The IVP sin(t) has a unique solution defined on the interval d²z dt² dz + cos(t)- + sin(t)r dt z(1) = 12 dz dt S tan(t)

Q: Given a,b,c ∈ N. Prove that if a | (b + c) and gcd (b,c) = 1 then gcd (a,b) = gcd (a, c) = 1

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Q: Solve the following for x 23x-1 =1/16 4x - 2x -12 = 0

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Q: Graph 5. Convert the following equations from standard form to vertex form by finding the vertex,…

A: See this solution in below.

Q: 1. f(x)=-9x² - 18x 2. f(x)=x²-2x - 80 3. f(x) = -2x² - 4x x-intercept(s): zeros: f(-3)=…

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Q: Write the following comparison as a ratio reduced to lowest terms. 139 hours to 2 days

A: Recall: 1 day=24 hours

Q: Let V = R. For u, v EV and a ER define vector addition by uv:= u + v + 1 and scalar multiplication…

A: Let V be a vector space. Then for any vector u in V we have, u+0v=v+0v= u , 0v is the zero element…

Q: Consider the following graph. -14 -12 -10 -8 (a) Determine if the graph of the relation is a…

A: Given graph,

Q: 6x− 4y+7z =-5 2x+16y+kz 4x+6y+2z=-4 0 we must have, k /

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Q: 0 10 20 30 40 Year 50 60 70 80 1963 1990 1995 2000 2005 2011 62.328 58.193 55.773 53.345 44.421 a.…

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Q: a dairy farmer wants to mix 60% protein supplement and a standard 35% protein ration to make 1200…

A: Let a pound protein supplement and b pound protein ration are used to make 1200 pounds of a high…

Q: 69. 0≤x≤4 70. 1≤x≤9

A: Given: Here, we will be finding the average rate of change for the function over the given interval…

Q: Calculate ∪ ∞ n = 1 An and ∩ ∞ n=1 Anywhere for each n ∈ N the set Anis defined as: (iv) An= {x…

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Q: Maria ate of a pie. Her of what Maria ate. ad 14

A: Given that  Maria ate  of a pie   Quantity of pie Rebecca ate is  of what Maria ate

Q: Find the greatest common factor of these two expressions. 30 z7v8w² and 20u5w6 0

A: Given query is to find the greatest common factor.

Q: Classify each number below as an integer or not. 16 4 -34 - 10 —— 13 24 4 -22.92 Integer? Yes No O O…

A: An integer is a number with no decimal or fractional part and it includes negative and positive…

Q: y=-x+5

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Q: 1 Convert 8 quarts to pints. 2 - 8 quarts = pints

A: Solution: Given data, 8 1/2 quarts = 17/2 quarts (8 1/2 = (8*2+1)/2  = 17/2 )

Q: Debi has $1.50 in a collection of dimes and nickels. The number of nickels is six more than the…

A: We need to find no. of each type of coin.

Q: The graph of y=f(x) is given. Graph the function y=2f(x+5)-2. Ty y = f(x) -10-9-8-7-6-5-4 10- 9+ 8-…

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Q: Two buses leave towns 224 miles apart at the same time and travel toward each other. One bus travels…

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Q: Please help me with these math questions. Please show your work

A: As per the rules we can answer only the first question and rest other can be reposted.

Q: Consider the following function. Answer r(x) = 3 - Step 1 of 2: Find the slope and the y-intercept.…

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Q: f(x)=−5−5/3x Step 1 of 2 : Find the slope and the y-intercept. Express the intercept as an…

A: Find the slope and the y-intercept

Q: 13. Relations P and Q are shown below. Relation P Input Output 3 6 7 14 6 14 15 16 a. Make an arrow…

A: Given Tables :- Relation P Input Output 3 6 7 14 15 6 16 14 Relation Q Input Output…

Q: Write the given rate as a fraction in simplest form. An office has 2 copiers for 38 employees.…

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Q: Xx-2 What is the domain of f(x) = - 2 X+5x - 24 ?

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Q: i. Sketch the graph of y = 3 * 2*.

A: Given y=3*2^x

Q: 9 -1 f(x) dx

A: Follow the procedure given below.

Q: Convert the weight as indicated. 9 pounds to ounces 8 www 8 pounds is ounces.

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Q: Classify each number below as an integer or not. 1 56 - 8 48 Integer? Yes O No O X Ś

A: Here, we need to check if the give fraction is an integer or not. -568=-7Yes, Integer.-486=-8Yes,…

Q: 14. Assume that A=(2,3,4,7) B=(5,3,4) and that U is the universal set of natural numbers less than…

A: A={2,3,4,7} B={5,3,4}

Q: The one-to-one functions g and h are defined as follows. g(x) = x+14 7 h = {(1, 5), (4, 6), (6, 1),…

A: Solution: g-1(x)=g(x)-1(x) g(x)=x+147y=x+1477y =x+14x=7y-14change the variabley=7x-14g-1(x)=7x-14…

Q: Consider the following vectors. --0--0--0-- = V = 8 Give the corresponding linear combination. (If…

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Q: Kelly worked on a straight 11% commission. Her friend worked on a salary of $950  plus a 7%…

A: Kelly worked on a straight 11% commission. In a particular month, they both sold $27,300 worth of…

Q: A = E₁ s) Suppose that: -5 3 E₂ = -3 -5 and B = 1 -1 -3 3 5 -4 Given the following descriptions,…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Write a general formula to describe each variation

A: V varies directly with x^3   V∝x3V=kx3 where k is proportionality constant

Q: 5. A sport shop purchased boots for $360 per pair less 33% and 10%. The regular rate of markup on…

A: Buying price per pair of shoes is $360. Let the two discounts be: d1=3313%, d2=10% Net buying price…

Q: Consider the following set of vectors. V₁ = 6 -1 8 V₂ = -1 6 8 Let v₁ and v₂ be (column) vectors in…

A: NOTE: Refresh your page if you can't see any equations. . the matrix equation is

Q: Find the measure of x for the similar figures shown to the right. X= (Simplify your answer.) 4 in.…

A: Similar triangle

Q: metallurgist has one alloy containing 45% copper and another containing 69% copper. how many pounds…

A: Given query is to find the quantity of each type of alloys.

Q: An invertible matrix A can be written as a product of elementary matrices as follows: 2 0 0 1 0 1 0…

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Q: Susan loaned Joey $16,840 at an interest rate of 17% for 4 years. How much will Joey pay Susan at…

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Q: 10. Determine the intervals where the function f(x) = x³ - 6x² is increasing and decreasing. Also…

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Q: Susan loaned Barry $7900$ at an interest rate of 16% for 5 years. How much will Barry pay Susan at…

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Q: Use the graph of y=f(x) to answer the following. + 43 es m 3+ 2+ 1+ m y = f(x) 1 2 3

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Q: Greg needs at least $1.60 in stamps to mail a package. He has $0.28 stamps and $0.04 stamps. He can…

A: Greg needs at least $1.60 in stamps to mail a package. He has $0.28 stamps and $0.04 stamps. He can…

Q: Create the exponential function in the form f(x)=a(b)xfx=abx that fits the two data points given:…

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Q: The graph below represents data that was collected by students on the number of social media posts…

A: Topic -Algebraic operations We are given graph that represents the number of social media posts made…

Q: sin29° 85 27.3+(100 - x) +85

A: sin(29°) = 0.4848

Q: Solve the following inequalities and graph the solution sets. 9. 14x-219 14x-279 4x11 = 2=>311 4 -7…

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