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Problem 13501

Find two numbers $a$ and $b$ whose sum $a+b$ is 0 and whose difference $a-b$ is 10 . Your answer is $a=$ $b=$

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Problem 13502

■ Solve the equation below, for a. $a+b+c=d$ $a=d / b c$ $a=d+b+c$ $a=d-b-c$ $a=d b c$

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Problem 13503

27. Iron(III) oxide, $\mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{~s})$ , reacts with carbon monoxide to form solid iron and carbon dioxide in the following reaction: $\mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{~s})+3 \mathrm{CO}(\mathrm{~g}) \rightarrow 2 \mathrm{Fe}(\mathrm{~s})+3 \mathrm{CO}_{2}(\mathrm{~g})$
What mass (in grams) of carbon dioxide is produced from 12.4 g of iron(III) oxide?

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Problem 13504

the inverse of $A=\left(\begin{array}{cc} 3 & -5 \\ -2 & 3 \end{array}\right)$

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Problem 13505

Si una libra equivale a 1,25 euros, ¿a cuántos euros equivalen 875 libras? $987,75 €$ $1.256,75 €$ $1.093,75 €$ $1.135,75 €$

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Problem 13506

Si el precio de venta de un producto son $65 €$ y tenemos unos costes del $60 \%$ , ¿cuánto habremos ganado de margen de beneficio al vender 20 unidades? $460 €$ $480 €$ $500 €$ $520 €$

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Problem 13507

Si el precio actual de un disco de música son $20 €$ , pero éste aumenta su valor cada dos años en un $20 \%$ , ¿cuánto costará dentro de 6 años? $35 €$ $28 €$ $38 €$ $31 €$

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Problem 13508

antes facturaba $875 €$ y ahora factura $1250 €$ ?
40\% $45 \%$ $43 €$
47\%

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Problem 13509

Back to Home Score: 3/5 Penalty: none
Related Rates Practice Due: November 25 at 7:30 AM Grade: 65\% $\checkmark$ Related Rates - Rectangles $\checkmark$ Related Rates - Triangles Related Rates (One Formula) Related Rates (Two Formulas)
Watch Video Show Examples Question $\square$ $\square$ The radius of a cylinder is decreasing at a constant rate of 10 inches per minute, and the volume is decreasing at a rate of 4698 cubic inches per minute. At the instant when the height of the cylinder is 5 inches and the volume is 1175 cubic inches, what is the rate of change of the height? The volume of a cylinder can be found with the equation $V=\pi r^{2} h$ . Round your answer to three decimal places.
Answer Attempt 1 out of 4 $\qquad$ $\frac{i n}{\min }$ Submit Answer

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Problem 13510

In a company the price per unit is \ $500. If the fixed costs are$ \ $21000$ , and the cos of producing 6 units is \$22200 Find cost, revenue, profit.

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Problem 13511

For the function $f(x)=10(x+8)^{7}-10$ , find $f^{-1}(x)$ .

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Problem 13512

Find the zeros and multiplicity of the function $f(x) = 5x^3 - 30x^2 + 45x$ .

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Problem 13513

$\begin{array}{l}\mathrm{p}= \\ \mathrm{q}= \\ \mathrm{r}= \\ \mathrm{s}=\end{array}$

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Problem 13514

3) Find all solutions to the equations. List the solutions between $[0,2 \pi)$ .
24. $2 \sin ^{2} x-\cos x=1$

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Problem 13515

Question 5 of 13, Step 1 of 1 4/13 Correct
Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. $\log _{\frac{1}{2}}(16)$
Answer Tables
How to enter your answer (opens in new window)

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Problem 13516

$\square$ 3.Solve the inequality $|3 x| \geq 12$ . $x \geq 36$ or $x \leq-36$ $x \geq 4$ or $x \leq-12$ $x \geq 4$ or $x \leq-4$ $x \geq 12$ or $x \leq-4$

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Problem 13517

Solve each triangle. Round your answers to the nearest tenth. 13) 14) 15) $16)$
17 (s) $\qquad$

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Problem 13518

Question 1 0/5
Exponential Function Evaluation Given the function $f(x)=780(1.05)^{x}$ evaluate each of the following. Note: Round your answers to two decimal places as needed. \begin{tabular}{|l|l|} \hline A) Evaluate $f(-10)$ & $f(-10)=\square$ \\ \hline B) Evaluate $f(-5)$ & $f(-5)=\square$ \\ \hline C) Evaluate $f(0)$ & $f(0)=\square$ \\ \hline D) Evaluate $f(5)$ & $f(5)=\square$ \\ \hline E) Evaluate $f(10)$ & $f(10)=\square$ \\ \hline \end{tabular}
Question Help: $\square$ Video $\square$ Message instructor Submit Question

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Problem 13519

Question 4 $\$ 7000$ are invested in a bank account at an interest rate of 6 percent per year. Find the amount in the bank after 10 years if interest is compounded annually. $\square$ Find the amount in the bank after 10 years if interest is compounded quarterly. $\square$ Find the amount in the bank after 10 years if interest is compounded monthly. $\square$ Finally, find the amount in the bank after 10 years if interest is compounded contin $\square$ Question Help: Video Message instructor

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Problem 13520

128 Abiturprüfung 2017 (Bayern), Analysis, Prüfungsteil A, Aufgabengruppen 1 und 2, Aufgabe 2 Eine Funktion $f$ ist durch $f(x)=2 \cdot e^{\frac{1}{2} x}-1$ mit $x \in \mathbb{R}$ gegeben. a) Ermitteln Sie die Nullstellen der Funktion $f$ . b) Die Tangente an den Graphen von fim Punkt $S(0 \mid 1)$ begrenzt mit den beiden Koordinatenachsen ein Dreieck. Weisen Sie nach, dass dieses Dreieck gleichschenklig ist.

