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Problem 2501

$f(x) = \frac{4}{\sqrt[4]{x}}$ Encuentra la derivada de $f(x)$ .

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Problem 2502

The two cones below are similar. What is the height of the larger cone? A. 5 B. $\frac{35}{4}$ C. $\frac{28}{5}$ D. $\frac{20}{7}$

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Problem 2503

What is the value of $c$ in the system below? $\begin{array}{l} -2 a+3 b+2 c=7 \\ 2 a+3 b=29 \\ 5 a=20 \end{array}$

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Problem 2504

$12^{x}=4^{x+3}$

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Problem 2505

Calculate the Capital Intensity Ratio given the following information: Asset $=1.5 \mathrm{M}$ Sales $=3 \mathrm{M}$ Income $=0.5 \mathrm{M}$ CapEx = 1 M Debt $=.5 \mathrm{M}$ Equity = 1 M

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Problem 2506

The wheel and piston device shown above consists of a wheel of radius 1 foot that is connected at the point $\mathbf{W}$ to a piston at $\mathbf{P}$ by a connecting rod (represented by the segment WP in the diagram) of length 6 feet. The wheel rotates counterclockwise at a rate of of 6 radians per second as the piston moves up and down along the $y$ -axis. (Click the hint to see animation). The point $\mathbf{W}$ is at $(1,0)$ at $t=0$ seconds. a) What is the measure of angle $\theta$ after $t$ seconds? $\theta=1 \quad \text { Q㕸 radians }$
Section Attempt 1 of 4 Verify

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Problem 2507

Which of the following is closest to the number of minutes it would take a ship to travel 90 miles at a constant speed of 20 miles per hour? A. 13 B. 22 C. 70 D. 270 E. 450

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Problem 2508

What will be the measure of angle 6 if angle 1 is equal to 60 ?

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Problem 2509

What is the solution to $\log _{2}(9 x)-\log _{2} 3=3$ ? $x=\frac{3}{8}$ $x=\frac{8}{3}$ $x=3$ $x=9$

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Problem 2510

Find the derivative of the function $f(x)=\frac{73}{x^{-2}}+\frac{5}{x^{3}}$ .

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Problem 2511

A. 10 ค. 16 C. 24 D. 48 I. 144

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Problem 2512

Consider the following pair of points. $(0,-9) \text { and }(1,-1)$
Step 1 of 2: Determine the distance between the two points.
Answer

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Problem 2513

Do Now Practice
Calculate the slope of the line containing the points: i) $(1,1)$ and $(2,2)$ ii) (1, 2) and (2, 1) iii) $(5,1)$ and $(2,1)$

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Problem 2514

Suppose you have a $\frac{1}{10}$ chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of winning with all 3 ? A. $\frac{1}{100}$ B. $\frac{1}{1000}$ C. $\frac{1}{100,000}$ D. $\frac{1}{10,000}$

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Problem 2515

Type the correct answer in the box. The area of the region under the curve of the function $f(x)=5 x+7$ on the interval $[1, b]$ is 88 square units, where $b>1$ .
The value of $b$ is $\square$

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Problem 2516

Suppose $A$ and $B$ are independent events. If $P(A)=0.4$ and $P(B)=0.9$ , what is $P\left(A^{\prime} \cap B\right)$ ? A. 0.04 B. 0.36 C. 0.06 D. 0.54

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Problem 2517

ALGEBRA II
3. If $\log (n)=0.6$ , find the value of $\log (10 n)$ .
4. If $m$ is a positive integer and $\log (m) \approx 3.8$ , how many digits are there in $m$ ? Explain how you know.
5. If $m$ is a positive integer and $\log (m) \approx 9.6$ , how many digits are there in $m$ ? Explain how you know.
6. Vivian says $\log (452000)=5+\log (4.52)$ , while her sister Lillian says that $\log (452000)=6+\log (0.452)$ . Which sister is correct? Explain how you know.

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Problem 2518

1. Tabitha is a van driver for a supermarket that provides home deliveries. Orders are packed into boxes for home delivery to customers. The dimensions of each box and the internal dimensions of the van are shown in the diagrams.
All boxes must be aligned in the same direction. Calculate the maximum number of boxes that will fit in the van.

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Problem 2519

click here to watch the video. The measure of angle $B$ is $39^{\circ}$ . Find the measure of angle $H$ .
Enter your answer in degrees. $\square$

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Problem 2520

效， Find $m \angle I$ .

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Problem 2521

Watch the video and then solve the problem given below. Click here to watch the video. Find the area of a parallelogram with a base of 12 inches and height of 8 inches.
Enter the answer in square inches. $\square$ square inches

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Problem 2522

Find the sum of the measures of the angles of a ten-sided polygon.

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Problem 2523

Solve for $v$ . $\frac{7}{4} v-\frac{8}{5}=-\frac{2}{3}$
Simplify your answer as much as possible. $v=$

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Problem 2524

Find the measure of the complement and the supplement of $85^{\circ}$ .
What is the measure of the complement of $85^{\circ}$ ? $\square$ What is the measure of the supplement of $85^{\circ}$ ? $\square$

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Problem 2525

2 atson, Mizhane
What is the equation of the line that passes through the point $(-2,7)$ and has a slope of zero? (A) $x=7$ (B) $y=-2$ (C) $x=-2$ (D) $y=7$

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Problem 2526

Find the measure of angle A for the triangle shown.

