Browse Equation problems Studdy Solved!

Problem 2501

Part A Diego deposited $\$ 10,000$ for 4 years at a rate of $6 \%$ simple interest. Find the amount of interest Dlego earned after four years. Interest = \\square$
Part B If Diego closes his account after the four years, how much money will he have total? Total Amount $=\$$ $\square$

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Problem 2502

(5 Points) If a proton $\left(m_{p}=1.67 \times 10^{-27} \mathrm{~kg}\right)$ has a de Broglie wavelength of 14.5 nm , calculate the velocity of the proton.

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Problem 2503

If $2+e^{3 x}=4$ , then solve for $x$ . Note: Round your answer to 2 decimal points and do not include any special characters. For example, if your answer is .1234, enter it as . 12. $\square$

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Problem 2504

2 (Lesson 30) Directions - Identify the key components, create a compound interest equation, and answer the questions. You Invest $\$ 4000$ into an account that compounds interest on a quarterly basis at $3 \%$ . How much money will you have after 5 years? Compound interest formula: $A=P\left(1+\frac{r}{n}\right.$ ) a) $P=$ $\square$ e) Write the compound interest equation that would be used to solve this problem. $\square$ f) Value after 5 years = b) $r=$ $\square$ (round to two decimal places) $\square$ c) $n=$ $\square$ d) $\mathrm{t}=$ $\square$

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Problem 2505

$27,28,29,30,31,32,33,34,35$ , and 36 Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
33. $x^{2}+y^{2}=\left(2 x^{2}+2 y^{2}-x\right)^{2},\left(0, \frac{1}{2}\right)$ (cardioid)

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Problem 2506

Level 2 Taylorl has the following summary statement over the period of 30 days for her credit. If her APR is $22.8 \%$ , her average daily balance is $\$ 1,840.25$ . What is her new balance? \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & \begin{tabular}{l} Previous \\ Balance \end{tabular} & \begin{tabular}{l} Payments \\ Credits \end{tabular} & \begin{tabular}{l} New \\ Purchoses \end{tabular} & \begin{tabular}{l} Lote \\ Charge \end{tabular} & \begin{tabular}{l} Finance \\ Charge \end{tabular} & \begin{tabular}{l} New \\ Bolance \end{tabular} & \begin{tabular}{l} Minimum \\ Poyment \end{tabular} \\ \hline 1932.10 & 320.00 & 524.70 & 00 & & & \\ \hline \end{tabular}

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Problem 2507

$\underline{27}, \underline{28}, \underline{29}, \underline{30}, \underline{31}, \underline{32}, \underline{33}, \underline{34}, \underline{35}$ , and $\underline{36}$ Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 3.
31. $x^{2}-x y-y^{2}=1,(2,1)$ (hyperbola) Answer 4

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Problem 2508

In Exercises 3 and 4 , solve for $y$ in terms of $x$ .
3. $\frac{y^{2}}{9}+\frac{x^{2}}{4}=1$
4. $\frac{x^{2}}{36}+\frac{y^{2}}{25}=1$

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Problem 2509

3 (Lesson 30 ) Charls Invested $\$ 140$ . She earned a simple Interest of $3 \%$ per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charls recelved at the end of two years? (A) $\$ 4.20$ (B) $\$ 6.00$ (C) $\$ 8.40$ (D) $\$ 12.60$

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Problem 2510

a. Rewrite the equation $4 x+y+3=0$ in slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function. a. The slope-intercept form of the equation is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.) b. The slope of the equation of the line is $\square$ and the $y$ -intercept is $\square$ . (Type integers or fractions.)

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Problem 2511

mULTIPLE CHOIGE
1. An object moves in a circle at a constant speed. Which of the following is not true of the object? A. Its centripetal acceleration points toward the center of the circle. B. Its tangential speed is constant. C. Its velocity is constant. D. A centripetal force acts on the object.
Use the passage below to answer questions 2-3. A car traveling at $15 \mathrm{~m} / \mathrm{s}$ on a flat surface turns in a circle with a radius of 25 m .
2. What is the centripetal acceleration of the car? F. $2.4 \times 10^{-2} \mathrm{~m} / \mathrm{s}^{2}$ G. $0.60 \mathrm{~m} / \mathrm{s}^{2}$ H. $9.0 \mathrm{~m} / \mathrm{s}^{2}$ J. zero
3. What is the most direct cause of the car's centripetal acceleration? A. the torque on the steering wheel B. the torque on the tires of the car C. the force of friction between the tires and the road D. the normal force between the tires and the road
4. Earth ( $m=5.97 \times 10^{24} \mathrm{~kg}$ ) orbits the sun ( $m=1.99 \times$ $10^{30} \mathrm{~kg}$ ) at a mean distance of $1.50 \times 10^{11} \mathrm{~m}$ . What is the gravitational force of the sun on Earth? ( $G=$ $6.673 \times 10^{-11} \mathrm{~N}^{-\mathrm{m}^{2}} / \mathrm{kg}^{2}$ ) F. $5.29 \times 10^{32} \mathrm{~N}$ G. $3.52 \times 10^{22} \mathrm{~N}$ H. $5.90 \times 10^{-2} \mathrm{~N}$ J. $1.77 \times 10^{-8} \mathrm{~N}$
5. Which of the following is a correct interpretation of the expression $a_{s}=g=G \frac{m_{E_{2}}}{r^{2}}$ ? A. Gravitational field strength changes with an object's distance from Earth. B. Free-fall acceleration changes with an object's distance from Earth. C. Free-fall acceleration is independent of the falling object's mass. D. All of the above are correct interpretations.
6. What data do you need to calculate the orbital speed of a satellite? F. mass of satellite, mass of planet, radius of orbit G. mass of satellite, radius of planet, area of orbit H. mass of satellite and radius of orbit only J. mass of planet and radius of orbit only
7. Which of the following choices correctly describes the orbital relationship between Earth and the sun? A. The sun orbits Earth in a perfect circle. B. Earth orbits the sun in a perfect circle. C. The sun orbits Earth in an ellipse, with Earth at one focus. D. Earth orbits the sun in an ellipse, with the sun at one focus.
Use the diagram below to answer questions 8-9.
8. The three forces acting on the wheel above have equal magnitudes. Which force will produce the greatest torque on the wheel? F. $\mathrm{F}_{1}$ G. $\mathrm{F}_{2}$ H. $\mathrm{F}_{3}$ J. Each force will produce the same torque. $8 \quad$ Chapter 7

