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Problem 28901

Find the fixed points of the sequence defined by $a_{n+1}=\sqrt{30 a_{n}}$ .

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Problem 28902

Find fixed points of the sequence defined by $a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)$ .

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Problem 28903

Find the de Broglie wavelength of a 144 g ball moving at 33.87 m/s. Provide the answer to 3 significant figures.

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Problem 28904

A photon with wavelength $1.57 \mathrm{~nm}$ emits an electron with $61.5 \mathrm{eV}$ . Find the binding energy in J.

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Problem 28905

Calculate the value of $\sin 246^{\circ} 57^{\prime} \cos 23^{\circ} 3^{\prime} + \cos 246^{\circ} 57^{\prime} \sin 23^{\circ} 3^{\prime}$ .

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Problem 28906

Find $\alpha$ in $[0^{\circ}, 90^{\circ}]$ such that $\csc \alpha = 1.4973691$ . Calculate $\alpha \approx$ .

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Problem 28907

Find the grade resistance for a 2000-pound car on a $2.4^{\circ}$ uphill grade using $F=W \sin \theta$ . Answer in pounds.

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Problem 28908

Emma and Kevin are building a gazebo with a polygon base. Find the lumber length and floorboard area needed. Points: A(0,16), B(-15,8), C(-15,-9), D(0,-18), E(15,-9), F(15,8).

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Problem 28909

Find the $11^{\text {th }}$ term of the sequence defined by $2 n^{2}-3$ .

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Problem 28910

Find the de Broglie wavelength of a $142 \mathrm{~g}$ ball moving at $42.36 \mathrm{~m/s}$ . Round to 3 sig figs.

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Problem 28911

Calculate the area of a parallelogram with base 12 in and height 8 in using the formula $Area = base \times height$ .

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Problem 28912

A photon with wavelength $3.10 \mathrm{~nm}$ emits an electron with kinetic energy $96.7 \mathrm{eV}$ . Find the binding energy in J.

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Problem 28913

Find the first negative term $t$ and an expression for the $n^{\text{th}}$ term of the sequence: 32, 26, 20, 14, 8.

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Problem 28914

Emily mixed 9 gal. of Brand A and 8 gal. of Brand $B$ (48% juice). What is the percent of juice in Brand A if the mix is 30%?

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Problem 28915

A 52.93 ft tall building casts a 56.57 ft shadow. Find the sun's angle of elevation to the nearest hundredth of a degree.

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Problem 28916

Find the height of a rectangle with area $28 \mathrm{ft}^{2}$ and base $7 \mathrm{ft}$ . What is $h$ ?

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Problem 28917

Solve the equation $6(3 d+1)-40=9 d+8$ for d.

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Problem 28918

Find the distance to the base of a plateau 19.6 m high with an elevation angle of $16.5^{\circ}$ . Round to one decimal place.

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Problem 28919

Find the hypotenuse $c$ and angles $A$ and $B$ of a right triangle with sides $a=78.2$ yd and $b=40.2$ yd.

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Problem 28920

Find the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

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Problem 28921

Find the number such that $\frac{9}{10}$ times it plus 6 equals 51.

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Problem 28922

Find the missing base of the parallelogram with area $A=576 \mathrm{~cm}^{2}$ and height $h=48 \mathrm{~cm}$ .

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Problem 28923

Find the number if it satisfies the equation: $x - 11 = 12$ .

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Problem 28924

How long (in yr) will it take for 1.00 g of Strontium-90 to decay to 0.200 g, given a half-life of 28.1 yr?

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Problem 28925

How many mg of a metal with 45% nickel is needed to mix with 6 mg of pure nickel for a 78% nickel alloy?

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Problem 28926

Evaluate the limit: $\lim _{x \rightarrow 1} \frac{\sin \left(x^{2}+1\right)}{\sqrt{x}(5-x)}$

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Problem 28927

Determine the protons, neutrons, and electrons in the isotope $\frac{35}{17} \mathrm{Cl}$ .

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Problem 28928

Calculate the de Broglie wavelength of an electron moving at $2.35 \times 10^{6} \mathrm{~m} / \mathrm{s}$ .

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Problem 28929

Find the de Broglie wavelength of an electron moving at $2.35 \times 10^{6} \mathrm{~m/s}$ . Choices: $5.14 \times 10^{-37} \mathrm{~m}$ , $2.74 \times 10^{-10} \mathrm{~m}$ , $3.10 \times 10^{-10} \mathrm{~m}$ , $3.23 \times 10^{9} \mathrm{~m}$ .

