Simplify the expression completely.(28) 5 =Simplify this expression.(24) ³ =The Power RuleThe power of an exponential expression raised to a power is the product of the exponents.Complete this statement of the Power Rule:(3) d = |T-M(x¹) = x"Compare the power rule to the product rule.Simplify. 35. 32-

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section: Chapter Questions

Problem 57SGR

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A virus is believed to be spreading through a sheep farm according to that equation N = 450 (11 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days.(i) How many sheep are infected at t = 0?(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days)(iii) Will all the sheep become infected eventually? Give reasons to support your answer
If ƒ′(x)<= 2 for all x, what is the most the values of ƒ can increase on [0, 6] ? Give reasons for your answer.
Different strains of a virus survive in the air for different time periods. For a strain that survives t minutes, let N=h(t) be the number of people infected (in thousands). The most common strain survives for t0 minutes.What does the statement h(t0+15) tell you about the number of people infected? h(t0+15) is the number of strains whose open-air survival time is 15 minutes. h(t0+15) is the number of people (in thousands) infected by a strain 15 minutes after the common strain. h(t0+15) is the number of people (in thousands) infected by a strain whose open-air survival time is 15 minutes shorter than the most common strain. h(t0+15) is the number of people (in thousands) infected by a strain whose open-air survival time is 15 minutes longer than the most common strain. h(t0+15) is the number of strains whose open-air survival time is 15 minutes longer than the most common strain.
GENERAL MATHEMATICS In buying balls,we consider its elasticity.Ideally,a ball should rebound to 2/3 of its drop height.If a ball dropped from a height of 27 feet onto a court and keeps bouncing up and down,again and again. 1.Prepare a table of values showing the height reached by the ball from the start up to the 10th bounce and write the equation that models the rebound height after the 9nth bounce.How will you modify the equation if the ball is dropped from a height of 15 feet?
A virus is believed to be spreading through a sheep farm according to that equation N = 450 (1/1 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days. (i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.
The rule of 72s states that the number of years for an investment to double is approximately 72 divided by the interest rate percentage. For example, about 12 years are required for an investment to double at 6% interest (12 years = m/6). Find the exact rate required to double an Investment in 6, 8, 9, 12, 18, and 24 years, and compare this with the approximate rule of 72s rate. Solutions manual only with formula, we don't need Microsoft Excel.
1. Rocket Scientists determined that t seconds after launch, a rocket's height, h, in feet above the ground will be given by the equation h = 16(2+t)(22-t) a. Describe the structure of the expression on the right side of the equal sign b. Reason about the structure to determine which values for t will make the expression have a value of 0. c. Why would the rocket Scientistswant to know when the expression has a value of 0 2. The rocket scientists determine that another equationfor the heightof the rocket is: h=2304-16(t-10)^2 a. Describe the structure of the expression on the right side of the equal sign b. Reason about the structure of 2304-16(t-10)^2 to determine the largest value it can have and to determine the value of t at which this occurs: To help your thinking: Why can 16(t-10)^2 never be negative? How can you use the structure of 16(t-10)^2 to determine for which value of t is 0 c. Why would the rocket scientists want to know the largest value of the…
A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s = 96 + 80t - 16t2. (a) After how many seconds does the ball strike the ground?(b) After how many seconds will the ball pass the top of the building on its way down?
When calculating n how is the value -j +k? I did it and i'm always getting -j +0k which is only -j and that affects the whole process and gets me the wrong answer if possible can someone explain what he did in that step and the steps after it?
calculator gave answear as 1/x^2. What I dont understand is how when I did it with rule I got 4/4x^4. Can you show steps rules in this intergration.
An astronaut standing on the moon throws a rock upward. The height of the rock is s=27/10 t^2 + 27t + 6 where s is measured in feet and t is measured in seconds, Part 1 : find expressions for the velocity and acceleration of the rock Part 2 : Fidn the time when the rock is at its highest point by finding the time when the velocity is zero. What is the height of the rock at this time? Part 3 : How does the acceleration of the rock compare with the acceleration due to gravity on Earth?
5 years ago a dad was 6 years older than 3 times his son's age at that time. In 4 years, he will be 5 years older than twice the age of his son. How old are they now? - show this in a Pictorial solution

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