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Problem 13521

Question 4 $\$ 4000$ are invested in a bank account at an interest rate of 5 percent per year. Find the amount in the bank after 11 years if interest is compounded annually. $\square$ Find the amount in the bank after 11 years if interest is compounded quarterly. $\square$ Find the amount in the bank after 11 years if interest is compounded monthly. $\square$ Finally, find the amount in the bank after 11 years if interest is compounded continuously. $\square$

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Problem 13522

Solve the equation for the indicated variable. (Leave $\pm$ in the answer as needed.) $w=k s^{2} \text { for } s$

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Problem 13523

Participation Activity \#16 This is similar to Try It \#10 in the OpenStax text. What is the amplitude, $|A|$ , of the function $f(x)=5 \cos (x)$ ? $|A|=$ Number

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Problem 13524

$n-4 \geq 13$

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Problem 13525

$n-4 \geq 13$

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Problem 13526

A. Choose the correct answer: - A rotation maps $(4,9)$ onto $(4,9)$ .
What is the angle of rotation? a- $90^{\circ}$ b- $180^{\circ}$ c- $270^{\circ}$ d- $360^{\circ}$

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Problem 13527

Exercice 2: Calculer $\begin{array}{lc} A=\frac{3 \times 10^{-5} \times 7.2 \times 10^{7}}{2 \times 15^{3}} ; & B=\frac{(-2)^{3} \times\left(4^{2}\right)^{-1} \times 8}{1024 \times(-16)^{-4}} \\ C=(-1)^{2021} \times(-1)^{2022} ; & D=\left(\frac{-5}{2}\right)^{-3} \end{array}$

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Problem 13528

Solve the following system of equations graphically on the set of axes below. $\begin{array}{l} y=\frac{2}{3} x+4 \\ y=-2 x-4 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.
Answer Attempt 2 out of 2
Solution: $\square$ Sulmit Answer

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Problem 13529

PERGUNTAS/ORIENTAÇÖES Leia atentamente a prova e responda com clareza as seguintes questōes
1. Dados conjuntos $A=\left\{x \in R:-3 \leq x \leq \frac{1}{4}\right\}, B=\{x \in R:-1<x \leq 5\} e$ $C=\left\{x \in R:\left|5 x^{2}-6\right| x|-8|-\left|3 x^{2}-12\right| x|+12| \leq 0\right\}$ , determina os intervalos e as seguintes operaçōes: a) $A \cap B$ b) $\mathrm{B} \cap \mathrm{C}$ c) $C-A$ d) $A \cap C$
2. Ache o campo de existências das funçōes. a) $f(x)=\frac{1}{x^{2}-36}$ b) $y=\sqrt{5+x}-\sqrt{5-x}+3$ c) $y=\log _{(x-3)}\left(6 x-5-x^{2}\right)$
3. Dadas as sucessões numérica, determine o termo geral das sucessões e vigésimo termo. a) $\frac{4}{3}, \frac{7}{8}, \frac{10}{15}, \frac{13}{24}, \ldots$ b) $1,3,5,7 \ldots$
4. Calcule os seguintes limites. a) $\lim _{x \rightarrow \infty}\left(\frac{1+3+5+7+\cdots+(2 x-1)}{x+1}-\frac{2 x+1}{2}\right)$ b) $\lim _{x \rightarrow \infty} \frac{\sqrt{x}}{\sqrt{x+\sqrt{x+\sqrt{x}}}}$ c) $\lim _{x \rightarrow \infty} \frac{x^{2}-3 x-4}{\sqrt{x^{4}+x-2}}$
Pensamento: A velocidade de um veiculo não altera a distância, mas sim diminui o tempo viagem.
Cotação: 1-a) 1 valor; 1-b) 2 valores; 1-c) 2 valores; 1-d) 2 valores; 2 - 5 valores; 3 - 3,5 valores; 4-4,5 valores

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Problem 13530

If D has a frequency of 292 cps , find the frequencies of the following notes: a. an octave and six half-steps above D $292 \times 2=584$ b. two octaves and nine half-steps above $D$ $24+q=33 \quad 292 \times 1.05946^{33}$ c. an octave below D $1964.144707$

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Problem 13531

Find the quadratic function $f(x)=a x^{2}+b x+c$ for which $f(1)=1, f(-3)=9$ , and $f(3)=33$ .
What is the function? $f(x)=$ $\square$ (Simplify your answer.)

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Problem 13532

The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building. Combined, there are 203 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the number of bathrooms and fireplaces by 72 . The difference between the number of fireplaces and elevators is 25 . If the number of bathrooms is tripled, it exceeds the number of fireplaces and elevators by 77 . Determine the number of rooms, bathrooms, fireplaces, and elevators in the building.
The number of rooms is $\square$ , the number of bathrooms is $\square$ , the number of fireplaces is $\square$ , and the number of elevators is $\square$ in the building.

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Problem 13533

2a) Consider a room in a house that has composite walls with an $R_{t o t}=1.0 \mathrm{~m}^{2} \mathrm{~K} / \mathrm{W}$ . The total cross sectional area of the walls is $35 \mathrm{~m}^{2}$ . During winter, the temperature outside the room is $T_{\text {out }}=6^{\circ} \mathrm{C}$ . Inside the room, there is an electric heater that emits heat at a rate of 220 W that keeps the room warm. The room is occupied by 3 people that emit heat at a rate 80 W each. What is the temperature inside the room $T_{i n}$ (in ${ }^{\circ} \mathrm{C}$ ) in winter? Express your answer with 1 decimal place.
466

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Problem 13534

trianentar foees
If $=20 \mathrm{~cm}$ and $\mathrm{BC}=14 \mathrm{~cm}$ , calculate each of the following to TWO decimal places: 8.10 $8.2 \quad 11$ 8.3 The total surface area of the pyramid.

