Browse Math problems Studdy Solved!

Problem 56301

Calculate: $5(20-12) \div 4$

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Problem 56302

Ms. Blankenship had \$80 and bought 32 glue sticks at \$1.40 each and 32 boxes of crayons at \$0.59 each. How much is left?

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Problem 56303

Frank earns \$3,500/month and spends \$1,700 on expenses. Where does this amount fit in his financial plan? Choose 1 answer: (A) investment plan (B) savings plan (C) debt repayment plan (D) budget

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Problem 56304

Divide 968 by 38. What is the result?

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Problem 56305

Solve the equation $\frac{d y}{d x}=-4(1+y^{2}) x^{7}$ using separation of variables. Let $C$ be the constant. $y=$

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Problem 56306

Find the value of $26.95 \div -5 \frac{1}{2}$ .

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Problem 56307

What is the total amount Fatima paid for 5 pallets of grass at \$129.95 each plus \$76.20 for delivery?

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Problem 56308

Analyze the function $R(x)=\frac{x^{4}+x^{2}+5}{x^{2}-9}$ .
A. Domain options:
1. $\{x \mid x \neq 3$ and $x \neq-3\}$
2. $\{x \mid x \neq 0\}$
3. $\{x \mid x \neq 0$ and $x \neq 3$ and $x \neq-3\}$
4. All real numbers
B. Vertical asymptote:
1. $x=3,-3$
2. No vertical asymptote.
C. Horizontal/oblique asymptote:
1. $y=$
2. No horizontal or oblique asymptote.

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Problem 56309

Solve the equation $(10+x^{4}) \frac{dy}{dx}=\frac{x^{3}}{y}$ using separation of variables. Find $y^{2}=$ .

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Problem 56310

Convert a speed of 5.8 mi/h to ft/s using the conversion factors: 1 h = 15 min, 1 mi = 5280 ft, 1 min = 60 s.

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Problem 56311

42 people had breakfast. If $\frac{1}{7}$ ate eggs only and $\frac{2}{3}$ ate both, how many had pancakes only?

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Problem 56312

A game show contestant starts with 7 points, gains 4 points, then loses 15 points. What is his final score?

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Problem 56313

A bike wheel is 26 inches in diameter. Convert this to millimeters using $1$ inch $=25.4$ mm.

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Problem 56314

Solve the equation $e^{-y} \sin (x)+\frac{d y}{d x}=0$ using separation of variables. Find $y=C$ .

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Problem 56315

Solve the initial value problem using separation of variables: $\frac{d y}{d x}-x^{2} e^{y}=9 e^{y}$ , $y(0)=3$ . Find $y=$

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Problem 56316

Don ran 3 miles, stopping every $\frac{1}{2}$ mile. How many stops did he make, including the end point?

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Problem 56317

Is the function $g(x)=3 x^{2}-4^{x}+8$ a polynomial? If yes, what is its degree?

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Problem 56318

If $\angle A$ complements $\angle B$ and $m \angle A=36^{\circ}$ , find $m \angle B$ .

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Problem 56319

Marc made 3 cakes, each cut into 8 pieces. How many servings can be made with $\frac{1}{8}$ , $\frac{3}{8}$ , and $\frac{5}{8}$ of a cake?

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Problem 56320

Solve the equation $\frac{d y}{d t}=5 y$ with the initial condition $y(2)=2$ . Find $y=$

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Problem 56321

How many servings of $\frac{3}{8}$ of a cake can Marc make from 3 cakes?

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Problem 56322

How many servings of $\frac{5}{8}$ of a cake can Marc make from 3 cakes?

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Problem 56323

Analyze the function $F(x)=\frac{x^{2}-18 x-19}{x+18}$ . Find domain, vertical and horizontal asymptotes.

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Problem 56324

Find the measure of angle C if it supplements angle D, where $m \angle D = 117^{\circ}$ .

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Problem 56325

Convert 800 grams and 700 grams to pounds, rounding to 2 decimal places. Use 453.592 grams per pound.

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Problem 56326

Solve for $x$ in the equation $y=4x+rx+6$ , with $y$ and $r$ as unknown constants.

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Problem 56327

Find a number that, when added to $\frac{1}{4}$ of itself, equals 15. Solve $x+\frac{1}{4} x=15$ . What is $x$ ?

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Problem 56328

Tom ordered a pizza cut into 6 slices. If he ate $\frac{1}{2}$ of it, how many slices did he eat?

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Problem 56329

Analyze the function $F(x)=\frac{x^{2}-9 x-10}{x+6}$ :
(a) Find the domain. (b) Determine the vertical asymptote. (c) Find the horizontal or oblique asymptote.

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Problem 56330

Solve the equation $\frac{d u}{d t}=e^{3 u+4 t}$ with $u(0)=13$ . Find $u(t)$ .

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Problem 56331

Solve the inequality: $4x + 8 < 7x + 5$ .

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Problem 56332

If a pizza has $n$ slices and Tom ate $\frac{1}{3}$ of it, how many slices did he eat?

