Evaluate log2 8 to three decimal places. Oa) -0.195 Ob) -5.129 Oc) -12.000 Od) -4.710

Q: A committee of six people is chosen from seven senators and ten representatives. How many committees…

A: Given,          Number of senators = 7          Number of representative = 10

Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

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Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

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Q: An electricity company charges its customers a fixed base charge of $8 a month, plus 12 cents per…

A: Given fixed cost= $8 per month Costs  for the first 500kWh cost is 12 cents = $0.12 per kWh for the…

Q: function is increasing, decreasing, or constant. C 5. g(x)= x +21+|x-1|-2, 10 8 10 -8 -6 -4…

A: Given gx=x+2+x-1-2

Q: C. Determine the center and radius of each circle in general form. Then draw its gra 2. 1. x² + y² -…

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Q: Q1. Q2. Solve the initial value problem of first order linear differential equation: X +y=e*; y(1) =…

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Q: For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX =…

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Q: (b) / ₁ 1 -dx 1 + x³

A: ∫11+x13dx

Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

A:

Q: D 0 3 Use the graph of g to determine lim g(x). X-2* Does not exist 10 9 8 7 6 5 4 3 2 1 0 -14 0 1 2…

A: Please see the below picture for detailed solution.

Q: 2 -2. f(x) = x³ (a) f(3) 3. g(t) = 21²-3t+1 (a) g(2)) 4. h(t) = √t+6-2 (a) h(-6)) (b) f(-2) (b) g(v)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose it is found that…

A: Let present amount of Radium =x

Q: solution. 1. The center of the circle is at (-3,7) and goes through the origin. 2. The center of the…

A: Topic = Circle As per guidelines, At a time only three sub-parts can be answered.

Q: 5TT Convert the angle from radians to degrees. 4 5T 4 = degrees Convert the angle 210° to radians.…

A: conversion from radian to degree=number of radian×180°π

Q: 2. An object is placed in a room where the temperature is kept at a constant 60°F. The object cools…

A: An object is placed in a room where the temperature is kept at a constant 60°F.The object cools from…

Q: 2:51 1 Search 21. lim xcscx is (A)-. 22. 23. lim 24. 25. lim (A) -4 2x² +1 (2-x)(2+x) x0X (A) 0…

A:

Q: Complete the table to find the derivative of the function. Original Function 1 5x4 y = Rewrite X…

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Q: Solve (x² − 1)(x² + x − 2) >= 0 using an interval chart.

A: Topic:- algebra

Q: Domain (r) 2 4 1. Range (y) 5 8 9 -7 Domain (r) 1 13 9 0 2. Range (y) 11 8 2 Domain () 2 3 9 -1 3.…

A: According to the guidelines I need to answer only first three parts still I have solved first four…

Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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Q: ake the derivative of f(x) = lae-lxxa-1 with respect to x and set the derivative equal to 0.  This…

A: f(x)=lae-lxxa-1 where l and a are positive constants. Lets use product and chain rule. Product rule…

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees.…

A: To plot the angle π5

Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p q b) the angle between p and a

A:

Q: The graph shows the number of trips taken annually on a certain state's mass transportation system.…

A: We can find the answers in the following steps.

Q: Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a breadth of 30 m.…

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Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: Given f(x)=x-1 and g(ò)=x*, determine an equation for (gof)(x). a) (gºf)(x)=(x−1)ª b)…

A: To determine an equation fon (gof)(x).

Q: x³ - 3x²y = C

A:

Q: Find the average rate of change of the function over the given interval. R(0)=√√50+1 [3,16]

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Q: 11) Find the antiderivative: f -3+6√x³ √√x dx

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Q: The composite function (f)(x) is equal to a) x O b) f(x) c) ƒ'(x) d) [ƒ'w][f]

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Q: (a) Find f(-21) and f(-6). f(-21) = f(-6)= (b) Find f(18) and f(0). f(18)= f(0) = (c) Is (6)…

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Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: -6 -5 -4 -3 256 224 192 160 128 96 64 32 -32 -64+ -96- -128 -160- -192 -224 -256- -288 -320- -352…

A:

Q: Use the table to find lim¸ ƒ(x) x → 5 X 4 4.9 f(x) 6 7.8 7.99 6 4.99 5 5.01 5.1 6 8.02 8.1 11

A: Find out the given limit by the help of the table.

Q: Evaluate 14 26 -7 2³ +8 z² dz. Round your answer to two decimal places. £¹₁4 z6 − 7 x³ +8 r² dz=…

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Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: If √6-5x² ≤ f(x) ≤ √√6-x² for -1 ≤x≤1, find lim f(x). lim_f(x) = X-O X-0 (Type an exact answer,…

A:

Q: The volume of a sphere is given by where r is the radius. Find the volume, in cubic inches, when the…

A: The given problem is solved below in detail.

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

A:

Q: Given each of the pairs of functions, determine the domain of (fog)(x). 2 a. f(x)=2*, g(x) = X b.…

A: We have to find domain

Q: Use the graph of f to estimate the (a) local extrema and (b) absolute extrema. (a) Estimate any…

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Q: 1. A radioactive substance with an initial mass of 5kg has a half-life of 30 months. a) Write an…

A: Answer is in next step!

Q: Using concepts of derivatives explain how you would determine the interval for which the following…

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Q: 2) The position function of a moving object is s(t) = tz(7-t), where 0 ≤ t ≤ 20. The position s(t)…

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Q: 2.3 2.3.1 2.3.2 Mr. Anderson wants to set up a vegetable garden on the leftover land in his yard. He…

A: Let's solve area for rectangle and circle.

Q: Find the limit if it exists. lim (12x+1) X-6 Which of the following shows the correct expression…

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Q: Which of the following has a horizontal asymptote of y = 0?

A: In all given option

Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p.a b) the angle between p and a c) the…

A: