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Problem 30101

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. Previous

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Problem 30102

Given: $\overline{A F} \cong \overline{F C}, \angle A B E \cong \angle E B C$ Which line is the angle bisector?

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Problem 30103

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

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Problem 30104

$\text { [6 } 3348663186 \text { 8] }$
How many comparisons will be performed in this array using sequential search for the searchltem 6? 7 2 1 4 3 6 5 0

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Problem 30105

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
Answer Attempt 1 out of 20

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Problem 30106

78. If $f(x)=\ln (x)$ and $g$ is a differentiable function with domain $x>0$ such that $\lim _{x \rightarrow \infty} g(x)=\infty$ and $g^{\prime}$ has a horizontal asymptote at $y=4$ then $\lim _{x \rightarrow \infty} \frac{f(x)}{g(x)}$ is A. 0 B. -4 C. 4 D. nonexistent

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Problem 30107

2. How many ways can the letters of ALOHA be arranged if: a) the A's must be together? (2 marks)
AA $\qquad$ - $4!=24$ b) the A's cannot be together? (1 mark) $\qquad$ A $\qquad$ A $\qquad$ $3!=$ $\square$ 6 c) each arrangement must begin with a vowel and the consonants cannot be together? (2 marks) A.A. 0 L. H $\qquad$ $L H$

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Problem 30108

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

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Problem 30109

The mass of a colony of bacteria, in grams, is modeled by the function $P$ given by $P(t)=2+5 \tan ^{-1}\left(\frac{t}{2}\right)$ , where $t$ is measured in days. What is the instantaneous rate of change of the mass of the colony, in grams per day, at the moment the colony reaches a mass of 6 grams? (A) -0.606 (B) 0.250 (C) 1.214 (D) 1.942

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Problem 30110

$\text{Find the slope of the line that passes through each set of points: } (4, 4) \text{ and } (6, 6). \text{ Find the answer below and decorate the stocking with the features listed.}$

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Problem 30111

This model shows a unit square divided into smaller square tiles. $1 \text { unit }$
Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation. $\square$ $\square$ $\square$

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Problem 30112

As a town gets smaller, the population of its high school decreases by $7 \%$ each year. The senior class has 320 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation.
Write an equation to represent this situation. Let $t$ be the number of years before the class will have 100 students. $\square$ (Type an equation using $t$ as the variable. Use integers or decimals for any numbers in the equation.) Solve the equation. $\ln t=$ $\square$ years the senior class will have about 100 students. (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 30113

1. Order: 500 mg
Supply on Hand: $250 \mathrm{mg} / \mathrm{tab}$

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Problem 30114

6. Two masses are tied to a rope on a pulley, as shown below. a. When the system is released from this position, what is the acceleration of the 2.0-kg mass? b. How long does it take for the $2.0-\mathrm{kg}$ mass to fall to the floor?

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Problem 30115

$\begin{array}{l} c=17 \\ B=29^{\circ} \end{array}$

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Problem 30116

Problem 6 Sothy plans to walk 10000 steps.
He starts his walk at 8:00 AM.
At 8:23 AM, his phone tells him that he has taken 2000 steps.
If he continues at this rate, when will he reach 10000 steps? Submit

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Problem 30117

Solve the right triangle.

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Problem 30118

A b=1.49, c 7.42 b B וה U

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Problem 30119

90. What is the absolute minimum value of $y=\frac{4}{3} x^{3}-8 x^{2}+15 x$ on $1 \leq x \leq 3$ ? A. 0 $f(x)^{1}=4 x^{2}-16 x+15$ B. $\frac{25}{3}$ C. 9 $\begin{array}{ll} f(1)=\frac{25}{3} & 4 x^{2}-10 x-6 x+15 \\ 1(3)=9 & 2 x(2 x-5)-3(2 x-5) \end{array}$ D. $\frac{52}{3}$ $\begin{array}{ll} f(3)=9 & 2 x(2 x-5)-3(2 x-5 \\ f \mid 5)=\frac{25}{3} & (2 x-3)(2 x-5) \end{array}$

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Problem 30120

A bug has fallen into a whirlpool, and it's distance from the center is given by: $r=\theta$ , where $0 \leq \theta \leq 4 \pi$ It is being sucked from the outside towards the center of the swirl in the whirlpool.
What is the horizontal component of the bug's location, after it has spun through an angle of $\frac{11 \pi}{6}$ radians? $x=-4.68$ $x=5.89$ $x=4.99$ $x=9.56$

