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Problem 30401

Find prices $p_{1}$ and $p_{2}$ for Ultra Mini and Big Stack such that $q_{1}=0$ and $q_{2}=0$ using given demand functions.

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Problem 30402

Solve the inequality $\frac{2 x+5}{4}>\frac{x-2}{3}+2$ and express the solution in interval notation.

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Problem 30403

A motorist traveled from Town A to B, averaging $54 \mathrm{~km/h}$ . If the first $\frac{1}{3}$ was at $45 \mathrm{~km/h}$ and he traveled 480 km after, find the speed for the last $\frac{2}{3}$ .

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Problem 30404

Find the sums, differences, products, and quotients of the following functions:
1. $f(x)=3x+4, g(x)=2x-1$
2. $f(x)=2x-5, g(x)=4x^2$
3. $f(x)=x-4, g(x)=\sqrt{x}$

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Problem 30405

Sierra buys $3 \frac{1}{2}$ Lbs of bananas, $1 \frac{3}{4}$ Lbs of blueberries, and 2 Lbs of raspberries at \$0.80/Lb. Total cost?

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Problem 30406

Given matrix $A$ and vectors $u$ and $v$ , find $T(u)$ and $T(v)$ where $T(x) = A x$ .

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Problem 30407

Find $f^{\prime}(-4)$ for $f(x)=4 x^{2}-3 x$ using the difference quotient and limit as $h \rightarrow 0$ .

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Problem 30408

Round the sum of $5.63 + 2.15 + 16.39$ to the nearest integer.

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Problem 30409

Raul works 2h/day, Mon-Fri, and 8h on Sat at \$2 more/hour. He earns \$142/week. Find his weekday hourly rate.

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Problem 30410

Find $(f \circ g)(x)$ , $(g \circ f)(x)$ , and $(f \circ g)(3)$ for $f(x)=2x$ , $g(x)=x+5$ .

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Problem 30411

Given the matrix $A$ and vectors $u$ and $v$ , find $T(u)$ and $T(v)$ where $T(x)=Ax$ . Simplify your answers.

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Problem 30412

Tanisa and her sister bought 5 pairs of shoes for a total of \$170, including \$15 shipping. Find the cost per pair.

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Problem 30413

Kayla drew a tangent line to $f(x)$ at $(10, f(10))$ with slope 2 and $y$ -intercept -1. Find $f(10)$ .

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Problem 30414

Solve for $x$ in the equation $5 x=9 x-16$ .

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Problem 30415

Find all $\mathbf{x}$ in $\mathbb{R}^{4}$ such that $A \mathbf{x} = \mathbf{0}$ for the matrix $A=\begin{bmatrix} 1 & 2 & 7 & -1 \\ 1 & 0 & 3 & -4 \\ 0 & 1 & 2 & 3 \\ -1 & 5 & 7 & 4 \end{bmatrix}$ . Choose A, B, C, or D.

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Problem 30416

Order these numbers from least to greatest. $-\sqrt{30}, 5.68,-5 . \overline{8},-\frac{51}{9}$
Note that for this question you can use your mouse to drag the numbers into their positions. $\begin{array}{lc} -\sqrt{30} & -\frac{51}{9} \\ \square & -5 . \overline{8} \\ \hline \end{array}$ $\square$

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Problem 30417

Solve the inequality for $y$ . $-2-\frac{2}{5} y \geq-18$
Simplify your answer as much as possible.

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Problem 30418

Solve the inequality for $x$ . $\frac{1}{4} x+8 \leq 17$
Simplify your answer as much as possible.

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Problem 30419

Solve the inequality for $w$ . $13-\frac{8}{3} w>19$
Simplify your answer as much as possible.

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Problem 30420

Classify each number below as a rational number or an irrational number. \begin{tabular}{|c|c|c|} \hline & rational & Irrational \\ \hline $-74 . \overline{80}$ & 0 & 0 \\ \hline $\frac{8}{3}$ & 0 & 0 \\ \hline $10 \pi$ & 0 & 0 \\ \hline $\sqrt{64}$ & 0 & 0 \\ \hline $-\sqrt{2}$ & 0 & 0 \\ \hline \end{tabular}

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Problem 30421

Classify each number below as a rational number or an irrational number. \begin{tabular}{|c|c|c|} \hline & rational & irrational \\ \hline $-56 . \overline{46}$ & 0 & 0 \\ \hline $\frac{1}{2}$ & 0 & 0 \\ \hline $\sqrt{49}$ & 0 & 0 \\ \hline $8 \pi$ & 0 & 0 \\ \hline $-\sqrt{26}$ & 0 & 0 \\ \hline \end{tabular}

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Problem 30422

Exponents, Polynomials, and Radicals Converting between scientific notation and standard form in a real-world... Madely
Answer the following. (a) An astronomer's infrared telescope is able to detect radiation with a wavelength of $1.96 \times 10^{-5}$ meters. Write this number in standard notation. (b) The diameter of Pluto at its equator is approximately 2390 kilometers. Write this number in scientific notation. (a) $\square$ meters $\square$ $\times 10^{\circ}$ (b) $\square$ kilometers

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Problem 30423

Find the value of $x$ . a) the sum of interior quadrilateral is 360. $x=$ $\qquad$

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Problem 30424

(16) A $90 \%$ antifreeze solution is to be mixed with a $75 \%$ solution to make 120 liters of a $78 \%$ solution. How many liters of the $90 \%$ and $75 \%$ solutions will be used?