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Problem 2527

and a height of 4 inches. At most, how many pyramids can the artiet make from the block of slabaster? A. 136 B. 144 C. 154 D. 166 E. 172 Reset Noxts

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Problem 2528

20. A tailor has 20 yards of shirt fabric. How many shirts can she complete if each shirt requires $2 \frac{3}{4}$ yards of fabric? A. 6 B. 7 C. 8 D. 10

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Problem 2529

Find the conjugate then determine in a + bi form the solution to $\frac{(5-i)}{(5+i)}$ $(5-1) / 23$ $(13-5 i) / 13$ $(5+i) / 13$ $(5-3 i) / 13$ $(1-i) / 10$

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Problem 2530

Divide 5 by $\sqrt{ } 2$ . 2.5 10 $5 / \sqrt{2}$ $\sqrt{ } 10$

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Problem 2531

Grade:
What Happened When Two Fruit Companies Merged? For each exercise below, find the equation of the line passing through the given points. Circle the two letters next to the correct equation. Then write these letters in the two boxes at the bottom of the page that contain the number of that exercise. (1) $(1,5)(2,7)$ (2) $(0,1)(3,-8)$ (3) $(2,-3)(4,-2)$ (4) $(2,5)(4,2)$ (5) $(-3,-5)(-1,3)$ (6) $(3,-1)(-6,-4)$ (7) $(4,1)(-4,7)$ (8) $(-1,2)(3,4)$ (9) $(-1,-4)(2,0)$ (10) $(3,-1)(-3,5)$
Answers: $1-5$ (IS) $y=\frac{2}{3} x+3$ (TH) $y=\frac{1}{2} x-4$ (AP) $y=-\frac{3}{2} x+8$ (II) $y=-3 x+5$ (ST) $y=\frac{1}{2} x-7$ (DE) $y=2 x+3$ (CT) $y=-3 x+1$ (EY) $y=4 x+7$ (LO) $y=-\frac{3}{2} x-4$ (II) $y=2 x+1$ (ER $y=-\frac{3}{4} x+4$ (EL) $y=-2 x-1$ (EA) $y=-\frac{3}{4} x+2$ (AR $y=\frac{1}{3} x-2$ (FE) $y=\frac{4}{3} x-\frac{8}{3}$

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Problem 2532

Solve the following system of equations graphically on the set of axes below. $\begin{array}{c} y=-\frac{3}{2} x-8 \\ x-2 y=8 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

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Problem 2533

ELIMINATION $\begin{array}{l} y=3 x-1 \\ y+x=3 \end{array}$

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Problem 2534

26. Kerzenständer*
Die Abbildung zeigt das Querschnittsdesign eines Kerzenständers für 3 cm dicke Kerzen. Seine Konturkurve kann durch die Funktion $f(x)=\frac{1}{8} x^{2}+2,0 \leq x \leq 5$ , dargestellt werden. a) Berechnen Sie das massive Metallvolumen des 5 cm hohen Kerzenständers. b) Der Kerzenständer soll noch wits chafticher gestaltet werden. Dazu soll in Boden eine zylindrische Aussparung angeordnet werden (rot umrandet). Allerdings darf diese aus Stabililätsgriunden die eingezeichneten Grenzlinien (griun) nicht überschreiten. Wie viel Material spart man, wenn die Aussparung einen vorgegebenen Durchmesser von 4 cm erhält? c) Die Aussparung aus Aufgabenteil b) soll optimiert werden, d.h. sie soll ein möglichst großes Volumen haben. Wie groß muß ihr Durchmesser gewählt werden? Wie viel Material spart die optimale Aussparung?

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Problem 2535

6. A conductor 25 cm long carries a current of 50.0 A . It is placed in a magnetic field of strength 49 T . Determine the force exerted on the conductor when it makes each of the following angles with the magnetic lines of force ( 3 marks) a) $0^{\circ}$ b) $45^{\circ}$ c) $90^{\circ}$

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Problem 2536

Question 20 of 23 This test: 23 point(s) possible This question: 1 point(s) possible
Solve the right triangle with $\mathrm{B}=55.4^{\circ}$ and $\mathrm{c}=27.2$ . Round off the results according to the table below. \begin{tabular}{cc} \hline \begin{tabular}{c} Measurements of \\ Angle to Nearest \end{tabular} & \begin{tabular}{c} Accuracy of \\ Trigonometric \\ Function \end{tabular} \\ \hline $1^{\circ}$ & 2 significant digits \\ $0.1^{\circ}$ & 3 significant digits \\ $0.01^{\circ}$ & 4 significant digits \\ \hline \end{tabular}
Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. $A=34.6{ }^{\circ}, \mathrm{a}=11.1, \mathrm{~b}=24.8$ B. There is not enough information to solve the triangle.

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Problem 2537

In how many ways can nature select 6 students out of a class of 19 students to get the flu?
There are $\square$ ways nature can select 6 students out of a class of 19 to get the flu.