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Problem 2512

Find $R$ and $\theta$ given the components $R_{x}=17.57$ and $R_{y}=6.94$ . $\mathrm{R}=\square$ (Round to the nearest hundredth as needed.)

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Problem 2513

4 Mr. Banks deposited $\$ 5000$ Into an account that earns $3.5 \%$ Interest (compounded annually) and he will let it accrue money for 7 years. About how much more money would he get if he deposited the same sum of money in an account that compounds Interest continu Compound Interes $A=P\left(1+\frac{r}{n}\right)^{n t}$ Continumus Compound Formula $A=P e^{i t}$ (A) $\$ 25.12$ (B) $\$ 29.23$ (C) $\$ 26.71$ (D) It would be the same amount.

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Problem 2514

What is the rate of change of a line going through the points $(-2,-3)$ and $(2,9)$ . *Only type the value in the space provided $\square$

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Problem 2515

Algéra 1 STAAR-Regression table math answers studenl.desmos.com/activilybuilder/instance/673667d22a5d28b1c537a639/student/67379c28163936e67015 Why did Islam Spre_ Copy of Patterns of Unblocked Games -... Unblocked Games - Vandalizing My Ow.. - Regression ARTINEZ \#5a
The table below shows the height of a ball $y$ (in feet) at different times $x$ (in seconds) after it was thrown into the air. Use the data in the table to answer the questions. \begin{tabular}{|c|c|} \hline Time & Height \\ \hline 0 & 4 \\ \hline 1 & 18 \\ \hline 2 & 24 \\ \hline 3 & 22 \\ \hline \end{tabular}
What model best fits this data
$y=-4 x^{2}+18 x+4$ $y=-3 x^{2}+12 x+4$ $y=-3 x^{2}+18 x+4$ $y=-4 x^{2}+12 x+4$

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Problem 2516

A highily anticipated sci-fi movie operied up in theaters with a special midnight showing thils past friday. For the Saturday edition of his town/s newspaper, Alorce wrote a colurnin about local interest in the movie. He found that the attendance for the midright showing among all the theaters in the state had a mean of 230 people with a standard deviation of 14 people. The attendance for the rridright showing at his torn's thesater was 250 people. (a) Find the $z$ -score of the attendance at the theater in Alonze's toun relative to the attendances among all the theaters in the state. Round your aniswer to two decimal places. $z=$ $\square$ (b) Fill in the blanks to interpret the $z$ -score of the attendarice at the theater in Alonzo's town. Make sure to express your ancwer in terms of a positive number of standard deviations.
The attendance at the theater in Alonzo's town was $\square$ standard deviations (Choose one) $\square$ the mean attendance among all the theaters in the state.

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Problem 2517

porerdiby Knowledge Mathes
Finding a Job Math Quiz
QUESTION 3 of 10: Job A pays $\$ 13.00$ per hour. Job B pays $\$ 11.00$ per hour but has health benefits. Health insurance costs $\$ 3,400$ per y You expect to work 2,000 hours during the year. Ignoring taxes, which job will leave you with more money at the end of the year? a) $J o b A$ b) $J o b B$ c) Not enough information Submit

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Problem 2518

$y=\frac{x-5}{x^{2}-25}$

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Problem 2519

Jose spent $\$ 9.30$ on 15 pencils. How much did each pencil cost? Enter your answer in the box. \\square$

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Problem 2520

Select strategies for adding within 1000
Ashkii and Nuka are trying to add $487+396$ . Ashkii adds $500+400$ , then subtracts 13 . Nuka adds $487+400$ , then subtracts 4 . Whose result is equal to $487+396 ?$ Choses 1 mower: (C) Only Ashkirs result (D) Only Nuka's result C) Both Ashkil's and Newas results
Reldetricontent Brekinespart 3-dieit acdition problems

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Problem 2521

7. $x=$ $\qquad$ $y=$

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Problem 2522

8. $\begin{array}{l} x= \\ y= \end{array}$ $\qquad$

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Problem 2523

1. Find the general solution of the following differential equation by the method of undetermined coefficients: $y^{\prime \prime}+2 y^{\prime}-24 y=16-(x+2) e^{4 x}$

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Problem 2524

In Exercises 3-4, write an equation in standard form of the line that passes through the given points. 3. 4.

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Problem 2525

Oenvar200020 A. 6.61 g sample of an unknowin sall $(M M=116.82 \mathrm{~g} / \mathrm{mol} / \mathrm{is}$ salt and waterts $23.72^{\circ}$ . Atter the sati has . the salt and wale the enperature of the solution 1 s 28.54

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Problem 2526

4. What is the standard form of the equation below? $y=3(x-2)^{2}-5$
Standard Form: $f(x)=a x^{2}+b x+c$

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Problem 2527

5. What is the equation of the graph below? Clea

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Problem 2528

A company lends $\$ 1,700,000$ for 1 year at $12 \%$ , compounded monthly to another company that manufactures tug boats. Find (a) the future value and (b) the interest. Click the icon to view the compound interest table. (a) Future value $=\$ 1904000$ (Simplify your answer.) (b) Interest $=\$ 12$ (Simplify your answer.)