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Problem 56333

Analyze the function $F(x)=\frac{x^{2}-x-2}{x+16}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

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Problem 56334

Classify each item as I (income statement), B (balance sheet), or CF (cash flows): Assets, Cash from operations, Equipment, Expenses, Liabilities, Net cash change, Revenues, Total liabilities & equity.

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Problem 56335

Solve the equation $\frac{d y}{d x}=\frac{-0.4}{\cos (y)}$ with initial condition $y(0)=\frac{\pi}{3}$ . Find $y(x)$ .

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Problem 56336

Solve the inequality $-2 < 6 - 2x$ and graph the solution set.

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Problem 56337

Convert 50 miles per hour to miles per minute using the expression: $\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}$ . What goes in the box? Options: 6, 60, 360, 3,600.

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Problem 56338

Aneesha travels at 50 mph. Morris travels 3 ft/s less. What is Morris's speed in mph? Options: 45, 46, 47, 48.

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Problem 56339

Divide 204 m by 6 m. What is the result?

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Problem 56340

Analyze the function $F(x)=\frac{x^{2}-4 x-5}{x+9}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

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Problem 56341

Convert 12 feet to inches. Choices: 1, 24, 120, or 144 inches?

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Problem 56342

Solve the inequality $-2 < 6 - 2x$ and graph the solution set.

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Problem 56343

Analyze the function $R(x)=\frac{x^{2}+x-30}{x-6}$ . Find its domain and vertical asymptote(s).

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Problem 56344

Phelan exchanged \$250 for euros, spent 150 euros, and converted back. How much of his original \$250 remains? Round to the nearest cent. 1 euro = 1.3687 \$

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Problem 56345

Analyze the function $R(x)=\frac{x^{2}+x-30}{x-6}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

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Problem 56346

Solve the differential equation $y' = x^4 \tan(y)$ for the general solution, using the constant $\mathrm{C}$ .

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Problem 56347

Solve the inequality $-3 < 3 - 2x$ and graph the solution set.

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Problem 56348

What expression converts 80 USD to AUD using the rates: 1 USD = 1.0343 AUD, 1 AUD = 0.9668 USD?

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Problem 56349

Find the domain of the function $f(x) = x^2$ for positive real numbers $x$ .

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Problem 56350

Solve the inequality: $-3 < 1 - 2x$ .

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Problem 56351

Analyze the function $F(x)=\frac{x^{2}-4 x-5}{x+20}$ :
(a) Find the domain. (b) Identify the vertical asymptote. (c) Determine the horizontal or oblique asymptote.

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Problem 56352

Solve the equation $x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60$ . What is the solution?

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Problem 56353

Analyze the function $F(x)=\frac{x^{2}-9 x-10}{x+4}$ for its domain, vertical asymptote, and horizontal/oblique asymptote.

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Problem 56354

The answer above is NOT correct. (1 point) (Exam FM Sample Problem 122) Cash flows are 30000 at time 2 (in years), 50000 at time 3; and 10000 at time 4, The annual effective yield rate is $3.25 \%$ . Calculate the Macaulay duration.

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Problem 56355

8. $10 \frac{3}{16}$ $-1 \frac{1}{32}$
9. $3 \frac{7}{12}$ $-\frac{2}{8}$ 10. $\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}$
11. $26 \frac{3}{8}$ $-4 \frac{2}{6}$

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Problem 56356

Given that $\sin{x} = \frac{9}{4}$ and $x$ $[\frac{\pi}{2}, \pi]$ , find $\cos{x}$ . Leave the formula $\sin^2{x} + \cos^2{x} = 1$ $\cos^2{x} = 1 - \sin^2{x}$ $1 - (\frac{9}{4})^2$ $\frac{1 - \frac{65}{16}}{16}$ $\cos{x} = \pm \frac{3\sqrt{5}}{5}$ $\cos{x} = \frac{3\sqrt{5}}{5}$

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Problem 56357

(1 point) (Exam FM Sample Problem 127) A company owes 7240 and 1810 to be paid at the end of year 4 and year 9 , respectively. The company will set up an investment program to match the duration and the present value of the above obligation using an annual effective interest rate of $5.5 \%$ . The investment program produces asset cash flows of $X$ today and $Y$ in 5 years. Calculate $X$ and determine whether the investment program satisfles the conditions for Redington immunization. (a) $X=$ 1583 $\square$ (b) Does the investment have the Redington immunization?
No

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Problem 56358

A population of fish in a newly dug pond grows according to the equation $P=\frac{6000}{1+5 e^{-0.4 t}}$ where time $t$ is given in years. In how many years will there be 3000 fish in the pond? (Round your answer to two decimal places.) $\square$ years Submit Answer

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Problem 56359

Factor the trinomial.
$50 + 15x^2 + x^4$
$x^2(x^2 + 15) + 50$
Suggested tutorial: Learn ... Factor trinomials ... Your answer is incorrect
Need Help? Read It Watch It

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Problem 56360

Solve the following equation for $q$ :
$\frac{10}{q-7} = \frac{6}{q}$
$q =$
Help: If there is more than one correct answer, enter your answers as a comma separated list. If the equation has no real solution, write "No Solution."