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Problem 2538

Given $h(x)=3 x+4$ , find $h(-1)$

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Problem 2539

Practice question Company Y is considering buying a machine for $\$ 100,000$ . This would result in an increase in EBIT of $\$ 25,000 / y e a r$ . It would cost $\$ 5,000$ to install the equipment, $\$ 5,000$ to train employee. Expected life is 10 years with no salvage value. Assume straight-line depreciation, tax rate $34 \%$ , required rate of return $12 \%$ . The project requires an increase in inventory of $\$ 25,000$ and liquidates at the end of year 10. Calculate OCF A. $\$ 16,500$ B. $\$ 27,500$ B. $\$ 18,500$ D. $\$ 29,500$

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Problem 2540

Evaluate $\ln (183.1)$ . Give your answer to 4 decimal places. $\ln (183.1)=$ $\square$ Question Help: Video Message instructor Calculator

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Problem 2541

Find the prime factorization of each composite number. Write your final answer using exponents.
3. 960 (5pts)

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Problem 2542

3. If $R T=36$ , find the value of $x$ .

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Problem 2543

$2 \log _{8} \sqrt{x}-\log _{8}(x-7)=\frac{1}{3}$

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Problem 2544

1. Copper metal wire has a linear density of $0.010 \mathrm{~kg} / \mathrm{m}$ . A sample of this wire is stretched horizontally in an area where the horizontal component of Earth's magnetic field of strength 0.000020 T passes through the wire at right angles. a) What current must be applied to the wire if the weight of the entire wire is supported by the mangetic force? (3 marks) b) If this current is applied, what might happen to the wire? (1 mark)

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Problem 2545

6. For an intramural league, you need to divide 24 males and 60 females into all-male and all-female teams so that each team has the same number of people. What is the largest number of people that can be placed on a team?
7. The media center at a college runs videotapes of two lectures continuously. One videotape runs for 42 minutes and a second runs for 56 minutes. Both videotapes begin at 9:00 A.M. When will the videos of the two lectures begin again at the same time?

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Problem 2546

Find the following trigonometric values. Express your answers exactly. $\begin{array}{l} \cos \left(\frac{5 \pi}{3}\right)=\square \\ \sin \left(\frac{5 \pi}{3}\right)=\square \frac{\overline{+x}}{+=\frac{x}{+}} \end{array}$

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Problem 2547

one attempt only) Question 8 of 16 This test: 100 point(s) possible This question: 5 point(s) possible
Bloom Corporation issued 60,000 shares of common stock. Bloom purchased 5,000 shares and later reissued 900 shares. How many shares are issued and outstanding?

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Problem 2548

Evaluate the expression. $4-2 \times 1 \frac{3}{4}$
Write your answer as a fraction or as a whole or mixed number. $\square$

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Problem 2549

Question Given $f(x)=4 x+1$ , find $f(-4)$ .
Answer Attempt 1 out of 2 Submit Answer

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Problem 2550

Show Examples
Solve for $x$ . Round to the nearest tenth, if necessary.
Answer Attempt 2 out of 2 $x=2.2$ Submit Answer

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Problem 2551

$\mathrm{h}=10 \mathrm{~cm} \quad \mathrm{~s}=11 \mathrm{~cm} \quad \mathrm{l}=15 \mathrm{~cm} \quad \mathrm{~b}=11 \mathrm{~cm}$ Calculate the Area of each face of the triangular prism. Then solve for the Surface Area.
Surface Area = $\square$ $\mathrm{cm}^{2}$ Submit Question

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Problem 2552

Question
Given $h(x)--4 x-3$ , find $h(2)$
Answer Attempt 1 out of 2

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Problem 2553

Question
Given $g(x)=-x-2$ , find $g(-5)$
Answer Attempt i out of 2

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Problem 2554

Evaluate the expression. $1 \frac{4}{5}+\frac{1}{4} \times 5 \frac{1}{5}$
Write your answer as a fraction or as a whole or mixed number. $\square$

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Problem 2555

Evaluate the expression. $\frac{7}{8} \times 3 \frac{1}{2} \div 1 \frac{1}{3}$
Write your answer as a fraction or as a whole or mixed number. $\square$

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Problem 2556

ANGLE-SIDE-ANGLE
PM = $\qquad$ $\sqrt{5^{2}+5} 2$ $A C=$ $\qquad$
Congruence Sta

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Problem 2557

Evaluate the expression. $\left(5 \frac{1}{4}-4\right) \times 4 \frac{1}{2}$
Write your answer as a fraction or as a

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Problem 2558

Video
A school assembly had 50 students in attendance, and $64 \%$ of them were first-graders. How many first-graders were at the assembly? $\square$ first-graders

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Problem 2559

Evaluate. $\{5+[-5(2-4) \div 2]\} \cdot 4$ $-15$ $-13$ 25 40

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Problem 2560

1. What is the solution to the inequality $-58 \geq 23+1.8 x$ ? A. $19.4 \geq x$ B. $19.4 \leq x$ $\begin{array}{l} -45 \geq x \\ -45 \leq x \end{array}$

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Problem 2561

What is the mass of an object that moves with an acceleration of 10 $\mathrm{m} / \mathrm{s} / \mathrm{s}$ from a force of 150 N ? 15 kg 25 kg 140 kg 1500 kg

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Problem 2562

$\frac{1}{3}$ times the sum of a number and 2.6 is 4.9 . What is the number? Enter your answer as a simplified mixed number in the box.
The number is $\square$

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Problem 2563

59 min
A worker makes $\$ 24 /$ hour and works a 40 -hour week. The employer withholds $\$ 83$ federal tax, $\$ 74$ FICA, and $\$ 41$ state tax. What is the worker's takehome pay? $\$ 762$ $\$ 803$ $\$ 845$ $\$ 960$

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Problem 2564

The figure shows a 1275-yard-long sand beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is $80^{\circ}$ and from the other end is $75^{\circ}$ . Find the distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
The platform is about $\square$ yards from one end of the beach and $\square$ yards from the other. (Use descending order. Round to the nearest tenth as needed.)