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Problem 13535

6.
If the scale of the diagram shown is $1: 800$ , calculate, to the nearest metre, the radius and the circumference of the Ferris wheel shown, given the radius measures 1.5 cm on the diagram. (Note: circumference $=2 \pi r$ )

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Problem 13536

(b) Find the values of $a$ and $b$ for $(2-i)(2 a+b i)=4+2 i$ [3 Marks]

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Problem 13537

a) $\frac{4}{6}-\frac{2}{8}=$ $\qquad$ b) $3 \frac{1}{4}-2 \frac{1}{5}=$ a) $\frac{4}{6}-\frac{2}{8}-\frac{16}{24}-\frac{6}{24}=\frac{10}{24}=\frac{5}{12}$ d) $\frac{7}{10}: \frac{1}{2}=$ b) $3 \frac{7}{4}-2 \frac{1}{5}=3 \frac{5}{20}-2 \frac{4}{20}=1 \frac{1}{20}$ c) $\frac{8}{7} \cdot \frac{7}{3}=\frac{56}{21}=2 \frac{14}{21}$ c) $\frac{7}{10}: \frac{1}{2} \frac{14}{10}: \frac{10}{2} \div \frac{24}{10}=1 \frac{4}{10}$ /10,5
Aufgabe 3: Ordnen Sie die folgenden Zahlen nach der Größe. Benutzen Sie die Relationszeichen $<,>$ . Beginnen Sie mit der kleinsten Zahl. $1 ; 0,4 ; \frac{1}{3} ;-4 ; 0 ;|0,9| ; \frac{3}{4} ;-0,8 ;-\frac{1}{2} ;|-3| ;-\frac{10}{5} ; 5$ /12
Aufgabe 4: Nennen Sie ein Beispiel für:

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Problem 13538

$(-14)-(+16)+(+18)=$

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Problem 13539

$-6+5+-8=$

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Problem 13540

В прямоугольном треугольнике острый угол равен $30^{\circ}$ . Расстояние между основанием высоты, проведенной к гипотенузе, и вершиной данного острого угла равно 18 см. Найдите расстояние между основанием высоты и вершиной другого острого угла данного треугольника.

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Problem 13541

c) $7+(3-8)=$

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Problem 13542

В прямоугольном треугольнике острый угол равен $30^{\circ}$ . Расстояние между основанием высоты, проведенной к гипотенузе, и вершиной данного острого угла равно 18 см. Найдите расстояние между основанием высоты и вершиной другого острого угла данного треугольника.

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Problem 13543

f) $6+(-5-4)=$

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Problem 13544

i) $8-(-3+9)=$

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Problem 13545

WORKED EXAMPLE 18.20 Using the function $d=3 \cos \left(\frac{\pi}{12} t\right)+8$ from Worked Example 18.19, find the times at which the depth of water in the harbour is 9 m .

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Problem 13546

Find the product and write the answer in 3 decimal places: (a) $0.235 \times 0.5$ (b) $0.7934 \times 0.32$ (c) $03.054 \times 3.2$
Find the quotient to 4 decimal places and write the answers in 2 and 3 decimal (a) $\frac{2}{3}$ (b) $\frac{5}{6}$ (c) $\frac{1}{6}$ (d) $\frac{22}{7}$ (e) $\frac{25}{12}$

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Problem 13547

A school office has an ink-jet printer and a laser printer. The ink-jet printer takes 10 seconds to start and then prints 20 pages per minute. The laser printer takes 5 seconds to start and then prints 30 pages per minute.
A teacher prints a document that takes 70 seconds to print on the ink-jet printer. How long would it take to print on the laser printer? $\square$ seconds

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Problem 13548

This triangle was made by cutting a square in half. The perimeter of the triangle is 34.14 cm . What is the area of the triangle? $\square$ square centimetres

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Problem 13549

$\text{Usando a definição de derivada, encontre a derivada das seguintes funções:}$ $(b) \quad f(x) = \sqrt[3]{x}$ $(c) \quad f(x) = 2x^{3} + 2$

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Problem 13550

Fill in the table on the first page with the correct answers to the following 15 questions ( 30 Pts)
1- The result of $\left(D_{x}+1\right)\left(x y e^{x+y}\right)=$ a) $e^{x+y}(3 x y)$ b) $e^{x+y}(y+2 x y)$ c) $e^{x+y}(y+x y)$ . d) $e^{x+y}(x+2 x y)$
2-The Euler PDE that has the general solution $u(x, y)=F(y+x)+x G(y+x)$ is a) $u_{x x}+2 u_{x y}+u_{y y}=0$ b) $u_{x x}+2 u_{x y}-u_{x y}=0$ c) $u_{x x}-2 u_{x y}-u_{y y}=0$ d) $u_{x x}-2 u_{x y}+u_{y y}=0$
3- The general solution of $s+\frac{1}{x} q=6 x y$ is $u(x, y)=$ a) $x^{2} y^{2}+\frac{G(y)}{x}+h(x)$ b) $x^{2} y^{2}+\frac{G(y)}{x}+h(y)$ c) $x^{2} y^{2}+\frac{G(x)}{x}+h(y)$ d) none
4- The separation of variables method is used to solve a) $1^{\text {st }}$ degree and $2^{\text {nd }}$ order b) $1^{\text {st }}$ order and $2^{\text {nd }}$ degree c) $1^{\text {st }}$ degree, $2^{\text {nd }}$ degree d) $1^{\text {st }}$ order and $2^{\text {nd }}$ order
5- The PDE that has the general solution $F(x+z, x+y)=0$ is a) $q=1-p$ b) $q=p$ c) $1+p^{2}=q$ d) $q=1+p$
6- By using the Charpit's method to solve $p q=a x y$ one of the five ratios is $\frac{d z}{R}$ , then the value of $R=$ a) $2 a x y$ b) $-x y$ . c) $x y$ d) $-2 a x y$
7- The value of $\left(D_{x}^{2}+D_{y}^{2}\right) e^{2 x-y}$ is a) $3 e^{2 x-y}$ b) $4 e^{2 x-y}$ c) $5 e^{2 x-y}$ d) $2 e^{2 x-y}$