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Problem 30425

Graph the line. $y=2 x-6$ Explanation Check

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Problem 30426

↓ LaunchPad X NC Applications | Rapid identity A ALEKS-Madelyn Swift - Learn × + → C ㄖㄨ www-awy.aleks.com/alekscgi/x/1sl.exe/10_u-lgNslkr7j8P3jH-v-KZJxvdFe9CBW0Gbtpb560CWSdDRHsYrY6zNgB4kR5ernRsf2aQ_rCZFu2YQhBhWKvOX99JQsBduk... ⭑ All Bookmarks O Equations and Inequalities Solving a word problem using a two-step linear Inequality Madelyn V To rent a certain meeting room, a college charges a reservation fee of $14 and an additional fee of$ 6 per hour. The chemistry club wants to spend at most $68 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t. Español

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Problem 30427

Equations and irequalities Solving a word problem using a two-step unear inequallty Lucy wants to rent a boat and spend less than $\$ 43$ . The boat costs $\$ 8$ per hour, and Lucy has a discount coupon for $\$ 5$ off. What are the possible numbers of hours Lucy could rent the boat?
Use $t$ for the number of hours. Write your answer as an inequality solved for $t$ .

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Problem 30428

PRACTICE QUESTION 11 A 2.4 g sample of carbon is burnt in a calorimeter. Given that $\Delta \mathrm{H}^{\circ} \mathrm{f}$ for $\mathrm{CO}_{2}$ is $-394 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and the heat capacity of the calorimeter is $10 \mathrm{~kJ}^{\circ} \mathrm{C}^{-1}$ , calculate the temperature change of the calorimeter.
Answer

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Problem 30429

Question 1 (a) Rationalize the denominator and simplify $\frac{2 \sqrt{3}-1}{1-\sqrt{3}}+\frac{3 \sqrt{3}}{1+\sqrt{3}}$ . [5 marks] (b) If $w=4+7 i$ , express $w+\frac{1}{w}$ in the form $a+b i$ where $a$ and $b$ are real. [5 marks]
Question 2 Given that $f(x)=\sqrt{x+5}$ and $g(x)=\ln (x+5)$ . (i) Sketch the graph of $f(x)$ . (ii) State the domain and range of $f(x)$ . (iii) Find $f^{-1}(x)$ and $\left(g \circ f^{-1}\right)(x)$ . [10 marks] Question 3 (a) Given that the $5^{\text {th }}$ term of an arithmetic progression is 21 and its $10^{\text {th }}$ term is 41 , find (i) the common difference, $d$ and the first term, $a$ . (ii) the sum of first $20^{\text {th }}$ term. [7 marks] (b) Expand $(2-3 x)^{8}$ in ascending power of $x$ up to the term in $x^{3}$ . [3 marks]
Question 4 (a) Given that $\mathbf{A}=\left(\begin{array}{cc}2 & -1 \\ 3 & 2\end{array}\right)$ and $\mathbf{B}=\left(\begin{array}{ll}a & 1 \\ b & 1\end{array}\right)$ where $a$ and $b$ are real. Find the values of $a$ and $b$ such that $\mathbf{A B}=\mathbf{B A}$ . [6 marks] (b) If $\mathbf{P}=\left(\begin{array}{ll}3 & -2 \\ 4 & -3\end{array}\right)$ , show that the inverse matrix of $\mathbf{P}$ is also $\mathbf{P}$ . [4 marks]
Question 5 (a) Given the parametric equations $x=t^{3}-t$ and $y=t^{2}+t$ where $t>0$ .
Find $\frac{d y}{d x}$ in terms of $t$ . [5 marks] (b) Evaluate $\int x \sqrt{x^{2}-5} d x$ by using the substitution $u=x^{2}-5$ . [5 marks]

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Problem 30430

1) A rope is cut into three pieces $P, Q$ , and $R$ . The lengths of the pieces are in the ratio $3: 5: 7$ . If the rope is 33 feet 9 inches long, find the lengths of $P, Q$ , and $R$ .

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Problem 30431

Evaluate the integral. (Use C for the constant of integration.) $\int \frac{\ln (x)}{x^{2}} d x$

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Problem 30432

Point $C$ is the midpoint of $\overline{A B}$ and point $B$ is between points $A$ and $D$ . If $A D=17$ and $B D=9$ , what $C D=$

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Problem 30433

Before toothpaste was invented, people sometimes used calcium carbonate, $\mathrm{CaCO}_{3}(\mathrm{~s})$ , to clean their teeth. What mass of calcium carbonate can be precipitated by reacting 80.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of sodium carbonate, $\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{aq})$ , with 50.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of calcium chloride, $\mathrm{CaCl}_{2}(\mathrm{aq})$ ?

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Problem 30434

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. $\square$ width $=$ yards yards

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Problem 30435

$\begin{array}{l}\text { rem Complete the pattern: } \\ \begin{array}{l} 4 \times \square \\ 4 \times=4 \\ 4 \times \\ 4 \times=400 \\ 4 \times \\ 4 \times=4,000 \\ 4 \times=40,000 \\ 4 \times=400,000 \\ 4\end{array}\end{array}$

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Problem 30436

An that both A and B will occur is 0.1 .
8. The conditional probability of A , given B (a) is $1 / 2$ .
8. The conditional probability of A , given B (a) is $1 / 2$ . $\frac{20}{50} \cdot \frac{z^{19}}{50}=19 / 175$ $\frac{20}{50}$ 50 $=0$ ur is ility 0.5 . An event $B$ will occur with probability 0.6 . The probability $P(A)=.5 \quad P(B)=.6$ (b) is $3 / 10$ . (c) is $1 / 5$ . $P\left(P_{n} A\right)=$ (d) is $1 / 6$ . (1) cannot be determined from the information given. $P(A, B)=$

