Solve

Problem 2401

6x2+10x+9=2x2+6x+86 x^{2}+10 x+9=2 x^{2}+6 x+8

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Problem 2402

2(x1)2=322(x-1)^{2}=-32

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Problem 2403

What is the molar mass of a gas with a density of 0.657 g/L0.657 \mathrm{~g} / \mathrm{L} at 1.00 atm and 298 K ? R=0.08206 L atm/mol K\mathrm{R}=0.08206 \mathrm{~L} \mathrm{~atm} / \mathrm{mol} \mathrm{~K}

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Problem 2404

A population of 80,000 toads is expected to shrink at a rate of 9.2%9.2 \% per year.
What will the toad population be in 20 years? 3632 7360 11,609 72,640

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Problem 2405

2. (xsin(yx)ycos(yx))dx+xcos(yx)dy=0\left(x \sin \left(\frac{y}{x}\right)-y \cos \left(\frac{y}{x}\right)\right) d x+x \cos \left(\frac{y}{x}\right) d y=0 diferansiyel denklemin genel çözümünü bulunuz (20p).

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Problem 2406

27x3+64=027 x^{3}+64=0

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Problem 2407

Weekly Evaluation for week refraction is 2222^{\circ}, calculate the critical angle of the ray when it moves from the liquid to the air 2) Find the critical angle for light moving from water with a refractive index of 1.333 to ice with a refractive index of 1.309 3) Two media with different optical densities, the critical angle between them is 5050^{\circ} and the absolute refractive index of the denser medium is 1.5 , calculate the absolute refractive index of the less dense medium

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Problem 2408

Solve the inequality for xx. 2>2x+42>2 x+4
Simplify your answer as much as possible.

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Problem 2409

Solve for xx. 4x39=5(x+3)-4 x-39=5(x+3)
Simplify your answer as much as possible. x=x=

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Problem 2410

23x+5+713-2|3 x+5|+7 \geq-13
Question No. 3: If prices increase at a monthly rate of 1.5%1.5 \% by what percentage do they increase in a year?

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Problem 2411

Solve for yy. 8=49y8=-\frac{4}{9} y
Simplify your answer as much as possible. y=y=

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Problem 2412

9) x24x+40x^{2}-4 x+4 \leq 0 eşitsizliğinin çözüm kümesi aşağıdakilerden hangisidir? A) (,2][2,)(-\infty, 2] \cup[2, \infty) B) [,][-\infty, \infty] C) {2}\{2\} D) [,2][-\infty, 2] E) (,2)(2,)(-\infty, 2) \cup(2, \infty)

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Problem 2413

Find the differential of y=cos(6πx)y=\cos (-6 \pi x).

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Problem 2414

Equations and Inequalities 15 Solving a word problem using a one-step linear Inequality
Tony buys candy that costs $6\$ 6 per pound. He will buy at least 12 pounds of candy. What are the possible amounts he will spend on candy? Use cc for the amount (in dollars) Tony will spend on candy. Write your answer as an inequality solved for cc. \square \cdot< \square \square >>\square \square S \geq \square

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Problem 2415

00110.0001 \quad 10.0 points For an arithmetic sequence a1=13 and d=12.a_{1}=13 \text { and } d=-\frac{1}{2} .
Find the term a23a_{23} of the sequence. 00210.0002 \quad 10.0 points Consider an arithmetic sequence where a1=10 and d=5a_{1}=10 \text { and } d=5 \text {. }
Find the term a27a_{27} of the sequence.