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Problem 30121

```latex \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{1}{|c|}{ Artikelbez. } & Artikelnr. & Einzelpreis & Anzahl & Gesamtpreis \\ \hline Drucker IP 236 & 120478 & 235,70\,€ & 2 & 471,42\,€ \\ \hline Monitor 17 Zoll & 524712 & 365,80\,€ & 3 & 1097,90\,€ \\ \hline CD-Rohling & 258413 & 0,75\,€ & 200 & 150\,€ \\ \hline Infrarot-Maus & 569322 & 10,75\,€ & 5 & 53,75\,€ \\ \hline Toner-Kartusche IC 23 & 442523 & 99,85\,€ & 4 & 395,40\,€ \\ \hline \end{tabular}
Netto
19 \% MwSt.
Brutto
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
assistant: Hallo! Es sieht so aus, als ob du eine Tabelle mit Artikeldetails und Preisen vor dir hast. Kannst du mir bitte genauer sagen, welche Berechnung oder Information du benötigst? Möchtest du vielleicht den Gesamtbetrag inklusive Mehrwertsteuer berechnen oder gibt es eine andere spezifische Aufgabe, bei der ich dir helfen kann? Lass es mich wissen!
user: Ja
assistant: Super! Um dir besser helfen zu können, brauche ich eine klarere Vorstellung davon, was genau du berechnen möchtest. Geht es darum, den Gesamtbetrag inklusive Mehrwertsteuer zu ermitteln, oder gibt es etwas anderes, das du bearbeitet haben möchtest? Bitte teile mir mit, worauf du hinaus willst.
user: I uploaded an image and extracted the following: * Text: \begin{tabular}{|l|r|r|c|c|} \hline \multicolumn{1}{|c|}{ Artikelbez. } & Artikelnr. & Einzelpreis & Anzahl & \multicolumn{1}{c|}{ Gesamtpreis } \\ \hline Drucker IP 236 & 120478 & 235,70\,€ & 2 & 471,42\,€ \\ \hline Monitor 17 Zoll & 524712 & 365,80\,€ & 3 & 1097,40\,€ \\ \hline CD-Rohling & 258413 & 0,75\,€ & 200 & 1,50\,€ \\ \hline Infrarot-Maus & 569322 & 10,75\,€ & 5 & 53,75\,€ \\ \hline Toner-Kartusche IC 23 & 442523 & 99,85\,€ & 4 & 395,40\,€ \\ \hline \end{tabular}
Netto 19 \% MwSt. Brutto $\square$ $\square$ $\square$ ```

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Problem 30122

Plot the point $(5,-1)$ and identify the quadrant.
Click on the graph to plot a point. Click a point to delete it.

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Problem 30123

9. $6 x+8=50$

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Problem 30124

11. $13=-4 k+9$

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Problem 30125

Question Watch V
Find the median and mean of the data set below: $47,15,6,49,45,30$
Answer Attempt 1 out of 2
Median = $\square$ Mean = $\square$ Submit Answer

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Problem 30126

4. $x^{2}-16=0$

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Problem 30127

The perimeter of a triangle is 107 m . The second side is three times as long as the first side. The third side is 5 m shorter than than the second side. How long is each side.
Determine the length of each side of the triangle. The first side is $\square$ m
The second side is $\square$ m.
The third side is $\square$ m

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Problem 30128

Find the vector of stable probabilities for the Markov chain whose transition matrix is $\begin{array}{c} {\left[\begin{array}{ccc} 0.1 & 0.8 & 0.1 \\ 1 & 0 & 0 \\ 1 & 0 & 0 \end{array}\right]} \\ W= \end{array}$ $\square$ $\square$

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Problem 30129

Solve the Inequality. $y+7<-6$
The inequality is $\square$

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Problem 30130

Find the unknown angle measures.

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Problem 30131

Find the derivative of the function $f(x)=\frac{e^{x}+1}{9(x) e^{x}-1}$ . Simplify your answer.

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Problem 30132

\begin{tabular}{|c||c|c|c|c|} \hline $x$ & -3 & -2 & -1 & 1 \\ \hline $f(x)$ & $-\frac{5}{2}$ & -3 & -2 & $\frac{2}{3}$ \\ \hline $f^{\prime}(x)$ & -1 & $\frac{1}{3}$ & $\frac{6}{5}$ & $\frac{4}{3}$ \\ \hline \end{tabular}
The table above gives values of the differentiable function $f$ and its derivative for selected values of $x$ . (a) Let $g$ be the function defined by $g(x)=\frac{f\left(x^{2}\right)}{e^{x}}$ . Find $g^{\prime}(-1)$ .
No response entered (b) Let $h$ be the function defined by $h(x)=f(f(-2 x))$ . Find $h^{\prime}(1)$ .
No response entered (c) Let $k$ be the function defined by $k(x)=f(x) \cdot \arcsin \left(\frac{x}{2}\right)$ . Find $k^{\prime}(-1)$ .

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Problem 30133

Use logarithmic differentiation to differentiate each function with respect to $x$ . You do not need to simplify or substitute for $y$ . $y=\frac{\left(x^{2}+4\right)^{3}}{\left(2 x^{4}-1\right)^{5} \cdot\left(4 x^{9}+5\right)^{6}}$ A) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{160 x^{3}}{2 x^{4}-1}-\frac{864 x^{8}}{4 x^{9}+5}\right)$ B) $\frac{d y}{d x}=y\left(\frac{18 x}{x^{2}+4}-\frac{80 x^{3}}{2 x^{4}-1}+\frac{432 x^{8}}{4 x^{9}+5}\right)$ C) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{40 x^{3}}{2 x^{4}-1}+\frac{864 x^{8}}{4 x^{9}+5}\right)$ D) $\frac{d y}{d x}=y\left(\frac{6 x}{x^{2}+4}-\frac{40 x^{3}}{2 x^{4}-1}-\frac{216 x^{8}}{4 x^{9}+5}\right)$

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Problem 30134

