Browse Math problems Studdy Solved!

Problem 55901

Solve for x.
$\log_{4}{x} = 4$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is $x =$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)
B. The solution is not a real number.

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Problem 55902

How is the graph in part (b) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis neither stretch nor shrink vertically by a factor of 0 neither stretch nor shrink horizontally by a factor of 0 do not shift up or down 0 units do not shift left or right 0 units How is the graph in part (c) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis neither stretch nor shrink vertically by a factor of 1 neither stretch nor shrink horizontally by a factor of 1 Nice job. do not shift up or down 0 units 0 units do not shift left or right How is the graph in part (d) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect across the x-axis stretch vertically by a factor of 2 Exactly! neither stretch nor shrink horizontally by a factor of 1 That's it! do not shift up or down 0 units do not shift left or right 0 units

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Problem 55903

Compound X has a molar mass of $153.03$ g·mol $^{-1}$ and the following composition:
| element | mass % | |---|---| | carbon | $47.09\%$ | | hydrogen | $6.59\%$ | | chlorine | $46.33\%$ |
Write the molecular formula of X.

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Problem 55904

The following summarizes the number of fiction books read last summer by a sample of 27 students at a certain college.
Number of students | Number of books ------- | -------- 2 | 1 10 | 3 15 | 4
What is the mean number of books read? Round your answer to at least one decimal place. books

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Problem 55905

Find the volume $V$ of the solid obtained by rotating the region bounded by the given curves about the specified line.
$y = x + 1$ , $y = 0$ , $x = 0$ , $x = 2$ ; about the x-axis
$V =$

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Problem 55906

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of $42^{\circ}$ to the top of the building, and an angle of depression of $16.8^{\circ}$ to the base of the tower. Find the height of the tower. $\qquad$ ft

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Problem 55907

A pilot flies in a straight path for 1 hour and 30 min . She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 hours in the new direction. If she maintains a constant speed of 680 miles per hour, how far is she from her starting position?
Answer: $\square$ miles

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Problem 55908

(a) $\lim _{x \rightarrow 0} \frac{\sin x}{\sin x x}$

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Problem 55909

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable $v$ to represent Vidya's savings.

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Problem 55910

4. Suppose that a friend missed class and never learned what $37^{\frac{1}{3}}$ means. a. Use exponent rules your friend would already know to calculate $\left(37^{\frac{1}{3}}\right)^{3}$ . b. Explain why this means that $37^{\frac{1}{3}}$ is the cube root of 37 .

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Problem 55911

ind the area of the shaded region. $f(x)=x^{4}-8 x^{3}+24 x^{2}, g(x)=32 x+65$

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Problem 55912

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron $f$ Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

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Problem 55913

$f(x) = \frac{7x}{x-4}$
The equation(s) of the vertical asymptote(s) is/are $x = 4$ .
The equation(s) of the horizontal asymptote(s) is/are $y = 7$ .
$f(x) = \frac{7x}{x-4}$

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Problem 55914

An equilibrium mixture contains 0.250 mol of each of the products (carbon dioxide and hydrogen gas) and 0.200 mol of each of the reactants (carbon monoxide and water vapor) in a 1.00 L container. $\mathrm{CO}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{~g}) \rightleftharpoons \mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2}(\mathrm{~g})$
How many moles of carbon dioxide would have to be added at constant temperature and volume to increase the amount of carbon monoxide to 0.300 mol once equilibrium has been reestablished? moles of $\mathrm{CO}_{2}$ : $\square$ mol

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Problem 55915

If consumers spend 80 cents out of every extra dollar received, the
Multiple Choice
multiplier is 5.
marginal propensity to save is 0.80.
marginal propensity to consume is 0.20.
multiplier is 20.

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Problem 55916

Question One (12.5 points): Solve the following problems and input the final answers in the provided boxes below the question. No answer will be considered if at least some solution details are shown. No answer will be considered if not input in the boxes. Include in your final answer the sign and unit.
1. (3 points) The unstretched length of spring $AB$ is $2.8$ m. If the block is held in the equilibrium position shown, determine the mass of the block at $D$ (in kg) and the unstretched length of spring $AC$ . $k_{AC} = 20$ N/m $k_{AB} = 30$ N/m $k_{AD} = 40$ N/m $3$ m $4$ m $3$ m

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Problem 55917

Write an expression that is equivalent to $1.5a + 4.7 + 0.25a - 0.3 - 0.5a$ .
$1.5a + 4.7 + 0.25a - 0.3 - 0.5a =$ $a$ + ?

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Problem 55918

Solve the system of equations by graphing. $x-y=-2$ $x+y=6$ Use the graphing tool to graph the system. Click to enlarge graph

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Problem 55919

First combine the like terms in $4f + (-21) + 10f$ .
$4f + (-21) + 10f = \boxed{\phantom{14}}f + (\boxed{\phantom{-21}})$

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Problem 55920

Use the given data to complete parts (a) and (b) below.
x | y ---|--- 2.3 | 4 3.9 | 1.5 2.8 | 3.6 4.7 | 4.9
Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is $\boxed{}$ . (Round to three decimal places as needed.)
Comment on the effect the additional data point has on the linear correlation coefficient.
A. The additional data point does not affect the linear correlation coefficient. B. The additional data point strengthens the appearance of a linear association between the data points. C. The additional data point weakens the appearance of a linear association between the data points.
Explain why correlations should always be reported with scatter diagrams.
A. The scatter diagram can be used to distinguish between association and causation. B. The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.

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Problem 55921

$6 \times 2 =$

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Problem 55922

$124 \div 67$

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Problem 55923

Find the slope of the tangent line to the polar curve $r = \sin(5\theta)$ at $\theta = \frac{\pi}{10}$ .
slope =

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Problem 55924

$n = 2317$ $x = 411$ A survey of 2317 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) through (c) below.
(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. $\hat{p} =$ (Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about $p$ are satisfied. The sample a simple random sample, the value of is , which is 10, and the less than or equal to 5% of the . (Round to three decimal places as needed.)
(c) Construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. We are % confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and . B. There is a % chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and .