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Problem 2416

กิจกรรมย่อยที่ 4 สถานการณ์ปัญหาที่ใช้ Bar Model เป็นเครื่องมือ
1. ร้านขายแอปเปิลแห่งหนึ่ง เมื่อวานขายเอปเปิลได้ 25\frac{2}{5} ของทั้งหมด วันนี้ก่อนเที่ยงขายแอปเปิลได้ 25 ผล และหลังเที่ยงขายแอปเปิลได้ 55 ผล ถ้าทั้งสองวันขายแอปเปิลได้ 300 ผล จงหาว่าเหลือแอปเปิลอีกกี่ผล

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Problem 2417

A large room has tiles laid out in a regular pattern as below. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & 2m2 m & & & & & & \\ \hline & & 2m2 m & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline \end{tabular}
If each of these tiles is 2 m×2 m2 \mathrm{~m} \times 2 \mathrm{~m}, how far is it (in a straight line) between the two marked points?
Distance == \square m.

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Problem 2418

Starting from 1-hexene, what is the product of the following reactions?
1. Br2,CCl4\mathrm{Br}_{2}, \mathrm{CCl}_{4} 2.xs NaNH2\mathrm{NaNH}_{2}, then H2O\mathrm{H}_{2} \mathrm{O} 3. NaH 4 . BrCH2CH2CH3\mathrm{BrCH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{3} 2-heptyne 1-hexyne 4-nonyne 3-nonyne 2-bromo-2-hexane

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Problem 2419

Solve the inequality for uu. 15u91-5 u \leq-9
Simplify your answer as much as possible.

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Problem 2420

Find the surface area of the cone below. Leave your answer in terms of π\pi. SASA=[?]πcm2\frac{S A}{S A=[?] \pi \mathrm{cm}^{2}}

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Problem 2421

1. Find the derivatives of the following functions: a) y=x3sinhxy=\frac{x^{3}}{\sinh x} b) y=tanh32xy=\tanh ^{3} 2 x c) y=ecosh4x2y=e^{\cosh 4 x^{2}}

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Problem 2422

Marcus receives an inheritance of $4,000\$ 4,000. He decides to invest this money in a 16-year certificate of deposit (CD) that pays 5.5%5.5 \% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 16 years?
Marcus will receive \ \square$ (Round to the nearest cent.)

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Problem 2423

Find the volume of this cylinder. Round to the nearest tenth. Submit

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Problem 2424

1. Write a balanced chemical equation, including physical state symbols, for the combustion of liquid nonane into gaseous carbon dioxide and gaseous water. C9H20(l)+14O2(g)9CO2(g)+10H2O(g)\mathrm{C}_{9} \mathrm{H}_{20}(l)+14 \mathrm{O}_{2}(g) \rightarrow 9 \mathrm{CO}_{2}(g)+10 \mathrm{H}_{2} \mathrm{O}(g)
2. Suppose 0.340 kg of nonane are burned in air at a pressure of exactly 1 atm and a temperature of 15.0C15.0^{\circ} \mathrm{C}. Calculate the volume of carbon dioxide gas that is produced. Round your answer to 3 significant digits. \square L

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Problem 2425

Clever | Portal Big Ideas Math:Assessment bigideasmath.com/BIM/student/assignment?studentAssignmentId=cda1057e-bdb8-45d7-80f1-8 몸ㅁㅁㅁㅣ 煰品 Play Kahootl-Enter. 0 Classroom Learn to Type I Type. BIG IDEAS MATH Course 3: CA > Chapter 3: Angles of Polygons > Section Exercises 3.3 > Exercise 36
Solve the proportion. 9x=62\frac{9}{x}=\frac{6}{2} x=18xx=18 x x \qquad \qquad 36

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Problem 2426

Given 273=k\sqrt[3]{27}=k, where kk is an integer, what is the value of kk ?

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Problem 2427

The decibel level of a sound is given by dB=10log(EE0)d B=10 \log \left(\frac{E}{E_{0}}\right), where E0=1012 watts m2E_{0}=10^{-12} \frac{\text { watts }}{m^{2}} and EE is the intensity of the sound. (a) Find the intensity of a 120-decibel sound. E=E= \square watts per square meter. (b) How many times more intense is the sound from (a) than a 90-decibel sound?
A sound at 120 decibels is \square times more intense than a sound at 90 decibels. (c) The loudness (perceived volume by the human ear) of a sound of dd decibels doubles each time the intensity of a sound increases by a factor of ten. To the human ear, how many times louder does a 120-decibel sound seem than a 90-decibel sound? A sound at 120 decibels sounds \square times louder than a sound at 90 decibels.