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Problem 56361

$\pi$ . $\qquad$ $12 \frac{5}{13}$ $-3 \frac{6}{13}$ 2. $\begin{array}{r} 5 \frac{2}{7} \\ -\quad 3 \frac{4}{7} \\ \hline \end{array}$ 3. $\begin{array}{r} 16 \frac{2}{3} \\ -\quad 5 \frac{3}{4} \\ \hline \end{array}$ 4. $\begin{array}{r} 18 \frac{1}{5} \\ -2 \frac{6}{7} \\ \hline \end{array}$
5. $33 \frac{15}{18}$ $-\frac{8}{9}$
6. $41 \frac{7}{10}$ $-3 \frac{4}{5}$

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Problem 56362

Find the area of the portion of the cone $z = \sqrt{x^2 + y^2}$ that lies over the region between the circle $x^2 + y^2 = 4$ and the ellipse $64x^2 + 9y^2 = 576$ in the xy-plane. (Hint: A formula from geometry states that the area inside the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is $\pi ab$ .)
The area of the region is ______ units squared. (Type an exact answer, using $\pi$ as needed.)

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Problem 56363

Previous Problem Problem List Next Problem (1 point) (Exam FM Sample Problem 199) Miaoqi and Nui entered into a six year interest rate swap on May 5, 2015. The notional amount of the swap was a level 30000 for all six years. The swap has annual settlement periods with the first period starting on May 5, 2015. Under the swap, Miaoqi agreed to pay a variable rate based on the one year spot rate at the beginning of each settlement period. Nui will pay Miaoqi the fixed rate of $7.6 \%$ on each settlement date. On May 5, 2017, the spot interest rate curve was as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline Time & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Spot Rate $6.5 \%$ & $7 \%$ & $7.5 \%$ & $7.75 \%$ & $8.25 \%$ & $8.5 \%$ \\ \hline \end{tabular}
Miaoqi decides that she wants to sell the swap on May 5, 2017. Calculate the market value of the swap on May 5, 2017, from Miaoqids position in the swap.

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Problem 56364

Previous Problem Problem List Next Problem (1 point) (Exam FM Sample Problem 199) Miaoqi and Nui entered into a six year interest rate swap on May 5, 2015. The notional amount of the swap was a level 30000 for all six years. The swap has annual settlement periods with the first period starting on May 5, 2015. Under the swap, Miaoqi agreed to pay a variable rate based on the one year spot rate at the beginning of each settlement period. Nui will pay Miaoqi the fixed rate of $7.6 \%$ on each settlement date. On May 5, 2017, the spot interest rate curve was as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline Time & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Spot Rate $6.5 \%$ & $7 \%$ & $7.5 \%$ & $7.75 \%$ & $8.25 \%$ & $8.5 \%$ \\ \hline \end{tabular}
Miaoqi decides that she wants to sell the swap on May 5, 2017. Calculate the market value of the swap on May 5, 2017, from Miaoqids position in the swap.

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Problem 56365

In Exercises 1-8, describe how the graph of $y=x^{2}$ can be transformed to the graph of the given equation.
1. $y=x^{2}-3$
2. $y=x^{2}+5.2$
3. $y=(x+4)^{2}$
4. $y=(x-3)^{2}$
5. $y=(100-x)^{2}$
6. $y=x^{2}-100$
7. $y=(x-1)^{2}+3$
8. $y=(x+50)^{2}-279$

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Problem 56366

Choose 1 answer: A The order of amino acids in a protein affects its shape, b function. B Proteins carry out a single function in the cell. C The ways proteins function in the cell help determine an organism's traits.

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Problem 56367

In Exercises 13-16, describe how the graph of $y=x^{3}$ can be transformed to the graph of the given equation.
13. $y=2 x^{3}$
14. $y=(2 x)^{3}$
15. $y=(0.2 x)^{3}$
16. $y=0.3 x^{3}$

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Problem 56368

Which statement about the relationship between genes and proteins is true? Choose 1 answer: A The order of nucleotides in a protein determines the order of amino acids in a gene. B The order of nucleotides in a gene determines the order of amino acids in a protein.

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Problem 56369

What network of northern whites and free African Americans who sympathized with runaway slaves, did southern slave holders fear the influence of?
The Underground Railroad The National Freedom Alliance The Social Network The Northern Abolition Network

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Problem 56370

Integrate the function $H(x,y,z) = x^2 \sqrt{17 - 8z}$ over the parabolic dome $z = 2 - 2x^2 - 2y^2$ , $z \ge 0$ .
$\iint\limits_S H(x,y,z) \, d\sigma = \square$
(Type an exact answer, using $\pi$ as needed.)