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Problem 55925

81. An observer stands at a point $P$ , one unit away from a track. Two runners start at the point $S$ in the figure and run along the track. One runner runs three times as fast as the other. Find the maximum value of the observer's angle of sight $\theta$ between the runners.

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Problem 55926

חשבו את הגבול הבא: $\lim _{n \rightarrow \infty}\left(1+\frac{13}{n^{2}}\right)^{\frac{(9 \cdot n+1)^{2}}{2}}=$

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Problem 55927

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.
Grafik: Bitkinin Uzama Miktarı
Buna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

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Problem 55928

Alice must make at least 6 new reports in 180 minutes. Personal reports ( $x$ ) take her 20 minutes to make and commercial reports ( $y$ ) take her 35 minutes to make. Complete the inequalities below to represent this situation: $\begin{array}{l} x+y \geq[?] \\ x+\quad y \leq 180 \end{array}$ Enter

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Problem 55929

s of Linear Inequalities -Real World
Tom needs to make at least 48 pizzas during his 360 minute shift. Cheese pizzas ( $x$ ) take him 5 minutes to make and pepperoni pizzas ( y ) take him 6 minutes to make. Complete the inequalities below to represent this situation: $\begin{array}{c} x+y \geq 48 \\ {[?] x+6 y \leq \square} \end{array}$ Enter

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Problem 55930

At the end of the current year, Accounts Receivable has a balance of $\$ 700,000$ ; Allowance for Doubtful Accounts has a credit balance of $\$ 5,500$ ; and sales for the year total $\$ 3,500,000$ . Bad debt expense is estimated at $1 / 2$ of $1 \%$ of sales. a. Determine the amount of the adjusting entry for bad debt expense. \\square$ b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense.
Adjusted Balance Accounts Receivable $\square$ Allowance for Doubtful Accounts $\square$ Bad Debt Expense $\square$ c. Determine the net realizable value of accounts receivable. \\square$

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Problem 55931

The amount of the promissory note plus the interest earned on the due date is called the a. issuance value b. maturity value c. face value d. interest value

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Problem 55932

When the allowance method is used to account for uncollectible accounts, Bad Debt Expense is debited when a. a customer's account becomes past due b. management estimates the amount of uncollectibles c. an account becomes bad and is written off d. a sale is made

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Problem 55933

Find $f(9)$ in this piecewise function. $\begin{array}{c} x \leq 5, y=\frac{2}{5} x+8 \\ x>5, y=-x+15 \\ f(9)=[?] \end{array}$

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Problem 55934

Find $f(7)$ in this piecewise function. $\begin{array}{c} x<5, y=\frac{4}{5} x+1 \\ x \geq 5, y=-2 x+15 \\ f(7)=[?] \end{array}$ Enter

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Problem 55935

Find $f(-2)$ in this piecewise function. $\begin{array}{c} x<2, y=5 x-4 \\ x \geq 2, y=-\frac{3}{2} x+9 \\ f(-2)=[?] \end{array}$ Enter

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Problem 55936

Find $f(1)$ in this piecewise function. $\begin{array}{c} x<2, y=-2 x+10 \\ x \geq 2, y=\frac{3}{2} x+3 \\ f(1)=[?] \end{array}$ Enter

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Problem 55937

$x$ $h(x)$ 0 1.50 2 2.50 4 4.15
The table shows the exponential relationship between the number of years, $x$ , since Isela started training in pole vault, and the estimated height $h(x)$ , in meters, of her best pole vault for that year. Which of the following functions best represents this relationship, where $x \le 4$ ?
A. $h(x) = 1.29(0.50)^x$ B. $h(x) = 1.29(1.50)^x$ C. $h(x) = 1.50(0.29)^x$ D. $h(x) = 1.50(1.29)^x$

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Problem 55938

$xy$ عددان زوجيان $\Leftarrow xy$ عدد زوجي
إختر واحداً: صح خطأ
سؤال 2 غير مجاب عليه بعد الدرجة من 1.00 علم هذا السؤال
تمثل الأعداد بالنظام الثنائي بوساطة قوى الأساس 2 .a 8 .b 10 .c 16 .d

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Problem 55939

$P(x)$ تعني $x < 5$ فإن قيمة الحقيقة لـ $(\forall x P(x)$ حيث $x$ تنتمي إلى مجموعة الأعداد الحقيقية هي $F$ .
إختر واحداً: صح خطأ
سؤال 6 غیر مجاب عليه بعد الدرجة من 1.00 علم هذا السؤال
عند التحويل من النظام العشري الى أنظمة العد المختلفة
a. نقسم b. نطرح c. نضرب d. نجمع

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Problem 55940

Выбрать наименьшее значение Выберите один ответ: a. $\sin \frac{19}{6} \pi$ b. $\sin \frac{16}{3} \pi$ c. $\sin \frac{8}{6} \pi$ d. $\sin \frac{9}{6} \pi$ e. $\sin \frac{9}{3} \pi$

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Problem 55941

Find the exact value of $\cos \left(\sin ^{-1}\left(\frac{7}{25}\right)\right)$ .