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Problem 13551

3.1.2
In Problems 37-54, use the limit laws to evaluate each limit.
37. $\lim _{x \rightarrow-1}\left(x^{3}+7 x-1\right)$
39. $\lim _{x \rightarrow-5}\left(4+2 x^{2}\right)$
38. $\lim _{x \rightarrow 2}\left(3 x^{4}-2 x+1\right)$
41. $\lim _{x \rightarrow 3}\left(2 x^{2}-\frac{1}{x}\right)$
40. $\lim _{x \rightarrow 2}\left(8 x^{3}-2 x+4\right)$
43. $\lim _{x \rightarrow-3} \frac{x^{3}-20}{x+1}$
42. $\lim _{x \rightarrow-2}\left(\frac{x^{2}}{2}-\frac{2}{x^{2}}\right)$
45. $\lim _{x \rightarrow 3} \frac{3 x^{2}+1}{2 x-3}$
44. $\lim _{x \rightarrow 1} \frac{x^{3}-1}{x+2}$
47. $\lim _{x \rightarrow 1} \frac{1-x^{2}}{1-x}$
46. $\lim _{x \rightarrow-2} \frac{1+x}{1-x}$
49. $\lim _{x \rightarrow 3} \frac{x^{2}-2 x-3}{x-3}$
48. $\lim _{u \rightarrow 3} \frac{9-u^{2}}{3-u}$
51. $\lim _{x \rightarrow 2} \frac{2-x}{x^{2}-4}$
50. $\lim _{x \rightarrow 1} \frac{(x-1)^{2}}{x^{2}-1}$
53. $\lim _{x \rightarrow-2} \frac{2 x^{2}+3 x-2}{x+2}$
52. $\lim _{x \rightarrow-4} \frac{x+4}{16-x^{2}}$
54. $\lim _{x \rightarrow 1 / 2} \frac{1-x-2 x^{2}}{1-2 x}$

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Problem 13552

$2--3 \sqrt{x^{2}-3}=3 x-9$

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Problem 13553

$-3 \sqrt{x^{2}-3}=3 x-9$

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Problem 13554

53. $\lim _{x \rightarrow-2} \frac{2 x^{2}+3 x-2}{x+2}$

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Problem 13555

When proportional relationships are graphed, the points the line runs through can be used to find the constant of proportionality.
This line runs through points $(2,2),(4,4),(6,6)$ , and $(8,8)$ . First, find the proportion of this relationship by choosing one point and inserting its coordinates into the proportion equation. $k=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \text { or } k=\frac{4-2}{4-2}=\frac{2}{2}=1$
The constant of proportionality for this line is 1.
Find the constant of proportionality for each graph. I. $k=$ $\qquad$ 2. $k=$ $\qquad$ b $k=$ $\qquad$ $k=$ $\qquad$ Math

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Problem 13556

$\log _{2} 2.1$

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Problem 13557

Problem 3 The functions $f(x)$ and $g(x)$ are defined by these equations. - $f(x)=-15 x+80$ - $g(x)=10 x+25$
Which is greater: $f(2)$ or $g(2)$ ? f(2) $g(2)$

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Problem 13558

The function $p(s)$ gives the perimeter of an equilateral triangl便 of side length $s$ . It is represented by the equation $p(s)=3 s$ .
What is the value of $p(20)$ ? $\square$
What does your answer mean in this context? $\square$

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Problem 13559

(4) If $X$ and $Y$ are independent random variables such that $\operatorname{Var}(X)=\operatorname{Var}(Y)=5$ , then $\operatorname{Var}(X-2 Y+7)=$ . (5) Consider a normally distributed data with mean

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Problem 13560

Use the selected values of a linear function $g(x)$ in the table and the equation $h(x)$ shown below to evaluate $(g \circ h)(-3)$ . \begin{tabular}{|c|c|} \hline $x$ & $g(x)$ \\ \hline-3 & -5 \\ \hline-1 & -1 \\ \hline 0 & 1 \\ \hline 4 & 9 \\ \hline \end{tabular} $h(x)=x^{2}-2$

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Problem 13561

4) Obtenga la integral $\int \frac{\sqrt{4-x^{2}}}{x^{2}} d x$ (20 puntos) Es de carácter obligatorio presentar el triángulo rectángulo que va a utilizar para la solución de esta integral, y cada paso de su procedimiento.

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Problem 13562

6. Two horizontal forces, 225 N and 165 N , are exerted on a canoe. If these forces are applied in the same direction, find the net horizontal force on the canoe.
7. If the same two forces as in the previous problem are exerted on the canoe in opposite directions, what is the net horizontal force on the canoe? Be sure to indicate the direction of the net force.

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Problem 13563

3) Obtenga la integral de $\int \frac{3 x+4}{(x-2)\left(x^{2}+2 x+2\right)} d x$ (20 pun
Recuerde presentar cada uno de los pasos para resolver esta integral.

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Problem 13564

Solve the inequality. $\begin{array}{l} x-7 \leq 9 \\ x \leq[?] \end{array}$

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Problem 13565

Question 1-7
Use the selected values of a linear function $g(x)$ in the table and the equation $h(x)$ shown below to evaluate $(g \circ h)(-3)$ . \begin{tabular}{|c|c|} \hline $x$ & $g(x)$ \\ \hline-3 & -5 \\ \hline-1 & -1 \\ \hline 0 & 1 \\ \hline 4 & 9 \\ \hline \end{tabular} $h(x)=x^{2}-2$ $-22$

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Problem 13566

$\frac{5}{x+2}+\frac{3}{x-3}=2$

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Problem 13567

7. The APRN prescribed the client 250 mg Gentamycin PO TID. The safe dose range for Gentamycin is $3-5 \mathrm{mg} / \mathrm{kg} /$ dose. The client's last recorded weight was 100 pounds. Calculate the safe dose range and determine if the medication is safe to administer. Round to the nearest tenth.

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Problem 13568

taneous equations. $\begin{array}{r} u-w=9 \\ 3 u+w=19 \end{array}$
Answer $u=$ $\qquad$ $w=$ $\qquad$ [2]

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Problem 13569

11. The doctor prescribes Felbatol 800 mg PO daily. The pharmacy sends 400 mg tablets. How many tablet(s) will the nurse administer to the client per dose? Round the answer to the nearest whole or half tablet.

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Problem 13570

$\text{A boy is filling a bucket with water using a mug. The boy carries 900 \, \text{ml} of water each time. The bucket gets filled on the 81st mug. How much water is in the bucket?}$

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Problem 13571

9. The APRN has prescribed Colace 100 mg BID. How many $\mathrm{mg}(\mathrm{s})$ will the client receive daily? Round the answer to the nearest tenth.

