If 0∘<θ<90∘ and tan⁡θ=43, find sin⁡θ using trigonometric identities. 35 34 14 45

Q: Helen cycles for 36 miles. If she managed to go 3 mph faster she would have taken one hour less.…

A: Here is the solution:

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A: Solution: f(x) =x+2 g(x)=3x

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A: Given:       Binomial expansion of 1+x35 The expansion is given by the following formula:…

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A: The objective of the question is determine the half-way between two given Cities.

Q: 7 Let f(x) : x² and g(x) = /3 – x. - 16 Find the domain of f(x) and g(x). Find f(g(x)) and g(f(x)).

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Q: 8. Q4) Let 5 } is a basis for a subspace W. Use the Gram-Schmidt prosses to produce an orthogonal…

A: Here, let v1=30-1, v2=85-6 are the basis element for a subspace of W.

Q: Which is the equivalent of tan⁡θ? cos⁡θ/sin⁡θ sec⁡θ/csc⁡θ sin⁡θ/cos⁡θ csc⁡θ/sec⁡θ

A: Solution

Q: ets kercises 1.1 Let U = {x : x is a distinct letter of the word mathematics}, А 3D {m, а, t, h}, В…

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Q: Solve the following system by the substitution method. 3. x + 2y – z = 4 -x + y+ 3z = 0 x + 5y + z =…

A: In this question , we can solve the system of linear equation by using substitution method .

Q: Which of the following points is the central projection of the point (4, -8, 14) onto the plane x=2?…

A: here only projection on x =2   so the points x cordinate only reduce  here point is  (4-2 , -8 ,14)…

Q: 4. Condense or Expand the following expressions involving logarithms; A. 2 log, a - logs y? B. 3 ln…

A: We can answer the question as instructed in the following steps.

Q: A research lab has a 12 mg sample of a radioactive substance. The amount of the substance, A(t),…

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

A: Use the concept of binomial expansion and write first three terms.

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Q: Our options are A. 3 1/4 ft B. 2 3/4 ft  C. 1 ft  D. 1/2 ft

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Q: What is the revenue function.   ​R(x)=enter your response here

A: Let's find.

Q: 12) Make a table from the graph shown. Then, find the rule relating x and y. y Rule: y = -4 -2 -2

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Q: AMaps 19.4 Muscle Contr... M Medscape Log In *Lab 1: Introductio... PB openvellum.ecolle... K Lo…

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Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(4) e*eU = e²…

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Q: 16 8 5 Find the following matrices where A = and B = 34 6 0 a. A+B b. - 5A c. 3A + 2B a. Select the…

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A: Given : fx=x-12+x+12

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A: Form the equation using a variable and solve it.

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Q: In how many different ways can the letters of the word “CORPORATION” be arranged so that the vowels…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the steady-state vector for the transition matrix. 4151/5

A: Note: According to our expert guidelines only one individual question is to be answered.kindly…

Q: Factor the given polynomial completely: x* + 6x³ + 9x? For the toolbar, press ALT+F10 (PC) or…

A: Given that   X4  +6 x3 +9x2 Now.    X2 (x2 +6x+9)

Q: ) Describe the similarities and differences (at least four in total) between the graph of (x) = 2*…

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Q: Five independent trials of a binomial experiment with probability of success p = 0.7 and the…

A: Given:           p=0.7           q=0.3           n=5     nCx=n!x!n-x!    Binomial distribution…

Q: Take a certain number, multiply it by 5, subtract 6 from that answer, then divide that answer by 2,…

A: Take a certain number, multiply it by 5, subtract 6 from that answer, then divide that answer by 2,…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: Define the binary operator ⋄⋄ by:      a⋄b=7a+7b  and □ by:      a□b=a2+b2 Find the following.…

A: By defining the binary operator ⋄ bya⋄b=7a+7b and □ by: a□b=a2+b2To find the following.4⋄5□2=?

Q: Given the following set of the vectors from M22 1 1 10 0 3 4 6 21 0 2 2 1 8 6 4 6 We can not express…

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Q: Expand as much as possible or condense into a single logarithm. Then simplify. V10x - 4)(x+ 10)5 log

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Q: Expand as much as possible or condense into a single logarithm. Then simplify. V10x log (x2 – 4)(x +…

A: We will expand the given logarithmic function in the following step.

Q: At sea level, the weight of the atmosphere exerts a pressure of 14.7 pounds per square inch,…

A: (d) we have  1 atm pressure=14.7 pounds per square inch 5 atm pressure=(14.7)(5)=73.5 pounds per…

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Q: 43 quadratic polynomial y = 4x + 7x - 3 has roots pand q. Find a quadratic g(z)=z² +ax+ Bwith roots…

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Q: f(x) = -0.05932x+ 147.8, where x is the year. %3D What is the slope of f? -0.05932 - Interpret the…

A: Topic:- function

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A: Given query is to find the amount after 10 years.

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Q: Consider the vectors in M22 () 11 1 0 0 1 nd x3 1 1 0 2 0 2 then S = {x4, x2, X3} is linearly…

A: The vectors in M2×2x1=1111, x2=1002, x3=0102

Q: There are 377 students who are enrolled in an introductory geology course. If there are eight boys…

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