Browse Math Statement problems Studdy Solved!

Problem 2101

新, Find the distance between the points $(1,7)$ and $(10,2)$ . [8] Round decimals to the nearest tenth. $\square$ units Submit

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Problem 2102

Solve the following inequality. $(x-1)(x-2)(x-3) \geq 0$
The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers

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Problem 2103

Correct
Use integration by substitution to solve the integral below. Use C for the constant of integration. $\int \frac{-6(\ln (y))^{3}}{y} d y$
Answer

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Problem 2104

(b) $12 \cot ^{2} \theta-4=0$

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Problem 2105

14 2 3 4 5 6 7 8
What is the value of $x$ in the equation below? $\frac{1}{3}(12 x-24)=16$ 2 6 8 10

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Problem 2106

$73 \div 20=$

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Problem 2107

Find $f^{\prime}(x)$ for $f^{\prime}(x)=\square \quad f(x)=\frac{5\left(x^{2}+2\right) \cot (x)}{1-\cos (x) \csc (x)}$

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Problem 2108

$24 \times 8 =$

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Problem 2109

$m^{-4}=n$

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Problem 2110

b) $g(s)=16^{4} . \quad g^{\prime}(s)=$

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Problem 2111

1 2 3 4 5 6 8 3 \%
Which equations have the same value of $x$ as $\frac{3}{5}(30 x-15)=72$ ? Select three options. $18 x-15=72$ $50 x-25=72$ $18 x-9=72$ $3(8 x-3)=72$ $x=45$ Mark thus and return Save and Exit test Stint

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Problem 2112

Evaluate the given integral by changing to polar coordinates. $\iint_{D} 2 x^{2} y d A$ , where $D$ is the top half of the disk with center the origin and radius 4.

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Problem 2113

The first and second steps to solve the equation $\frac{3 x}{5}+5=20$ are shown below. $\begin{array}{l} \frac{3 x}{5}+5-5=20-5 \\ \frac{3 x}{5}\left(\frac{5}{3}\right)=15\left(\frac{5}{3}\right) \end{array}$
Which property was applied in the second step? Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Mark this and return Save and Exit Noxt

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Problem 2114

$24 x^{2}+62 x+33=(a x+b)(c x+d)$
What is the value of $a$ ? [Select ] $\square$
What is the value of $b$ ? [ Select ] $\square$
What is the value of $c$ ? $\square$ [Select]
What is the value of $d$ ? [Select] $\square$

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Problem 2115

2] Given that $\cos \theta=\frac{3}{8}, f$ A] $\sin \left(90^{\circ}-\theta\right)$

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Problem 2116

Add and simplify. $\begin{array}{l} (4+\sqrt{-16})+(9+\sqrt{-36}) \\ (4+\sqrt{-16})+(9+\sqrt{-36})= \end{array}$ $\square$ (Simplify your answer. Type your answer in the form a +bi .)

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Problem 2117

4. $-\frac{5}{6} x-\frac{1}{9} x=-102$

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Problem 2118

Factor the following expression completely: $3 w^{2}-19 w-14=$ $\square$ Question Help: Message instructor Submit Question
Question 10 Factor the following expression completely: $3 x^{2}-11 x-20=$ $\square$

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Problem 2119

Given the function $C(x)=(x-6)(x+2)(x-5)$ its $C$ -intercept is $\square$ its $x$ -intercepts are $\square$ Question Help: Video Check Answer

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Problem 2120

Fill in the blank. The period of $y=\tan x$ is $\square$

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Problem 2121

Factor completely: $25-x^{2}=$ $\square$ Question Help: Message instructor Submit Question
Question 15 0/3 pts 3 99 Det
Solve. $\begin{array}{l} 25 x^{2}-49=0 \\ x=\square \end{array}$ $\square$ Question Help: Video Message instructor (in)
Submit Question
Question 16 0/3 pts $3 \rightleftarrows 99$ Det
Solve. $\begin{array}{l} 64 x^{2}-49=0 \\ x=\square \end{array}$ $\square$

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Problem 2122

Fill in the blank. The domain of $y=\cot x$ is all real numbers such that $\qquad$ $x \geq \pi$ $x \geq 0$ $x=n \pi$ , where $n$ is an integer $x \neq n \pi$ , where $n$ is an integer $x \neq \frac{n \pi}{2}$ , where $n$ is an odd integer

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Problem 2123

can be stated as the set of points whose alstan $|2 x| \geq 10$ $\qquad$ Is greater than or equal to $\qquad$ -7/2;5 -7/2;10 7/2;10 7/2;5 Hang Oryng