[4] If $A^{-1}=\left[\begin{array}{cc}3 & 2 \\ -1 & 1\end{array}\right]$ and $B^{-1}=\left[\begin{array}{cc}1 & -1 \\ -3 & 4\end{array}\right]$ , and $(A B)^{-1}=\left[\begin{array}{ll}x & z \\ y & h\end{array}\right]$ , then $x+y+z+h$ a) -10 b) 3 c) 8 d) 20 [5] If $\left|\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right|=-3$ , then $\operatorname{det}\left(2\left[\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right]\right)=$ a) -6 b) -48 c) -12 d) -32 [6] The linear system given by $A X=B$ where $A$ is $2 \times 2$ square matrix, $A_{x}=\left[\begin{array}{cc}2 & -1 \\ 6 & 1\end{array}\right]$ and $A_{y}=\left[\begin{array}{ll}3 & 2 \\ 1 & 6\end{array}\right]$ , then $X=$ a) $\left[\begin{array}{l}2 \\ 4\end{array}\right]$ b) $\left[\begin{array}{c}-2 \\ 4\end{array}\right]$ c) $\left[\begin{array}{l}4 \\ 2\end{array}\right]$ d) $\left[\begin{array}{l}-4 \\ -2\end{array}\right]$
Q2: Write (T) for the correct statement and (F) for the false one [1] $\qquad$ If $|A|=\left|A^{-1}\right|$ then $|A|$ must equal to 1. [2] $\qquad$ If $A=[-\sqrt{2}]$ then $A^{-1}=\left[-\frac{\sqrt{2}}{2}\right]$ [3] $\qquad$ $3 A^{\mathrm{T}} A$ is a symmetric matrix. [4] $\qquad$ The matrix $A=\left[\begin{array}{cccc}1 & 5 & -3 & 0 \\ 0 & -2 & 0 & 8 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & 2\end{array}\right]$ is singular.

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Problem 30135

7. The circular pool in a park is undergoing improvement work. Workers build a fence in the shape of a square outside the pool, as shown in Figure 1.
Figure 1
Figure 2 $\begin{array}{l} \begin{array}{r} 3.14 \\ \times 18 \\ 3.140 \end{array} 314 \\ + \times 138 \\ \hline \\ \hline 565.20 \end{array}$ (a) The length of the fence is 180 m . What is the circumference of the circular pool? (Show your steps) (Take $\pi=3.14$ ) (b) The workers build a path of width 3 m around the fence, as shown in Figure 2. What is the of this path? $\int m^{2}$
Answer: The area of this path is $2196 \mathrm{~m}^{2}$ $\qquad$ . (Give the answer with a unit) Page 11 of 11

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Problem 30136

The input voltage $\mathrm{X}_{(t)}$ ), and output voltage $\mathrm{Y}_{(t)}$ of an electrical system are sampled simultaneously at regular intervals with the following results. $\begin{array}{r} n=0,1,2, \quad 3, \quad 4,5,6,7,8,9, \ldots \\ X(n T)=15,10,6,2, \quad 1,0,0,0,0,0, \ldots \\ Y(n T)=15,15,7.5,-2.75,-2.5, \cdots, \cdots,-,-\ldots \end{array}$
Calculate the missing values of the output voltage $\mathrm{Y}(\mathrm{nT})$ above. Mint: Assume that $\mathrm{X}(\mathrm{t})=0$ for $\mathrm{t}<0$ , and that only nonzero imputse response samples are $\mathrm{h}(\mathrm{n})$ , for $0 \leq \mathrm{n} \leq 4$ .

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Problem 30137

Let $g$ be the function defined by $g(x)=\left(x^{2}-x+1\right) e^{x}$ . What is the absolute maximum value of $g$ on the interval $[-4,1] ?$ (A) 1 (B) $e$ (C) $\frac{3}{e}$ (D) $\frac{21}{e^{1}}$ https://apclassroom.collegeboard.org/25/assessments/results/62905152/performance/591...

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Problem 30138

tentukan $\frac{\partial w}{\partial t}$ dengan aturan rantai dan ungkapkan Jawaban akhir dalam bentuk $s$ dan $t$ .
12. $w=e^{x y+z} ; x=s+t, y=s-t, z=t^{2}$ .

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Problem 30139

8.1 .00 9.1 .00 10.1 .00 11.1 .00 12.1 .00 13.1 .00 14.1 .00

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Problem 30140

Given $\triangle K L M \sim \triangle N O M$ . Enter segments in the blanks provided that would result in a true equation.
Answer $\frac{\mathrm{KL}}{\mathrm{LM}}=$ Submit Answer

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Problem 30141

Find the derivative. $y=\frac{\ln (6 x+7)}{e^{6 x+7}}$
Select one: A. $\frac{1-6[\ln (6 x+7)]^{2}}{\ln [6 x+7] e^{(6 x+7)}}$ B. $\frac{1}{(6 x+7) e^{(6 x+7)}}$ C. $\frac{6-(36 x+42) \ln (6 x+7)}{(6 x+7) e^{(6 x+7)}}$ D. $\frac{1-(6 x+7) \ln (6 x+7)}{(6 x+7) e^{(6 x+7)}}$

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Problem 30142

10) The improper integral $\int_{0}^{\infty} \frac{16 \tan ^{-1} x}{1+x^{2}} d x$ A) diverges B) converges to $2 \pi^{2}$ C) converges to $\frac{1}{2} \pi^{2}$ D) converges to $\frac{3}{2} \pi^{2}$ E) NOTA

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Problem 30143

Provious Noxt Sample Space and Venn Diagrams: Mastery Submit Test Tools Into 3
Select the correct answer. Two events, $E_{1}$ and $E_{2}$ , are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment? A. $P\left(E_{1}\right)-P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right)$ B. $P\left(E_{1}\right)+P\left(E_{2}\right)-2 P\left(E_{1} \cap E_{2}\right)$ C. $P\left(E_{1}\right)+P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right)$ D. $P\left(E_{1}\right)+P\left(E_{2}\right)+P\left(E_{1} \cap E_{2}\right)$

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Problem 30144

The acceleration, in meters per second per second, of a race car is modeled by $A(t)=t^{3}-\frac{15}{2} t^{2}+12 t+10$ , where $t$ is measured in seconds. What is the car's maximum acceleration on the time interval $0 \leq t \leq 6$ ? (A) The maximum acceleration of the race car is 2 meters per second per second and occurs at $t=4$ seconds.