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Problem 55942

Чему равен восьмой член арифметической прогрессии $1,1.5,2,2.5, \ldots$ Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

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Problem 55943

Чему равен вектор $\vec{a}$ Выберите один ответ: a. $(-1 ; 2)$ b. $(4 ; 2)$ c. $(-1 ;-2)$ d. $(-1 ; 4)$ e. $(1 ; 2)$

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Problem 55944

Use the image to answer the question.
2 ft.
Ramp up to the house
$20^\circ$
Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is $20^\circ$ , how long does the ramp have to be?
(1 point)

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Problem 55945

Suppose $f$ is differentiable on $(1,5)$ , continuous on $[1,5]$ and $f(1) = 0$ . Given that $1 \le f'(x) \le 2$ for all $x \in (1,5)$ , then the largest possible value of $f(5)$ is
4 11 1 8

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Problem 55946

Question 3 Not yet answered
The value of $a$ such that $f(x) = \begin{cases} \frac{\sin(x)}{x+a}, & x < 0 \\ x^2 + 2x, & x \ge 0 \end{cases}$ has a jump discontinuity at $x = 0$ is 1 0 3 2 ( 101 MATH) تجميع تفاضل وتكامل (1) Time left 0:43:23

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Problem 55947

90. Write $\sin 5 x$ in terms of powers of $\sin x$ .

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Problem 55948

Let $f(x) = \frac{x}{x+1}$ . The point(s) where the tangent line of $f$ has slope 1 is (are)
$(0, 0)$ and $(-4, 2)$ $(0, 0)$ and $(-8, 2)$ $(-2, 2)$ only $(0, 0)$ and $(-2, 2)$
(MATH 101) تجميع تفاضل وتكامل (1) Time left 0:33:11

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Problem 55949

The number $c$ that satisfies the conclusion of Rolle's Theorem for the function $f(x)=\sin (2 x)+\cos (2 x)$ on $[0, \pi]$ is $\frac{3 \pi}{4}$ $\frac{3 \pi}{8}$ $\frac{\pi}{4}$ $\frac{\pi}{8}$

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Problem 55950

Question 10 Not yet answered
If $f(x) = x^2 + 6$ , $g(x) = \sin(x)$ , then $(f \circ g)'(\frac{3\pi}{2}) =$
-1 0 1 2

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Problem 55951

If $g(x) = \cos(f(x) + \pi)$ , $f(\pi) = 0$ and $f'(\pi) = 2$ , then $g'(\pi) =$ 2 -2 0 1

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Problem 55952

Section Review 2-2
1. What is a strain in a wire of length 0.4 m , compressed by 0.05 m ?
2. A metallic wire is under a stress of $2 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$ . What force causes this stress in the wire if its cross sectional area is $1.5 \mathrm{~mm}^{2}$ .

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Problem 55953

A survey showed that 4 out of 5 students owr a bicycle. Based on this result, how many of the 800 students in a school own a bicycle?

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Problem 55954

i) "When marginal product is rising, marginal cost is falling. And when marginal product is diminishing, marginal cost is rising." Illustrate and explain graphically. Land Labor Total product Marginal Product Average Product 20 0 0 - - 20 1 15 - - 20 2 34 - - 20 3 - 17 - 20 4 - 14 - 20 5 74 - - 20 6 - 6 - 20 7 83 - - 20 8 82 - -

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Problem 55955

c. 24.6 A. Applying a current to a rechargeable battery converts it from cell to cell a. a voltaic; an electrolytic b. an electrolytic; a voltaic c. a Leclanché; a Nernst d. a Nernst; a Leclanché e. a Born cell; a Haber

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Problem 55956

The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3 . Tony made 10 baskets. How many baskets did Colin make?

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Problem 55957

Să se arate câ $M^{*}$ este un $R$ - modul la dreapta.
4. Folosind metoda eliminärii totale (GAUSS-JORDAN), sa se rezolve sistemul $\left\{\begin{array}{l} x+y+2 z+2 t=3 \\ x+y+z+2 t=2 \\ 2 x+3 y+3 z+t=10 \\ 3 x+y+13 t=-8 \end{array}\right.$
Barem de notare:

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Problem 55958

b) Sã se arate cả 5 este ireductibil, iar 3 este reductibil in $Z[i \sqrt{2}]$ .
3. Fie $M$ un $R-$ modul la stânga, $M^{}=\operatorname{Hom}_{R}\left(M_{,} R\right) ; \forall f, g \in M^{}$ şi $\forall a \in R$ , definim aplicatiile $f+g: M \rightarrow R,(f+g)(x)=f(x)+g(x) ; \forall x \in M$ , si $f a: M \rightarrow R,(f a)(x)=f(x) a ;$ $\forall x \in M$ .
Så se arate cå $M^{*}$ este un $R$ -modul la dreapta.

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Problem 55959

că $(\boldsymbol{Z}, \mathrm{o},-)$ este un domeniu de integritate și să se afle $U(\boldsymbol{Z})$ ;
2. Fie $\boldsymbol{Z}[i \sqrt{2}]=\{z / z=x+j y \sqrt{2} ; x, y \in \boldsymbol{Z}\}$ și $\delta: Z[i \sqrt{2}] \rightarrow N, \delta(x+j y \sqrt{2})=x^{2}+2 y^{2}$ ; $\forall x, y \in \boldsymbol{Z}$ . a) Sai se afle elementele asociate lui $z \in \boldsymbol{Z}[i \sqrt{2}]$ ; b) Să se arate cá 5 este ireductibil, iar 3 este reductibil in $\boldsymbol{Z} i \sqrt{2}]$ .

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Problem 55960

(Timp efectiv de lucru 2 ore)
1. Fie $k \in \boldsymbol{Z}, k-$ dat și $x$ o $y=x+y-k ; x \cdot y=x y-k(x+y)+k^{2}+k ; \forall x, y \in \boldsymbol{Z}$ . Sã se arate că ( $\boldsymbol{Z}, \mathrm{o}, \cdot)$ este un domeniu de integritate și să se afle $U(\boldsymbol{Z})$ ;

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Problem 55961

What is the size of the reflex angle below to the nearest degree?

