Find the values of: (a) 1/2 + 1/4, (b) 1/2 + 4/5, (c) 3/4 - 1/6.

Q: Z 1 Simplify 22²-232 +3 3z 2+2 Z#-1, 6(2²-1) + ²2-1.1 2-2 Z-1, 1 6(2²-1) 1 6(2+1), 2-1, 1 1 6(z-1),…

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Q: 2 2n² 1-n²¹ 1+n³ 1+n³ 202-1-n 3 1+n³ Simplify Show your work. 2

A: Simplifying the given expression

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A: We have to find the roots

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A: An instrument store gives a 10% discount to all students off the original cost of an instrument.…

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A: Given the population size of the species is modeled by the function P(t) = 12001+8e-0.42 t where t…

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A: We have to find average

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Q: . a) Solve the following first order differential equations, clearly showing all calculation steps…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Given query is to find indicated function.

Q: 6. Algebraically determine the solution to the equation log₂ (2-6)+ log₂ (z-4)=3

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A: probability = observation given result/total observation  here we have to find probability

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Q: Consider the geometric sequence Po = 4, P₁ = 12, P₂ = 36,... a) Find the common ratio R= b) Use the…

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Q: A football team gained 7 yards and lost 15 yards in 4 plays.  The expression (7−15)÷4(7−15)÷4 gives…

A: Note: Since the student has made a typing error by writing the expression "7−15)÷4" twice. So we are…

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Q: Only available answer options are 1, 5, 6 or 10. Please provide reasoning.

A: Here we have to find total number of pans.

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A: System of equations

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A: We know that if three vectors are linearly dependent then one of them can be expressed as a linear…

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Q: 1) Sketch the graph of y = ln(x+1)

A: given :

Q: 12x12 When fully simplified, ignoring non-permissible values, 4x3 x8 24x6 is equal to

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Q: Given that f(x)=x2+6x and g(x)=x−9, calculate (a) (f *g)(x)=    (b) (g*f)(x)=    (c) (f*f)(x)=…

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Q: Which is equivalent to 50-10-15? A. 50- (-10) + (-15) B. 50+ (-10) - (-15) C. 50+ (-10) + (-15) D.…

A: Given: 50-10-15

Q: Q2: Find the determinant of 3x3 Matrix. 57-8 4 -3 6 1 7-9

A: We have to find out the determinants

Q: Solve √4x - 7+3=0. There are no solutions in the set of real numbers. O x = 4 O x = -4 O x = 0

A: The equation is 4x-7+3=0

Q: log2x + log₂ (x-3) = 2

A: Solving for x

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A: here we have to find the compound interest compound interest formula  A = P(1 +r/100)n

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A: Equation of line is given by

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A: Given query is to find the values of x for which both plans cost same.

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A: We know that, P.V=F.V(1+r)n Where P.V.is present value, F.V. Future value, r is annual rate of…

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A: We need to explain the equation.

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A:

Q: Use a system of equations to find the partial fraction decomposition of the rational expression.…

A: The given rational expression,  7x2-6x-8x+2x-22=Ax+2+Bx-2+Cx-22

Q: write the ratio of 3/10 to 1/10 to the lowest term

A: Given, 310110

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A: Given, Mean=50 Standard deviation= 5 x1= 61 x2= 54

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Q: Exponential Functions and Equations:Question 6 If log10 x = 1, what is the value of x ? 1 10 √ 10…

A: This question can be solved using properties of logarithm.

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A: We have to solve above matrix question

Q: Hello Domain and range and questions and the increasing and constant

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Q: 1 1 b+c a+c 1 -1 1 a+b+ 111 a b с 0-20 = 0

A: Aim:111b+ca+ca+b1-11+111abc0-20=0

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Q: (a) Solve 3* ≥ 27 using logarithms.

A: We have to solve  3x ≥ 27  Using logarithms

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A: We can find the composite function as below.

Q: 9-3x Identify the rational expression that is equivalent to 12x + x O a. 9x - 3x² 3 12x² + x O b. O…

A: We can answer the question as below.

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A: We have to evaluate given expression.

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A: Given

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 4 0 1 12 1 1 -4 1 0…

A: LU decomposition