B The maximum acceleration of the race car is 6 meters per second per second and occurs at $t=28$ seconds. C. The maximum acceleration of the race car is 15.5 meters per second per second and occurs at $t=1$ second. (D) The maximum acceleration of the race car is 28 meters per second per second and occurs at $t=6$ seconds.

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Problem 30145

Use the square root property to solve the Quadratic Equation. $2(x-4)^{2}=200$

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Problem 30146

7) A biologist predicted that the population of tadpoles in a pond could be modelled by the function $f(x)=\frac{40 x}{x+7}$ , where x is given in days and $0 \leq x \leq 10$ . The function that actually models the tadpole population is $g(x)=\frac{80}{(x+7)(x+1)}$ for $0 \leq x \leq 10$ . Determine when $\mathrm{f}(\mathrm{x}) \geq \mathrm{g}(\mathrm{x})$ .

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Problem 30147

4. Determine the value of missing side length for the following right triangle.

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Problem 30148

Given two points, $(3,3)$ and $(1,-3)$ , write the equation of the line passing through these points.

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Problem 30149

5. $\begin{aligned} y & =-2 x+2 \\ & y=7 x+11\end{aligned}$

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Problem 30150

Mitosis is a process of cell reproduction in which one cell divides into two identical cells. $E$ , coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begir with 100 E. coli bacteria, how many will there be in 1 hour? a. 1200 bacteria c. 1500 bacteriá b. 1400 bacteria d. 1600 bacteria
Please select the best answer from the choices provided A B C D

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Problem 30151

Exercice 4 Soit la suite $\left(U_{n}\right)$ définiepar $\left\{\begin{array}{c}U_{0}=\frac{2}{3} \\ U_{n+1}=\frac{1}{2} U_{n}+\frac{n}{2 \sqrt{2}}+\frac{1}{\sqrt{2}}\end{array}\right.$
1. Calculer $U_{1}, U_{2}$ et $U_{3}$
2. On pose: $\forall n \geq 0 \quad V_{n}=U_{n} \sqrt{2}-n$ . a. Calculer $V_{0}, V_{1}$ et $V_{2}$ b. Montrer que $\left(V_{n}\right)$ est une suite géométrique c. Exprimer $\boldsymbol{V}_{\boldsymbol{n}}$ puis $\boldsymbol{U}_{\boldsymbol{n}}$ en fonction de $\boldsymbol{n}$ d. Calculer en fonction de $n: S_{n}=\sum_{k=0}^{k=n} v_{k}$

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Problem 30152

A. B. C. $x \leq-3$ and $x \geq 5$ D. $x<-3$ and $x>5$ F. $(-\infty,-3] \cup[5, \infty)$ E. $\mathbb{R}$ G. $(-\infty,-3) \cup(5, \infty)$ H. All real numbers I. No solutions
The questions in this level are taken directly from the Units 3 and 4 Review in "Activity: Review by Unit." Only proceed if you have completed that section of the activity.
Solve the compound inequality $4 x+1 \leq-11$ and $-3 x+1<-14$ . Which of the options shown accurately represent(s) the solutions?

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Problem 30153

Ready Solve Problems with Ratios and Unit Rates - Instruction - Level F
Avery and Carmen both have summer jobs. Avery gets paid $\$ 360$ every 4 weeks. Carmen gets paid $\$ 480$ every 6 weeks. Summer break lasts a total of 12 weeks. Who will earn more money during summer break?
Find the amount Avery and Carmen each earn in 1 week. Avery earns \ $?$ \square$ per week.
Carmen earns \ $?$ \square$ per week.

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Problem 30154

Unanswered
Question 11 Not yet graded / 1 pts
Evaluate the following improper integral if it is convergent. If it is not convergent, write divergent $\int_{0}^{\infty} e^{-2 x} d x$
Your Answer:

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Problem 30155

Find $x$ . $2 \sqrt{3}$ $8 \sqrt{3}$ 8

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Problem 30156

$3 x^{2}=5-4 x$

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Problem 30157

Jeffrey has a plot of land where he would like to build three fenced areas for his horses. He wants two areas to be congruent in size and a third area to have side lengths 2 times the length of the sides of the other two An image is shown with rectangles $W N Y F$ and $R B Y F$ representing the congruent fenced areas and rectangle $L B N K$ representing the larger similar area.
Given that $W N Y F \cong R B Y F, R B Y F \sim L B N K, W N=F Y, F W=Y N, F R=7 x+7.8, W N=13 y-25.4, L B=17 y+1.4$ , and $K L=21 x-16.6$ , what is the perimeter of the entire plot of land, rectangle $W K L R$ ? $\square$ feet

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Problem 30158

ber line represents the solution to the absolute value inequality $|2 x|+6 \geq 16$ ? $\begin{array}{lllll:llllllllllllllll} \\ -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\end{array}$ -10

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Problem 30159

The diameter of a cylindrical water tank is 9 ft , and its height is 11 ft . What is the volume of the tank? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft

