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
Shailes class had 2 students out of 5 students choose Fortnite as their favorite video game. What was the
GuDViN [60]

Answer:

<em>40%</em>

Step-by-step explanation: <em>2 divided by 5 is 0.4 so that is 40%</em>

6 0
3 years ago
Read 2 more answers
A student was assigned to read a book over 5 days. On the first day, she read 25 pages. On the second day she read 45 pages, on
nignag [31]

Answer:

Hint : They are a all common factors of 5

Step-by-step explanation:

You divide each of them by 5 then add them all together then you will get your answer.

Good luck!

7 0
2 years ago
Claudia is going to buy a used car for $9,500. She can finance it at the car dealership at 11% interest for 3 years, or she can
Thepotemich [5.8K]

Answer:

i dont know sorry

Step-by-step explanation:

5 0
3 years ago
Is 499.50 great than or less than 499.05?
mote1985 [20]

Answer:

greater

Step-by-step explanation:

8 0
3 years ago
In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of
Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

p = 0.95

and

q = 1 - 0.95 = 0.05

The standard deviation of the proportion is

=  \sqrt{ \frac{pq}{n} }

=  \sqrt{ \frac{0.95 \times 0.05}{750} }  \\  = 0.00796

We want to find the probability, that the sample proportion,

\hat p \leqslant  \frac{700}{750} \\    \hat p \leqslant  0.9 \bar3

P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\  = P(Z\le - 2.09) \\  = 0.0183

5 0
3 years ago
Other questions:
  • What is the answer to 6,007,200 in exspanded form
    11·1 answer
  • A pair of dice was rolled many times
    12·2 answers
  • Look at the number line below.
    12·1 answer
  • Need help with these questions please help!!
    10·2 answers
  • Who is up I NEED HELP WITH MATH!!!! PLEASEE
    15·1 answer
  • Please help me asap help. The other two options are 6 2/8 and 6 1/4
    12·1 answer
  • –3(x + 1) ≤ 6 on the number line.
    8·1 answer
  • I really need your help
    7·1 answer
  • Can someone help me pls and if you have a time to explain it how to do it…
    11·1 answer
  • The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!