Pre-Cal 40S April 30, 2009
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The document discusses exponential modeling and provides examples of exponential growth problems. It asks the reader to assume that 1 tribble produced 1,771,561 tribbles in a certain amount of time and to determine how long it would take. It also provides population growth examples for Winnipeg and investment/decay examples involving exponential functions.
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(Page 1)1. Find the circumference and area of the circle .docx
(
Page 1
)
1. Find the circumference and area of the circle having the given diameter. d = 12 cm
The circumference is 37.7 cm.
(Round to the nearest tenth as needed.)
The area is 113.0 cm 2.
(Round to the nearest tenth as needed.)
2. An oval track is made by erecting semicircles on each end of a 56 m by 112 m rectangle. Find the length of the track and the area enclosed by the track.
The length of the track is 400 m.
(Round to the nearest whole number.)
The area enclosed by the track is 8734 m2.
(Round to the nearest whole number.)
YOU ANSWERED: 17,500
3. Find the surface area and the volume of the cylinder.
Surface area = 226.08 cm-
Volume = 251.2 cm3
(Round to the nearest hundredth.)
YOU ANSWERED: 276.0
5 cm
(
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4. At a Halloween pumpkin sale, Sara buys two sphere-shaped pumpkins, one with radius 4 inches and the other with radius 6 inches. Compute the surface area and volume for each pumpkin. Then find the surface-area-to-volume ratio for both pumpkins. Which pumpkin has the larger ratio?
The surface area of the pumpkin with a 4-inch radius is 201 in2.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The volume of the pumpkin with a 4-inch radius is 267.9 in3.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The surface area of the pumpkin with a 6-inch radius is
452.47 in2.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The volume of the pumpkin with a 6-inch radius is
904.3 in3.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Which pumpkin has the larger surface-area-to-volume ratio? The pumpkin with a 6-inch radius
The pumpkin with a 4-inch radius YOU ANSWERED: 452
5. Find the angular size of a circular object with a 2-inch diameter viewed from a distance of 6 yards.
The angular size of the object is 0.53
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
6. A mountain peak rises from sea level to a summit elevation of 3894 ft over a horizontal distance of 15,842 ft. Find the grade of the peak.
The grade of the peak is 25 %.
(Round to the nearest percent as needed.)
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7.
On the map (right), the length of each
1
east-west
block is — mile and the length of
5
Theater
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Grocery store
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) (
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•
)
(
e
Library
) (
1
4
) (
S
) (
A
L
L;
) (
•
) (
•
) (
:
41
_
) (
•
) (
•
)each north-south block is —4 mile. Victoria has
to walk from the library to the theater. Find the shortest walking distance. Then find the straight-line distance ('as the crow flies') between the two locations.
(
What is the shortest walking distance? 2.1 mi
) (
Bus stop
—
mi
5
)
(Round to the nearest hundredth as needed.)
What is the straight-line distance?
1.68 mi
(Round to the nearest hundredth as needed.)
YOU ANSWERED: 1.78
8. A triangular lot is 160 ft on one side and has a
(
160
)property line of length 900 ft. Find the area of the lot in acres. (Figure not dra ...
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In a world where knowledge is more a verb than a noun how do we foster deep learning in our students? Good questions cause thinking. Unfortunately, many of the questions regularly asked in classrooms focus on knowledge as a noun. This presentation will explore the effective use of thinking and learning tools in the classroom. We will work together to model teaching practices that lead to students co-constructing a networked (real world) rather than hierarchical (artificial) understanding of their world regardless of grade level or discipline.
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Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
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● What is event processing in MuleSoft?
● Types of event processing models in Mule 4
● Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
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Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
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Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
Giridhar Meka - https://www.linkedin.com/in/giridharmeka
Priya Shaw - https://www.linkedin.com/in/priya-shaw
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Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
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1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
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- 1. More about Exponential Modeling Fossil 2
- 2. The Trouble With Tribbles or ... more about exponential modeling tribbles by flickr user tr67
- 3. Is Spock telling the truth? Spock says: • total of 1 771 561 tribbles • started with 1 tribble • each tribble produces 10 tribbles/litter every 12 hours • they did this for 3 days
- 4. What if a little more than 3 days have passed? How much time has actually passed? HOMEWORK Assume a total of 1 771 561 tribbles, how long would it take 1 tribble to produce that many?
- 5. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (a) Write an equation to represent the population of Winnipeg, P, as a function of the number of years, y, since 1999.
- 6. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (b) Calculate how many years it would take for the population to double.
- 7. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (c) Calculate when the population will reach 1 million.
- 8. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (d) Write the equation in part (a) as an exponential function with base 2. (e) Write the equation in part (a) as an exponential function with base e.
- 9. Consider the graph of and sketch the graph of ... Identify the asymptote of each graph above.
- 10. Solve each of the following ...
- 11. Consider the graph of and sketch the graph of ...
- 12. A $5000 investment earns interest at the annual rate of 8.4% compounded monthly. a) What is the investment worth after one year? b) What is it worth after 10 years? c) How much interest is earned in 10 years?
- 13. A radioactive substance decays at a daily rate of 0.13. How long does it take for this substance to decompose to half its size?
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