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Problem 2428

Write the coordinates of the vertices after a dilation with a scale factor of 3 , centered at the origin. P(,)Q(,)R(,)S(,)\begin{array}{l} P^{\prime}(\square, \square) \\ Q^{\prime}(\square, \square) \\ R^{\prime}(\square, \square) \\ S^{\prime}(\square, \square) \end{array}

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Problem 2429

Write the coordinates of the vertices after a dilation with a scale factor of 2 , centered at the origin. Q(,)Q^{\prime}(\square, \square) R(,)R^{\prime}(\square, \square) S(,)S^{\prime}(\square, \square) T(,)T^{\prime}(\square, \square)

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Problem 2430

In the figure below, hjh \| j. Find the values of xx and zz. x=x= \square z=z= \square

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Problem 2431

3. 10(3)2(49)3+5\frac{10-(-3)^{2}-(-4-9)}{-3+5}

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Problem 2432

8. g+12=32g+\frac{1}{2}=-\frac{3}{2}

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Problem 2433

20. In the figure, find the coordinates of the mid-point of ABA B. A. (72,352)\left(-\frac{7}{2},-\frac{35}{2}\right) B. (52,254)\left(-\frac{5}{2},-\frac{25}{4}\right) C. (52,372)\left(-\frac{5}{2},-\frac{37}{2}\right) D. (72,352)\left(\frac{7}{2}, \frac{35}{2}\right)
By Ameina 20 Maple Tutorial Centre

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Problem 2434

1 2 3 4 5 6 7 8 9 10
Edward purchased his home for $89,000\$ 89,000. For the first three years after he moved in, the real estate market was very lively, so his property value grew by 4.8%4.8 \% every year. For the next five years, the market slowed down somewhat, and his property value grew by 2.6%2.6 \% every year. How much had the value of Edward's home increased after eight years, to the nearest hundred dollars? a. $25,700\$ 25,700 b. $27,500\$ 27,500 c. $30,000\$ 30,000 d. $13,200\$ 13,200
Please select the best answer from the choices provided

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Problem 2435

3. Calculate the volume of a cylinder where: a) the area of the base is 30 cm230 \mathrm{~cm}^{2} and the height is 6 cm . b) the radius of the base is 14 cm and the height is 10 cm .

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Problem 2436

1. You have a right rectangular prism and you're required to find the perimeter, area of the base, and the volume. The measurement of the given prism is as follows:  Length =60 cm Width =10 cm Height =5 cm\begin{array}{l} \text { Length }=60 \mathrm{~cm} \\ \text { Width }=10 \mathrm{~cm} \\ \text { Height }=5 \mathrm{~cm} \end{array}

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Problem 2437

The derivative of y=etan1xy=e^{\tan ^{-1} x} is:

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Problem 2438

Using an appropriate substitution (Inverse trigonometric): dxx2+6x+90=\int \frac{d x}{x^{2}+6 x+90}=

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Problem 2439

Exercise 10 ( 9 marks)
Luigi and Guido both win a $2000\$ 2000 prize in a car race. They have a choice of investments to make.
Luigi invests his money for 5 years at 3.5%3.5 \% pa compounding annually Guido invests his money for 5 years at 3\% pa compounding monthly a) How much interest has Luigi made on his investment after 5 years? (3 marks) b) How much is Guido's investment worth after 5 years? (3 marks) c) How much money would Guido need to have invested in his bank to have the same amount of money as Luigi after 5 years? (3 marks)