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Problem 2565

Write the coordinates of the vertices after a rotation $270^{\circ}$ counterclockwise around the origin. $s^{\prime}(I$ , $\square$ $\square$ ) $T^{\prime}($ $\square$ , ) $\square$ $u^{\prime}$ , $\square$ ) $\square$

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Problem 2566

Chase Cavan HW Score: $67.11 \%, 25.5$ of 38 Question 29, 5.5.19 points Part 1 of 3 Points: 0 of 1 Save
Two triangles can be formed using the given measurements. The other measurements of the triangle in which angle $B$ is acute are also given. Solve the triangle in which angle $B$ is obtuse. $A=42^{\circ} \quad a=8 \quad b=11$
For the first triangle, the angle $B$ is $66.9^{\circ}$ , the measure of angle $C$ is $71.1^{\circ}$ , and the length of side C is 11.3 . Now consider the second triangle. The measure of angle $B$ is $\square^{\circ}$ . (Round to the nearest tenth as needed.)

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Problem 2567

Evaluate the limit, using L'Hôpital's Rule. Enter INF for $\infty$ , -INF for $-\infty$ , or DNE if the limit does not exist, but is neither $\infty$ nor $-\infty$ . $\lim _{x \rightarrow 0^{+}} 15 x \ln x=$ $\square$ Preview My Answers Submit Answers

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Problem 2568

Find the first four terms of the sequence given by the following. $a_{n}=\frac{2^{n}}{3^{n}+2}, n=1,2,3, \ldots$

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Problem 2569

Probabilidad básica Instrucciones: Responda las preguntas siguientes. Escriba su respuesta como decimal redondeado al centésimo más próximo.
1. Se sabe que un envío de 500 monitores para computadora contiene 10 monitores con defectos. Si se elige un monitor al azar, ¿qué probabilidad existe de que ese monitor sea defectuoso?
2. Un club de una escuela superior tiene 10 miembros del último año y 8 miembros de tercer año. Si se elige un miembro al azar para el cargo de presidente, ¿cuál es la probabilidad de que esa persona NO sea uno de los miembros del último año?
3. En un juego, se retira un naipe de una baraja que contiene naipes de color rojo, verde y azul. Si se retira un naipe azul, el jugador puede avanzar a la casilla siguiente. La baraja contiene 100 naipes, de los cuales 30 son rojos, 15 son azules y 55 son verdes. Si un jugador retira un naipe al azar, ¿qué probabilidad existe de que ese jugador avance a la casilla siguiente?

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Problem 2570

Find the first four terms of the sequence given by the following. $a_{n}=4(3)^{n-1}, n=1,2,3 \ldots$ १.०.०.

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Problem 2571

Question
In parallelogram $M N P Q$ if $M P=12$ find $M R$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 2572

Mathematics
Question 1 of 5
If $3^{m}=1$ , which of the following is a possible value of $m$ ? A. -1 B. 0 C. 1 D. 2 E. 3

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Problem 2573

5) $m \angle A=64^{\circ}, m \angle B=98^{\circ}, a=29 \mathrm{mi}$ Find $b$

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Problem 2574

The total, $T$ , of the interior angles of a polygon with $n$ sides is given by $T=180^{\circ} \times(n-2)$
Calculate the total of the interior angles of this heptagon. Watch video

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Problem 2575

6) $m \angle A=57^{\circ}, c=35 \mathrm{~cm}, a=33 \mathrm{~cm}$ Find $b$

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Problem 2576

I'm sorry, but I need more information to accurately rewrite the problem in LaTeX format. Could you provide additional details or context about the geometry problem involving the angle $\angle RUS$ ?

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Problem 2577

In $\triangle T R S, m \angle S=118^{\circ}, s=16 \mathrm{ft}, r=5 \mathrm{ft}$ Find $m \angle R$

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Problem 2578

1. Determine the value of $(f \circ g)(2)$ if $f(x)=-5 x+1 \text { and } g(x)=x^{2}-2 x+1$ 100 $-44$ $-4$ 36 Clear All

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Problem 2579

In $\triangle K H P, m \angle K=27^{\circ}, p=35 \mathrm{~m}, k=18 \mathrm{~m}$ Find $m \angle P$

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Problem 2580

Determine the value of $y$ , if $x$ is 16 . $y=\sqrt{x}-11$
Answer Attempt 1 out of 3 $y=$ $\square$ Submit Answer

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Problem 2581

Solve each equation. Write your answer as a logarithm and find the decimal approximation. $10^{(-x-1)}=375$
Enter your answers in the boxes below. Э
Logarithm: $x=$ $\square$
Decimal approximation: $\square$

