9)-2oos
Q: Find PR. 58° R. Write your answer as an integer or as a decimal rounded to the nearest tenth. PR %3D
A: Given, A right triangle PQR with QR = 5 and ∠R = 58° and ∠Q = 90° We have to find the length ...
Q: Given the function y=-3sin| 2x - +8, determine the following: Rewrite equation: amplitude: period: h...
A: we have, y=-3sin 2x-π6+8 ..............(1)
Q: The drive sytem of a compact disc player uses an equation tan y = cos x-r / sin x where r is the rat...
A: Given, The drive sytem of a compact disc player uses an equation tany=cosx-rsinx ...
Q: The circle in the figure has a radius of r and center at C. The distance from A to B is x. if c=63 d...
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Q: if cosθ=-(1/9) and θ is not in QII find tanθ
A: We will find the value of tanθ. Here we will use the formula . That is Sec2θ - tan2θ =1
Q: 6. Find, without using tables, the values of Cos x and Sin x, when Cos 2x is: a) 1/8 , b) 7/25 , c) ...
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Q: Please graph as well and thank you for your help!
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Q: Find the angular velocity associated with the given rpm. Round to the nearest radian per minute. 29...
A: To convert a revolution per minute measurement to a radian per minutes measurement, multiply the re...
Q: Find the equation of the circle in Standard form if it passes through the points (10,2), (3,9), and ...
A: Given that, Circle Passes through points (10,2) , (3,9) and (-2,10) We have to find Circle in Stan...
Q: a) Find the length of the arc that subtends the given central angle 35° on a circle of diameter 52 c...
A: To solve the given problem
Q: Help I really need jt
A: Note: Since you have posted multiple questions. We will solve the first question for you. If you wan...
Q: Determine the principal value of cos 2
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Q: 6-7 I A trigonometric function is given. (a) Find the amplitude, period, phase, and horizontal shift...
A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...
Q: Find mZC. C 14
A: It can be observed that the given triangle is a right angle triangle with right angle at E. For the ...
Q: A wheelchair ramp must have an angle of elevation of no more than 4.75°. A wooden ramp is available...
A: Given problem is : A wheelchair ramp must have an angle of elevation of no more than 4.75°. A w...
Q: Out of all which ones are true?
A: Use trigonometric angle conversion
Q: Find the measure of the indicated angle to the nearest degree. 53 28 O 28° O 33° O 58° O 32° 20 19 1...
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Q: 2. Choose TWO of the following expressions to common factor: I a. -4x + 12x? - 20x b. 3k + 18 - 21k ...
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Q: Find the measure of the indicated angle to the nearest degree. 10 15 56° O 34° O 42 O 9°
A: Given, A right angle triangle with hypotenuse =15 and perpendicular = 10 We have to find the meas...
Q: A person flying a kite has released 176 m of string. The string makes an angle of 27° with theground...
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Q: Solve sin(theta) + 3cos(theta) = 1
A: Given, sinθ+3cosθ=1
Q: Find UV. V 59° U T. Write your answer as an integer or as a decimal rounded to the nearest tenth. UV...
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Q: 7. If Sin A = 3/5 and Sin B = 5/13, where A and B are acute angles , find without using tables, the ...
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Q: 8 8t 18) cos A 30 24 18 Choose the correct ratio. A) B) 4. 3 C) D) 3
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Q: COS I Q1-Solve by hospital rule lim
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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4) an...
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Q: Find IJ. 290 4 H. Write your answer as an integer or as a decimal rounded to the nearest tenth. IJ =
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Q: Evaluate the following problems of trigonometric functions of complex numbers.
A: Solution:Givensin(2-5i),cos(1+i),tan(3-i)Formula:sin(A-B)=sin A cos B -cos A sin Bcos (A+B)=cos A co...
Q: An escalator in a department store is to carry people a vertical distance of 25 feet between floors....
A: An escalator in a department store is to carry people a vertical distance of 25 feet between floors....