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Problem 2440

Esercizio 1. Rispondere al più a uno dei seguenti quesiti. i) Calcolare, al variare del parametro α[0,+)\alpha \in[0,+\infty), il limite per n+n \rightarrow+\infty della successione (an)n\left(a_{n}\right)_{n} tale che an=sin6nexp(2lognn32)1[1cos(1nα)],n1a_{n}=\frac{\sin \frac{\sqrt{6}}{n}}{\exp \left(\frac{2 \log n}{n^{\frac{3}{2}}}\right)-1}\left[1-\cos \left(\frac{1}{n^{\alpha}}\right)\right], \quad n \geq 1

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Problem 2441

2. Вычислить интеграл: l(iz3+3)dz\int_{l}\left(i z^{3}+3\right) d z, где ll - отрезок прямой от точки z1=1z_{1}=1 до точки z2=iz_{2}=i.

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Problem 2442

2. Solve the following set of linear equations by the matrix method: a) x1+3x2+2x3=32x1x23x3=85x1+2x2+x3=9\begin{array}{l} x_{1}+3 x_{2}+2 x_{3}=3 \\ 2 x_{1}-x_{2}-3 x_{3}=-8 \\ 5 x_{1}+2 x_{2}+x_{3}=9 \end{array} A Self-regulated Learning Module

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Problem 2443

In the figure, the solid consists of two hemispheres. The radii of the two hemispheres are 5 cm and 12 cm . (a) Find the total surface area of the solid. (b) If the cost of painting the solid is $8/m2\$ 8 / \mathrm{m}^{2}, find the total cost of painting 100 identical solids. Give the answers correct to 3 significant figures.)

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Problem 2444

Example: Differentiate the following functions.
1. f(x)=(x4+3)50f(x)=\left(x^{4}+3\right)^{50}
2. g(t)=t3sintg(t)=\sqrt{t^{3} \sin t}

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Problem 2445

(6) Im Quader liegt das Dreieck ABH. a) Berechne den Umfang des Dreiecks. b) Berechne die Größe des Winkels α\alpha.

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Problem 2446

3. Calculate the volume of a cylinder where: a) the area of the base is 30 cm230 \mathrm{~cm}^{2} and the height is 6 cm . b) the radius of the base is 14 cm and the height is 10 cm .

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Problem 2447

2 A medicine manufacturer produces pain relieving tablets. Each tablet is in the shape of a solid circular cylinder with base radius x mmx \mathrm{~mm} and height hh mm , whose surface area is A=2πx2+120xA=2 \pi x^{2}+\frac{120}{x} where AA is measured in mm2\mathrm{mm}^{2}. If the manufacturer wishes to minimize the surface area of each tablet, find the value of xx for which AA is a minimum, to 2 decimal places. A. 2.21 B. 2.12 C. 1.23 D. 1.32

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Problem 2448

4. Find the value of aa in the given right-angled triangle. Hence write down the value of (i) sinB\sin B (ii) cosB\cos B (iii) tanB\tan B.
5. The angle θ\theta and three sides of a right-angled triangle are shown in the given diagram. State whether each of these ratios represent sinθ,cosθ\sin \theta, \cos \theta or tanθ\tan \theta. (i) 45\frac{4}{5} (ii) 441\frac{4}{\sqrt{41}} (iii) 541\frac{5}{\sqrt{41}}.
6. Given that cosB=5113\cos B=\frac{51}{13}, draw a rough sketch of a right-angled triangle and use it to write down the ratios, sinB\sin B and tanB\tan B.
7. (i) If tanA=12\tan A=\frac{1}{2}, find sinA\sin A. (ii) If cosB=25\cos B=\frac{2}{5}, find tanB\tan B.

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Problem 2451

38÷14=\frac{3}{8} \div \frac{1}{4}=

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Problem 2452

2÷323=2 \div 3 \frac{2}{3}=
Sulmity

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Problem 2453

2.0 Було зібрано врожай з 18 га поля, що становило 712\frac{7}{12} площі поля. Яка площа всього поля?
3. Р Розв'яжіть рівняння: 1) 49x=3,6\frac{4}{9} x=3,6; 2) 427x=14 \frac{2}{7} x=1.

40 Перетворіть звичайний дріб 518\frac{5}{18} у нескінченний періодичний десятковий дріб і вкажіть його період.
5. Виконайте дії: (3112721718):12327+335:3\left(3 \frac{11}{27}-2 \frac{17}{18}\right): 1 \frac{23}{27}+3 \frac{3}{5}: 3.
6. Відстань між двома пристанями дорівнює 330 км. Від цих пристаней одночасно назустріч один одному вирушили два катера. Швидкість одного з них дорівнює 24 км/год, що становить 67\frac{6}{7} швидкості другого. Якою буде відстань між катерами через 4,5 год після початку руху? 7." у 6-А класі навчається 40%40 \% шестикласників, у 6-Б - 1327\frac{13}{27} остачі, а в 6-В - решта 28 учнів. Скільки всього шестикласників навчається в цій школі?

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Problem 2454

3. Ali, haziran ayinda kumbarasina; 6'nın doğal sayı katı olan günlerinde 6 TL , 8080^{\prime \prime} in dogal sayi bolenleri olan gônlorinde 8 TL atmis, gori kalan günierde kumbarasına para atmamıştir.
Haziran ayn 30 gün olduğuna göro, All bu ayda toplamkaç TL blriktirmiģír? A) 90 B) 92 C) 94 D) 114

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Problem 2455

All, haziran ayinda kumbarasina: 6'nin dogal sayı katı olan günlerinde 6 TL , 80'in dogal sayı bolenleri olan gônlerinde 8 TL atmıs, gori kalan günierde kumbarasına para atmamişıғ.
Haziran ayı 30 gün olduğuna göro, All bu ayda toplamkaç TL biriktirmiģtir? A) 90 B) 92 C) 94 D) 114

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Problem 2456

Differentiate the function. y=(9x4x+4)(x5+3)y=\left(9 x^{4}-x+4\right)\left(-x^{5}+3\right)

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Problem 2457

Use the quotient rule to find the derivative of the following. y=x23x+1x2+5y=\frac{x^{2}-3 x+1}{x^{2}+5}

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Problem 2458

5. Açagidaki baloniann her birinin Ozorine birer dogal sayryazilmistir.
12 144 180
Ozerinde 12 'nin dogal sayn katı olan balonlar patlatilacagına göre kaç tane balon patlatiligıtir? A) 2 B) 3 C) 4 D) 5

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Problem 2459

Find the value of aa in rectangle PQRSP Q R S. a=a= Submit Work it out

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Problem 2460

(5) places, show both decimal places (5.06).
Justin is a golf pro. He works eight months per year, and is paid $76,000\$ 76,000. During the winter months, he teaches golf privately and earns another $12,500\$ 12,500. What is his average monthly salary based on his total yearly earnings? $7,375.00\$ 7,375.00
Hide Feedback Correct

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Problem 2461

3) f(x)=2(5x+1)f(x)=2(5 x+1) f(0)=f(2)=f(2)=\begin{array}{l} f(0)= \\ f(-2)= \\ f(2)= \end{array}