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Problem 13572

8. The APRN has prescribed Zosyn 3.375 g TID. How many $\mathrm{g}(\mathrm{s})$ will the client receive daily? Round the answer to the nearest tenth.

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Problem 13573

11. What is the slope of the line tangent to the curve $y=\arctan (4 x)$ at the point at which $x=\frac{1}{4}$ ? (A) 2 (B) $\frac{1}{2}$ (C) 0 (D) $-\frac{1}{2}$ (E) -2 $\frac{1}{4} \cdot \frac{1}{4}$ $\frac{5}{4} \quad \frac{1}{16}$

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Problem 13574

. Lucas bought a car for \ $3,500. He lost$ 12 \%$ of its price when he sold it
35. for Brad, while Brad won 5\% of what he paid when he sold it to Amira. How much did Amira pay for the car? (grid-in)

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Problem 13575

2. Find all real solutions of the equation: $x^{2}-10 x+21=0$ . A. 1 and 21 B. -5 and -5 C. 3 and 7 $(x-7)(x-3)=0$

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Problem 13576

Find $\frac{d y}{d x}$ by implicit differentiation. $\left(1+e^{4 x}\right)^{2}=8+\ln (x+y), y \neq-x$
Select the correct choice below and fill in the answer box(es) to complete your choice. A. $\frac{d y}{d x}=$ $\square$ with $\square$ $\neq 0$ B. $\frac{d y}{d x}=$ $\square$ for all real values of $x$ and $y$

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Problem 13577

Using the Law of Sines to solve the all possible triangles if $\angle A=110^{\circ}, a=29, b=15$ . If no answer exists, enter DNE for all answers. $\angle B$ is $\square$ degrees $\angle C$ is $\square$ degrees $c=$ $\square$

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Problem 13578

$\longleftarrow$ Get a similar question You can retry this question below
Using the Law of Sines to solve the triangle if $\angle A=36^{\circ}, \angle C=71^{\circ}, b=11$ : Round answers to 3 decimal places. $\begin{array}{l} \angle B=73 \\ a=6.968 \\ 10.914 \\ c= \end{array}$

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Problem 13579

If $f(x)=2 \ln (x+5)$ , what is the value of $f^{\prime}(5)$ in simplest form?

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Problem 13580

$\qquad$ $x=$ $\qquad$ $y=$ $\qquad$

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Problem 13581

Graph the system! $\begin{array}{l} y=-\frac{5}{3} x+3 \\ y=\frac{1}{3} x-3 \end{array}$
What is the solution? Try again! Submit

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Problem 13582

Given the triangle find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees

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Problem 13583

A triangular field has sides of lengths $38,68,71 \mathrm{~m}$ . Enter your answer as a number; answer should be accurate to 2 decimal places.

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Problem 13584

11. Uma bomba impulsiona água de um reservatório $\mathbf{A}$ para outro $\mathbf{F}$ por meio de uma conduta com $\mathbf{K}_{\mathbf{S}}=85 \mathrm{~m}^{1 / 3} / \mathrm{s}$ e diâmetro constante de 110 mm . Considere que as perdas de carga localizadas são 20\% das perdas de carga contínuas. Observe a figura e os dados do problema: a) Determine a potência da bomba instalada; b) Calcule o valor da distância $\mathbf{E F}$ por forma a que a pressão em $\mathbf{E}$ não seja inferior a zero; c) Calcule a distância DE. $\begin{array}{l} \mathbf{L}_{\mathbf{A B}}=180 \mathrm{~m} \\ \mathbf{L}_{\mathbf{B C}}=120 \mathrm{~m} \\ \mathbf{L}_{\mathbf{C D}}=80 \mathrm{~m} \\ \mathbf{L}_{\mathbf{A F}}=580 \mathrm{~m} \\ \mathbf{Q}=30 \mathrm{~m}^{3} / \mathrm{h} \\ \eta=90 \% \end{array}$

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Problem 13585

$x=$ $\qquad$ $y=$ $\qquad$

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Problem 13586

Given the triangle
14 , find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees

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Problem 13587

A tank is a vertical cylinder with inside diameter of 6 ft and a height of 15 ft :
10. What is the volume of liquid in cubic feet if we fill the tank to one foot high? A. $28.27 \mathrm{ft}^{3}$ B. $18.8 \mathrm{ft}^{3}$ C. $113.1 \mathrm{ft}^{3}$ D. $424.1 \mathrm{ft}^{3}$
11. What is the total volume of the tank in cubic feet? A. $1686.5 \mathrm{ft}^{3}$ B. $442.5 \mathrm{ft}^{3}$ C. $424.1 \mathrm{ft}^{3}$ D. $847.5 \mathrm{ft}^{3}$

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Problem 13588

Given the triangle $10.875 \quad 17$ , find the measure of angle $A$ using the Law of Cosines. Picture is not drawn to scale $A=$ $\square$ degrees

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Problem 13589

Given the equation $-4 \sqrt{x-3}=-12$ , solve for x and identify if it is an extraneous solution. $x=0$ , solution is extraneous $x=0$ , solution is not extraneous $x=12$ , solution is extraneous $x=12$ , solution is not extraneous

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Problem 13590

Solve for $x$ , given the equation $\sqrt{x+9}-4=1$ . $x=16$ , solution is not extraneous $x=16$ , solution is extraneous $x=34$ , solution is not extraneous $x=34$ , solution is extraneous

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Problem 13591

Solve the following system of equations and fill in the values below: $\begin{array}{l} 40 x+5 y=-20 \\ 15 x-3 y=12 \\ 55 x+2 y=-8 \end{array}$
The solution is $\mathrm{x}=\underline{\text { Blank } 1}$ and $\mathrm{y}=$ Blank 2 .
Blank 1 Add your answer

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Problem 13592

Given the equation $\sqrt{2 x+1}=3$ , solve for x and identify if it is an extraneous solution. $x=4$ , solution is extraneous $x=4$ , solution is not extraneous $x=5$ , solution is extraneous $x=5$ , solution is not extraneous

