Question

In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 40 + 11 sin πt 12 . Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.).

Answer #1

Q.1 Outside temperature over a day can be modeled as a
sinusoidal function. Suppose you know the high temperature of 83
degrees occurs at 6 PM and the average temperature for the day is
65 degrees. Find the temperature, to the nearest degree, at 10 AM.
(Answer: degrees)
Q.2 Outside temperature over a day can be modeled as a
sinusoidal function. Suppose you know the temperature varies
between 60 and 90 degrees during the day and the average daily
temperature...

Outside temperature over a day can be modeled as a sinusoidal
function. Suppose you know the high temperature of 100 degrees
occurs at 4 PM and the average temperature for the day is 80
degrees. Find the temperature, to the nearest degree, at 7 AM.

Outside temperature over a day can be modeled as a sinusoidal
function. Suppose you know the high temperature of 57 degrees
occurs at 3 PM and the average temperature for the day is 50
degrees. Find the temperature, to the nearest degree, at 7
AM.
degrees

The temperature in Middletown Park at 6:00 AM last Sunday was
49.2 degrees Fahrenheit. The temperature was changing at a rate
given by r left parenthesis t right parenthesis equals 3.29 cosine
left parenthesis StartFraction pi t Over 12 EndFraction right
parenthesis plus 0.032 where t is in hours after 6:00 AM last
Sunday. ROUND ALL ANSWERS TO 2 DECIMAL PLACES. At 10:00 AM last
Sunday, the temperature in the park was increasing at a rate of
about 1.68 degrees...

. A hotel’s reservation center receives 180 calls on average
from 9:00 AM – 10:00 AM, and the number of calls in that hour can
be modeled by a Poisson random variable. (a) (8 pts) Find the
probability that more than one call come in the one-minute period
9:26 AM – 9:27 AM. (b) (8 pts) Find the probability that the first
call after 9:00 AM actually comes in after 9:02 AM.

The lifts at Purgatory open at 9 am (t=0) and close at 4 pm
(t=7). On a certain run, the minimum depth of snow for safe skiing
is 40 cm. Purgatory wants to keep the run open from 9 am to 4 pm,
but also maintain the illusion of natural snow. So, they will run
the snow making machine at the top of each hour, but run it the
minimum length of time necessary to maintain a depth of snow...

After an antibiotic tablet is taken, the concentration of the
antibiotic in the bloodstream is modeled by the function
C(t) = 7(e−0.4t − e−0.6t)
where the time t is measured in hours and C is
measured in µg/mL. What is the maximum concentration of the
antibiotic during the first 12 hours? (Round your answer to four
decimal places.)
µg/mL

The population P (in thousands) of a certain city from 2000
through 2014 can be modeled by P = 160.3e ^kt, where t represents
the year, with t = 0 corresponding to 2000. In 2007, the population
of the city was about 164,075.
(a) Find the value of k. (Round your answer to four decimal
places.)
K=___________
Is the population increasing or decreasing? Explain.
(b) Use the model to predict the populations of the city (in
thousands) in 2020 and...

The initial size of the bacteria is 1000. After 3 hours the
bacterium count is 5000.
a. Find the function to model the bacteria population after t
hours.(Round your r value to four decimal places.
b. Find the population after 6.5 hours. Round your answer to the
nearest whole number.
c.When will the population reach 14,000? Round your answer to
one decimal place.

A species of fish was added to a lake. The population size P (t)
of this species can be modeled by the following exponential
function, where t is the number of years from the time the species
was added to the lake.P (t) =1000/(1+9e^0.42t) Find the initial
population size of the species and the population size after 9
years. Round your answer to the nearest whole number as necessary.
Initial population size is : Population size after 9 years is:

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