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Problem 2462

SULIT DBM10013: ENGINEERING MATHEMATICS I
QUESTION 2 SOALAN 2 CLOI (a) Calculate the complex numbers below in the form of a+bia+b i. Kira nombor kompleks di bawah dalam bentuk a+bia+b i. i. (5+i)2(27i)(5+i)-2(-2-7 i) [3 marks] [3 markah] ii. 4+3i27i\frac{4+3 i}{-2-7 i} [5 marks] [5 markah]
ClOI (b) Calculate the modulus, argument and sketch the Argand Diagram for 105i-10-5 i.
Hitung modulus, hujah dan lakarkan Rajah Argand untuk -10 - 5i5 i. [7 marks] [7 markah] (c) CLO2 i. Solve the following expression in an exponential form.
Selesaikan ungkapan berikut dalam bentuk eksponen. 45(cos270+isin270)×5(cos50+isin50)15(cos110+isin110)\frac{45\left(\cos 270^{\circ}+i \sin 270^{\circ}\right) \times 5\left(\cos 50^{\circ}+i \sin 50^{\circ}\right)}{15\left(\cos 110^{\circ}+i \sin 110^{\circ}\right)} [6 marks] [6 markah] ii. Given that Z1=4125Z_{1}=4 \angle 125^{\circ} and Z2=40(cos25+isin25)Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right). Solve the Z2×Z1Z_{2} \times Z_{1} in polar form. Diberi Z1=4125Z_{1}=4 \angle 125^{\circ} dan Z2=40(cos25+isin25)Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right). Selesaikan Z2×Z1Z_{2} \times Z_{1} dalam bentuk polar. [4 marks] [4 markah ] 4 SULIT

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Problem 2463

Solve for xx. y=(7+x)my=(7+x) m

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Problem 2464

The triangles below are similar. Solve for the indicated side length.\text{The triangles below are similar. Solve for the indicated side length.}
Solve for side QR.QR=[?]\text{Solve for side } \mathrm{QR}. \quad \mathrm{QR}=[?]
Given:\text{Given:}
RS=75,RQ=2x7\text{RS} = 75, \quad \text{RQ} = 2x - 7
In the corresponding triangle:\text{In the corresponding triangle:}
AC=50,AB=42\text{AC} = 50, \quad \text{AB} = 42
Solve for RQ.\text{Solve for } \mathrm{RQ}.

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Problem 2465

What is the volume of the cone below? A. 56π56 \pi units 3^{3} B. 336π336 \pi units 3^{3} C. 112π112 \pi units 3^{3} D. 168π168 \pi units 3^{3}

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Problem 2466

Find the reference angle for 165-165^{\circ}.

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Problem 2467

2) Emma buys two types of fruit: apples for $2\$ 2 per pound and bananas for $1\$ 1 per pound. She buys a total of 12 pounds of fruit and spends $20\$ 20. How many pounds of each type of fruit did she buy? X:X:

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Problem 2468

Find the volume of the cone shown below. A. 392π392 \pi units 3^{3} B. 1176π1176 \pi units 3^{3} C. 1176 units 3^{3} D. 392 units 3^{3}

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Problem 2469

9. The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.
What is the time in seconds the toy robot moves when the total distance is 408 centimeters?
17 s 24 s 13 s 37 s Clear All

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Problem 2470

In preparation for landing, a pilot decreases the plane's speed from 65 m/s65 \mathrm{~m} / \mathrm{s} to 7 m/s7 \mathrm{~m} / \mathrm{s} in 25 seconds. What is the plane's acceleration?

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Problem 2472

20) The width of a rectangle is 2 units less than the length. The area of the rectangle is 15 square units. What is the length, in units, of the rectangle? (x(l2)=15(x(l-2)=15 21) The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution. 22) The width of a rectangle is 2 units less than the length. The area of the rectangle is 48 square units. What is the width, in units, of the rectangle?

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Problem 2473

Solve the rational inequality. 7) 4x+75x2+6>0\frac{-4 x+7}{5 x^{2}+6}>0

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Problem 2474

2. Solve for xx : 92x+1=(127)x19^{2 x+1}=\left(\frac{1}{27}\right)^{x-1} (4 marks)
3. An element has a half-life of 45 years. How long, in years, will it take for 8 g of the element to decay to 10 g ? ( 3 marks) A=A0(12)thA=A_{0}\left(\frac{1}{2}\right)^{\frac{t}{h}}

Caroline is looking to invest $5000\$ 5000 over 10 years. She must decide betu Bank A and Bank B.
Bank AA is offering an interest rate of 9%9 \% compounded semi-annually. 3ank B is offering an interest rate of 7.5%7.5 \% compounded monthly. etermine which option is better for Caroline. How much more will sh in? (5 marks)

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Problem 2475

1. We want to find the slope of the line passing through the points A(1,4)A(1,4) and B(8,25)B(8,25).
You can use this xyx y-plane and the sketchpad to plot the points and the line.
10. First, find the rise (change in the yy-value) between points AA and BB.

