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
Flauer [41]
3 years ago
8

The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)

is the temperature in degrees Celsius, and x is the elapsed time in minutes. Graph the function and determine how long it takes for the temperature to reach 28°C. What was the initial temperature?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
You might be interested in
The gallons of gasoline used varies directly with the number of miles driven. If 15 gallons cost $30, what is the cost of 7.5 ga
inn [45]
U will have some left but idn sry but give me a like for trying :p
7 0
3 years ago
Three-quarters the product of two numbers m and n. what is it in algebraic expression
Delvig [45]

Answer:

m × n = 3/4

Step-by-step explanation:

Product means to multiply together so the symbol is a multiplication symbol.

I hope it helps! Have a great day!

Lilac~

5 0
2 years ago
As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the
Firdavs [7]

Limits at infinity truly are not so difficult once you've become familiarized with then, but at first, they may seem somewhat obscure. The basic premise of limits at infinity is that many functions approach a specific y-value as their independent variable becomes increasingly large or small. We're going to look at a few different functions as their independent variable approaches infinity, so start a new worksheet called 04-Limits at Infinity, then recreate the following graph.

plot(1/(x-3), x, -100, 100, randomize=False, plot_points=10001) \ .show(xmin=-10, xmax=10, ymin=-10, ymax=10) Toggle Explanation Toggle Line Numbers

In this graph, it is fairly easy to see that as x becomes increasingly large or increasingly small, the y-value of f(x) becomes very close to zero, though it never truly does equal zero. When a function's curve suggests an invisible line at a certain y-value (such as at y=0 in this graph), it is said to have a horizontal asymptote at that y-value. We can use limits to describe the behavior of the horizontal asymptote in this graph, as:

 and 

Try setting xmin as -100 and xmax as 100, and you will see that f(x) becomes very close to zero indeed when x is very large or very small. Which is what you should expect, since one divided by a large number will naturally produce a small result.

The concept of one-sided limits can be applied to the vertical asymptote in this example, since one can see that as x approaches 3 from the left, the function approaches negative infinity, and that as x approaches 3 from the right, the function approaches positive infinity, or:

 and 

Unfortunately, the behavior of functions as x approaches positive or negative infinity is not always so easy to describe. If ever you run into a case where you can't discern a function's behavior at infinity--whether a graph isn't available or isn't very clear--imagining what sort of values would be produced when ten-thousand or one-hundred thousand is substituted for x will normally give you a good indication of what the function does as x approaches infinity.

6 0
3 years ago
What is the answer to this and can you explain
katovenus [111]

Answer:30

Step-by-step explanation:

5 0
3 years ago
Let y be inversely proportional to x. if x​ doubles, what happens to​ y?
Mila [183]
When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it. 

This means; 

y=k/x (where k is a constant number like 1 or 2, etc) 

If you double x, the value of y is halved. I have attached a graph that shows this. 

Hope I helped :) 

4 0
3 years ago
Other questions:
  • Please help me with this 6 problem please please and I need work to please
    14·1 answer
  • Jeremy collected nickels for 1 week. He is making stacks of his nickels to determine how many he has. The thickness of 1 nickel
    11·1 answer
  • Help on 10-13 please I will give brainliest and thanks
    12·2 answers
  • PLEASE help asap if you know the answer!!!!! quadratic functions : vertex form thank you!
    6·1 answer
  • Which of the following is a simulation?
    5·2 answers
  • . On a coordinate map a pizzeria is located at (9, 3). A pizza is being delivered to a house located at (9, Each unit represents
    15·2 answers
  • Can someone be kind to help me on questions 29-30
    6·1 answer
  • 3.1 × 10^-4 in standard form
    5·1 answer
  • Help is needed here
    13·1 answer
  • A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!