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Problem 30160

A car has a velocity of $36 \mathrm{~m} / \mathrm{s}$ , and can accelerete at $22 \mathrm{~m} / \mathrm{s}^{2}$ . How much time will it take for him to reach $81 \mathrm{~m} / \mathrm{s}$ ? 3.48 seconds 2.05 seconds 0.17 seconds 1.64 seconds

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Problem 30161

Derivatives of Inverse Trig Functions Score: 0/1 Penalty: none
Question Watch Video
If $f(x)=\sin ^{-1}(x)$ , then what is the value of $f^{\prime}\left(\frac{4}{5}\right)$ in simplest form?
Answer Attempt 1 out of 5 $\square$ Submit Answer

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Problem 30162

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 Inches and a helght of 4 Inches. If the company used 3278.16 in ${ }^{3}$ of wax, how many candles did it make?
Use 3.14 for $\pi$ , and do not round your answer. candles

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Problem 30163

Question A roclangular photograph that is 5 inches wide and 7 inches long is enlarged to produce a photograph is 12 inchos wide. If the enlarged photograph is in proportion to the original, what is the length, in inche the enlarged pholograph? $\frac{35}{12}$ $\frac{84}{5}$ 8 12 Type here to search

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Problem 30164

The cone and cyllinder shown below have congruent bases and equal helghts.
Complete the following. (a) Volume of the cone: $\mathrm{mm}^{3}$ (b) Volume of the cylinder: $\square \mathrm{mm}^{3}$ (c) Volume of the cylinder $=\square \times$ volume of the cone This equation is true only for the cylinder and cone shown above. This equation is true for all cylinders and cones. This equation is true for all cylinders and cones with congruent bases and equal helghts.

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Problem 30165

A company uses paper cups shaped like cones for its water cooler. Each cup has a helght of 6 cm , and the base has a dlameter of 7 cm . How much water is needed to fill 200 cups?
Use 3.14 for $\pi$ , and do not round your answer. $\mathrm{cm}^{3}$

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Problem 30166

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros $\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.$ . (4 valores).

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Problem 30167

$016 \quad 10.0$ points An outfielder throws a 1.73 kg baseball at a speed of $108 \mathrm{~m} / \mathrm{s}$ and an initial angle of $14.3^{\circ}$ .
What is the kinetic energy of the ball at the highest point of its motion?
Answer in units of J .

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Problem 30168

Solve each triangle. Round your answers to the nearest tenth. Use Law of Cosines. 7) Find AC

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Problem 30169

Quiz Active $\theta$ a 0 i 5 6 7 8 9 10
Lisa created the table below to show how different students get to school. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ How Students Get to School } \\ \hline & Bus & Bike & Total \\ \hline $7^{\text {th }}$ Grade & 79 & & 128 \\ \hline $8^{\text {th }}$ Grade & 83 & & 112 \\ \hline Total & 162 & & \\ \hline \hline \end{tabular}
According to the table, how many students in the seventh grade bike to school? 29 49 78 83

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Problem 30170

DPS Name: The solutions to the equation $3 x^{2}-4 x+2=2 x-3$ are $1 \frac{2}{3} \pm \frac{\sqrt{2}}{3} i$ $21 \pm \frac{\sqrt{6}}{3} i$ $31 \pm \frac{\sqrt{12}}{3}$ $41 \pm 2 \sqrt{6} i$
From the reference sheet: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Problem 30171

slove for aictace ond ongle os elvatian

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Problem 30172

$y^{2} d x+\left(2 x y-y^{2} e^{y}\right) d y=0$ exacl

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Problem 30173

Liana is putting tile behind the stove in her kitchen. The base pattern of the tile, polygon $R W M K T$ , is made up of two congruent rhombi, RHLY and $K T Y L$ , and a similar rhombus, HWMK, that has side lengths that are $\frac{3}{2}$ times the side lengths of the smaller rhombi. A partial image of the tile pattern is shown
Given that $R H L Y \cong K T Y L, R H L Y \sim H W M K, R H=Y L, Y L=T K, W H=M K, H L=(y+0.5)$ inches (in.), $L Y=(3 x-0.2)$ in., $W M=(3 y-1.5)$ in., $M K=(5 x-0.7)$ in., and $R Y=(5 x)$ in., what is the perimeter of one base pattern, $R W M K T$ ? $\square$ inches

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Problem 30174

A car accelerates from rest at $4.4 \mathrm{~m} / \mathrm{s}^{2}$ . How much time does it need to attain a speed of $5 \mathrm{~m} / \mathrm{s}$ ?
Answer in units of s. Answer in units of s.

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Problem 30175

If this triangle is reflected over the line $y=k$ , what are the coordinates for $y$ ? $(-2,-6)$ $(-6.2)$ 125 (6.2)

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Problem 30176

If you rotate this triangle 180 degrees counterclockwise, what are the coordinates for point $K$ $(6,-6)$ $(-6,6)$ $(-6,-6)$ $(6,6)$

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Problem 30177