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Problem 56371

Integrate $G(x,y,z) = z - x$ over the portion of the graph of $z = x + y^2$ that lies above the triangle in the xy-plane having vertices $(0,0,0)$ , $(4,1,0)$ , and $(0,1,0)$ .
Evaluate the integral.
$\iint_S G(x,y,z) \, d\sigma = \boxed{\vphantom{0}}$ (Type an exact answer, using radicals as needed.)

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Problem 56372

Use a parameterization to find the flux $\iint\limits_S \mathbf{F} \cdot \mathbf{n} \, d\sigma$ of $\mathbf{F} = xy \mathbf{i} - 5z \mathbf{k}$ outward (normal away from the z-axis) through the cone $z = 6\sqrt{x^2 + y^2}$ , $0 \le z \le 6$ .
The flux is $\boxed{\phantom{0}}$ . (Type an exact answer, using $\pi$ as needed.)

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Problem 56373

Find the surface integral of the field $F(x,y,z) = 4y\mathbf{i} - 4x\mathbf{j} + \mathbf{k}$ across the portion of the sphere $x^2 + y^2 + z^2 = a^2$ in the first octant in the direction away from the origin.
The value of the surface integral is ▢. (Type an exact answer, using $\pi$ as needed.)

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Problem 56374

The deflection of a cantilevered beam supporting the weight of an advertising sign is given by $y=\frac{-W x^{2}}{6 E}(3 L-x),$ where we have the following $y=$ deflection at a given $x$ location ( m ) $w=$ weight of the sign ( N ) $E=$ modulus of elastiaty $\left(\mathrm{N} / \mathrm{m}^{2}\right)$ $I=$ second moment of area $\left(\mathrm{m}^{4}\right)$ $x=$ distance from the support as shown (m) $L=$ length of the beam (m)
Piot the deflection of a beam with a length of 3 m , the modulus of elasticity of $E=200 \mathrm{GPa}$ , and $I=1.2 \times 10^{6} \mathrm{~mm}^{4}$ for a sign weighing $1,500 \mathrm{~N}$ . (Submit a file with a maximum size of 1 MB.) Choose File, mo file choser $1.000$
Score: 1743 out of 1.6 e Cominert
What is the siope of the defiection of the beam at the wall $(x=0)$ and at the end of the beam where it supports the sign $(x=L)$ ? slope at $x=0$ slope at $x=1$ $\square$ our answer connut be unsenstood or praded. More Information vour arculer carami be underscoad or graded More Information

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Problem 56375

Let $S$ be the portion of the cylinder $y = e^x$ in the first octant that projects parallel to the x-axis onto the rectangle $R_{yz}$ : $1 \le y \le 4$ , $0 \le z \le 3$ in the yz-plane (see the accompanying figure). Let $\mathbf{n}$ be the unit vector normal to $S$ that points away from the yz-plane. Find the flux of the field $\mathbf{F}(x,y,z) = \mathbf{i} - 3y\mathbf{j} + 2z\mathbf{k}$ across $S$ in the direction of $\mathbf{n}$ .
The flux is $\boxed{\phantom{00}}$ . (Type an exact answer.)

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Problem 56376

$y = x + 4$ Complete the table and select the graph that shows this relationship.

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Problem 56377

A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.23 centimeters in diameter. The variance of the bolts should be 0.015 . A random sample of 29 bolts has an average diameter of 0.22 cm with a standard deviation of 0.0742 . Can the manufacturer conclude that the bolts vary from the required variance at $\alpha=0.05$ level?
Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.
Answer 2 Points Tables Keypad Keyboard Shortcuts $\begin{array}{l} H_{0}: \square \\ H_{a}: \square \end{array}$

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Problem 56378

$\left(0.4 k^{3}-2.5 k\right)-\left(2.4 k^{3}+3 k^{2}-1.2 k\right)=$ $-2.8 k^{3}-3 k^{2}-3.7 k$ $-2.8 k^{3}+3 k^{2}-1.3 k$ $-2 k^{3}-3 k^{2}-1.3 k$ $-2 k^{3}+3 k^{2}-3.7 k$

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Problem 56379

Balance this equation: $-\mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{~s})+\_\mathrm{HF}(\ell) \rightarrow-\mathrm{BF}_{3}(\mathrm{~s})+\ldots \mathrm{H}_{2} \mathrm{O}(\ell)$
Though you would not normally do so, enter the coefficient of "1" if needed. $\square$ $\mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{~s})$ $\square$ HF( $\ell$ ) $\square$ $\mathrm{BF}_{3}(\mathrm{~s})$ $\square$ $\mathrm{H}_{2} \mathrm{O}(\ell)$

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Problem 56380

omework Question 8, 9.1.51 Part 2 of 4
Write the terms for the series. Evaluate the sum, given that $x_{1}=-2, x_{2}=-1, x_{3}=0, x_{4}=1$ , and $x_{5}=2$ . $\sum_{i=1}^{3}\left(2 x_{i}-x_{i}{ }^{2}\right)$
The first term is -8 The second term is $\square$