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Problem 30437

Score: 0/2 Penalty: none
Question Watch Video Show Examples
Use synthetic division to find the result when $x^{3}-7 x^{2}-28 x+6$ is divided by $x+3$ .
Answer Altempt 1. out of 2 $\square$ Submit Answer

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Problem 30438

5. For each of the following, find the number described by setting up and solving an equation. Use the variable $n$ in each case. (a) When two-thirds of a number is (b) When the sum of a number and 14 is increased by 8 , the result is 20 . divided by 3 , the result is 4 .
USING YOUR MATH
6. Mark is six years older than his brother Sam. The sum of their ages is 30. Let $a$ be Sam's age. Set up and solve an equation using the information given to find the value of $a$ .
7. Alonzo and Mandy are selling raffle tickets at school for a fundraiser. Alonzo sells 5 tickets less than three times what Mandy sells. Together they sell a total of 43 tickets. Let $n$ equal the number of tickets Mandy sells. Use an equation to determine the number of tickets Alonzo sells. Show how you arrived at your answer.
8. Elena, Karla, and Faye are playing a card game where they score points. Karla scores twice the number of points Elena does, and Faye scores 30 points more than Elena does. The sum of their three scores is 114 . Who scores more points, Karla or Faye? Show how you found your answer. (Hint: Let $n$ equal the number of points that Elena scores.) N-Gen Matie 7, Unit 6-Lintar Equations and Inequalities - Lesson 6

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Problem 30439

Fing the angle of $D$

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Problem 30440

These temperatures were recorded in International Falls, Minnesota, on four consecutive days: day $1:-10^{\circ} \mathrm{F}$ day $2:-13^{\circ} \mathrm{F}$ day $3:-8^{\circ} \mathrm{F}$ day $4:-11^{\circ} \mathrm{F}$ On which day was the temperature farthest from $0^{\circ} \mathrm{F}$ ? A. day 1 B. day 2 C. day 3 D. day 4

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Problem 30441

Which of these absolute values is the greatest? A. $|140|$ B. $|-104|$ C. $|104|$ D. |-204| Reset Next

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Problem 30442

$\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}$

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Problem 30443

20. $8-\frac{3}{2} x \geq-13$ $-\frac{3}{2} \times \geq 21$

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Problem 30444

A calculator is allowed for this question. Solve for $x$ (round to the nearest thousandth)

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Problem 30445

Score I 、Fill in the blanks. (Questions 1 to 5 carry 2 marks each. 10 marks totally.)
1. Let $\vec{u}=(2,5,-3), \vec{v}=(-4,1,9)$ . Then $2 \vec{u}-3 \vec{v}=$ $\qquad$
2. The dot product of $\vec{u}=(1,-2,4)$ and $\vec{v}=(3,1,2)$ is $\qquad$ .
3. The trace of the matrix $A=\left(\begin{array}{ccc}4 & 1 & -2 \\ 2 & -3 & 6 \\ 7 & 3 & 0\end{array}\right)$ is $\qquad$ .
4. A square matrix $A$ is said to be singular if $\qquad$
5. The distance between the noints $\vec{\gamma}-1$

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Problem 30446

13. $x+\frac{1}{2} y=3$

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Problem 30447

8. Let $A, B$ be invertible $3 \times 3$ matrices. The following conclusion is correct ( ). A. $(A+B)^{-1}=A^{-1}+B^{-1}$ B. $(A B)^{-1}=A^{-1} B^{-1}$ C. $(A B)^{t}=B^{t} A^{t}$ D. $|3 A|=3|A|$
9. The cofactor $C_{21}$ of matrix $\left(\begin{array}{ccc}1 & 2 & -3 \\ 5 & 0 & 6 \\ 7 & 1 & -4\end{array}\right)$ is $(\quad)$ . A. 5 B. -1 C. -5 D. 1
10. Let $A$ be an $n \times n$ matrix and $|A|=2$ . Then $\left||A| A^{t}\right|=(\quad)$ . A. $2^{n}$ B. $2^{n-1}$ C. $2^{n+1}$ D. 4 III. Solve the questions. (Questions 11 to 15 carry 10 marks each. 50 marks Score totally.)
11. Let $A=\left[\begin{array}{ccc}3 & 4 & -2 \\ 5 & -1 & 2\end{array}\right], \quad B=\left[\begin{array}{ccc}1 & -2 & 1 \\ 1 & -4 & 3\end{array}\right], \quad C=\left[\begin{array}{cc}5 & 2 \\ -2 & 1\end{array}\right]$ . Compute $2 A-3 B, C A$ .