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Problem 2124

$y = x^4 \sqrt[5]{\frac{x+1}{x-1}}$

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Problem 2125

Fill in the blank. The period of $y=\csc x$ is $\square$

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Problem 2126

Watch Video
Write an equivalent expression by distributing the "-" sign outside the parentheses: $-(-4.2 r-s+3.9)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 2127

Practice Use the Distributive Property to simplify each expression. PRACTICES
9. $6(a+10)$
13. $10(9-t)$
10. $8(4+x)$
11. $(5+w) 5$
See Problem 1.
17. $(3-8 c) 1.5$
14. $12(2 j-6)$
15. $16(7 b+6)$
12. $(2 t+3) 11$
19. $\frac{1}{4}(4 f-8)$
21. $(-8 z-10)(-1.5)$
18. $(5 w-15) 2.1$
16. $(1+3 d) 9$
20. $6\left(\frac{1}{3} h+1\right)$
22. $0(3.7 x-4.21)$
23. $1\left(\frac{3}{11}-\frac{7 d}{17}\right)$
24. $\frac{1}{2}\left(\frac{1}{2} y-\frac{1}{2}\right)$
Write each fraction as a sum or difference.
25. $\frac{2 x+7}{5}$
26. $\frac{17+5 n}{4}$
29. $\frac{25-8 t}{5}$
30. $\frac{18 x+51}{17}$
27. $\frac{8-9 x}{3}$
See Problem 2.
31. $\frac{22-2 n}{2}$
Simplify each expression.
33. $-(20+d)$
34. $-(-5-4 y)$
37. $-(18 a-17 b)$
38. $-(2.1 c-4 d)$
35. $-(9-7 c)$
See Problem 3.
36. $-(-x+15)$
39. $-(-m+n+1)$
40. $-(x+3 y-3)$
Use mental math to find each product.
41. $5.1 \times 8$
42. $3 \times 7.25$
45. $3.9 \times 6$
46. $5 \times 2.7$
43. $299 \times 3$ (1.) See Problem 4.
44. $4 \times 197$
47. $6.15 \times 4$
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.
53. $11 x+9 x$
54. $8 y-7 y$
See Problem 5.
56. $-n+4 n$
57. $5 w^{2}+12 w^{2}$
55. $5 t-7 t$
59. $-4 y^{2}+9 y^{2}$
60. $6 c-4+2 c-7$
58. $2 x^{2}-9 x^{2}$
62. $2 n+1-4 m-n$
63. $-7 h+3 h^{2}-4 h-3$
61. $5-3 x+y+6$
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 2128

Perform the indicated operation. $\begin{array}{l} \frac{x+7}{2 x^{2}+5 x+3}+\frac{x}{2 x^{2}+3 x+1} \\ \frac{x+7}{2 x^{2}+5 x+3}+\frac{x}{2 x^{2}+3 x+1}= \end{array}$ $\square$ (Simplify your answer. Type your answer in factored form.)

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Problem 2129

Evaluate the definite integral (if it exists) $\int_{e}^{e^{4}} \frac{-6}{x \sqrt{\ln (x)}} d x$
If the integral does not exist, type "DNE".

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Problem 2130

Put the following equation of a line into slope-intercept form, simplifying all fractions. $4 y-4 x=-36$

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Problem 2131

Solve the given equation. $\left(\frac{7}{8}\right)^{y}=\frac{9}{11}$ $y=$ $\square$ [Round your answer to 4 decimal places.]

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Problem 2132

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 y-4 x=100$

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Problem 2133

points Points: 0 of 1
For the equation, (a) solve for $x$ in terms of $y$ , and (b) solve for $y$ in terms of $x$ . $8 x^{2}+2 x y+5 y^{2}=8$ (a) Solve for $x$ in terms of $y$ . $x=\square$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressi. comma to separate answers as needed.)

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Problem 2134

Solve $3 x^{3}+3 x^{2}-30 x+24>0$

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Problem 2135

$\left.\frac{\cos ^{2} A}{\sin A(1+\csc A)}+\sin A\right)=1$

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Problem 2136

Solve the equation: $m^{2}=18 m-80$ Answer: $m=$ $\square$ Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and $-\frac{2}{3}$ as your answers, then enter $4,-2 / 3$ in the box.

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Problem 2137

Solve the equation. $x=i$ i

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Problem 2138

Enter the smallest integer n so that the following function is $\mathrm{O}\left(\mathrm{x}^{\mathrm{r}}\right.$ ). $f(x)=x^{2}\left(x^{3}+1\right)+x^{5} \log (x)$

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Problem 2139

Solve the equation. $1.079^{x}=4.13$
Round your answer to three decimal places.

