Numbers & Operations

Problem 3401

Calculate $168:(17-24) \times(-13+15)$ .

See Solution

Problem 3402

Compare the $15^{\text {th }}$ term of the arithmetic sequence $150,650,1150,1650,...$ and geometric sequence $4,12,36,108,...$ . Show your work.

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Problem 3403

Calculate $168:(17-24) \times(-19+15)$ .

See Solution

Problem 3404

John rents a bike from Company A for $x$ hours, paying \ $218. Find$ x$. Would Company B be cheaper? Explain.

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Problem 3405

John rents a bike from Company A for $x$ hours and pays \ $218. Find$ x$ if the basic charge is \$128 for 6 hours and extra is \$30 for 30 mins.

See Solution

Problem 3406

Compare the $15^{\text{th}}$ term of the sequences: Arithmetic: $150, 650, 1150, \ldots$ and Geometric: $4, 12, 36, \ldots$ .

See Solution

Problem 3407

Find the 6th and 7th terms of the sequence $7n-5$ ; also, find the sum of the 100th and 200th terms. Is 99 a term?

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Problem 3408

Find the zeroes of $y=x^{2}-4x-2$ in simplest form. Why can't you use factoring here? $4 \pm \sqrt{4-4(1)(-2)}$

See Solution

Problem 3409

Calculate $24 \times \left( 240 \div ((-36 + 40) \times (-23 + 17)) \right)$ .

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Problem 3410

Solve for $x$ : $2x + 7 = 5$ .

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Problem 3411

Find the 10th term of the sequence $n^2$ and the $n$ where $2n^2 - 16 = n^2$ .

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Problem 3412

Calculate $360 \div (15 + ((27 - 32) \times (-9 + 16)))$ .

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Problem 3413

Calculate $420 \div (-7) + 70 - 30 \times (-8) + 15$ .

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Problem 3414

Calculate the expression: $420 i(-7) + 70 - 30 \times (-8) + 15$ .

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Problem 3415

Let $A$ be a $3 \times 3$ matrix. Discuss if $A$ is diagonalizable and find $T$ such that $T^{-1} A T$ is diagonal.

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Problem 3416

Una señora gastó $\frac{1}{4}$ de su dinero en el supermercado y $\frac{2}{3}$ en la peluquería, le quedaron \$ 15. ¿Cuánto tenía?

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Problem 3417

Simplify the expression: $2 \sqrt{3 x-1}-2 \sqrt{3 x-1}$ .

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Problem 3418

Differentiate the function: $y = \sqrt{\frac{\sqrt{x}+\frac{1}{\sqrt{x}}}{\sqrt{x}-\frac{1}{\sqrt{x}}}}$

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Problem 3419

Solve $y^{\frac{3}{2}}=\frac{8}{x}$ for y as a function of x.

See Solution

Problem 3420

Find the square of the expression: $(2-\sqrt{3 x-1})^2$ .

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Problem 3421

Karen has two job offers: one at \$61,200/year and another at \$2,000/month plus 2% on \$120,000 sales. Find her monthly pay and sales needed to compare jobs.

See Solution

Problem 3422

Une piscine rectangulaire de 10m x 15m a une bande de gazon de $x$ m. Montre que la clôture mesure $50 + 8x$ .

See Solution

Problem 3423

Karen has two job offers: one for \$61,200/year and another for \$2,000/month + 2% on sales. What is her monthly pay if sales are \$120,000?

See Solution

Problem 3424

Soit $n$ un entier. a) Trouve l'entier précédent $n$ . b) Trouve l'entier suivant $n$ . Prouve que la somme de 3 entiers consécutifs est un multiple de 3.

See Solution

Problem 3425

Find the derivative of $2^{x+2} + 3^{y+1} = 18$ with respect to $x$ .

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Problem 3426

Convert $8^{2}+8^{1}+1$ to base two and choose the correct answer: A) $100001_{2}$ B) $101001_{2}$ C) $1001001_{2}$ D) $1010001_{2}$ .

See Solution

Problem 3427

Convert the base 5 number $534,-421_{5}$ to decimal. What is the result? A) 53 B) 61 C) 63 D) 71

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Problem 3428

Find the difference between -2 and 3. What is the difference between timelines for $B C$ and $A D$ vs. a number line? How many years are between $2 \mathrm{BC}$ and $3 \mathrm{AD}$ ? Give another real-life example similar to (ii) but not like (i).