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Problem 2529

Solve for $x: 2|2 x-4|-5=-3$ No solution. $x=\frac{5}{2}$ or $x=\frac{3}{2}$ $x=\frac{15}{4}$ or $x=\frac{21}{4}$ $x=\frac{5}{2}$ or $x=4$

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Problem 2530

4. A random sample of people was asked to report the age and distance driven of their first car. A line was fit to the data to model the relationship.
Write an equation of the line of best fit in $\mathbf{y}=\mathbf{m x + b}$ : Steps:
1. Identify $y$ -intercept (where the line crosses the y -axis) y -intercept, $\mathrm{b}=(\mathrm{O}$ , $\qquad$ )
2. Identify another point on the line (it has to be on the line)
2nd point ( $\qquad$ , $\qquad$ )
3. Find slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ between these two points $\mathrm{m}=$ $\qquad$ $=$
4. Substitute $m$ and $b$ values into $y=m x+b$ $y=$ $\qquad$

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Problem 2531

For which of the following equations is the value of $x$ equal to 10 ? Select all that apply. A) $x+10=20$ B) $10 x=10$ C) $20 \div x=2$ D) $4 x=10$ E) $20-x=10$

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Problem 2532

Is $50,-50,20$ , or -20 the solution of the equation $15=c-35$ ?

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Problem 2533

6. Given the vertex $(2,-5)$ and $y$ -intercept $(0,-4)$ , what is the vertex form of this quadratic equation?
Identify the given $h, k, x$ , and $y$ -value to substitute into the Vertex Form: $y=a(x-h)^{2}+k$ Then solve for " $a$ " value that is needed to complete the vertex form. $\begin{array}{l} h=2 \quad k=-5 \quad y=-4 x=0 \\ y=a(x-h)^{2}+k \\ -4=a(0-2)^{2}-5 \\ -4=a c \end{array}$

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Problem 2534

Fill in the missing numbers to complete the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 0 \\ \hline 2 & 1 \\ \hline 3 & 2 \\ \hline 4 & 3 \\ \hline \end{tabular} $y=$ $\square$ $\square$
Save answer

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Problem 2535

For the year ending December 31, 2022, Cobb Company accumulates the following data for the Plastics Division, which it operates as an investment center: contribution margin $-\$ 700,000$ budget, $\$ 710,000$ actual; controllable fixed costs $-\$ 300,000$ budget, $\$ 302,000$ actual. Average operating assets for the year were $\$ 2,000,000$ .
Prepare a responsibility report for the Plastics Division beginning with contribution margin for the year ending December 31, 2022. (Round ROI to 1 decimal place, e.g. 1.5\%.)
COBB COMPANY Plastics Division Responsibility Report

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Problem 2536

2. Solve the following equation for Real Number (s) $x$ $\frac{1}{3 x+5}-\frac{2}{5 x-3}=0$

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Problem 2537

Calculate the size of angle $x$ .

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Problem 2538

Mail works as an IT technician for a local company. There are 1000 computers on the company's network and 958 of them are not infected with a wirus Mai chooses a computer on the company's notwork at random. Tef the event $A$ and the event $B$ he act followe. A: The computer Mal chooses is not infected with the virus. B: The computer Mai chooses is infected with the virus. Find the following probabilities. Write vour answers as deelmal numbers and do not round. $P(A)=$ $\square$ $P(B)=$ $\square$

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Problem 2539

Prove the triangles below are congruent.
Given: $\angle B \cong \angle D, A C \cong C E$ Prove: $\triangle \mathrm{ACB} \cong \triangle \mathrm{ECD}$ 1) $\angle B \cong \angle D, A C \cong C E$ Given 2) $\angle A C B \cong \angle E C D$ [Choose] 3) $\triangle \mathrm{ACB} \cong \triangle E C D$ [Choose ]

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Problem 2540

$\text{Top management is unhappy with the investment center's return on investment (ROI). It asks the manager of the South Division to submit plans to improve ROI in the next year. The manager believes it is feasible to consider the following independent courses of action.}$ \begin{enumerate} \item \text{Increase sales by } \300,000 \text{ with no change in the contribution margin percentage.} \item \text{Reduce variable costs by } \$150,000. \item \text{Reduce average operating assets by } 6.25\%. \end{enumerate} \begin{itemize} \item[(a)] \text{Compute the return on investment (ROI) for the current year. (Round ROI to 2 decimal places, e.g. 1.57\%.)} \text{Return on Investment } \square \% \] \item[(b)] \text{Using the ROI equation, compute the ROI under each of the proposed courses of action. (Round ROI to 2 decimal places, e.g. 1.57\%.)} \square \] \text{Action 1 } \square \% \text{Action 2 } \square \% \] \text{Action 3 } \square \% \] \end{itemize} \text{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.}\text{Dialogue Transcript:}\text{Hello! To help you calculate the return on investment (ROI) for the current year and under each proposed course of action, I'll need some additional information. Specifically, I need:} \begin{enumerate} \item \text{The current sales amount and contribution margin percentage.} \item \text{The current variable costs.} \item \text{The current average operating assets.} \end{enumerate} \text{Once I have this data, I can guide you through the calculations. Please provide this information so we can proceed!}9.6\text{Thank you for providing a figure, but it seems like we're missing some additional details to properly calculate the return on investment (ROI). Could you please clarify what the "9.6" refers to? Additionally, I still need:} \begin{enumerate} \item \text{The current sales amount.} \item \text{The current contribution margin percentage.} \item \text{The current variable costs.} \item \text{The current average operating assets.} \end{enumerate} \text{Once you provide these details, I can help with the calculations!}\text{Sales 3,000,000, Variable Costs 1,950,000, Controllable fixed costs 600,000, average operating assets 5,00,000}$