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Problem 28930

Find the value of $(x-2y)(x+2y)$ for $x=4$ and $y=\frac{1}{2}$ . Choices: 8, 9, 14, 15.

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Problem 28931

Solve for $y$ : $-1 > 2 - y$ .

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Problem 28932

Determine the neutrons, electrons, and protons in Thorium isotope $\frac{238}{90} Th$ .

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Problem 28933

What is the probability that an event does not happen if its probability is $2 / 9$ ? Options: 0, $1 / 9$ , $2 / 9$ , $7 / 9$ .

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Problem 28934

How many dinner combinations can be made with 5 appetizers, 4 main courses, and 5 desserts?

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Problem 28935

A photon with a wavelength of $1.53 \mathrm{~nm}$ emits an electron with $147 \mathrm{eV}$ . Find the electron's binding energy in J.

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Problem 28936

How many liters of cheese sauce are needed for 80 servings if 4.5 liters is for 150 servings? Options: 2.1, 2.4, 3.0, 8.4, 15.5.

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Problem 28937

Find the de Broglie wavelength of a 145 g ball moving at 36.77 m/s. Round your answer to 3 significant figures.

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Problem 28938

Solve for $n$ in the inequality: $-17 < -3 - n$ .

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Problem 28939

Evaluate: $2 \cdot 5 - 4 + 11$

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Problem 28940

Divide 14 by 53. Enter your answer as a mixed number in simplest form.

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Problem 28941

Find the greatest common factor of 3 and 9.

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Problem 28942

Find the greatest common factor of 36 and 48.

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Problem 28943

Calculate: $3(5+2)-4 \div 2$

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Problem 28944

Calculate: $2(8-5)+14 \div 7$

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Problem 28945

Calculate: $6 + 4 + 3(4 + 1)$

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Problem 28946

Find the greatest common factor of the numbers 6, 28, and 30: $6, 28, 30$ .

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Problem 28947

Divide 621 by 21. Enter your answer in the box.

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Problem 28948

Calculate the result of -2 + 5.

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Problem 28949

In triangle $XYZ$ , angle $YXZ$ is $50^{\circ}$ and angle $XYZ$ is $75^{\circ}$ . Find angle $XZY$ in degrees.

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Problem 28950

Calculate the result of -2 + (-1).

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Problem 28951

Calculate $4^{3}-|-8| \cdot 6 \div 16$ .

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Problem 28952

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

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Problem 28953

An object travels on a path that draws out a square which is 20 meters on a side. The object starts at corner A , and moves towards corner $B$ . When it is halfway to corner $B$ with a speed of 10 meters per second, at what rate is the object's distance from corner C (the corner directly opposite corner A) changing? Do not simplify your answer.

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Problem 28954

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

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Problem 28955

Using Half-Angle Formulas In Exercises $73, \underline{74}, \underline{75}$ , and $\underline{76}$ , use the given conditions to a. determine the quadrant in which $u / 2$ lies, and b. find the exact values of $\sin (u / 2), \cos (u / 2)$ , and $\tan (u / 2)$ using the half-angle formulas.
73. $\tan u=\frac{4}{3}, \quad \pi<u<\frac{3 \pi}{2}$
Answer

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Problem 28956

2. Dr. Smith gives a $20 \%$ discount if his customers pay cash for their office visit. Determine the cost of a $\$ 65$ office visit if the customer pays cash.

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Problem 28957

Sinth grede S. 6 Write an equhalent ratio NEA
Find the number that makes the ratio equivalent to 99:45. $\square$ : 5 Submit

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Problem 28958

9. The original price of a collectible model airplane is $\$ 115$ . The discounted price is \ $99. What is the percent of discount to the nearest percent?<br />10. Andrea ordered a computer from Amazon. The computer cost$ \ $1499$ plus a $7.5 \%$ sales tax. What was the total amount of the computer?
11. In a video game, Diego scored $50 \%$ more points than Tyler. If $c$ is the amount of points that Diego scored and $t$ is the number of points Tyler scored, which equations are correct? Select all that apply. a) $c=1.5 t$ b) $c=t+0.5$ c) $c=t+0.5 t$ d) $c=t+50$ e) $c=(1+0.5) t$
12. A flower shop used $25 \%$ more roses this month than last month. If the flower shop used 340 roses last month, how many did they use this month?
13. The cost of an item is $\$ 26.75$ . The sales tax is $\$ 1.74$ . What is the sales tax rate?
14. A car dealership pays $\$ 12,350$ for a car. They mark up the price by $18.5 \%$ to get the retail price. What is the retail price of the car at the dealership?

