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Problem 56401

Question 5
Watch the video that describes using summation notation. Click here to watch the video. Evaluate the sum. $\sum_{j=1}^{10}(j+3)$ $\sum_{j=1}^{10}(j+3)=$ $\square$ (Simplify your answer.)

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Problem 56402

$(\sin(5x))^4 = \boxed{} - \frac{1}{2}\cos(\boxed{}x) + \frac{1}{8}\cos(\boxed{}x)$

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Problem 56403

Perform the division. $\frac{7x^7y^6 + 14x^5y - 21xy^7}{-7x^6y^6}$ $-x - \frac{2}{xy^5} + \frac{3y}{x^6}$ $-x - \frac{2}{xy^6} + \frac{3y}{x^5}$ $-x - \frac{2}{xy^5} - \frac{3y}{x^5}$ $x + \frac{2}{xy^5} - \frac{3y}{x^5}$ $-x - \frac{2}{xy^5} + \frac{3y}{x^5}$ Submit Answer

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Problem 56404

Question Watch Video Show Examples
Nachelle and Parker are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nachelle is 500 miles away from the stadium and Parker is 750 miles away from the stadium. Nachelle is driving along the highway at a speed of 25 miles per hour and Parker is driving at speed of 50 miles per hour. Let $N$ represent Nachelle's distance, in miles, away from the stadium $t$ hours after noon. Let $P$ represent Parker's distance, in miles, away from the stadium $t$ hours after noon. Graph each function and determine the interval of hours, $t$ , for which Nachelle is closer to the stadium than Parker.

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Problem 56405

Question Solve the following equation for $\theta$ on the interval $[0, 2\pi)$ .
$2 \sec(\theta) + 3 = 0$
Round your answers to the nearest thousandth of a radian.
Provide your answer below:

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Problem 56406

Find a possible formula for the trigonometric function whose values are in the following table.
| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |
$y =$

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Problem 56407

In the diagram below, which number represents endocrine signaling? Signaling cell Target cell bloodstream

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Problem 56408

$[-/2 \text{ Points}]$ DETAILS MY NOTES HARMATHAP12 12.1.007. Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.) $\int 8x^5 \, dx$ Submit Answer

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Problem 56409

Simplify: $\frac{(8a^2b^3)^2}{8ab^2}$
Entry Tips:
1. Use ^ (shift+6) for exponents. To type $x^2$ type "x^2"
2. Use parenthesis if there is more than one "thing" in the numerator or denominator. To type $\frac{2a}{c-4}$ type "(2a)/(c-4)". $\frac{(2a)}{(c-4)}$ .

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Problem 56410

What is the area, in square units, of triangle BCD? Triangle BCD, with vertices B(-6,-9), C(-2,-4), and D(-8,-3), is drawn inside a rectangle, as shown below.

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Problem 56411

A population of rabbits oscillates 32 above and below average during the year, hitting the lowest value in January ( $t = 0$ ). The average population starts at 950 rabbits and increases by 5% each month. Find an equation for the population, $P$ , in terms of the months since January, $t$ .

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Problem 56412

In Exercises 11-16, write a piecewise function represented by the graph. Example 3 11. 12. 13. 14. 15. 16.

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Problem 56413

4. Mary and Joe can complete a job together in 6 hours. Mary can do the job in 14 hours working alone. How long would it take Joe to complete the job if he is working alone?

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Problem 56414

Find the midpoint of the segment with the following endpoints. $(0, 8)$ and $(6, 4)$

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Problem 56415

A weight is suspended from the ceiling by a spring. Let $d$ be the distance in centimeters from the ceiling to the weight. When the weight is motionless, $d = 5$ cm. If the weight is disturbed, it begins to bob up and down, or oscillate. Then $d$ is a periodic function of $t$ , the time in seconds, so $d = f(t)$ . Consider the graph of $d = f(t)$ below, which represents the distance of the weight from the ceiling at time $t$ .

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Problem 56416

5. The decay constant for a particular radioactive element is 0.015 when time is measured in years. Find the half-life of this element.

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Problem 56417

1. By the method of mathematical induction, prove that $1^2 + 2^2 + 3^2 + \dots + n^2 = \frac{n(n+12n+1)}{6}$ is valid for all positive integral values.
2. If $\cos\theta = -\frac{3}{5}$ , find the value of $\sin\theta$ and $\tan\theta$ when $\theta$ lies (i) in the second quadrant, (ii) in the third quadrant.
3. Show that; $\frac{\cos x}{1 + \sin x} = \frac{1 - \sin x}{\cos x}$ .
4. Find the equation of a straight line passing through the intersection of the lines $3x - y = 9$ and $x + 2y = -4$ , perpendicular to $3 = 4y + 8x$ .
5. Find the centre and radius of the circle $x^2 + y^2 + 2x - 3y - 12 = 0$ .

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Problem 56418

Piecewise Function represented by Graph 15

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Problem 56419

4. [Maximum mark: 4] Solve for n: $\binom{n}{2} - 2n = 20$

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Problem 56420

$x$ | 1 | 2 | 3 | 4 | 5 | 6 ---|---|---|---|---|---|---| $y$ | 849 | 1351 | 2108 | 3224 | 4731 | 8157
Use exponential regression to find an exponential function that best fits this data.
$f(x) =$
Use linear regression to find a linear function that best fits this data.
$g(x) =$
Of these two, which equation best fits the data?
Linear
Exponential

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Problem 56421

The matrix $C = \begin{bmatrix} 11 & 1 & 14 \\ -6 & -3 & -6 \\ -11 & -1 & -14 \end{bmatrix}$ has two distinct eigenvalues with $\lambda_1 < \lambda_2$ .
The smaller eigenvalue $\lambda_1 =$ has multiplicity and the dimension of the corresponding eigenspace is.
The larger eigenvalue $\lambda_2 =$ has multiplicity and the dimension of the corresponding eigenspace is.
Is the matrix $C$ diagonalizable? choose

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Problem 56422

Try to solve In each of the following figures: $\overline{DE} \parallel \overline{BC}$ . Find the numerical value of $x$ (length measured in centimetres)

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Problem 56423

1. In each of the following figures: $\overline{DE} \parallel \overline{BC}$ . Find the numerical value of $x$ (length measured in centimetres)