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Problem 3429

In a class of 30 students, 12 play basketball, 13 play baseball, and 10 play both. Find the probability a student plays either sport.

See Solution

Problem 3430

What is the probability of landing on a number that is a multiple of 2 and 3 when spinning a 14-section spinner?

See Solution

Problem 3431

Evaluate the integral: $\int x^{3}\left(4+x^{2}\right)^{\frac{3}{2}} d x$

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Problem 3432

In a class of 30 students, 15 play basketball, 16 play baseball, and 7 play both. Find the probability a student plays either sport.

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Problem 3433

Find the probability that a randomly chosen student from a class of 20 plays basketball or baseball, given 5 play basketball, 6 play baseball, and 2 play both.

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Problem 3434

Find the degree of the polynomial $8 y^{3}-9 y^{2}+8$ .

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Problem 3435

Determine the degree of the polynomial $4x^{2}-7x+4$ .

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Problem 3436

What is the probability that all three marbles drawn from a bag of 5 red, 8 blue, and 4 green are blue?

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Problem 3437

Arrange the polynomial $9 x^{2} + 8 - 2 x^{3}$ in ascending order of the powers of $x$ .

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Problem 3438

Rearrange the equation $5 p^{2}+2 p-3$ in order of increasing powers of $p$ .

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Problem 3439

What is the probability that all three drawn marbles are blue from a bag with 8 red, 6 blue, and 3 green marbles?

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Problem 3440

Add the polynomials: $3p - 4q + 4r$ , $2p + 3q - 8r$ , and $q - 6p + r$ .

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Problem 3441

Calculate the expression: $5 - (-2) + 15 - 20 - (-18)$ . What is the result?

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Problem 3442

Convert $5 \mathrm{~kg}$ to grams, find packets of $125 \mathrm{~g}$ in $10 \mathrm{~kg}$ rice, verify $105 \mathrm{~km}$ trip, and calculate speed. Use $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ .

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Problem 3443

What was the cost of a good excluding 15\% VAT if the total cost is 900 dinars?

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Problem 3444

Find the time $t$ when the total revenue $TR = 5 e^{-0.15t}$ equals 2 million dollars.

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Problem 3445

Find eigenvalues, eigenvectors, and diagonalizing matrix $S$ for $A=\begin{pmatrix} 1 & 0 \\ 2 & 3 \end{pmatrix}$ and $B=\begin{pmatrix} 7 & 2 \\ -15 & -4 \end{pmatrix}$ .

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Problem 3446

Find $t$ when the GNP reaches 96 billion, given $GNP = 80 e^{0.02t}$ .

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Problem 3447

Determine if child C inherits in these will clauses: 1. "to A, B, and any expected children." 2. "to living children." 3. "to my children." 4. "to A and B."

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Problem 3448

Calculate $\frac{1}{2} \times \frac{1}{7}$ .

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Problem 3449

The equation $\frac{3}{5}=\frac{1}{90}$ is incorrect. Identify the mistake in this statement.

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Problem 3450

What is the probability of a death being from an automobile accident given 56 out of 1,283 deaths? Calculate: $\frac{56}{1283}$ .

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Problem 3451

Solve for $x$ in the equation $\frac{3}{5}=\frac{x}{90}$ .

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Problem 3452

What is the probability that a top executive reads Time or U.S. News given $P(T) = 0.35$ , $P(U) = 0.36$ , and $P(T \cap U) = 0.12$ ?

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Problem 3453

What is the probability that the first person selected is in management or supervision from a group of 2270 employees?

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Problem 3454

What is the probability of a death being due to an automobile accident from 1,283 total deaths: $56 / 1,283$ ?

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Problem 3455

A company has 125 employees with the following absence probabilities: $0$ days (0.60), $1$ day (0.20), $2$ days (0.12), $3$ days (0.04), $4$ days (0.04), $5$ days (0.00). Find the mean days absent.

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Problem 3456

Find the quotient of $\frac{2}{8} \times 50$ divided by $\frac{3}{4} \times \frac{10}{18}$ . Simplify if possible.

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Problem 3457

An airplane with 60 passengers is $\frac{6}{7}$ full. What is its total capacity?