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Problem 28959

CENGAGE ESID lookup PowerZone Gmail One.IU I All IU Ca... Canvas Customer Enreoll... ESID lookup PowerZone Gmail One.IU I All IU Ca... Canvas 9: Markov Chains and the Theory of Games Search this course the statements true. In the provided box, separate each two-word phrase with a comma but no space. For example: augmented matrix,word application. Spelling counts.
The following image, $X_{0}=\left[\begin{array}{c} p_{1} \\ p_{2} \\ \vdots \\ p_{n} \end{array}\right]$ state 1 staten $\left[\begin{array}{c} \text { state } 1 \\ \cdots \\ \text { state } n \end{array}\left[\begin{array}{ccc} a_{11} & \cdots & a_{1 n} \\ \vdots & \ddots & \vdots \\ a_{n 1} & \cdots & a_{n n} \end{array}\right]\right.$ , represents a $\qquad$ . The next matrix, $\left[\begin{array}{c}p_{1} \\ p_{2} \\ \vdots \\ \vdots \\ p_{n}\end{array}\right]$ called a distribution vector. If $T$ represents the $n \times n$ transition matrix associated with the Markov process, then the probability distribution of the system after $m$ observations is given by $X_{m}=T^{m} X_{0}$
Applied Example 6 Taxi Movement between Zones is called a $\qquad$ . Lastly $X_{m}=T^{m} X_{0}$ , is called a $\qquad$ -
Type your answer here transition matrix, distribution vector,
To keep track of the location of its cabs, Zephyr Cab has divided a town into three zones: Zone I. Zone II. and Zone III. Zephvr's SUBMIT

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Problem 28960

11. Evaluate the following exactly. a) $\cos \left(\frac{25 \pi}{12}\right)$ b) $\sin \left(\frac{19 \pi}{12}\right)$

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Problem 28961

Use the surface integral in Stokes' Theorem to calculate the circulation of the field $\mathbf{F}$ around the curve C in the indicated direction. $\mathbf{F}=y \mathbf{i}+x z \mathbf{j}+x^{2} \mathbf{k}$
C: The boundary of the triangle cut from the plane $8 x+y+z=8$ by the first octant, counterclockwise when viewed from above.
The circulation is $\square$ (Type an integer on fraction.)

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Problem 28962

Test Content Page 2 of 9
Question 2 Identify the inverse of the given conditional proposition: If a function is continuous, then it is differentiable.

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Problem 28963

For many years, organized crime ran a numbers game that is now run legally by many state governments. The player selects a three-digit number from 000 to 999 . There are 1000 such numbers. A bet of $\$ 4$ is placed on a number, say number 115. If the number is selected, the player wins $\$ 2500$ . If any other number is selected, the player wins nothing. Find the expected value for this game and describe what this means.
The expected value of the numbers game is \\square$ . (Round to the nearest cent.)

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Problem 28964

Keith must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 3 pairs of pants to choose from. How many different outfits can he make? $\square$

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Problem 28965

A company produces two types of solar panels per year: $x$ thousand of type $A$ and $y$ thousand of type $B$ . The revenue and cost equations, in millions of dollars, for the year are given as follows. $\begin{array}{l} R(x, y)=3 x+2 y \\ C(x, y)=x^{2}-4 x y+9 y^{2}+13 x-58 y-8 \end{array}$
Determine how many of each type of solar panel should be produced per year to maximize profit.
The company will achieve a maximum profit by selling $\square$ solar panels of type A and selling $\square$ solar panels of type B.

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Problem 28966

here is a line that includes the point $(10,-9)$ and has a slope of 2 . What is its equation in oint-slope form? se the specified point in your equation. Write your answer using integers, proper fractions nd improper fractions. Simplify all fractions. $y$ - $\square$ $=$ $\square$ ( $x$ - $\square$ ) $\square$ Submit

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Problem 28967

There is a line that includes the point $(4,3)$ and has a slope of $\frac{1}{4}$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $y-\square=\square)$

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Problem 28968

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

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Problem 28969

$\int_{1}^{5} w^{2} \ln (w) d w$

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Problem 28970

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

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Problem 28971

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

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Problem 28972

Use the method of Lagrange multipliers. Minimize $f(x, y)=x^{2}+y^{2}$ subject to $-2 x+4 y=20$
The x -coordinate of the minimum is $\mathrm{x}=-2$ . The $y$ -coordinate of the minimum is $y=$