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Problem 2582

Question Given $f(x)=-x^{2}$ , find $f(-2)$
Answer Attempt 1 out of ${ }_{2}$

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Problem 2583

Solve each equation. Write your answer as a logarithm and find the decimal approximation. $5\left(10^{x+2}\right)=25$
Enter your answers in the boxes below.
Logarithm: $x=$ $\square$ Math Sy
Decimal approximation: $\square$

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Problem 2584

1.) $m<A=31^{\circ} c=20 \mathrm{mi}, a=16 \mathrm{mi}$

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Problem 2585

$\text{Factor the following trinomials:}$ $1. \quad 7x^2 + 37x + 10$ $2. \quad 4x^2 - 22x + 10$ $3. \quad 4x^2 - 28x + 48$

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Problem 2586

Question 33
Find the distance between $X(-3,8)$ and $Z(-5,1)$ . Round to the nearest tenth, if necessary. $\square$ units

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Problem 2587

Find the value of $c$ and $Y Z$ if $Y$ is between $X$ and $Z$ . $\begin{array}{l} X Y=11, Y Z=4 c, X Z=83 \\ c= \end{array}$ $\square$ $Y Z=$ $\square$

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Problem 2588

Complete the table. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ $f(x)=x+1$ } \\ \hline $x$ & $f(x)$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline 3 & $\square$ \\ \hline 4 & $\square$ \\ \hline \end{tabular}

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Problem 2589

What is the GCF of 8 and $24 ?$ A 4 C 12 B 8 D 16

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Problem 2590

Evaluate. $\{3+[-5(2-4) \div 2]\} \cdot 3$ $-27$ $-13$ 18 24

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Problem 2591

Last Saturday, Flavia walked her dog $1 \frac{2}{5}$ miles. Shazell walked her dog 5 times as far. How many miles total did both girls walk their dogs? A $6 \frac{2}{5}$ B 7 C $8 \frac{2}{5}$ A B C

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Problem 2592

Find the area of $\triangle RPQ$ given that $p = 18 \, \text{mi}$ , $m \angle R = 17^\circ$ , and $q = 28 \, \text{mi}$ .

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Problem 2593

Story Problem The sum of two numbers is -22 . The difference of the two numbers is 8 . What are the two numbers?
Let Statements $=-7$ $=-15$ Rewrite the system so like terms are aligned.
Multiply, if necessary, to make elimination possible.
Determine which variable you will elliminate. $y$ Combine the equations and solve for the other variable.
Substitute to solve for the Write the solution. eliminated variable.

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Problem 2594

NYA Module 5: Problem 3 (1 point)
You say goodbye to your friend at the intersection of two perpendicular roads. At time $t=0$ you drive off North at a (constant) speed $v$ and your friend drives West at a (constant) speed $w$ , You badly want to know: how fast is the distance between you and your friend increasing at time $t$ ?
Enter here the derivative with respect to $t$ of the distance between you and your friend: $\square$ Note: the next part will be MUCH easier if you simplify your answer to this part as much as possible.
Being scientifically minded you ask yourself how does the speed of separation change with time. In other words, what is the second derivative of the distance between you and your friend? $\square$ Suppose that after your friend takes off (at time $t=0$ ) you linger for an hour to contemplate the spot on which he or she was standing. After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time $t$ (greater than one hour)? $\square$ Again you ask what is the second derivative of your separation: $\square$ Notice how lingering can make things harder, mathematically speaking.
Note: You can earn partial credit on this problem.

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Problem 2595

1. De un grupo de alumnos compuesto por 10 alumnos de tercer grado y 8 de cuarto grado, se seleccionarán a dos alumnos para ser líderes por un día. Si el primer alumno seleccionado es de cuarto grado, ¿cuál es la probabilidad de que el segundo alumno seleccionado sea de tercer grado?
2. En un hospital, sobre una plantilla de 10 médicos, 3 están de guardia el sábado, 4 el domingo y 2 los dos días. Si se selecciona al azar a uno de los médicos, ¿qué probabilidad existe de que ese médico esté de quardia un sábado o un domingo?

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Problem 2596

4) Find BC

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Problem 2597

$\begin{array}{rll} & x_{1}^{\prime}=3 x_{1}-2 x_{2}, & x_{1}(0)=3 \\ & x_{2}^{\prime}=2 x_{1}-2 x_{2}, & x_{2}(0)=\frac{1}{2}\end{array}$

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Problem 2598

Evaluate the expression when $b=9$ . $b^{2}+13$

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Problem 2599

A person throws a stone into the air. The height, in feet, $h(t)$ after $t$ seconds is given by the following equation. $h(t)=-16 t^{2}+59 t+19$ a. What is the height of the stone after 3 seconds? b. When is the stone at a height of 38 feet? c. When does the stone reach the ground? a. The height of the stone after 3 seconds is $\square$ feet. b. When is the stone at a height of 38 feet? $\square$ seconds (Round to two decimal places as needed. Use a comma to separate answers as needed.) c. The stone will reach the ground in $\square$ seconds. (Round to two decimal places as needed.)