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Problem 2476

Eine 250-g-Packurs ) Von den 1200 Schülerinnen und Schülern einer Gesamtschule essen 45%45 \% täglich in d Mensa. Wie viele Schülerinnen und Schüler sind das? \begin{tabular}{ll} Gegeben: & \begin{tabular}{l} Grundwert G=\quad \mathrm{G}= \\ \\ Prozentsatz p%=\quad \mathrm{p} \%= \\ Gesucht: \\ \\ Prozentwert W \end{tabular} \end{tabular}
Antwort: \qquad

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Problem 2477

(15 points) Use an analytic method to solve 4x3=2x3\sqrt{4 x-3}=2 x-3

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Problem 2478

Find the average rate of change of the function f(x)=x3+2x25x+3 f(x) = x^3 + 2x^2 - 5x + 3 over the interval [1,5][1, 5].

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Problem 2479

```latex \text{Given:} \\ \text{An object is on a 45-degree incline. The weight of the object is 500 N. There is no friction. A force of 750 N is acting in the positive x-axis direction.} \\
\text{Find the resultant force parallel to the incline.} \\
\text{Details:} \\ \text{1. Incline angle: } \theta = 45^\circ \\ \text{2. Weight of the object: } W = 500 \, \text{N} \\ \text{3. Force acting in the positive x-axis: } F = 750 \, \text{N} \\ \text{4. No friction.} \\
\text{Calculate the component of the weight parallel to the incline:} \\ W_{\parallel} = W \cdot \sin(\theta) \\
\text{Calculate the component of the 750 N force parallel to the incline:} \\ F_{\parallel} = F \cdot \cos(\theta) \\
\text{Resultant force parallel to the incline:} \\ R_{\parallel} = F_{\parallel} - W_{\parallel} ```

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Problem 2480

{x+y=8xy=4\left\{\begin{array}{l}x+y=-8 \\ x-y=-4\end{array}\right.

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Problem 2481

Find the average rate of change of the function f(x)=2x1x+4 over the interval [3,8].\text{Find the average rate of change of the function } f(x) = \frac{2x-1}{x+4} \text{ over the interval } [-3, 8].

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Problem 2482

Buna göro bu likl calar saat ayme glindin ayadjdati 2amanlarindan hanglsinde beraber galieas? A) 13.50 8) 15.00 C) 18.50
012120

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Problem 2483

27. Niech A={(2,1),(1,1)},B={(1,3),(0,1)},C={(0,1),(1,4)}\mathcal{A}=\{(2,1),(1,1)\}, \mathcal{B}=\{(1,3),(0,1)\}, \mathcal{C}=\{(0,1),(1,4)\} i niech φ:R2R2\varphi: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} będzie takim przekształceniem liniowym, że M(φ)AB=(1234)M(\varphi)_{\mathcal{A}}^{\mathcal{B}}=\left(\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right). Znaleźć M(φ)ACM(\varphi)_{\mathcal{A}}^{\mathcal{C}}.

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Problem 2484

Numeric 1 point A software company is hiring for two positions: a software development engineer and a sales operation manager. How many ways can these positions be filled if there are 12 people applying for the engineering position and 17 people applying for the managerial position?
Type your answer...

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Problem 2485

Consider the following function: f(x)=eeeexf(x)=e^{e^{e^{e^{x}}}}. f(x)=f^{\prime}(x)=

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Problem 2486

3. A regression was run to determine if there is a relationship between the diameter ( xx,ininches) of a silver maple silver and the tree's age ( yy,ininches). The results of the regression are below. Use this to predict the age of a silver maple tree with diameter 22 inches. Round your answer to three decimal places. y=ax+ba=3.679b=0.54r=0.967\begin{array}{l} y=a x+b \\ a=3.679 \\ b=-0.54 \\ r=0.967 \end{array} age of tree: \qquad y=80.936y=80.936