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Problem 30448

$\frac{12 \mathrm{~g}}{12 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1.66 \cdot 10^{-24} \mathrm{~g}}=6022 \cdot 10^{23}$

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Problem 30449

Find all solutions over the interval $[0,2 \pi]$ given the equation $2 \cos ^{2} \theta+3 \cos \theta=-1$

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Problem 30450

Solve the following inequality algebraically. $3 x^{2}-15 x-112<-4$

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Problem 30451

Accelerated Pre-Calculus Seat \# $\qquad$ Date $\qquad$ 4.11a - Homework Educatior Binder S
Part I: New Material - Solving Quadratic Trigonometric Equations A. Directions: Find all solutions to each equation over the interval $[0,2 \pi]$ . Show all wor your final answer.
1. $2 \cos (x)=1$
2. ) $2 \sin ^{2} x+3 \sin x+1=0$

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Problem 30452

For berylium chloride, 0.076 moles of silver nitrate are used. For magnesium chloride, 0.064 moles of silver nitrate are used. For calcium chloride, 0.055 moles of silver nitrate are used. How many moles of $\mathrm{AgNO}_{3}$ should we use to be sure that we have excess, no matter which of the three compounds it is? a) 0.025 mol b) 0.050 mol c) 0.075 mol d) 0.100 mol

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Problem 30453

For berylium chloride, 0.076 moles of silver nitrate are used. For magnesium chloride, 0.064 moles of silver nitrate are used. For calcium chloride, 0.055 moles of silver nitrate are used.
How many moles of $\mathrm{AgNO}_{3}$ should we use to be sure that we have excess, no matter which of the three compounds it is? a) 0.100 mol b) 0.075 mol c) 0.025 mol d) 0.050 mol

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Problem 30454

um erro inferior a $10^{-2}$
4. Usando o método de ponto fixo, determinar o valor aproximado de $\sqrt[5]{-7}$ com erro inferior a $10^{-2}$ . 3.5

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Problem 30455

(30) $6 \log _{0,1}^{2} x+\log _{0,1} x<6$ .

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Problem 30456

The table shows the price of a tablet in 2021 and in 2022. \begin{tabular}{|c|c|} \hline Year & Price (\$) \\ \hline 2021 & 155 \\ \hline 2022 & 128.65 \\ \hline \end{tabular}
You determined that the percent decrease from 2021 to 2022 was $17 \%$ .
If the percent decrease continues for another year. what will the price of the table be in 2023? submit

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Problem 30457

O Linear Inequalities Solving a decimal word problem using a linear inequality with the variabl... 0/3 JOSHERLY
A phone company offers two monthly charge plans. In Plan A, there is Español no monthly fee, but the customer pays 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $\$ 9$ and then an additional 3 cents per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B? Use $m$ for the number of minutes of phone use in a month, and solve your inequality for $m$ . $\square$ ㅁ< ロ>ロ $\square \leq \square$ $\square \geq \square$ $\times$ 5 Explanation Check

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Problem 30458

1.2 Calculate $\sum_{\mathrm{m}-2}^{50}(5-2 \mathrm{~m})$

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Problem 30459

4. A company budgeted unit sales of 204,000 units for January, 2017 and 240,000 units for February 2017. The company-has-a policy of having an inventory of units on hand at the end equal to $30 \%$ of next month's budgeted unit sales. If there were 61,200 units of inventory on hand on December 31, 2016, how many units should be produced in January, 2017 in order for the company to meet its goals?

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Problem 30460

Marc left his house to drive to work. As he heads down his street, his speed increases steadily until he sees the stop sign at the end of the street. Then his speed decreases steadily until he comes to a complete stop at the stop sign. After waiting at the stop sign for his turn to go, Marc's speed steadily increases until he reaches the speed limit. Marc then drives at this constant speed until he approaches his office. He slows down steadily and comes to a complete stop in front of his office.
Which graph represents Marc's drive to work?
Marc's Drive to Work $\Delta y$
Marc's Drive to Work

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Problem 30461

9) Знайти: $\int_{0}^{x} \frac{\operatorname{sh} t^{3}}{t^{3}} d t .$

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Problem 30462

2. (35)Risolvere le seguenti equazioni e disequazioni logaritmiche:() a) $3-\log _{2}\left(x^{2}-2 x\right)=0$ d) $\log _{\frac{1}{2}}(3 x)-\log _{\frac{1}{2}}(x+1)>1$ b) $\log (1+x)+2 \log \sqrt{1-x}=\log (9-6 x)$ c) $2 \cdot 3^{x+2}=2^{x+1}$ e) $\frac{\log (x-3) \cdot \log x}{\log (x-4)} \leq 0$ f) $\left(\log _{2} x\right)^{3}-9 \log _{2} x \leq 0$ g) $\log _{\frac{1}{2}}\left(x^{2}-4\right)+\log _{2} 2 x-1>0$

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Problem 30463

(1) Oxygen atoms don't take positive oxidation number except on binding with $\qquad$ (a) Fluorine ${ }^{2} F$ (b) Chlorine ${ }_{17} \mathrm{Cl}$ (c) Hydrogen ${ }_{1} H$ (c) Sulphur ${ }_{16 S} S$

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Problem 30464

1. (5)Calcolare il valore delle seguenti espressioni: a) $\log _{2}(8 \cdot \sqrt[3]{2})+\log _{2} \frac{4 \cdot \sqrt[3]{2}}{\sqrt{8}}=$ b) $5^{\log _{5} 3}+\log \left(\log _{4} 4\right)+\log _{3} 9=$

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Problem 30465

إذا كان المطوح المحدد بالمتجهات

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Problem 30466

13. Jeacher cuts our every 3 sheets of paper into 10 equal pieces and he divided all proves equally between 2 students a) How many pieces of pager does oacn stuclent ge c.