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Problem 56381

History Bookmarks Profiles Tab Window Help BG-249 Wishlist - E Christams scuffers.co dgenuity com/player/
Addition and Subtraction of Polynomials (S Assignment Active
Interpreting the Closure Property
Explain what the following statement means: Polynomials are closed under the operations of addition and subtraction. Provide one addition example and one subtraction example to demonstrate. DONE

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Problem 56382

$\$ 1,050$ will be deposited at the beginning of every 3 months for the next 6 years and 9 months. If interest is $8.82 \%$ compounded monthly, 1) How much will be in the account at maturity? \\square $2) How much of the maturity value is interest?$ \square$ Submit Question

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Problem 56383

Which sign makes the statement true?
$|{-98}|$ ? $|{-38}|$
> < = Submit

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Problem 56384

Use the exponential decay model, $A=A_{0} e^{k t}$ , to solve the following. The half-life of a certain substance is 17 years. How long will it take for a sample of this substance to decay to $77 \%$ of its original amount?
It will take approximately $\square$ $\square$ for the sample of the substance to decay to $77 \%$ of its original ar (Round the final answer to on values to four decimal places Round all intermediate percent percent per year years

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Problem 56385

Compute the differential $dy$ for $y = 8x^8 + 10x^3$ .
$dy =$

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Problem 56386

Elle a plusieurs options pour exploiter une partie de sa terre.
Elle débute avec une parcelle rectangulaire dont la base est de 3 dam de longueur et de 1 dam de largeur. Elle s'interroge sur des aménagements possibles.
Elle procédera par étape. À la première étape, la longueur de la parcelle augmentera de 2 dam et la largeur de 3 dam.
a) Le tableau suivant met en relation la longueur de la parcelle en fonction de l'étape. Complète les informations manquantes.
Étape (n) | Longueur du rectangle (L(n)) ------- | -------- 1 | 3 2 | 5 3 | 7 4 | 9 5 | 11 6 | 13 7 | 8 |
Préparé par Stéphane Gauthier adaptée d'une tâche de l'IB C:\Users\stgauthier\OneDrive - Centre de services scolaire de Laval\3. Documents 2024-2025\3. Fonctions quadratiques et racines carrées
Mathématiques : technico-sciences B-CD1
b) Décris en mots, deux modèles pour $L(n)$ .
Note : quelqu'un qui n'a pas accès à la table de valeurs devrait être en mesure de la reconstruire parfaitement.

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Problem 56387

. 3 Homework Question 4, 9.3.27
Use the formula for $S_{n}$ to find the sum of the first five terms of the geometric sequence. $12,-4, \frac{4}{3},-\frac{4}{9}, \ldots$
The sum of the first five terms is $\square$ (Simplify your answer. Type an integer or a fraction.)

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Problem 56388

Find all zeros of $f(x) = x^3 - 4x^2 + 3x + 2$ . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

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Problem 56389

Let $S$ be the cylinder $x^2 + y^2 = a^2$ , $0 \le z \le h$ , together with its top, $x^2 + y^2 \le a^2$ , $z = h$ . Let $\mathbf{F} = -2y\mathbf{i} + 2x\mathbf{j} + 2x^2\mathbf{k}$ . Use Stokes' Theorem to find the flux of $\nabla \times \mathbf{F}$ through $S$ in the direction away from the interior of the cylinder.
The flux of $\nabla \times \mathbf{F}$ outward through $S$ is $\boxed{\phantom{0}}$ . (Type an exact answer, using $\pi$ as needed.)

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Problem 56390

$\begin{array}{l} y=x-2 \\ y=3 x+4 \end{array}$
Is $(4,2)$ a solution of the system? Choose 1 answer: (A) Yes (B) No
Show Calculator

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Problem 56391

Solve $6x^2 + 9x = 0$
$x =$ (Separate answers by a comma. Write answers as integers or reduced fractions.) Question Help: Video

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Problem 56392

Consider the following $y$ -intercept and slope: $(0, -3)$ , $m = 4$
Step 2 of 2: Determine the graph of the line with the given $y$ -intercept and slope.

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Problem 56393

What is the total amount of money being added to the account in the table of deposits shown below?
Deposits Amount Incoming ACH \$2174.90 Incoming Phone Transfer \$21.78 Incoming App Transfer \$44.83 Check Mobile Deposit \$23.94
Round to the nearest cent. \$[?]