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Problem 28973

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit

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Problem 28974

Question Watch Video
Given the three functions below, which expression equals $(d \circ w$ $d(x)=5 x$ $w(x)=\sqrt{x+5} \quad z(x)=x^{4}$
Answer $\sqrt{(5 x)^{4}+5}$ $\sqrt{5 x^{4}+5}$ $\sqrt{5 x+5^{4}}$ $5 \sqrt{x^{4}+5}$

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Problem 28975

30. Find the exact values. a) $\cos 15^{\circ}$ b) $\sin \frac{11 \pi}{12}$

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Problem 28976

6. A student forgets to turn off a $6.00 \times 10^{2} \mathrm{~W}$ block heater of a car when the weather turns warm. If 14 h goes by before he shuts it off, how much energy is used by the heater? (Hint....think back to unit 3 energy formulas). (you answer)

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Problem 28977

Elizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

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Problem 28978

Percentiles
The weights (in pounds) of 20 preschool children are $39,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,22$ Send data to calculator Send data to Excel
Find $10^{\text {th }}$ and $75^{\text {th }}$ percentiles for these weights. (If necessary, consult a list of formulas.) (a) The $10^{\text {th }}$ percentile: II pounds (b) The $75^{\text {th }}$ percentile: $\square$ pounds Explanation Check

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Problem 28979

$\lim _{h \rightarrow 0} \frac{(x+h)^{3}-x^{3}}{h}$

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Problem 28980

Score: 0/3 Penalty: 0.25 off Watch Video Show Examples
Question Find the slope of a line perpendicular to the line whose equation is $9 x-3 y=81$ . Fully simplify your answer. Answer Attempt 1 out of 2 Submit Answer

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Problem 28981

Solve for $y$ . $18+-1 y>19$ $\square$ Submit

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Problem 28982

12. Le réservoir d'essence de la voiture de Léonie peut contenir 50 L .
Lorsqu'elle roule sur l'autoroute, sa voiture consomme 10 L par 100 km . En ville, elle consomme 12 L par 100 km . Léonie a fait le plein dimanche. Depuis, elle a parcouru 120 km en ville et 150 km sur l'autoroute.
Quelle distance peut-elle encore parcourir sur l'autoroute sans faire le plein?
Réponse : $\qquad$ km sur l'autoroute.

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Problem 28983

Solve for $h$ . $\frac{h}{3}+6 \leq 5$ $\square$ Submit

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Problem 28984

A radio tower is located 375 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is $39^{\circ}$ and that the angle of depression to the bottom of the tower is $30^{\circ}$ . How tall is the tower? $\square$ feet Question Help: Video

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Problem 28985

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event $X$ : The letter selected comes before " $D$ ". Event $Y$ : The letter selected is found in the word "C $A G E$ ". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event " $X$ or $Y$ ": \{D\} (b) Event " $X$ and $Y$ ": \{ \} (c) The complement of the event $X$ : $\square$

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Problem 28986

For the parabola $y=-2 x^{2}+4 x-3$ find the vertex. $(4,-3)$ $(1,-1)$ $(-1,1)$ $(-3,4)$

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Problem 28987

Find the discriminant of the equation $5 x^{2}+7 x+3=0$ . 28 34 $-11$ $-53$

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Problem 28988

(a) The $\left[\mathrm{H}^{+}\right]$ of a solution is $2.7 \times 10^{-6}$ Calculate the pH . (b) The $\left[\mathrm{OH}^{-}\right]$ of a solution is $3.2 \times 10^{-8}$ Calculate the pOH . (c) The $\left[\mathrm{H}^{+}\right]$ of a solution is $5.4 \times 10^{-3}$ Calculate the $\left[\mathrm{OH}^{-}\right]$ . (d) The $\left[\mathrm{OH}^{-}\right]$ of a solution is $1.8 \times 10^{-9}$ Calculate the $\left[\mathrm{H}^{+}\right]$ .

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Problem 28989

Video
Miles is helping his mom paint their family's deck. His mom bought 2 gallons of primer for $\$ 79.90$ and 4 gallons of paint for $\$ 171.80$ . How much more does paint cost per gallon than primer? \\square$ per gallon Submit

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Problem 28990

Exercice 15. Résoudre les équations suivantes:
1. $x(x+2)(x-1)=0$ .
2. $(x+3)(1-2 x)=0$ .
3. $x^{2}-4=0$ .
4. $9-x^{2}=0$ .
5. $3 x^{2}-7 x+4=0$ .