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Problem 3458

Calculate the daily consumer surplus with the demand equation $p=-0.4 \cdot q+119$ and price at \$ 3.

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Problem 3459

Alice needs 18 buttons and Mary needs 20. Find the LCM of 18 and 20 to get the smallest packet size. Justify your choice.

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Problem 3460

Find the producer surplus for selling an item at $\$ 15$ with the demand equation $q=6.1 \cdot(p-2)$ .

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Problem 3461

Sketch the curves $y=x^{2}+x$ and $y=-2 \cdot x^{2}+4$ from $x=0$ to $x=2$ . Find the area between them using integrals.

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Problem 3462

Find the actual area of a closet with dimensions $4.4 \mathrm{~cm}$ by $3.2 \mathrm{~cm}$ at a scale of $2 \mathrm{~cm}$ to $1 \mathrm{~m}$ .

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Problem 3463

Find the dimensions of a scaled exercise mat if the actual area is $144 \mathrm{~m}^{2}$ and the scale is $8 \mathrm{~m}$ for every $2 \mathrm{in}$ .

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Problem 3464

En la secuencia, cada número es la suma de los dos anteriores. ¿Cuál es el valor de $x$ en la fila? 10, 16, 28, 26, 149.

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Problem 3465

A tank is $\frac{2}{3}$ full at 2400 litres. Verify capacity, find litres to fill, percentage needed, and half-full volume. Also, correct misconceptions in calculations. Calculate Rashid's discount on a hockey stick from R250 to R187.50.

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Problem 3466

Bob dio $\frac{1}{10}$ de sus lápices a Bárbara y $\frac{8}{9}$ de los restantes a Bonnie. Si le quedan 100, ¿cuántos tenía al inicio?

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Problem 3467

Calculate: $\frac{3}{4} - \frac{5}{2} \cdot \frac{2}{3} + 3 - \frac{1/2}{2 + \frac{1}{3 - 2/3}}$

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Problem 3468

Find the sum of the series: $1 + 2 + 3 + \ldots + 304$ .

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Problem 3469

Should this fraction round to 1 or 0 ? $\frac{1}{3}$

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Problem 3470

Calcola sul quaderno il valore delle espressioni aritmetiche con le parentesi. $\text { a. } \begin{array}{l} 8+\{13+[2+(9 \times 5)+(6 \times 4)+100]-8\}=r 184 \\ \{3 \times[70-15+(20 \times 3)+(40 \times 2)-10]\} \times 2=r 1410 \\ \{600-[13+(180: 2)-(90: 2)]\}: 2=r 271 \\ 1+\{1000-[60+(300: 3)+(450: 9)]+1\}=r 792 \end{array}$ b. $300-\{300-[30 \times(30: 3)]\}=r 300$ $\begin{array}{l} \{[(40 \times 3)+(50 \times 3)-70]+900\}: 2=r 550 \\ 48-\{[(50: 25)+7+11]: 10\}=r 46 \\ 74-81:[46-(5 \times 6)-7]+25: 5=r 70 \end{array}$ MATEMATICA OBIETTIVI DI APPRENDIMENTO Risolvere espressioni

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Problem 3471

Evaluate the factorial expression. $\frac{13!}{11!}$ $\frac{13!}{11!}=$ $\square$ (Simplify your answer.)

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Problem 3472

Add: $(9-20 i)+(3+8 i)$ sum =

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Problem 3473

2. $7-(-5.4)=$

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Problem 3474

F. Ricky Luciano's credit card statement showed a previous balance of $\$ 166.98$ , purchases and fees of $\$ 201.88$ , and payments and credits of $\$ 75$ . If his card carried an APR of $21 \%$ and used the adjusted balance method with a monthly periodic rate to calculate finance charges, what is Ricky's finance charge and new balance? a $\$ 1.61 ; \$ 295.47$ b $\$ 1.61 ; \$ 395.47$ c $\$ 1.41 ; \$ 278.78$ d $\$ 2.83 ; \$ 295.47$

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Problem 3475

2. Which of the following sets does not contain any irrational numbers? a. $\{-5.12, \pi, 30\}$ c. $\left\{\frac{q}{2}, \sqrt{100}, 5.123\right\}$ b. $\{\sqrt{80}, 100,6.56\}$ d. $\left\{5.123 \ldots, \frac{1}{2},-65\right\}$

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Problem 3476

2 Calculer la valeur absolue de chacun des nombres suivants : $1^{\circ} a=\sqrt{3}-2$ $5^{\circ} e=(-1)^{13}$ $2^{\circ} b=1-\sqrt{3}$ $3^{\circ} c=\sqrt{17}-4$ $6^{\circ} f=10^{-4}$ $4^{\circ} \quad d=\pi-3,25$ $7^{\circ} g=4+2 x^{2}$ $8^{\circ} h=(1+x)^{2}$ .