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Problem 2600

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). $(5,-9) \text { and }(8,-3)$ "Click twice to draw a line. Click a segment to erase it.* 10

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Solve

Problem 2501

f(x)=4x4f(x) = \frac{4}{\sqrt[4]{x}}f(x)=4x​4​ Encuentra la derivada de f(x) f(x) f(x).

Problem 2502

The two cones below are similar. What is the height of the larger cone? A. 5 B. 354\frac{35}{4}435​ C. 285\frac{28}{5}528​ D. 207\frac{20}{7}720​

Problem 2503

What is the value of ccc in the system below? −2a+3b+2c=72a+3b=295a=20\begin{array}{l} -2 a+3 b+2 c=7 \\ 2 a+3 b=29 \\ 5 a=20 \end{array}−2a+3b+2c=72a+3b=295a=20​

Problem 2504

12x=4x+312^{x}=4^{x+3}12x=4x+3

Problem 2505

Calculate the Capital Intensity Ratio given the following information: Asset =1.5M=1.5 \mathrm{M}=1.5M Sales =3M=3 \mathrm{M}=3M Income =0.5M=0.5 \mathrm{M}=0.5M CapEx = 1 M Debt =.5M=.5 \mathrm{M}=.5M Equity = 1 M

Problem 2506

Problem 2507

Which of the following is closest to the number of minutes it would take a ship to travel 90 miles at a constant speed of 20 miles per hour? A. 13 B. 22 C. 70 D. 270 E. 450

Problem 2508

What will be the measure of angle 6 if angle 1 is equal to 60 ?

Problem 2509

What is the solution to log⁡2(9x)−log⁡23=3\log _{2}(9 x)-\log _{2} 3=3log2​(9x)−log2​3=3 ? x=38x=\frac{3}{8}x=83​ x=83x=\frac{8}{3}x=38​ x=3x=3x=3 x=9x=9x=9

Problem 2510

Find the derivative of the function f(x)=73x−2+5x3f(x)=\frac{73}{x^{-2}}+\frac{5}{x^{3}}f(x)=x−273​+x35​.

Problem 2511

A. 10 ค. 16 C. 24 D. 48 I. 144

Problem 2512

Consider the following pair of points. (0,−9) and (1,−1)(0,-9) \text { and }(1,-1)(0,−9) and (1,−1)Step 1 of 2: Determine the distance between the two points.Answer

Problem 2513

Do Now PracticeCalculate the slope of the line containing the points: i) (1,1)(1,1)(1,1) and (2,2)(2,2)(2,2) ii) (1, 2) and (2, 1) iii) (5,1)(5,1)(5,1) and (2,1)(2,1)(2,1)

Problem 2514

Suppose you have a 110\frac{1}{10}101​ chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of winning with all 3 ? A. 1100\frac{1}{100}1001​ B. 11000\frac{1}{1000}10001​ C. 1100,000\frac{1}{100,000}100,0001​ D. 110,000\frac{1}{10,000}10,0001​

Problem 2515

Type the correct answer in the box. The area of the region under the curve of the function f(x)=5x+7f(x)=5 x+7f(x)=5x+7 on the interval [1,b][1, b][1,b] is 88 square units, where b>1b>1b>1.The value of bbb is □\square□

Problem 2516

Suppose AAA and BBB are independent events. If P(A)=0.4P(A)=0.4P(A)=0.4 and P(B)=0.9P(B)=0.9P(B)=0.9, what is P(A′∩B)P\left(A^{\prime} \cap B\right)P(A′∩B) ? A. 0.04 B. 0.36 C. 0.06 D. 0.54

Problem 2517

Problem 2518

Problem 2519

click here to watch the video. The measure of angle BBB is 39∘39^{\circ}39∘. Find the measure of angle HHH.Enter your answer in degrees. □\square□

Problem 2520

效， Find m∠Im \angle Im∠I.

Problem 2521

Watch the video and then solve the problem given below. Click here to watch the video. Find the area of a parallelogram with a base of 12 inches and height of 8 inches.Enter the answer in square inches. □\square□ square inches

Problem 2522

Find the sum of the measures of the angles of a ten-sided polygon.

Problem 2523

Solve for vvv. 74v−85=−23\frac{7}{4} v-\frac{8}{5}=-\frac{2}{3}47​v−58​=−32​Simplify your answer as much as possible. v=v=v=

Problem 2524

Find the measure of the complement and the supplement of 85∘85^{\circ}85∘.What is the measure of the complement of 85∘85^{\circ}85∘ ? □\square□ What is the measure of the supplement of 85∘85^{\circ}85∘ ? □\square□

Problem 2525

2 atson, MizhaneWhat is the equation of the line that passes through the point (−2,7)(-2,7)(−2,7) and has a slope of zero? (A) x=7x=7x=7 (B) y=−2y=-2y=−2 (C) x=−2x=-2x=−2 (D) y=7y=7y=7

Problem 2526

Find the measure of angle A for the triangle shown.