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Problem 13593

$\text{A tank is a vertical cylinder with an inside diameter of 6 ft and a height of 15 ft. What is the weight in pounds of the tank, as in the above case, if the tank itself weighs 20 lbs per ft of height?}$ $\text{A. } 63,424 \text{ lbs}$ $\text{B. } 42,241 \text{ lbs}$ $\text{C. } 16,151 \text{ lbs}$ $\text{D. } 10,605 \text{ lbs}$

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Problem 13594

$12 r-18=13 r+18$

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Problem 13595

9:54 AM Mon Nov 25 Done AA myopenma
Optional Module 7 Practice Test Score: 163.5/270 Answered: 20/27
Question 18
Solve the system with the addition method: $\left\{\begin{array}{l} 4 x-3 y=3 \\ 6 x-4 y=2 \end{array}\right.$
Answer: $(x, y)=($ $\square$ Preview $x$ Preview $y$ Enter your answers as integers or as reduced fraction(s) in the form A/B. Question Help: Video Submit Question

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Problem 13596

A skydiver's speed during free fall reaches 175 kilometers per hour. What is the speed in meters per second?
Metric Units of Length \begin{tabular}{|l|l|l|} \hline \multicolumn{1}{|c|}{ Unit } & \multicolumn{1}{c|}{\begin{tabular}{c} Relationship \\ to a Meter \end{tabular}} & \multicolumn{1}{c|}{ Example } \\ \hline kilometer $(\mathrm{km})$ & $1 \mathrm{~km}=1,000$ meters & \begin{tabular}{l} 2.5 times around \\ an indoor track \end{tabular} \\ \hline meter $(\mathrm{m})$ & 1 meter & \begin{tabular}{l} height of a doorknob \\ from the floor \end{tabular} \\ \hline centimeter $(\mathrm{cm})$ & $1 \mathrm{~cm}=0.01$ meter & \begin{tabular}{l} thickness of a \\ CD case \end{tabular} \\ \hline millimeter $(\mathrm{mm})$ & $1 \mathrm{~mm}=0.001$ meter & thickness of a CD \\ \hline \end{tabular} First, to convert 175 km to meters w must multiply 175 km by $1 \mathrm{~km} / 1000 \mathrm{~m}$ . Next, to convert hours to seconds we will multiply by $1 \mathrm{hr} / 60 \mathrm{~min}$ and $1 \mathrm{~min} / 60 \mathrm{sec}$ . First, to convert 175 km to meters we must multiply 175 km by $1000 \mathrm{~m} / 1 \mathrm{~km}$ . Next, to convert hours to seconds we will multiply by 60 min and 60 sec .

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Problem 13597

Solve this system of equations $\begin{array}{l} \left\{\begin{array}{l} 4 x+4 y=-32 \\ 3 x-y= \\ 3 x \end{array}\right. \\ x=\square \\ y=\square \end{array}$
Question Help: Video
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Problem 13598

Practice Test Answered: 22/27 Question 26
Solve the system with the addition method: $\left\{\begin{array}{l} -5 x+y=23 \\ 3 x-6 y=24 \end{array}\right.$
Answer: $(x, y)=1$ $\square$ $\square$ Preview $x$ Preview $y$ Enter your answers as integers or as reduced fraction(s) in the form A/B. Question Help: ■ Video Submit Question

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Problem 13599

$\int_{1}^{4}\left(\frac{1}{x^{3}}-\frac{2}{x^{2}}\right)$

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Problem 13600

A cyclist rides his bike at a speed of 6 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? Show your work or explain your steps in detail to receive full points. Metric Units of Length \begin{tabular}{|l|l|l|} \hline \multicolumn{1}{|c|}{ Unit } & \multicolumn{1}{c|}{\begin{tabular}{c} Relationship \\ to a Meter \end{tabular}} & \multicolumn{1}{c|}{ Example } \\ \hline kilometer $(\mathrm{km})$ & $1 \mathrm{~km}=1,000$ meters & \begin{tabular}{l} 2.5 times around \\ an indoor track \end{tabular} \\ \hline meter $(\mathrm{m})$ & 1 meter & \begin{tabular}{l} height of a doorknob \\ from the floor \end{tabular} \\ \hline centimeter $(\mathrm{cm})$ & $1 \mathrm{~cm}=0.01$ meter & \begin{tabular}{l} thickness of a \\ CD case \end{tabular} \\ \hline millimeter $(\mathrm{mm})$ & $1 \mathrm{~mm}=0.001$ meter & thickness of a CD \\ \hline \end{tabular}

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Solve

Problem 13501

Find two numbers aaa and bbb whose sum a+ba+ba+b is 0 and whose difference a−ba-ba−b is 10 . Your answer is a=a=a= b=b=b=

Problem 13502

■ Solve the equation below, for a. a+b+c=da+b+c=da+b+c=d a=d/bca=d / b ca=d/bc a=d+b+ca=d+b+ca=d+b+c a=d−b−ca=d-b-ca=d−b−c a=dbca=d b ca=dbc

Problem 13503

Problem 13504

the inverse of A=(3−5−23)A=\left(\begin{array}{cc} 3 & -5 \\ -2 & 3 \end{array}\right)A=(3−2​−53​)

Problem 13505

Si una libra equivale a 1,25 euros, ¿a cuántos euros equivalen 875 libras? 987,75€987,75 €987,75€ 1.256,75€1.256,75 €1.256,75€ 1.093,75€1.093,75 €1.093,75€ 1.135,75€1.135,75 €1.135,75€

Problem 13506

Si el precio de venta de un producto son 65€65 €65€ y tenemos unos costes del 60%60 \%60%, ¿cuánto habremos ganado de margen de beneficio al vender 20 unidades? 460€460 €460€ 480€480 €480€ 500€500 €500€ 520€520 €520€

Problem 13507

Si el precio actual de un disco de música son 20€20 €20€, pero éste aumenta su valor cada dos años en un 20%20 \%20%, ¿cuánto costará dentro de 6 años? 35€35 €35€ 28€28 €28€ 38€38 €38€ 31€31 €31€

Problem 13508

antes facturaba 875€875 €875€ y ahora factura 1250€1250 €1250€ ?40\% 45%45 \%45% 43€43 €43€47\%

Problem 13509

Problem 13510

In a company the price per unit is \500.Ifthefixedcostsare500. If the fixed costs are 500.Ifthefixedcostsare\21000 2100021000, and the cos of producing 6 units is \$22200 Find cost, revenue, profit.

