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2 years ago

Help help please …thanksss

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

5 0

32 x 6 = 192

192+ 30 = 226

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A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

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4 years ago

Convert the angle - 3 radians to degrees, rounding to the nearest 10th

dlinn [17]

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

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3 years ago

Complete each question by choosing or typing in the best answer.

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Where are the questions

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3 years ago

Which of the following graphs best represents the solution to pair of equations below

BigorU [14]

Answer:

where are the graphs

Step-by-step explanation:

you can upload files to brainly to help the community understand the question. besides, without looking it's probably a curve and a line

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3 years ago

A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costume

Step2247 [10]

Answer:

100 yards

Step-by-step explanation:

It takes 4 yards of fabric to make a costume for one student. She needs to make costumes for every student in chorus, so you just multiply this number by 25 and get 100 yards.

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3 years ago

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