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Problem 56394

A car with mass $m_{\mathrm{c}}=1270 \mathrm{~kg}$ is traveling west through an intersection with a speed of $v_{\mathrm{c}}=12.86 \mathrm{~m} / \mathrm{s}$ when a truck of mass $m_{\mathrm{t}}=1990 \mathrm{~kg}$ traveling south at $v_{\mathrm{t}}=15,58 \mathrm{~m} / \mathrm{s}$ fails to yield. The vehicles collide, they stick together, and they slide on the asphalt which has a coefficient of kinetic friction of $\mu_{k}=0.500$ . Associate the positive $x$ direction with east and the positive $y$ direction with north.
Part (a) Using the symbols provided in the palette below as opposed to their numeric equivalents, enter an expression, in Cartesian unit-vector notation, for the velocity of the vehicles immediately after the collision, as they begin to slide as a composite object. $\vec{v}=$ $\square$
Grade Summary \begin{tabular}{lr} Deductions & $0 \%$ \\ Potential & $100 \%$ \end{tabular}
Submit Hint Feedback I give up! Submissions Attempt(s) Remaining: 5 0\% Deduction per Attempt detailed view
5 Submission(s) Remaining Hints: $0 \%$ deduction per hint. Hints remaining: 1 Feedback: $0 \%$ deduction per feedback.
Part (b) How far, in meters, will the vehicles slide after the collision?

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Problem 56395

Simplify $\frac{\sin(8t) + \sin(2t)}{\cos(8t) + \cos(2t)}$ to an expression involving a single trigonometric function.

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Problem 56396

If $\sin x = \frac{3}{4}$ , $x$ in quadrant I, then find (without finding $x$ )
$\sin(2x) =$
$\cos(2x) =$
$\tan(2x) =$

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Problem 56397

Perform the operation and simplify the result when possible. $\frac{x}{x^2 + 5x + 6} + \frac{x}{x^2 - 4}$ Submit Answer

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Problem 56398

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. $2 e^{3 x}=838$
The solution set expressed in terms of logarithms is $\square$ B (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the equation. Use In for natural logarithm and log for common logarithm.)
Now use a calculator to obtain a decimal approximation for the solution. The solution set is $\square$ B. (Use a comma to separate answers as needed Round to two decimal places as needed.)

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Problem 56399

5 Homework
Find the middle term of $\left(4 u^{3}+2 v^{2}\right)^{10}$ .
The middle term of $\left(4 u^{3}+2 v^{2}\right)^{10}$ is $\square$ (Simplify your answer.)

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Problem 56400

Solve $7 \cos(2w) = 7 \cos^2(w) - 3$ for all solutions $0 \le w < 2\pi$
$w =$
Give your answers accurate to at least 2 decimal places, as a list separated by commas

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Math

Problem 56301

Calculate: 5(20−12)÷45(20-12) \div 45(20−12)÷4

Problem 56302

Ms. Blankenship had \$80 and bought 32 glue sticks at \$1.40 each and 32 boxes of crayons at \$0.59 each. How much is left?

Problem 56303

Frank earns \$3,500/month and spends \$1,700 on expenses. Where does this amount fit in his financial plan? Choose 1 answer: (A) investment plan (B) savings plan (C) debt repayment plan (D) budget

Problem 56304

Divide 968 by 38. What is the result?

Problem 56305

Solve the equation dydx=−4(1+y2)x7\frac{d y}{d x}=-4(1+y^{2}) x^{7}dxdy​=−4(1+y2)x7 using separation of variables. Let CCC be the constant. y=y=y=

Problem 56306

Find the value of 26.95÷−51226.95 \div -5 \frac{1}{2}26.95÷−521​.

Problem 56307

What is the total amount Fatima paid for 5 pallets of grass at \$129.95 each plus \$76.20 for delivery?

Problem 56308

Problem 56309

Solve the equation (10+x4)dydx=x3y(10+x^{4}) \frac{dy}{dx}=\frac{x^{3}}{y}(10+x4)dxdy​=yx3​ using separation of variables. Find y2=y^{2}=y2=.

Problem 56310

Convert a speed of 5.8 mi/h to ft/s using the conversion factors: 1 h = 15 min, 1 mi = 5280 ft, 1 min = 60 s.

Problem 56311

42 people had breakfast. If 17\frac{1}{7}71​ ate eggs only and 23\frac{2}{3}32​ ate both, how many had pancakes only?

Problem 56312

A game show contestant starts with 7 points, gains 4 points, then loses 15 points. What is his final score?

Problem 56313

A bike wheel is 26 inches in diameter. Convert this to millimeters using 111 inch =25.4=25.4=25.4 mm.

Problem 56314

Solve the equation e−ysin⁡(x)+dydx=0e^{-y} \sin (x)+\frac{d y}{d x}=0e−ysin(x)+dxdy​=0 using separation of variables. Find y=Cy=Cy=C.

Problem 56315

Solve the initial value problem using separation of variables: dydx−x2ey=9ey\frac{d y}{d x}-x^{2} e^{y}=9 e^{y}dxdy​−x2ey=9ey, y(0)=3y(0)=3y(0)=3. Find y=y=y=

Problem 56316

Don ran 3 miles, stopping every 12\frac{1}{2}21​ mile. How many stops did he make, including the end point?

Problem 56317

Is the function g(x)=3x2−4x+8g(x)=3 x^{2}-4^{x}+8g(x)=3x2−4x+8 a polynomial? If yes, what is its degree?

Problem 56318

If ∠A\angle A∠A complements ∠B\angle B∠B and m∠A=36∘m \angle A=36^{\circ}m∠A=36∘, find m∠Bm \angle Bm∠B.