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Problem 2140

Find the complete solution of the linear system, or show that it is incor there is no solution, enter NO SOLUTION.) $\begin{array}{l} \left\{\begin{array}{r} x+2 y-z=-19 \\ 2 x+3 y-4 z=-48 \\ 3 x+6 y-3 z=-56 \end{array}\right. \\ (x, y, z)=(\square) \end{array}$

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Problem 2141

Example 8: If $f(x)=e^{2 x}-3 x$ , find $f^{\prime}$ and $f^{\prime \prime}$

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Problem 2142

1. a) Find the value of $m$ if $\lim _{x \rightarrow 0} \frac{m x+3 x^{2}}{4 x-8 x^{2}}=3$ .

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Problem 2143

7.2a - Derivatives of the Sine an
1. Evaluate $\lim _{\theta \rightarrow 0} \frac{\sin 4 \theta}{\sin 6 \theta}=\frac{2}{3}$
2. Evaluate $\lim _{\theta \rightarrow 0} \frac{\sin \theta}{\theta+\tan \theta}$
3. Evaluate $\lim _{x \rightarrow 1} \frac{\sin (x-1)}{x^{2}+x-2}$

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Problem 2144

Solve $\sin (2 x) \cos (5 x)-\cos (2 x) \sin (5 x)=-0.4$ for the smallest positive solution. $x=$
Give your answer accurate to two decimal places.

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Problem 2145

$2 b^{2}=b+6$

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Problem 2146

Find the complete solution or there is no solution, enter NO SOLUTION.) $\begin{array}{r} x-2 y+z=5 \\ 2 x-5 y+6 z=11 \\ 2 x-3 y-2 z=9 \end{array}$ Need Help? Read It Master It

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Problem 2147

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

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Problem 2148

This exercise refers to the following system. $\left\{\begin{array}{rr} x-y+z= & 4 \\ -x+2 y+z= & -3 \\ 3 x+y-4 z= & 1 \end{array}\right.$
To eliminate $x$ from the third equation, we add $\square$ times the first equation to the third equation. The third equation becomes $\square$

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Problem 2149

Current Attempt in Progress
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.
Test $H_{0}: p=0.25$ vs $H_{a}: p<0.25$ when the sample has $n=700$ , and $\hat{p}=0.225$ with $S E=0.02$ .
Find the value of the standardized $z$ -test statistic.
Round your answer to two decimal places. $z=$ i

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Problem 2150

If $X$ represents a random variable coming from a normal distribution with mean 3 and if $P(X>4.1)=0.23$ , then $P(3<X<4.1)=0.27$ . True False

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Problem 2151

11. The equation $f(x)=7 a^{2+x}-b$ , has an $x$ - intercept equivalent to A. $x=\frac{\log b-\log 7}{\log a}-2$ B. $x=7 a^{2}-b$ C. $x=\frac{y+b}{7 a^{2}}$ D. $x=0$

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Problem 2152

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

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Problem 2153

MORE BENEFITS OF EATING ORGANIC
Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing $\begin{array}{l} H_{0}: p_{o}=p_{c} \\ H_{a}: p_{o}>p_{c} \end{array}$ where $p_{o}$ and $p_{c}$ represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a $5 \%$ significance level.
Effect of Organic Soybeans After 5 Days
After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.9 , while the proportion still alive eating conventional soybeans is 0.84. The standard error for the differeffee in proportions is 0.022 .
What is the value of the test statistic?
Round your answer to two decimal places. $\square$ What is the $p$ -value?
Round your answer to three decimal places. $p \text {-value = }$ $\square$
What is the conclusion?

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Problem 2154

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

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Problem 2155

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

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Problem 2156

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

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Problem 2157

Find the point symmetric to $\left[\frac{7}{2}, \frac{\pi}{3}\right]$ about the $y$ -axis. $\left[-7, \frac{2 \pi}{3}\right]$ $\left[\frac{7}{2}, \frac{2 \pi}{3}\right]$ $\left[\frac{7}{2}, \frac{5 \pi}{6}\right]$ $\left[-\frac{7}{2}, \frac{\pi}{3}\right]$ $\left[7, \frac{2 \pi}{3}\right]$

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Problem 2158

39/45 $-3=\frac{8+2 x}{-12}$
Write your answer as a number only! Do not write " $x=$ "

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Problem 2159

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

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Problem 2160

Fill in the missing number. $100 \%$ of $\square$ $=70$
Submit

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Problem 2161

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

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Problem 2162

3.6 Exercises
1. Find the derivatives of the following functions: (a) $f(s)=\frac{\sqrt{s}-1}{\sqrt{s}+1}$ (b) $f(x)=\left(\frac{1}{x}-x\right)\left(x^{2}+1\right)$ (c) $g(x)=\sec (2 x+1) \cot \left(x^{2}\right)$ (d) $s(t)=\frac{1+\csc t}{1-\csc t}$ (e) $f(x)=x^{3} \sin x \cos x$ . (f) $x^{1 / 2}+y^{1 / 2}=1$ .