See Solution

Problem 3477

Simplify $\frac{15}{20}$ $\square$

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Problem 3478

Complete the additions. Give your answers as improper fractions and mixed numbers. a) $\frac{4}{5}+\frac{5}{4}=$ $\square$ c) $\frac{9}{8}+\frac{8}{9}=$ $\square$ $\square$ b) $\frac{2}{3}+\frac{3}{2}=$ $\square$ d) $\text { d) } \square=\frac{5}{3}+\frac{3}{5}$

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Problem 3479

sermeg 1 2974 DresmBax RAZ: ABC What are the brows Dashboard Studio Start page DreamBox Leaming. Xtra Math - Student. Allibooknatika M4|LB Percent Increase and Decrease with Equations Sign out
Daniel had $\$ 50$ in his savings account in May. He continued to add money to his account and by October, the value of the savings account had increased by $20 \%$ . How much money is in Daniel's account in October? (1) $\square$ Enter

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Problem 3480

8 Complete the additions. $\frac{1}{2}+\frac{1}{3}=\frac{5}{6} \quad \frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{13}{12} \quad \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{17}{60}$
When does this pattern first give an answer greater than 2?
Do you think the pattern will ever give an answer greater than 100 ?

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Problem 3481

Oscar wants to eat $1 \frac{1}{2}$ cups of rice each day for the next 4 days.
How much rice will Oscar need in total? $\frac{4}{2}$ of a cup 2 cup $\frac{16}{2}$ cups 6 cups

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Problem 3482

Consider the following iteration statement: ``` int own = 1; int lcv = 10; while ( lcv >= 0) { own+=2; lcv--; ``` }
What is the value of own after the for loop terminates? $o w n=23$ own =11 $o w n=21$

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Problem 3483

$a-a$

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Problem 3484

Which of the following numbers are prime? Select ALL that apply.
2 6 21 9 1 11

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Problem 3485

4) $\sqrt{512 m^{3}}$

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Problem 3486

(
3. It is estimated that $58 \%$ of students attended a pep rally before school. What decimal equivalent to $58 \%$ ?
Enter your answer in the space provided. $\square$
Clear All

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Problem 3487

$-\frac{7}{19}+\left(-\frac{3}{19}\right)$

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Problem 3488

1. Calculate the electrostatic potential energy between two sodium ions ( $\mathrm{Na}^{+}$ ) separated by 0.5 nm . Given that the atomic number of sodium is $\mathrm{Z}=11, \frac{1}{4 \pi \varepsilon_{0}}=$ $9 x 10^{9} \mathrm{Nm}^{2} / \mathrm{C}$ and the charge on an electron is $1.6 \times 10^{-19} \mathrm{C}$ .

See Solution

Problem 3489

Multiply. Show Your Work. $15.05 \times 41=$

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Problem 3490

Althea has $\$ 100$ . She divides it evenly among her 4 children. Her oldest child, Raul, spends $\$ 15$ of the amount he receives. How much money does Raul have left after he spends $\$ 15$ ?
Which statements about this word problem are true? Check all that apply. This is an example of a part-whole problem. This is an example of a comparison problem. Addition then multiplication can be used to solve the problem. Division then subtraction can be used to solve the problem. Division then multiplication can be used to solve the problem.

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Problem 3491

$\frac{3}{5}-0.4$

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Problem 3492

Find three-fourths of twelve.