Problem 13511

For the function f(x)=10(x+8)7−10f(x)=10(x+8)^{7}-10f(x)=10(x+8)7−10, find f−1(x)f^{-1}(x)f−1(x).

Problem 13512

Find the zeros and multiplicity of the function f(x)=5x3−30x2+45x f(x) = 5x^3 - 30x^2 + 45x f(x)=5x3−30x2+45x.

Problem 13513

p=q=r=s=\begin{array}{l}\mathrm{p}= \\ \mathrm{q}= \\ \mathrm{r}= \\ \mathrm{s}=\end{array}p=q=r=s=​

Problem 13514

3) Find all solutions to the equations. List the solutions between [0,2π)[0,2 \pi)[0,2π).24. 2sin⁡2x−cos⁡x=12 \sin ^{2} x-\cos x=12sin2x−cosx=1

Problem 13515

Question 5 of 13, Step 1 of 1 4/13 CorrectEvaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. log⁡12(16)\log _{\frac{1}{2}}(16)log21​​(16)Answer TablesHow to enter your answer (opens in new window)

Problem 13516

□\square□ 3.Solve the inequality ∣3x∣≥12|3 x| \geq 12∣3x∣≥12. x≥36x \geq 36x≥36 or x≤−36x \leq-36x≤−36 x≥4x \geq 4x≥4 or x≤−12x \leq-12x≤−12 x≥4x \geq 4x≥4 or x≤−4x \leq-4x≤−4 x≥12x \geq 12x≥12 or x≤−4x \leq-4x≤−4

Problem 13517

Solve each triangle. Round your answers to the nearest tenth. 13) 14) 15) 16)16)16)17 (s) \qquad

Problem 13518

Problem 13519

Problem 13520

Problem 13521

Problem 13522

Solve the equation for the indicated variable. (Leave ±\pm± in the answer as needed.) w=ks2 for sw=k s^{2} \text { for } sw=ks2 for s

Problem 13523

Participation Activity \#16 This is similar to Try It \#10 in the OpenStax text. What is the amplitude, ∣A∣|A|∣A∣, of the function f(x)=5cos⁡(x)f(x)=5 \cos (x)f(x)=5cos(x) ? ∣A∣=|A|=∣A∣= Number

Problem 13524

n−4≥13n-4 \geq 13n−4≥13

Problem 13525

n−4≥13n-4 \geq 13n−4≥13

Problem 13526

A. Choose the correct answer: - A rotation maps (4,9)(4,9)(4,9) onto (4,9)(4,9)(4,9).What is the angle of rotation? a- 90∘90^{\circ}90∘ b- 180∘180^{\circ}180∘ c- 270∘270^{\circ}270∘ d- 360∘360^{\circ}360∘

Problem 13527

Problem 13528

Problem 13529

Problem 13530

Problem 13531

Find the quadratic function f(x)=ax2+bx+cf(x)=a x^{2}+b x+cf(x)=ax2+bx+c for which f(1)=1,f(−3)=9f(1)=1, f(-3)=9f(1)=1,f(−3)=9, and f(3)=33f(3)=33f(3)=33.What is the function? f(x)=f(x)=f(x)= □\square□ (Simplify your answer.)

Problem 13532

Problem 13533

Problem 13534

trianentar foeesIf =20 cm=20 \mathrm{~cm}=20 cm and BC=14 cm\mathrm{BC}=14 \mathrm{~cm}BC=14 cm, calculate each of the following to TWO decimal places: 8.10 8.2118.2 \quad 118.211 8.3 The total surface area of the pyramid.

Problem 13535

6.If the scale of the diagram shown is 1:8001: 8001:800, calculate, to the nearest metre, the radius and the circumference of the Ferris wheel shown, given the radius measures 1.5 cm on the diagram. (Note: circumference =2πr=2 \pi r=2πr )

Problem 13536

(b) Find the values of aaa and bbb for (2−i)(2a+bi)=4+2i(2-i)(2 a+b i)=4+2 i(2−i)(2a+bi)=4+2i [3 Marks]

Problem 13537

Problem 13538

(−14)−(+16)+(+18)=(-14)-(+16)+(+18)=(−14)−(+16)+(+18)=

Problem 13539

−6+5+−8=-6+5+-8=−6+5+−8=

Problem 13540

Problem 13541

c) 7+(3−8)=7+(3-8)=7+(3−8)=

Problem 13542

Problem 13543

f) 6+(−5−4)=6+(-5-4)=6+(−5−4)=

Problem 13544

i) 8−(−3+9)=8-(-3+9)=8−(−3+9)=

Problem 13545

WORKED EXAMPLE 18.20 Using the function d=3cos⁡(π12t)+8d=3 \cos \left(\frac{\pi}{12} t\right)+8d=3cos(12π​t)+8 from Worked Example 18.19, find the times at which the depth of water in the harbour is 9 m .

Problem 13546

Problem 13547

Problem 13548

This triangle was made by cutting a square in half. The perimeter of the triangle is 34.14 cm . What is the area of the triangle? □\square□ square centimetres

Find two numbers $a$ and $b$ whose sum $a+b$ is 0 and whose difference $a-b$ is 10 . Your answer is $a=$ $b=$

■ Solve the equation below, for a. $a+b+c=d$ $a=d / b c$ $a=d+b+c$ $a=d-b-c$ $a=d b c$

the inverse of $A=\left(\begin{array}{cc} 3 & -5 \\ -2 & 3 \end{array}\right)$

Si una libra equivale a 1,25 euros, ¿a cuántos euros equivalen 875 libras? $987,75 €$ $1.256,75 €$ $1.093,75 €$ $1.135,75 €$

Si el precio de venta de un producto son $65 €$ y tenemos unos costes del $60 \%$ , ¿cuánto habremos ganado de margen de beneficio al vender 20 unidades? $460 €$ $480 €$ $500 €$ $520 €$

Si el precio actual de un disco de música son $20 €$ , pero éste aumenta su valor cada dos años en un $20 \%$ , ¿cuánto costará dentro de 6 años? $35 €$ $28 €$ $38 €$ $31 €$

antes facturaba $875 €$ y ahora factura $1250 €$ ?
40\% $45 \%$ $43 €$
47\%

In a company the price per unit is \ $500. If the fixed costs are$ \ $21000$ , and the cos of producing 6 units is \$22200 Find cost, revenue, profit.