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Problem 56424

Fossils Found in Layer Mammoth tusks in unconsolidated sediment Fossil jaw of mammal-like reptile Scale trees and seed ferns Scale trees and seed ferns Eurypterids Nautiloids and ammonoids
(Not drawn to scale) Use the above image to answer the question. Which of the following fossils are found in the oldest layer? Nautiloids and ammonoids Eurypterids Mammoth tusks Scale trees and seed ferns

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Problem 56425

Complete the table below, using the Bronsted-Lowry definition, by entering the missing chemical formulas: (Do not use subscripts and superscripts in your answer. Example, $H_2CO_4^-$ would be written as H2CO4-)
Acid | Base | Conjugate Acid | Conjugate Base ---|---|---|--- $HCO_3^-$ | | $NH_4^+$ | | $OH^-$ | | $H_2I$

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Problem 56426

3. a) What is the mass of the fish hanging from the spring scale shown here if the scale reads 32 N while in the stationary elevator? ↑ b) What's the acceleration of the elevator and fish when the spring scale reads 49 N?

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Problem 56427

6. Sind Matematik 2. Ödev Fasikîla UYGULAMA Tom Sayilar ve Kesirlerle iglemier
1. Aşağıdaki ifadelerdekì noktalı yerleri uygun sayılarla doldurunuz. a. Mutlak değeri 2 ile 5 arasında olan tam sayılar $\qquad$ tûr. b. Üç basamaklı rakamlan farklı 3 ile tam bōlünebilen en küçük pozitif tam sayı $\qquad$ dir. c. Sayı doğrusunda 4 noktasına 7 birim uzaklıkta olan iki nokta $\qquad$ ve $\qquad$ tam sayilardir. d. Bir sayı ile dörtte birinin farkı o sayının $\qquad$ 'üne eşittir. e. Bir kesri $\frac{2}{5}$ ile bölmek, o sayıyı $\qquad$ ondalık gösterimiyle çarpmak ile aynıdır. f. $\frac{\star}{40}<2$ olduğuna göre $\star$ yerine yazılabilecek en bŭyūk doğal sayı . $\qquad$ 'dur. g.
A : $\frac{7}{11}$ işleminin sonucunun tam sayı olması için $A$ yerine gelebilecek en kûçūk doğal sayI $\qquad$ 'dir. h. 0,375 ondalık gösterimine $\qquad$ kesrini eklediğimizde sonuç en kŭçûk pozitif tam sayı olur. I. $\frac{31}{5}$ 'ten küçük en būyük tam sayı . $\qquad$ 'dir. ab, 375 ondalık gösteriminde virgülü iki basamak sağa kaydırmak için bu sayıyı $\qquad$ ile j. çarpmalıyız. k. 0, a sayısını 0, bc ile çarptığımızda sonuç $\qquad$ ile $\qquad$ arasinda olur. I. 13,075 ondalık gősteriminde basamak değeri en kücuuk olan rakam $\qquad$ 'dir. m. -20 'den küçük en büyŭk tam sayı $\qquad$ 'dir. n. Bir sayıyı 0,01 ile bölmek o sayıyı $\qquad$ doğal sayıs il ile çarpmak ile aynıdır. o. -6 ile 10 sayılarına eşit uzaklikta olan tam sayı $\qquad$ 'dir.

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Problem 56428

The figure above is drawn for a monopolistically competitive firm. To maximize profit, the firm will charge a price of

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Problem 56429

On a bicycle, Delfina rides for 5 hours and is 22 miles from her house. After riding for 10 hours, she is 42 miles away.
What is Delfina's rate over the last 5 hours? miles per hour mph

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Problem 56430

$z^{-8} \cdot z^{-3} =$ First use the product rule to multiply the terms and then rewrite the expression using positive exponents. (Simplify your answer. Use positive exponents only.) This test: 35 point(s) possible This question: 1 point(s) possible Question 1 of 35

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Problem 56431

Convert to decimal notation.
$8.55 \cdot 10^7$
$8.55 \cdot 10^7 =$
(Simplify your answer. Type an integer or a decimal.)

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Problem 56432

Classify the graph of the system as consistent or inconsistent and as dependent or independent. Then match it with the correct system.
Is the system consistent or inconsistent? Consistent Inconsistent
Are the equations dependent or independent? Independent Dependent Which system matches the graph? A. $y=7 x, y=-4 x$ B. $x=7, y=-4$ C. $x=-4, y=7$
Solution $(7,-4)$

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Problem 56433

Simplify. a. $7^2$ b. $7^{-2}$ c. $(\frac{1}{7})^2$ d. $(\frac{1}{7})^{-2}$ e. $-7^2$ f. $(-7)^2$
a. $7^2 = \square$ b. $7^{-2} = \square$ c. $(\frac{1}{7})^2 = \square$ d. $(\frac{1}{7})^{-2} = \square$ e. $-7^2 = \square$ f. $(-7)^2 = \square$

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Problem 56434

Simplify. $(np)^4$
Choose the simplified form of $(np)^4$ . A. $n^5 p^5$ B. $np^5$ C. $n^4 p^4$ D. $np^4$ Question 32 of 35

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Problem 56435

Simplify $(f^{-4})^{-9}$ $(f^4)^{-9} = \Box$ (Simplify your answer. Type exponential notation using

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Problem 56436

What is the meaning of this expression? $4^3$ = ▢ (Type your answer as a product. Do not simplify.)

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Problem 56437

The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The graph represents the two companies' prices. What is the linear equation that represents each T-shirt company? Shirt Box: Just Tees: $(4, 60)$ $(6, 63)$ Shirt Box Just Tees

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Problem 56438

D. Indicate how many significant figures there are in each of the following measured values
1. $107.854=$
2. $0.678=$
3. $1.008=$
4. $0.00340=$
5. $700000 \square=$

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Problem 56439

Refer to the accompanying data display that results from a sample of airport data TInterval speeds in Mbps. Complete parts (a) through (c) below.
Click the icon to view a t distribution table. $\begin{array}{l} (13.046,22.15) \\ x=17.598 \\ S x=16.01712719 \\ n=50 \end{array}$ a. What is the number of degrees of freedom that should be used for finding the critical value $t_{\alpha / 2}$ ? $\mathrm{df}=$ (Type a whole number.)

