed? 17) What is 8 to the power of two? 18) What is 5 cubed? 19) What is 6 cubed? 20) What is 4 to the power of three?

(豨) Factor $-8 z^{3}-24 z^{2}-18 z$ completely. $\square$ Submit

b) $f^{2}-5 p^{3}-3 f^{2}+7 p^{3}$

$(13 a-8 b+11 c)+(7 b-4 c)-(8 a-5 c)$

$\begin{array}{l} 4.74-30 c=-43-82 c-4.26 \\ c= \end{array}$
Submit

Find the indefinite integral. Check your result by differentiating. (Use $C$ for the constant of integration.) $\int \frac{6 x}{\left(7+x^{2}\right)^{3}} d x$
Need Help? $\square$ Read It $\square$

(x.) Factor $2 t^{3}+14 t^{2}+20 t$ completely. $\square$ Submit

Simplify. $3(3 y-4)-4(y+4)$

c. $\tan ^{-1}(\sqrt{3})$