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Problem 30467

В большой развивающейся стране численность занятых составляет 100 млн. чел., а уровень безработицы составляет 20\%. Какова численность безработных в этой стране?
Выберите один ответ: a. $20 \mathrm{M} / \mathrm{H}$ b. $25 \mathrm{~m} / \mathrm{H}$ C. $80 \mathrm{~m} / \mathrm{H}$ d. $16 \mathrm{~m} / \mathrm{H}$

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Problem 30468

Если уровень цен за год вырос в 2,5 раза, то сколько составила инфляции за этот период?
Выберите один ответ: a. $100 \%$ b. $250 \%$ c. $150 \%$ d. $50 \%$

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Problem 30469

CONSTRUCTION Lupita is building a gate following this diagram.
If $m \angle L M N=43^{\circ}$ and $\angle L M N \cong \angle O M P$ , what is $m \angle N M P$ ? A) $47^{\circ}$ B) $69^{\circ}$ C) $94^{\circ}$ D) $137^{\circ}$

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Problem 30470

point)
Evaluate $\int_{0}^{3} 2 x \sqrt{x^{2}+16} d x$
Answer: $\square$ Preview My Answers Submit Answers

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Problem 30471

1 - Derivatives of Polynomials and Exponential Functions: point)
At a time $t$ seconds after it is thrown up in the air, a tomato is at a height (in meters) of $f(t)=-4.9 t^{2}+60 t+4 \mathrm{~m}$ . A. What is the average velocity of the tomato during the first 5 seconds? (Include help (units) .) $\square$ B. Find (exactly) the instantaneous velocity of the tomato at $t=5$ . (Include help (units) .) $\square$ C. What is the acceleration at $t=5$ ? (Include help (units).) $\square$ D. How high does the tomato go? (Include help (units).) $\square$ E. How long is the tomato in the air? (Include help (units).) ote: You can earn partial credit on this problem.
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Problem 30472

(1 point)
Use the Fundamental Theorem of Calculus to find $\int_{1}^{16} \frac{\sin (\sqrt[4]{x})}{\sqrt[4]{x^{3}}} d x=$ $\square$

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Problem 30473

Evaluate the definite integral. $\int_{-\pi / 2}^{\pi / 2} \sin ^{8}(x) \cos (x) d x=$ $\square$
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Problem 30474

Let $f(x)=\left\{\begin{array}{ll} 0 & \text { if } x<-3 \\ 2 & \text { if }-3 \leq x<-1 \\ -5 & \text { if }-1 \leq x<5 \\ 0 & \text { if } x \geq 5 \end{array}\right.$ and $g(x)=\int_{-3}^{x} f(t) d t$
Determine the value of each of the following: (a) $g(-5)=$ $\square$ (b) $g(-2)=$ $\square$ (c) $g(0)=$ $\square$ (d) $g(6)=$ $\square$ (e) The absolute maximum of $g(x)$ occurs when $x=$ $\square$ and is the value $\square$ It may be helpful to make a graph of $f(x)$ when answering these questions.
Note: You can earn partial credit on this problem.

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Problem 30475

5.3 - ine Fundamental ineorem ot (1 point)
Suppose that $F(x)=\int_{1}^{x} f(t) d t$ , where $f(t)=\int_{1}^{t^{4}} \frac{\sqrt{6+u^{4}}}{u} d u$
Find $F^{\prime \prime}(2)$ . $F^{\prime \prime}(2)=$ $\square$ Preview My Answers Submit Answers

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Problem 30476

Problems (1 point)
Let $f(x)=\int_{1}^{x} t^{8} d t$ . Evaluate the following. $\begin{array}{l} f^{\prime}(x)=\square \\ f^{\prime}(-4)=\square \end{array}$
Note: You can earn partial credit on this problem.

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Problem 30477

oblem $1 \vee$ oblem $2 \checkmark$ oblem $3 \checkmark$ oblem 4 blem 5 blem $6 \checkmark$ blem $7 \checkmark$ blem 8 lem 9

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Problem 30478

(1 point) $\qquad$ Evaluate $\int_{\pi}^{\pi} \sin ^{4} x \cos ^{3} x d x$ Answer: $\square$
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Problem 30479

5.2 - The Definite Integral: Problem 2 (1 point)
The limit $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{2 x_{i}^{}+\left(x_{i}^{}\right)^{2}} \Delta x$ can be expressed as a definite integral on the interval $[1,8]$ of the form $\int_{a}^{b} f(x) d x$
Determine $a, b$ , and $f(x)$ . $\begin{array}{l} a=\square \\ b=\square \end{array}$ $f(x)=$ $\square$

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Problem 30480

(1 point)
Consider the integral $\int_{2}^{6} \frac{x}{1+x^{5}} d x$ . Which of the following expressions represents the integral as a limit of Riemann sums? A. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{2+\frac{4 i}{n}}{1+\left(2+\frac{4 i}{n}\right)^{5}}$ B. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{2+\frac{6 i}{n}}{1+\left(2+\frac{6 i}{n}\right)^{5}}$ C. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{6}{n} \frac{2+\frac{6 i}{n}}{1+\left(2+\frac{6 i}{n}\right)}$ D. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \frac{2+\frac{4 i}{n}}{1+\left(2+\frac{4 i}{n}\right)^{5}}$ E. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \frac{2+\frac{4 i}{n}}{1+\left(2+\frac{4 i}{n}\right)}$ F. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{6}{n} \frac{2+\frac{6 i}{n}}{1+\left(2+\frac{6 i}{n}\right)^{5}}$ Preview My Answers Submit Answers
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Problem 30481