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Problem 28991

Find an ordered pair $(x, y)$ that is a solution to the equation. $\begin{array}{c} 4 x-y=9 \\ (x, y)=(I: D) \end{array}$

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Problem 28992

For problems $1-6$ solve the equations. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places 1) $2^{z}=70$ 2) $e^{3 x+1}-200=240$ 3) $10^{5+8 x}+4200=84000$ 4) $80=320 e^{-0.5 t}$ 5) $5^{x+1}=75$ 6) $11^{1-8 x}=9^{2 x+3}$

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Problem 28993

EXERCICE III：5,5pts $\mathrm{F}-\mathrm{ABC}$ est un triangle équilatéral de côté 1 et O est le milieu de $[\mathrm{AB}]$ . Prendre 5 cm comme unité.
1. Soit (D) l'ensemble de points $M$ du plan tels que $M A^{2}-M B^{2}=-1$ . a) Montrer que M appartient à (D) si, et seulement si $\overrightarrow{O M} \cdot \overrightarrow{A B}=-\frac{1}{2}$ . b) Déterminer et construire l'ensemble des points (D).
2. Soit (C) l'ensemble des points $M$ du plan tels que $M A^{2}+M B^{2}=\frac{5}{2}$ . a) Montrer que M appartient à (C) si, et seulement si $20 M^{2}+\frac{1}{2} A B^{2}=\frac{5}{2} \quad 0,5 \mathrm{pt}$ b) Déterminer et construire l'ensemble des points ( C ). 0,5pt 1 pt 1 pt
G - Le système de sécurité d'une porte est une serrure à code. La porte est muni d'un dispositif portant les touches $1,2,3,4,5,6,7,8,9$ et $\mathrm{A}, \mathrm{B}, \mathrm{C}$ , D . la porte s'ouvre lorsqu'on frappe dans l'ordre trois chiffres et deux lettres qui forment le code. Les chiffres sont nécessairement distincts et les lettres non.
1. Quel est le nombre de codes possibles ? 1pt
2. Déterminer le nombre de codes répondant aux critères suivants : Scared avec Canflanner a) Les trois chiffires sont pairs. $0,5 \mathrm{pt}$ b) Les deux lettres sont identiques 0.5 pt c) Le code contient exactement deux chiffres impairs. $0,5 \mathrm{pt}$

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Problem 28994

In rolling two fair six sided dice and adding the number appearing on each face, what is the probability that the number is a multiple of 4 ?
1. $\frac{1}{2}$ (2) $\frac{2}{9}$ $3 \frac{1}{12}$ $4 \frac{1}{4}$

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Problem 28995

9. What is the solution of the inequality $2 x-9<7$ ? (A) $x<8$ (B) $x \leq 8$ (C) $x>8$ (D) $x \geq 8$

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Problem 28996

What is the correct answer to the following single step calculation? Remember to use the correct number of significant figures in your answer. $12500+275=$ $\qquad$ 12800 10000 12775 13000

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Problem 28997

Less than -1 $8\left(-\frac{1}{2}\right)$
Equal to -1 $-3\left(\frac{1}{3}\right)$ $-\frac{7}{8}\left(\frac{8}{7}\right)$ Greater than -1 $\frac{4}{5}\left(-\frac{4}{5}\right)$

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Problem 28998

Question 7: Let $\left\{\boldsymbol{u}_{1}, \boldsymbol{u}_{2}, \boldsymbol{u}_{3}\right\}$ be an orthonormal basis for a three-dimensional subspace $S$ of an inner product space $V$ , and let $\boldsymbol{x}=2 \boldsymbol{u}_{1}-\boldsymbol{u}_{2}+\boldsymbol{u}_{3} \quad \text { and } \quad \boldsymbol{y}=\boldsymbol{u}_{1}+\boldsymbol{u}_{2}-4 \boldsymbol{u}_{3} .$ a) Determine the value of $\langle\boldsymbol{x}, \boldsymbol{y}\rangle$ . b) Determine the value of $\|\boldsymbol{x}\|$ .

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Problem 28999

A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 10 feet and a depth of 2 feet. How far from the base of the dish should the receiver be placed?
The receiver should be placed $\square$ feet from the base of the dish. (Simplify your answer.)