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Problem 3493

5)286

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Problem 3494

Provincial Park. The store sells a case of 12 bottles of water for $\$ 8.50$ and individual bottles of the same brand of water for $\$ 1.55$ . cosd 12 ladstes $=12 \times \$ 155=$ a) Approximately how much does each bottle of water in the case of 12 cost? (2) $=18.60$ b) How much would a customer save by buying a case of water, rather than 12 individual bottles? (2)

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Problem 3495

8 Një copë djathi e ka masën 1 kg . Nga ai janë ndarë 4 copa me masa: $80 \mathrm{~g}, 105 \mathrm{~g}, 65 \mathrm{~g}$ dhe 110 g . Gjeni sa gramë djathë ka mbetur. $\qquad$ $\qquad$ $\qquad$

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Problem 3496

Gary has a \ $100 gift card. He decides to purchase songs online. Each song will cost \$3. How much money will he have left if he buys as many songs as he can with the gift card? \$$ \qquad$

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Problem 3497

Does the quotient have a remainder? Choose Yes or No. \begin{tabular}{|l|l|l|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & Yes & No \\ \hline $1,000 \div 60$ & & \\ \hline $5,000 \div 20$ & & \\ \hline $9,495 \div 15$ & & \\ \hline $7,005 \div 25$ & & \\ \hline \end{tabular}

See Solution

Problem 3498

Original Price \$2,600
SALE 5\% OFF
USE $A$ What is the sale price?

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Problem 3499

Which pair of numbers has an LCM of 18? 2 and 6 2 and 9 3 and 6 3 and 9 Multiples of $2: 2,4,6,8,10,12,14,16,18,20$ Multiples of 6: 6, 12, 18, 24, 30, 36, 42
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Multiples of 9: 9, 18, 27, 36, 45, 54, 63
Multiples of $3: 3,6,9,12,15,18,21,24$ Multiples of 6: 6, 12, 18, 24, 30, 36, 42
Multiples of $3: 3,6,9,12,15,18,21,24$ Multiples of 9: 9, 18, 27, 36, 45, 54, 63

See Solution

Problem 3500

$E=\left(6.626 \times 10^{-34} \mathrm{~J} 5\right)\left(6.165 \times 10^{14} \mathrm{~Hz}\right)$

See Solution

1 ...32 33 34 35 36 37 38 ...118

Numbers & Operations

Problem 3401

Calculate 168:(17−24)×(−13+15)168:(17-24) \times(-13+15)168:(17−24)×(−13+15).

Problem 3402

Compare the 15th 15^{\text {th }}15th term of the arithmetic sequence 150,650,1150,1650,...150,650,1150,1650,...150,650,1150,1650,... and geometric sequence 4,12,36,108,...4,12,36,108,...4,12,36,108,.... Show your work.

Problem 3403

Calculate 168:(17−24)×(−19+15)168:(17-24) \times(-19+15)168:(17−24)×(−19+15).

Problem 3404

John rents a bike from Company A for xxx hours, paying \218.Find218. Find 218.Findx$. Would Company B be cheaper? Explain.

Problem 3405

John rents a bike from Company A for xxx hours and pays \218.Find218. Find 218.Findx$ if the basic charge is \$128 for 6 hours and extra is \$30 for 30 mins.

Problem 3406

Compare the 15th15^{\text{th}}15th term of the sequences: Arithmetic: 150,650,1150,…150, 650, 1150, \ldots150,650,1150,… and Geometric: 4,12,36,…4, 12, 36, \ldots4,12,36,….

Problem 3407

Find the 6th and 7th terms of the sequence 7n−57n-57n−5; also, find the sum of the 100th and 200th terms. Is 99 a term?

Problem 3408

Find the zeroes of y=x2−4x−2y=x^{2}-4x-2y=x2−4x−2 in simplest form. Why can't you use factoring here? 4±4−4(1)(−2)4 \pm \sqrt{4-4(1)(-2)}4±4−4(1)(−2)​

Problem 3409

Calculate 24×(240÷((−36+40)×(−23+17)))24 \times \left( 240 \div ((-36 + 40) \times (-23 + 17)) \right)24×(240÷((−36+40)×(−23+17))).

Problem 3410

Solve for xxx: 2x+7=52x + 7 = 52x+7=5.

Problem 3411

Find the 10th term of the sequence n2n^2n2 and the nnn where 2n2−16=n22n^2 - 16 = n^22n2−16=n2.