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Problem 56440

G. Calculate the denominator of the fraction that is equal to the stated fraction with the numerator shown. \begin{tabular}{cll} \hline Fraction & Numerator & Denominator \\ \hline 1. $12 / 36$ & 144 & \\ \hline 2. $84 / 6$ & 42 & \\ \hline 3. $1 / 16$ & 8 & \\ \hline \end{tabular}

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Problem 56441

$f(x) = \begin{cases} -1 + \frac{\sqrt{x^2+1}-1}{x} & \text{si } x < 0 \\ 1 + \frac{x^2+3x}{x+1} & \text{si } x > 0 \\ 0 & \text{si } x = 0 \end{cases}$
Soit la fonction $f$ définie par : ... $f(0) = 0$
1. a) Calculer le limites de $f$ en $-\infty$ . Interpréter graphiquement le résultat obtenu.
b) Calculer les limites de $f$ en $+\infty$ . Montrer que la droite dont une équation : $y = x+3$ est une asymptote à ...
(C) au voisinage de $+\infty$ .
2. Etudier la continuité de $f$ en $0$ .

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Problem 56442

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If $h$ represents the hours of the trip Erin will be driving, then $h \ge 3$ and $h \le 6$ represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality $d < 70h$ . What are the possible hours and distances Erin could be driving?
When graphing this scenario, let $h$ be the horizontal variable and $d$ be the vertical variable.
For the inequality $h \ge 3$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. For the inequality $h \le 6$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. For the inequality $d < 70h$ , the graph should be shaded \_\_\_\_\_\_\_\_\_\_ the boundary line. One possible solution for Erin is \_\_\_\_\_\_\_\_\_\_.

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Problem 56443

2. Find the rate of change of the area of a square with respect to its edge when the edge is 4 inches long.
3. Find the rate of change of the surface area of a tetrahedron with respect to its edge when the edge measures 4 ft.
4. The height of a right circular cone is always twice its base radius. Find the rate of change of its volume with respect to its height when the radius is 6 cm.
5. Find the rate of change of the perimeter of an isosceles right triangle with respect to its hypotenuse.

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Problem 56444

Number Systems Complex Numbers
11. Evaluate $1 + \frac{1+i}{\sqrt{2}} + \left(\frac{1+i}{\sqrt{2}}\right)^2 + \left(\frac{1+i}{\sqrt{2}}\right)^3 + \left(\frac{1+i}{\sqrt{2}}\right)^4$ .

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Problem 56445

$g = 1 \text{ kg} \cdot \text{m} \cdot \text{N}$
Exercise 04: A block (M) of mass m is thrown from the top of an inclined plane AB=1m at an angle $\alpha = 45^\circ$ to the horizontal, with initial velocity $V_A = 1 \text{ m/s}$ . 1- Knowing that the coefficient of friction $\mu = 0.5$ on AB. - Demonstrate, what is the nature of the motion on AB? - Calculate the speed of (M) when it reaches point B. 2- Friction forces are considered negligible on the horizontal plane:

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Problem 56446

Aşağıda verilen eş uzunluktaki iki cetvel kendi içlerinde eş parçalara ayrıImıştır. \begin{tabular}{|c|c|c|c|c|c|} \hline 0 cm & 1 cm & 2 cm & 3 cm & 4 cm & cr \\ \hline \end{tabular} $\begin{array}{l} 11111111111 \\ 0 \mathrm{~cm} \quad 1 \mathrm{~cm} \quad 2 \mathrm{~cm} \quad 3 \mathrm{~cm} \quad 4 \mathrm{~cm} \quad 5 \mathrm{~cm} \\ \hline \end{array}$
Bu cetveller yardımıyla ölçülen iplerin uzunluklart toplamk kaç santimetredir? A) $\frac{59}{12}$ B) $\frac{67}{12}$ C) $\frac{73}{12}$ D) $\frac{77}{12}$

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Problem 56447

$5^{2(x+1)}+621 \times 10=100 \times 4^{x}$

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Problem 56448

Given the equation of the circle $(x - 1)^2 + (y + 2)^2 = 16$ and a line passing through the point $(5, 4)$ , find the exact equation of the tangent line to the circle.
A. $2x - 3y + 13 = 0$ B. $5x - 12y + 23 = 0$ C. $5x - 13y + 32 = 0$ D. $5x - 12y + 6 = 17$

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Problem 56449

Find the sum of the first 20 terms of the arithmetic progression (AP) where the first term is 7 and the common difference is 5.
A. 1090 B. 1050 C. 1200 D. 1150

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Problem 56450

Exercice 1 (c) .35 min 07 pt
On considère les polynômes $\boldsymbol{P}$ et $\boldsymbol{Q}$ définis par: $P(x)=-x^{3}-6 x^{2}+9 x+14 \text { et } Q(x)=x^{4}-5 x^{2}+4$
1. a) Vérifier que $(-1)$ est une racine de $P$ . b) Factoriser alors $P(x)$ . c) Résoudre dans $\mathbb{R}$ l'équation $P(x)=0$
En déduire l'ensemble des solutions dans IR de l'équation $x \sqrt{x}-6 x-9 \sqrt{x}+14=0$ b) a) Factoriser le trinôme $T(x)=x^{2}-5 x+4$ . c) En déduire une factorisation du polynôme $Q(x)$ . b) Résoudre dans $\mathbb{R}$ l'équation $\sqrt{Q(x)}=2$ d) Soit $f(x)=\frac{P(x)-Q(x)}{x^{2}+2 x+5}$ a/ Déterminer le domaine de définition de $f$ . b/ Montrer que $f(x)=-x^{2}+x+2$ et vérifier que $f(x)-f(x+1)=2 x$ c/ En déduire la somme $S_{n}=1+2+3+\cdots+n$ où n est un entier naturel supérieur à 2 .

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Problem 56451

$n = 28$ , $p = 0.55$ Mean: $\mu =$ Variance: $\sigma^2 =$ Standard deviation: $\sigma =$ Part 3 of 4

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Problem 56452

Determine where the following function is (a) increasing, (b) decreasing, and (c) determine where relative extrema occur. Do not sketch the graph. $y=\left(x^{2}-64\right)^{4}$ (a) On which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) $(-8,0),(8, \infty)$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing. (b) On which interval(s) is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is decreasing.

