c) log4 32 17. Find the domain, range, x-intercept, and vertical asymptote of the logarithmic fu f(x) = log-(x + 5) · domain es,。。) 18. Solve for x: 2x41) = 75 2) 1082 2x + 1082 (x + 3) = 1 2x21x3-2 二 フ 4) log, v/X + log9V 2x-3 = 1 unrersion without using a calculator:

Q: converting 2 pi/3 to degreesconverting 400 degrees to radian

A: pi radian = 180 degreesHence, 2pi/3 = 120 degrees

Q: Verify

A: Given equation is: From the rules of trigonometry: 

Q: how do you do this problem you are given the solution set for sin x =-1/2 it asks you to give the so...

A: It is given that

Q: An isosceles triangle is a triangle in which two sides are equal in length. The angle between the tw...

A: Known fact:If two sides of any triangle is equal, then their opposite angles are also equal.The sum ...

Q: Fill in each blank so that the resulting statement is true. The largest possible value for the sine ...

A: We have to fill in the blanks.Question is given below:

Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where...

A:  Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an an...

Q: A point on the end of a tuning fork moves in the simple harmonic motion described by d = a sin ωt. ...

A: We have to find value of omega(w) from given sine function.

Q: using calculus, it can be shown that the arctangent function can be approximated by the polynomial b...

A: The given function and its approximated polynomial are

Q: Find the area of a sector with a central angle of 4.78 rad in a circle of radius 10.2 inches

A: Here given a circle with radius 10.2 inches and center angle given as 4.78 radians. The area of the ...

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c. t...

A: Given, 

Q: Solve for exactly (0, 2π)

A: Firstly, we use double angle formula which is cos2x=1-2(sinx)^2, to get a quadratic in sin (thita/2)...

Q: Draw a right triangle to simplify the given expression   (Simplify your answer, include any radicals...

A: The given expression is sin(cos-1(x/2)).

Q: Use identities to find the value of the expression

A: We are given  

Q: Please explain the solution in a clear manner, step by step.

A:

Q: We are trying to prove identities

A:  Proof:The given Trigonometric identity is 2 tan(x)/(1+sec(x)) + (2+2sec(x))/tan(x)= 4csc(x)The left...

Q: A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What...

A: Let h be the bearing.Given that the ship is 40 miles east and 25 miles south of port.

Q: For the fallowing angle find the radian with the given degree of -200°

A: Here it is required to convert degree to radian, which be done by using the following conversion:

Q: Can someone explain me how to solve this equation?

A: Let us simplify the expression given.

Q: 9. Find the maximum and minimum values of the following curve:

A: To find the maximum and minimum values of the given curve, first we find the critical points.To find...

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: Please explain the solution in a clear manner, step by step.

A: Firstly, we calculate the value of H , by using sine of angle=height/hypotenuse as shown on board.

Q: My questions are being asked in the pics below

A: As per norms , the first three questions are answered.  To apply standard half angle formulae and de...

Q: Can you explain me step by step on how to solve this?

A: For the given angles we need to find the least positive measure that is coterminal.Given angle is -5...

Q: Solve the equation for (0,  2π)

A: Given that

Q: .-) oketen a graph of p(x) =-21x-11 + 4 2 12 6-5 -4 -3-21 1 2 3 456 2 4 0-3 5 6 7. Given f (x) x24, ...

A: As per norms, the three subparts a, b and c are answered. Questions regarding the functions f , g an...

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2 minute...

A: We have given,

Q: Please help me solve the given trigonometric equation.

A: Consider the given equation and replace the term cos(4x) using double angle trigonometric identity. ...

Q: An airplane is 149 miles north and 87 miles east of an airport. The pilot wants to fly directly to t...

A: To find the bearing angle that should be taken by the pilot.

Q: Refer to figure 22, which shows a circle with center at C and a radius of r.  Find r if AB = 4 and A...

A: We have to find value of r from given information as triangle ACD is right angle triangle so  we can...

Q: Evaluate  cos(2 arcsin 1/4)

A: Let us suppose that arcsin1/4=x, that is sinx=1/4, then we use formula for cos2x ,which is cos2x=1-2...

Q: Two angles in standard position that have same terminal side are

A: by the definition of coterminal angles

Q: Find the exact value

A:

Q: How to solve SIN(theta) COT(theta) + 2COS(theta)

A: We have given

Q: It’s a review question.

A: We have to find distance between  two  points where points is given by

Q: A force of 15 lb is required to hold a 67-lb crate on a hill. What angle does this hill make with th...

A: To calculate the angle which is make with the horizontal if the force acting on an object is 15 lb a...

Q: A point on the terminal side of an angle θ in standard position is(−24, 7). Find the exact value of ...

A: Let x = -24 and y = 7Since r = length of line segment drawn from the origin to the point  

Q: thank you soo much

A: a) To evaluate OB, use the pythagoras theorem 

Q: Part (a)

A: As per the trigonometric formulae,Hence, the values of tanα and tanβ are to be calculated.

Q: Find the coordinates and foci of the conic : 4(x+2)2 = 36-9(y-1)2 Find the equations of the asymptot...

A: Given information:The given conic equation is 4(x+2)2 = 36-9(y-1)2.Calculation:First, rewrite the gi...

Q: a window pane has dimensions of 30 inches by 22 inches. If glass sells for $0.80 per square inch, ho...

A: Please follow the steps as on the board.

Q: Find the area of the sector of a circle having the radius 11 feet and the central angle of 52.50 deg...

A: To determine the area of the sector shown.

Q: An airplane flying at 650 miles per hour has a bearing of 55°. After flying for 1.5 hours, how far n...

A: Find the distance travelled in 1.5 hours if the distance travelled per hour is 650 miles.

Q: Question in the file attached

A: using half -angle formula with proper sign attached.( taking into account the quadrant )

Q: Question 5. Find the measure of each amgle in the triangle below?Question 6. Express the Angle x in ...

A: we have to find value of x by triangle propertiespart-1

Q: Find the exact value

A: Given information:The given expression is

Q: How long should an escalator be if it is to make an angle of 34 degrees with the floor and carry peo...

A: We have given,Vertical distance from the floor = 24feetEscalator angle with the floor = 34 degree

Q: Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph bo...

A: We are given a trigonometric expression as 

Q: A wheel has a diameter of 1.5 feet: how many complete revolutions does it make in 9 miles (1mile = 5...

A: Given information:The diameter of mile is 1.5 feet.Formula Used: Evaluate the length of circumferenc...

Q: find tan A and sec A, if A is an angle in standard position with the terminal side is defined by the...

A: First of all we can plot the given point on coordinate axis and draw a relevant triangle for angle A...

Q: Solve the problem. 2) Two tracking stations are on the equator 163 miles apart. A weather balloon is...

A: Given:The distance between two tracking stations on the equator is 163 miles.The angle made by the w...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.