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Problem 55962

A sample of size $n = 66$ is drawn from a normal population whose standard deviation is $\sigma = 6.2$ . The sample mean is $\overline{x} = 37.77$ .
Part: 0 / 2
Part 1 of 2
(a) Construct a 99% confidence interval for $\mu$ . Round the answer to at least two decimal places.
A 99% confidence interval for the mean is $\boxed{\phantom{00}} < \mu < \boxed{\phantom{00}}$ .

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Problem 55963

Sleeping outlier: A simple random sample of eight college freshmen were asked how many hours of sleep they typically got per night. The results were 8.5 24 8.5 8 7.5 9 6.5 6 Send data to Excel Notice that one joker said that he sleeps 24 a day. Part: 0 / 3 Part 1 of 3 (a) The data contain an outlier that is clearly a mistake. Eliminate the outlier, then construct a $99\%$ confidence interval for the mean amount of sleep from the remaining values. Round the answers to at least two decimal places. A $99\%$ confidence interval for the mean amount of sleep from the remaining values is $\boxed{}$ < $\mu$ < $\boxed{}$ .

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Problem 55964

Suppose $f(t)=u(t-2) \cos (t)+t u(t-5)+t$ . Then $f(\pi)=$

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Problem 55965

Suppose $f(t)=u(t-2) \cos (t)+t u(t-5)+t$ . Then $f(\pi)=$

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Problem 55966

Suppose $f(t) = u(t - 2)\cos(t) + tu(t - 5) + t$ . Then $f(\pi) =$

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Problem 55967

Consider $f(t)=u(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) \mathrm{dt}$ . What is the value of $f(\pi)$
Select one: 2 0 $-3 \pi$ 1

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Problem 55968

Consider $f(t)=v(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) d t$ . What is the value of $f(\pi)$

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Problem 55969

Evaluate $\mathscr{L}^{-1}\left[\frac{2}{s^{3}} e^{-4 s}\right]$ $(t-4)^{2} u(t-4)$ $(t-4) u(t-4)$ $(t+4)^{2} u(t-4)$ $u(t-4)$

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Problem 55970

Consider $f(t)=u(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) \mathrm{dt}$ . What is the Question value of $f(\pi)$
Select one: 1 0 2 $-3 \pi$ Clear my choice

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Problem 55971

Rewrite the following function in terms of step functions. $f(t)=\left\{\begin{array}{ll} t^{2} & 0 \leq t<\pi \\ 3 & \pi \leq t<2 \pi \\ t^{2}+2 & t \geq 2 \pi \end{array}\right.$
Select one: $t^{2} u(t-\pi)+3(u(t-\pi)-u(t-2 \pi))+\left(t^{2}+2\right) u(t-2 \pi)$ $t^{2} u(t-\pi)+3(u(t-\pi)-u(t-2 \pi))+\left(t^{2}+2\right)(1-u(t-2 \pi))$ $t^{2}(1-u(t-\pi))+3(u(t-\pi)-u(t-2 \pi))+\left(t^{2}+2\right) u(t-2 \pi)$ $1-t^{2} u(t-\pi)+3(u(t-\pi)-u(t-2 \pi))+\left(t^{2}+2\right) u(t-2 \pi)$ Clear my choice

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Problem 55972

MARCH 2016
11. a) Which one of the following is the real part and imaginary parts of the complex number: $\left(\frac{1+i}{1-i}\right)-\left(\frac{1-i}{1+i}\right)$ ? i) 0 and 1 ii) 0 and 2 iii) 3 and 2 iv) 0 and 4 (1) b) Deleted. c) Deleted.
IMPROVEMENT 2015
12. a) What is $i^{-35}$ ? b) Deleted. c) Deleted.
MARCH 2015 Deleted. IMPROVEMENT 2014 Deleted. MARCH 2014 Deleted. SEPTEMBER 2013
13. a) Express $\frac{1+i}{1-i}$ in the form $a+i b$ . b) Deleted.
MARCH 2013 Deleted. (2)
MARCH 2011
22. Consider the complex number $Z=\frac{2+i}{(1+i)(1-2 i)}$ a) Express Z in the form $a+i b$ . b) Deleted.
MARCH 2010
23. i) Express the complex number $z=\frac{5+i}{2+3 i}$ in the form $a+i b$ ii) Deleted.
AUGUST 2009
24. i) Express the complex number $\frac{3-\sqrt{-16}}{1-\sqrt{-9}}$ in the form $a+i b$ . ii) Deleted. iii) Deleted.
MARCH 2009
25. a) Express the complex number $\frac{2-i}{(1-i)(1+2 i)}$ in the form $a+i b$ . b) Deleted. c) Deleted.

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Problem 55973

تدريب (۲) : هرم رباعي قائم حجمه ۳۲ سم ۳ ، ارتفاعه ٦ سم ، ما طول ضلع قاعدته :

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Problem 55974

$A(8, 5, -6)$ , $B(4, 7, 9)$ , $C(2, 1, 6)$ ج) إذا كانت : فبرهن باستخدام المتجهات أن النقط $A$ , $B$ , $C$ تمثل رؤوس مثلث الزاوية

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Problem 55975

Find the particular solution to the given differential equation that satisfies the given conditions.
$\sqrt[8]{x^2 + y^2} dy = 5(xdx + ydy)$ ; $x = 1$ when $y = 0$
The particular solution is ______. (Type an equation.)