Problem 2527

and a height of 4 inches. At most, how many pyramids can the artiet make from the block of slabaster? A. 136 B. 144 C. 154 D. 166 E. 172 Reset Noxts

Problem 2528

20. A tailor has 20 yards of shirt fabric. How many shirts can she complete if each shirt requires 2342 \frac{3}{4}243​ yards of fabric? A. 6 B. 7 C. 8 D. 10

Problem 2529

Find the conjugate then determine in a + bi form the solution to (5−i)(5+i)\frac{(5-i)}{(5+i)}(5+i)(5−i)​ (5−1)/23(5-1) / 23(5−1)/23 (13−5i)/13(13-5 i) / 13(13−5i)/13 (5+i)/13(5+i) / 13(5+i)/13 (5−3i)/13(5-3 i) / 13(5−3i)/13 (1−i)/10(1-i) / 10(1−i)/10

Problem 2530

Divide 5 by 2\sqrt{ } 2​2. 2.5 10 5/25 / \sqrt{2}5/2​ 10\sqrt{ } 10​10

Problem 2531

Problem 2532

Solve the following system of equations graphically on the set of axes below. y=−32x−8x−2y=8\begin{array}{c} y=-\frac{3}{2} x-8 \\ x-2 y=8 \end{array}y=−23​x−8x−2y=8​Plot two lines by clicking the graph. Click a line to delete it.

Problem 2533

ELIMINATION y=3x−1y+x=3\begin{array}{l} y=3 x-1 \\ y+x=3 \end{array}y=3x−1y+x=3​

Problem 2534

Problem 2535

Problem 2536

Problem 2537

In how many ways can nature select 6 students out of a class of 19 students to get the flu?There are □\square□ ways nature can select 6 students out of a class of 19 to get the flu.

Problem 2538

Given h(x)=3x+4h(x)=3 x+4h(x)=3x+4, find h(−1)h(-1)h(−1)

Problem 2539

Problem 2540

Evaluate ln⁡(183.1)\ln (183.1)ln(183.1). Give your answer to 4 decimal places. ln⁡(183.1)=\ln (183.1)=ln(183.1)= □\square□ Question Help: Video Message instructor Calculator

Problem 2541

Find the prime factorization of each composite number. Write your final answer using exponents.3. 960 (5pts)

Problem 2542

3. If RT=36R T=36RT=36, find the value of xxx.

Problem 2543

2log⁡8x−log⁡8(x−7)=132 \log _{8} \sqrt{x}-\log _{8}(x-7)=\frac{1}{3}2log8​x​−log8​(x−7)=31​

Problem 2544

$f(x) = \frac{4}{\sqrt[4]{x}}$ Encuentra la derivada de $f(x)$ .

The two cones below are similar. What is the height of the larger cone? A. 5 B. $\frac{35}{4}$ C. $\frac{28}{5}$ D. $\frac{20}{7}$

What is the value of $c$ in the system below? $\begin{array}{l} -2 a+3 b+2 c=7 \\ 2 a+3 b=29 \\ 5 a=20 \end{array}$

$12^{x}=4^{x+3}$

Calculate the Capital Intensity Ratio given the following information: Asset $=1.5 \mathrm{M}$ Sales $=3 \mathrm{M}$ Income $=0.5 \mathrm{M}$ CapEx = 1 M Debt $=.5 \mathrm{M}$ Equity = 1 M

What is the solution to $\log _{2}(9 x)-\log _{2} 3=3$ ? $x=\frac{3}{8}$ $x=\frac{8}{3}$ $x=3$ $x=9$

Find the derivative of the function $f(x)=\frac{73}{x^{-2}}+\frac{5}{x^{3}}$ .

Consider the following pair of points. $(0,-9) \text { and }(1,-1)$
Step 1 of 2: Determine the distance between the two points.
Answer

Do Now Practice
Calculate the slope of the line containing the points: i) $(1,1)$ and $(2,2)$ ii) (1, 2) and (2, 1) iii) $(5,1)$ and $(2,1)$

Suppose you have a $\frac{1}{10}$ chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of winning with all 3 ? A. $\frac{1}{100}$ B. $\frac{1}{1000}$ C. $\frac{1}{100,000}$ D. $\frac{1}{10,000}$

Type the correct answer in the box. The area of the region under the curve of the function $f(x)=5 x+7$ on the interval $[1, b]$ is 88 square units, where $b>1$ .
The value of $b$ is $\square$

Suppose $A$ and $B$ are independent events. If $P(A)=0.4$ and $P(B)=0.9$ , what is $P\left(A^{\prime} \cap B\right)$ ? A. 0.04 B. 0.36 C. 0.06 D. 0.54

click here to watch the video. The measure of angle $B$ is $39^{\circ}$ . Find the measure of angle $H$ .
Enter your answer in degrees. $\square$

效， Find $m \angle I$ .

Watch the video and then solve the problem given below. Click here to watch the video. Find the area of a parallelogram with a base of 12 inches and height of 8 inches.
Enter the answer in square inches. $\square$ square inches

Solve for $v$ . $\frac{7}{4} v-\frac{8}{5}=-\frac{2}{3}$
Simplify your answer as much as possible. $v=$

Find the measure of the complement and the supplement of $85^{\circ}$ .
What is the measure of the complement of $85^{\circ}$ ? $\square$ What is the measure of the supplement of $85^{\circ}$ ? $\square$

2 atson, Mizhane
What is the equation of the line that passes through the point $(-2,7)$ and has a slope of zero? (A) $x=7$ (B) $y=-2$ (C) $x=-2$ (D) $y=7$