Problem 56319

Marc made 3 cakes, each cut into 8 pieces. How many servings can be made with 18\frac{1}{8}81​, 38\frac{3}{8}83​, and 58\frac{5}{8}85​ of a cake?

Problem 56320

Solve the equation dydt=5y\frac{d y}{d t}=5 ydtdy​=5y with the initial condition y(2)=2y(2)=2y(2)=2. Find y=y=y=

Problem 56321

How many servings of 38\frac{3}{8}83​ of a cake can Marc make from 3 cakes?

Problem 56322

How many servings of 58\frac{5}{8}85​ of a cake can Marc make from 3 cakes?

Problem 56323

Analyze the function F(x)=x2−18x−19x+18F(x)=\frac{x^{2}-18 x-19}{x+18}F(x)=x+18x2−18x−19​. Find domain, vertical and horizontal asymptotes.

Problem 56324

Find the measure of angle C if it supplements angle D, where m∠D=117∘m \angle D = 117^{\circ}m∠D=117∘.

Problem 56325

Convert 800 grams and 700 grams to pounds, rounding to 2 decimal places. Use 453.592 grams per pound.

Problem 56326

Solve for xxx in the equation y=4x+rx+6y=4x+rx+6y=4x+rx+6, with yyy and rrr as unknown constants.

Problem 56327

Find a number that, when added to 14\frac{1}{4}41​ of itself, equals 15. Solve x+14x=15x+\frac{1}{4} x=15x+41​x=15. What is xxx?

Problem 56328

Tom ordered a pizza cut into 6 slices. If he ate 12\frac{1}{2}21​ of it, how many slices did he eat?

Problem 56329

Analyze the function F(x)=x2−9x−10x+6F(x)=\frac{x^{2}-9 x-10}{x+6}F(x)=x+6x2−9x−10​: (a) Find the domain. (b) Determine the vertical asymptote. (c) Find the horizontal or oblique asymptote.

Problem 56330

Solve the equation dudt=e3u+4t\frac{d u}{d t}=e^{3 u+4 t}dtdu​=e3u+4t with u(0)=13u(0)=13u(0)=13. Find u(t)u(t)u(t).

Problem 56331

Solve the inequality: 4x+8<7x+54x + 8 < 7x + 54x+8<7x+5.

Problem 56332

If a pizza has nnn slices and Tom ate 13\frac{1}{3}31​ of it, how many slices did he eat?

Problem 56333

Analyze the function F(x)=x2−x−2x+16F(x)=\frac{x^{2}-x-2}{x+16}F(x)=x+16x2−x−2​. Find its domain, vertical asymptote, and horizontal/oblique asymptote.

Problem 56334

Classify each item as I (income statement), B (balance sheet), or CF (cash flows): Assets, Cash from operations, Equipment, Expenses, Liabilities, Net cash change, Revenues, Total liabilities & equity.

Problem 56335

Solve the equation dydx=−0.4cos⁡(y)\frac{d y}{d x}=\frac{-0.4}{\cos (y)}dxdy​=cos(y)−0.4​ with initial condition y(0)=π3y(0)=\frac{\pi}{3}y(0)=3π​. Find y(x)y(x)y(x).

Problem 56336

Solve the inequality −2<6−2x-2 < 6 - 2x−2<6−2x and graph the solution set.

Problem 56337

Convert 50 miles per hour to miles per minute using the expression: 50 miles1 hour×1 hour□ minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}1 hour50 miles​×□ minutes1 hour​. What goes in the box? Options: 6, 60, 360, 3,600.

Problem 56338

Aneesha travels at 50 mph. Morris travels 3 ft/s less. What is Morris's speed in mph? Options: 45, 46, 47, 48.

Problem 56339

Divide 204 m by 6 m. What is the result?

Problem 56340

Analyze the function F(x)=x2−4x−5x+9F(x)=\frac{x^{2}-4 x-5}{x+9}F(x)=x+9x2−4x−5​. Find its domain, vertical asymptote, and horizontal/oblique asymptote.

Calculate: $5(20-12) \div 4$

Solve the equation $\frac{d y}{d x}=-4(1+y^{2}) x^{7}$ using separation of variables. Let $C$ be the constant. $y=$

Find the value of $26.95 \div -5 \frac{1}{2}$ .

Solve the equation $(10+x^{4}) \frac{dy}{dx}=\frac{x^{3}}{y}$ using separation of variables. Find $y^{2}=$ .

42 people had breakfast. If $\frac{1}{7}$ ate eggs only and $\frac{2}{3}$ ate both, how many had pancakes only?

A bike wheel is 26 inches in diameter. Convert this to millimeters using $1$ inch $=25.4$ mm.

Solve the equation $e^{-y} \sin (x)+\frac{d y}{d x}=0$ using separation of variables. Find $y=C$ .

