Your pet hamster eats 16 grams of food every 2 days. You fill its feeding bowl on day zero with 73 grams of food. a.Find a linear model/formula for the hamster's eating habit.

Q: Question 5 Verify the identity 1 cos(x) csc²(x) =sec(x) - cos(x)

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Q: Given the relationship shown in the table, what is the value of x when f(x) = 77 X 0 5 6 8 A B x=0 C…

A: from table points for (x,f(x)) are    (0,6),(5,7),(6,-3)and (8,10)

Q: Given f(x)=6x-4, (a) Find f(x+h) and simplify. (b) Find f(x+h)-f(x) h Part: 0 / 2 Part 1 of 2 (a)…

A: To simplify.

Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

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Q: Simplify the expression. Assume all variables are positive. 7 8 (J' b 75 3 B3

A: The given expression is  a75·b8337

Q: what is the solution to the following equation? log_7 (-3x + 25) =2

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Q: Brandy can frame a room in 1 hour, while Jake takes 4 hours. How long could they frame a room…

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Q: It takes an older pump 5 times as long to drain a certain pool as it does a newer pump. Working…

A: let newer pump takes x hr older pump takes = 5x hr

Q: Find the value of k for the polynomial g(x) = -4x^2+7x+k so that x+3 is a factor of the polynomial…

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Q: 11. A = 300 0 3 032 0 0 1 4 0 8 3 0 00 1 12. A 0

A: To find the inverse of matrix.

Q: Suppose f(x) is differentiable and one-to-one. Find (f ¹)'(6), if f(20) = 6 and f' (20) = 44. Round…

A: We know fx=y ⇒x=f-1y The derivative of an inverse functionf-1'a=1f'f-1a

Q: Use the exponential decay model, A = Aekt, to solve the following. The half-life of a certain…

A: A=A0ektgiven half life is 24 years A=A02A02=A0e24k12=e24kln12=lne24klnxn=nlnx

Q: Determine the end behavior of the graph of the function. 1 f(x) = -=-=-x6-7x²-x²³ +7 As x-00, f(x) →…

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Q: Use synthetic division to divide x³ + 2x² - 14x - 1 by xa - 3 Give your answer in the form remainder…

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Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

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Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A: Topic - Exponential function We are given  Initial Population of bacteria=1500 Doubling time = half…

Q: 2. In each of the problems below, find the solution of the given IVP and plot the gra a) y"+y=0;…

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Q: 3. What is the value of h in the graph below? Oh=10 Oh=7 h = 0 Oh=5 10 15

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Q: x W

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which of the following statements about this function are true? Select all that apply.

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Q: A standardized test had a mean score of 1040 with a standard devation of 15. Find the indicated…

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Q: D Using the intermediate value theorem, determine, if possible, whether the function f has at least…

A: The objective of the question is choose the correct option.

Q: if y=logax, then y=a^x

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Q: Allison is solving the following equation for t: A = 5,000(1.1) A 5,000 log1.1 = (1.1) A 5,000 = t…

A: Given: We know that logba=logalogb. So, we get that,                                  t=log1.1A5000…

Q: Choose which statements support correct reasoning when solving the equation 52x+3 = (√√5)² x+4 After…

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Q: ← Graph the linear equation by solving for y first. 3x + 5y =6 Solve the equation for y. (Simplify…

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Q: If the determinant of the first matrix below is as given, find the determinant of the other matrix.…

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Q: Question 2 Use the ADDITION METHOD to solve for x: 3x - y = -8 2x + y = -7 Ox= -3 O x=-1 Ox=3 O x =…

A: See this solution in below.

Q: What is another way to say 1 times negative 4?

A: To write the another way to say 1 times negative 4.

Q: Solve the system of equations using matrices. Use the Gaussian elimination method with…

A: Solution The given system of equations are  x+y-z=-5 3x-y+z=-7 - x + 3y - 2z =1

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: - -[4]. is an eigenvector of the matrix A is not an eigenvector of the matrix A Is the vector O O…

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Q: - Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x)…

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Q: The point at which a company's costs equal its revenues is the break-even point. C represents the…

A: For the following problem,

Q: Determine if the function f(x)= is not one-to-one, say so. x #5, is one-to-one. If so, find the…

A: Here, the given function is: y=f(x)=x+6x-5 Suppose x1, x2 are such that:…

Q: Use the given information to find a formula for the exponential function N = N(t). N(3) = 9 and N(5)…

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Q: Solve the formula for t.   L=4πzt+5πz2

A: separate the variable which we want to find

Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 1479° angle…

A: Given:     Standard position angle =1479° Coterminal angle: Coterminal angles are those angles that…

Q: Use synthetic division to determine if the indicated linear polynomial is a factor of the given…

A: Topic = Polynomial

Q: f(x) = Answer Step 3 of 3: Evaluate this function atx = -5. Express your answer as an integer or…

A: To find the value of function at the given point.

Q: Use the SUBSTITUTION METHOD to solve for x: 2x - y = 14 y = 5x - 2 Ox= 2.29 Ox= -22 O x = 4 x = -4

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Q: ose the vector with the same direction as 3v₁ – 6v2 wl 3 (³₁) 1 ↓ A: ↑ 7 E: V1 B: F: and V2 = C: G:

A: We have to choose the correct option from the given options according to the given information

Q: h(x) = (11) * 10 Find h(x) for each x-value in the table. X 42°F Clear -3 -2 -1 0 1 Explanation h(x)…

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Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

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Q: Use the fact that if A = A = 2-5 1 -4 a b 1 A= | . then A¹ = ad-bc- c d d -b -C a OA. OB. The matrix…

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Q: = LINES, FUNCTIONS, SYSTEMS Domain and range from the graph of a discrete relation The graph of the…

A: Given query is to find domain and range of the relationship.

Q: Evaluate sec 4/3 x cosec 8/3 x dx.

A: The given integral is sec4/3x cosec8/3x.

Q: The average temperature in a certain city has a statistically significant correlation to the monthly…

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Q: A washing machine can be filled in 6 min if both the hot water and the cold water taps are fully…

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Q: Compute the cross product u × v where *(1) A: F: () 14 u= -- ()-₁ × = (²9) V -6 2 B: G: () 2 -12 -21…

A: Note: Since you have asked multiple questions we will solve the first question for you. If you want…