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Problem 56453

Determine where the following function is (a) increasing, (b) decreasing, and (c) determine where relative extrema occur. Do not sketch the graph. $y=\frac{15}{\sqrt{x}}$ (a) On which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing.

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Problem 56454

What is $-4 \times \frac{2}{11}$ ? Give your answer in its simplest form.

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Problem 56455

Find a value for $c$ and a value for $d$ that make this equation correct: $5 \times 10^c + 5 \times 10^d = 50,500$

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Problem 56456

Hazel spends $\frac{3}{7}$ of her money in the music shop and $\frac{1}{2}$ in the clothes shop.
What fraction of her money does she spend in total? Give your answer in its simplest form.

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Problem 56457

What is the value of $r$ in the equality below $600,000 \times 10^4 = 600 \times 10^r$

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Problem 56458

3) The composite wall of a house - from inside to outside - is consist of the following layers: plaster $\left(1 \mathrm{~cm}, 0.81 \frac{\mathrm{~W}}{\mathrm{~m} \cdot \mathrm{~K}}\right)$ , red brick $\left(45 \mathrm{~cm}, 0.77 \frac{\mathrm{~W}}{\mathrm{~m} \cdot K}\right), \operatorname{EPS}\left(10 \mathrm{~cm}, 004 \frac{\mathrm{~W}}{\mathrm{~m} \cdot K}\right)$ . The thickness and thermal conductivity of the layers are given in brackets. The surface area of the wall is $15 \mathrm{~m}^{2}$ , the convection heat transfer coefficients are $10 \frac{\mathrm{~W}}{\mathrm{~m}^{2} K}$ and $20 \frac{\mathrm{~W}}{\mathrm{~m}^{2} \mathrm{~K}}$ on the inner and outer surface of the composite wall respectively. The temperature of air inside the house is $20 \mathrm{C}^{\circ}$ , while the temperature of the air outside is $-10 \mathrm{C}^{\circ}$ . a, Calculate the heat current intensity through the composite wall. b , Calculate the surface temperatures inside and outside, and also the interface temperatures between the plaster and red brick, red brick and EPS layers. c , Draw the temperature distribution through the composite wall.

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Problem 56459

$y = x \ln \left( \frac{x}{13} \right) - x$
(a) On which interval(s) is the function increasing? A. The function is increasing on the interval(s) $(13, \infty)$ .
(b) On which interval(s) is the function decreasing? A. The function is decreasing on the interval(s) $(0, 13)$ .
(c) Where does the relative maximum occur? B. There is no relative maximum.
Where does the relative minimum occur? A. The relative minimum occurs at $x =$ .

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Problem 56460

$y = 9x^4 - 18x^2$
On which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on the interval(s) $(-1, 0), (1, \infty)$ (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. There is no interval on which the function is increasing.
On which interval(s) is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. There is no interval on which the function is decreasing.

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Problem 56461

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let $X$ represent the shop's profit on a randomly selected pizza. Here's the probability distribution of $X$ along with summary statistics:
| | Small | Medium | Large | | :-------- | :---- | :----- | :---- | | $X$ = profit (\$) | 4 | 8 | 12 | | $P(X)$ | 0.18 | 0.50 | 0.32 |
Mean: $\mu_X = \$8.56$ Standard deviation: $\sigma_X = \$2.77$
The company is going to run a promotion where customers get $\$2$ off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let $Y$ represent their profit on a randomly selected pizza with this promotion.
What are the mean and standard deviation of $Y$ ?
$\mu_Y =$ ______ dollars $\sigma_Y =$ ______ dollars

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Problem 56462

Q.2 : Graph the line that represents each linear equation
1. $y - 2 = 2(x + 3)$
2. $y + 3 = -2(x + 1)$
3. $y + 1 = -\frac{3}{5}(x + 5)$

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Problem 56463

$33 \times 50$ का गेट बाहर वाल दिवाल $9$ इन्च अंदर वाला $4$ इन्च है. चार बेडरूम $11 \times 4$ और एक $11 \times 12$ का

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Problem 56464

Find the P-value for the indicated hypothesis test with the given standardized test statistic, $z$ . Decide whether to reject $H_0$ for the given level of significance $\alpha$ . Right-tailed test with test statistic $z = 1.39$ and $\alpha = 0.04$ . P-value = (Round to four decimal places as needed.)

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Problem 56465

54. Seja $z = \frac{i}{i+1} + \frac{1}{i}$
a) Obtenha a forma algébrica e a trigonométrica de $z$ .
b) Qual é a forma trigonométrica de $z^2$ ?

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Problem 56466

56. Obtenha a forma algébrica de cada um dos seguintes números complexos: a) $z = 4(\cos 120^\circ + i \sin 120^\circ)$ b) $z = 3(\cos 90^\circ + i \sin 90^\circ)$ c) $z = \cos 210^\circ + i \sin 210^\circ$ d) $z = \sqrt{2}(\cos 135^\circ + i \sin 135^\circ)$

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Problem 56467

Tickets to the spring festival are being sold online. The ticket price is $\$8$ per person. The expression $8t + 2$ represents the total cost for $t$ tickets, including a $\$2$ service fee.
You can evaluate the expression $8t + 2$ by substituting a number for $t$ .
Mr. Mathes purchases 4 tickets for his family. Find the value of the expression when $t = 4$ .
$8t + 2 = 8(\text{ ? }) + 2$

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Problem 56468

Pass the necessary journal entries in the books of Reshi Raj,
(a) On 1 April 2023, Cash Purchases ₹20,000.
(b) On 9 April 2023, Sold goods to Rama at the list price of ₹60,000 at a trade discount of 10%.

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Problem 56469

Pass the necessary journal entries in the books of Reshi Raj,
(a) On 1 April 2023, Cash Purchases ₹20,000.
(b) On 9 April 2023, Sold goods to Rama at the list price of ₹60,000 at a trade discount of 10%.

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Problem 56470

$f(x) = x^2 - 2$
a) Berechnen Sie $f'(-2)$ mithilfe des Differenzenquotienten für $h \to 0$ .
b) Bestimmen Sie die Steigung der Funktion an der Stelle 3 mithilfe des Differenzenquotienten für $h \to 0$ .
c) Beschreiben Sie, welcher Zusammenhang zwischen $x_0$ und $f'(x_0)$ besteht.