Definition: The AREA A of the region $S$ that lies under the graph of the continuous function $f$ is the limit of the sum of the areas of approximating rectangles $A=\lim _{n \rightarrow \infty} R_{n}=\lim _{n \rightarrow \infty}\left[f\left(x_{1}\right) \Delta x+f\left(x_{2}\right) \Delta x+\ldots+f\left(x_{n}\right) \Delta x\right]$
Consider the function $f(x)=\frac{\ln (x)}{x}, 3 \leq x \leq 10$ . Using the above definition, determine which of the following expressions represents the area under the graph of $f$ as a limit. A. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{7}{n} \frac{\ln \left(3+\frac{7 i}{n}\right)}{3+\frac{7 i}{n}}$ B. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{7}{n} \frac{\ln \left(\frac{7 i}{n}\right)}{\frac{7 i}{n}}$ C. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{10}{n} \frac{\ln \left(\frac{10 i}{n}\right)}{\frac{10 i}{n}}$ D. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\ln \left(3+\frac{7 i}{n}\right)}{3+\frac{7 i}{n}}$ E. $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{10}{n} \frac{\ln \left(3+\frac{10 i}{n}\right)}{3+\frac{10 i}{n}}$ Preview My Answers Submit Answers

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Problem 30482

Find $f$ if $f^{\prime \prime}(x)=4-6 x, f(0)=4$ , and $f(2)=-7$ . Answer: $f(x)=$ $\square$
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Problem 30483

Find the most general antiderivative of the function $g(x)=\sqrt[7]{x^{6}}+\sqrt[6]{x^{7}}$
Answer: $G(x)=$ $\square$ (i) Preview My Answers Submit Answers

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Problem 30484

(1 point)
Find $f$ if $f^{\prime \prime}(x)=\sin (x)+\cos (x), f(0)=-7, f^{\prime}(0)=1$ . $f(x)=$ $\square$ Preview Mv Answers Submit Answers

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Problem 30485

(1 point)
Find the function with derivative $f^{\prime}(x)=e^{9 x}$ that passes through the point $P=(0,2 / 9)$ . $f(x)=$ $\square$ Preview My Answers Submit Answers
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Problem 30486

Let $f(x)=\frac{19}{\sqrt{1-x^{2}}}$ . Enter an antiderivative of $f(x)$ . $\square$

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Problem 30487

Find an antiderivative of $q(t)=(t+4)^{2}$ $Q(t)=$ $\square$ Preview My Answers Submit Answers

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Problem 30488

If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume $=$ $\square$ (include help (units)

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Problem 30489

(1 point)
Evaluate the limit $\lim _{x \rightarrow \infty} \sqrt{x^{2}+5 x+6}-x$

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Problem 30490

Find the limit: $\lim _{x \rightarrow 0}\left(\frac{4}{x}-\frac{4}{\sin (x)}\right)=$ $\square$ (Enter undefined if the limit does not exist.)
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Problem 30491

Evaluate the limit using L'Hospital's rule if necessary. $\lim _{x \rightarrow 0^{+}} x^{9 \sin (x)}$
Answer: $\square$

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Problem 30492

(1 point)
Evaluate the following limits, using L'Hopital's rule if appropriate. $\lim _{x \rightarrow 0^{+}} \sqrt[4]{x} \ln (x)=$ $\square$ Preview My Answers Submit Answers

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Problem 30493

Find the limit. Use l'Hospital's Rule where appropriate. $\lim _{x \rightarrow-\infty} x^{2} e^{x}$
Limit: $\square$
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Problem 30494

Evaluate the limit using L'Hospital's rule $\lim _{x \rightarrow 0} \frac{3^{x}-4^{x}}{x}$

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Problem 30495

Find $\mathrm{m} \angle J K I$ .

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Problem 30496

82 8-2 1 83 00 A 1 8-4 00 80 1 1 1 = √√√8 # 4096 64 = √√8 64 512

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Problem 30497

2) Theresa adds $\$ 3,000$ to her savings account on the first day of each year. Marcus adds $\$ 3,000$ to his savings account on the last day of each year. They both earn 7.5 percent annual interest. What is the difference in their savings account balances at the end of 34 years? You estimate that you will owe \$48,200 in student loans by the time you graduate. The interest rate is 6.52 percent. If you want to have this debt paid in full within six years, how much must you pay each month?

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Problem 30498

A hexagon is graphed on a coordinate grid and then was rotated $90^{\circ}$ counterclockwise with the origin as the center of rotation to create a new figure. If a vertex of the original hexagon was located at $(3,-9)$ , which ordered pair represents the vertex of the new hexagon after th transformation? $(3,9)$ $(9,3)$ $(-3,-9)$ $(-9,-3)$

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Problem 30499

streak $0 / 4$ skills
Marie made a model (shown below) of the square pyramid she plans to build when she grows up.
Find the surface area of the model. $\square$ $\mathrm{m}^{2}$

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Problem 30500

For the following equation, what is the instantaneous rate of change at $x=-1 ?$ $f(x)=-2 x^{3}-x^{2}$

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Problem 30401

Find prices p1p_{1}p1​ and p2p_{2}p2​ for Ultra Mini and Big Stack such that q1=0q_{1}=0q1​=0 and q2=0q_{2}=0q2​=0 using given demand functions.

Problem 30402

Solve the inequality 2x+54>x−23+2\frac{2 x+5}{4}>\frac{x-2}{3}+242x+5​>3x−2​+2 and express the solution in interval notation.

Problem 30403

A motorist traveled from Town A to B, averaging 54 km/h54 \mathrm{~km/h}54 km/h. If the first 13\frac{1}{3}31​ was at 45 km/h45 \mathrm{~km/h}45 km/h and he traveled 480 km after, find the speed for the last 23\frac{2}{3}32​.