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Problem 29000

AP Catoulus AB
1. Given the Table of $f(x)$ shown betow, find $\frac{\text { d }}{d r} g(4)$ given $f^{-2}(x)=g(x)$ \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 0 & 1 & 2 & 4 \\ \hline $f(x)$ & $-1 / 2$ & 4 & 2 & 0 \\ \hline $f(x)$ & 0 & $3 / 4$ & 7 & -1 \\ \hline \end{tabular} $g(4), f^{-1}(k)=\cdots$ $\frac{d x}{d x}(g(4))=-$
2. Given $x^{2} y-4 x^{3}=2 \pi$ find the value of $\frac{d y}{d x}$ at the point $(1,0)$ $\begin{array}{c} 2 x^{\prime}-12 x^{2}=2 \pi \\ \frac{d y}{d x}=2(1)^{1}-12(1)^{2}=2 \pi 2^{2}-2 \pi \\ 2-12-2 \pi \\ -10-2 \pi \\ \frac{d y}{d x}=-10-2 \pi \end{array}$
3. Given $h(x)=\underset{\operatorname{\operatorname {sin}} \sin \left(2 x^{-1}-1\right)}{ }$ Find $\frac{d}{d x} h(x)$ $n^{-1}(x)=\sin ^{-1}($

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Problem 28901

Find the fixed points of the sequence defined by an+1=30ana_{n+1}=\sqrt{30 a_{n}}an+1​=30an​​.

Problem 28902

Find fixed points of the sequence defined by an+1=12(an+3an)a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)an+1​=21​(an​+an​3​).

Problem 28903

Find the de Broglie wavelength of a 144 g ball moving at 33.87 m/s. Provide the answer to 3 significant figures.

Problem 28904

A photon with wavelength 1.57 nm1.57 \mathrm{~nm}1.57 nm emits an electron with 61.5eV61.5 \mathrm{eV}61.5eV. Find the binding energy in J.

Problem 28905

Calculate the value of sin⁡246∘57′cos⁡23∘3′+cos⁡246∘57′sin⁡23∘3′\sin 246^{\circ} 57^{\prime} \cos 23^{\circ} 3^{\prime} + \cos 246^{\circ} 57^{\prime} \sin 23^{\circ} 3^{\prime}sin246∘57′cos23∘3′+cos246∘57′sin23∘3′.

Problem 28906

Find α\alphaα in [0∘,90∘][0^{\circ}, 90^{\circ}][0∘,90∘] such that csc⁡α=1.4973691\csc \alpha = 1.4973691cscα=1.4973691. Calculate α≈\alpha \approxα≈.

Problem 28907

Find the grade resistance for a 2000-pound car on a 2.4∘2.4^{\circ}2.4∘ uphill grade using F=Wsin⁡θF=W \sin \thetaF=Wsinθ. Answer in pounds.

Problem 28908

Emma and Kevin are building a gazebo with a polygon base. Find the lumber length and floorboard area needed. Points: A(0,16), B(-15,8), C(-15,-9), D(0,-18), E(15,-9), F(15,8).

Problem 28909

Find the 11th 11^{\text {th }}11th term of the sequence defined by 2n2−32 n^{2}-32n2−3.

Problem 28910

Find the de Broglie wavelength of a 142 g142 \mathrm{~g}142 g ball moving at 42.36 m/s42.36 \mathrm{~m/s}42.36 m/s. Round to 3 sig figs.

Problem 28911

Calculate the area of a parallelogram with base 12 in and height 8 in using the formula Area=base×heightArea = base \times heightArea=base×height.

Problem 28912

A photon with wavelength 3.10 nm3.10 \mathrm{~nm}3.10 nm emits an electron with kinetic energy 96.7eV96.7 \mathrm{eV}96.7eV. Find the binding energy in J.

Problem 28913

Find the first negative term ttt and an expression for the nthn^{\text{th}}nth term of the sequence: 32, 26, 20, 14, 8.

Problem 28914

Emily mixed 9 gal. of Brand A and 8 gal. of Brand BBB (48% juice). What is the percent of juice in Brand A if the mix is 30%?

Problem 28915

A 52.93 ft tall building casts a 56.57 ft shadow. Find the sun's angle of elevation to the nearest hundredth of a degree.

Problem 28916

Find the height of a rectangle with area 28ft228 \mathrm{ft}^{2}28ft2 and base 7ft7 \mathrm{ft}7ft. What is hhh?

Problem 28917

Solve the equation 6(3d+1)−40=9d+86(3 d+1)-40=9 d+86(3d+1)−40=9d+8 for d.

Problem 28918

Find the distance to the base of a plateau 19.6 m high with an elevation angle of 16.5∘16.5^{\circ}16.5∘. Round to one decimal place.

Problem 28919

Find the hypotenuse ccc and angles AAA and BBB of a right triangle with sides a=78.2a=78.2a=78.2 yd and b=40.2b=40.2b=40.2 yd.