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Problem 55976

ك أميرة زجاجة مياه سعتها 1.8 لتر ، شربت منها 950 ملل عدد الملايلترات المُتَبَقِّة في الزجاجة
ثمن الكفكة الواحدة 3.5 جنيه ، وقامت ريهام بدفع 77 جنيهًا نظير عددٍ من الكعكات ، ـد الكعكات التي اشترتها ريهام؟
ثمن المتر الواحد من القماش 6.25 جنيه ، فما ثمن 2.3 متر من القماش؟

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Problem 55977

السؤال الرابع: الجدول التكراري التالي يمثل الأجور بمئات الدولارات لموظفي شركة بيونير للصناعات الغذائية (أ) المطلوب: مع التوضيح تمثل البيانات باستخدام (المدرج التكراري، المنحني التكراري). فئة الأجر التكرار $x$ $25$ $-20$ $15$ $-30$ $20$ $-40$ $15$ $-50$ $5$ $70$ - $60$ $80$ المجموع المدرج التكراري $(0,0)$ المنحني التكراري $(0,0)$

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Problem 55978

Note: Figure is not drawn to scale
If $U=3$ inches, $V=5$ inches, $W=8$ inches, $X=6$ inches, $Y=8$ inches, and $Z=5$ inches, what is the area of the object? A. 77 square inches B. 64 square inches C. 65 square inches D. 71 square inches

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Problem 55979

$\text{Abbey is getting new carpet in her living room and hallway. The following diagram shows the two together.}$ $\text{Note: Figure not drawn to scale}$ $\text{If } a=34 \text{ ft}, b=14 \text{ ft}, c=17 \text{ ft}, \text{ and } d=18 \text{ ft}, \text{ what is the area of the living room and hallway together?}$ $\text{A. } 782 \text{ ft}^2$ $\text{B. } 374 \text{ ft}^2$ $\text{C. } 166 \text{ ft}^2$ $\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$ $\text{Dialogue Transcript:}$ $\text{assistant:}$ $\text{Hi there! It looks like you have a math problem related to finding the area of Abbey's living room and hallway combined. However, it seems like there might be some missing information or a diagram that we can't see from just the text.}$ $\text{Could you clarify a bit more about how the dimensions a, b, c, and d relate to each other? For instance, are they sides of rectangles or part of another shape? Any details on how the living room and hallway are connected or shaped would help me generate a more accurate answer for you.}$ $\text{Once you provide some more context, I'd be happy to help you solve the problem!}$ $\text{user:}$ $\text{They are sides of the rectangle}$

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Problem 55980

Sparx Maths New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1B Calculator not allowed
For each number, decide whether it is prime or not prime: a) 51 b) 87

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Problem 55981

.13 بتاريخ 2021/10/20 قام صاحب المحلات بسحب بضاعة بسعر السوق (البيع) بقيمة 3000 دينار

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Problem 55982

Note: Figure is not drawn to scale.
If $x=8$ units, $y=5$ units, and $h=3$ units, then what is the area of the parallelogram shown above? A. 24 square units B. 26 square units C. 15 square units D. 40 square units

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Problem 55983

En el muestreo aleatorio simple la muestra se selecciona a través de un sistema que se aplica después de la selección de un punto aleatorio d Falso Verdadero

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Problem 55984

(d) Show that, if $\vec{a}$ and $\vec{b}$ are non-zero vectors belonging to $\mathbf{R}^{3}$ , then $\vec{a}$ and $\vec{b}$ can't be both orthogonal and parallel

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Problem 55985

أ ب ع د شيه منحرف متساوي الصافين $\qquad$ الصسب/ $\qquad$

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Problem 55986

2): suppose a square matrix $A$ satisfies $A=2 A^{\top}$ show that $A=0$

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Problem 55987

Solve the following equation for $\boldsymbol{x}$ . $\ln (-3 x+5)=6$
Round your final answer to 4 decimal places, and do not include " $\boldsymbol{x}=$ " in your answer.

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Problem 55988

(D) The bromide ion is then larger than the bromine atom.
PQ-24. Which ion has the largest radius? (A) $Cl^{-}$ (B) $F^{-}$ (C) $K^{+}$ (D) $Cu^{2+}$

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Problem 55989

In parallelogram $LMNP$ if $LQ = 13$ find $LN$ .

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Problem 55990

How many energy is requie toleft a 167 pound person to 16 feet

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Problem 55991

Circle the Correct answer.
1- In some schools, students don't have to/must write on their textbooks.
2- Twenty years ago the family must/had to move to another country.
3- When do we have to/didn't have to finish this homework

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Problem 55992

Perform the indicated opention $5 g-2340 \mathrm{mg}$

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Problem 55993

Write the equation of this line in slope-intercept form.

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Problem 55994

Find the area of the geometric figure $\frac{3 y d\left[\begin{array}{l} 3 y d \\ \text { Trapezoid } \end{array}\right.}{7 y d}$

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Problem 55995

2. Se consideră mulțimile $A=\{x \in \mathbb{R}| | x+2 \mid \leq 3\}$ și $B=\left\{x \in \mathbb{R} \left\lvert\, 1<\frac{3 x+8}{2} \leq 13\right.\right\}$ . (2p) a) Arătați că $\mathrm{A}=[-5,1]$ . (3p) b) Determinati $(A \cap B) \cap \mathbb{Z}$ .

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Problem 55996

A patient takes vitamin pills. Each day she must have at least 2700 IU of vitamin $\mathrm{A}, 16 \mathrm{mg}$ of vitamin $\mathrm{B}_{1}$ , and 90 mg of vitamin C . She can choose between pill 1, which contains 360 IU of vitamin $\mathrm{A}, 2 \mathrm{mg}$ of vitamin $B_{1}$ , and 10 mg of vitamin $C$ , and pill 2 , which contains 300 IU of vitamin $A, 2$ mg of vitamin $B_{1}$ , and 20 mg of vitamin C. Pill 1 costs 104 , and pill 2 costs 304 . How many of each pill should she buy in order to minimize her cost? What is the minimum cost?
She should buy $\square$ of pill 1 and $\square$ of pill 2. The minimum cost is $\$$ $\square$ . (Simplify your answers. Type integers or decimals.)