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Problem 2163

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

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Problem 2164

Question Watch Video Show Example
For the function $f(x)=2(x+4)^{\frac{1}{5}}-6$ , find $f^{-1}(x)$ .
Answer $f^{-1}(x)=\left(\frac{x+6}{2}-4\right)^{5}$ $f^{-1}(x)=\left(\frac{x+6}{2}\right)^{5}-4$ Submit Answer $f^{-1}(x)=\left(\frac{x}{2}-4\right)^{5}+6$ $f^{-1}(x)=\frac{(x-4)^{5}}{2}+6$

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Problem 2165

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

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Problem 2166

eans [501 2cola Points: 0.0 l 1 Save
A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Wat Disney World have a mean equal to 47 minutes. Complete parts (a) through (d). a. What is the null hypothesis, and how is it denoted? $\mathrm{H}_{0}$ $\mu$ $\square$ $=$ 47 minute(s) $\square$ (Type an integer or a decimal. Do not round.) b. What is the alternative hypothesis, and how is it denoted? $\square$ $\mathrm{H}_{\mathrm{pa}}$ $\square$ $=$ $\square$ minute(s) ur or a decimal. Do not round.)

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Problem 2167

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

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Problem 2168

Determine the dimensions of $\operatorname{Nul} A, \operatorname{Col} A$ , and Row $A$ for the given matrix. $A=\left[\begin{array}{rrrrrrr} 1 & 4 & -3 & 3 & -4 & 6 & 0 \\ 0 & 0 & 1 & -4 & 5 & -5 & 7 \\ 0 & 0 & 0 & 1 & 4 & -1 & 6 \\ 0 & 0 & 0 & 0 & 0 & 1 & -6 \end{array}\right]$
The dimension of Nul A is $\square$ (Type a whole number.)

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Problem 2169

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

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Problem 2170

that the following identity is true. $\sec ^{2} \theta-\tan ^{2} \theta=1$
We begin on the left side of the equation using a Pythagorean Identity, and th $\begin{aligned} \sec ^{2} \theta-\tan ^{2} \theta & =(\square+1)-\tan ^{2} \theta \\ & =1 \end{aligned}$

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Problem 2171

Write the domain in interval notation. $k(x)=\ln \left(x^{2}+7\right)$
The domain is $\square$ .

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Problem 2172

Score: 2/3 Penalty: 1 off
Question Watch Video Show Examples dicular Equations Perpendicular
Find the slope of a line perpendicular to the line whose equation is $4 x-2 y=20$ . Fully simplify your answer.
Answer Attempt 2 out of 2 ular Line through a from Data Table ation (Scatter Still Stuck? Log Out Copyright Q2024 DeltaMath com All Rights Reserved. Privacy Policy | Terms of Service

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Problem 2173

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

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Problem 2174

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

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Problem 2175

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

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Problem 2176

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

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Problem 2177

Part 1 of 6
Let $x$ represent the length of the rectangle. Let $y$ represent the width of the rectangle. The statement of the problem gives two independent relationships between the length and the width of the rectangle. The perimeter of the rectangle is 42 cm . $2 x+2 y=42$
The area is $98 \mathrm{~cm}^{2}$ . $x y=98$
Part 2 of 6
Using the substitution method, solve for $x$ or $y$ in either equation. (A) $2 x+2 y=42$
B $x y=98$
Solve for $y$ . $\qquad$ $y=21-x$
Correct Answer: $y=\frac{98}{x}$
Part: $2 / 6$
Part 3 of 6
Substitute $y=\frac{98}{x}$ from equation $B$ into equation $A$ . (A) $2 x+2\left(\frac{98}{x}\right)=42$ . $2 x+\square=42$

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Problem 2178

Find the slope and $y$ -intercept of the graph of the equation. $y=\frac{5}{8} x-1$

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Problem 2179

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

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Problem 2180

Identify $x$ -intercepts, axis of symmetry, vertex, and $y$ -intercept. $y=-\frac{1}{3}(x+1)(x-5)$ x-intercepts: ( $-1$ $\square$ , 0) ( 5 $\square$ ,0)
Axis of Symmetry: $\square$ $x=$
Vertex: $\square$ y-intercept: (0, $\square$