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Problem 2541

1. What is the equation, center, and radius of the circle? $\begin{array}{l} x^{2}+2 x+y^{2}+6 y-7=0 \\ x^{2}+2 x+y^{2}+6 y=7 \\ x^{2}+2 x+17 y^{2}+6 y=7+1 \\ (x+1)^{2}+y^{2}+6 y=8 \\ (x+1)^{2}+y^{2}+6 y+9<8+9 \\ (x+1)^{2}+(y+3)^{2}=17 \end{array}$

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Problem 2542

Fer was - 42, Solle the equnsien by -Cempleting the Square". (39) $x^{2}+8 x+3=0$ $\begin{array}{r} x^{2}+8 x+16=-5+16 \\ (x+4)^{2}=11 \end{array}$
Solutions: $\qquad$ 41) $7 x^{2}-18 x=14+10 x$ $8-\frac{1}{2}=9$ $(4)^{2}=16$ 90) $\frac{4 x^{2}}{4}-\frac{56 x}{4}-\frac{20}{4}=\frac{0}{4}$ $\begin{array}{cc} x^{2}-14 x-5=0 & -14-\frac{1}{2}=7 \\ x^{2}-14 x=5 & (-7)^{2}=49 \\ x-7=1 \sqrt{54} & x^{2}-14 x+49=5 x 49 \\ (x-7)^{2}=54 \end{array}$
Solutions: $\qquad$ 42) $\mathrm{x}^{2}-12 \mathrm{x}=-44$
Solutions: $\qquad$ Solutions: $\qquad$

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Problem 2543

$\begin{array}{l}\text { of Find of } k \text { volue } \\ 0=2 x-x+9-k\end{array}$

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Problem 2544

Convert the following expressions between exponential and logarithmic form. a. $2401=7^{4}$ [1 mark] b. $\quad a=\log _{\mathrm{b}} c$ [1 mark]

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Problem 2545

x Andy used the number line model shown to help him write an equation. -6 -5 -4 -3 -2 -1 0 1 3 4 5 6 7 Which of the following could be Andy's equation? A -5-(-5)=10 00 B -5+ (-5)=-10 C -5+5=0 * D 5-0=-5 Progress Learning 2024, All Rights Reserved. Terms | Privacy PHONE 1-877-377-9537 | FAX 1-877-816-0808 Blog

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Problem 2546

Practice Name
Write the slope-intercept form of the equation of each lin 1) 2) $y=-3$ 3) 5)

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Problem 2547

Practice Write the slope-intercept form of the equation of each (1) 2) 3) 5)

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Problem 2548

Solve for $x$ . $\begin{array}{l} 4^{x}=21 \\ x=2.192 \end{array}$ (Type an intejer or a decimal. Round to four decimal places as needed. Use a comma to separate answers as needed.

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Problem 2549

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of $3 \mathrm{ft} / \mathrm{s}$ , at what rate is the length of his shadow changing?

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Problem 2550

$\begin{array}{l}=\sin (\cos 6 x)+\sin 6 x \cos x \\ =\sin (x+6 x)=\sin 7 x\end{array}$

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Problem 2551

$\frac{1}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}=$

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Problem 2552

12. A. 50 B. 60 C. 70 D. 80 13. A. 60 B. 80 C. 40 D. 50

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Problem 2553

2. (Preferred stock expected return) You are planning to purchase 100 shares of preferred stock and must choose between Stock A and Stock B. Stock A pays an annual dividend of $\$ 4.50$ and is currently selling for $\$ 35$ . Stock B pays an annual dividend of $\$ 4.25$ and is selling for \ $36. If your required return is 12 percent, which stock should you choose?<br />3. (Preferred stockholder expected return) Solitron preferred stock is selling for$ \ $42.16$ per share and pays $\$ 1.95$ in dividends. What is your expected rate of return if you purchase the security at the market price?
4. (Preferred stockholder expected return) You own 200 shares of Somner Resources preferred stock, which currently sells for \ $40 per share and pays annual dividends of$ \ $3.40$ per share. a. What is your expected return? b. If you require an 8 percent return, given the current price, should you sell or buy more stock? 45

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Problem 2554

The enthalpy change for the following reaction is 95.4 kJ . Using bond energies, estimate the $\mathrm{N}-\mathrm{H}$ bond energy in $\mathrm{N}_{2} \mathrm{H}_{4}(\mathrm{~g})$ . $\mathrm{N}_{2}(\mathrm{~g})+2 \mathrm{H}_{2}(\mathrm{~g}) \longrightarrow \mathrm{N}_{2} \mathrm{H}_{4}(\mathrm{~g})$

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Problem 2555

6.
Find the measure of $\angle J$ . A. 10 B. 11 C. 67 D. 65

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Problem 2556

Calculate the energy required to heat 332.0 g of silver from $-8.4^{\circ} \mathrm{C}$ to $14.4^{\circ} \mathrm{C}$ . Assume the specific heat capacity of silver under these conditions is $0.235 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Round your answer to 3 significant digits. $\square$

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Problem 2557

16. Use the quadratic formula to find the roots (answers). $3 x^{2}-5 x+3=0$

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Problem 2558

4. State the Quadratic formula and use it to solve the equation: $3 x^{2}+8 x+6=0$

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Problem 2559

Calculate the energy required to heat 295.0 mg of ammonia from $24.1^{\circ} \mathrm{C}$ to $44.0^{\circ} \mathrm{C}$ . Assume the specific heat capacity of ammonia under these conditions is $4.70 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Round your answer to 3 significant digits. $\square$

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Problem 2560

Calculate the energy required to heat 122.0 mg of ethanol from $-3.1^{\circ} \mathrm{C}$ to $17.3{ }^{\circ} \mathrm{C}$ . Assume the specific heat capacity of ethanol under these conditions is $2.44 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Round your answer to 3 significant digits.

