15,254 Answered Questions for the topic precalculus

Precalculus Math Calculus Mathematica

09/29/22

A particle moves along the x-axis, its position given by x(t) = t/(1 + t^2), t >= 0, where t is measured in seconds and x in meters.

A particle moves along the x-axis, its position given by , where t is measured in seconds and x in meters.(a) Find the acceleration at time t.(b) When is the particle speeding up? (c) When is the... more
Precalculus

09/29/22

Radian and Degree Measure

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 99 feet and it takes 44 seconds for it to make a complete... more
Precalculus

09/29/22

Math jdbdid eirhrh

A university had enrollments of 40,563 students in 2000 and 44,115 students in 2008 at its main campus.(a) Assuming the enrollment growth is linear, find a linear model that gives the enrollment in... more
Precalculus

09/29/22

Math Question regarding length

The length of a new rectangular playing field is 2 yards longer than double the width. If the perimeter of the rectangular playing field is 358 yards, what are it's dimension's? Length and Width
Precalculus

09/29/22

linear function

Jacqueline leaves city A at 2:00 p.m. and drives at a constant speed, traveling west on I-90. She passes city B, 40 mi from city A, at 2:50 p.m.a) Find a linear function d that models the distance... more
Precalculus

09/29/22

Radian and Degree Measure

Given a circle of radius 11m, find the length of the arc subtended by a central angle of 120°. Round decimals to the nearest hundredth.___m
Precalculus

09/28/22

Approximate the following logarithms using the properties of logarithms given

Approximate the following logarithms using the properties of logarithms givenlog𝑏(2)=0.236log𝑏(3)=0.375log𝑏(5)=0.549log𝑏⁡(12) = ??lo𝑏⁡(50) = ??logb𝑏(5𝑏^2) = ??
Precalculus

09/28/22

Find an exponential model for the population (in millions of people) at any time 𝑡t, in years after 1980.

The population of a region is growing exponentially. There were 35 million people in 1980 (when 𝑡=0t=0) and 65 million people in 1990. Find an exponential model for the population (in millions of... more
Precalculus

09/28/22

Rewriting The Expression and Solving For Variables

Use the Laws of logarithms to rewrite the expression in a form with no logarithm of a product, quotient or power. log(𝑥^14𝑦^19 / 𝑧^5)After rewriting we have log(𝑥^14𝑦^19 /... more
Precalculus

09/28/22

A population, 𝑃(𝑡) (in millions) in year 𝑡, increases exponentially. Suppose 𝑃(6)=21 and 𝑃(15)=31.

A population, 𝑃(𝑡)P(t) (in millions) in year 𝑡t, increases exponentially. Suppose  𝑃(6)=21  P(6)=21  and  𝑃(15)=31 P(15)=31. a) Find a formula for the population in the form 𝑃(𝑡)=𝑎𝑏𝑡P(t)=abt. Enter... more
Precalculus

09/28/22

What is the net change between (0,6) and (5,5)?

Precalculus

09/28/22

a function is given

g(x)=2/x+7; x=0,x=h determine the net change and average rate of change between the given values of the variable.
Precalculus

09/28/22

a function is given.

g(x)=6/x; x=1, x=a determine the net change between the given values of the variable.
Precalculus

09/28/22

Solve: | 3 x + 4 | < 8 Give your answer as an interval.

Precalculus

09/28/22

Calculus help with finding explicit expression

The population P of city A from 2010 is given by the table. Year 2010 2011 2012 2013 Population 100,500 82,300 67,400 55,200 This seems to follow an exponential decay model P(t) = P0e kt, where t... more
Precalculus

09/28/22

Lesson: 7.1 Radian and Degree Measure

Given a circle of radius 11m, find the length of the arc subtended by a central angle of 120°. Round decimals to the nearest hundredth.
Precalculus

09/27/22

Find a formula for a function f(x) such that f(3) = 0; F(x) is even; f has horizontal asymptote at y=2, f has vertical asymptotes at x=4 & x=-4; f(0) = 1

Find a formula for a function f(x) such that f(3) = 0; F(x) is even; f has horizontal asymptote at y=2, f has vertical asymptotes at x=4 & x=-4; f(0) = 1

09/27/22

What does n=? (statistics)

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 2 percentage points with 90​%... more
Precalculus Algebra 2 Calculus

09/26/22

Precalc question

f(x) = √2x^3-32x. (note the all of the terms are under a square root)(b) graphing the function in the radicand and determining intervals on the x-axis for which the radicand is... more
Precalculus Math

09/26/22

I'm a little stuck on this problem and I need some help

A landscaper plants circular flowerbeds in square plots of land of various sizes. Once the flowerbed is built she fills in the uncovered land with sod. As a result, the amount of sod needed is... more
Precalculus Trigonometry

09/26/22

triple angle identity

sin(3x) = 3sin(x) - 4sin3(x)which is also equal tosin3(x) = [3sin(x) - sin(3x)] / 4For this equation, if the problem states sin^3(theta+120), why would I only substitute the value inside the... more
Precalculus Algebra 2

09/26/22

Algebra II question

   f(x)= 6x-5 /9x+2 Evaluate: f(-a), -f(a), f(a+h)f(x) = −4x2 + 2x − 9Evaluate: -f(a), f(a+h)

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