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Problem 2181

Learning Intention: "I can write and solve proportions."
Need assistancent $\checkmark$ Confer with an elbow parener $\checkmark$ Review "Math Notes: Proportions ("Is On(y)" (Spiral notebook \& Google Classroom) WWatch "Proportions ("Is Oniy)" YouTube videos (Google Classroom) $\checkmark$ Refer to envisionmath 2.0 Textbook volume 2 (Pages 263-274)
Unit 3 Math Worksheet \#2 Solve for $x$ . Round answers to the hundredths place, if applicable.
1. $\frac{12}{16}=\frac{x}{20}$
2. $\frac{x}{12}=\frac{12}{8}$
3. $\frac{14}{20}=\frac{21}{x}$
4. $\frac{4}{x}=\frac{15}{6}$
5. $\frac{20}{7}=\frac{3}{x}$
6. $\frac{x}{20}=\frac{18}{45}$
7. $\frac{220}{450}=\frac{x}{225}$
8. $\frac{9}{x}=\frac{40}{36}$
9. $\frac{35}{5}=\frac{x}{2}$
10. $\frac{50}{x}=\frac{125}{30}$

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Problem 2182

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

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Problem 2183

Solve the given equation for $x$ . $4^{6 x-2}=41$

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Problem 2184

Convert the following polar coordinates to rectangular coordinates equations. (Here $a$ is a constant number.) $r=a$ $\square$ $r=a \sec (\theta)$ $\square$ $r=a \csc (\theta)$ $\square$ $r=2 a \sin (\theta)$ $\square$ $r=2 a \cos (\theta)$ $\square$ $r=a \sec (2 \theta)$ $\square$ $\theta=\frac{\pi}{4}$ $\square$
Drag or tap the options below to fill in the blanks $\left.x^{2}-y^{2}=a y=a y=x x^{2}+(y-a)^{2}=a^{2} x=a\right)^{2}+y^{2}=a^{2} x^{2}+y^{2}=a^{2}$

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Problem 2185

$y=-(x-3)(x-3)$ x-intercepts: ( $\square$ , 0) $\square$ ,0)
Axis of Symmetry: $\square$
Vertex: $\square$ y-intercept: (0, $\square$

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Problem 2186

Learning Intention: "I can write and solve proportions."
Need assistancent $\checkmark$ Confer with an elbow parener $\checkmark$ Review "Math Notes: Proportions ("Is On(y)" (Spiral notebook \& Google Classroom) WWatch "Proportions ("Is Oniy)" YouTube videos (Google Classroom) $\checkmark$ Refer to envisionmath 2.0 Textbook volume 2 (Pages 263-274)
Unit 3 Math Worksheet \#2 Solve for $x$ . Round answers to the hundredths place, if applicable.
1. $\frac{12}{16}=\frac{x}{20}$
2. $\frac{x}{12}=\frac{12}{8}$
3. $\frac{14}{20}=\frac{21}{x}$
4. $\frac{4}{x}=\frac{15}{6}$
5. $\frac{20}{7}=\frac{3}{x}$
6. $\frac{x}{20}=\frac{18}{45}$
7. $\frac{220}{450}=\frac{x}{225}$
8. $\frac{9}{x}=\frac{40}{36}$
9. $\frac{35}{5}=\frac{x}{2}$
10. $\frac{50}{x}=\frac{125}{30}$

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Problem 2187

$6 x^{2}+10 x+9=2 x^{2}+6 x+8$

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Problem 2188

$2(x-1)^{2}=-32$

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Problem 2189

2. Graph the function: $f(x)=\frac{-4 x^{2}+1}{x^{2}+x+3}$

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Problem 2190

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

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Problem 2191

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

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Problem 2192

For each equation, identify the vertex, focus, axis of symmetry, and directrix. Then graph the parabola.
1. $(x-3)^{2}=12(y-7)$
2. $(x+1)^{2}=-12(y-6$
3. $(y-4)^{2}=20(x+2)$
4. $-1(x+7)=(y+5)^{2}$
5. $(x+8)^{2}=8(y-3)$
6. $-40(x+4)=(y-9)$
7. $(y+5)^{2}=24(x-1)$
8. $2(y+12)=(x-6)^{2}$
9. $-4(y+2)=(x+8)^{2}$
10. $10(x+11)=(y+3)^{2}$

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Problem 2193

2. $\left(x \sin \left(\frac{y}{x}\right)-y \cos \left(\frac{y}{x}\right)\right) d x+x \cos \left(\frac{y}{x}\right) d y=0$ diferansiyel denklemin genel çözümünü bulunuz (20p).