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Problem 2561

Calculate the energy required to heat 722.0 g of water from $37.1^{\circ} \mathrm{C}$ to $58.3^{\circ} \mathrm{C}$ . Assume the specific heat capacity of water under these conditions is $4.18 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Round your answer to 3 significant digits. $\square$

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Problem 2562

Resol
Find the area of $S$ , which is the portion of the plane $2 x+3 y+4 z=28$ lying above the rectangle $2<x<4,4<y<9$ in the xy-plane. (Use symbolic notation and fractions where needed.) $\operatorname{arca}(S)=$ $\square$

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Problem 2563

seventh grade P. 8 Find the percent: tax, discount, and more PBM You have prizes to reveall co to your game
A store manager instructs some new trainees that a surfboard priced at $\$ 82$ winds up costing Video Question answere a customer $\$ 89.79$ once the sales tax is included. What is the sales tax percentage?
Write your answer as a decimal using a percent sign (\%). For example, $0.5 \%$ or $12.7 \%$ . $\square$
Submit

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Problem 2564

Calculate the energy required to heat 722.0 g of water from $37.1^{\circ} \mathrm{C}$ to $58.3^{\circ} \mathrm{C}$ . Assume the specific heat capacity of water under these conditions is $4.18 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Round your answer to 3 significant digits. 63.9 J

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Problem 2565

Calculate the integral of $z e^{2 x+y}$ over the surface of the box with $0 \leq x \leq 4,0 \leq y \leq 9,0 \leq z \leq 8$ . (Express numbers in exact form. Use symbolic notation and fractions where needed.) $\iint_{S} z e^{2 x+y} d S=52 e^{17}-20 e^{9}-20 e^{8}-44$
Incorrect Answer

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Problem 2566

Kirani James...mes on Vimeo Apple Disney Yahool Schedule Ag....appointment Homepage - MTH1W1-8-Mathematics-Zare, Bahareh
Gavin is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let $C$ represent the total cost of the gym membership over $t$ months. A graph of $C$ is shown below. Write an equation for $C$ then state the slope of the graph and determine its interpretation in the context of the problem.

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Problem 2567

Question Watch Video Show Examples
At the end of a snow storm, Carter saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. Let $S$ represent the depth of snow on Carter's lawn, in inches, $t$ hours after the snow stopped falling. A graph of $S$ is shown below. Write an equation for $S$ then state the $y$ -intercept of the graph and determine its interpretation in the context of the problem.

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Problem 2568

The desired sum is $\$ 3500$ . Payments are made at the end of each quarter for 5 years. Interest is $8 \%$ per year compounded quarterly.

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Problem 2569

Calculate $F(8)$ given that $F(5)=3$ and $F^{\prime}(x)=x^{2}$ . Hint: Express $F(8)-F(5)$ as a definite integral. (Use symbolic notation and fractions where needed.) $F(8)=$

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Problem 2570

Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide is believed to drive temperature, so predictions of future carbon dioxide levels are important. If $C(t)$ is carbon dioxide level in parts per million ( ppm ) and $t$ is time in years since 1950, three possible models are ${ }^{1}$ : I. $C^{\prime}(t)=1.3$ II. $C^{\prime}(t)=0.5+0.03 t$ III. $C^{\prime}(t)=0.5 e^{0.02 t}$ (a) Given that the carbon dioxide level was 298 ppm in 1950, find $C(t)$ for each model. I. $C(t)=$ $\square$ II. $C(t)=$ $\square$ III. $C(t)=$ $\square$

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Problem 2571

Which of the following investments produces the most interest on a \1000 investment? Write the correct letter into the answerbox. \# of compounding period rate of interest years to invest \begin{tabular}{|l|r|r|r|} \hline A) & 4 & 4.00 \% & 12 \\ \hline B) & 12 & 3.50 \% & 12 \\ \hline C) & 12 & 3.80 \% & 12 \\ \hline D) & 1 & 4.25 \%$ & 11 \\ \hline \end{tabular}

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Problem 2572

The volume of blood in a person's body is proportional to body weight. A person who weighs 130 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 170 pounds.
Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators. $\frac{x}{\square}=\frac{\square}{\square}$ (Do not simplify.) There are approximately $\square$ quarts of blood in a person who weighs 170 pounds. (Round to two decimal places as needed.)

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Problem 2573

33. $\cos ^{6} x-\sin ^{6} x=\cos 2 x\left(1-\frac{1}{4} \sin ^{2} 2 x\right)$

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Problem 2574

Use the Fundamental Theorem to evaluate the definite integral exactly. $\int_{0}^{3} t^{3} d t=$ $\square$

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Problem 2575

correction de Capplication 2! Srit deur nobiles Met $P$ d'équat ion formire respective O\{ $\left\{\begin{array}{l}y=3 t-2 \\ x=t+1\end{array} ;\right.$ Etablir $P\left\{\begin{array}{l}y=-5 t^{2}+i n h \\ x=2 t\end{array}\right.$ 1) Etablir lesequations cartésienses de chaque mobiles. 2) Quelle est la nature dela trajectoire pourchaque mobile.

