1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlabodo [156]
3 years ago
12

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr

eased to 10°C. (Round your answers to two decimal places.) (a) What is the temperature of the drink after 55 minutes?

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

  (a)  13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

  ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

  ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

  drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

You might be interested in
Plot the corresponding points for the inverse of the function represented by this table of values. x -4 0 3 7
NNADVOKAT [17]

Answer:

See explanation

Step-by-step explanation:

Given the function f(x) for which

\begin{array}{ccccc}x&-4&0&3&7\\ \\f(x)&9&5&2&-2\end {array}

If you want to plot the corresponding points for the inverse of the function f(x), change f(x) into y:  

\begin{array}{ccccc}x&-4&0&3&7\\ \\y&9&5&2&-2\end {array}

switch x and y

\begin{array}{ccccc}y&-4&0&3&7\\ \\x&9&5&2&-2\end {array}

and then change y into f^{-1}(x).

You get

\begin{array}{ccccc}x&9&5&2&-2\\ \\f^{-1}(x)&-4&0&3&7\end {array}

Now plot these points on the coordinate plane (see attached diagram).

3 0
3 years ago
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts
k0ka [10]

The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.

<h3>What is an exponential equation?</h3>

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.

Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Please HELP!!! If 2 of you help I will give you BRAINLIEST!!!!
DanielleElmas [232]

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc % 45™ ><>,><><><°÷5=a 80°

6 0
3 years ago
* this is pretty difficult for me , provide details if necessary * // ANSWER ASAP //
fredd [130]

Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees

5 0
3 years ago
Please, I beg you.
frozen [14]

We know that the true value for pi is given as 3.14156.

Now, we have been given that the approximate value for pi is 3.141

We know the formula

Absolute error,  \Delta x = | \text{True value } - \text{ Approximate value} | \\&#10;\\&#10;\Delta x =|3.14156-3.141|\\&#10;\\&#10;\Delta x =0.00056

Relative error is given by

\text{Relative error }= \frac{\Delta x}{\text{true value} }\\&#10;\\&#10;\text{Relative error }=\frac{0.00056}{3.14156} \\&#10;\\&#10;[tex]\text{Relative error }=0.000178

The percentage error is given by

\text{Relative error } \times 100\\  &#10;\\  &#10;0.000178\times 100  &#10;\\  &#10;=0.0178 \%

7 0
3 years ago
Other questions:
  • A number has the digits 2, 8 and 6 to the nearest ten the number rounds to 830. what is the number. Please break it down.
    12·1 answer
  • It takes a turtle 3 1/4 hours to walk 1 1/2 miles how many hours does it take to walk one mile (show the work please)​
    8·1 answer
  • Whats the gcf of 15 and 70
    6·2 answers
  • If 16 counters are 4/9 then what is One
    10·1 answer
  • A(n) a0 is a complex community of organisms that function as a unit in an environment.
    10·1 answer
  • What is the value of x in <br> 150-35x=45
    15·1 answer
  • I need help with this plz
    6·1 answer
  • Solve for w. 7(-2w + 3) = 1 - 4w <br>what is the value of w? ​
    8·2 answers
  • 2x-y=6<br><br> Rewrite in Slope-intercept form
    5·1 answer
  • BLANK + 308 + -126 = 450
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!