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Problem 2194

$27 x^{3}+64=0$

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Problem 2195

(1 point)
Use the third-order Taylor polynonial for $e^{x} \sin (3 x)$ at $x=0$ to approximate $e^{\frac{1}{7}} \sin (3 / 7)$ by a rational number. $e^{\frac{1}{7}} \sin (3 / 7) \approx$ $\square$

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Problem 2196

Solve the inequality for $x$ . $2>2 x+4$
Simplify your answer as much as possible.

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Problem 2197

Solve for $x$ . $-4 x-39=5(x+3)$
Simplify your answer as much as possible. $x=$

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Problem 2198

$-2|3 x+5|+7 \geq-13$
Question No. 3: If prices increase at a monthly rate of $1.5 \%$ by what percentage do they increase in a year?

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Problem 2199

Solve for $y$ . $8=-\frac{4}{9} y$
Simplify your answer as much as possible. $y=$

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Problem 2200

9) $x^{2}-4 x+4 \leq 0$ eşitsizliğinin çözüm kümesi aşağıdakilerden hangisidir? A) $(-\infty, 2] \cup[2, \infty)$ B) $[-\infty, \infty]$ C) $\{2\}$ D) $[-\infty, 2]$ E) $(-\infty, 2) \cup(2, \infty)$

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Math Statement

Problem 2101

新, Find the distance between the points (1,7)(1,7)(1,7) and (10,2)(10,2)(10,2). [8] Round decimals to the nearest tenth. □\square□ units Submit

Problem 2102

Solve the following inequality. (x−1)(x−2)(x−3)≥0(x-1)(x-2)(x-3) \geq 0(x−1)(x−2)(x−3)≥0The solution is □\square□ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers

Problem 2103

CorrectUse integration by substitution to solve the integral below. Use C for the constant of integration. ∫−6(ln⁡(y))3ydy\int \frac{-6(\ln (y))^{3}}{y} d y∫y−6(ln(y))3​dyAnswer

Problem 2104

(b) 12cot⁡2θ−4=012 \cot ^{2} \theta-4=012cot2θ−4=0

Problem 2105

14 2 3 4 5 6 7 8What is the value of xxx in the equation below? 13(12x−24)=16\frac{1}{3}(12 x-24)=1631​(12x−24)=16 2 6 8 10

Problem 2106

73÷20=73 \div 20=73÷20=

Problem 2107

Find f′(x)f^{\prime}(x)f′(x) for f′(x)=□f(x)=5(x2+2)cot⁡(x)1−cos⁡(x)csc⁡(x)f^{\prime}(x)=\square \quad f(x)=\frac{5\left(x^{2}+2\right) \cot (x)}{1-\cos (x) \csc (x)}f′(x)=□f(x)=1−cos(x)csc(x)5(x2+2)cot(x)​

Problem 2108

24×8=24 \times 8 = 24×8=

Problem 2109

m−4=nm^{-4}=nm−4=n

Problem 2110

b) g(s)=164.g′(s)=g(s)=16^{4} . \quad g^{\prime}(s)=g(s)=164.g′(s)=

Problem 2111

Problem 2112

Evaluate the given integral by changing to polar coordinates. ∬D2x2ydA\iint_{D} 2 x^{2} y d A∬D​2x2ydA, where DDD is the top half of the disk with center the origin and radius 4.

Problem 2113

Problem 2114

24x2+62x+33=(ax+b)(cx+d)24 x^{2}+62 x+33=(a x+b)(c x+d)24x2+62x+33=(ax+b)(cx+d)What is the value of aaa ? [Select ] □\square□What is the value of bbb ? [ Select ] □\square□What is the value of ccc ? □\square□ [Select]What is the value of ddd ? [Select] □\square□

Problem 2115

2] Given that cos⁡θ=38,f\cos \theta=\frac{3}{8}, fcosθ=83​,f A] sin⁡(90∘−θ)\sin \left(90^{\circ}-\theta\right)sin(90∘−θ)

Problem 2116

Add and simplify. (4+−16)+(9+−36)(4+−16)+(9+−36)=\begin{array}{l} (4+\sqrt{-16})+(9+\sqrt{-36}) \\ (4+\sqrt{-16})+(9+\sqrt{-36})= \end{array}(4+−16​)+(9+−36​)(4+−16​)+(9+−36​)=​ □\square□ (Simplify your answer. Type your answer in the form a +bi .)