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Problem 56471

3 Eine Schale enthält vier rote und drei blaue Kugeln. Es werden zufällig zwei Kugeln mit Zurück- legen entnommen. Mit welcher Wahrscheinlichkeit a) sind es zwei rote Kugeln, b) ist eine Kugel blau und eine rot, c) ist mindestens eine rote Kugel dabei, d) ist höchstens eine blaue Kugel dabei?

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Problem 56472

$1.25^{-0.2} =$ $\left(\frac{5}{3}\right)^{2.2} =$

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Problem 56473

Solve the equation. $(\sqrt{2})^{x+7} = 4^x$ The solution set is $\{\quad\}$ . (Type an integer or a fraction.)

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Problem 56474

What is $7/24 + 5/6$ ? Give your answer as an improper fraction. For example $3/2$ . $\frac{7}{24} + \frac{5}{6} = \frac{?}{?}$

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Problem 56475

$2/3 + 1/6 + 7/12 = ?$
Give your answer as an improper fraction. For example $3/2$ .

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Problem 56476

Which of the following are characteristics of a normal distribution? The normal distribution curve crosses the $x$ axis. The normal distribution curve is symmetric about the standard deviation. The total area under the normal distribution curve is 1.00 .
The area under the part of a normal curve that lies within 3 standard deviations of the mean is approximately 0.95 . The area under the part of a normal curve that lies within 1 standard deviation of the mean is approximately 0.68 . The normal distribution curve is unimodal. A normal distribution curve is bell shaped. The mean, median, and mode are located at the center of the distribution. The normal curve is a discrete distribution.
The area under the part of a normal curve that lies within 2 standard deviations of the mean is approximately 0.95 . Check

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Problem 56477

12 multiplied by 12 12 multiplied by 13 12 multiplied by 14 12 multiplied by 15 12 multiplied by 16 12 multiplied by 17 12 multiplied by 18 12 multiplied by 19 12 multiplied by 20 12 multiplied by 21 12 multiplied by 22 12 multiplied by 23 12 multiplied by 24 12 multiplied by 25

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Problem 56478

Find the derivative of the function $f(x) = \frac{2x^2}{x^2 - 25}$ .

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Problem 56479

Find the slope of the line passing through the points $(6, 9)$ and $(6, -6)$ .
slope:
Find the slope of the line passing through the points $(-2, 3)$ and $(9, 3)$ .
slope:

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Problem 56480

1. Consider a normal population distribution with the value of $\sigma$ known. a. What is the confidence level for the interval $\bar{x} \pm 2.81 \sigma / \sqrt{n}$ ? b. What is the confidence level for the interval $\bar{x} \pm 1.44 \sigma / \sqrt{n}$ ? c. What value of $z_{\alpha/2}$ in the CI formula (7.5) results in a confidence level of 99.7%? d. Answer the question posed in part (c) for a confidence level of 75%.

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Problem 56481

3. Find the future value at the end of 3 years of $\$225$ invested today and on the next two anniversaries at an interest rate of 7 percent compounded quarterly.

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Problem 56482

4. A CI is desired for the true average stray-load loss $\mu$ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with $\sigma = 3.0$ .
a. Compute a 95% CI for $\mu$ when $n = 25$ and $\bar{x} = 58.3$ .
b. Compute a 95% CI for $\mu$ when $n = 100$ and $\bar{x} = 58.3$ .
c. Compute a 99% CI for $\mu$ when $n = 100$ and $\bar{x} = 58.3$ .
d. Compute an 82% CI for $\mu$ when $n = 100$ and $\bar{x} = 58.3$ .
e. How large must $n$ be if the width of the 99% interval for $\mu$ is to be 1.0?

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Problem 56483

12. A random sample of 110 lightning flashes in a certain region resulted in a sample average radar echo duration of $0.81$ sec and a sample standard deviation of $0.34$ sec ("Lightning Strikes to an Airplane in a Thunderstorm," J. of Aircraft, 1984: 607-611). Calculate a 99% (two-sided) confidence interval for the true average echo duration $\mu$ , and interpret the resulting interval.

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Problem 56484

For the exponential function $f$ , find $f^{-1}$ analytically al
$f(x) = 9^x - 1$
$f^{-1}(x) =$
(Simplify your answer.)
Use the graphing tool to graph both $f$ and $f^{-1}$ . Click to enlarge graph

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Problem 56485

8. From a can of milk containing 37.50 litres of milk, the milkman delivers 29.535 litres to one marriage hall, If he is to supply 33.80 litres of milk to the next marriage hall, then how much more milk should be added to the milk left in the can?

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Problem 56486

Find the minimum $y$ -value on the graph of $y = 8x^2 - 32x + 37$ .
The minimum $y$ -value is $\boxed{\phantom{00}}$ .

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Problem 56487

Find the value of $x$ . $45^\circ$ $83^\circ$ $x^\circ$

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Problem 56488

After 15 minutes this patient (Q11) is not adequately anesthetized, you now administer one cartridge of 2% lidocaine, 1:100,000 epinephrine, buffered with 0.1 mL of 8.4% sodium bicarbonate.
a) How many total mL of drug have they now received? b) How many mg per mL in an 8.4% buffering agent (BA)? c) How many mg per cartridge of an 8.4% buffering agent (BA)? d) How many mg of each drug have they received? e) How many total mg of drug have they received? f) How many more mg of local anesthetic could this pt have? g) What is the limiting drug? h) What will you document in the chart for this appointment (including dosages from Q11)

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Problem 56489

$\text{Use the method of cylindrical shells to find the volume of the region bounded by } x = 2 + (y-5)^2 \text{ and } x = 3, \text{ when revolved around the } x\text{-axis.}$

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Problem 56490

At Cycle and Sport, customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bike, and Meg is renting an electric scooter.
Which expression represents the total cost for Ari to rent a bike for $b$ hours and Meg to rent a scooter for $s$ hours?
$9 + 10 \cdot b + s$ $9 + 10$ $(9 + b) + (10 + s)$ $9b + 10s$
Rentals Bike $\$9/h$ Electric scooter $\$10/h$ Kayak $\$18/h$ Canoe $\$20/h$ Paddleboard $\$22/h$ Helmet Add $\$6$

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Problem 56491

Solve the inequality for $y$ . $-5.4 > 0.8 + y$ Simplify your answer as much as possible.