Problem 3412

Calculate 360÷(15+((27−32)×(−9+16)))360 \div (15 + ((27 - 32) \times (-9 + 16)))360÷(15+((27−32)×(−9+16))).

Problem 3413

Calculate 420÷(−7)+70−30×(−8)+15420 \div (-7) + 70 - 30 \times (-8) + 15420÷(−7)+70−30×(−8)+15.

Problem 3414

Calculate the expression: 420i(−7)+70−30×(−8)+15420 i(-7) + 70 - 30 \times (-8) + 15420i(−7)+70−30×(−8)+15.

Problem 3415

Let AAA be a 3×33 \times 33×3 matrix. Discuss if AAA is diagonalizable and find TTT such that T−1ATT^{-1} A TT−1AT is diagonal.

Problem 3416

Una señora gastó 14\frac{1}{4}41​ de su dinero en el supermercado y 23\frac{2}{3}32​ en la peluquería, le quedaron \$ 15. ¿Cuánto tenía?

Problem 3417

Simplify the expression: 23x−1−23x−12 \sqrt{3 x-1}-2 \sqrt{3 x-1}23x−1​−23x−1​.

Problem 3418

Differentiate the function: y=x+1xx−1xy = \sqrt{\frac{\sqrt{x}+\frac{1}{\sqrt{x}}}{\sqrt{x}-\frac{1}{\sqrt{x}}}}y=x​−x​1​x​+x​1​​​

Problem 3419

Solve y32=8xy^{\frac{3}{2}}=\frac{8}{x}y23​=x8​ for y as a function of x.

Problem 3420

Find the square of the expression: (2−3x−1)2(2-\sqrt{3 x-1})^2(2−3x−1​)2.

Problem 3421

Karen has two job offers: one at \$61,200/year and another at \$2,000/month plus 2% on \$120,000 sales. Find her monthly pay and sales needed to compare jobs.

Problem 3422

Une piscine rectangulaire de 10m x 15m a une bande de gazon de xxx m. Montre que la clôture mesure 50+8x50 + 8x50+8x.

Problem 3423

Karen has two job offers: one for \$61,200/year and another for \$2,000/month + 2% on sales. What is her monthly pay if sales are \$120,000?

Problem 3424

Soit nnn un entier. a) Trouve l'entier précédent nnn. b) Trouve l'entier suivant nnn. Prouve que la somme de 3 entiers consécutifs est un multiple de 3.

Problem 3425

Find the derivative of 2x+2+3y+1=182^{x+2} + 3^{y+1} = 182x+2+3y+1=18 with respect to xxx.

Problem 3426

Convert 82+81+18^{2}+8^{1}+182+81+1 to base two and choose the correct answer: A) 1000012100001_{2}1000012​ B) 1010012101001_{2}1010012​ C) 100100121001001_{2}10010012​ D) 101000121010001_{2}10100012​.

Problem 3427

Convert the base 5 number 534,−4215534,-421_{5}534,−4215​ to decimal. What is the result? A) 53 B) 61 C) 63 D) 71

Problem 3428

Find the difference between -2 and 3. What is the difference between timelines for BCB CBC and ADA DAD vs. a number line? How many years are between 2BC2 \mathrm{BC}2BC and 3AD3 \mathrm{AD}3AD? Give another real-life example similar to (ii) but not like (i).

Problem 3429

In a class of 30 students, 12 play basketball, 13 play baseball, and 10 play both. Find the probability a student plays either sport.

Problem 3430

What is the probability of landing on a number that is a multiple of 2 and 3 when spinning a 14-section spinner?

Problem 3431

Evaluate the integral: ∫x3(4+x2)32dx\int x^{3}\left(4+x^{2}\right)^{\frac{3}{2}} d x∫x3(4+x2)23​dx

Problem 3432

In a class of 30 students, 15 play basketball, 16 play baseball, and 7 play both. Find the probability a student plays either sport.

Problem 3433

Find the probability that a randomly chosen student from a class of 20 plays basketball or baseball, given 5 play basketball, 6 play baseball, and 2 play both.

Problem 3434

Find the degree of the polynomial 8y3−9y2+88 y^{3}-9 y^{2}+88y3−9y2+8.

Problem 3435

Determine the degree of the polynomial 4x2−7x+44x^{2}-7x+44x2−7x+4.

