Is there a number a such that the following limit exists? Find the value a, and evaluate the limit.  lim x→−2  (4x2+ax+a+12)/(x2+x-2)

Q: Rewrite using a rational exponent. Assume all variables are positive. (x^72 c^16)^1/8.   (1/5x + 8…

A: Rewrite using a rational exponent. Assume all variables are positive. (x^72 c^16)^1/8.   (1/5x + 8…

Q: 1) Find the volume of the prism.. 2) Find the volume of the cylinder. Round to the nearest tenth.…

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

Q: left with the sequence on the right.         1. an=-an-1         2. an=5-an-1         3.…

A: Aim: match the recursive formula on the left with the sequence on the right.

Q: -8 TITI O {(-3, 1), (-1,0), (0, 2), (1,4), (5, 2)} {(1, -3), (-1,0), (0, 2), (4, 1), (2,5)} 3+-30 D…

A: This question is based on coordinate geometry.

Q: Expand (i - 1) ^2

A: Topic = Complex number

Q: Let overline u =(2.2-4) and overline v =(a,1-1) . For what values of 'a' are u and v orthogonal?

A: Let overline u =(2.2-4) and overline v =(a,1-1) . For what values of 'a' are u and v orthogonal?

Q: Eight thousand raffle tickets are sold. One first prize of ​$1000​, two second prizes of ​$750​, and…

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Q: 13) A single cell amoeba doubles every 2 days. Approximately how long will it take one amoeba to…

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

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Q: 20 (b-a-c) 2b = K²(a+b+c) ³ 2C (c-a-b) -b-a) za zb

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Q: 2x³ y³ by 5x²y⁵

A: Simplifying the given expression

Q: The graph of a function is given. Determine whether the function has an inverse function. Does the…

A: We have a given graph of function

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

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Q: Find all real zeros of the function. g(x)=-4x (x²-9) (x-3) −9)

A: To find the zeros.

Q: From March to April 42 January 43 February 77 March April 43 May Remain steady Slow fall June…

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Q: 2. During the Bake Sale, of the red velvet cupcakes, of the vanilla cupcakes, and of t chocolate…

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Q: Show that e = (1 + i)/√2 if and only if z = (n/4+2km)i, k = 0.±1, +2...

A: This question is related to complex numbers,  we will solve it using given information.

Q: y'''+2y''-5y'-6y=0 y(0)=0 y'(0)=0 y''(0)=1

A: Solve the diffrential equation y'''+2y''-5y'-6y=0 y(0)=0, y'(0)=0 ,y''(0)=1

Q: Solve each problem by using composite functions. Be sure to show all work. What is the volume of a…

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Q: Given the system of linear equation in two variables 1. Complete the table -2 -2 -1 y = 5x + 5 0…

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Q: At the restaurant i 23 , they have 6 appetizer, 14 entree, and 7 dessert options. How many unique…

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Q: . Find the equation of the graph. Oy Y = = x y = -a Oy = r 2y=-²0 I -

A: Topic:- equation of straight line      As we know that equation of line is given by  y= mX +c

Q: -8 absolute maximum (x, y) absolute minimum 6 -4 -2 = y 200 (x, y): 150 = 100 50 -50 100 150 200…

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Q: lgebra find [Q(6√2) :Q]

A: topic;- algebra

Q: -x+2y=2 -x+y=-1 substitution method.

A: Given

Q: (a) Show that y+x-6=0 is an implicit solution to on the interval (-∞0,6). dx 8y (b) Show that…

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Q: Perform the indicated operation. Simplify your solution. 2+1/12 Select one: O A. OB. 4 O C. O D. Ο…

A: Given; [1-1/2]/[2+1/4].

Q: Sound waves, measured in decibels (dB), are computed using the formula f(x) = 10log I + 120, where I…

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Q: Simplify the expression: 5logs 10 If your answer is a fraction, then convert it to a decimal first.…

A: Solution

Q: GRAPHING LINEAR RELATIONS - Exit Card Match each equation with its corresponding graph Image Letter…

A: 1)y=-2x-1 Graph

Q: 3) Jay had a party. Including Jay, there were a total of 25 people. 10 of them live in Reading. a)…

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Q: complete the square: e2x-9

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v,…

A: A inner product space satisfies the following properties:1. Linearity:- (ax+by, u)=a(x,u)+b(y,u)2.…

Q: 18. To what amount will $10,000 grow after 25 years if it earns: a. 4% compounded annually? b. 4%…

A: Topic = Algebra As per guidelines , At a time only one question with three sub-parts can be…

Q: Write the exponential equation as an equivalent logarithmic equation. x = z Select one: A. logx y =…

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Q: Use the geometric method to find the eigenvalue(s) and corresponding eigenspace(s) of A. 4-6-9] A A₁…

A: Given :A=100-1

Q: Perform the indicated operation. Simplify your solution. x+y +1 2 x+y Select one: O A. 2(x+y+1)…

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Q: 12) The intensity level of the sound of rushing water made by the Niagara Falls is calculated to be…

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Q: Consider the following. f(³) = ½1⁄2, f(2) = 4 (a) Write the linear function f that has the given…

A: We have given value of function at two point

Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

A: We have to find the area of region inside cardioid.

Q: Factor Fully a) 3x² + 12x c) 2x² +14x +24 e) 5x² - 45x + 100 g) -3x² - 30x - 72 b) -7x²+ 14x d) 4x²…

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Q: A raffle is being held to benefit the local animal shelter. They sell 957 tickets that do not win…

A: For 957 tickets, the shelter earns=$957×5=$4785.10 tickets win a free adoption valuet at $20, so for…

Q: 1. Simplify the following fully (use only positive exponents). Then evaluate fully (NO DECIMAL…

A: Solve by using only positiive exponents.

Q: Grace's bank has a Cerificate of Deposit with an APR of 5% compounded monthly. (a) If Grace deposits…

A: Here, the formula used is: CI=P1+rnnt Here, CI is compound interest, P is the principal amount, r is…

Q: The point (5, ) lies on the graph of the equation y=4x-7

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y z = 1…

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Q: The rate of increase of the number of bacteria in a petri dish is equal to the square root of the…

A: Using exponential function

Q: Evaluate the following postfix expression: 37 14 % 2 ^ 5 +

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Q: For f(x)=√x and g(x)=x-4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(5); d.…

A: See this solution in below