Problem 28920

Find the height of a rectangle with area 32 cm232 \mathrm{~cm}^{2}32 cm2 and base 8 cm8 \mathrm{~cm}8 cm. What is hhh?

Problem 28921

Find the number such that 910\frac{9}{10}109​ times it plus 6 equals 51.

Problem 28922

Find the missing base of the parallelogram with area A=576 cm2A=576 \mathrm{~cm}^{2}A=576 cm2 and height h=48 cmh=48 \mathrm{~cm}h=48 cm.

Problem 28923

Find the number if it satisfies the equation: x−11=12x - 11 = 12x−11=12.

Problem 28924

How long (in yr) will it take for 1.00 g of Strontium-90 to decay to 0.200 g, given a half-life of 28.1 yr?

Problem 28925

How many mg of a metal with 45% nickel is needed to mix with 6 mg of pure nickel for a 78% nickel alloy?

Problem 28926

Evaluate the limit: lim⁡x→1sin⁡(x2+1)x(5−x)\lim _{x \rightarrow 1} \frac{\sin \left(x^{2}+1\right)}{\sqrt{x}(5-x)}x→1lim​x​(5−x)sin(x2+1)​

Problem 28927

Determine the protons, neutrons, and electrons in the isotope 3517Cl\frac{35}{17} \mathrm{Cl}1735​Cl.

Problem 28928

Calculate the de Broglie wavelength of an electron moving at 2.35×106 m/s2.35 \times 10^{6} \mathrm{~m} / \mathrm{s}2.35×106 m/s.

Problem 28929

Problem 28930

Find the value of (x−2y)(x+2y)(x-2y)(x+2y)(x−2y)(x+2y) for x=4x=4x=4 and y=12y=\frac{1}{2}y=21​. Choices: 8, 9, 14, 15.

Problem 28931

Solve for yyy: −1>2−y-1 > 2 - y−1>2−y.

Problem 28932

Determine the neutrons, electrons, and protons in Thorium isotope 23890Th\frac{238}{90} Th90238​Th.

Problem 28933

What is the probability that an event does not happen if its probability is 2/92 / 92/9? Options: 0, 1/91 / 91/9, 2/92 / 92/9, 7/97 / 97/9.

Problem 28934

How many dinner combinations can be made with 5 appetizers, 4 main courses, and 5 desserts?

Problem 28935

A photon with a wavelength of 1.53 nm1.53 \mathrm{~nm}1.53 nm emits an electron with 147eV147 \mathrm{eV}147eV. Find the electron's binding energy in J.

Problem 28936

How many liters of cheese sauce are needed for 80 servings if 4.5 liters is for 150 servings? Options: 2.1, 2.4, 3.0, 8.4, 15.5.

Problem 28937

Find the de Broglie wavelength of a 145 g ball moving at 36.77 m/s. Round your answer to 3 significant figures.

Problem 28938

Solve for nnn in the inequality: −17<−3−n-17 < -3 - n−17<−3−n.

Problem 28939

Evaluate: 2⋅5−4+112 \cdot 5 - 4 + 112⋅5−4+11

Problem 28940

Divide 14 by 53. Enter your answer as a mixed number in simplest form.

Find the fixed points of the sequence defined by $a_{n+1}=\sqrt{30 a_{n}}$ .

Find fixed points of the sequence defined by $a_{n+1}=\frac{1}{2}\left(a_{n}+\frac{3}{a_{n}}\right)$ .

A photon with wavelength $1.57 \mathrm{~nm}$ emits an electron with $61.5 \mathrm{eV}$ . Find the binding energy in J.

Calculate the value of $\sin 246^{\circ} 57^{\prime} \cos 23^{\circ} 3^{\prime} + \cos 246^{\circ} 57^{\prime} \sin 23^{\circ} 3^{\prime}$ .

Find $\alpha$ in $[0^{\circ}, 90^{\circ}]$ such that $\csc \alpha = 1.4973691$ . Calculate $\alpha \approx$ .

Find the grade resistance for a 2000-pound car on a $2.4^{\circ}$ uphill grade using $F=W \sin \theta$ . Answer in pounds.

Find the $11^{\text {th }}$ term of the sequence defined by $2 n^{2}-3$ .

Find the de Broglie wavelength of a $142 \mathrm{~g}$ ball moving at $42.36 \mathrm{~m/s}$ . Round to 3 sig figs.

Calculate the area of a parallelogram with base 12 in and height 8 in using the formula $Area = base \times height$ .