Problem 3436

What is the probability that all three marbles drawn from a bag of 5 red, 8 blue, and 4 green are blue?

Problem 3437

Arrange the polynomial 9x2+8−2x39 x^{2} + 8 - 2 x^{3}9x2+8−2x3 in ascending order of the powers of xxx.

Problem 3438

Rearrange the equation 5p2+2p−35 p^{2}+2 p-35p2+2p−3 in order of increasing powers of ppp.

Problem 3439

What is the probability that all three drawn marbles are blue from a bag with 8 red, 6 blue, and 3 green marbles?

Problem 3440

Calculate $168:(17-24) \times(-13+15)$ .

Compare the $15^{\text {th }}$ term of the arithmetic sequence $150,650,1150,1650,...$ and geometric sequence $4,12,36,108,...$ . Show your work.

Calculate $168:(17-24) \times(-19+15)$ .

John rents a bike from Company A for $x$ hours, paying \ $218. Find$ x$. Would Company B be cheaper? Explain.

John rents a bike from Company A for $x$ hours and pays \ $218. Find$ x$ if the basic charge is \$128 for 6 hours and extra is \$30 for 30 mins.

Compare the $15^{\text{th}}$ term of the sequences: Arithmetic: $150, 650, 1150, \ldots$ and Geometric: $4, 12, 36, \ldots$ .

Find the 6th and 7th terms of the sequence $7n-5$ ; also, find the sum of the 100th and 200th terms. Is 99 a term?

Find the zeroes of $y=x^{2}-4x-2$ in simplest form. Why can't you use factoring here? $4 \pm \sqrt{4-4(1)(-2)}$

Calculate $24 \times \left( 240 \div ((-36 + 40) \times (-23 + 17)) \right)$ .

Solve for $x$ : $2x + 7 = 5$ .

Find the 10th term of the sequence $n^2$ and the $n$ where $2n^2 - 16 = n^2$ .

Calculate $360 \div (15 + ((27 - 32) \times (-9 + 16)))$ .

Calculate $420 \div (-7) + 70 - 30 \times (-8) + 15$ .

Calculate the expression: $420 i(-7) + 70 - 30 \times (-8) + 15$ .

Let $A$ be a $3 \times 3$ matrix. Discuss if $A$ is diagonalizable and find $T$ such that $T^{-1} A T$ is diagonal.

Una señora gastó $\frac{1}{4}$ de su dinero en el supermercado y $\frac{2}{3}$ en la peluquería, le quedaron \$ 15. ¿Cuánto tenía?

Simplify the expression: $2 \sqrt{3 x-1}-2 \sqrt{3 x-1}$ .

Differentiate the function: $y = \sqrt{\frac{\sqrt{x}+\frac{1}{\sqrt{x}}}{\sqrt{x}-\frac{1}{\sqrt{x}}}}$

Solve $y^{\frac{3}{2}}=\frac{8}{x}$ for y as a function of x.

Find the square of the expression: $(2-\sqrt{3 x-1})^2$ .

Une piscine rectangulaire de 10m x 15m a une bande de gazon de $x$ m. Montre que la clôture mesure $50 + 8x$ .

Soit $n$ un entier. a) Trouve l'entier précédent $n$ . b) Trouve l'entier suivant $n$ . Prouve que la somme de 3 entiers consécutifs est un multiple de 3.

Find the derivative of $2^{x+2} + 3^{y+1} = 18$ with respect to $x$ .

Convert $8^{2}+8^{1}+1$ to base two and choose the correct answer: A) $100001_{2}$ B) $101001_{2}$ C) $1001001_{2}$ D) $1010001_{2}$ .

Convert the base 5 number $534,-421_{5}$ to decimal. What is the result? A) 53 B) 61 C) 63 D) 71

Find the difference between -2 and 3. What is the difference between timelines for $B C$ and $A D$ vs. a number line? How many years are between $2 \mathrm{BC}$ and $3 \mathrm{AD}$ ? Give another real-life example similar to (ii) but not like (i).

Evaluate the integral: $\int x^{3}\left(4+x^{2}\right)^{\frac{3}{2}} d x$

Find the degree of the polynomial $8 y^{3}-9 y^{2}+8$ .

Determine the degree of the polynomial $4x^{2}-7x+4$ .