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Problem 56492

Douglas Corporation plans to sell 24,000 units of Product A during July and 30,000 units during August. Sales of Product A during June were 25,000 units. Past experience has shown that end-of-month inventory should equal 3,000 units plus 30% of the next month's sales. On June 30 this requirement was met. Based on these data, how many units of Product A must be produced during the month of July?
Multiple Choice 22,200 25,800 24,000 28,800

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Problem 56493

13. The article "Extravisual Damage Detection: Defining the Standard Normal Tree" (Photogrammetric Engr. and Remote Sensing, 1981: 515-522) discusses there use of color infrared photography in identification of normal trees in Douglas fir stands. Among data reported were summary statistics for green-filter analytic optical densitometric measurements on samples of both healthy and diseased trees. For a sample of 69 healthy trees, the sample mean dye-layer density was 1.028, and the sample standard deviation was 0.163. a. Calculate a $95\%$ (two-sided) CI for the true average dye-layer density for all such trees. b. Suppose the investigators had made a rough guess of 0.16 for the value of $s$ before collecting late a $95\%$ (two-sided) confidence interval for the proportion of all dies that pass the probe.

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Problem 56494

$T_B = 1600 \text{ N} \cdot \text{m}$ $60 \text{ mm}$ $36 \text{ mm}$ $T_A = 800 \text{ N} \cdot \text{m}$ $250 \text{ mm}$ $375 \text{ mm}$ $400 \text{ mm}$
The aluminum rod AB ( $G = 27 \text{ GPa}$ ) is bonded to the brass rod BD ( $G = 39 \text{ GPa}$ ). Knowing that portion CD of the brass rod is hollow and has an inner diameter of 40 mm, determine the angle of twist at A.

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Problem 56495

Concentration of $CO_2$ in the Atmosphere
Levels of carbon dioxide ( $CO_2$ ) in the atmosphere are rising rapidly, far above any levels ever before recorded. Levels were around 280 parts per million in 1800, before the Industrial Age, and had never, in the hundreds of thousands of years before that, gone above 300 ppm. Levels are now over 400 ppm. The table below shows the rapid rise of $CO_2$ concentrations over the 55 years from 1960-2015 (data also available in Carbon Dioxide). We can use this information to predict $CO_2$ levels in different years.
| Year | $CO_2$ | |---|---| | 1960 | 316.91 | | 1965 | 320.04 | | 1970 | 325.48 | | 1975 | 331.11 | | 1980 | 338.75 | | 1985 | 346.12 | | 1990 | 354.39 | | 1995 | 360.82 | | 2000 | 369.55 | | 2005 | 379.80 | | 2010 | 389.90 | | 2015 | 400.81 |
Concentration of carbon dioxide in the atmosphere
Click here to the dataset associated with this question. Use the 3 e version of the dataset.
If using StatKey, the data needed is preloaded in the drop-down menu in the upper left corner. Click here to access StatKey.
Dr. Pieter Tans, NOAA/ESRL, http://www.esrl.noaa.gov/gmd/ccgg/trends/. Values recorded at the Mauna Loa Observatory in Hawaii.
(a) What is the explanatory variable? What is the response variable? * Year is the explanatory variable and $CO_2$ concentration is the response variable. $CO_2$ concentration is the explanatory variable and Year is the response variable.
(b) Use technology to find the correlation between year and $CO_2$ levels. Round your answer to three decimal places.
(c) Use technology to calculate the regression line to predict $CO_2$ from year. Round your answer for the intercept to one decimal place and your answer for the slope to three decimal places. $CO_2 =$ + (Year)
(d) Interpret the slope of the regression line, in terms of carbon dioxide concentrations. The slope tells the predicted number of years for the $CO_2$ level to go up by that amount. The slope tells the predicted number of years for the $CO_2$ level to go up by one. The slope tells the predicted $CO_2$ level one year later. The slope tells the predicted change in $CO_2$ level one year later.
(e) What is the intercept of the line? Round your answer to one decimal place. The intercept is ____ (Does it make sense in context?)
(f) Use the regression line to predict the $CO_2$ level in 2003. Use rounded slope and the intercept from part (c). Then round your answer to one decimal place. $CO_2$ level in 2003: ____
Use the regression line to predict the $CO_2$ level in 2005. Use rounded slope and the intercept from part (c). Then round your answer to one decimal place. $CO_2$ level in 2005:
(g) Find the residual for 2010. Use rounded slope and the intercept from part (c). Then round your answer to two decimal places. Residual for 2010:

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Problem 56496

Computer output for fitting a simple linear model is given below. State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the $p$ -value and use it (and a 5\% significance level) to make a clear conclusion about the effectiveness of the model.
The regression equation is $Y = 84.8 - 0.0127X$ .
Predictor | Coef | SE Coef | T | P ---|---|---|---|---| Constant | 84.81 | 12.17 | 6.97 | 0.000 X | -0.01265 | 0.01054 | -1.20 | 0.245
Sample slope: $p$ -value:
Does X appear to be an effective predictor of the response variable Y? eTextbook and Media Save for Later Attempts: 0 of 3 used

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Problem 56497

The amount of carbon-14 present in animal bones after $t$ years is given by $A(t) = A_0 e^{-0.00012t}$ . A sample of fossil had 28% of the carbon 14 of a contemporary living sample. Estimate the age of the sample.
The age of the sample is ___ years. (Round to the nearest year as needed.)