Choose the correct answer : (5 points) 1) A particular solution for the differential equation $y^{(4)}+y^{(3)}=2+4 e^{x}$ is (a) $\mathrm{A}+\mathrm{B} \mathrm{e}^{\mathrm{x}}$ (b) $\mathrm{A}+\mathrm{Bx}+\mathrm{Cx}^{2}+\mathrm{D} \mathrm{e}^{\mathrm{x}}$ (c) $\mathrm{Ax}^{2}+\mathrm{Bx}^{2} \mathrm{e}^{\mathrm{x}}$ (d) $\mathrm{Ax}^{2}+\mathrm{Be}^{\mathrm{x}}$ e)NOTA 2) The solution for the I.V.P $\sin (t) y^{\prime \prime \prime}+\frac{1}{t-3} y^{\prime \prime}+e^{t} y=t^{3} \quad y(1)=0 \quad y^{\prime}(1)=1 \quad y^{\prime \prime}(1)=-1$ is guaranteed on a) $(0,3)$ b) $(0, \pi)$ c) $(-\infty, 3)$ d) $(-\infty, \infty)$ 3) If a series solution is to be found for $y^{\prime \prime}-4 x y^{\prime}+4 y=0, y(0)=2, y^{\prime}(0)=3$ then $\mathrm{a}_{2}=$ (a) -4 (b) 8 (c) -8 (d) 1 e)NOTA 4)Suppose the solution to the differential equation $y^{\prime \prime}+3 y=0$ is written as a power series $y=\sum_{n=0}^{\infty} a_{n} x^{n}$ What is the lower bound of the radius of convergence of this power series? a) 0 b)1 c)2 d) 3 e) $\infty$ 5) The general solution for $y^{\prime \prime \prime}+9 y^{\prime}=0$ is : a) $c_{1}+c_{2} \cos t+c_{3} \sin t$ b) $c_{1}+c_{2} t+c_{3} e^{9 t}$ c) $c_{1}+c_{2} e^{3 t}+c_{3} e^{-3 t}$ d) $c_{1}+c_{2} e^{3 t}+c_{3} t e^{3 t}$ e)NOTA

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Problem 30178

(d) $\int_{1}^{e} \frac{d}{d x}\left[\frac{x \ln x}{1+x^{2}}\right] d x$

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Problem 30179

8. Write the equation of the line in point slope form that contains $P(3,-6)$ and is parallel to $y=-4 x+$ A) $y-3=\frac{1}{4}(x+6)$ E) $y+6=-4(x-3)$ D) $y-6=-4(x-3)$
9. Write the equation of the line that contains $\mathrm{P}(-1,6)$ and is perpendicular to $y=\frac{1}{2} x+2$ ? A) $y=\frac{1}{2} x+\frac{13}{2}$ B) $y=2 x+8$ D) $y=-\frac{1}{2} x+\frac{11}{2}$ E) none of these
Unit 2-Foundations of Geometry
10. Vertical angles are never A) congruent B) right angles C) adjacent D) supplementary E) complementary
11. Are $O, N$ , and $P$ collinear? If so, name the line on which they lie. A) Yes, they lie on the line $N P$ B) No, the three points are not collinear C) Yes, the lie on the line $M O$ D) Yes, they lie on the line MP $\square$

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Problem 30180

Pretest: Unit 5
Question 17 of 26 What is the degree of the polynomial given below? $F(x)=2 x^{3}-x^{2}+5 x-3$ A. 4 B. 5 C. 3 D. 2

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Problem 30181

Let $A, B$ be two independent events of a sample space, where $P(A)=0.4$ , $P(\bar{B})=0.6$ . Then $P(\bar{A} \cup B)=$ 0.8 0.2 0.76 0.18 None of these

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Problem 30182

Determine the coordinate of the point $P(x, y)$ after a rotation of 40 degrees about $(0,0)$ , from the point $(5,0)$ . Round to 1 decimal place.

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Problem 30183

Le diagramme ci-contre donne la répartition des 35 membres d'un club de tennis âgés au plus de 18 ans en fonction de leur âge. La barre du nombre d'adhérents de 17 ans a été effacée.
1. Combien d'adhérents ont 17 ans ?
2. Calculer la fréquence, sous forme décimale arrondie au centième, des adhérents qui ont 16 ans.

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Problem 30184

Find the exact value of $\cos \frac{\pi}{8}$ .

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Problem 30185

$B D$ is perpendicular to $\overline{A C}$ . Construct the orthocenter of $\triangle A B C$ .

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Problem 30186

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

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Problem 30187

The prime factor trees for 70 and 385 are given below. se the prime factor trees to find the highest common factor (HCF) of 70 and 385 .

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Problem 30188

The prime factor tree for 693 is given below. Draw the prime factor tree for 330 and use it to work out the highest common factor (HCF) of 330 and 693 .

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Problem 30189

Grade 7 Math Unit 3 Assessment 24-25 Question 2 Pause Zoom Question Normal
The number of gallons of water in a tank, $y$ , over a period of $x$ hours is shown in the graph below.
What is the constant of proportionality in this situation? A. 5 gallons per hour

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Problem 30190

2. [-/1 Points] DETAILS MY NOTES SCALCET8M 11.8.042. $0 / 3$ Submissions Used
Suppose that the radius of convergence of the power series $\sum c_{n} x^{n}$ is $R$ . What is the radius of convergence of the power series $\sum c_{n} x^{4 n}$ ? $\square$

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Problem 30191

Find the inverse of the function. $h(x)=4 x+2$

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Problem 30192

Calculate 17 - $(5+2 \times 3)$

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Problem 30193

2 Multivie Firswer 1 point Find all the circuits of length 2 . Choose all that apply- $A, D A$ F, H,F $A, B, A$ A,H,A C,DC F,G,F $D, E, D$ $B, C, B$ None of the above. G,H,G $B, D, B$ A,E,A