Arrange the polynomial $9 x^{2} + 8 - 2 x^{3}$ in ascending order of the powers of $x$ .

Rearrange the equation $5 p^{2}+2 p-3$ in order of increasing powers of $p$ .

Add the polynomials: $3p - 4q + 4r$ , $2p + 3q - 8r$ , and $q - 6p + r$ .

Calculate the expression: $5 - (-2) + 15 - 20 - (-18)$ . What is the result?

Convert $5 \mathrm{~kg}$ to grams, find packets of $125 \mathrm{~g}$ in $10 \mathrm{~kg}$ rice, verify $105 \mathrm{~km}$ trip, and calculate speed. Use $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ .

Find the time $t$ when the total revenue $TR = 5 e^{-0.15t}$ equals 2 million dollars.

Find eigenvalues, eigenvectors, and diagonalizing matrix $S$ for $A=\begin{pmatrix} 1 & 0 \\ 2 & 3 \end{pmatrix}$ and $B=\begin{pmatrix} 7 & 2 \\ -15 & -4 \end{pmatrix}$ .

Find $t$ when the GNP reaches 96 billion, given $GNP = 80 e^{0.02t}$ .

Calculate $\frac{1}{2} \times \frac{1}{7}$ .

The equation $\frac{3}{5}=\frac{1}{90}$ is incorrect. Identify the mistake in this statement.

What is the probability of a death being from an automobile accident given 56 out of 1,283 deaths? Calculate: $\frac{56}{1283}$ .

Solve for $x$ in the equation $\frac{3}{5}=\frac{x}{90}$ .

What is the probability that a top executive reads Time or U.S. News given $P(T) = 0.35$ , $P(U) = 0.36$ , and $P(T \cap U) = 0.12$ ?

What is the probability of a death being due to an automobile accident from 1,283 total deaths: $56 / 1,283$ ?

A company has 125 employees with the following absence probabilities: $0$ days (0.60), $1$ day (0.20), $2$ days (0.12), $3$ days (0.04), $4$ days (0.04), $5$ days (0.00). Find the mean days absent.

Find the quotient of $\frac{2}{8} \times 50$ divided by $\frac{3}{4} \times \frac{10}{18}$ . Simplify if possible.

An airplane with 60 passengers is $\frac{6}{7}$ full. What is its total capacity?

Calculate the daily consumer surplus with the demand equation $p=-0.4 \cdot q+119$ and price at \$ 3.

Find the producer surplus for selling an item at $\$ 15$ with the demand equation $q=6.1 \cdot(p-2)$ .

Sketch the curves $y=x^{2}+x$ and $y=-2 \cdot x^{2}+4$ from $x=0$ to $x=2$ . Find the area between them using integrals.

Find the actual area of a closet with dimensions $4.4 \mathrm{~cm}$ by $3.2 \mathrm{~cm}$ at a scale of $2 \mathrm{~cm}$ to $1 \mathrm{~m}$ .

Find the dimensions of a scaled exercise mat if the actual area is $144 \mathrm{~m}^{2}$ and the scale is $8 \mathrm{~m}$ for every $2 \mathrm{in}$ .

En la secuencia, cada número es la suma de los dos anteriores. ¿Cuál es el valor de $x$ en la fila? 10, 16, 28, 26, 149.

A tank is $\frac{2}{3}$ full at 2400 litres. Verify capacity, find litres to fill, percentage needed, and half-full volume. Also, correct misconceptions in calculations. Calculate Rashid's discount on a hockey stick from R250 to R187.50.

Bob dio $\frac{1}{10}$ de sus lápices a Bárbara y $\frac{8}{9}$ de los restantes a Bonnie. Si le quedan 100, ¿cuántos tenía al inicio?

Calculate: $\frac{3}{4} - \frac{5}{2} \cdot \frac{2}{3} + 3 - \frac{1/2}{2 + \frac{1}{3 - 2/3}}$

Find the sum of the series: $1 + 2 + 3 + \ldots + 304$ .

Should this fraction round to 1 or 0 ? $\frac{1}{3}$

Evaluate the factorial expression. $\frac{13!}{11!}$ $\frac{13!}{11!}=$ $\square$ (Simplify your answer.)

Add: $(9-20 i)+(3+8 i)$ sum =

2. $7-(-5.4)=$