Problem 30404

Find the sums, differences, products, and quotients of the following functions: 1. f(x)=3x+4,g(x)=2x−1f(x)=3x+4, g(x)=2x-1f(x)=3x+4,g(x)=2x−1 2. f(x)=2x−5,g(x)=4x2f(x)=2x-5, g(x)=4x^2f(x)=2x−5,g(x)=4x2 3. f(x)=x−4,g(x)=xf(x)=x-4, g(x)=\sqrt{x}f(x)=x−4,g(x)=x​

Problem 30405

Sierra buys 3123 \frac{1}{2}321​ Lbs of bananas, 1341 \frac{3}{4}143​ Lbs of blueberries, and 2 Lbs of raspberries at \$0.80/Lb. Total cost?

Problem 30406

Given matrix AAA and vectors uuu and vvv, find T(u)T(u)T(u) and T(v)T(v)T(v) where T(x)=AxT(x) = A xT(x)=Ax.

Problem 30407

Find f′(−4)f^{\prime}(-4)f′(−4) for f(x)=4x2−3xf(x)=4 x^{2}-3 xf(x)=4x2−3x using the difference quotient and limit as h→0h \rightarrow 0h→0.

Problem 30408

Round the sum of 5.63+2.15+16.395.63 + 2.15 + 16.395.63+2.15+16.39 to the nearest integer.

Problem 30409

Raul works 2h/day, Mon-Fri, and 8h on Sat at \$2 more/hour. He earns \$142/week. Find his weekday hourly rate.

Problem 30410

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x), (g∘f)(x)(g \circ f)(x)(g∘f)(x), and (f∘g)(3)(f \circ g)(3)(f∘g)(3) for f(x)=2xf(x)=2xf(x)=2x, g(x)=x+5g(x)=x+5g(x)=x+5.

Problem 30411

Given the matrix AAA and vectors uuu and vvv, find T(u)T(u)T(u) and T(v)T(v)T(v) where T(x)=AxT(x)=AxT(x)=Ax. Simplify your answers.

Problem 30412

Tanisa and her sister bought 5 pairs of shoes for a total of \$170, including \$15 shipping. Find the cost per pair.

Problem 30413

Kayla drew a tangent line to f(x)f(x)f(x) at (10,f(10))(10, f(10))(10,f(10)) with slope 2 and yyy-intercept -1. Find f(10)f(10)f(10).

Problem 30414

Solve for xxx in the equation 5x=9x−165 x=9 x-165x=9x−16.

Problem 30415

Problem 30416

Problem 30417

Solve the inequality for yyy. −2−25y≥−18-2-\frac{2}{5} y \geq-18−2−52​y≥−18Simplify your answer as much as possible.

Problem 30418

Solve the inequality for xxx. 14x+8≤17\frac{1}{4} x+8 \leq 1741​x+8≤17Simplify your answer as much as possible.

Problem 30419

Solve the inequality for www. 13−83w>1913-\frac{8}{3} w>1913−38​w>19Simplify your answer as much as possible.

Problem 30420

Problem 30421

Problem 30422

Problem 30423

Find the value of xxx. a) the sum of interior quadrilateral is 360. x=x=x= \qquad

Problem 30424

(16) A 90%90 \%90% antifreeze solution is to be mixed with a 75%75 \%75% solution to make 120 liters of a 78%78 \%78% solution. How many liters of the 90%90 \%90% and 75%75 \%75% solutions will be used?

Problem 30425

Graph the line. y=2x−6y=2 x-6y=2x−6 Explanation Check

Problem 30426

Problem 30427

Problem 30428

Problem 30429

Problem 30430

1) A rope is cut into three pieces P,QP, QP,Q, and RRR. The lengths of the pieces are in the ratio 3:5:73: 5: 73:5:7. If the rope is 33 feet 9 inches long, find the lengths of P,QP, QP,Q, and RRR.

Problem 30431

Evaluate the integral. (Use C for the constant of integration.) ∫ln⁡(x)x2dx\int \frac{\ln (x)}{x^{2}} d x∫x2ln(x)​dx

Problem 30432

Point CCC is the midpoint of AB‾\overline{A B}AB and point BBB is between points AAA and DDD. If AD=17A D=17AD=17 and BD=9B D=9BD=9, what CD=C D=CD=

Problem 30433

Problem 30434

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. □\square□ width === yards yards

Problem 30435

Problem 30436

Problem 30437

Score: 0/2 Penalty: noneQuestion Watch Video Show ExamplesUse synthetic division to find the result when x3−7x2−28x+6x^{3}-7 x^{2}-28 x+6x3−7x2−28x+6 is divided by x+3x+3x+3.Answer Altempt 1. out of 2 □\square□ Submit Answer

Problem 30438

Problem 30439

Fing the angle of DDD

Problem 30440

Problem 30441

Which of these absolute values is the greatest? A. ∣140∣|140|∣140∣ B. ∣−104∣|-104|∣−104∣ C. ∣104∣|104|∣104∣ D. |-204| Reset Next

Problem 30442

72×45\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}72×45​​

Problem 30443

20. 8−32x≥−138-\frac{3}{2} x \geq-138−23​x≥−13 −32×≥21-\frac{3}{2} \times \geq 21−23​×≥21

Problem 30444

A calculator is allowed for this question. Solve for xxx (round to the nearest thousandth)

Problem 30445

Problem 30446

13. x+12y=3x+\frac{1}{2} y=3x+21​y=3

Problem 30447

Problem 30448

Find prices $p_{1}$ and $p_{2}$ for Ultra Mini and Big Stack such that $q_{1}=0$ and $q_{2}=0$ using given demand functions.