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Problem 30194

Which of these equations are true? I. $\sqrt{18}= \pm 3 \sqrt{2}$ II. $\sqrt{18}=3 \sqrt{2}$ 1) neither I nor II 36 2) II only 3) I and II 4) I only

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Problem 30195

Which of these equations are true?
1. $4 \sqrt{12}=13.856$ . II. $2 \sqrt{16}=4 \sqrt{4}$ III. $6 \sqrt{14}=22.449 \ldots$ 1) I only 2) II only 3) I and II 4) I, II, and III

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Problem 30196

What is the value of the expression below when $z=7$ and $w=4$ ? $6 z-6 w$

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Problem 30197

What is the value of $x$ in $\sqrt{x-11}=4$ ? 1) 5 2) 7 3) 27 4) 15

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Problem 30198

What is the value of $h$ in the figure below? In this diagram, $\triangle \mathrm{BAD} \sim \triangle \mathrm{CBD}$ . A. 400 B. $\frac{16}{9}$ C. 12 D. 16 E. $\frac{25}{9}$ F. $\sqrt{225}$

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Problem 30199

You have the following observations. Stock HJK will pay dividends $\$ 4$ per share next year. The S\&P 500 index return averages $10 \%$ a year and the rate on Treasury bill is at 6\%. You have downloaded data from Bloomberg and estimated the beta of Stock HJK at 1.25. A. What is the required rate of return? B. What is the price of the stock if the amount of dividends stays at $\$ 4$ per share forever?

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Problem 30200

What is the value of the expression below when $w=9$ and $x=5$ ? $10 w+4 x$

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Solve

Problem 30101

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. Previous

Problem 30102

Given: AF‾≅FC‾,∠ABE≅∠EBC\overline{A F} \cong \overline{F C}, \angle A B E \cong \angle E B CAF≅FC,∠ABE≅∠EBC Which line is the angle bisector?

Problem 30103

(4) What is xxx ?x2=169x^{2}=169x2=169 □\square□ x=−84.5x=−16\begin{array}{l} x=-84.5 \\ x=-16 \end{array}x=−84.5x=−16​ \qquad x^=−16x=−13\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}x^=−16x=−13​ □\square□ x=13x=13x=13x=16x=16x=16 \qquad x=84.5x=84.5x=84.5

Problem 30104

[6 3348663186 8] \text { [6 } 3348663186 \text { 8] } [6 3348663186 8] How many comparisons will be performed in this array using sequential search for the searchltem 6? 7 2 1 4 3 6 5 0

Problem 30105

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.Answer Attempt 1 out of 20

Problem 30106

Problem 30107

Problem 30108

6(w+1)−3w=3(w+42(3a−1)=4a+107b−3(b+2)=4b−115(c−2)+3c=4(2c+1\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}6(w+1)−3w=3(w+42(3a−1)=4a+107b−3(b+2)=4b−115(c−2)+3c=4(2c+1​

Problem 30109

Problem 30110

Problem 30111

This model shows a unit square divided into smaller square tiles. 1 unit 1 \text { unit }1 unit Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation. □\square□ □\square□ □\square□

Problem 30112

Problem 30113

1. Order: 500 mgSupply on Hand: 250mg/tab250 \mathrm{mg} / \mathrm{tab}250mg/tab

Problem 30114

6. Two masses are tied to a rope on a pulley, as shown below. a. When the system is released from this position, what is the acceleration of the 2.0-kg mass? b. How long does it take for the 2.0−kg2.0-\mathrm{kg}2.0−kg mass to fall to the floor?

Problem 30115

c=17B=29∘\begin{array}{l} c=17 \\ B=29^{\circ} \end{array}c=17B=29∘​

Problem 30116

Problem 6 Sothy plans to walk 10000 steps.He starts his walk at 8:00 AM.At 8:23 AM, his phone tells him that he has taken 2000 steps.If he continues at this rate, when will he reach 10000 steps? Submit

Problem 30117

Solve the right triangle.

Problem 30118

A b=1.49, c 7.42 b B וה U

Problem 30119

Problem 30120

Problem 30121

Problem 30122

Plot the point (5,−1)(5,-1)(5,−1) and identify the quadrant.Click on the graph to plot a point. Click a point to delete it.

Problem 30123

9. 6x+8=506 x+8=506x+8=50

Problem 30124

11. 13=−4k+913=-4 k+913=−4k+9

Problem 30125

Question Watch VFind the median and mean of the data set below: 47,15,6,49,45,3047,15,6,49,45,3047,15,6,49,45,30Answer Attempt 1 out of 2Median = □\square□ Mean = □\square□ Submit Answer

Problem 30126

4. x2−16=0x^{2}-16=0x2−16=0

Problem 30127

Problem 30128

Problem 30129

Solve the Inequality. y+7<−6y+7<-6y+7<−6The inequality is □\square□

Problem 30130

Find the unknown angle measures.

Problem 30131

Find the derivative of the function f(x)=ex+19(x)ex−1f(x)=\frac{e^{x}+1}{9(x) e^{x}-1}f(x)=9(x)ex−1ex+1​. Simplify your answer.

Problem 30132

Problem 30133

Problem 30134

Problem 30135

Problem 30136

Problem 30137

Problem 30138

tentukan ∂w∂t\frac{\partial w}{\partial t}∂t∂w​ dengan aturan rantai dan ungkapkan Jawaban akhir dalam bentuk sss dan ttt.12. w=exy+z;x=s+t,y=s−t,z=t2w=e^{x y+z} ; x=s+t, y=s-t, z=t^{2}w=exy+z;x=s+t,y=s−t,z=t2.

Problem 30139

8.1 .00 9.1 .00 10.1 .00 11.1 .00 12.1 .00 13.1 .00 14.1 .00

Problem 30140

Given △KLM∼△NOM\triangle K L M \sim \triangle N O M△KLM∼△NOM. Enter segments in the blanks provided that would result in a true equation.Answer KLLM=\frac{\mathrm{KL}}{\mathrm{LM}}=LMKL​= Submit Answer

Problem 30141

Problem 30142