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Problem 55997

A 21,000-BTU air conditioner requires how many foot-pounds of energy to operate?
A 21,000-BTU air conditioner requires $\square$ foot-pounds of energy to operate. (Simplify your answer.)

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Problem 55998

Español ek and Stone Mountain are schools in different states. The heights of students at Castle Creek have a population mean of 59.7 inches and a standard of 1.4 inches. The heights of students at Stone Mountain have a population mean of 56.7 inches with a standard deviation of 1.5 inches. For each distribution of the heights of students is clearly bell-shaped. student at Castle Creek and is 57 inches tall. Melissa is a student at Stone Mountain and is 53 inches tall. d the $z$ -scores of Maya's height as a student at Castle Creek and Melissa's height as a student at Stone Mountain. und your answers to two decimal places. -score of Maya's height: $\square$ -score of Melissa's height: $\square$ ative to her population, which student is taller? ose the best answer based on the $z$ -scores of the two heights.
Maya Melissa It is unclear which student is taller relative to her population

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Problem 55999

$\begin{array}{r}\frac{3}{634} \\ -\frac{30}{654} \\ -\frac{30}{1} 10 \\ 654 \\ -30 \\ -694 \\ -30\end{array}$

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Problem 56000

31634 30 10 654 30 10 634 -30 lo 694 -130

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Math

Problem 55901

Problem 55902

Problem 55903

Compound X has a molar mass of 153.03153.03153.03 g·mol−1^{-1}−1 and the following composition:| element | mass % | |---|---| | carbon | 47.09%47.09\%47.09% | | hydrogen | 6.59%6.59\%6.59% | | chlorine | 46.33%46.33\%46.33% |Write the molecular formula of X.

Problem 55904

The following summarizes the number of fiction books read last summer by a sample of 27 students at a certain college.Number of students | Number of books ------- | -------- 2 | 1 10 | 3 15 | 4What is the mean number of books read? Round your answer to at least one decimal place. books

Problem 55905

Find the volume VVV of the solid obtained by rotating the region bounded by the given curves about the specified line.y=x+1y = x + 1y=x+1, y=0y = 0y=0, x=0x = 0x=0, x=2x = 2x=2; about the x-axisV=V =V=

Problem 55906

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of 42∘42^{\circ}42∘ to the top of the building, and an angle of depression of 16.8∘16.8^{\circ}16.8∘ to the base of the tower. Find the height of the tower. \qquad ft

Problem 55907

Problem 55908

(a) lim⁡x→0sin⁡xsin⁡xx\lim _{x \rightarrow 0} \frac{\sin x}{\sin x x}limx→0​sinxxsinx​

Problem 55909

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable vvv to represent Vidya's savings.

Problem 55910

4. Suppose that a friend missed class and never learned what 371337^{\frac{1}{3}}3731​ means. a. Use exponent rules your friend would already know to calculate (3713)3\left(37^{\frac{1}{3}}\right)^{3}(3731​)3. b. Explain why this means that 371337^{\frac{1}{3}}3731​ is the cube root of 37 .

Problem 55911

ind the area of the shaded region. f(x)=x4−8x3+24x2,g(x)=32x+65f(x)=x^{4}-8 x^{3}+24 x^{2}, g(x)=32 x+65f(x)=x4−8x3+24x2,g(x)=32x+65

Problem 55912

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron fff Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

Problem 55913

f(x)=7xx−4f(x) = \frac{7x}{x-4}f(x)=x−47x​The equation(s) of the vertical asymptote(s) is/are x=4x = 4x=4.The equation(s) of the horizontal asymptote(s) is/are y=7y = 7y=7.f(x)=7xx−4f(x) = \frac{7x}{x-4}f(x)=x−47x​

Problem 55914

Problem 55915

If consumers spend 80 cents out of every extra dollar received, theMultiple Choicemultiplier is 5.marginal propensity to save is 0.80.marginal propensity to consume is 0.20.multiplier is 20.

Problem 55916

Problem 55917

Write an expression that is equivalent to 1.5a+4.7+0.25a−0.3−0.5a1.5a + 4.7 + 0.25a - 0.3 - 0.5a1.5a+4.7+0.25a−0.3−0.5a.1.5a+4.7+0.25a−0.3−0.5a=1.5a + 4.7 + 0.25a - 0.3 - 0.5a = 1.5a+4.7+0.25a−0.3−0.5a= aaa + ?

Problem 55918

Solve the system of equations by graphing. x−y=−2x-y=-2x−y=−2 x+y=6x+y=6x+y=6 Use the graphing tool to graph the system. Click to enlarge graph

Problem 55919

First combine the like terms in 4f+(−21)+10f4f + (-21) + 10f4f+(−21)+10f.4f+(−21)+10f=14f+(−21)4f + (-21) + 10f = \boxed{\phantom{14}}f + (\boxed{\phantom{-21}})4f+(−21)+10f=14​f+(−21​)

Problem 55920

Problem 55921

6×2=6 \times 2 =6×2=

Problem 55922

124÷67124 \div 67124÷67

Problem 55923

Find the slope of the tangent line to the polar curve r=sin⁡(5θ)r = \sin(5\theta)r=sin(5θ) at θ=π10\theta = \frac{\pi}{10}θ=10π​.slope =

Problem 55924

Problem 55925

81. An observer stands at a point PPP, one unit away from a track. Two runners start at the point SSS in the figure and run along the track. One runner runs three times as fast as the other. Find the maximum value of the observer's angle of sight θ\thetaθ between the runners.

