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
Nezavi [6.7K]
2 years ago
6

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Mathematics
1 answer:
wel2 years ago
5 0

Answer:Let Y = height

Let X = time

Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.  

We can calculate the slope from the given values (8,20.4) and (19,18.2)

Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2

This means that the height of the candle is going down by 0.2 cm per hour

Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.  

So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters

Step-by-step explanation:

You might be interested in
What is the solution to 2x-8 <12​
Nookie1986 [14]

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

\frac{2x}{2}  \frac{20}{2}

x<10

4 0
3 years ago
Please help me..!!!!!
schepotkina [342]

Answer:

x + 7

Step-by-step explanation:

1+7=8

2+7+9

so on

4 0
3 years ago
Write a proof that shows how 45 and 4.5 have a factor of 10. and are similar.
Sidana [21]

Answer: 4.5 x 10 = 45

0.45  x 10 = 4.5

5 0
2 years ago
SIMPLYFY THE EXPRESSION WRITE THE ANSWER AS A POWER (5^4)^3
Anastaziya [24]

Answer:

5^12

Step-by-step explanation:

You multiply both roots

5 0
3 years ago
HELP!!!
irina1246 [14]

Answer:

x=-120

x=-102

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Other questions:
  • How many times longer is the length of the rectangle compared to the width? 14.4cm by 1.6cm
    10·1 answer
  • Can anyone help me answer this
    15·1 answer
  • The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number
    11·1 answer
  • Measures of each interior angle
    12·1 answer
  • Solve the equation by using the Square Root Property.<br><br><br><br> 16x2 + 16x + 4 = 81
    8·1 answer
  • The museum guide provides 10 brochures telling about the museum's history to each tourist group. If 12 groups visited today, how
    10·2 answers
  • Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (-2, -6) Midpoint: (-5, 1)
    14·1 answer
  • Least common denominator of 1/8 2/9 and 3/12
    5·1 answer
  • What the value of the angle marked with x is
    12·2 answers
  • What is the slope of the line that goes through the points (-4,2) and (8,5)?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!