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Problem 56498

If $5c - 2 = 3c$ , then $24c =$ [basic] A. 6 B. 8 C. 16 D. 24

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Problem 56499

5. Um sistema de comunicações é constituido por um cabo de 160 Km . Considere que a potência entregue ao cabo é de 5 W e que existem m repetidores ao longo do cabo. Cada repetidor tem um ganho de \mathbf{8 0 ~ d B ~ e ~ a ~ p o t e ̂ n c i a ~ m i ́ n i m a ~ a ~ s u a ~ e n t r a d a ~ e ́ ~ d e ~} 40 \mu \mathrm{~W}. Considere $\boldsymbol{\alpha}$ (atenuação provocada pelo cabo) igual a 2db/Km. Determine: a. O número de repetidores a instalar e a posição de cada um no sistema, de modo a que a potencia entregue a saida seja de pelo menos 2 W b. Mostre qual a relação entre a potência expressa em dBm e dBw c. Mostre que se $|\mathrm{H}(\mathrm{f})|=-3 \mathrm{~dB}$ , entäo $|\mathrm{H}(\mathrm{f})|=1 / 2^{0.5}$ d. Indique que tipos de distorção na transmissão

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Problem 56500

$y = 3x^2 + 90x + 50$

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Math

Problem 56401

Question 5Watch the video that describes using summation notation. Click here to watch the video. Evaluate the sum. ∑j=110(j+3)\sum_{j=1}^{10}(j+3)j=1∑10​(j+3) ∑j=110(j+3)=\sum_{j=1}^{10}(j+3)=∑j=110​(j+3)= □\square□ (Simplify your answer.)

Problem 56402

(sin⁡(5x))4=−12cos⁡(x)+18cos⁡(x)(\sin(5x))^4 = \boxed{} - \frac{1}{2}\cos(\boxed{}x) + \frac{1}{8}\cos(\boxed{}x)(sin(5x))4=​−21​cos(​x)+81​cos(​x)

Problem 56403

Problem 56404

Problem 56405

Question Solve the following equation for θ\thetaθ on the interval [0,2π)[0, 2\pi)[0,2π).2sec⁡(θ)+3=02 \sec(\theta) + 3 = 02sec(θ)+3=0Round your answers to the nearest thousandth of a radian.Provide your answer below:

Problem 56406

Find a possible formula for the trigonometric function whose values are in the following table.| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |y=y =y=

Problem 56407

In the diagram below, which number represents endocrine signaling? Signaling cell Target cell bloodstream

Problem 56408

[−/2 Points][-/2 \text{ Points}][−/2 Points] DETAILS MY NOTES HARMATHAP12 12.1.007. Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.) ∫8x5 dx\int 8x^5 \, dx∫8x5dx Submit Answer

Problem 56409

Problem 56410

What is the area, in square units, of triangle BCD? Triangle BCD, with vertices B(-6,-9), C(-2,-4), and D(-8,-3), is drawn inside a rectangle, as shown below.

Problem 56411

A population of rabbits oscillates 32 above and below average during the year, hitting the lowest value in January (t=0t = 0t=0). The average population starts at 950 rabbits and increases by 5% each month. Find an equation for the population, PPP, in terms of the months since January, ttt.

Problem 56412

In Exercises 11-16, write a piecewise function represented by the graph. Example 3 11. 12. 13. 14. 15. 16.

Problem 56413

4. Mary and Joe can complete a job together in 6 hours. Mary can do the job in 14 hours working alone. How long would it take Joe to complete the job if he is working alone?

Problem 56414

Find the midpoint of the segment with the following endpoints. (0,8)(0, 8)(0,8) and (6,4)(6, 4)(6,4)

Problem 56415

Problem 56416

5. The decay constant for a particular radioactive element is 0.015 when time is measured in years. Find the half-life of this element.

Problem 56417

Problem 56418

Piecewise Function represented by Graph 15

Problem 56419

4. [Maximum mark: 4] Solve for n: (n2)−2n=20\binom{n}{2} - 2n = 20(2n​)−2n=20

Problem 56420

Problem 56421

Problem 56422

Try to solve In each of the following figures: DE‾∥BC‾\overline{DE} \parallel \overline{BC}DE∥BC. Find the numerical value of xxx (length measured in centimetres)

Problem 56423

1. In each of the following figures: DE‾∥BC‾\overline{DE} \parallel \overline{BC}DE∥BC. Find the numerical value of xxx (length measured in centimetres)

Problem 56424

Problem 56425

Problem 56426

3. a) What is the mass of the fish hanging from the spring scale shown here if the scale reads 32 N while in the stationary elevator? ↑ b) What's the acceleration of the elevator and fish when the spring scale reads 49 N?

Problem 56427

Problem 56428

The figure above is drawn for a monopolistically competitive firm. To maximize profit, the firm will charge a price of

Problem 56429

On a bicycle, Delfina rides for 5 hours and is 22 miles from her house. After riding for 10 hours, she is 42 miles away.What is Delfina's rate over the last 5 hours? miles per hour mph

Problem 56430

z−8⋅z−3=z^{-8} \cdot z^{-3} = z−8⋅z−3= First use the product rule to multiply the terms and then rewrite the expression using positive exponents. (Simplify your answer. Use positive exponents only.) This test: 35 point(s) possible This question: 1 point(s) possible Question 1 of 35

Problem 56431

Convert to decimal notation.8.55⋅1078.55 \cdot 10^78.55⋅1078.55⋅107=8.55 \cdot 10^7 = 8.55⋅107=(Simplify your answer. Type an integer or a decimal.)

Problem 56432

Problem 56433

Problem 56434

Simplify. (np)4(np)^4(np)4Choose the simplified form of (np)4(np)^4(np)4. A. n5p5n^5 p^5n5p5 B. np5np^5np5 C. n4p4n^4 p^4n4p4 D. np4np^4np4 Question 32 of 35

Problem 56435

Simplify (f−4)−9(f^{-4})^{-9}(f−4)−9 (f4)−9=□ (f^4)^{-9} = \Box (f4)−9=□ (Simplify your answer. Type exponential notation using

Problem 56436

What is the meaning of this expression? 434^343 = ▢ (Type your answer as a product. Do not simplify.)

Problem 56437

Problem 56438

D. Indicate how many significant figures there are in each of the following measured values1. 107.854=107.854=107.854=2. 0.678=0.678=0.678=3. 1.008=1.008=1.008=4. 0.00340=0.00340=0.00340=5. 700000□=700000 \square=700000□=

Problem 56439

Problem 56440

Problem 56441

Problem 56442

Problem 56443

Problem 56444

Number Systems Complex Numbers11. Evaluate 1+1+i2+(1+i2)2+(1+i2)3+(1+i2)41 + \frac{1+i}{\sqrt{2}} + \left(\frac{1+i}{\sqrt{2}}\right)^2 + \left(\frac{1+i}{\sqrt{2}}\right)^3 + \left(\frac{1+i}{\sqrt{2}}\right)^41+2​1+i​+(2​1+i​)2+(2​1+i​)3+(2​1+i​)4.