Problem 55926

חשבו את הגבול הבא: lim⁡n→∞(1+13n2)(9⋅n+1)22=\lim _{n \rightarrow \infty}\left(1+\frac{13}{n^{2}}\right)^{\frac{(9 \cdot n+1)^{2}}{2}}=n→∞lim​(1+n213​)2(9⋅n+1)2​=

Problem 55927

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.Grafik: Bitkinin Uzama MiktarıBuna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

Problem 55928

Problem 55929

Problem 55930

Problem 55931

The amount of the promissory note plus the interest earned on the due date is called the a. issuance value b. maturity value c. face value d. interest value

Problem 55932

When the allowance method is used to account for uncollectible accounts, Bad Debt Expense is debited when a. a customer's account becomes past due b. management estimates the amount of uncollectibles c. an account becomes bad and is written off d. a sale is made

Problem 55933

Find f(9)f(9)f(9) in this piecewise function. x≤5,y=25x+8x>5,y=−x+15f(9)=[?]\begin{array}{c} x \leq 5, y=\frac{2}{5} x+8 \\ x>5, y=-x+15 \\ f(9)=[?] \end{array}x≤5,y=52​x+8x>5,y=−x+15f(9)=[?]​

Problem 55934

Find f(7)f(7)f(7) in this piecewise function. x<5,y=45x+1x≥5,y=−2x+15f(7)=[?]\begin{array}{c} x<5, y=\frac{4}{5} x+1 \\ x \geq 5, y=-2 x+15 \\ f(7)=[?] \end{array}x<5,y=54​x+1x≥5,y=−2x+15f(7)=[?]​ Enter

Problem 55935

Find f(−2)f(-2)f(−2) in this piecewise function. x<2,y=5x−4x≥2,y=−32x+9f(−2)=[?]\begin{array}{c} x<2, y=5 x-4 \\ x \geq 2, y=-\frac{3}{2} x+9 \\ f(-2)=[?] \end{array}x<2,y=5x−4x≥2,y=−23​x+9f(−2)=[?]​ Enter

Problem 55936

Find f(1)f(1)f(1) in this piecewise function. x<2,y=−2x+10x≥2,y=32x+3f(1)=[?]\begin{array}{c} x<2, y=-2 x+10 \\ x \geq 2, y=\frac{3}{2} x+3 \\ f(1)=[?] \end{array}x<2,y=−2x+10x≥2,y=23​x+3f(1)=[?]​ Enter

Problem 55937

Problem 55938

Problem 55939

Problem 55940

Problem 55941

Find the exact value of cos⁡(sin⁡−1(725))\cos \left(\sin ^{-1}\left(\frac{7}{25}\right)\right)cos(sin−1(257​)).

Problem 55942

Чему равен восьмой член арифметической прогрессии 1,1.5,2,2.5,…1,1.5,2,2.5, \ldots1,1.5,2,2.5,… Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

Problem 55943

Чему равен вектор a⃗\vec{a}a Выберите один ответ: a. (−1;2)(-1 ; 2)(−1;2) b. (4;2)(4 ; 2)(4;2) c. (−1;−2)(-1 ;-2)(−1;−2) d. (−1;4)(-1 ; 4)(−1;4) e. (1;2)(1 ; 2)(1;2)

Problem 55944

Use the image to answer the question.2 ft.Ramp up to the house20∘20^\circ20∘Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is 20∘20^\circ20∘, how long does the ramp have to be?(1 point)

Problem 55945

Suppose fff is differentiable on (1,5)(1,5)(1,5), continuous on [1,5][1,5][1,5] and f(1)=0f(1) = 0f(1)=0. Given that 1≤f′(x)≤21 \le f'(x) \le 21≤f′(x)≤2 for all x∈(1,5)x \in (1,5)x∈(1,5), then the largest possible value of f(5)f(5)f(5) is4 11 1 8

Problem 55946

Problem 55947

90. Write sin⁡5x\sin 5 xsin5x in terms of powers of sin⁡x\sin xsinx.

Compound X has a molar mass of $153.03$ g·mol $^{-1}$ and the following composition:
| element | mass % | |---|---| | carbon | $47.09\%$ | | hydrogen | $6.59\%$ | | chlorine | $46.33\%$ |
Write the molecular formula of X.

The following summarizes the number of fiction books read last summer by a sample of 27 students at a certain college.
Number of students | Number of books ------- | -------- 2 | 1 10 | 3 15 | 4
What is the mean number of books read? Round your answer to at least one decimal place. books

Find the volume $V$ of the solid obtained by rotating the region bounded by the given curves about the specified line.
$y = x + 1$ , $y = 0$ , $x = 0$ , $x = 2$ ; about the x-axis
$V =$

A tower is located 239.1 ft from a building. From a window in the building, a person measures an angle of elevation of $42^{\circ}$ to the top of the building, and an angle of depression of $16.8^{\circ}$ to the base of the tower. Find the height of the tower. $\qquad$ ft

(a) $\lim _{x \rightarrow 0} \frac{\sin x}{\sin x x}$

Translate this sentence into an equation. 21 less than Vidya's savings is 63. Use the variable $v$ to represent Vidya's savings.

4. Suppose that a friend missed class and never learned what $37^{\frac{1}{3}}$ means. a. Use exponent rules your friend would already know to calculate $\left(37^{\frac{1}{3}}\right)^{3}$ . b. Explain why this means that $37^{\frac{1}{3}}$ is the cube root of 37 .

ind the area of the shaded region. $f(x)=x^{4}-8 x^{3}+24 x^{2}, g(x)=32 x+65$

Out of the 10 elements observed, which element(s) has a 100\% Abumndance in Nature? a Hydrogen b Helium c Lihlum d Beryllium e Boron $f$ Carbon 9 Nitrogen h Oxygen 1 Fluorine 1 Neon k All the Above 1 None of the Above

$f(x) = \frac{7x}{x-4}$
The equation(s) of the vertical asymptote(s) is/are $x = 4$ .
The equation(s) of the horizontal asymptote(s) is/are $y = 7$ .
$f(x) = \frac{7x}{x-4}$

If consumers spend 80 cents out of every extra dollar received, the
Multiple Choice
multiplier is 5.
marginal propensity to save is 0.80.
marginal propensity to consume is 0.20.
multiplier is 20.