Problem 2117

4. −56x−19x=−102-\frac{5}{6} x-\frac{1}{9} x=-102−65​x−91​x=−102

Problem 2118

Factor the following expression completely: 3w2−19w−14=3 w^{2}-19 w-14=3w2−19w−14= □\square□ Question Help: Message instructor Submit QuestionQuestion 10 Factor the following expression completely: 3x2−11x−20=3 x^{2}-11 x-20=3x2−11x−20= □\square□

Problem 2119

Given the function C(x)=(x−6)(x+2)(x−5)C(x)=(x-6)(x+2)(x-5)C(x)=(x−6)(x+2)(x−5) its CCC-intercept is □\square□ its xxx-intercepts are □\square□ Question Help: Video Check Answer

Problem 2120

Fill in the blank. The period of y=tan⁡xy=\tan xy=tanx is □\square□

Problem 2121

Problem 2122

Problem 2123

can be stated as the set of points whose alstan ∣2x∣≥10|2 x| \geq 10∣2x∣≥10 \qquad Is greater than or equal to \qquad -7/2;5 -7/2;10 7/2;10 7/2;5 Hang Oryng

Problem 2124

y=x4x+1x−15 y = x^4 \sqrt[5]{\frac{x+1}{x-1}} y=x45x−1x+1​​

Problem 2125

Fill in the blank. The period of y=csc⁡xy=\csc xy=cscx is □\square□

Problem 2126

Watch VideoWrite an equivalent expression by distributing the "-" sign outside the parentheses: −(−4.2r−s+3.9)-(-4.2 r-s+3.9)−(−4.2r−s+3.9)Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 2127

Problem 2128

Problem 2129

Evaluate the definite integral (if it exists) ∫ee4−6xln⁡(x)dx\int_{e}^{e^{4}} \frac{-6}{x \sqrt{\ln (x)}} d x∫ee4​xln(x)​−6​dxIf the integral does not exist, type "DNE".

Problem 2130

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y−4x=−364 y-4 x=-364y−4x=−36

Problem 2131

Solve the given equation. (78)y=911\left(\frac{7}{8}\right)^{y}=\frac{9}{11}(87​)y=119​ y=y=y= □\square□ [Round your answer to 4 decimal places.]

Problem 2132

Put the following equation of a line into slope-intercept form, simplifying all fractions. 20y−4x=10020 y-4 x=10020y−4x=100

Problem 2133

Problem 2134

Solve 3x3+3x2−30x+24>03 x^{3}+3 x^{2}-30 x+24>03x3+3x2−30x+24>0

Problem 2135

cos⁡2Asin⁡A(1+csc⁡A)+sin⁡A)=1\left.\frac{\cos ^{2} A}{\sin A(1+\csc A)}+\sin A\right)=1sinA(1+cscA)cos2A​+sinA)=1

Problem 2136

Problem 2137

Solve the equation. x=ix=ix=i i

Problem 2138

Enter the smallest integer n so that the following function is O(xr\mathrm{O}\left(\mathrm{x}^{\mathrm{r}}\right.O(xr ). f(x)=x2(x3+1)+x5log⁡(x)f(x)=x^{2}\left(x^{3}+1\right)+x^{5} \log (x)f(x)=x2(x3+1)+x5log(x)

Problem 2139

Solve the equation. 1.079x=4.131.079^{x}=4.131.079x=4.13Round your answer to three decimal places.

Problem 2140

Problem 2141

Example 8: If f(x)=e2x−3xf(x)=e^{2 x}-3 xf(x)=e2x−3x, find f′f^{\prime}f′ and f′′f^{\prime \prime}f′′

Problem 2142

1. a) Find the value of mmm if lim⁡x→0mx+3x24x−8x2=3\lim _{x \rightarrow 0} \frac{m x+3 x^{2}}{4 x-8 x^{2}}=3limx→0​4x−8x2mx+3x2​=3.

Problem 2143

Problem 2144

Solve sin⁡(2x)cos⁡(5x)−cos⁡(2x)sin⁡(5x)=−0.4\sin (2 x) \cos (5 x)-\cos (2 x) \sin (5 x)=-0.4sin(2x)cos(5x)−cos(2x)sin(5x)=−0.4 for the smallest positive solution. x=x=x=Give your answer accurate to two decimal places.

Problem 2145

新, Find the distance between the points $(1,7)$ and $(10,2)$ . [8] Round decimals to the nearest tenth. $\square$ units Submit

Solve the following inequality. $(x-1)(x-2)(x-3) \geq 0$
The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers

Correct
Use integration by substitution to solve the integral below. Use C for the constant of integration. $\int \frac{-6(\ln (y))^{3}}{y} d y$
Answer

(b) $12 \cot ^{2} \theta-4=0$

14 2 3 4 5 6 7 8
What is the value of $x$ in the equation below? $\frac{1}{3}(12 x-24)=16$ 2 6 8 10

$73 \div 20=$

Find $f^{\prime}(x)$ for $f^{\prime}(x)=\square \quad f(x)=\frac{5\left(x^{2}+2\right) \cot (x)}{1-\cos (x) \csc (x)}$

$24 \times 8 =$

$m^{-4}=n$

b) $g(s)=16^{4} . \quad g^{\prime}(s)=$

Evaluate the given integral by changing to polar coordinates. $\iint_{D} 2 x^{2} y d A$ , where $D$ is the top half of the disk with center the origin and radius 4.