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Problem 2487

5. Given m6=142m \angle 6=142^{\circ}, find the measure of each missing ang a. m1=m \angle 1= b. m2=m \angle 2= c. m3=m \angle 3= d. m4=m \angle 4= e. m<5=m<5=
5. 8007=8007=

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Problem 2488

For her phone service, Latoya pays a monthly fee of $18\$ 18, and she pays an additional $0.07\$ 0.07 per minute of use. The least she has been charged in a month is $98.71\$ 98.71.
What are the possible numbers of minutes she has used her phone in a month? Use mm for the number of minutes, and solve your inequality for mm. \square

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Problem 2489

x4=7\sqrt{x-4}=7

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Problem 2490

Numeric 1 point An access code consists of a letter followed by four digits. Any letter can be used, the first digit cannot be 0 , and the last digit must be even (consider 0 as an even number). What is the probability of randomly selecting the correct access code on the first try? Round your answer to the nearest hundred millionth ( 8 decimal places).

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Problem 2491

Determine the momentum of a 1000kg1000-\mathrm{kg} car moving northward at 20 m/s20 \mathrm{~m} / \mathrm{s}.

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Problem 2492

2. (i) x2=5+x3\frac{x}{2}=5+\frac{x}{3}

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Problem 2493

1. 25+36+14\frac{2}{5}+\frac{3}{6}+\frac{1}{4}
7. 23×2534\frac{2}{3} \times \frac{25}{34}
2. (34+75)910\left(\frac{3}{4}+\frac{7}{5}\right)-\frac{9}{10}
8. 25×76×103\frac{2}{5} \times \frac{7}{6} \times \frac{10}{3}
3. 1213×34\frac{12}{13} \times \frac{3}{4}
9. 920+1710+21100\frac{9}{20}+\frac{17}{10}+\frac{21}{100}
4. 13×15\frac{1}{3} \times \frac{1}{5}
10. 953614\frac{9}{5}-\frac{3}{6}-\frac{1}{4}
5. (75÷68)+410\left(\frac{7}{5} \div \frac{6}{8}\right)+\frac{4}{10}
11. 5619÷2638\frac{56}{19} \div \frac{26}{38}
6. (78+94)+311\left(\frac{7}{8}+\frac{9}{4}\right)+\frac{3}{11}
12. 910÷110\frac{9}{10} \div \frac{1}{10}

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Problem 2494

3. (i) 7(x2)=2(2x4)7(x-2)=2(2 x-4)

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Problem 2495

4) Determine the exact value for each: a) cos27π6sin211π2\cos ^{2} \frac{7 \pi}{6}-\sin ^{2} \frac{11 \pi}{2} b) 2csc211π62-\csc ^{2} \frac{11 \pi}{6}

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Problem 2496

The loudness, LL, measured in decibels (Db), of a sound intensity, II, measured in watts per square meter, is defined as L=10log1i0L=10 \log \frac{1}{i_{0}}, where ρ0=1012\rho_{0}=10^{-12} and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10110^{-1} ? 2 Db 22 Db 60 Db 110 Db

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Problem 2497

Write two numbers that multiply to the value on top and add to the value on bottom. Answer Attempt 1 out of 2

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Problem 2498

Find the derivative of the function f(x)=x5 f(x) = x^5 .

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Problem 2499

What is the length of the line segment with endpoints (11,4)(11,-4) and (12,4)?(-12,-4) ?
Enter your answer in the box. \square units

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Problem 2500

Question
Find the slope of a line perpendicular to the line whose equation is 6x+y=86 x+y=8. Fully simplify your answace

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