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Problem 2576

After changing the amount of time she works, Lucia has begun earning a salary of $\$ 186,732$ . That is $4 \%$ more than before. How much did Lucia's salary use to be? \$ Submit

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Problem 2577

Convert to Standard Form $y=\frac{2}{3} x-9$ $\square$ $\square$ $\square$ $\square$

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Problem 2578

Change to Standard Form: $y=-\frac{2}{3} x-4$ $\square$ $x$ $\square$ $+$ $\square$ $y=$ $\square$

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Problem 2579

Real estate ads suggest that $51 \%$ of homes for sale have garages, $36 \%$ have swimming pools, and $33 \%$ have both features. What percentage of homes for sale have a) a pool or a garage?
Answer = $\square$ \% b) neither a pool nor a garage?
Answer = $\square$ \% c) a pool but no garage?
Answer = $\square$ \%
Note: Enter your answers as percentages, not decimals.

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Problem 2580

$\text{Make a graph of the situation.}
\text{The equation } y = -2x + 8 \text{ represents the amount } y \text{ (in fluid ounces) of dish detergent in a bottle after } x \text{ days of use.}$

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Problem 2581

Time Elapsed: 00:26:29 [] FLAG
A nurse is preparing to administer methadone 2.5 mg PO every 8 hr . Available is methadone 5 mg tablets. How many tablets should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ tablet(s) PREVIOUS CONTINHE

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Problem 2582

Graph the equation $y=x^{2}+2 x-8$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

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Problem 2583

Score: 0/2 Penalty: none
Question Watch Video Show Examples
What is the equation of the line that passes through the point $(4,-4)$ and has a slope of -3 ? (Diagonal (Diagonal Answer Attempt 1 out of 4 $\square$ Submit Answer Log Out Copyright 02024 DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service

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Problem 2584

At the start of each track practice, Olivia warms up by jogging 800 meters at a steady pace, which takes her 5 minutes. At that rate, how long will Olivia's warm-up take her if she increases its length to 1,280 meters?
Write your answer as a whole number or decimal. minutes

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Problem 2585

Bonnie participated in a walkathon to raise money for an animal shelter. She walked at a steady rate of 400 meters every 5 minutes. She walked a total of 3,600 meters in the walkathon. How long did Bonnie spend walking?
Write your answer as a whole number or decimal. $\square$ minutes

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Problem 2586

Score: 0/1 Penalty: none
Question Watch Video Show Examples
What is an equation of the line that passes through the point $(-1,-6)$ and is perpendicular to the line $x+4 y=12$ ?
Answer Attempt 1 out of 4 $\square$ Submit Answer

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Problem 2587

Francesca and Greg are on a road trip from San Francisco to Austin. They drove 238 miles in 3.5 hours before stopping for gas. Now, they plan to drive for another 6 hours before stopping for dinner.
If they travel at the same speed as before, how far will Francesca and Greg drive between now and dinner?
Write your answer as a whole number or decimal. miles

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Problem 2588

Solve for $x$ $100^{1-2 x}=10^{-6 x}$

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Problem 2589

Question 7 Mathway I Sign In or Sign Up
Given $y=-4.12 x+4.12$ . What is the slope of this line? $\square$ $\square$
Question 8
Given $y=-\frac{9}{7} x-0.435$ . What is the $y$ -intercept of this line? $\square$
Question 9
Given $y=9 x+5.42$ . What is the $y$ -intercept of this line? $\square$
Question 10
Given $y=1.82 x+0.23$ . What is the slope of this line?

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Problem 2590

TDSB Bookmarks 品 Angles on Cartesian Plane 1 2 3 4 5 6 7 8 10 11 12 13 14 15 1
12. If $\sin \theta=0.8988$ , find the value of $\theta$ correct to two decimal places, where $0 \leq \theta<2 \pi$ .
12a Find the acute angle $\theta$ that solves the equation. $\theta=$ |Enter your next step here $\square$

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Problem 2591

Calculate the consumers' surplus at the indicated unit price $\bar{p}$ for the demand equation. HINT [See Example 1.] (Round your answer to the nearest cent.) $q=130-0.25 p^{2} ; \bar{p}=8$

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Problem 2592

Calculate the producers' surplus for the supply equation at the indicated unit price $\bar{p}$ . HINT [See Example 2.] (Round your answer to the nearest cent.) $p=140+e^{0.01 q} ; \bar{p}=170$ $\square$ Enter a number.

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Problem 2593

21) Solve the word problem.
A donut shop uses 2.5 pounds of flour an hour. How much will it use in 4.5 hours? 9.0 pounds 11.0 pounds 11.25 pounds 10.25 pounds

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Problem 2594

8 What is an equation of the line that passes through $(3,7)$ and has a slope of 2? (1) $y-7=2(x-3)$ (3) $y+7=2(x+3)$ (2) $y-3=2(x-7)$ (4) $y+3=2(x+7)$

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Problem 2595

A line is subdivided according to the golden ratio, with the smaller piece having a length of 5 meters. What is the length of the entire line? Use $\phi \approx 1.618$ .
The length of the entire line is $\square$ meters. (Type an integer or a decimal rounded to one decimal place as needed.)

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Problem 2596

k) $\frac{1-\sin ^{2} x \cos ^{2} x}{\cos ^{4} x}=\tan ^{4} x+\tan ^{2} x+1$

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Problem 2597

1. Determine the equation of the graphed function given that it is of the form $y=a \sin b x$ or $y=a \cos b x$ , where $b$ is positive.
Enter your next step here $\square$ Submit step View next step

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Problem 2598

What is the exponential form of the logarithmic equation? $3=\log _{0.6} 0.216$
Enter your answer in the box. $\square$

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Problem 2599

Which equation represents this sentence? 3 times the difference of 6 and a number is equal to $6-3 x=15$ $3 x-6=15$ $3(6-x)=15$ $3(x-6)=15$

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Problem 2600

$3|x-1|-1=11$ $x=3,5$ $x=-5,3$ $x=-3,5$ $x=5$

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Equation

Problem 2501

Problem 2502

(5 Points) If a proton (mp=1.67×10−27 kg)\left(m_{p}=1.67 \times 10^{-27} \mathrm{~kg}\right)(mp​=1.67×10−27 kg) has a de Broglie wavelength of 14.5 nm , calculate the velocity of the proton.