Q: Find FG. G F 3 420 H. Write your answer as an integer or as a decimal rounded to the nearest tenth. ...
A: Given data, In Right angle triangle FGH right angle at G, FH = 3 units m∠H=42°
Q: A planet rotates through one complete revolution every 15 hours. Since the axis of rotation is perpe...
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Q: The question is in the pictures!
A: Solving question 1, according to guidelines.
Q: 7. A sound wave is modeled by the curve y = 3 sin 4x. What is the period of this curve? 4. 3.
A: y=3sin4x
Q: Q2-Prove that
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Q: Find HJ. I. 56° Write your answer as an integer or as a decimal rounded to the ne HJ
A: Given: IJ= 6 Angle of J =56o To find HJ
Q: Example Stem: Triangle ABC is similar to triangle WYZ. Y 26 12 C W 5 Z Determine whether each statem...
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Q: sin z Q1-Solve by hospital rule lim- coS I
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Q: Find mZV. W 6. V Write your answer as an integer or as a decimal rounded to the nearest tenth. mZV =...
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Q: Find the measure of the indicated angle to the nearest degree. 53 47 48° 429 28° 62
A: From the given figure: Let the angle is θ and corresponding to this angle: AB= Perpendicular=47BC...
Q: if sinθ= 2/√5, and θ terminates in QII, find cosθ.
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Q: Find the measure of angle A. Round your answer to the nearest tenth. 62 cm 28 cm A
A: To find The measure of angle A from the given right angled triangle
Q: 3. Solve the equation on the interval 0 <0 < 2n. (20) : COS = cos 0
A: Given cos(2θ)= cosθ .......... (1)
Q: Find the missing side. Round to the nearest tenth. 67 20 O 51.1 O 8.5 O 47.1 O 27.4
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Q: Show clearly all working with detailed explanations
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Q: Compute for the following: a) arc length and b) the area of the sector of the circle having the...
A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...
Q: Example Stem 2: Let sin(30°) Enter the angle measure (B), in %3D degrees, for cos(B) = -.
A: Given : sin30° = 12cosβ = 12
Q: V3 1. If sin 0 = :<0< 2n , find the exact value of each of the following. a) sin (20) b) sin (;)
A: According to our policy, when multiple questions are posted we solve only first question. Sorry for ...
Q: If sin(?) = −1/2, find sin(−?).
A: We use sin(360-a) = -sin(a) and sin(-a) = -sin(a)
Q: Find the measure of the indicated angle to the nearest degree. 25 52 O 61° 26° O 64° O 71°
A: From tignometry, we know
Q: 1.) Solve the equation on the interval[0°, 360°). sin(x) + 1 = cos(x) (Just put number in answer. Do...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is provided below: Flask T Flask C Flask ND 1 8.2 6 5.2 11 6 2 6.8 7 6.1 12 5.1 3 8 8 6.2 13 5.6 4 7.6 9 5.7 14 5.2 5 7.9 10 6.3 15 6.1 a. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance. b. If a drug decreases the doubling time of yeast cells, what could be the purpose of using this drug?
- A researcher designs an experiment using two drugs, she prepares 15 independent flasksof yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is provided below: Flask T Flask C Flask ND 1 8.2 6 5.2 11 6 2 6.8 7 6.1 12 5.1 3 8 8 6.2 13 5.6 4 7.6 9 5.7 14 5.2 5 7.9 10 6.3 15 6.1 Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using a non-parametric method and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e.Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
- 3. (Inspired by 4.10 in Bodine et al.) The basal metabolic rate (kcal/day) of large anteaters is believed to be subject to a power law relationship with its weight (kg). A study was performed measuring several anteaters and reported the following data: Weight (kg) 6.0 28.5 16.0 19.0 23.5 11.0 9.0 25.5 22.0 BMR (kcal/day) 80.1 247.0 162.3 172.4 215.1 111.9 104.6 224.6 208.3 Transform the data correctly to perform a linear least-squares regression, then report your model as y=cxp. Estimate the BMR for a 27 kg anteater.Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)