$24 x^{2}+62 x+33=(a x+b)(c x+d)$
What is the value of $a$ ? [Select ] $\square$
What is the value of $b$ ? [ Select ] $\square$
What is the value of $c$ ? $\square$ [Select]
What is the value of $d$ ? [Select] $\square$

2] Given that $\cos \theta=\frac{3}{8}, f$ A] $\sin \left(90^{\circ}-\theta\right)$

Add and simplify. $\begin{array}{l} (4+\sqrt{-16})+(9+\sqrt{-36}) \\ (4+\sqrt{-16})+(9+\sqrt{-36})= \end{array}$ $\square$ (Simplify your answer. Type your answer in the form a +bi .)

4. $-\frac{5}{6} x-\frac{1}{9} x=-102$

Factor the following expression completely: $3 w^{2}-19 w-14=$ $\square$ Question Help: Message instructor Submit Question
Question 10 Factor the following expression completely: $3 x^{2}-11 x-20=$ $\square$

Given the function $C(x)=(x-6)(x+2)(x-5)$ its $C$ -intercept is $\square$ its $x$ -intercepts are $\square$ Question Help: Video Check Answer

Fill in the blank. The period of $y=\tan x$ is $\square$

can be stated as the set of points whose alstan $|2 x| \geq 10$ $\qquad$ Is greater than or equal to $\qquad$ -7/2;5 -7/2;10 7/2;10 7/2;5 Hang Oryng

$y = x^4 \sqrt[5]{\frac{x+1}{x-1}}$

Fill in the blank. The period of $y=\csc x$ is $\square$

Watch Video
Write an equivalent expression by distributing the "-" sign outside the parentheses: $-(-4.2 r-s+3.9)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

Evaluate the definite integral (if it exists) $\int_{e}^{e^{4}} \frac{-6}{x \sqrt{\ln (x)}} d x$
If the integral does not exist, type "DNE".

Put the following equation of a line into slope-intercept form, simplifying all fractions. $4 y-4 x=-36$

Solve the given equation. $\left(\frac{7}{8}\right)^{y}=\frac{9}{11}$ $y=$ $\square$ [Round your answer to 4 decimal places.]

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 y-4 x=100$

Solve $3 x^{3}+3 x^{2}-30 x+24>0$

$\left.\frac{\cos ^{2} A}{\sin A(1+\csc A)}+\sin A\right)=1$

Solve the equation. $x=i$ i

Enter the smallest integer n so that the following function is $\mathrm{O}\left(\mathrm{x}^{\mathrm{r}}\right.$ ). $f(x)=x^{2}\left(x^{3}+1\right)+x^{5} \log (x)$

Solve the equation. $1.079^{x}=4.13$
Round your answer to three decimal places.

Example 8: If $f(x)=e^{2 x}-3 x$ , find $f^{\prime}$ and $f^{\prime \prime}$

1. a) Find the value of $m$ if $\lim _{x \rightarrow 0} \frac{m x+3 x^{2}}{4 x-8 x^{2}}=3$ .

Solve $\sin (2 x) \cos (5 x)-\cos (2 x) \sin (5 x)=-0.4$ for the smallest positive solution. $x=$
Give your answer accurate to two decimal places.

$2 b^{2}=b+6$

Find the complete solution or there is no solution, enter NO SOLUTION.) $\begin{array}{r} x-2 y+z=5 \\ 2 x-5 y+6 z=11 \\ 2 x-3 y-2 z=9 \end{array}$ Need Help? Read It Master It

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

If $X$ represents a random variable coming from a normal distribution with mean 3 and if $P(X>4.1)=0.23$ , then $P(3<X<4.1)=0.27$ . True False

11. The equation $f(x)=7 a^{2+x}-b$ , has an $x$ - intercept equivalent to A. $x=\frac{\log b-\log 7}{\log a}-2$ B. $x=7 a^{2}-b$ C. $x=\frac{y+b}{7 a^{2}}$ D. $x=0$

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

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

39/45 $-3=\frac{8+2 x}{-12}$
Write your answer as a number only! Do not write " $x=$ "

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

Fill in the missing number. $100 \%$ of $\square$ $=70$
Submit

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

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

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

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

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

Write the domain in interval notation. $k(x)=\ln \left(x^{2}+7\right)$
The domain is $\square$ .

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

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