Write an expression that is equivalent to $1.5a + 4.7 + 0.25a - 0.3 - 0.5a$ .
$1.5a + 4.7 + 0.25a - 0.3 - 0.5a =$ $a$ + ?

Solve the system of equations by graphing. $x-y=-2$ $x+y=6$ Use the graphing tool to graph the system. Click to enlarge graph

First combine the like terms in $4f + (-21) + 10f$ .
$4f + (-21) + 10f = \boxed{\phantom{14}}f + (\boxed{\phantom{-21}})$

$6 \times 2 =$

$124 \div 67$

Find the slope of the tangent line to the polar curve $r = \sin(5\theta)$ at $\theta = \frac{\pi}{10}$ .
slope =

81. An observer stands at a point $P$ , one unit away from a track. Two runners start at the point $S$ in the figure and run along the track. One runner runs three times as fast as the other. Find the maximum value of the observer's angle of sight $\theta$ between the runners.

חשבו את הגבול הבא: $\lim _{n \rightarrow \infty}\left(1+\frac{13}{n^{2}}\right)^{\frac{(9 \cdot n+1)^{2}}{2}}=$

20. Aşağıda verilen çizgi grafiğinde başlangıçta boyu 46 cm olan bir bitkinin ayıara y̌ cinsinden verilmiştir.
Grafik: Bitkinin Uzama Miktarı
Buna göre 5. ayın sonunda bitkinin boyu kaç santimetre olur? A) 56 B) 64 C) 86

Find $f(9)$ in this piecewise function. $\begin{array}{c} x \leq 5, y=\frac{2}{5} x+8 \\ x>5, y=-x+15 \\ f(9)=[?] \end{array}$

Find $f(7)$ in this piecewise function. $\begin{array}{c} x<5, y=\frac{4}{5} x+1 \\ x \geq 5, y=-2 x+15 \\ f(7)=[?] \end{array}$ Enter

Find $f(-2)$ in this piecewise function. $\begin{array}{c} x<2, y=5 x-4 \\ x \geq 2, y=-\frac{3}{2} x+9 \\ f(-2)=[?] \end{array}$ Enter

Find $f(1)$ in this piecewise function. $\begin{array}{c} x<2, y=-2 x+10 \\ x \geq 2, y=\frac{3}{2} x+3 \\ f(1)=[?] \end{array}$ Enter

Find the exact value of $\cos \left(\sin ^{-1}\left(\frac{7}{25}\right)\right)$ .

Чему равен восьмой член арифметической прогрессии $1,1.5,2,2.5, \ldots$ Выберите один ответ: a. верный ответ отсутствует b. 4.5 c. 5 d. 6.5 e. 5.5

Чему равен вектор $\vec{a}$ Выберите один ответ: a. $(-1 ; 2)$ b. $(4 ; 2)$ c. $(-1 ;-2)$ d. $(-1 ; 4)$ e. $(1 ; 2)$

Use the image to answer the question.
2 ft.
Ramp up to the house
$20^\circ$
Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is $20^\circ$ , how long does the ramp have to be?
(1 point)

Suppose $f$ is differentiable on $(1,5)$ , continuous on $[1,5]$ and $f(1) = 0$ . Given that $1 \le f'(x) \le 2$ for all $x \in (1,5)$ , then the largest possible value of $f(5)$ is
4 11 1 8

90. Write $\sin 5 x$ in terms of powers of $\sin x$ .

The number $c$ that satisfies the conclusion of Rolle's Theorem for the function $f(x)=\sin (2 x)+\cos (2 x)$ on $[0, \pi]$ is $\frac{3 \pi}{4}$ $\frac{3 \pi}{8}$ $\frac{\pi}{4}$ $\frac{\pi}{8}$

Question 10 Not yet answered
If $f(x) = x^2 + 6$ , $g(x) = \sin(x)$ , then $(f \circ g)'(\frac{3\pi}{2}) =$
-1 0 1 2

If $g(x) = \cos(f(x) + \pi)$ , $f(\pi) = 0$ and $f'(\pi) = 2$ , then $g'(\pi) =$ 2 -2 0 1

c. 24.6 A. Applying a current to a rechargeable battery converts it from cell to cell a. a voltaic; an electrolytic b. an electrolytic; a voltaic c. a Leclanché; a Nernst d. a Nernst; a Leclanché e. a Born cell; a Haber

Suppose $f(t)=u(t-2) \cos (t)+t u(t-5)+t$ . Then $f(\pi)=$

Suppose $f(t)=u(t-2) \cos (t)+t u(t-5)+t$ . Then $f(\pi)=$

Suppose $f(t) = u(t - 2)\cos(t) + tu(t - 5) + t$ . Then $f(\pi) =$

Consider $f(t)=u(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) \mathrm{dt}$ . What is the value of $f(\pi)$
Select one: 2 0 $-3 \pi$ 1

Consider $f(t)=v(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) d t$ . What is the value of $f(\pi)$

Evaluate $\mathscr{L}^{-1}\left[\frac{2}{s^{3}} e^{-4 s}\right]$ $(t-4)^{2} u(t-4)$ $(t-4) u(t-4)$ $(t+4)^{2} u(t-4)$ $u(t-4)$

Consider $f(t)=u(t-3)-t u(t-5)+\int_{0}^{\infty} \delta(t-\pi) \mathrm{dt}$ . What is the Question value of $f(\pi)$
Select one: 1 0 2 $-3 \pi$ Clear my choice

$A(8, 5, -6)$ , $B(4, 7, 9)$ , $C(2, 1, 6)$ ج) إذا كانت : فبرهن باستخدام المتجهات أن النقط $A$ , $B$ , $C$ تمثل رؤوس مثلث الزاوية