A photon with wavelength $3.10 \mathrm{~nm}$ emits an electron with kinetic energy $96.7 \mathrm{eV}$ . Find the binding energy in J.

Find the first negative term $t$ and an expression for the $n^{\text{th}}$ term of the sequence: 32, 26, 20, 14, 8.

Emily mixed 9 gal. of Brand A and 8 gal. of Brand $B$ (48% juice). What is the percent of juice in Brand A if the mix is 30%?

Find the height of a rectangle with area $28 \mathrm{ft}^{2}$ and base $7 \mathrm{ft}$ . What is $h$ ?

Solve the equation $6(3 d+1)-40=9 d+8$ for d.

Find the distance to the base of a plateau 19.6 m high with an elevation angle of $16.5^{\circ}$ . Round to one decimal place.

Find the hypotenuse $c$ and angles $A$ and $B$ of a right triangle with sides $a=78.2$ yd and $b=40.2$ yd.

Find the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

Find the number such that $\frac{9}{10}$ times it plus 6 equals 51.

Find the missing base of the parallelogram with area $A=576 \mathrm{~cm}^{2}$ and height $h=48 \mathrm{~cm}$ .

Find the number if it satisfies the equation: $x - 11 = 12$ .

Evaluate the limit: $\lim _{x \rightarrow 1} \frac{\sin \left(x^{2}+1\right)}{\sqrt{x}(5-x)}$

Determine the protons, neutrons, and electrons in the isotope $\frac{35}{17} \mathrm{Cl}$ .

Calculate the de Broglie wavelength of an electron moving at $2.35 \times 10^{6} \mathrm{~m} / \mathrm{s}$ .

Find the value of $(x-2y)(x+2y)$ for $x=4$ and $y=\frac{1}{2}$ . Choices: 8, 9, 14, 15.

Solve for $y$ : $-1 > 2 - y$ .

Determine the neutrons, electrons, and protons in Thorium isotope $\frac{238}{90} Th$ .

What is the probability that an event does not happen if its probability is $2 / 9$ ? Options: 0, $1 / 9$ , $2 / 9$ , $7 / 9$ .

A photon with a wavelength of $1.53 \mathrm{~nm}$ emits an electron with $147 \mathrm{eV}$ . Find the electron's binding energy in J.

Solve for $n$ in the inequality: $-17 < -3 - n$ .

Evaluate: $2 \cdot 5 - 4 + 11$

Calculate: $3(5+2)-4 \div 2$

Calculate: $2(8-5)+14 \div 7$

Calculate: $6 + 4 + 3(4 + 1)$

Find the greatest common factor of the numbers 6, 28, and 30: $6, 28, 30$ .

In triangle $XYZ$ , angle $YXZ$ is $50^{\circ}$ and angle $XYZ$ is $75^{\circ}$ . Find angle $XZY$ in degrees.

Calculate $4^{3}-|-8| \cdot 6 \div 16$ .

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from leas greatest separated by a comma. $x^{2}+4=0$ $\square$

2. Dr. Smith gives a $20 \%$ discount if his customers pay cash for their office visit. Determine the cost of a $\$ 65$ office visit if the customer pays cash.

Sinth grede S. 6 Write an equhalent ratio NEA
Find the number that makes the ratio equivalent to 99:45. $\square$ : 5 Submit

11. Evaluate the following exactly. a) $\cos \left(\frac{25 \pi}{12}\right)$ b) $\sin \left(\frac{19 \pi}{12}\right)$

Test Content Page 2 of 9
Question 2 Identify the inverse of the given conditional proposition: If a function is continuous, then it is differentiable.

Keith must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 3 pairs of pants to choose from. How many different outfits can he make? $\square$

Find the value of $x$ such that $f(x) = 0$ for the function $f(x) = 2x^4 - 8x^2 + 5x - 7$ .

$\int_{1}^{5} w^{2} \ln (w) d w$

Solve using substitution. $\begin{array}{l} y=-6 \\ -5 x+6 y=-11 \end{array}$ $\square$ $\square$ Submit

Solve using elimination. $\begin{array}{l} -2 x+y=6 \\ -2 x+2 y=-4 \end{array}$ $(\square, \square)$ Submit

Use the method of Lagrange multipliers. Minimize $f(x, y)=x^{2}+y^{2}$ subject to $-2 x+4 y=20$
The x -coordinate of the minimum is $\mathrm{x}=-2$ . The $y$ -coordinate of the minimum is $y=$

Solve using elimination. $\begin{array}{l} -5 x+6 y=6 \\ 9 x-6 y=18 \end{array}$ $\square$ $\square$ Submit