Solve the inequality $\frac{2 x+5}{4}>\frac{x-2}{3}+2$ and express the solution in interval notation.

A motorist traveled from Town A to B, averaging $54 \mathrm{~km/h}$ . If the first $\frac{1}{3}$ was at $45 \mathrm{~km/h}$ and he traveled 480 km after, find the speed for the last $\frac{2}{3}$ .

Find the sums, differences, products, and quotients of the following functions:
1. $f(x)=3x+4, g(x)=2x-1$
2. $f(x)=2x-5, g(x)=4x^2$
3. $f(x)=x-4, g(x)=\sqrt{x}$

Sierra buys $3 \frac{1}{2}$ Lbs of bananas, $1 \frac{3}{4}$ Lbs of blueberries, and 2 Lbs of raspberries at \$0.80/Lb. Total cost?

Given matrix $A$ and vectors $u$ and $v$ , find $T(u)$ and $T(v)$ where $T(x) = A x$ .

Find $f^{\prime}(-4)$ for $f(x)=4 x^{2}-3 x$ using the difference quotient and limit as $h \rightarrow 0$ .

Round the sum of $5.63 + 2.15 + 16.39$ to the nearest integer.

Find $(f \circ g)(x)$ , $(g \circ f)(x)$ , and $(f \circ g)(3)$ for $f(x)=2x$ , $g(x)=x+5$ .

Given the matrix $A$ and vectors $u$ and $v$ , find $T(u)$ and $T(v)$ where $T(x)=Ax$ . Simplify your answers.

Kayla drew a tangent line to $f(x)$ at $(10, f(10))$ with slope 2 and $y$ -intercept -1. Find $f(10)$ .

Solve for $x$ in the equation $5 x=9 x-16$ .

Solve the inequality for $y$ . $-2-\frac{2}{5} y \geq-18$
Simplify your answer as much as possible.

Solve the inequality for $x$ . $\frac{1}{4} x+8 \leq 17$
Simplify your answer as much as possible.

Solve the inequality for $w$ . $13-\frac{8}{3} w>19$
Simplify your answer as much as possible.

Find the value of $x$ . a) the sum of interior quadrilateral is 360. $x=$ $\qquad$

(16) A $90 \%$ antifreeze solution is to be mixed with a $75 \%$ solution to make 120 liters of a $78 \%$ solution. How many liters of the $90 \%$ and $75 \%$ solutions will be used?

Graph the line. $y=2 x-6$ Explanation Check

1) A rope is cut into three pieces $P, Q$ , and $R$ . The lengths of the pieces are in the ratio $3: 5: 7$ . If the rope is 33 feet 9 inches long, find the lengths of $P, Q$ , and $R$ .

Evaluate the integral. (Use C for the constant of integration.) $\int \frac{\ln (x)}{x^{2}} d x$

Point $C$ is the midpoint of $\overline{A B}$ and point $B$ is between points $A$ and $D$ . If $A D=17$ and $B D=9$ , what $C D=$

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. $\square$ width $=$ yards yards

Score: 0/2 Penalty: none
Question Watch Video Show Examples
Use synthetic division to find the result when $x^{3}-7 x^{2}-28 x+6$ is divided by $x+3$ .
Answer Altempt 1. out of 2 $\square$ Submit Answer

Fing the angle of $D$

Which of these absolute values is the greatest? A. $|140|$ B. $|-104|$ C. $|104|$ D. |-204| Reset Next

$\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}$

20. $8-\frac{3}{2} x \geq-13$ $-\frac{3}{2} \times \geq 21$

A calculator is allowed for this question. Solve for $x$ (round to the nearest thousandth)

13. $x+\frac{1}{2} y=3$

$\frac{12 \mathrm{~g}}{12 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1.66 \cdot 10^{-24} \mathrm{~g}}=6022 \cdot 10^{23}$

Find all solutions over the interval $[0,2 \pi]$ given the equation $2 \cos ^{2} \theta+3 \cos \theta=-1$

Solve the following inequality algebraically. $3 x^{2}-15 x-112<-4$

um erro inferior a $10^{-2}$
4. Usando o método de ponto fixo, determinar o valor aproximado de $\sqrt[5]{-7}$ com erro inferior a $10^{-2}$ . 3.5

(30) $6 \log _{0,1}^{2} x+\log _{0,1} x<6$ .

1.2 Calculate $\sum_{\mathrm{m}-2}^{50}(5-2 \mathrm{~m})$

9) Знайти: $\int_{0}^{x} \frac{\operatorname{sh} t^{3}}{t^{3}} d t .$

(1) Oxygen atoms don't take positive oxidation number except on binding with $\qquad$ (a) Fluorine ${ }^{2} F$ (b) Chlorine ${ }_{17} \mathrm{Cl}$ (c) Hydrogen ${ }_{1} H$ (c) Sulphur ${ }_{16 S} S$

Если уровень цен за год вырос в 2,5 раза, то сколько составила инфляции за этот период?
Выберите один ответ: a. $100 \%$ b. $250 \%$ c. $150 \%$ d. $50 \%$

point)
Evaluate $\int_{0}^{3} 2 x \sqrt{x^{2}+16} d x$
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(1 point)
Use the Fundamental Theorem of Calculus to find $\int_{1}^{16} \frac{\sin (\sqrt[4]{x})}{\sqrt[4]{x^{3}}} d x=$ $\square$

Evaluate the definite integral. $\int_{-\pi / 2}^{\pi / 2} \sin ^{8}(x) \cos (x) d x=$ $\square$
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