Problem 2503

If 2+e3x=42+e^{3 x}=42+e3x=4, then solve for xxx. Note: Round your answer to 2 decimal points and do not include any special characters. For example, if your answer is .1234, enter it as . 12. □\square□

Problem 2504

Problem 2505

Problem 2506

Problem 2507

Problem 2508

In Exercises 3 and 4 , solve for yyy in terms of xxx.3. y29+x24=1\frac{y^{2}}{9}+\frac{x^{2}}{4}=19y2​+4x2​=14. x236+y225=1\frac{x^{2}}{36}+\frac{y^{2}}{25}=136x2​+25y2​=1

Problem 2509

Problem 2510

Problem 2511

Problem 2512

Find RRR and θ\thetaθ given the components Rx=17.57R_{x}=17.57Rx​=17.57 and Ry=6.94R_{y}=6.94Ry​=6.94. R=□\mathrm{R}=\squareR=□ (Round to the nearest hundredth as needed.)

Problem 2513

Problem 2514

What is the rate of change of a line going through the points (−2,−3)(-2,-3)(−2,−3) and (2,9)(2,9)(2,9). *Only type the value in the space provided □\square□

Problem 2515

Problem 2516

Problem 2517

Problem 2518

y=x−5x2−25y=\frac{x-5}{x^{2}-25}y=x2−25x−5​

Problem 2519

Jose spent $9.30\$ 9.30$9.30 on 15 pencils. How much did each pencil cost? Enter your answer in the box. \ \square$

Problem 2520

Problem 2521

7. x=x=x= \qquad y=y=y=

Problem 2522

8. x=y=\begin{array}{l} x= \\ y= \end{array}x=y=​ \qquad

Problem 2523

1. Find the general solution of the following differential equation by the method of undetermined coefficients: y′′+2y′−24y=16−(x+2)e4xy^{\prime \prime}+2 y^{\prime}-24 y=16-(x+2) e^{4 x}y′′+2y′−24y=16−(x+2)e4x

Problem 2524

In Exercises 3-4, write an equation in standard form of the line that passes through the given points. 3. 4.

Problem 2525

Oenvar200020 A. 6.61 g sample of an unknowin sall (MM=116.82 g/mol/is(M M=116.82 \mathrm{~g} / \mathrm{mol} / \mathrm{is}(MM=116.82 g/mol/is salt and waterts 23.72∘23.72^{\circ}23.72∘. Atter the sati has . the salt and wale the enperature of the solution 1 s 28.54

Problem 2526

4. What is the standard form of the equation below? y=3(x−2)2−5y=3(x-2)^{2}-5y=3(x−2)2−5Standard Form: f(x)=ax2+bx+cf(x)=a x^{2}+b x+cf(x)=ax2+bx+c

Problem 2527

5. What is the equation of the graph below? Clea

Problem 2528

Problem 2529

Solve for x:2∣2x−4∣−5=−3x: 2|2 x-4|-5=-3x:2∣2x−4∣−5=−3 No solution. x=52x=\frac{5}{2}x=25​ or x=32x=\frac{3}{2}x=23​ x=154x=\frac{15}{4}x=415​ or x=214x=\frac{21}{4}x=421​ x=52x=\frac{5}{2}x=25​ or x=4x=4x=4

Problem 2530

Problem 2531

For which of the following equations is the value of xxx equal to 10 ? Select all that apply. A) x+10=20x+10=20x+10=20 B) 10x=1010 x=1010x=10 C) 20÷x=220 \div x=220÷x=2 D) 4x=104 x=104x=10 E) 20−x=1020-x=1020−x=10

Problem 2532

Is 50,−50,2050,-50,2050,−50,20, or -20 the solution of the equation 15=c−3515=c-3515=c−35 ?

Problem 2533

Problem 2534

Fill in the missing numbers to complete the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 1 & 0 \\ \hline 2 & 1 \\ \hline 3 & 2 \\ \hline 4 & 3 \\ \hline \end{tabular} y=y=y= □\square□ □\square□Save answer

Problem 2535

Problem 2536

2. Solve the following equation for Real Number (s) xxx 13x+5−25x−3=0\frac{1}{3 x+5}-\frac{2}{5 x-3}=03x+51​−5x−32​=0

Problem 2537

Calculate the size of angle xxx.

Problem 2538

Problem 2539

Problem 2540

Problem 2541

Problem 2542

Problem 2543

of Find of k volue 0=2x−x+9−k\begin{array}{l}\text { of Find of } k \text { volue } \\ 0=2 x-x+9-k\end{array} of Find of k volue 0=2x−x+9−k​

Problem 2544

Convert the following expressions between exponential and logarithmic form. a. 2401=742401=7^{4}2401=74 [1 mark] b. a=log⁡bc\quad a=\log _{\mathrm{b}} ca=logb​c [1 mark]

Problem 2545

Problem 2546

Practice NameWrite the slope-intercept form of the equation of each lin 1) 2) y=−3y=-3y=−3 3) 5)

Problem 2547

Practice Write the slope-intercept form of the equation of each (1) 2) 3) 5)

Problem 2548

Solve for xxx. 4x=21x=2.192\begin{array}{l} 4^{x}=21 \\ x=2.192 \end{array}4x=21x=2.192​ (Type an intejer or a decimal. Round to four decimal places as needed. Use a comma to separate answers as needed.