Solve the initial value problem using separation of variables: $\frac{d y}{d x}-x^{2} e^{y}=9 e^{y}$ , $y(0)=3$ . Find $y=$

Don ran 3 miles, stopping every $\frac{1}{2}$ mile. How many stops did he make, including the end point?

Is the function $g(x)=3 x^{2}-4^{x}+8$ a polynomial? If yes, what is its degree?

If $\angle A$ complements $\angle B$ and $m \angle A=36^{\circ}$ , find $m \angle B$ .

Marc made 3 cakes, each cut into 8 pieces. How many servings can be made with $\frac{1}{8}$ , $\frac{3}{8}$ , and $\frac{5}{8}$ of a cake?

Solve the equation $\frac{d y}{d t}=5 y$ with the initial condition $y(2)=2$ . Find $y=$

How many servings of $\frac{3}{8}$ of a cake can Marc make from 3 cakes?

How many servings of $\frac{5}{8}$ of a cake can Marc make from 3 cakes?

Analyze the function $F(x)=\frac{x^{2}-18 x-19}{x+18}$ . Find domain, vertical and horizontal asymptotes.

Find the measure of angle C if it supplements angle D, where $m \angle D = 117^{\circ}$ .

Solve for $x$ in the equation $y=4x+rx+6$ , with $y$ and $r$ as unknown constants.

Find a number that, when added to $\frac{1}{4}$ of itself, equals 15. Solve $x+\frac{1}{4} x=15$ . What is $x$ ?

Tom ordered a pizza cut into 6 slices. If he ate $\frac{1}{2}$ of it, how many slices did he eat?

Analyze the function $F(x)=\frac{x^{2}-9 x-10}{x+6}$ :
(a) Find the domain. (b) Determine the vertical asymptote. (c) Find the horizontal or oblique asymptote.

Solve the equation $\frac{d u}{d t}=e^{3 u+4 t}$ with $u(0)=13$ . Find $u(t)$ .

Solve the inequality: $4x + 8 < 7x + 5$ .

If a pizza has $n$ slices and Tom ate $\frac{1}{3}$ of it, how many slices did he eat?

Analyze the function $F(x)=\frac{x^{2}-x-2}{x+16}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

Solve the equation $\frac{d y}{d x}=\frac{-0.4}{\cos (y)}$ with initial condition $y(0)=\frac{\pi}{3}$ . Find $y(x)$ .

Solve the inequality $-2 < 6 - 2x$ and graph the solution set.

Convert 50 miles per hour to miles per minute using the expression: $\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}$ . What goes in the box? Options: 6, 60, 360, 3,600.

Analyze the function $F(x)=\frac{x^{2}-4 x-5}{x+9}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

Solve the inequality $-2 < 6 - 2x$ and graph the solution set.

Analyze the function $R(x)=\frac{x^{2}+x-30}{x-6}$ . Find its domain and vertical asymptote(s).

Analyze the function $R(x)=\frac{x^{2}+x-30}{x-6}$ . Find its domain, vertical asymptote, and horizontal/oblique asymptote.

Solve the differential equation $y' = x^4 \tan(y)$ for the general solution, using the constant $\mathrm{C}$ .

Solve the inequality $-3 < 3 - 2x$ and graph the solution set.

Find the domain of the function $f(x) = x^2$ for positive real numbers $x$ .

Solve the inequality: $-3 < 1 - 2x$ .

Analyze the function $F(x)=\frac{x^{2}-4 x-5}{x+20}$ :
(a) Find the domain. (b) Identify the vertical asymptote. (c) Determine the horizontal or oblique asymptote.

Solve the equation $x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60$ . What is the solution?

Analyze the function $F(x)=\frac{x^{2}-9 x-10}{x+4}$ for its domain, vertical asymptote, and horizontal/oblique asymptote.

The answer above is NOT correct. (1 point) (Exam FM Sample Problem 122) Cash flows are 30000 at time 2 (in years), 50000 at time 3; and 10000 at time 4, The annual effective yield rate is $3.25 \%$ . Calculate the Macaulay duration.

8. $10 \frac{3}{16}$ $-1 \frac{1}{32}$
9. $3 \frac{7}{12}$ $-\frac{2}{8}$ 10. $\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}$
11. $26 \frac{3}{8}$ $-4 \frac{2}{6}$

Factor the trinomial.
$50 + 15x^2 + x^4$
$x^2(x^2 + 15) + 50$
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Solve the following equation for $q$ :
$\frac{10}{q-7} = \frac{6}{q}$
$q =$
Help: If there is more than one correct answer, enter your answers as a comma separated list. If the equation has no real solution, write "No Solution."

In Exercises 13-16, describe how the graph of $y=x^{3}$ can be transformed to the graph of the given equation.
13. $y=2 x^{3}$
14. $y=(2 x)^{3}$
15. $y=(0.2 x)^{3}$
16. $y=0.3 x^{3}$

What network of northern whites and free African Americans who sympathized with runaway slaves, did southern slave holders fear the influence of?
The Underground Railroad The National Freedom Alliance The Social Network The Northern Abolition Network