20. A tailor has 20 yards of shirt fabric. How many shirts can she complete if each shirt requires $2 \frac{3}{4}$ yards of fabric? A. 6 B. 7 C. 8 D. 10

Find the conjugate then determine in a + bi form the solution to $\frac{(5-i)}{(5+i)}$ $(5-1) / 23$ $(13-5 i) / 13$ $(5+i) / 13$ $(5-3 i) / 13$ $(1-i) / 10$

Divide 5 by $\sqrt{ } 2$ . 2.5 10 $5 / \sqrt{2}$ $\sqrt{ } 10$

Solve the following system of equations graphically on the set of axes below. $\begin{array}{c} y=-\frac{3}{2} x-8 \\ x-2 y=8 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

ELIMINATION $\begin{array}{l} y=3 x-1 \\ y+x=3 \end{array}$

In how many ways can nature select 6 students out of a class of 19 students to get the flu?
There are $\square$ ways nature can select 6 students out of a class of 19 to get the flu.

Given $h(x)=3 x+4$ , find $h(-1)$

Evaluate $\ln (183.1)$ . Give your answer to 4 decimal places. $\ln (183.1)=$ $\square$ Question Help: Video Message instructor Calculator

Find the prime factorization of each composite number. Write your final answer using exponents.
3. 960 (5pts)

3. If $R T=36$ , find the value of $x$ .

$2 \log _{8} \sqrt{x}-\log _{8}(x-7)=\frac{1}{3}$

one attempt only) Question 8 of 16 This test: 100 point(s) possible This question: 5 point(s) possible
Bloom Corporation issued 60,000 shares of common stock. Bloom purchased 5,000 shares and later reissued 900 shares. How many shares are issued and outstanding?

Evaluate the expression. $4-2 \times 1 \frac{3}{4}$
Write your answer as a fraction or as a whole or mixed number. $\square$

Question Given $f(x)=4 x+1$ , find $f(-4)$ .
Answer Attempt 1 out of 2 Submit Answer

Show Examples
Solve for $x$ . Round to the nearest tenth, if necessary.
Answer Attempt 2 out of 2 $x=2.2$ Submit Answer

Question
Given $h(x)--4 x-3$ , find $h(2)$
Answer Attempt 1 out of 2

Question
Given $g(x)=-x-2$ , find $g(-5)$
Answer Attempt i out of 2

Evaluate the expression. $1 \frac{4}{5}+\frac{1}{4} \times 5 \frac{1}{5}$
Write your answer as a fraction or as a whole or mixed number. $\square$

Evaluate the expression. $\frac{7}{8} \times 3 \frac{1}{2} \div 1 \frac{1}{3}$
Write your answer as a fraction or as a whole or mixed number. $\square$

ANGLE-SIDE-ANGLE
PM = $\qquad$ $\sqrt{5^{2}+5} 2$ $A C=$ $\qquad$
Congruence Sta

Evaluate the expression. $\left(5 \frac{1}{4}-4\right) \times 4 \frac{1}{2}$
Write your answer as a fraction or as a

Video
A school assembly had 50 students in attendance, and $64 \%$ of them were first-graders. How many first-graders were at the assembly? $\square$ first-graders

Evaluate. $\{5+[-5(2-4) \div 2]\} \cdot 4$ $-15$ $-13$ 25 40

1. What is the solution to the inequality $-58 \geq 23+1.8 x$ ? A. $19.4 \geq x$ B. $19.4 \leq x$ $\begin{array}{l} -45 \geq x \\ -45 \leq x \end{array}$

What is the mass of an object that moves with an acceleration of 10 $\mathrm{m} / \mathrm{s} / \mathrm{s}$ from a force of 150 N ? 15 kg 25 kg 140 kg 1500 kg

$\frac{1}{3}$ times the sum of a number and 2.6 is 4.9 . What is the number? Enter your answer as a simplified mixed number in the box.
The number is $\square$

59 min
A worker makes $\$ 24 /$ hour and works a 40 -hour week. The employer withholds $\$ 83$ federal tax, $\$ 74$ FICA, and $\$ 41$ state tax. What is the worker's takehome pay? $\$ 762$ $\$ 803$ $\$ 845$ $\$ 960$

Write the coordinates of the vertices after a rotation $270^{\circ}$ counterclockwise around the origin. $s^{\prime}(I$ , $\square$ $\square$ ) $T^{\prime}($ $\square$ , ) $\square$ $u^{\prime}$ , $\square$ ) $\square$

Find the first four terms of the sequence given by the following. $a_{n}=\frac{2^{n}}{3^{n}+2}, n=1,2,3, \ldots$

Find the first four terms of the sequence given by the following. $a_{n}=4(3)^{n-1}, n=1,2,3 \ldots$ १.०.०.

Question
In parallelogram $M N P Q$ if $M P=12$ find $M R$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

Mathematics
Question 1 of 5
If $3^{m}=1$ , which of the following is a possible value of $m$ ? A. -1 B. 0 C. 1 D. 2 E. 3

5) $m \angle A=64^{\circ}, m \angle B=98^{\circ}, a=29 \mathrm{mi}$ Find $b$

The total, $T$ , of the interior angles of a polygon with $n$ sides is given by $T=180^{\circ} \times(n-2)$
Calculate the total of the interior angles of this heptagon. Watch video