For the function $f(x)=10(x+8)^{7}-10$ , find $f^{-1}(x)$ .

Find the zeros and multiplicity of the function $f(x) = 5x^3 - 30x^2 + 45x$ .

$\begin{array}{l}\mathrm{p}= \\ \mathrm{q}= \\ \mathrm{r}= \\ \mathrm{s}=\end{array}$

3) Find all solutions to the equations. List the solutions between $[0,2 \pi)$ .
24. $2 \sin ^{2} x-\cos x=1$

Question 5 of 13, Step 1 of 1 4/13 Correct
Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. $\log _{\frac{1}{2}}(16)$
Answer Tables
How to enter your answer (opens in new window)

$\square$ 3.Solve the inequality $|3 x| \geq 12$ . $x \geq 36$ or $x \leq-36$ $x \geq 4$ or $x \leq-12$ $x \geq 4$ or $x \leq-4$ $x \geq 12$ or $x \leq-4$

Solve each triangle. Round your answers to the nearest tenth. 13) 14) 15) $16)$
17 (s) $\qquad$

Solve the equation for the indicated variable. (Leave $\pm$ in the answer as needed.) $w=k s^{2} \text { for } s$

Participation Activity \#16 This is similar to Try It \#10 in the OpenStax text. What is the amplitude, $|A|$ , of the function $f(x)=5 \cos (x)$ ? $|A|=$ Number

$n-4 \geq 13$

$n-4 \geq 13$

A. Choose the correct answer: - A rotation maps $(4,9)$ onto $(4,9)$ .
What is the angle of rotation? a- $90^{\circ}$ b- $180^{\circ}$ c- $270^{\circ}$ d- $360^{\circ}$

Find the quadratic function $f(x)=a x^{2}+b x+c$ for which $f(1)=1, f(-3)=9$ , and $f(3)=33$ .
What is the function? $f(x)=$ $\square$ (Simplify your answer.)

trianentar foees
If $=20 \mathrm{~cm}$ and $\mathrm{BC}=14 \mathrm{~cm}$ , calculate each of the following to TWO decimal places: 8.10 $8.2 \quad 11$ 8.3 The total surface area of the pyramid.

6.
If the scale of the diagram shown is $1: 800$ , calculate, to the nearest metre, the radius and the circumference of the Ferris wheel shown, given the radius measures 1.5 cm on the diagram. (Note: circumference $=2 \pi r$ )

(b) Find the values of $a$ and $b$ for $(2-i)(2 a+b i)=4+2 i$ [3 Marks]

$(-14)-(+16)+(+18)=$

$-6+5+-8=$

c) $7+(3-8)=$

f) $6+(-5-4)=$

i) $8-(-3+9)=$

WORKED EXAMPLE 18.20 Using the function $d=3 \cos \left(\frac{\pi}{12} t\right)+8$ from Worked Example 18.19, find the times at which the depth of water in the harbour is 9 m .

This triangle was made by cutting a square in half. The perimeter of the triangle is 34.14 cm . What is the area of the triangle? $\square$ square centimetres

$2--3 \sqrt{x^{2}-3}=3 x-9$

$-3 \sqrt{x^{2}-3}=3 x-9$

53. $\lim _{x \rightarrow-2} \frac{2 x^{2}+3 x-2}{x+2}$

$\log _{2} 2.1$

Problem 3 The functions $f(x)$ and $g(x)$ are defined by these equations. - $f(x)=-15 x+80$ - $g(x)=10 x+25$
Which is greater: $f(2)$ or $g(2)$ ? f(2) $g(2)$

The function $p(s)$ gives the perimeter of an equilateral triangl便 of side length $s$ . It is represented by the equation $p(s)=3 s$ .
What is the value of $p(20)$ ? $\square$
What does your answer mean in this context? $\square$

(4) If $X$ and $Y$ are independent random variables such that $\operatorname{Var}(X)=\operatorname{Var}(Y)=5$ , then $\operatorname{Var}(X-2 Y+7)=$ . (5) Consider a normally distributed data with mean

4) Obtenga la integral $\int \frac{\sqrt{4-x^{2}}}{x^{2}} d x$ (20 puntos) Es de carácter obligatorio presentar el triángulo rectángulo que va a utilizar para la solución de esta integral, y cada paso de su procedimiento.

3) Obtenga la integral de $\int \frac{3 x+4}{(x-2)\left(x^{2}+2 x+2\right)} d x$ (20 pun
Recuerde presentar cada uno de los pasos para resolver esta integral.

Solve the inequality. $\begin{array}{l} x-7 \leq 9 \\ x \leq[?] \end{array}$

$\frac{5}{x+2}+\frac{3}{x-3}=2$

taneous equations. $\begin{array}{r} u-w=9 \\ 3 u+w=19 \end{array}$
Answer $u=$ $\qquad$ $w=$ $\qquad$ [2]

9. The APRN has prescribed Colace 100 mg BID. How many $\mathrm{mg}(\mathrm{s})$ will the client receive daily? Round the answer to the nearest tenth.

8. The APRN has prescribed Zosyn 3.375 g TID. How many $\mathrm{g}(\mathrm{s})$ will the client receive daily? Round the answer to the nearest tenth.

. Lucas bought a car for \ $3,500. He lost$ 12 \%$ of its price when he sold it
35. for Brad, while Brad won 5\% of what he paid when he sold it to Amira. How much did Amira pay for the car? (grid-in)