10) The improper integral ∫0∞16tan⁡−1x1+x2dx\int_{0}^{\infty} \frac{16 \tan ^{-1} x}{1+x^{2}} d x∫0∞​1+x216tan−1x​dx A) diverges B) converges to 2π22 \pi^{2}2π2 C) converges to 12π2\frac{1}{2} \pi^{2}21​π2 D) converges to 32π2\frac{3}{2} \pi^{2}23​π2 E) NOTA

Problem 30143

Problem 30144

Problem 30145

Use the square root property to solve the Quadratic Equation. 2(x−4)2=2002(x-4)^{2}=2002(x−4)2=200

Problem 30146

Problem 30147

4. Determine the value of missing side length for the following right triangle.

Problem 30148

Given two points, (3,3)(3,3)(3,3) and (1,−3)(1,-3)(1,−3), write the equation of the line passing through these points.

Problem 30149

5. y=−2x+2y=7x+11\begin{aligned} y & =-2 x+2 \\ & y=7 x+11\end{aligned}y​=−2x+2y=7x+11​

Problem 30150

Given: $\overline{A F} \cong \overline{F C}, \angle A B E \cong \angle E B C$ Which line is the angle bisector?

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

$\text { [6 } 3348663186 \text { 8] }$
How many comparisons will be performed in this array using sequential search for the searchltem 6? 7 2 1 4 3 6 5 0

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
Answer Attempt 1 out of 20

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

This model shows a unit square divided into smaller square tiles. $1 \text { unit }$
Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation. $\square$ $\square$ $\square$

1. Order: 500 mg
Supply on Hand: $250 \mathrm{mg} / \mathrm{tab}$

6. Two masses are tied to a rope on a pulley, as shown below. a. When the system is released from this position, what is the acceleration of the 2.0-kg mass? b. How long does it take for the $2.0-\mathrm{kg}$ mass to fall to the floor?

$\begin{array}{l} c=17 \\ B=29^{\circ} \end{array}$

Problem 6 Sothy plans to walk 10000 steps.
He starts his walk at 8:00 AM.
At 8:23 AM, his phone tells him that he has taken 2000 steps.
If he continues at this rate, when will he reach 10000 steps? Submit

Plot the point $(5,-1)$ and identify the quadrant.
Click on the graph to plot a point. Click a point to delete it.

9. $6 x+8=50$

11. $13=-4 k+9$

Question Watch V
Find the median and mean of the data set below: $47,15,6,49,45,30$
Answer Attempt 1 out of 2
Median = $\square$ Mean = $\square$ Submit Answer

4. $x^{2}-16=0$

Solve the Inequality. $y+7<-6$
The inequality is $\square$

Find the derivative of the function $f(x)=\frac{e^{x}+1}{9(x) e^{x}-1}$ . Simplify your answer.

tentukan $\frac{\partial w}{\partial t}$ dengan aturan rantai dan ungkapkan Jawaban akhir dalam bentuk $s$ dan $t$ .
12. $w=e^{x y+z} ; x=s+t, y=s-t, z=t^{2}$ .

Given $\triangle K L M \sim \triangle N O M$ . Enter segments in the blanks provided that would result in a true equation.
Answer $\frac{\mathrm{KL}}{\mathrm{LM}}=$ Submit Answer

10) The improper integral $\int_{0}^{\infty} \frac{16 \tan ^{-1} x}{1+x^{2}} d x$ A) diverges B) converges to $2 \pi^{2}$ C) converges to $\frac{1}{2} \pi^{2}$ D) converges to $\frac{3}{2} \pi^{2}$ E) NOTA

Use the square root property to solve the Quadratic Equation. $2(x-4)^{2}=200$

Given two points, $(3,3)$ and $(1,-3)$ , write the equation of the line passing through these points.

5. $\begin{aligned} y & =-2 x+2 \\ & y=7 x+11\end{aligned}$

Unanswered
Question 11 Not yet graded / 1 pts
Evaluate the following improper integral if it is convergent. If it is not convergent, write divergent $\int_{0}^{\infty} e^{-2 x} d x$
Your Answer:

Find $x$ . $2 \sqrt{3}$ $8 \sqrt{3}$ 8

$3 x^{2}=5-4 x$

The diameter of a cylindrical water tank is 9 ft , and its height is 11 ft . What is the volume of the tank? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft

A car has a velocity of $36 \mathrm{~m} / \mathrm{s}$ , and can accelerete at $22 \mathrm{~m} / \mathrm{s}^{2}$ . How much time will it take for him to reach $81 \mathrm{~m} / \mathrm{s}$ ? 3.48 seconds 2.05 seconds 0.17 seconds 1.64 seconds

Derivatives of Inverse Trig Functions Score: 0/1 Penalty: none
Question Watch Video
If $f(x)=\sin ^{-1}(x)$ , then what is the value of $f^{\prime}\left(\frac{4}{5}\right)$ in simplest form?
Answer Attempt 1 out of 5 $\square$ Submit Answer

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 Inches and a helght of 4 Inches. If the company used 3278.16 in ${ }^{3}$ of wax, how many candles did it make?
Use 3.14 for $\pi$ , and do not round your answer. candles

A company uses paper cups shaped like cones for its water cooler. Each cup has a helght of 6 cm , and the base has a dlameter of 7 cm . How much water is needed to fill 200 cups?
Use 3.14 for $\pi$ , and do not round your answer. $\mathrm{cm}^{3}$

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros $\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.$ . (4 valores).

$016 \quad 10.0$ points An outfielder throws a 1.73 kg baseball at a speed of $108 \mathrm{~m} / \mathrm{s}$ and an initial angle of $14.3^{\circ}$ .
What is the kinetic energy of the ball at the highest point of its motion?
Answer in units of J .

$y^{2} d x+\left(2 x y-y^{2} e^{y}\right) d y=0$ exacl

A car accelerates from rest at $4.4 \mathrm{~m} / \mathrm{s}^{2}$ . How much time does it need to attain a speed of $5 \mathrm{~m} / \mathrm{s}$ ?
Answer in units of s. Answer in units of s.