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
horsena [70]
3 years ago
10

A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let t represent the number of hours since the candl

e was lit, and suppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for f. f(t)- 16-0.8t Previewb. What is the domain of f relative to this context? c. What is the range of f relative to this context?
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

a.

The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.

After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.

After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.

Hence, the length of the candle after t hours when it was lit can be represented by the function, f(t) = 16 - 0.8t. f(t) = 0 at t = 20.

b.

The domain of the function is 0 to 20.

c.

The range is 0 to 16.

You might be interested in
What is the sum of the difference?
Alona [7]

Answer:

A. 9x^4 and 3x^5y

Step-by-step explanation:

there are two ways to solve this:

first way:

You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations

the second way is the regular way

when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case 5x^{4} +4x^2 is the same as (5x+4x)^(4+4) = 9x^4and you can do the same process for subtraction

12x^{5}y-9x^5 y\\(12x-9x)^(5+5)*y= 3x^5y

8 0
3 years ago
He climbed 16 yards in 32 minutes. What is the change in elevation each minutes?
ra1l [238]

Answer:

.5 yds per minute

Step-by-step explanation:

To find the change in elevation, divide the yards by the minutes

16 yds/ 32 minutes

1/2 yds per minute

.5 yds per minute

3 0
3 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
natta225 [31]

Answer:

y = 4x + 4

Step-by-step explanation:

Two points you can see on the graph are (0,4) and (-2,-4)

Now, to find the slope, use delta y/ delta x

(-4-4)/(-2-0)

(-8)/(-2) = 4

Slope is 4.

y = 4x + b

Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.

This value is 4. So, the y-intercept is 4

Substitute into your equation

y = 4x + 4

6 0
3 years ago
Read 2 more answers
14x 1 =63 square root equation
soldier1979 [14.2K]
Add the one from the left to the 63 to get 64. Then divide both sides by 4 and get x^2=16. Take the square root of both sides to get x to equal 4.
4 0
2 years ago
What is the range of 8,2,10,4,4,6
fredd [130]
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
10
−
2
=
8
10
-
2
=
8
.
8
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of each interior angle of a regular undecagon?
    6·1 answer
  • Luis counts the total number of ducks swimming on a pond each day. On Monday he counts 1 duck. On Tuesday he counts 2 ducks. On
    15·2 answers
  • The sum of two is 88. one number is 40 more then the other. Find the numbers
    6·2 answers
  • I need help with questions 6 and 7
    5·1 answer
  • Rarotonga Holiday
    9·1 answer
  • Which table shows a proportional relationship between X and Y?
    10·1 answer
  • The figure below is a parallelogram. Find the measure of the<br> variables.
    12·1 answer
  • Help :( math for 8th
    7·2 answers
  • The office in the living room in a tiny house shower wall the area of the office is 28 ft the area of the living room is 63 ft t
    13·2 answers
  • Need help answering these, with work please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!