Problem 2549

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of 3ft/s3 \mathrm{ft} / \mathrm{s}3ft/s, at what rate is the length of his shadow changing?

Problem 2550

=sin⁡(cos⁡6x)+sin⁡6xcos⁡x=sin⁡(x+6x)=sin⁡7x\begin{array}{l}=\sin (\cos 6 x)+\sin 6 x \cos x \\ =\sin (x+6 x)=\sin 7 x\end{array}=sin(cos6x)+sin6xcosx=sin(x+6x)=sin7x​

Problem 2551

113⋅1313=\frac{1}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}=13​1​⋅13​13​​=

(5 Points) If a proton $\left(m_{p}=1.67 \times 10^{-27} \mathrm{~kg}\right)$ has a de Broglie wavelength of 14.5 nm , calculate the velocity of the proton.

If $2+e^{3 x}=4$ , then solve for $x$ . Note: Round your answer to 2 decimal points and do not include any special characters. For example, if your answer is .1234, enter it as . 12. $\square$

In Exercises 3 and 4 , solve for $y$ in terms of $x$ .
3. $\frac{y^{2}}{9}+\frac{x^{2}}{4}=1$
4. $\frac{x^{2}}{36}+\frac{y^{2}}{25}=1$

Find $R$ and $\theta$ given the components $R_{x}=17.57$ and $R_{y}=6.94$ . $\mathrm{R}=\square$ (Round to the nearest hundredth as needed.)

What is the rate of change of a line going through the points $(-2,-3)$ and $(2,9)$ . *Only type the value in the space provided $\square$

$y=\frac{x-5}{x^{2}-25}$

Jose spent $\$ 9.30$ on 15 pencils. How much did each pencil cost? Enter your answer in the box. \\square$

7. $x=$ $\qquad$ $y=$

8. $\begin{array}{l} x= \\ y= \end{array}$ $\qquad$

1. Find the general solution of the following differential equation by the method of undetermined coefficients: $y^{\prime \prime}+2 y^{\prime}-24 y=16-(x+2) e^{4 x}$

Oenvar200020 A. 6.61 g sample of an unknowin sall $(M M=116.82 \mathrm{~g} / \mathrm{mol} / \mathrm{is}$ salt and waterts $23.72^{\circ}$ . Atter the sati has . the salt and wale the enperature of the solution 1 s 28.54

4. What is the standard form of the equation below? $y=3(x-2)^{2}-5$
Standard Form: $f(x)=a x^{2}+b x+c$

Solve for $x: 2|2 x-4|-5=-3$ No solution. $x=\frac{5}{2}$ or $x=\frac{3}{2}$ $x=\frac{15}{4}$ or $x=\frac{21}{4}$ $x=\frac{5}{2}$ or $x=4$

For which of the following equations is the value of $x$ equal to 10 ? Select all that apply. A) $x+10=20$ B) $10 x=10$ C) $20 \div x=2$ D) $4 x=10$ E) $20-x=10$

Is $50,-50,20$ , or -20 the solution of the equation $15=c-35$ ?

Fill in the missing numbers to complete the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 0 \\ \hline 2 & 1 \\ \hline 3 & 2 \\ \hline 4 & 3 \\ \hline \end{tabular} $y=$ $\square$ $\square$
Save answer

2. Solve the following equation for Real Number (s) $x$ $\frac{1}{3 x+5}-\frac{2}{5 x-3}=0$

Calculate the size of angle $x$ .

$\begin{array}{l}\text { of Find of } k \text { volue } \\ 0=2 x-x+9-k\end{array}$

Convert the following expressions between exponential and logarithmic form. a. $2401=7^{4}$ [1 mark] b. $\quad a=\log _{\mathrm{b}} c$ [1 mark]

Practice Name
Write the slope-intercept form of the equation of each lin 1) 2) $y=-3$ 3) 5)

Solve for $x$ . $\begin{array}{l} 4^{x}=21 \\ x=2.192 \end{array}$ (Type an intejer or a decimal. Round to four decimal places as needed. Use a comma to separate answers as needed.

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of $3 \mathrm{ft} / \mathrm{s}$ , at what rate is the length of his shadow changing?

$\begin{array}{l}=\sin (\cos 6 x)+\sin 6 x \cos x \\ =\sin (x+6 x)=\sin 7 x\end{array}$

$\frac{1}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}=$

6.
Find the measure of $\angle J$ . A. 10 B. 11 C. 67 D. 65

16. Use the quadratic formula to find the roots (answers). $3 x^{2}-5 x+3=0$

4. State the Quadratic formula and use it to solve the equation: $3 x^{2}+8 x+6=0$

Resol
Find the area of $S$ , which is the portion of the plane $2 x+3 y+4 z=28$ lying above the rectangle $2<x<4,4<y<9$ in the xy-plane. (Use symbolic notation and fractions where needed.) $\operatorname{arca}(S)=$ $\square$

The desired sum is $\$ 3500$ . Payments are made at the end of each quarter for 5 years. Interest is $8 \%$ per year compounded quarterly.

Calculate $F(8)$ given that $F(5)=3$ and $F^{\prime}(x)=x^{2}$ . Hint: Express $F(8)-F(5)$ as a definite integral. (Use symbolic notation and fractions where needed.) $F(8)=$

33. $\cos ^{6} x-\sin ^{6} x=\cos 2 x\left(1-\frac{1}{4} \sin ^{2} 2 x\right)$

Use the Fundamental Theorem to evaluate the definite integral exactly. $\int_{0}^{3} t^{3} d t=$ $\square$