Problem 56445

Problem 56446

Problem 56447

52(x+1)+621×10=100×4x5^{2(x+1)}+621 \times 10=100 \times 4^{x}52(x+1)+621×10=100×4x

Problem 56448

Problem 56449

Find the sum of the first 20 terms of the arithmetic progression (AP) where the first term is 7 and the common difference is 5.A. 1090 B. 1050 C. 1200 D. 1150

Problem 56450

Problem 56451

Question 5
Watch the video that describes using summation notation. Click here to watch the video. Evaluate the sum. $\sum_{j=1}^{10}(j+3)$ $\sum_{j=1}^{10}(j+3)=$ $\square$ (Simplify your answer.)

$(\sin(5x))^4 = \boxed{} - \frac{1}{2}\cos(\boxed{}x) + \frac{1}{8}\cos(\boxed{}x)$

Question Solve the following equation for $\theta$ on the interval $[0, 2\pi)$ .
$2 \sec(\theta) + 3 = 0$
Round your answers to the nearest thousandth of a radian.
Provide your answer below:

Find a possible formula for the trigonometric function whose values are in the following table.
| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |
$y =$

$[-/2 \text{ Points}]$ DETAILS MY NOTES HARMATHAP12 12.1.007. Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.) $\int 8x^5 \, dx$ Submit Answer

A population of rabbits oscillates 32 above and below average during the year, hitting the lowest value in January ( $t = 0$ ). The average population starts at 950 rabbits and increases by 5% each month. Find an equation for the population, $P$ , in terms of the months since January, $t$ .

Find the midpoint of the segment with the following endpoints. $(0, 8)$ and $(6, 4)$

4. [Maximum mark: 4] Solve for n: $\binom{n}{2} - 2n = 20$

Try to solve In each of the following figures: $\overline{DE} \parallel \overline{BC}$ . Find the numerical value of $x$ (length measured in centimetres)

1. In each of the following figures: $\overline{DE} \parallel \overline{BC}$ . Find the numerical value of $x$ (length measured in centimetres)

On a bicycle, Delfina rides for 5 hours and is 22 miles from her house. After riding for 10 hours, she is 42 miles away.
What is Delfina's rate over the last 5 hours? miles per hour mph

$z^{-8} \cdot z^{-3} =$ First use the product rule to multiply the terms and then rewrite the expression using positive exponents. (Simplify your answer. Use positive exponents only.) This test: 35 point(s) possible This question: 1 point(s) possible Question 1 of 35

Convert to decimal notation.
$8.55 \cdot 10^7$
$8.55 \cdot 10^7 =$
(Simplify your answer. Type an integer or a decimal.)

Simplify. $(np)^4$
Choose the simplified form of $(np)^4$ . A. $n^5 p^5$ B. $np^5$ C. $n^4 p^4$ D. $np^4$ Question 32 of 35

Simplify $(f^{-4})^{-9}$ $(f^4)^{-9} = \Box$ (Simplify your answer. Type exponential notation using

What is the meaning of this expression? $4^3$ = ▢ (Type your answer as a product. Do not simplify.)

D. Indicate how many significant figures there are in each of the following measured values
1. $107.854=$
2. $0.678=$
3. $1.008=$
4. $0.00340=$
5. $700000 \square=$

Number Systems Complex Numbers
11. Evaluate $1 + \frac{1+i}{\sqrt{2}} + \left(\frac{1+i}{\sqrt{2}}\right)^2 + \left(\frac{1+i}{\sqrt{2}}\right)^3 + \left(\frac{1+i}{\sqrt{2}}\right)^4$ .

$5^{2(x+1)}+621 \times 10=100 \times 4^{x}$

Find the sum of the first 20 terms of the arithmetic progression (AP) where the first term is 7 and the common difference is 5.
A. 1090 B. 1050 C. 1200 D. 1150

$n = 28$ , $p = 0.55$ Mean: $\mu =$ Variance: $\sigma^2 =$ Standard deviation: $\sigma =$ Part 3 of 4

What is $-4 \times \frac{2}{11}$ ? Give your answer in its simplest form.

Find a value for $c$ and a value for $d$ that make this equation correct: $5 \times 10^c + 5 \times 10^d = 50,500$

Hazel spends $\frac{3}{7}$ of her money in the music shop and $\frac{1}{2}$ in the clothes shop.
What fraction of her money does she spend in total? Give your answer in its simplest form.

What is the value of $r$ in the equality below $600,000 \times 10^4 = 600 \times 10^r$

Q.2 : Graph the line that represents each linear equation
1. $y - 2 = 2(x + 3)$
2. $y + 3 = -2(x + 1)$
3. $y + 1 = -\frac{3}{5}(x + 5)$

$33 \times 50$ का गेट बाहर वाल दिवाल $9$ इन्च अंदर वाला $4$ इन्च है. चार बेडरूम $11 \times 4$ और एक $11 \times 12$ का

54. Seja $z = \frac{i}{i+1} + \frac{1}{i}$
a) Obtenha a forma algébrica e a trigonométrica de $z$ .
b) Qual é a forma trigonométrica de $z^2$ ?

Pass the necessary journal entries in the books of Reshi Raj,
(a) On 1 April 2023, Cash Purchases ₹20,000.
(b) On 9 April 2023, Sold goods to Rama at the list price of ₹60,000 at a trade discount of 10%.

Pass the necessary journal entries in the books of Reshi Raj,
(a) On 1 April 2023, Cash Purchases ₹20,000.
(b) On 9 April 2023, Sold goods to Rama at the list price of ₹60,000 at a trade discount of 10%.

$1.25^{-0.2} =$ $\left(\frac{5}{3}\right)^{2.2} =$

Solve the equation. $(\sqrt{2})^{x+7} = 4^x$ The solution set is $\{\quad\}$ . (Type an integer or a fraction.)

What is $7/24 + 5/6$ ? Give your answer as an improper fraction. For example $3/2$ . $\frac{7}{24} + \frac{5}{6} = \frac{?}{?}$